1,1,82,91,6.112733,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,a}{2}+\frac{A\,a\,1{}\mathrm{i}}{2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B\,a+A\,a\,1{}\mathrm{i}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a-B\,a\,1{}\mathrm{i}\right)}{d}+\frac{B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{3\,d}","Not used",1,"(tan(c + d*x)^2*((A*a*1i)/2 + (B*a)/2))/d - (log(tan(c + d*x) + 1i)*(A*a*1i + B*a))/d + (tan(c + d*x)*(A*a - B*a*1i))/d + (B*a*tan(c + d*x)^3*1i)/(3*d)","B"
2,1,59,69,6.075269,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A\,a-B\,a\,1{}\mathrm{i}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a+A\,a\,1{}\mathrm{i}\right)}{d}+\frac{B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*a - B*a*1i))/d + (tan(c + d*x)*(A*a*1i + B*a))/d + (B*a*tan(c + d*x)^2*1i)/(2*d)","B"
3,1,38,46,6.064665,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B\,a+A\,a\,1{}\mathrm{i}\right)}{d}+\frac{B\,a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*a*1i + B*a))/d + (B*a*tan(c + d*x)*1i)/d","B"
4,1,36,40,6.230850,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\frac{A\,a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{d}","Not used",1,"(A*a*log(tan(c + d*x)))/d - (a*log(tan(c + d*x) + 1i)*(A - B*1i))/d","B"
5,1,39,44,6.209529,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","-\frac{A\,a\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(a*atan(2*tan(c + d*x) + 1i)*(A*1i + B)*2i)/d - (A*a*cot(c + d*x))/d","B"
6,1,60,68,6.213115,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","-\frac{\frac{A\,a}{2}+\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a+A\,a\,1{}\mathrm{i}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\frac{a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"- ((A*a)/2 + tan(c + d*x)*(A*a*1i + B*a))/(d*tan(c + d*x)^2) - (a*atan(2*tan(c + d*x) + 1i)*(A - B*1i)*2i)/d","B"
7,1,80,89,6.246415,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","-\frac{\left(-A\,a+B\,a\,1{}\mathrm{i}\right)\,{\mathrm{tan}\left(c+d\,x\right)}^2+\left(\frac{B\,a}{2}+\frac{A\,a\,1{}\mathrm{i}}{2}\right)\,\mathrm{tan}\left(c+d\,x\right)+\frac{A\,a}{3}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^3}-\frac{a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"- ((A*a)/3 + tan(c + d*x)*((A*a*1i)/2 + (B*a)/2) - tan(c + d*x)^2*(A*a - B*a*1i))/(d*tan(c + d*x)^3) - (a*atan(2*tan(c + d*x) + 1i)*(A*1i + B)*2i)/d","B"
8,1,100,111,6.479962,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","-\frac{\left(-B\,a-A\,a\,1{}\mathrm{i}\right)\,{\mathrm{tan}\left(c+d\,x\right)}^3+\left(-\frac{A\,a}{2}+\frac{B\,a\,1{}\mathrm{i}}{2}\right)\,{\mathrm{tan}\left(c+d\,x\right)}^2+\left(\frac{B\,a}{3}+\frac{A\,a\,1{}\mathrm{i}}{3}\right)\,\mathrm{tan}\left(c+d\,x\right)+\frac{A\,a}{4}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}+\frac{a\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(a*atan(2*tan(c + d*x) + 1i)*(A - B*1i)*2i)/d - ((A*a)/4 + tan(c + d*x)*((A*a*1i)/3 + (B*a)/3) - tan(c + d*x)^3*(A*a*1i + B*a) - tan(c + d*x)^2*((A*a)/2 - (B*a*1i)/2))/(d*tan(c + d*x)^4)","B"
9,1,153,141,6.101592,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{a^2\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\frac{B\,a^2\,1{}\mathrm{i}}{3}\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-A\,a^2+a^2\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+B\,a^2\,1{}\mathrm{i}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^2\,\left(B+A\,1{}\mathrm{i}\right)}{2}+\frac{B\,a^2}{2}+\frac{A\,a^2\,1{}\mathrm{i}}{2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(2\,B\,a^2+A\,a^2\,2{}\mathrm{i}\right)}{d}-\frac{B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}","Not used",1,"(tan(c + d*x)^3*((a^2*(A*1i + B)*1i)/3 + (B*a^2*1i)/3))/d - (tan(c + d*x)*(a^2*(A*1i + B)*1i - A*a^2 + B*a^2*1i))/d + (tan(c + d*x)^2*((A*a^2*1i)/2 + (a^2*(A*1i + B))/2 + (B*a^2)/2))/d - (log(tan(c + d*x) + 1i)*(A*a^2*2i + 2*B*a^2))/d - (B*a^2*tan(c + d*x)^4)/(4*d)","B"
10,1,111,107,6.132317,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^2\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{B\,a^2\,1{}\mathrm{i}}{2}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^2\,\left(B+A\,1{}\mathrm{i}\right)+B\,a^2+A\,a^2\,1{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(2\,A\,a^2-B\,a^2\,2{}\mathrm{i}\right)}{d}-\frac{B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(tan(c + d*x)^2*((a^2*(A*1i + B)*1i)/2 + (B*a^2*1i)/2))/d + (tan(c + d*x)*(A*a^2*1i + a^2*(A*1i + B) + B*a^2))/d + (log(tan(c + d*x) + 1i)*(2*A*a^2 - B*a^2*2i))/d - (B*a^2*tan(c + d*x)^3)/(3*d)","B"
11,1,76,80,6.096413,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(2\,B\,a^2+A\,a^2\,2{}\mathrm{i}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^2\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+B\,a^2\,1{}\mathrm{i}\right)}{d}-\frac{B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*a^2*2i + 2*B*a^2))/d + (tan(c + d*x)*(a^2*(A*1i + B)*1i + B*a^2*1i))/d - (B*a^2*tan(c + d*x)^2)/(2*d)","B"
12,1,70,75,6.195070,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{A\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{2\,A\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{B\,a^2\,\mathrm{tan}\left(c+d\,x\right)}{d}+\frac{B\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(A*a^2*log(tan(c + d*x)))/d - (2*A*a^2*log(tan(c + d*x) + 1i))/d + (B*a^2*log(tan(c + d*x) + 1i)*2i)/d - (B*a^2*tan(c + d*x))/d","B"
13,1,87,79,6.319226,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{B\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{2\,B\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{d}-\frac{A\,a^2\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{A\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,2{}\mathrm{i}}{d}-\frac{A\,a^2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(A*a^2*log(tan(c + d*x))*2i)/d + (B*a^2*log(tan(c + d*x)))/d - (A*a^2*log(tan(c + d*x) + 1i)*2i)/d - (2*B*a^2*log(tan(c + d*x) + 1i))/d - (A*a^2*cot(c + d*x))/d","B"
14,1,67,94,6.198833,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{\frac{A\,a^2}{2}+\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^2+A\,a^2\,2{}\mathrm{i}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\frac{4\,a^2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}","Not used",1,"- ((A*a^2)/2 + tan(c + d*x)*(A*a^2*2i + B*a^2))/(d*tan(c + d*x)^2) - (4*a^2*atan(2*tan(c + d*x) + 1i)*(A*1i + B))/d","B"
15,1,93,117,6.279698,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{\frac{A\,a^2}{3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,A\,a^2-B\,a^2\,2{}\mathrm{i}\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^2}{2}+A\,a^2\,1{}\mathrm{i}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^3}-\frac{a^2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{d}","Not used",1,"- ((A*a^2)/3 - tan(c + d*x)^2*(2*A*a^2 - B*a^2*2i) + tan(c + d*x)*(A*a^2*1i + (B*a^2)/2))/(d*tan(c + d*x)^3) - (a^2*atan(2*tan(c + d*x) + 1i)*(A*1i + B)*4i)/d","B"
16,1,113,139,6.440549,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(A\,a^2-B\,a^2\,1{}\mathrm{i}\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(2\,B\,a^2+A\,a^2\,2{}\mathrm{i}\right)-\frac{A\,a^2}{4}-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^2}{3}+\frac{A\,a^2\,2{}\mathrm{i}}{3}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}+\frac{4\,a^2\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}","Not used",1,"(tan(c + d*x)^2*(A*a^2 - B*a^2*1i) + tan(c + d*x)^3*(A*a^2*2i + 2*B*a^2) - (A*a^2)/4 - tan(c + d*x)*((A*a^2*2i)/3 + (B*a^2)/3))/(d*tan(c + d*x)^4) + (4*a^2*atan(2*tan(c + d*x) + 1i)*(A*1i + B))/d","B"
17,1,230,182,6.149639,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B\,a^3\,1{}\mathrm{i}}{3}-\frac{a^3\,\left(2\,A-B\,1{}\mathrm{i}\right)}{3}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a^3-B\,a^3\,1{}\mathrm{i}+a^3\,\left(2\,A-B\,1{}\mathrm{i}\right)-a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{B\,a^3}{4}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)}{4}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(4\,B\,a^3+A\,a^3\,4{}\mathrm{i}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A\,a^3\,1{}\mathrm{i}}{2}+\frac{B\,a^3}{2}+\frac{a^3\,\left(2\,A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)}{2}\right)}{d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}}{5\,d}","Not used",1,"(tan(c + d*x)^3*((B*a^3*1i)/3 - (a^3*(2*A - B*1i))/3 + (a^3*(A*1i + 2*B)*1i)/3))/d + (tan(c + d*x)*(A*a^3 - B*a^3*1i + a^3*(2*A - B*1i) - a^3*(A*1i + 2*B)*1i))/d - (tan(c + d*x)^4*((B*a^3)/4 + (a^3*(A*1i + 2*B))/4))/d - (log(tan(c + d*x) + 1i)*(A*a^3*4i + 4*B*a^3))/d + (tan(c + d*x)^2*((A*a^3*1i)/2 + (B*a^3)/2 + (a^3*(2*A - B*1i)*1i)/2 + (a^3*(A*1i + 2*B))/2))/d - (B*a^3*tan(c + d*x)^5*1i)/(5*d)","B"
18,1,176,138,6.043833,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,a^3\,1{}\mathrm{i}}{2}-\frac{a^3\,\left(2\,A-B\,1{}\mathrm{i}\right)}{2}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a^3\,1{}\mathrm{i}+B\,a^3+a^3\,\left(2\,A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B\,a^3}{3}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)}{3}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(4\,A\,a^3-B\,a^3\,4{}\mathrm{i}\right)}{d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{4\,d}","Not used",1,"(tan(c + d*x)^2*((B*a^3*1i)/2 - (a^3*(2*A - B*1i))/2 + (a^3*(A*1i + 2*B)*1i)/2))/d + (tan(c + d*x)*(A*a^3*1i + B*a^3 + a^3*(2*A - B*1i)*1i + a^3*(A*1i + 2*B)))/d - (tan(c + d*x)^3*((B*a^3)/3 + (a^3*(A*1i + 2*B))/3))/d + (log(tan(c + d*x) + 1i)*(4*A*a^3 - B*a^3*4i))/d - (B*a^3*tan(c + d*x)^4*1i)/(4*d)","B"
19,1,125,110,6.125789,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,a^3}{2}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)}{2}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(4\,B\,a^3+A\,a^3\,4{}\mathrm{i}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^3\,1{}\mathrm{i}-a^3\,\left(2\,A-B\,1{}\mathrm{i}\right)+a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{3\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*a^3*4i + 4*B*a^3))/d - (tan(c + d*x)^2*((B*a^3)/2 + (a^3*(A*1i + 2*B))/2))/d + (tan(c + d*x)*(B*a^3*1i - a^3*(2*A - B*1i) + a^3*(A*1i + 2*B)*1i))/d - (B*a^3*tan(c + d*x)^3*1i)/(3*d)","B"
20,1,87,107,6.154546,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\frac{A\,a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^3+a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\right)}{d}-\frac{4\,a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,d}","Not used",1,"(A*a^3*log(tan(c + d*x)))/d - (tan(c + d*x)*(B*a^3 + a^3*(A*1i + 2*B)))/d - (4*a^3*log(tan(c + d*x) + 1i)*(A - B*1i))/d - (B*a^3*tan(c + d*x)^2*1i)/(2*d)","B"
21,1,76,116,6.431404,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\frac{a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B+A\,3{}\mathrm{i}\right)}{d}-\frac{4\,a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}-\frac{A\,a^3\,\mathrm{cot}\left(c+d\,x\right)}{d}-\frac{B\,a^3\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{d}","Not used",1,"(a^3*log(tan(c + d*x))*(A*3i + B))/d - (4*a^3*log(tan(c + d*x) + 1i)*(A*1i + B))/d - (A*a^3*cot(c + d*x))/d - (B*a^3*tan(c + d*x)*1i)/d","B"
22,1,88,123,6.443166,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\frac{A\,a^3}{2}+\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^3+A\,a^3\,3{}\mathrm{i}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^2}-\frac{a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(4\,A-B\,3{}\mathrm{i}\right)}{d}+\frac{4\,a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{d}","Not used",1,"(4*a^3*log(tan(c + d*x) + 1i)*(A - B*1i))/d - (a^3*log(tan(c + d*x))*(4*A - B*3i))/d - ((A*a^3)/2 + tan(c + d*x)*(A*a^3*3i + B*a^3))/(d*tan(c + d*x)^2)","B"
23,1,93,134,6.316908,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\frac{A\,a^3}{3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(4\,A\,a^3-B\,a^3\,3{}\mathrm{i}\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^3}{2}+\frac{A\,a^3\,3{}\mathrm{i}}{2}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^3}-\frac{a^3\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{d}","Not used",1,"- ((A*a^3)/3 - tan(c + d*x)^2*(4*A*a^3 - B*a^3*3i) + tan(c + d*x)*((A*a^3*3i)/2 + (B*a^3)/2))/(d*tan(c + d*x)^3) - (a^3*atan(2*tan(c + d*x) + 1i)*(A*1i + B)*8i)/d","B"
24,1,114,157,6.570781,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,A\,a^3-\frac{B\,a^3\,3{}\mathrm{i}}{2}\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(4\,B\,a^3+A\,a^3\,4{}\mathrm{i}\right)-\frac{A\,a^3}{4}-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^3}{3}+A\,a^3\,1{}\mathrm{i}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}+\frac{8\,a^3\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}","Not used",1,"(tan(c + d*x)^2*(2*A*a^3 - (B*a^3*3i)/2) + tan(c + d*x)^3*(A*a^3*4i + 4*B*a^3) - (A*a^3)/4 - tan(c + d*x)*(A*a^3*1i + (B*a^3)/3))/(d*tan(c + d*x)^4) + (8*a^3*atan(2*tan(c + d*x) + 1i)*(A*1i + B))/d","B"
25,1,140,180,6.939894,"\text{Not used}","int(cot(c + d*x)^6*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\frac{A\,a^3}{5}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{4\,A\,a^3}{3}-B\,a^3\,1{}\mathrm{i}\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(4\,A\,a^3-B\,a^3\,4{}\mathrm{i}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(2\,B\,a^3+A\,a^3\,2{}\mathrm{i}\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^3}{4}+\frac{A\,a^3\,3{}\mathrm{i}}{4}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^5}+\frac{a^3\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{d}","Not used",1,"(a^3*atan(2*tan(c + d*x) + 1i)*(A*1i + B)*8i)/d - (tan(c + d*x)^4*(4*A*a^3 - B*a^3*4i) - tan(c + d*x)^2*((4*A*a^3)/3 - B*a^3*1i) - tan(c + d*x)^3*(A*a^3*2i + 2*B*a^3) + (A*a^3)/5 + tan(c + d*x)*((A*a^3*3i)/4 + (B*a^3)/4))/(d*tan(c + d*x)^5)","B"
26,1,308,225,6.212025,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-a^4\,\left(A-B\,1{}\mathrm{i}\right)+\frac{a^4\,\left(B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\frac{B\,a^4\,1{}\mathrm{i}}{3}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-A\,a^4-3\,a^4\,\left(A-B\,1{}\mathrm{i}\right)+a^4\,\left(B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}+B\,a^4\,1{}\mathrm{i}+a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(\frac{B\,a^4\,1{}\mathrm{i}}{5}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{5}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(8\,B\,a^4+A\,a^4\,8{}\mathrm{i}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A\,a^4\,1{}\mathrm{i}}{2}+\frac{a^4\,\left(A-B\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}+\frac{a^4\,\left(B+A\,3{}\mathrm{i}\right)}{2}+\frac{B\,a^4}{2}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{a^4\,\left(A-B\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{4}+\frac{B\,a^4}{4}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)}{4}\right)}{d}+\frac{B\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^6}{6\,d}","Not used",1,"(tan(c + d*x)^3*((a^4*(A*3i + B)*1i)/3 - a^4*(A - B*1i) + (B*a^4*1i)/3 + (a^4*(A*1i + 3*B)*1i)/3))/d - (tan(c + d*x)*(a^4*(A*3i + B)*1i - 3*a^4*(A - B*1i) - A*a^4 + B*a^4*1i + a^4*(A*1i + 3*B)*1i))/d - (tan(c + d*x)^5*((B*a^4*1i)/5 + (a^4*(A*1i + 3*B)*1i)/5))/d - (log(tan(c + d*x) + 1i)*(A*a^4*8i + 8*B*a^4))/d + (tan(c + d*x)^2*((A*a^4*1i)/2 + (a^4*(A - B*1i)*3i)/2 + (a^4*(A*3i + B))/2 + (B*a^4)/2 + (a^4*(A*1i + 3*B))/2))/d - (tan(c + d*x)^4*((a^4*(A - B*1i)*3i)/4 + (B*a^4)/4 + (a^4*(A*1i + 3*B))/4))/d + (B*a^4*tan(c + d*x)^6)/(6*d)","B"
27,1,240,168,6.204867,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{3\,a^4\,\left(A-B\,1{}\mathrm{i}\right)}{2}+\frac{a^4\,\left(B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{B\,a^4\,1{}\mathrm{i}}{2}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a^4\,1{}\mathrm{i}+a^4\,\left(A-B\,1{}\mathrm{i}\right)\,3{}\mathrm{i}+a^4\,\left(B+A\,3{}\mathrm{i}\right)+B\,a^4+a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{B\,a^4\,1{}\mathrm{i}}{4}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(8\,A\,a^4-B\,a^4\,8{}\mathrm{i}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(a^4\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+\frac{B\,a^4}{3}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)}{3}\right)}{d}+\frac{B\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,d}","Not used",1,"(tan(c + d*x)^2*((a^4*(A*3i + B)*1i)/2 - (3*a^4*(A - B*1i))/2 + (B*a^4*1i)/2 + (a^4*(A*1i + 3*B)*1i)/2))/d + (tan(c + d*x)*(A*a^4*1i + a^4*(A - B*1i)*3i + a^4*(A*3i + B) + B*a^4 + a^4*(A*1i + 3*B)))/d - (tan(c + d*x)^4*((B*a^4*1i)/4 + (a^4*(A*1i + 3*B)*1i)/4))/d + (log(tan(c + d*x) + 1i)*(8*A*a^4 - B*a^4*8i))/d - (tan(c + d*x)^3*(a^4*(A - B*1i)*1i + (B*a^4)/3 + (a^4*(A*1i + 3*B))/3))/d + (B*a^4*tan(c + d*x)^5)/(5*d)","B"
28,1,181,140,6.117476,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\frac{B\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(8\,B\,a^4+A\,a^4\,8{}\mathrm{i}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^4\,\left(A-B\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{2}+\frac{B\,a^4}{2}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)}{2}\right)}{d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-3\,a^4\,\left(A-B\,1{}\mathrm{i}\right)+a^4\,\left(B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}+B\,a^4\,1{}\mathrm{i}+a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B\,a^4\,1{}\mathrm{i}}{3}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}\right)}{d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*a^4*8i + 8*B*a^4))/d - (tan(c + d*x)^3*((B*a^4*1i)/3 + (a^4*(A*1i + 3*B)*1i)/3))/d - (tan(c + d*x)^2*((a^4*(A - B*1i)*3i)/2 + (B*a^4)/2 + (a^4*(A*1i + 3*B))/2))/d + (tan(c + d*x)*(a^4*(A*3i + B)*1i - 3*a^4*(A - B*1i) + B*a^4*1i + a^4*(A*1i + 3*B)*1i))/d + (B*a^4*tan(c + d*x)^4)/(4*d)","B"
29,1,133,142,6.218759,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\frac{A\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(a^4\,\left(A-B\,1{}\mathrm{i}\right)\,3{}\mathrm{i}+B\,a^4+a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,a^4\,1{}\mathrm{i}}{2}+\frac{a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}\right)}{d}-\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{d}+\frac{B\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(A*a^4*log(tan(c + d*x)))/d - (tan(c + d*x)*(a^4*(A - B*1i)*3i + B*a^4 + a^4*(A*1i + 3*B)))/d - (tan(c + d*x)^2*((B*a^4*1i)/2 + (a^4*(A*1i + 3*B)*1i)/2))/d - (8*a^4*log(tan(c + d*x) + 1i)*(A - B*1i))/d + (B*a^4*tan(c + d*x)^3)/(3*d)","B"
30,1,110,144,6.562345,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\frac{B\,a^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}+\frac{a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B+A\,4{}\mathrm{i}\right)}{d}-\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}-\frac{A\,a^4\,\mathrm{cot}\left(c+d\,x\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^4\,1{}\mathrm{i}+a^4\,\left(3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{d}","Not used",1,"(a^4*log(tan(c + d*x))*(A*4i + B))/d - (tan(c + d*x)*(B*a^4*1i + a^4*(A*1i + 3*B)*1i))/d - (8*a^4*log(tan(c + d*x) + 1i)*(A*1i + B))/d - (A*a^4*cot(c + d*x))/d + (B*a^4*tan(c + d*x)^2)/(2*d)","B"
31,1,102,156,6.790890,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\frac{B\,a^4\,\mathrm{tan}\left(c+d\,x\right)}{d}-\frac{a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(7\,A-B\,4{}\mathrm{i}\right)}{d}+\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{A\,a^4}{2}+\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^4+A\,a^4\,4{}\mathrm{i}\right)\right)}{d}","Not used",1,"(8*a^4*log(tan(c + d*x) + 1i)*(A - B*1i))/d - (a^4*log(tan(c + d*x))*(7*A - B*4i))/d - (cot(c + d*x)^2*((A*a^4)/2 + tan(c + d*x)*(A*a^4*4i + B*a^4)))/d + (B*a^4*tan(c + d*x))/d","B"
32,1,113,163,6.714717,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{\frac{A\,a^4}{3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(7\,A\,a^4-B\,a^4\,4{}\mathrm{i}\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{2}+A\,a^4\,2{}\mathrm{i}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^3}-\frac{a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(7\,B+A\,8{}\mathrm{i}\right)}{d}+\frac{8\,a^4\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}","Not used",1,"(8*a^4*log(tan(c + d*x) + 1i)*(A*1i + B))/d - (a^4*log(tan(c + d*x))*(A*8i + 7*B))/d - ((A*a^4)/3 - tan(c + d*x)^2*(7*A*a^4 - B*a^4*4i) + tan(c + d*x)*(A*a^4*2i + (B*a^4)/2))/(d*tan(c + d*x)^3)","B"
33,1,114,177,6.567781,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{7\,A\,a^4}{2}-B\,a^4\,2{}\mathrm{i}\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(7\,B\,a^4+A\,a^4\,8{}\mathrm{i}\right)-\frac{A\,a^4}{4}-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{3}+\frac{A\,a^4\,4{}\mathrm{i}}{3}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^4}+\frac{16\,a^4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}","Not used",1,"(tan(c + d*x)^2*((7*A*a^4)/2 - B*a^4*2i) + tan(c + d*x)^3*(A*a^4*8i + 7*B*a^4) - (A*a^4)/4 - tan(c + d*x)*((A*a^4*4i)/3 + (B*a^4)/3))/(d*tan(c + d*x)^4) + (16*a^4*atan(2*tan(c + d*x) + 1i)*(A*1i + B))/d","B"
34,1,140,200,6.849544,"\text{Not used}","int(cot(c + d*x)^6*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{\frac{A\,a^4}{5}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{7\,A\,a^4}{3}-\frac{B\,a^4\,4{}\mathrm{i}}{3}\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(8\,A\,a^4-B\,a^4\,8{}\mathrm{i}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{7\,B\,a^4}{2}+A\,a^4\,4{}\mathrm{i}\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{4}+A\,a^4\,1{}\mathrm{i}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^5}+\frac{a^4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,16{}\mathrm{i}}{d}","Not used",1,"(a^4*atan(2*tan(c + d*x) + 1i)*(A*1i + B)*16i)/d - (tan(c + d*x)^4*(8*A*a^4 - B*a^4*8i) - tan(c + d*x)^2*((7*A*a^4)/3 - (B*a^4*4i)/3) - tan(c + d*x)^3*(A*a^4*4i + (7*B*a^4)/2) + (A*a^4)/5 + tan(c + d*x)*(A*a^4*1i + (B*a^4)/4))/(d*tan(c + d*x)^5)","B"
35,1,162,223,7.586362,"\text{Not used}","int(cot(c + d*x)^7*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(4\,A\,a^4-B\,a^4\,4{}\mathrm{i}\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{7\,A\,a^4}{4}-B\,a^4\,1{}\mathrm{i}\right)+{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(8\,B\,a^4+A\,a^4\,8{}\mathrm{i}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{7\,B\,a^4}{3}+\frac{A\,a^4\,8{}\mathrm{i}}{3}\right)+\frac{A\,a^4}{6}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{5}+\frac{A\,a^4\,4{}\mathrm{i}}{5}\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^6}-\frac{16\,a^4\,\mathrm{atan}\left(2\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{d}","Not used",1,"- (tan(c + d*x)^4*(4*A*a^4 - B*a^4*4i) - tan(c + d*x)^2*((7*A*a^4)/4 - B*a^4*1i) + tan(c + d*x)^5*(A*a^4*8i + 8*B*a^4) - tan(c + d*x)^3*((A*a^4*8i)/3 + (7*B*a^4)/3) + (A*a^4)/6 + tan(c + d*x)*((A*a^4*4i)/5 + (B*a^4)/5))/(d*tan(c + d*x)^6) - (16*a^4*atan(2*tan(c + d*x) + 1i)*(A*1i + B))/d","B"
36,1,141,129,6.377414,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\frac{\frac{A}{2\,a}-\frac{A+B\,1{}\mathrm{i}}{2\,a}+\frac{A+B\,2{}\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)\,\left(-\frac{B}{a}+\frac{A\,1{}\mathrm{i}}{a}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(5\,A+B\,7{}\mathrm{i}\right)}{4\,a\,d}-\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a\,d}","Not used",1,"(A/(2*a) - (A + B*1i)/(2*a) + (A + B*2i)/(2*a))/(d*(tan(c + d*x)*1i + 1)) - (tan(c + d*x)*((A*1i)/a - B/a))/d + (log(tan(c + d*x) + 1i)*(A*1i + B)*1i)/(4*a*d) + (log(tan(c + d*x) - 1i)*(5*A + B*7i))/(4*a*d) - (B*tan(c + d*x)^2*1i)/(2*a*d)","B"
37,1,95,101,6.296992,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{4\,a\,d}-\frac{B\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{a\,d}-\frac{\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-5\,B+A\,3{}\mathrm{i}\right)}{4\,a\,d}","Not used",1,"- (log(tan(c + d*x) + 1i)*(A*1i + B))/(4*a*d) - (B*tan(c + d*x)*1i)/(a*d) - ((A + B*1i)*1i)/(2*a*d*(tan(c + d*x)*1i + 1)) - (log(tan(c + d*x) - 1i)*(A*3i - 5*B))/(4*a*d)","B"
38,1,81,67,6.235184,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","-\frac{\frac{A}{2\,a}+\frac{B\,1{}\mathrm{i}}{2\,a}}{d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{4\,a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,3{}\mathrm{i}\right)}{4\,a\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i))/(4*a*d) - (A/(2*a) + (B*1i)/(2*a))/(d*(tan(c + d*x)*1i + 1)) - (log(tan(c + d*x) - 1i)*(A + B*3i))/(4*a*d)","B"
39,1,45,47,6.167267,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i),x)","\frac{-\frac{B}{2\,a}+\frac{A\,1{}\mathrm{i}}{2\,a}}{d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}","Not used",1,"((A*1i)/(2*a) - B/(2*a))/(d*(tan(c + d*x)*1i + 1)) - (x*(A*1i + B)*1i)/(2*a)","B"
40,1,98,62,6.262425,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\frac{\frac{A}{2\,a}+\frac{B\,1{}\mathrm{i}}{2\,a}}{d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}+\frac{A\,\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)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(3\,A+B\,1{}\mathrm{i}\right)}{4\,a\,d}","Not used",1,"(A/(2*a) + (B*1i)/(2*a))/(d*(tan(c + d*x)*1i + 1)) + (A*log(tan(c + d*x)))/(a*d) + (log(tan(c + d*x) + 1i)*(A*1i + B)*1i)/(4*a*d) - (log(tan(c + d*x) - 1i)*(3*A + B*1i))/(4*a*d)","B"
41,1,126,102,6.463685,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","-\frac{\frac{A}{a}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{B}{2\,a}+\frac{A\,3{}\mathrm{i}}{2\,a}\right)}{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)\,\left(-B+A\,1{}\mathrm{i}\right)}{a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{4\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-3\,B+A\,5{}\mathrm{i}\right)}{4\,a\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*5i - 3*B))/(4*a*d) - (log(tan(c + d*x))*(A*1i - B))/(a*d) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(4*a*d) - (A/a + tan(c + d*x)*((A*3i)/(2*a) - B/(2*a)))/(d*(tan(c + d*x) + tan(c + d*x)^2*1i))","B"
42,1,153,131,6.509937,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{3\,A}{2\,a}+\frac{B\,3{}\mathrm{i}}{2\,a}\right)+\frac{A}{2\,a}-\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{B}{a}+\frac{A\,1{}\mathrm{i}}{2\,a}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(2\,A+B\,1{}\mathrm{i}\right)}{a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{4\,a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(7\,A+B\,5{}\mathrm{i}\right)}{4\,a\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i))/(4*a*d) - (log(tan(c + d*x))*(2*A + B*1i))/(a*d) - (tan(c + d*x)^2*((3*A)/(2*a) + (B*3i)/(2*a)) + A/(2*a) - tan(c + d*x)*((A*1i)/(2*a) - B/a))/(d*(tan(c + d*x)^2 + tan(c + d*x)^3*1i)) + (log(tan(c + d*x) - 1i)*(7*A + B*5i))/(4*a*d)","B"
43,1,174,155,6.554243,"\text{Not used}","int((cot(c + d*x)^4*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{3\,A}{2\,a}+\frac{B\,1{}\mathrm{i}}{2\,a}\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-\frac{3\,B}{2\,a}+\frac{A\,5{}\mathrm{i}}{2\,a}\right)-\frac{A}{3\,a}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{B}{2\,a}+\frac{A\,1{}\mathrm{i}}{6\,a}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^3\right)}+\frac{2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-B+A\,1{}\mathrm{i}\right)}{a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{4\,a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-7\,B+A\,9{}\mathrm{i}\right)}{4\,a\,d}","Not used",1,"(tan(c + d*x)^2*((3*A)/(2*a) + (B*1i)/(2*a)) + tan(c + d*x)^3*((A*5i)/(2*a) - (3*B)/(2*a)) - A/(3*a) + tan(c + d*x)*((A*1i)/(6*a) - B/(2*a)))/(d*(tan(c + d*x)^3 + tan(c + d*x)^4*1i)) + (2*log(tan(c + d*x))*(A*1i - B))/(a*d) + (log(tan(c + d*x) + 1i)*(A*1i + B))/(4*a*d) - (log(tan(c + d*x) - 1i)*(A*9i - 7*B))/(4*a*d)","B"
44,1,141,142,6.414428,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{\left(A+B\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{a^2}+\frac{B}{2\,a^2}-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{5\,\left(A+B\,2{}\mathrm{i}\right)}{4\,a^2}-\frac{B\,3{}\mathrm{i}}{4\,a^2}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^2\,d}-\frac{B\,\mathrm{tan}\left(c+d\,x\right)}{a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(7\,A+B\,17{}\mathrm{i}\right)}{8\,a^2\,d}","Not used",1,"(((A + B*2i)*1i)/a^2 + B/(2*a^2) - tan(c + d*x)*((5*(A + B*2i))/(4*a^2) - (B*3i)/(4*a^2)))/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i)) + (log(tan(c + d*x) + 1i)*(A*1i + B)*1i)/(8*a^2*d) - (B*tan(c + d*x))/(a^2*d) - (log(tan(c + d*x) - 1i)*(7*A + B*17i))/(8*a^2*d)","B"
45,1,114,103,6.294451,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{A}{2\,a^2}+\frac{B\,1{}\mathrm{i}}{a^2}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{5\,B}{4\,a^2}+\frac{A\,3{}\mathrm{i}}{4\,a^2}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{8\,a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-7\,B+A\,1{}\mathrm{i}\right)}{8\,a^2\,d}","Not used",1,"(A/(2*a^2) + (B*1i)/a^2 + tan(c + d*x)*((A*3i)/(4*a^2) - (5*B)/(4*a^2)))/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i)) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(8*a^2*d) + (log(tan(c + d*x) - 1i)*(A*1i - 7*B))/(8*a^2*d)","B"
46,1,106,76,6.169626,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{B}{2\,a^2}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{A}{4\,a^2}+\frac{B\,3{}\mathrm{i}}{4\,a^2}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{8\,a^2\,d}","Not used",1,"(B/(2*a^2) + tan(c + d*x)*(A/(4*a^2) + (B*3i)/(4*a^2)))/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i)) + (log(tan(c + d*x) - 1i)*(A*1i + B)*1i)/(8*a^2*d) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(8*a^2*d)","B"
47,1,70,80,6.165985,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{A}{2\,a^2}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B}{4\,a^2}+\frac{A\,1{}\mathrm{i}}{4\,a^2}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}-\frac{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^2}","Not used",1,"(A/(2*a^2) + tan(c + d*x)*((A*1i)/(4*a^2) + B/(4*a^2)))/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i)) - (x*(A*1i + B)*1i)/(4*a^2)","B"
48,1,129,95,6.306659,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{B}{2\,a^2}-\frac{A\,1{}\mathrm{i}}{a^2}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{3\,A}{4\,a^2}+\frac{B\,1{}\mathrm{i}}{4\,a^2}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}+\frac{A\,\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)\,\left(A-B\,1{}\mathrm{i}\right)}{8\,a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(7\,A+B\,1{}\mathrm{i}\right)}{8\,a^2\,d}","Not used",1,"(B/(2*a^2) - (A*1i)/a^2 + tan(c + d*x)*((3*A)/(4*a^2) + (B*1i)/(4*a^2)))/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i)) + (A*log(tan(c + d*x)))/(a^2*d) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(8*a^2*d) - (log(tan(c + d*x) - 1i)*(7*A + B*1i))/(8*a^2*d)","B"
49,1,164,141,6.533728,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{3\,B}{4\,a^2}+\frac{A\,9{}\mathrm{i}}{4\,a^2}\right)-\frac{A\,1{}\mathrm{i}}{a^2}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{7\,A}{2\,a^2}+\frac{B\,1{}\mathrm{i}}{a^2}\right)}{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)\right)\,\left(-B+A\,2{}\mathrm{i}\right)}{a^2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{8\,a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-7\,B+A\,17{}\mathrm{i}\right)}{8\,a^2\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*17i - 7*B))/(8*a^2*d) - (log(tan(c + d*x))*(A*2i - B))/(a^2*d) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(8*a^2*d) - (tan(c + d*x)^2*((A*9i)/(4*a^2) - (3*B)/(4*a^2)) - (A*1i)/a^2 + tan(c + d*x)*((7*A)/(2*a^2) + (B*1i)/a^2))/(d*(2*tan(c + d*x)^2 - tan(c + d*x)*1i + tan(c + d*x)^3*1i))","B"
50,1,188,170,6.619280,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{7\,B}{2\,a^2}+\frac{A\,11{}\mathrm{i}}{2\,a^2}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{15\,A}{4\,a^2}+\frac{B\,9{}\mathrm{i}}{4\,a^2}\right)+\frac{A\,1{}\mathrm{i}}{2\,a^2}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{A}{a^2}+\frac{B\,1{}\mathrm{i}}{a^2}\right)}{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{2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(2\,A+B\,1{}\mathrm{i}\right)}{a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{8\,a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(31\,A+B\,17{}\mathrm{i}\right)}{8\,a^2\,d}","Not used",1,"(tan(c + d*x)^2*((A*11i)/(2*a^2) - (7*B)/(2*a^2)) - tan(c + d*x)^3*((15*A)/(4*a^2) + (B*9i)/(4*a^2)) + (A*1i)/(2*a^2) + tan(c + d*x)*(A/a^2 + (B*1i)/a^2))/(d*(2*tan(c + d*x)^3 - tan(c + d*x)^2*1i + tan(c + d*x)^4*1i)) - (2*log(tan(c + d*x))*(2*A + B*1i))/(a^2*d) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(8*a^2*d) + (log(tan(c + d*x) - 1i)*(31*A + B*17i))/(8*a^2*d)","B"
51,1,184,191,6.756904,"\text{Not used}","int((tan(c + d*x)^4*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,7{}\mathrm{i}}{2\,a^3}+\frac{\left(-3\,B+A\,1{}\mathrm{i}\right)\,27{}\mathrm{i}}{8\,a^3}\right)+\frac{4\,B}{3\,a^3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{5\,B}{2\,a^3}+\frac{17\,\left(-3\,B+A\,1{}\mathrm{i}\right)}{8\,a^3}\right)+\frac{17\,\left(-3\,B+A\,1{}\mathrm{i}\right)}{12\,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)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{16\,a^3\,d}+\frac{B\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-49\,B+A\,15{}\mathrm{i}\right)}{16\,a^3\,d}","Not used",1,"(tan(c + d*x)*((B*7i)/(2*a^3) + ((A*1i - 3*B)*27i)/(8*a^3)) + (4*B)/(3*a^3) - tan(c + d*x)^2*((5*B)/(2*a^3) + (17*(A*1i - 3*B))/(8*a^3)) + (17*(A*1i - 3*B))/(12*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)*(A*1i + B))/(16*a^3*d) + (B*tan(c + d*x)*1i)/(a^3*d) + (log(tan(c + d*x) - 1i)*(A*15i - 49*B))/(16*a^3*d)","B"
52,1,146,148,6.638055,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{5\,A}{12\,a^3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{7\,A}{8\,a^3}+\frac{B\,17{}\mathrm{i}}{8\,a^3}\right)+\frac{B\,17{}\mathrm{i}}{12\,a^3}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{27\,B}{8\,a^3}+\frac{A\,9{}\mathrm{i}}{8\,a^3}\right)}{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)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{16\,a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,15{}\mathrm{i}\right)}{16\,a^3\,d}","Not used",1,"((5*A)/(12*a^3) - tan(c + d*x)^2*((7*A)/(8*a^3) + (B*17i)/(8*a^3)) + (B*17i)/(12*a^3) + tan(c + d*x)*((A*9i)/(8*a^3) - (27*B)/(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)*(A - B*1i))/(16*a^3*d) + (log(tan(c + d*x) - 1i)*(A + B*15i))/(16*a^3*d)","B"
53,1,111,124,6.521970,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{7\,B}{8\,a^3}+\frac{A\,1{}\mathrm{i}}{8\,a^3}\right)+\frac{A\,1{}\mathrm{i}}{12\,a^3}+\frac{5\,B}{12\,a^3}-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{A}{8\,a^3}-\frac{B\,9{}\mathrm{i}}{8\,a^3}\right)}{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{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^3}","Not used",1,"(tan(c + d*x)^2*((A*1i)/(8*a^3) - (7*B)/(8*a^3)) + (A*1i)/(12*a^3) + (5*B)/(12*a^3) - tan(c + d*x)*(A/(8*a^3) - (B*9i)/(8*a^3)))/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) + (x*(A*1i + B)*1i)/(8*a^3)","B"
54,1,147,110,6.500093,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{A}{12\,a^3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A}{8\,a^3}-\frac{B\,1{}\mathrm{i}}{8\,a^3}\right)+\frac{B\,1{}\mathrm{i}}{12\,a^3}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{B}{8\,a^3}+\frac{A\,3{}\mathrm{i}}{8\,a^3}\right)}{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)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{16\,a^3\,d}","Not used",1,"(A/(12*a^3) - tan(c + d*x)^2*(A/(8*a^3) - (B*1i)/(8*a^3)) + (B*1i)/(12*a^3) + tan(c + d*x)*((A*3i)/(8*a^3) - B/(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)*(A*1i + B)*1i)/(16*a^3*d) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(16*a^3*d)","B"
55,1,111,112,6.464074,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B}{8\,a^3}+\frac{A\,1{}\mathrm{i}}{8\,a^3}\right)-\frac{A\,5{}\mathrm{i}}{12\,a^3}-\frac{B}{12\,a^3}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{3\,A}{8\,a^3}-\frac{B\,3{}\mathrm{i}}{8\,a^3}\right)}{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{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^3}","Not used",1,"- (tan(c + d*x)^2*((A*1i)/(8*a^3) + B/(8*a^3)) - (A*5i)/(12*a^3) - B/(12*a^3) + tan(c + d*x)*((3*A)/(8*a^3) - (B*3i)/(8*a^3)))/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) - (x*(A*1i + B)*1i)/(8*a^3)","B"
56,1,164,131,6.578982,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{17\,A}{12\,a^3}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{7\,A}{8\,a^3}+\frac{B\,1{}\mathrm{i}}{8\,a^3}\right)+\frac{B\,5{}\mathrm{i}}{12\,a^3}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{3\,B}{8\,a^3}+\frac{A\,17{}\mathrm{i}}{8\,a^3}\right)}{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{A\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^3\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(15\,A+B\,1{}\mathrm{i}\right)}{16\,a^3\,d}","Not used",1,"((17*A)/(12*a^3) - tan(c + d*x)^2*((7*A)/(8*a^3) + (B*1i)/(8*a^3)) + (B*5i)/(12*a^3) + tan(c + d*x)*((A*17i)/(8*a^3) - (3*B)/(8*a^3)))/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) + (A*log(tan(c + d*x)))/(a^3*d) + (log(tan(c + d*x) + 1i)*(A*1i + B)*1i)/(16*a^3*d) - (log(tan(c + d*x) - 1i)*(15*A + B*1i))/(16*a^3*d)","B"
57,1,197,183,6.881598,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{25\,A}{8\,a^3}+\frac{B\,7{}\mathrm{i}}{8\,a^3}\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{17\,B}{8\,a^3}+\frac{A\,63{}\mathrm{i}}{8\,a^3}\right)+\frac{A\,1{}\mathrm{i}}{a^3}-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{71\,A}{12\,a^3}+\frac{B\,17{}\mathrm{i}}{12\,a^3}\right)}{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)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-B+A\,3{}\mathrm{i}\right)}{a^3\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{16\,a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-15\,B+A\,49{}\mathrm{i}\right)}{16\,a^3\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*49i - 15*B))/(16*a^3*d) - (log(tan(c + d*x))*(A*3i - B))/(a^3*d) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(16*a^3*d) - (tan(c + d*x)^3*((25*A)/(8*a^3) + (B*7i)/(8*a^3)) - tan(c + d*x)^2*((A*63i)/(8*a^3) - (17*B)/(8*a^3)) + (A*1i)/a^3 - tan(c + d*x)*((71*A)/(12*a^3) + (B*17i)/(12*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"
58,1,221,216,7.139813,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\frac{A}{2\,a^3}+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-\frac{63\,B}{8\,a^3}+\frac{A\,137{}\mathrm{i}}{8\,a^3}\right)+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{149\,A}{12\,a^3}+\frac{B\,71{}\mathrm{i}}{12\,a^3}\right)-{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{55\,A}{8\,a^3}+\frac{B\,25{}\mathrm{i}}{8\,a^3}\right)-\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{B}{a^3}+\frac{A\,3{}\mathrm{i}}{2\,a^3}\right)}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^4+{\mathrm{tan}\left(c+d\,x\right)}^3\,3{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(7\,A+B\,3{}\mathrm{i}\right)}{a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{16\,a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(111\,A+B\,49{}\mathrm{i}\right)}{16\,a^3\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i))/(16*a^3*d) - (log(tan(c + d*x))*(7*A + B*3i))/(a^3*d) - (tan(c + d*x)^3*((A*137i)/(8*a^3) - (63*B)/(8*a^3)) - tan(c + d*x)^4*((55*A)/(8*a^3) + (B*25i)/(8*a^3)) + tan(c + d*x)^2*((149*A)/(12*a^3) + (B*71i)/(12*a^3)) + A/(2*a^3) - tan(c + d*x)*((A*3i)/(2*a^3) - B/a^3))/(d*(tan(c + d*x)^2 + tan(c + d*x)^3*3i - 3*tan(c + d*x)^4 - tan(c + d*x)^5*1i)) + (log(tan(c + d*x) - 1i)*(111*A + B*49i))/(16*a^3*d)","B"
59,1,178,185,6.767165,"\text{Not used}","int((tan(c + d*x)^4*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{29\,B}{4\,a^4}+\frac{A\,7{}\mathrm{i}}{4\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{15\,A}{16\,a^4}+\frac{B\,49{}\mathrm{i}}{16\,a^4}\right)-\frac{A\,1{}\mathrm{i}}{3\,a^4}+\frac{7\,B}{4\,a^4}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{61\,A}{48\,a^4}+\frac{B\,97{}\mathrm{i}}{16\,a^4}\right)}{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)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{32\,a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,31{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4\,d}","Not used",1,"(tan(c + d*x)^2*((A*7i)/(4*a^4) - (29*B)/(4*a^4)) - tan(c + d*x)^3*((15*A)/(16*a^4) + (B*49i)/(16*a^4)) - (A*1i)/(3*a^4) + (7*B)/(4*a^4) + tan(c + d*x)*((61*A)/(48*a^4) + (B*97i)/(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)) + (log(tan(c + d*x) + 1i)*(A*1i + B))/(32*a^4*d) - (log(tan(c + d*x) - 1i)*(A + B*31i)*1i)/(32*a^4*d)","B"
60,1,178,159,6.619103,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\frac{A}{12\,a^4}+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-\frac{15\,B}{16\,a^4}+\frac{A\,1{}\mathrm{i}}{16\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A}{4\,a^4}-\frac{B\,7{}\mathrm{i}}{4\,a^4}\right)-\frac{B\,1{}\mathrm{i}}{3\,a^4}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{61\,B}{48\,a^4}+\frac{A\,13{}\mathrm{i}}{48\,a^4}\right)}{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)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{32\,a^4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4\,d}","Not used",1,"(tan(c + d*x)^3*((A*1i)/(16*a^4) - (15*B)/(16*a^4)) - tan(c + d*x)^2*(A/(4*a^4) - (B*7i)/(4*a^4)) + A/(12*a^4) - (B*1i)/(3*a^4) + tan(c + d*x)*((A*13i)/(48*a^4) + (61*B)/(48*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)) + (log(tan(c + d*x) - 1i)*(A - B*1i))/(32*a^4*d) + (log(tan(c + d*x) + 1i)*(A*1i + B)*1i)/(32*a^4*d)","B"
61,1,135,145,6.396401,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{B}{4\,a^4}+\frac{A\,1{}\mathrm{i}}{4\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{A}{16\,a^4}-\frac{B\,1{}\mathrm{i}}{16\,a^4}\right)+\frac{B}{12\,a^4}+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{A}{16\,a^4}+\frac{B\,13{}\mathrm{i}}{48\,a^4}\right)}{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)}+\frac{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^4}","Not used",1,"(tan(c + d*x)^2*((A*1i)/(4*a^4) - B/(4*a^4)) - tan(c + d*x)^3*(A/(16*a^4) - (B*1i)/(16*a^4)) + B/(12*a^4) + tan(c + d*x)*(A/(16*a^4) + (B*13i)/(48*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*(A*1i + B)*1i)/(16*a^4)","B"
62,1,172,143,6.508850,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A}{4\,a^4}-\frac{B\,1{}\mathrm{i}}{4\,a^4}\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B}{16\,a^4}+\frac{A\,1{}\mathrm{i}}{16\,a^4}\right)-\frac{A}{12\,a^4}-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B}{16\,a^4}+\frac{A\,19{}\mathrm{i}}{48\,a^4}\right)}{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)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{32\,a^4\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*1i + B)*1i)/(32*a^4*d) - (tan(c + d*x)^2*(A/(4*a^4) - (B*1i)/(4*a^4)) + tan(c + d*x)^3*((A*1i)/(16*a^4) + B/(16*a^4)) - A/(12*a^4) - tan(c + d*x)*((A*19i)/(48*a^4) + B/(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)) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(32*a^4*d)","B"
63,1,143,145,6.681318,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\frac{B}{12\,a^4}+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{A}{16\,a^4}-\frac{B\,1{}\mathrm{i}}{16\,a^4}\right)+\frac{A\,1{}\mathrm{i}}{3\,a^4}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B}{4\,a^4}+\frac{A\,1{}\mathrm{i}}{4\,a^4}\right)-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{19\,A}{48\,a^4}-\frac{B\,19{}\mathrm{i}}{48\,a^4}\right)}{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)}-\frac{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^4}","Not used",1,"(tan(c + d*x)^3*(A/(16*a^4) - (B*1i)/(16*a^4)) - tan(c + d*x)^2*((A*1i)/(4*a^4) + B/(4*a^4)) + (A*1i)/(3*a^4) + B/(12*a^4) - tan(c + d*x)*((19*A)/(48*a^4) - (B*19i)/(48*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*(A*1i + B)*1i)/(16*a^4)","B"
64,1,196,162,6.674484,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\frac{7\,A}{4\,a^4}-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-\frac{B}{16\,a^4}+\frac{A\,15{}\mathrm{i}}{16\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{13\,A}{4\,a^4}+\frac{B\,1{}\mathrm{i}}{4\,a^4}\right)+\frac{B\,1{}\mathrm{i}}{3\,a^4}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{19\,B}{48\,a^4}+\frac{A\,63{}\mathrm{i}}{16\,a^4}\right)}{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)}+\frac{A\,\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)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(31\,A+B\,1{}\mathrm{i}\right)}{32\,a^4\,d}","Not used",1,"((7*A)/(4*a^4) - tan(c + d*x)^3*((A*15i)/(16*a^4) - B/(16*a^4)) - tan(c + d*x)^2*((13*A)/(4*a^4) + (B*1i)/(4*a^4)) + (B*1i)/(3*a^4) + tan(c + d*x)*((A*63i)/(16*a^4) - (19*B)/(48*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)) + (A*log(tan(c + d*x)))/(a^4*d) + (log(tan(c + d*x) + 1i)*(A*1i + B)*1i)/(32*a^4*d) - (log(tan(c + d*x) - 1i)*(31*A + B*1i))/(32*a^4*d)","B"
65,1,226,220,7.050219,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","-\frac{\frac{A}{a^4}+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{65\,A}{16\,a^4}+\frac{B\,15{}\mathrm{i}}{16\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{851\,A}{48\,a^4}+\frac{B\,63{}\mathrm{i}}{16\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-\frac{13\,B}{4\,a^4}+\frac{A\,57{}\mathrm{i}}{4\,a^4}\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{7\,B}{4\,a^4}+\frac{A\,26{}\mathrm{i}}{3\,a^4}\right)}{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)\,\left(-B+A\,4{}\mathrm{i}\right)}{a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{32\,a^4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-31\,B+A\,129{}\mathrm{i}\right)}{32\,a^4\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*129i - 31*B))/(32*a^4*d) - (log(tan(c + d*x))*(A*4i - B))/(a^4*d) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(32*a^4*d) - (tan(c + d*x)^4*((65*A)/(16*a^4) + (B*15i)/(16*a^4)) - tan(c + d*x)^3*((A*57i)/(4*a^4) - (13*B)/(4*a^4)) - tan(c + d*x)^2*((851*A)/(48*a^4) + (B*63i)/(16*a^4)) + A/a^4 + tan(c + d*x)*((A*26i)/(3*a^4) - (7*B)/(4*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))","B"
66,1,251,255,7.635789,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{153\,A}{4\,a^4}+\frac{B\,57{}\mathrm{i}}{4\,a^4}\right)+{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(-\frac{65\,B}{16\,a^4}+\frac{A\,175{}\mathrm{i}}{16\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{271\,A}{12\,a^4}+\frac{B\,26{}\mathrm{i}}{3\,a^4}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-\frac{851\,B}{48\,a^4}+\frac{A\,2269{}\mathrm{i}}{48\,a^4}\right)-\frac{A}{2\,a^4}+\mathrm{tan}\left(c+d\,x\right)\,\left(-\frac{B}{a^4}+\frac{A\,2{}\mathrm{i}}{a^4}\right)}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^6-{\mathrm{tan}\left(c+d\,x\right)}^5\,4{}\mathrm{i}-6\,{\mathrm{tan}\left(c+d\,x\right)}^4+{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(11\,A+B\,4{}\mathrm{i}\right)}{a^4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{32\,a^4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(351\,A+B\,129{}\mathrm{i}\right)}{32\,a^4\,d}","Not used",1,"(tan(c + d*x)^4*((153*A)/(4*a^4) + (B*57i)/(4*a^4)) + tan(c + d*x)^5*((A*175i)/(16*a^4) - (65*B)/(16*a^4)) - tan(c + d*x)^2*((271*A)/(12*a^4) + (B*26i)/(3*a^4)) - tan(c + d*x)^3*((A*2269i)/(48*a^4) - (851*B)/(48*a^4)) - A/(2*a^4) + tan(c + d*x)*((A*2i)/a^4 - B/a^4))/(d*(tan(c + d*x)^2 + tan(c + d*x)^3*4i - 6*tan(c + d*x)^4 - tan(c + d*x)^5*4i + tan(c + d*x)^6)) - (log(tan(c + d*x))*(11*A + B*4i))/(a^4*d) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(32*a^4*d) + (log(tan(c + d*x) - 1i)*(351*A + B*129i))/(32*a^4*d)","B"
67,1,216,194,1.272419,"\text{Not used}","int(tan(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{2\,A\,\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\,a\,d}-\frac{2\,A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a^2\,d}+\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,4{}\mathrm{i}}{3\,a\,d}-\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,4{}\mathrm{i}}{5\,a^2\,d}+\frac{B\,{\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}\,B\,\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}-\frac{\sqrt{2}\,A\,\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 + a*tan(c + d*x)*1i)^(3/2))/(3*a*d) - (2*A*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2*A*(a + a*tan(c + d*x)*1i)^(5/2))/(5*a^2*d) + (B*(a + a*tan(c + d*x)*1i)^(3/2)*4i)/(3*a*d) - (B*(a + a*tan(c + d*x)*1i)^(5/2)*4i)/(5*a^2*d) + (B*(a + a*tan(c + d*x)*1i)^(7/2)*2i)/(7*a^3*d) - (2^(1/2)*B*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d - (2^(1/2)*A*a^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/d","B"
68,1,168,143,7.119434,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{2\,B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\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\,a\,d}+\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a\,d}-\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a^2\,d}+\frac{\sqrt{2}\,A\,\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}-\frac{\sqrt{2}\,B\,\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*B*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a*d) - (A*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*a*d) - (2*B*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2*B*(a + a*tan(c + d*x)*1i)^(5/2))/(5*a^2*d) + (2^(1/2)*A*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d - (2^(1/2)*B*a^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*1i)/d","B"
69,1,120,105,6.932998,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{2\,A\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{B\,{\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}\,B\,\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}-\frac{\sqrt{2}\,A\,\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 + a*tan(c + d*x)*1i)^(1/2))/d - (B*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*a*d) + (2^(1/2)*B*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d - (2^(1/2)*A*a^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/d","B"
70,1,96,75,0.529304,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{2\,B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{\sqrt{2}\,A\,\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}-\frac{\sqrt{2}\,B\,\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*B*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2^(1/2)*A*(-a)^(1/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/d - (2^(1/2)*B*a^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/d","B"
71,1,493,86,6.792012,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{2\,A\,\sqrt{a}\,\mathrm{atanh}\left(\frac{16\,A^3\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{16\,d\,A^3\,a^5+32{}\mathrm{i}\,d\,A^2\,B\,a^5+16\,d\,A\,B^2\,a^5}+\frac{16\,A\,B^2\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{16\,d\,A^3\,a^5+32{}\mathrm{i}\,d\,A^2\,B\,a^5+16\,d\,A\,B^2\,a^5}+\frac{A^2\,B\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,32{}\mathrm{i}}{16\,d\,A^3\,a^5+32{}\mathrm{i}\,d\,A^2\,B\,a^5+16\,d\,A\,B^2\,a^5}\right)}{d}+\frac{\sqrt{2}\,\sqrt{-a}\,\mathrm{atan}\left(\frac{4\,\sqrt{2}\,A^3\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{8\,d\,A^3\,a^5+8{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-8{}\mathrm{i}\,d\,B^3\,a^5}-\frac{\sqrt{2}\,B^3\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{8\,d\,A^3\,a^5+8{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-8{}\mathrm{i}\,d\,B^3\,a^5}+\frac{12\,\sqrt{2}\,A\,B^2\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{8\,d\,A^3\,a^5+8{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-8{}\mathrm{i}\,d\,B^3\,a^5}+\frac{\sqrt{2}\,A^2\,B\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{8\,d\,A^3\,a^5+8{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-8{}\mathrm{i}\,d\,B^3\,a^5}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2^(1/2)*(-a)^(1/2)*atan((4*2^(1/2)*A^3*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(8*A^3*a^5*d - B^3*a^5*d*8i + 24*A*B^2*a^5*d + A^2*B*a^5*d*8i) - (2^(1/2)*B^3*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/(8*A^3*a^5*d - B^3*a^5*d*8i + 24*A*B^2*a^5*d + A^2*B*a^5*d*8i) + (12*2^(1/2)*A*B^2*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(8*A^3*a^5*d - B^3*a^5*d*8i + 24*A*B^2*a^5*d + A^2*B*a^5*d*8i) + (2^(1/2)*A^2*B*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/(8*A^3*a^5*d - B^3*a^5*d*8i + 24*A*B^2*a^5*d + A^2*B*a^5*d*8i))*(A*1i + B)*1i)/d - (2*A*a^(1/2)*atanh((16*A^3*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(16*A^3*a^5*d + 16*A*B^2*a^5*d + A^2*B*a^5*d*32i) + (16*A*B^2*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(16*A^3*a^5*d + 16*A*B^2*a^5*d + A^2*B*a^5*d*32i) + (A^2*B*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*32i)/(16*A^3*a^5*d + 16*A*B^2*a^5*d + A^2*B*a^5*d*32i)))/d","B"
72,1,168,123,7.063274,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{\mathrm{cot}\left(c+d\,x\right)\,\left(A\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+A\,\sqrt{a}\,\mathrm{tan}\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a}}\right)\,1{}\mathrm{i}+2\,B\,\sqrt{a}\,\mathrm{tan}\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a}}\right)-\sqrt{2}\,A\,\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)\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}-\sqrt{2}\,B\,\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)\,\mathrm{tan}\left(c+d\,x\right)\right)}{d}","Not used",1,"-(cot(c + d*x)*(A*(a + a*tan(c + d*x)*1i)^(1/2) + A*a^(1/2)*tan(c + d*x)*atanh((a + a*tan(c + d*x)*1i)^(1/2)/a^(1/2))*1i + 2*B*a^(1/2)*tan(c + d*x)*atanh((a + a*tan(c + d*x)*1i)^(1/2)/a^(1/2)) - 2^(1/2)*A*a^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2)))*tan(c + d*x)*1i - 2^(1/2)*B*a^(1/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2)))*tan(c + d*x)))/d","B"
73,1,702,169,6.905064,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{\frac{\left(A\,a^2+B\,a^2\,4{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,d}+\frac{\left(A\,a-B\,a\,4{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2-2\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)+a^2}-\frac{\mathrm{atan}\left(\frac{17\,A^3\,a^4\,d\,\sqrt{-\frac{a}{2}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{17\,d\,A^3\,a^5-9{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5}-\frac{B^3\,a^4\,d\,\sqrt{-\frac{a}{2}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,16{}\mathrm{i}}{17\,d\,A^3\,a^5-9{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5}+\frac{24\,A\,B^2\,a^4\,d\,\sqrt{-\frac{a}{2}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{17\,d\,A^3\,a^5-9{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5}-\frac{A^2\,B\,a^4\,d\,\sqrt{-\frac{a}{2}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,9{}\mathrm{i}}{17\,d\,A^3\,a^5-9{}\mathrm{i}\,d\,A^2\,B\,a^5+24\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,\sqrt{-\frac{a}{2}}\,2{}\mathrm{i}}{d}+\frac{\sqrt{-a}\,\mathrm{atan}\left(\frac{119\,A^3\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,\left(\frac{119\,d\,A^3\,a^5}{4}-3{}\mathrm{i}\,d\,A^2\,B\,a^5+36\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5\right)}-\frac{B^3\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,16{}\mathrm{i}}{\frac{119\,d\,A^3\,a^5}{4}-3{}\mathrm{i}\,d\,A^2\,B\,a^5+36\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5}+\frac{36\,A\,B^2\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\frac{119\,d\,A^3\,a^5}{4}-3{}\mathrm{i}\,d\,A^2\,B\,a^5+36\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5}-\frac{A^2\,B\,{\left(-a\right)}^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,3{}\mathrm{i}}{\frac{119\,d\,A^3\,a^5}{4}-3{}\mathrm{i}\,d\,A^2\,B\,a^5+36\,d\,A\,B^2\,a^5-16{}\mathrm{i}\,d\,B^3\,a^5}\right)\,\left(4\,B+A\,7{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,d}","Not used",1,"(((A*a^2 + B*a^2*4i)*(a + a*tan(c + d*x)*1i)^(1/2))/(4*d) + ((A*a - B*a*4i)*(a + a*tan(c + d*x)*1i)^(3/2))/(4*d))/((a + a*tan(c + d*x)*1i)^2 - 2*a*(a + a*tan(c + d*x)*1i) + a^2) - (atan((17*A^3*a^4*d*(-a/2)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(17*A^3*a^5*d - B^3*a^5*d*16i + 24*A*B^2*a^5*d - A^2*B*a^5*d*9i) - (B^3*a^4*d*(-a/2)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*16i)/(17*A^3*a^5*d - B^3*a^5*d*16i + 24*A*B^2*a^5*d - A^2*B*a^5*d*9i) + (24*A*B^2*a^4*d*(-a/2)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(17*A^3*a^5*d - B^3*a^5*d*16i + 24*A*B^2*a^5*d - A^2*B*a^5*d*9i) - (A^2*B*a^4*d*(-a/2)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*9i)/(17*A^3*a^5*d - B^3*a^5*d*16i + 24*A*B^2*a^5*d - A^2*B*a^5*d*9i))*(A*1i + B)*(-a/2)^(1/2)*2i)/d + ((-a)^(1/2)*atan((119*A^3*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(4*((119*A^3*a^5*d)/4 - B^3*a^5*d*16i + 36*A*B^2*a^5*d - A^2*B*a^5*d*3i)) - (B^3*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*16i)/((119*A^3*a^5*d)/4 - B^3*a^5*d*16i + 36*A*B^2*a^5*d - A^2*B*a^5*d*3i) + (36*A*B^2*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/((119*A^3*a^5*d)/4 - B^3*a^5*d*16i + 36*A*B^2*a^5*d - A^2*B*a^5*d*3i) - (A^2*B*(-a)^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*3i)/((119*A^3*a^5*d)/4 - B^3*a^5*d*16i + 36*A*B^2*a^5*d - A^2*B*a^5*d*3i))*(A*7i + 4*B)*1i)/(4*d)","B"
74,1,735,210,7.088574,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{\frac{\left(9\,A\,a^3+B\,a^3\,2{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{8\,d}+\frac{\left(7\,A\,a-B\,a\,2{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,1{}\mathrm{i}}{8\,d}-\frac{A\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,5{}\mathrm{i}}{3\,d}}{3\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2-3\,a^2\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3+a^3}-\frac{\mathrm{atan}\left(\frac{47\,\sqrt{32}\,A^3\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{8\,\left(47{}\mathrm{i}\,d\,A^3\,a^5+51\,d\,A^2\,B\,a^5+64{}\mathrm{i}\,d\,A\,B^2\,a^5+68\,d\,B^3\,a^5\right)}-\frac{\sqrt{32}\,B^3\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,17{}\mathrm{i}}{2\,\left(47{}\mathrm{i}\,d\,A^3\,a^5+51\,d\,A^2\,B\,a^5+64{}\mathrm{i}\,d\,A\,B^2\,a^5+68\,d\,B^3\,a^5\right)}+\frac{8\,\sqrt{32}\,A\,B^2\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{47{}\mathrm{i}\,d\,A^3\,a^5+51\,d\,A^2\,B\,a^5+64{}\mathrm{i}\,d\,A\,B^2\,a^5+68\,d\,B^3\,a^5}-\frac{\sqrt{32}\,A^2\,B\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,51{}\mathrm{i}}{8\,\left(47{}\mathrm{i}\,d\,A^3\,a^5+51\,d\,A^2\,B\,a^5+64{}\mathrm{i}\,d\,A\,B^2\,a^5+68\,d\,B^3\,a^5\right)}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,\sqrt{\frac{a}{32}}\,8{}\mathrm{i}}{d}+\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{423\,A^3\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{8\,\left(\frac{423{}\mathrm{i}\,d\,A^3\,a^5}{8}+\frac{347\,d\,A^2\,B\,a^5}{4}+\frac{139{}\mathrm{i}\,d\,A\,B^2\,a^5}{2}+119\,d\,B^3\,a^5\right)}-\frac{B^3\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,119{}\mathrm{i}}{\frac{423{}\mathrm{i}\,d\,A^3\,a^5}{8}+\frac{347\,d\,A^2\,B\,a^5}{4}+\frac{139{}\mathrm{i}\,d\,A\,B^2\,a^5}{2}+119\,d\,B^3\,a^5}+\frac{139\,A\,B^2\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\left(\frac{423{}\mathrm{i}\,d\,A^3\,a^5}{8}+\frac{347\,d\,A^2\,B\,a^5}{4}+\frac{139{}\mathrm{i}\,d\,A\,B^2\,a^5}{2}+119\,d\,B^3\,a^5\right)}-\frac{A^2\,B\,a^{9/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,347{}\mathrm{i}}{4\,\left(\frac{423{}\mathrm{i}\,d\,A^3\,a^5}{8}+\frac{347\,d\,A^2\,B\,a^5}{4}+\frac{139{}\mathrm{i}\,d\,A\,B^2\,a^5}{2}+119\,d\,B^3\,a^5\right)}\right)\,\left(14\,B+A\,9{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,d}","Not used",1,"(a^(1/2)*atan((423*A^3*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(8*((A^3*a^5*d*423i)/8 + 119*B^3*a^5*d + (A*B^2*a^5*d*139i)/2 + (347*A^2*B*a^5*d)/4)) - (B^3*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*119i)/((A^3*a^5*d*423i)/8 + 119*B^3*a^5*d + (A*B^2*a^5*d*139i)/2 + (347*A^2*B*a^5*d)/4) + (139*A*B^2*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(2*((A^3*a^5*d*423i)/8 + 119*B^3*a^5*d + (A*B^2*a^5*d*139i)/2 + (347*A^2*B*a^5*d)/4)) - (A^2*B*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*347i)/(4*((A^3*a^5*d*423i)/8 + 119*B^3*a^5*d + (A*B^2*a^5*d*139i)/2 + (347*A^2*B*a^5*d)/4)))*(A*9i + 14*B)*1i)/(8*d) - (atan((47*32^(1/2)*A^3*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(8*(A^3*a^5*d*47i + 68*B^3*a^5*d + A*B^2*a^5*d*64i + 51*A^2*B*a^5*d)) - (32^(1/2)*B^3*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*17i)/(2*(A^3*a^5*d*47i + 68*B^3*a^5*d + A*B^2*a^5*d*64i + 51*A^2*B*a^5*d)) + (8*32^(1/2)*A*B^2*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(A^3*a^5*d*47i + 68*B^3*a^5*d + A*B^2*a^5*d*64i + 51*A^2*B*a^5*d) - (32^(1/2)*A^2*B*a^(9/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*51i)/(8*(A^3*a^5*d*47i + 68*B^3*a^5*d + A*B^2*a^5*d*64i + 51*A^2*B*a^5*d)))*(A*1i + B)*(a/32)^(1/2)*8i)/d - (((9*A*a^3 + B*a^3*2i)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(8*d) + ((7*A*a - B*a*2i)*(a + a*tan(c + d*x)*1i)^(5/2)*1i)/(8*d) - (A*a^2*(a + a*tan(c + d*x)*1i)^(3/2)*5i)/(3*d))/(3*a*(a + a*tan(c + d*x)*1i)^2 - 3*a^2*(a + a*tan(c + d*x)*1i) - (a + a*tan(c + d*x)*1i)^3 + a^3)","B"
75,1,211,197,7.416989,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}-\frac{A\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{d}-\frac{2\,B\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,2{}\mathrm{i}}{5\,a\,d}+\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a\,d}-\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{7\,a^2\,d}-\frac{\sqrt{2}\,A\,{\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}-\frac{\sqrt{2}\,B\,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*B*(a + a*tan(c + d*x)*1i)^(5/2))/(5*a*d) - (A*a*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/d - (2*B*a*(a + a*tan(c + d*x)*1i)^(1/2))/d - (A*(a + a*tan(c + d*x)*1i)^(5/2)*2i)/(5*a*d) - (2*B*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) - (2*B*(a + a*tan(c + d*x)*1i)^(7/2))/(7*a^2*d) - (2^(1/2)*A*(-a)^(3/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*2i)/d - (2^(1/2)*B*a^(3/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*2i)/d","B"
76,1,163,137,6.931420,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{2\,A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}+\frac{2\,A\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{B\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{d}-\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,2{}\mathrm{i}}{5\,a\,d}-\frac{\sqrt{2}\,B\,{\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}-\frac{2\,\sqrt{2}\,A\,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 + a*tan(c + d*x)*1i)^(3/2))/(3*d) + (2*A*a*(a + a*tan(c + d*x)*1i)^(1/2))/d - (B*a*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/d - (B*(a + a*tan(c + d*x)*1i)^(5/2)*2i)/(5*a*d) - (2^(1/2)*B*(-a)^(3/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*2i)/d - (2*2^(1/2)*A*a^(3/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/d","B"
77,1,139,107,6.639414,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}+\frac{A\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{d}+\frac{2\,B\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}+\frac{\sqrt{2}\,A\,{\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}-\frac{2\,\sqrt{2}\,B\,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*B*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) + (A*a*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/d + (2*B*a*(a + a*tan(c + d*x)*1i)^(1/2))/d + (2^(1/2)*A*(-a)^(3/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*2i)/d - (2*2^(1/2)*B*a^(3/2)*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/d","B"
78,1,553,113,6.598318,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{B\,a\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{d}-\frac{2\,A\,\mathrm{atanh}\left(-\frac{32\,A^3\,a^6\,d\,\sqrt{a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{-32\,d\,A^3\,a^8+128{}\mathrm{i}\,d\,A^2\,B\,a^8+64\,d\,A\,B^2\,a^8}+\frac{64\,A\,B^2\,a^6\,d\,\sqrt{a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{-32\,d\,A^3\,a^8+128{}\mathrm{i}\,d\,A^2\,B\,a^8+64\,d\,A\,B^2\,a^8}+\frac{A^2\,B\,a^6\,d\,\sqrt{a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,128{}\mathrm{i}}{-32\,d\,A^3\,a^8+128{}\mathrm{i}\,d\,A^2\,B\,a^8+64\,d\,A\,B^2\,a^8}\right)\,\sqrt{a^3}}{d}+\frac{2\,\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,A^3\,a^6\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,16{}\mathrm{i}}{32\,d\,A^3\,a^8-160{}\mathrm{i}\,d\,A^2\,B\,a^8-192\,d\,A\,B^2\,a^8+64{}\mathrm{i}\,d\,B^3\,a^8}-\frac{32\,\sqrt{2}\,B^3\,a^6\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{32\,d\,A^3\,a^8-160{}\mathrm{i}\,d\,A^2\,B\,a^8-192\,d\,A\,B^2\,a^8+64{}\mathrm{i}\,d\,B^3\,a^8}-\frac{\sqrt{2}\,A\,B^2\,a^6\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,96{}\mathrm{i}}{32\,d\,A^3\,a^8-160{}\mathrm{i}\,d\,A^2\,B\,a^8-192\,d\,A\,B^2\,a^8+64{}\mathrm{i}\,d\,B^3\,a^8}+\frac{80\,\sqrt{2}\,A^2\,B\,a^6\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{32\,d\,A^3\,a^8-160{}\mathrm{i}\,d\,A^2\,B\,a^8-192\,d\,A\,B^2\,a^8+64{}\mathrm{i}\,d\,B^3\,a^8}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,\sqrt{-a^3}}{d}","Not used",1,"(B*a*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/d - (2*A*atanh((64*A*B^2*a^6*d*(a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(64*A*B^2*a^8*d - 32*A^3*a^8*d + A^2*B*a^8*d*128i) - (32*A^3*a^6*d*(a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(64*A*B^2*a^8*d - 32*A^3*a^8*d + A^2*B*a^8*d*128i) + (A^2*B*a^6*d*(a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*128i)/(64*A*B^2*a^8*d - 32*A^3*a^8*d + A^2*B*a^8*d*128i))*(a^3)^(1/2))/d + (2*2^(1/2)*atanh((2^(1/2)*A^3*a^6*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*16i)/(32*A^3*a^8*d + B^3*a^8*d*64i - 192*A*B^2*a^8*d - A^2*B*a^8*d*160i) - (32*2^(1/2)*B^3*a^6*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(32*A^3*a^8*d + B^3*a^8*d*64i - 192*A*B^2*a^8*d - A^2*B*a^8*d*160i) - (2^(1/2)*A*B^2*a^6*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*96i)/(32*A^3*a^8*d + B^3*a^8*d*64i - 192*A*B^2*a^8*d - A^2*B*a^8*d*160i) + (80*2^(1/2)*A^2*B*a^6*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(32*A^3*a^8*d + B^3*a^8*d*64i - 192*A*B^2*a^8*d - A^2*B*a^8*d*160i))*(A*1i + B)*(-a^3)^(1/2))/d","B"
79,1,2338,125,8.080547,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","-2\,\mathrm{atanh}\left(\frac{6\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3\,B^2\,a^3}{2\,d^2}-\frac{17\,A^2\,a^3}{8\,d^2}-\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{A^3\,a^{11}\,d\,10{}\mathrm{i}+32\,B^3\,a^{11}\,d+A\,B^2\,a^{11}\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^{11}\,d+A\,a^2\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}+\frac{2\,A^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3\,B^2\,a^3}{2\,d^2}-\frac{17\,A^2\,a^3}{8\,d^2}-\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}}{A^3\,a^8\,d\,10{}\mathrm{i}+32\,B^3\,a^8\,d+A\,B^2\,a^8\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^8\,d+\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}{a}}+\frac{8\,B^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3\,B^2\,a^3}{2\,d^2}-\frac{17\,A^2\,a^3}{8\,d^2}-\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}}{A^3\,a^8\,d\,10{}\mathrm{i}+32\,B^3\,a^8\,d+A\,B^2\,a^8\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^8\,d+\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}{a}}+\frac{A\,B\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3\,B^2\,a^3}{2\,d^2}-\frac{17\,A^2\,a^3}{8\,d^2}-\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}\,8{}\mathrm{i}}{A^3\,a^8\,d\,10{}\mathrm{i}+32\,B^3\,a^8\,d+A\,B^2\,a^8\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^8\,d+\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}{a}}\right)\,\sqrt{\frac{3\,B^2\,a^3}{2\,d^2}-\frac{17\,A^2\,a^3}{8\,d^2}-\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}-2\,\mathrm{atanh}\left(-\frac{6\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{17\,A^2\,a^3}{8\,d^2}+\frac{3\,B^2\,a^3}{2\,d^2}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{A^3\,a^{11}\,d\,10{}\mathrm{i}+32\,B^3\,a^{11}\,d+A\,B^2\,a^{11}\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^{11}\,d-A\,a^2\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}+\frac{2\,A^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{17\,A^2\,a^3}{8\,d^2}+\frac{3\,B^2\,a^3}{2\,d^2}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}}{A^3\,a^8\,d\,10{}\mathrm{i}+32\,B^3\,a^8\,d+A\,B^2\,a^8\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^8\,d-\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}{a}}+\frac{8\,B^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{17\,A^2\,a^3}{8\,d^2}+\frac{3\,B^2\,a^3}{2\,d^2}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}}{A^3\,a^8\,d\,10{}\mathrm{i}+32\,B^3\,a^8\,d+A\,B^2\,a^8\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^8\,d-\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}{a}}+\frac{A\,B\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{17\,A^2\,a^3}{8\,d^2}+\frac{3\,B^2\,a^3}{2\,d^2}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}\,8{}\mathrm{i}}{A^3\,a^8\,d\,10{}\mathrm{i}+32\,B^3\,a^8\,d+A\,B^2\,a^8\,d\,72{}\mathrm{i}-32\,A^2\,B\,a^8\,d-\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}}{a}}\right)\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{18}}{d^4}+\frac{16\,B^4\,a^{18}}{d^4}-\frac{8\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,32{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,8{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{17\,A^2\,a^3}{8\,d^2}+\frac{3\,B^2\,a^3}{2\,d^2}+\frac{A\,B\,a^3\,7{}\mathrm{i}}{2\,d^2}}-\frac{A\,a\,\mathrm{cot}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}","Not used",1,"- 2*atanh((6*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((3*B^2*a^3)/(2*d^2) - (17*A^2*a^3)/(8*d^2) - ((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) + (A*B*a^3*7i)/(2*d^2))^(1/2)*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2))/(A^3*a^11*d*10i + 32*B^3*a^11*d + A*B^2*a^11*d*72i - 32*A^2*B*a^11*d + A*a^2*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i) + (2*A^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((3*B^2*a^3)/(2*d^2) - (17*A^2*a^3)/(8*d^2) - ((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) + (A*B*a^3*7i)/(2*d^2))^(1/2))/(A^3*a^8*d*10i + 32*B^3*a^8*d + A*B^2*a^8*d*72i - 32*A^2*B*a^8*d + (A*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i)/a) + (8*B^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((3*B^2*a^3)/(2*d^2) - (17*A^2*a^3)/(8*d^2) - ((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) + (A*B*a^3*7i)/(2*d^2))^(1/2))/(A^3*a^8*d*10i + 32*B^3*a^8*d + A*B^2*a^8*d*72i - 32*A^2*B*a^8*d + (A*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i)/a) + (A*B*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((3*B^2*a^3)/(2*d^2) - (17*A^2*a^3)/(8*d^2) - ((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) + (A*B*a^3*7i)/(2*d^2))^(1/2)*8i)/(A^3*a^8*d*10i + 32*B^3*a^8*d + A*B^2*a^8*d*72i - 32*A^2*B*a^8*d + (A*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i)/a))*((3*B^2*a^3)/(2*d^2) - (17*A^2*a^3)/(8*d^2) - ((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) + (A*B*a^3*7i)/(2*d^2))^(1/2) - 2*atanh((2*A^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) - (17*A^2*a^3)/(8*d^2) + (3*B^2*a^3)/(2*d^2) + (A*B*a^3*7i)/(2*d^2))^(1/2))/(A^3*a^8*d*10i + 32*B^3*a^8*d + A*B^2*a^8*d*72i - 32*A^2*B*a^8*d - (A*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i)/a) - (6*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) - (17*A^2*a^3)/(8*d^2) + (3*B^2*a^3)/(2*d^2) + (A*B*a^3*7i)/(2*d^2))^(1/2)*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2))/(A^3*a^11*d*10i + 32*B^3*a^11*d + A*B^2*a^11*d*72i - 32*A^2*B*a^11*d - A*a^2*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i) + (8*B^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) - (17*A^2*a^3)/(8*d^2) + (3*B^2*a^3)/(2*d^2) + (A*B*a^3*7i)/(2*d^2))^(1/2))/(A^3*a^8*d*10i + 32*B^3*a^8*d + A*B^2*a^8*d*72i - 32*A^2*B*a^8*d - (A*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i)/a) + (A*B*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) - (17*A^2*a^3)/(8*d^2) + (3*B^2*a^3)/(2*d^2) + (A*B*a^3*7i)/(2*d^2))^(1/2)*8i)/(A^3*a^8*d*10i + 32*B^3*a^8*d + A*B^2*a^8*d*72i - 32*A^2*B*a^8*d - (A*d^3*((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)*2i)/a))*(((A^4*a^18)/d^4 + (16*B^4*a^18)/d^4 - (8*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*32i)/d^4 + (A^3*B*a^18*8i)/d^4)^(1/2)/(8*a^6) - (17*A^2*a^3)/(8*d^2) + (3*B^2*a^3)/(2*d^2) + (A*B*a^3*7i)/(2*d^2))^(1/2) - (A*a*cot(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2))/d","B"
80,1,3027,171,7.818856,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{\left(3\,A\,a^3-B\,a^3\,4{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,d}-\frac{\left(5\,A\,a^2-B\,a^2\,4{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2-2\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)+a^2}+2\,\mathrm{atanh}\left(\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,A^2\,a^3}{128\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{2\,\left(\frac{133\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,3{}\mathrm{i}}{4}+\frac{3\,A\,a^2\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8}-\frac{B\,a^2\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}\right)}+\frac{7\,A^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,A^2\,a^3}{128\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}}{4\,\left(\frac{133\,A^3\,a^8\,d}{16}-B^3\,a^8\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^8\,d+\frac{A^2\,B\,a^8\,d\,3{}\mathrm{i}}{4}+\frac{3\,A\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8\,a}-\frac{B\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2\,a}\right)}+\frac{4\,B^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,A^2\,a^3}{128\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}}{\frac{133\,A^3\,a^8\,d}{16}-B^3\,a^8\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^8\,d+\frac{A^2\,B\,a^8\,d\,3{}\mathrm{i}}{4}+\frac{3\,A\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8\,a}-\frac{B\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2\,a}}+\frac{A\,B\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,A^2\,a^3}{128\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}\,2{}\mathrm{i}}{\frac{133\,A^3\,a^8\,d}{16}-B^3\,a^8\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^8\,d+\frac{A^2\,B\,a^8\,d\,3{}\mathrm{i}}{4}+\frac{3\,A\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8\,a}-\frac{B\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2\,a}}\right)\,\sqrt{\frac{249\,A^2\,a^3}{128\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}+2\,\mathrm{atanh}\left(-\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{249\,A^2\,a^3}{128\,d^2}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{2\,\left(\frac{133\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,3{}\mathrm{i}}{4}-\frac{3\,A\,a^2\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8}+\frac{B\,a^2\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}\right)}+\frac{7\,A^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{249\,A^2\,a^3}{128\,d^2}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}}{4\,\left(\frac{133\,A^3\,a^8\,d}{16}-B^3\,a^8\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^8\,d+\frac{A^2\,B\,a^8\,d\,3{}\mathrm{i}}{4}-\frac{3\,A\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8\,a}+\frac{B\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2\,a}\right)}+\frac{4\,B^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{249\,A^2\,a^3}{128\,d^2}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}}{\frac{133\,A^3\,a^8\,d}{16}-B^3\,a^8\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^8\,d+\frac{A^2\,B\,a^8\,d\,3{}\mathrm{i}}{4}-\frac{3\,A\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8\,a}+\frac{B\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2\,a}}+\frac{A\,B\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{249\,A^2\,a^3}{128\,d^2}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}\,2{}\mathrm{i}}{\frac{133\,A^3\,a^8\,d}{16}-B^3\,a^8\,d\,20{}\mathrm{i}+29\,A\,B^2\,a^8\,d+\frac{A^2\,B\,a^8\,d\,3{}\mathrm{i}}{4}-\frac{3\,A\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{8\,a}+\frac{B\,d^3\,\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2\,a}}\right)\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{18}}{4\,d^4}+\frac{64\,B^4\,a^{18}}{d^4}+\frac{40\,A^2\,B^2\,a^{18}}{d^4}+\frac{A\,B^3\,a^{18}\,64{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{18}\,28{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{249\,A^2\,a^3}{128\,d^2}-\frac{17\,B^2\,a^3}{8\,d^2}-\frac{A\,B\,a^3\,65{}\mathrm{i}}{16\,d^2}}","Not used",1,"2*atanh((3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((249*A^2*a^3)/(128*d^2) - ((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2)*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(2*((133*A^3*a^11*d)/16 - B^3*a^11*d*20i + 29*A*B^2*a^11*d + (A^2*B*a^11*d*3i)/4 + (3*A*a^2*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/8 - (B*a^2*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/2)) + (7*A^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((249*A^2*a^3)/(128*d^2) - ((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2))/(4*((133*A^3*a^8*d)/16 - B^3*a^8*d*20i + 29*A*B^2*a^8*d + (A^2*B*a^8*d*3i)/4 + (3*A*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(8*a) - (B*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/(2*a))) + (4*B^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((249*A^2*a^3)/(128*d^2) - ((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2))/((133*A^3*a^8*d)/16 - B^3*a^8*d*20i + 29*A*B^2*a^8*d + (A^2*B*a^8*d*3i)/4 + (3*A*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(8*a) - (B*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/(2*a)) + (A*B*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((249*A^2*a^3)/(128*d^2) - ((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2)*2i)/((133*A^3*a^8*d)/16 - B^3*a^8*d*20i + 29*A*B^2*a^8*d + (A^2*B*a^8*d*3i)/4 + (3*A*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(8*a) - (B*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/(2*a)))*((249*A^2*a^3)/(128*d^2) - ((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2) - (((3*A*a^3 - B*a^3*4i)*(a + a*tan(c + d*x)*1i)^(1/2))/(4*d) - ((5*A*a^2 - B*a^2*4i)*(a + a*tan(c + d*x)*1i)^(3/2))/(4*d))/((a + a*tan(c + d*x)*1i)^2 - 2*a*(a + a*tan(c + d*x)*1i) + a^2) + 2*atanh((7*A^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) + (249*A^2*a^3)/(128*d^2) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2))/(4*((133*A^3*a^8*d)/16 - B^3*a^8*d*20i + 29*A*B^2*a^8*d + (A^2*B*a^8*d*3i)/4 - (3*A*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(8*a) + (B*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/(2*a))) - (3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) + (249*A^2*a^3)/(128*d^2) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2)*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(2*((133*A^3*a^11*d)/16 - B^3*a^11*d*20i + 29*A*B^2*a^11*d + (A^2*B*a^11*d*3i)/4 - (3*A*a^2*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/8 + (B*a^2*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/2)) + (4*B^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) + (249*A^2*a^3)/(128*d^2) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2))/((133*A^3*a^8*d)/16 - B^3*a^8*d*20i + 29*A*B^2*a^8*d + (A^2*B*a^8*d*3i)/4 - (3*A*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(8*a) + (B*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/(2*a)) + (A*B*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) + (249*A^2*a^3)/(128*d^2) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2)*2i)/((133*A^3*a^8*d)/16 - B^3*a^8*d*20i + 29*A*B^2*a^8*d + (A^2*B*a^8*d*3i)/4 - (3*A*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2))/(8*a) + (B*d^3*((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)*1i)/(2*a)))*(((49*A^4*a^18)/(4*d^4) + (64*B^4*a^18)/d^4 + (40*A^2*B^2*a^18)/d^4 + (A*B^3*a^18*64i)/d^4 + (A^3*B*a^18*28i)/d^4)^(1/2)/(64*a^6) + (249*A^2*a^3)/(128*d^2) - (17*B^2*a^3)/(8*d^2) - (A*B*a^3*65i)/(16*d^2))^(1/2)","B"
81,1,3084,213,7.858066,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","2\,\mathrm{atanh}\left(\frac{6\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,B^2\,a^3}{128\,d^2}-\frac{1041\,A^2\,a^3}{512\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{\frac{A^3\,a^{11}\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^{11}\,d}{4}+\frac{A\,B^2\,a^{11}\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^{11}\,d}{16}+\frac{A\,a^2\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4}+\frac{3\,B\,a^2\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2}}+\frac{17\,A^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,B^2\,a^3}{128\,d^2}-\frac{1041\,A^2\,a^3}{512\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}}{4\,\left(\frac{A^3\,a^8\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^8\,d}{4}+\frac{A\,B^2\,a^8\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^8\,d}{16}+\frac{A\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4\,a}+\frac{3\,B\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2\,a}\right)}+\frac{7\,B^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,B^2\,a^3}{128\,d^2}-\frac{1041\,A^2\,a^3}{512\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}}{\frac{A^3\,a^8\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^8\,d}{4}+\frac{A\,B^2\,a^8\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^8\,d}{16}+\frac{A\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4\,a}+\frac{3\,B\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2\,a}}+\frac{A\,B\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{249\,B^2\,a^3}{128\,d^2}-\frac{1041\,A^2\,a^3}{512\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}\,3{}\mathrm{i}}{\frac{A^3\,a^8\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^8\,d}{4}+\frac{A\,B^2\,a^8\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^8\,d}{16}+\frac{A\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4\,a}+\frac{3\,B\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2\,a}}\right)\,\sqrt{\frac{249\,B^2\,a^3}{128\,d^2}-\frac{1041\,A^2\,a^3}{512\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}+2\,\mathrm{atanh}\left(-\frac{6\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{1041\,A^2\,a^3}{512\,d^2}+\frac{249\,B^2\,a^3}{128\,d^2}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{\frac{A^3\,a^{11}\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^{11}\,d}{4}+\frac{A\,B^2\,a^{11}\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^{11}\,d}{16}-\frac{A\,a^2\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4}-\frac{3\,B\,a^2\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2}}+\frac{17\,A^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{1041\,A^2\,a^3}{512\,d^2}+\frac{249\,B^2\,a^3}{128\,d^2}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}}{4\,\left(\frac{A^3\,a^8\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^8\,d}{4}+\frac{A\,B^2\,a^8\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^8\,d}{16}-\frac{A\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4\,a}-\frac{3\,B\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2\,a}\right)}+\frac{7\,B^2\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{1041\,A^2\,a^3}{512\,d^2}+\frac{249\,B^2\,a^3}{128\,d^2}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}}{\frac{A^3\,a^8\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^8\,d}{4}+\frac{A\,B^2\,a^8\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^8\,d}{16}-\frac{A\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4\,a}-\frac{3\,B\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2\,a}}+\frac{A\,B\,a^6\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{1041\,A^2\,a^3}{512\,d^2}+\frac{249\,B^2\,a^3}{128\,d^2}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}\,3{}\mathrm{i}}{\frac{A^3\,a^8\,d\,663{}\mathrm{i}}{32}+\frac{133\,B^3\,a^8\,d}{4}+\frac{A\,B^2\,a^8\,d\,387{}\mathrm{i}}{8}+\frac{89\,A^2\,B\,a^8\,d}{16}-\frac{A\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}\,7{}\mathrm{i}}{4\,a}-\frac{3\,B\,d^3\,\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{2\,a}}\right)\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{18}}{64\,d^4}+\frac{49\,B^4\,a^{18}}{4\,d^4}+\frac{101\,A^2\,B^2\,a^{18}}{8\,d^4}+\frac{A\,B^3\,a^{18}\,21{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{18}\,51{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{1041\,A^2\,a^3}{512\,d^2}+\frac{249\,B^2\,a^3}{128\,d^2}+\frac{A\,B\,a^3\,509{}\mathrm{i}}{128\,d^2}}-\frac{-\frac{\left(5\,A\,a^3-B\,a^3\,6{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,1{}\mathrm{i}}{3\,d}+\frac{\left(9\,A\,a^2-B\,a^2\,10{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,1{}\mathrm{i}}{8\,d}+\frac{\left(35\,A\,a^4-B\,a^4\,30{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{40\,d}}{3\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2-3\,a^2\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3+a^3}","Not used",1,"2*atanh((6*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((249*B^2*a^3)/(128*d^2) - (1041*A^2*a^3)/(512*d^2) - ((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^3*509i)/(128*d^2))^(1/2)*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/((A^3*a^11*d*663i)/32 + (133*B^3*a^11*d)/4 + (A*B^2*a^11*d*387i)/8 + (89*A^2*B*a^11*d)/16 + (A*a^2*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/4 + (3*B*a^2*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/2) + (17*A^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((249*B^2*a^3)/(128*d^2) - (1041*A^2*a^3)/(512*d^2) - ((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^3*509i)/(128*d^2))^(1/2))/(4*((A^3*a^8*d*663i)/32 + (133*B^3*a^8*d)/4 + (A*B^2*a^8*d*387i)/8 + (89*A^2*B*a^8*d)/16 + (A*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/(4*a) + (3*B*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/(2*a))) + (7*B^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((249*B^2*a^3)/(128*d^2) - (1041*A^2*a^3)/(512*d^2) - ((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^3*509i)/(128*d^2))^(1/2))/((A^3*a^8*d*663i)/32 + (133*B^3*a^8*d)/4 + (A*B^2*a^8*d*387i)/8 + (89*A^2*B*a^8*d)/16 + (A*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/(4*a) + (3*B*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/(2*a)) + (A*B*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((249*B^2*a^3)/(128*d^2) - (1041*A^2*a^3)/(512*d^2) - ((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^3*509i)/(128*d^2))^(1/2)*3i)/((A^3*a^8*d*663i)/32 + (133*B^3*a^8*d)/4 + (A*B^2*a^8*d*387i)/8 + (89*A^2*B*a^8*d)/16 + (A*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/(4*a) + (3*B*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/(2*a)))*((249*B^2*a^3)/(128*d^2) - (1041*A^2*a^3)/(512*d^2) - ((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^3*509i)/(128*d^2))^(1/2) + 2*atanh((17*A^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) - (1041*A^2*a^3)/(512*d^2) + (249*B^2*a^3)/(128*d^2) + (A*B*a^3*509i)/(128*d^2))^(1/2))/(4*((A^3*a^8*d*663i)/32 + (133*B^3*a^8*d)/4 + (A*B^2*a^8*d*387i)/8 + (89*A^2*B*a^8*d)/16 - (A*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/(4*a) - (3*B*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/(2*a))) - (6*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) - (1041*A^2*a^3)/(512*d^2) + (249*B^2*a^3)/(128*d^2) + (A*B*a^3*509i)/(128*d^2))^(1/2)*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/((A^3*a^11*d*663i)/32 + (133*B^3*a^11*d)/4 + (A*B^2*a^11*d*387i)/8 + (89*A^2*B*a^11*d)/16 - (A*a^2*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/4 - (3*B*a^2*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/2) + (7*B^2*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) - (1041*A^2*a^3)/(512*d^2) + (249*B^2*a^3)/(128*d^2) + (A*B*a^3*509i)/(128*d^2))^(1/2))/((A^3*a^8*d*663i)/32 + (133*B^3*a^8*d)/4 + (A*B^2*a^8*d*387i)/8 + (89*A^2*B*a^8*d)/16 - (A*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/(4*a) - (3*B*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/(2*a)) + (A*B*a^6*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) - (1041*A^2*a^3)/(512*d^2) + (249*B^2*a^3)/(128*d^2) + (A*B*a^3*509i)/(128*d^2))^(1/2)*3i)/((A^3*a^8*d*663i)/32 + (133*B^3*a^8*d)/4 + (A*B^2*a^8*d*387i)/8 + (89*A^2*B*a^8*d)/16 - (A*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)*7i)/(4*a) - (3*B*d^3*((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2))/(2*a)))*(((289*A^4*a^18)/(64*d^4) + (49*B^4*a^18)/(4*d^4) + (101*A^2*B^2*a^18)/(8*d^4) + (A*B^3*a^18*21i)/(2*d^4) + (A^3*B*a^18*51i)/(8*d^4))^(1/2)/(64*a^6) - (1041*A^2*a^3)/(512*d^2) + (249*B^2*a^3)/(128*d^2) + (A*B*a^3*509i)/(128*d^2))^(1/2) - (((9*A*a^2 - B*a^2*10i)*(a + a*tan(c + d*x)*1i)^(5/2)*1i)/(8*d) - ((5*A*a^3 - B*a^3*6i)*(a + a*tan(c + d*x)*1i)^(3/2)*1i)/(3*d) + ((35*A*a^4 - B*a^4*30i)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(40*d))/(3*a*(a + a*tan(c + d*x)*1i)^2 - 3*a^2*(a + a*tan(c + d*x)*1i) - (a + a*tan(c + d*x)*1i)^3 + a^3)","B"
82,1,258,246,7.570730,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,d}-\frac{A\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}-\frac{2\,B\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}-\frac{A\,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)}^{7/2}\,2{}\mathrm{i}}{7\,a\,d}-\frac{4\,B\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}+\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{7\,a\,d}-\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{9/2}}{9\,a^2\,d}+\frac{\sqrt{2}\,A\,{\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}-\frac{\sqrt{2}\,B\,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*B*(a + a*tan(c + d*x)*1i)^(7/2))/(7*a*d) - (A*a*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*d) - (2*B*a*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) - (A*a^2*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/d - (A*(a + a*tan(c + d*x)*1i)^(7/2)*2i)/(7*a*d) - (4*B*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2*B*(a + a*tan(c + d*x)*1i)^(5/2))/(5*d) - (2*B*(a + a*tan(c + d*x)*1i)^(9/2))/(9*a^2*d) + (2^(1/2)*A*(-a)^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*4i)/d - (2^(1/2)*B*a^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*4i)/d","B"
83,1,212,171,7.317647,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{2\,A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,d}+\frac{2\,A\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}-\frac{B\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}+\frac{4\,A\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{B\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{d}-\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}\,2{}\mathrm{i}}{7\,a\,d}+\frac{\sqrt{2}\,B\,{\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}+\frac{\sqrt{2}\,A\,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 + a*tan(c + d*x)*1i)^(5/2))/(5*d) + (2*A*a*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) - (B*a*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*d) + (4*A*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/d - (B*a^2*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/d - (B*(a + a*tan(c + d*x)*1i)^(7/2)*2i)/(7*a*d) + (2^(1/2)*B*(-a)^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*4i)/d + (2^(1/2)*A*a^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*4i)/d","B"
84,1,188,141,0.961591,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,d}+\frac{A\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}+\frac{2\,B\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,d}+\frac{A\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{d}+\frac{4\,B\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{\sqrt{2}\,A\,{\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}+\frac{\sqrt{2}\,B\,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*B*(a + a*tan(c + d*x)*1i)^(5/2))/(5*d) + (A*a*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*d) + (2*B*a*(a + a*tan(c + d*x)*1i)^(3/2))/(3*d) + (A*a^2*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/d + (4*B*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/d - (2^(1/2)*A*(-a)^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*4i)/d + (2^(1/2)*B*a^(5/2)*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(2*a^(1/2)))*4i)/d","B"
85,1,597,147,6.974304,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\left(\frac{2\,a^2\,\left(A+B\,1{}\mathrm{i}\right)}{d}-\frac{B\,a^2\,6{}\mathrm{i}}{d}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\frac{B\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}-\frac{A\,\mathrm{atan}\left(\frac{A^3\,a^8\,d\,\sqrt{a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,224{}\mathrm{i}}{-224\,d\,A^3\,a^{11}+512{}\mathrm{i}\,d\,A^2\,B\,a^{11}+256\,d\,A\,B^2\,a^{11}}-\frac{A\,B^2\,a^8\,d\,\sqrt{a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,256{}\mathrm{i}}{-224\,d\,A^3\,a^{11}+512{}\mathrm{i}\,d\,A^2\,B\,a^{11}+256\,d\,A\,B^2\,a^{11}}+\frac{512\,A^2\,B\,a^8\,d\,\sqrt{a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{-224\,d\,A^3\,a^{11}+512{}\mathrm{i}\,d\,A^2\,B\,a^{11}+256\,d\,A\,B^2\,a^{11}}\right)\,\sqrt{a^5}\,2{}\mathrm{i}}{d}+\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{224\,\sqrt{2}\,A^3\,a^8\,d\,\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{448\,d\,A^3\,a^{11}-1472{}\mathrm{i}\,d\,A^2\,B\,a^{11}-1536\,d\,A\,B^2\,a^{11}+512{}\mathrm{i}\,d\,B^3\,a^{11}}+\frac{\sqrt{2}\,B^3\,a^8\,d\,\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,256{}\mathrm{i}}{448\,d\,A^3\,a^{11}-1472{}\mathrm{i}\,d\,A^2\,B\,a^{11}-1536\,d\,A\,B^2\,a^{11}+512{}\mathrm{i}\,d\,B^3\,a^{11}}-\frac{768\,\sqrt{2}\,A\,B^2\,a^8\,d\,\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{448\,d\,A^3\,a^{11}-1472{}\mathrm{i}\,d\,A^2\,B\,a^{11}-1536\,d\,A\,B^2\,a^{11}+512{}\mathrm{i}\,d\,B^3\,a^{11}}-\frac{\sqrt{2}\,A^2\,B\,a^8\,d\,\sqrt{-a^5}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,736{}\mathrm{i}}{448\,d\,A^3\,a^{11}-1472{}\mathrm{i}\,d\,A^2\,B\,a^{11}-1536\,d\,A\,B^2\,a^{11}+512{}\mathrm{i}\,d\,B^3\,a^{11}}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,\sqrt{-a^5}\,4{}\mathrm{i}}{d}","Not used",1,"(B*a*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*d) - ((2*a^2*(A + B*1i))/d - (B*a^2*6i)/d)*(a + a*tan(c + d*x)*1i)^(1/2) - (A*atan((A^3*a^8*d*(a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*224i)/(256*A*B^2*a^11*d - 224*A^3*a^11*d + A^2*B*a^11*d*512i) - (A*B^2*a^8*d*(a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*256i)/(256*A*B^2*a^11*d - 224*A^3*a^11*d + A^2*B*a^11*d*512i) + (512*A^2*B*a^8*d*(a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(256*A*B^2*a^11*d - 224*A^3*a^11*d + A^2*B*a^11*d*512i))*(a^5)^(1/2)*2i)/d + (2^(1/2)*atan((224*2^(1/2)*A^3*a^8*d*(-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(448*A^3*a^11*d + B^3*a^11*d*512i - 1536*A*B^2*a^11*d - A^2*B*a^11*d*1472i) + (2^(1/2)*B^3*a^8*d*(-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*256i)/(448*A^3*a^11*d + B^3*a^11*d*512i - 1536*A*B^2*a^11*d - A^2*B*a^11*d*1472i) - (768*2^(1/2)*A*B^2*a^8*d*(-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(448*A^3*a^11*d + B^3*a^11*d*512i - 1536*A*B^2*a^11*d - A^2*B*a^11*d*1472i) - (2^(1/2)*A^2*B*a^8*d*(-a^5)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*736i)/(448*A^3*a^11*d + B^3*a^11*d*512i - 1536*A*B^2*a^11*d - A^2*B*a^11*d*1472i))*(A*1i + B)*(-a^5)^(1/2)*4i)/d","B"
86,1,2947,158,8.376900,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\mathrm{atan}\left(\frac{d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2\,a^5}{2\,d^2}-\frac{57\,A^2\,a^5}{8\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{A^3\,a^{14}\,d\,126{}\mathrm{i}-336\,B^3\,a^{14}\,d-A\,B^2\,a^{14}\,d\,1032{}\mathrm{i}+876\,A^2\,B\,a^{14}\,d-A\,a^3\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}+4\,B\,a^3\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}-\frac{A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2\,a^5}{2\,d^2}-\frac{57\,A^2\,a^5}{8\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,14{}\mathrm{i}}{876\,A^2\,B\,a^{11}\,d+4\,B\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}-336\,B^3\,a^{11}\,d+A^3\,a^{11}\,d\,126{}\mathrm{i}-A\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}-A\,B^2\,a^{11}\,d\,1032{}\mathrm{i}}+\frac{B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2\,a^5}{2\,d^2}-\frac{57\,A^2\,a^5}{8\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,56{}\mathrm{i}}{876\,A^2\,B\,a^{11}\,d+4\,B\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}-336\,B^3\,a^{11}\,d+A^3\,a^{11}\,d\,126{}\mathrm{i}-A\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}-A\,B^2\,a^{11}\,d\,1032{}\mathrm{i}}-\frac{88\,A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2\,a^5}{2\,d^2}-\frac{57\,A^2\,a^5}{8\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}}{876\,A^2\,B\,a^{11}\,d+4\,B\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}-336\,B^3\,a^{11}\,d+A^3\,a^{11}\,d\,126{}\mathrm{i}-A\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}-A\,B^2\,a^{11}\,d\,1032{}\mathrm{i}}\right)\,\sqrt{\frac{9\,B^2\,a^5}{2\,d^2}-\frac{57\,A^2\,a^5}{8\,d^2}-\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{57\,A^2\,a^5}{8\,d^2}+\frac{9\,B^2\,a^5}{2\,d^2}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{A^3\,a^{14}\,d\,126{}\mathrm{i}-336\,B^3\,a^{14}\,d-A\,B^2\,a^{14}\,d\,1032{}\mathrm{i}+876\,A^2\,B\,a^{14}\,d+A\,a^3\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}-4\,B\,a^3\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}+\frac{A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{57\,A^2\,a^5}{8\,d^2}+\frac{9\,B^2\,a^5}{2\,d^2}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,14{}\mathrm{i}}{876\,A^2\,B\,a^{11}\,d-4\,B\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}-336\,B^3\,a^{11}\,d+A^3\,a^{11}\,d\,126{}\mathrm{i}+A\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}-A\,B^2\,a^{11}\,d\,1032{}\mathrm{i}}-\frac{B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{57\,A^2\,a^5}{8\,d^2}+\frac{9\,B^2\,a^5}{2\,d^2}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,56{}\mathrm{i}}{876\,A^2\,B\,a^{11}\,d-4\,B\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}-336\,B^3\,a^{11}\,d+A^3\,a^{11}\,d\,126{}\mathrm{i}+A\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}-A\,B^2\,a^{11}\,d\,1032{}\mathrm{i}}+\frac{88\,A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{57\,A^2\,a^5}{8\,d^2}+\frac{9\,B^2\,a^5}{2\,d^2}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}}{876\,A^2\,B\,a^{11}\,d-4\,B\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}-336\,B^3\,a^{11}\,d+A^3\,a^{11}\,d\,126{}\mathrm{i}+A\,d^3\,\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}\,2{}\mathrm{i}-A\,B^2\,a^{11}\,d\,1032{}\mathrm{i}}\right)\,\sqrt{\frac{\sqrt{\frac{49\,A^4\,a^{22}}{d^4}+\frac{784\,B^4\,a^{22}}{d^4}-\frac{2328\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,2464{}\mathrm{i}}{d^4}-\frac{A^3\,B\,a^{22}\,616{}\mathrm{i}}{d^4}}}{8\,a^6}-\frac{57\,A^2\,a^5}{8\,d^2}+\frac{9\,B^2\,a^5}{2\,d^2}+\frac{A\,B\,a^5\,21{}\mathrm{i}}{2\,d^2}}\,2{}\mathrm{i}-\frac{2\,B\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d}-\frac{A\,a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{d\,\mathrm{tan}\left(c+d\,x\right)}","Not used",1,"atan((d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) - (57*A^2*a^5)/(8*d^2) + (9*B^2*a^5)/(2*d^2) + (A*B*a^5*21i)/(2*d^2))^(1/2)*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*6i)/(A^3*a^14*d*126i - 336*B^3*a^14*d - A*B^2*a^14*d*1032i + 876*A^2*B*a^14*d + A*a^3*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i - 4*B*a^3*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)) + (A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) - (57*A^2*a^5)/(8*d^2) + (9*B^2*a^5)/(2*d^2) + (A*B*a^5*21i)/(2*d^2))^(1/2)*14i)/(A^3*a^11*d*126i - 336*B^3*a^11*d + A*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i - 4*B*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2) - A*B^2*a^11*d*1032i + 876*A^2*B*a^11*d) - (B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) - (57*A^2*a^5)/(8*d^2) + (9*B^2*a^5)/(2*d^2) + (A*B*a^5*21i)/(2*d^2))^(1/2)*56i)/(A^3*a^11*d*126i - 336*B^3*a^11*d + A*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i - 4*B*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2) - A*B^2*a^11*d*1032i + 876*A^2*B*a^11*d) + (88*A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) - (57*A^2*a^5)/(8*d^2) + (9*B^2*a^5)/(2*d^2) + (A*B*a^5*21i)/(2*d^2))^(1/2))/(A^3*a^11*d*126i - 336*B^3*a^11*d + A*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i - 4*B*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2) - A*B^2*a^11*d*1032i + 876*A^2*B*a^11*d))*(((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) - (57*A^2*a^5)/(8*d^2) + (9*B^2*a^5)/(2*d^2) + (A*B*a^5*21i)/(2*d^2))^(1/2)*2i - atan((d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2*a^5)/(2*d^2) - (57*A^2*a^5)/(8*d^2) - ((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) + (A*B*a^5*21i)/(2*d^2))^(1/2)*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*6i)/(A^3*a^14*d*126i - 336*B^3*a^14*d - A*B^2*a^14*d*1032i + 876*A^2*B*a^14*d - A*a^3*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i + 4*B*a^3*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)) - (A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2*a^5)/(2*d^2) - (57*A^2*a^5)/(8*d^2) - ((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) + (A*B*a^5*21i)/(2*d^2))^(1/2)*14i)/(A^3*a^11*d*126i - 336*B^3*a^11*d - A*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i + 4*B*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2) - A*B^2*a^11*d*1032i + 876*A^2*B*a^11*d) + (B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2*a^5)/(2*d^2) - (57*A^2*a^5)/(8*d^2) - ((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) + (A*B*a^5*21i)/(2*d^2))^(1/2)*56i)/(A^3*a^11*d*126i - 336*B^3*a^11*d - A*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i + 4*B*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2) - A*B^2*a^11*d*1032i + 876*A^2*B*a^11*d) - (88*A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2*a^5)/(2*d^2) - (57*A^2*a^5)/(8*d^2) - ((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) + (A*B*a^5*21i)/(2*d^2))^(1/2))/(A^3*a^11*d*126i - 336*B^3*a^11*d - A*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)*2i + 4*B*d^3*((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2) - A*B^2*a^11*d*1032i + 876*A^2*B*a^11*d))*((9*B^2*a^5)/(2*d^2) - (57*A^2*a^5)/(8*d^2) - ((49*A^4*a^22)/d^4 + (784*B^4*a^22)/d^4 - (2328*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*2464i)/d^4 - (A^3*B*a^22*616i)/d^4)^(1/2)/(8*a^6) + (A*B*a^5*21i)/(2*d^2))^(1/2)*2i - (2*B*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/d - (A*a^2*(a + a*tan(c + d*x)*1i)^(1/2))/(d*tan(c + d*x))","B"
87,1,2991,173,8.469393,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","2\,\mathrm{atanh}\left(-\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{2\,\left(\frac{663\,A^3\,a^{14}\,d}{16}-B^3\,a^{14}\,d\,252{}\mathrm{i}+507\,A\,B^2\,a^{14}\,d+\frac{A^2\,B\,a^{14}\,d\,861{}\mathrm{i}}{4}-\frac{7\,A\,a^3\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}+\frac{B\,a^3\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}\right)}+\frac{17\,A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}}{4\,\left(\frac{663\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,252{}\mathrm{i}-\frac{7\,A\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}+\frac{B\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}+507\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,861{}\mathrm{i}}{4}\right)}+\frac{28\,B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}}{\frac{663\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,252{}\mathrm{i}-\frac{7\,A\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}+\frac{B\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}+507\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,861{}\mathrm{i}}{4}}+\frac{A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}\,26{}\mathrm{i}}{\frac{663\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,252{}\mathrm{i}-\frac{7\,A\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}+\frac{B\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}+507\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,861{}\mathrm{i}}{4}}\right)\,\sqrt{\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}+2\,\mathrm{atanh}\left(\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{2\,\left(\frac{663\,A^3\,a^{14}\,d}{16}-B^3\,a^{14}\,d\,252{}\mathrm{i}+507\,A\,B^2\,a^{14}\,d+\frac{A^2\,B\,a^{14}\,d\,861{}\mathrm{i}}{4}+\frac{7\,A\,a^3\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}-\frac{B\,a^3\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}\right)}+\frac{17\,A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}}{4\,\left(\frac{663\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,252{}\mathrm{i}+\frac{7\,A\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}-\frac{B\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}+507\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,861{}\mathrm{i}}{4}\right)}+\frac{28\,B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}}{\frac{663\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,252{}\mathrm{i}+\frac{7\,A\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}-\frac{B\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}+507\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,861{}\mathrm{i}}{4}}+\frac{A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}\,26{}\mathrm{i}}{\frac{663\,A^3\,a^{11}\,d}{16}-B^3\,a^{11}\,d\,252{}\mathrm{i}+\frac{7\,A\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{8}-\frac{B\,d^3\,\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}\,1{}\mathrm{i}}{2}+507\,A\,B^2\,a^{11}\,d+\frac{A^2\,B\,a^{11}\,d\,861{}\mathrm{i}}{4}}\right)\,\sqrt{\frac{\sqrt{\frac{289\,A^4\,a^{22}}{4\,d^4}+\frac{3136\,B^4\,a^{22}}{d^4}-\frac{1752\,A^2\,B^2\,a^{22}}{d^4}+\frac{A\,B^3\,a^{22}\,5824{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{22}\,884{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{1041\,A^2\,a^5}{128\,d^2}-\frac{57\,B^2\,a^5}{8\,d^2}-\frac{A\,B\,a^5\,243{}\mathrm{i}}{16\,d^2}}-\frac{\frac{\left(7\,A\,a^4-B\,a^4\,4{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,d}-\frac{\left(9\,A\,a^3-B\,a^3\,4{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2-2\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)+a^2}","Not used",1,"2*atanh((17*A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*A^2*a^5)/(128*d^2) - ((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2))/(4*((663*A^3*a^11*d)/16 - B^3*a^11*d*252i - (7*A*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 + (B*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2 + 507*A*B^2*a^11*d + (A^2*B*a^11*d*861i)/4)) - (3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*A^2*a^5)/(128*d^2) - ((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2)*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/(2*((663*A^3*a^14*d)/16 - B^3*a^14*d*252i + 507*A*B^2*a^14*d + (A^2*B*a^14*d*861i)/4 - (7*A*a^3*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 + (B*a^3*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2)) + (28*B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*A^2*a^5)/(128*d^2) - ((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2))/((663*A^3*a^11*d)/16 - B^3*a^11*d*252i - (7*A*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 + (B*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2 + 507*A*B^2*a^11*d + (A^2*B*a^11*d*861i)/4) + (A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*A^2*a^5)/(128*d^2) - ((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2)*26i)/((663*A^3*a^11*d)/16 - B^3*a^11*d*252i - (7*A*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 + (B*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2 + 507*A*B^2*a^11*d + (A^2*B*a^11*d*861i)/4))*((1041*A^2*a^5)/(128*d^2) - ((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2) + 2*atanh((3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) + (1041*A^2*a^5)/(128*d^2) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2)*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/(2*((663*A^3*a^14*d)/16 - B^3*a^14*d*252i + 507*A*B^2*a^14*d + (A^2*B*a^14*d*861i)/4 + (7*A*a^3*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 - (B*a^3*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2)) + (17*A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) + (1041*A^2*a^5)/(128*d^2) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2))/(4*((663*A^3*a^11*d)/16 - B^3*a^11*d*252i + (7*A*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 - (B*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2 + 507*A*B^2*a^11*d + (A^2*B*a^11*d*861i)/4)) + (28*B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) + (1041*A^2*a^5)/(128*d^2) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2))/((663*A^3*a^11*d)/16 - B^3*a^11*d*252i + (7*A*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 - (B*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2 + 507*A*B^2*a^11*d + (A^2*B*a^11*d*861i)/4) + (A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) + (1041*A^2*a^5)/(128*d^2) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2)*26i)/((663*A^3*a^11*d)/16 - B^3*a^11*d*252i + (7*A*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2))/8 - (B*d^3*((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)*1i)/2 + 507*A*B^2*a^11*d + (A^2*B*a^11*d*861i)/4))*(((289*A^4*a^22)/(4*d^4) + (3136*B^4*a^22)/d^4 - (1752*A^2*B^2*a^22)/d^4 + (A*B^3*a^22*5824i)/d^4 + (A^3*B*a^22*884i)/d^4)^(1/2)/(64*a^6) + (1041*A^2*a^5)/(128*d^2) - (57*B^2*a^5)/(8*d^2) - (A*B*a^5*243i)/(16*d^2))^(1/2) - (((7*A*a^4 - B*a^4*4i)*(a + a*tan(c + d*x)*1i)^(1/2))/(4*d) - ((9*A*a^3 - B*a^3*4i)*(a + a*tan(c + d*x)*1i)^(3/2))/(4*d))/((a + a*tan(c + d*x)*1i)^2 - 2*a*(a + a*tan(c + d*x)*1i) + a^2)","B"
88,1,3048,217,8.466740,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","2\,\mathrm{atanh}\left(-\frac{6\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,B^2\,a^5}{128\,d^2}-\frac{4073\,A^2\,a^5}{512\,d^2}-\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{\frac{A^3\,a^{14}\,d\,1771{}\mathrm{i}}{32}+\frac{663\,B^3\,a^{14}\,d}{4}+\frac{A\,B^2\,a^{14}\,d\,2167{}\mathrm{i}}{8}-\frac{797\,A^2\,B\,a^{14}\,d}{16}-\frac{A\,a^3\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}-\frac{7\,B\,a^3\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}}+\frac{23\,A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,B^2\,a^5}{128\,d^2}-\frac{4073\,A^2\,a^5}{512\,d^2}-\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}}{4\,\left(\frac{663\,B^3\,a^{11}\,d}{4}-\frac{7\,B\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}-\frac{797\,A^2\,B\,a^{11}\,d}{16}+\frac{A^3\,a^{11}\,d\,1771{}\mathrm{i}}{32}-\frac{A\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}+\frac{A\,B^2\,a^{11}\,d\,2167{}\mathrm{i}}{8}\right)}+\frac{17\,B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,B^2\,a^5}{128\,d^2}-\frac{4073\,A^2\,a^5}{512\,d^2}-\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}}{\frac{663\,B^3\,a^{11}\,d}{4}-\frac{7\,B\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}-\frac{797\,A^2\,B\,a^{11}\,d}{16}+\frac{A^3\,a^{11}\,d\,1771{}\mathrm{i}}{32}-\frac{A\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}+\frac{A\,B^2\,a^{11}\,d\,2167{}\mathrm{i}}{8}}+\frac{A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{1041\,B^2\,a^5}{128\,d^2}-\frac{4073\,A^2\,a^5}{512\,d^2}-\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}\,11{}\mathrm{i}}{\frac{663\,B^3\,a^{11}\,d}{4}-\frac{7\,B\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}-\frac{797\,A^2\,B\,a^{11}\,d}{16}+\frac{A^3\,a^{11}\,d\,1771{}\mathrm{i}}{32}-\frac{A\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}+\frac{A\,B^2\,a^{11}\,d\,2167{}\mathrm{i}}{8}}\right)\,\sqrt{\frac{1041\,B^2\,a^5}{128\,d^2}-\frac{4073\,A^2\,a^5}{512\,d^2}-\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}+2\,\mathrm{atanh}\left(\frac{6\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{4073\,A^2\,a^5}{512\,d^2}+\frac{1041\,B^2\,a^5}{128\,d^2}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{\frac{A^3\,a^{14}\,d\,1771{}\mathrm{i}}{32}+\frac{663\,B^3\,a^{14}\,d}{4}+\frac{A\,B^2\,a^{14}\,d\,2167{}\mathrm{i}}{8}-\frac{797\,A^2\,B\,a^{14}\,d}{16}+\frac{A\,a^3\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}+\frac{7\,B\,a^3\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}}+\frac{23\,A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{4073\,A^2\,a^5}{512\,d^2}+\frac{1041\,B^2\,a^5}{128\,d^2}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}}{4\,\left(\frac{663\,B^3\,a^{11}\,d}{4}+\frac{7\,B\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}-\frac{797\,A^2\,B\,a^{11}\,d}{16}+\frac{A^3\,a^{11}\,d\,1771{}\mathrm{i}}{32}+\frac{A\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}+\frac{A\,B^2\,a^{11}\,d\,2167{}\mathrm{i}}{8}\right)}+\frac{17\,B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{4073\,A^2\,a^5}{512\,d^2}+\frac{1041\,B^2\,a^5}{128\,d^2}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}}{\frac{663\,B^3\,a^{11}\,d}{4}+\frac{7\,B\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}-\frac{797\,A^2\,B\,a^{11}\,d}{16}+\frac{A^3\,a^{11}\,d\,1771{}\mathrm{i}}{32}+\frac{A\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}+\frac{A\,B^2\,a^{11}\,d\,2167{}\mathrm{i}}{8}}+\frac{A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{4073\,A^2\,a^5}{512\,d^2}+\frac{1041\,B^2\,a^5}{128\,d^2}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}\,11{}\mathrm{i}}{\frac{663\,B^3\,a^{11}\,d}{4}+\frac{7\,B\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{2}-\frac{797\,A^2\,B\,a^{11}\,d}{16}+\frac{A^3\,a^{11}\,d\,1771{}\mathrm{i}}{32}+\frac{A\,d^3\,\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}\,13{}\mathrm{i}}{4}+\frac{A\,B^2\,a^{11}\,d\,2167{}\mathrm{i}}{8}}\right)\,\sqrt{\frac{\sqrt{\frac{529\,A^4\,a^{22}}{64\,d^4}+\frac{289\,B^4\,a^{22}}{4\,d^4}+\frac{149\,A^2\,B^2\,a^{22}}{8\,d^4}+\frac{A\,B^3\,a^{22}\,187{}\mathrm{i}}{2\,d^4}+\frac{A^3\,B\,a^{22}\,253{}\mathrm{i}}{8\,d^4}}}{64\,a^6}-\frac{4073\,A^2\,a^5}{512\,d^2}+\frac{1041\,B^2\,a^5}{128\,d^2}+\frac{A\,B\,a^5\,2059{}\mathrm{i}}{128\,d^2}}-\frac{-\frac{\left(11\,A\,a^4-B\,a^4\,12{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,1{}\mathrm{i}}{3\,d}+\frac{\left(13\,A\,a^5-B\,a^5\,14{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{8\,d}+\frac{\left(19\,A\,a^3-B\,a^3\,18{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,1{}\mathrm{i}}{8\,d}}{3\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2-3\,a^2\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3+a^3}","Not used",1,"2*atanh((23*A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*B^2*a^5)/(128*d^2) - (4073*A^2*a^5)/(512*d^2) - ((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^5*2059i)/(128*d^2))^(1/2))/(4*((A^3*a^11*d*1771i)/32 + (663*B^3*a^11*d)/4 - (A*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 - (7*B*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2 + (A*B^2*a^11*d*2167i)/8 - (797*A^2*B*a^11*d)/16)) - (6*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*B^2*a^5)/(128*d^2) - (4073*A^2*a^5)/(512*d^2) - ((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^5*2059i)/(128*d^2))^(1/2)*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/((A^3*a^14*d*1771i)/32 + (663*B^3*a^14*d)/4 + (A*B^2*a^14*d*2167i)/8 - (797*A^2*B*a^14*d)/16 - (A*a^3*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 - (7*B*a^3*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2) + (17*B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*B^2*a^5)/(128*d^2) - (4073*A^2*a^5)/(512*d^2) - ((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^5*2059i)/(128*d^2))^(1/2))/((A^3*a^11*d*1771i)/32 + (663*B^3*a^11*d)/4 - (A*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 - (7*B*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2 + (A*B^2*a^11*d*2167i)/8 - (797*A^2*B*a^11*d)/16) + (A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((1041*B^2*a^5)/(128*d^2) - (4073*A^2*a^5)/(512*d^2) - ((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^5*2059i)/(128*d^2))^(1/2)*11i)/((A^3*a^11*d*1771i)/32 + (663*B^3*a^11*d)/4 - (A*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 - (7*B*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2 + (A*B^2*a^11*d*2167i)/8 - (797*A^2*B*a^11*d)/16))*((1041*B^2*a^5)/(128*d^2) - (4073*A^2*a^5)/(512*d^2) - ((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) + (A*B*a^5*2059i)/(128*d^2))^(1/2) + 2*atanh((6*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) - (4073*A^2*a^5)/(512*d^2) + (1041*B^2*a^5)/(128*d^2) + (A*B*a^5*2059i)/(128*d^2))^(1/2)*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/((A^3*a^14*d*1771i)/32 + (663*B^3*a^14*d)/4 + (A*B^2*a^14*d*2167i)/8 - (797*A^2*B*a^14*d)/16 + (A*a^3*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 + (7*B*a^3*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2) + (23*A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) - (4073*A^2*a^5)/(512*d^2) + (1041*B^2*a^5)/(128*d^2) + (A*B*a^5*2059i)/(128*d^2))^(1/2))/(4*((A^3*a^11*d*1771i)/32 + (663*B^3*a^11*d)/4 + (A*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 + (7*B*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2 + (A*B^2*a^11*d*2167i)/8 - (797*A^2*B*a^11*d)/16)) + (17*B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) - (4073*A^2*a^5)/(512*d^2) + (1041*B^2*a^5)/(128*d^2) + (A*B*a^5*2059i)/(128*d^2))^(1/2))/((A^3*a^11*d*1771i)/32 + (663*B^3*a^11*d)/4 + (A*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 + (7*B*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2 + (A*B^2*a^11*d*2167i)/8 - (797*A^2*B*a^11*d)/16) + (A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) - (4073*A^2*a^5)/(512*d^2) + (1041*B^2*a^5)/(128*d^2) + (A*B*a^5*2059i)/(128*d^2))^(1/2)*11i)/((A^3*a^11*d*1771i)/32 + (663*B^3*a^11*d)/4 + (A*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)*13i)/4 + (7*B*d^3*((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2))/2 + (A*B^2*a^11*d*2167i)/8 - (797*A^2*B*a^11*d)/16))*(((529*A^4*a^22)/(64*d^4) + (289*B^4*a^22)/(4*d^4) + (149*A^2*B^2*a^22)/(8*d^4) + (A*B^3*a^22*187i)/(2*d^4) + (A^3*B*a^22*253i)/(8*d^4))^(1/2)/(64*a^6) - (4073*A^2*a^5)/(512*d^2) + (1041*B^2*a^5)/(128*d^2) + (A*B*a^5*2059i)/(128*d^2))^(1/2) - (((13*A*a^5 - B*a^5*14i)*(a + a*tan(c + d*x)*1i)^(1/2)*1i)/(8*d) - ((11*A*a^4 - B*a^4*12i)*(a + a*tan(c + d*x)*1i)^(3/2)*1i)/(3*d) + ((19*A*a^3 - B*a^3*18i)*(a + a*tan(c + d*x)*1i)^(5/2)*1i)/(8*d))/(3*a*(a + a*tan(c + d*x)*1i)^2 - 3*a^2*(a + a*tan(c + d*x)*1i) - (a + a*tan(c + d*x)*1i)^3 + a^3)","B"
89,1,3094,261,8.590674,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","-2\,\mathrm{atanh}\left(-\frac{384\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{\frac{431443\,A^3\,a^{14}\,d}{256}-B^3\,a^{14}\,d\,3542{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{14}\,d}{4}+\frac{A^2\,B\,a^{14}\,d\,6993{}\mathrm{i}}{32}-214\,A\,a^3\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}+B\,a^3\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}}+\frac{697\,A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}}{4\,\left(\frac{431443\,A^3\,a^{11}\,d}{256}-B^3\,a^{11}\,d\,3542{}\mathrm{i}-214\,A\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}+B\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{11}\,d}{4}+\frac{A^2\,B\,a^{11}\,d\,6993{}\mathrm{i}}{32}\right)}+\frac{368\,B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}}{\frac{431443\,A^3\,a^{11}\,d}{256}-B^3\,a^{11}\,d\,3542{}\mathrm{i}-214\,A\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}+B\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{11}\,d}{4}+\frac{A^2\,B\,a^{11}\,d\,6993{}\mathrm{i}}{32}}+\frac{A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}\,196{}\mathrm{i}}{\frac{431443\,A^3\,a^{11}\,d}{256}-B^3\,a^{11}\,d\,3542{}\mathrm{i}-214\,A\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}+B\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{11}\,d}{4}+\frac{A^2\,B\,a^{11}\,d\,6993{}\mathrm{i}}{32}}\right)\,\sqrt{\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}-2\,\mathrm{atanh}\left(\frac{384\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}+\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{\frac{431443\,A^3\,a^{14}\,d}{256}-B^3\,a^{14}\,d\,3542{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{14}\,d}{4}+\frac{A^2\,B\,a^{14}\,d\,6993{}\mathrm{i}}{32}+214\,A\,a^3\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}-B\,a^3\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}}+\frac{697\,A^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}+\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}}{4\,\left(\frac{431443\,A^3\,a^{11}\,d}{256}-B^3\,a^{11}\,d\,3542{}\mathrm{i}+214\,A\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}-B\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{11}\,d}{4}+\frac{A^2\,B\,a^{11}\,d\,6993{}\mathrm{i}}{32}\right)}+\frac{368\,B^2\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}+\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}}{\frac{431443\,A^3\,a^{11}\,d}{256}-B^3\,a^{11}\,d\,3542{}\mathrm{i}+214\,A\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}-B\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{11}\,d}{4}+\frac{A^2\,B\,a^{11}\,d\,6993{}\mathrm{i}}{32}}+\frac{A\,B\,a^8\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}+\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}\,196{}\mathrm{i}}{\frac{431443\,A^3\,a^{11}\,d}{256}-B^3\,a^{11}\,d\,3542{}\mathrm{i}+214\,A\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}-B\,d^3\,\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}\,208{}\mathrm{i}+\frac{21783\,A\,B^2\,a^{11}\,d}{4}+\frac{A^2\,B\,a^{11}\,d\,6993{}\mathrm{i}}{32}}\right)\,\sqrt{\frac{\sqrt{\frac{485809\,A^4\,a^{22}}{262144\,d^4}+\frac{529\,B^4\,a^{22}}{64\,d^4}+\frac{11229\,A^2\,B^2\,a^{22}}{2048\,d^4}+\frac{A\,B^3\,a^{22}\,1127{}\mathrm{i}}{128\,d^4}+\frac{A^3\,B\,a^{22}\,34153{}\mathrm{i}}{8192\,d^4}}}{64\,a^6}+\frac{262841\,A^2\,a^5}{32768\,d^2}-\frac{4073\,B^2\,a^5}{512\,d^2}-\frac{A\,B\,a^5\,32719{}\mathrm{i}}{2048\,d^2}}+\frac{\frac{\left(107\,A\,a^6-B\,a^6\,104{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{64\,d}-\frac{\left(149\,A\,a^3-B\,a^3\,152{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{64\,d}-\frac{\left(1049\,A\,a^5-B\,a^5\,1016{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{192\,d}+\frac{\left(1127\,A\,a^4-B\,a^4\,1160{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{192\,d}}{a^4-4\,a^3\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)+{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4+6\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2-4\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"(((107*A*a^6 - B*a^6*104i)*(a + a*tan(c + d*x)*1i)^(1/2))/(64*d) - ((149*A*a^3 - B*a^3*152i)*(a + a*tan(c + d*x)*1i)^(7/2))/(64*d) - ((1049*A*a^5 - B*a^5*1016i)*(a + a*tan(c + d*x)*1i)^(3/2))/(192*d) + ((1127*A*a^4 - B*a^4*1160i)*(a + a*tan(c + d*x)*1i)^(5/2))/(192*d))/((a + a*tan(c + d*x)*1i)^4 - 4*a^3*(a + a*tan(c + d*x)*1i) - 4*a*(a + a*tan(c + d*x)*1i)^3 + 6*a^2*(a + a*tan(c + d*x)*1i)^2 + a^4) - 2*atanh((384*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) + (262841*A^2*a^5)/(32768*d^2) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2)*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2))/((431443*A^3*a^14*d)/256 - B^3*a^14*d*3542i + (21783*A*B^2*a^14*d)/4 + (A^2*B*a^14*d*6993i)/32 + 214*A*a^3*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) - B*a^3*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i) + (697*A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) + (262841*A^2*a^5)/(32768*d^2) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2))/(4*((431443*A^3*a^11*d)/256 - B^3*a^11*d*3542i + 214*A*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) - B*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i + (21783*A*B^2*a^11*d)/4 + (A^2*B*a^11*d*6993i)/32)) + (368*B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) + (262841*A^2*a^5)/(32768*d^2) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2))/((431443*A^3*a^11*d)/256 - B^3*a^11*d*3542i + 214*A*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) - B*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i + (21783*A*B^2*a^11*d)/4 + (A^2*B*a^11*d*6993i)/32) + (A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) + (262841*A^2*a^5)/(32768*d^2) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2)*196i)/((431443*A^3*a^11*d)/256 - B^3*a^11*d*3542i + 214*A*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) - B*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i + (21783*A*B^2*a^11*d)/4 + (A^2*B*a^11*d*6993i)/32))*(((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) + (262841*A^2*a^5)/(32768*d^2) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2) - 2*atanh((697*A^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((262841*A^2*a^5)/(32768*d^2) - ((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2))/(4*((431443*A^3*a^11*d)/256 - B^3*a^11*d*3542i - 214*A*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) + B*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i + (21783*A*B^2*a^11*d)/4 + (A^2*B*a^11*d*6993i)/32)) - (384*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((262841*A^2*a^5)/(32768*d^2) - ((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2)*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2))/((431443*A^3*a^14*d)/256 - B^3*a^14*d*3542i + (21783*A*B^2*a^14*d)/4 + (A^2*B*a^14*d*6993i)/32 - 214*A*a^3*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) + B*a^3*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i) + (368*B^2*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((262841*A^2*a^5)/(32768*d^2) - ((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2))/((431443*A^3*a^11*d)/256 - B^3*a^11*d*3542i - 214*A*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) + B*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i + (21783*A*B^2*a^11*d)/4 + (A^2*B*a^11*d*6993i)/32) + (A*B*a^8*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((262841*A^2*a^5)/(32768*d^2) - ((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2)*196i)/((431443*A^3*a^11*d)/256 - B^3*a^11*d*3542i - 214*A*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2) + B*d^3*((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)*208i + (21783*A*B^2*a^11*d)/4 + (A^2*B*a^11*d*6993i)/32))*((262841*A^2*a^5)/(32768*d^2) - ((485809*A^4*a^22)/(262144*d^4) + (529*B^4*a^22)/(64*d^4) + (11229*A^2*B^2*a^22)/(2048*d^4) + (A*B^3*a^22*1127i)/(128*d^4) + (A^3*B*a^22*34153i)/(8192*d^4))^(1/2)/(64*a^6) - (4073*B^2*a^5)/(512*d^2) - (A*B*a^5*32719i)/(2048*d^2))^(1/2)","B"
90,1,236,205,7.952970,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{A}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{B\,1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{2\,A\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a\,d}-\frac{2\,A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^2\,d}+\frac{B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{a\,d}-\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,4{}\mathrm{i}}{3\,a^2\,d}+\frac{B\,{\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}\,B\,\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}-\frac{\sqrt{2}\,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}}{2\,\sqrt{a}\,d}","Not used",1,"A/(d*(a + a*tan(c + d*x)*1i)^(1/2)) + (B*1i)/(d*(a + a*tan(c + d*x)*1i)^(1/2)) + (2*A*(a + a*tan(c + d*x)*1i)^(1/2))/(a*d) - (2*A*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a^2*d) + (B*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/(a*d) - (B*(a + a*tan(c + d*x)*1i)^(3/2)*4i)/(3*a^2*d) + (B*(a + a*tan(c + d*x)*1i)^(5/2)*2i)/(5*a^3*d) + (2^(1/2)*B*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d) - (2^(1/2)*A*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"
91,1,188,159,7.665721,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{A\,1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{B}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{A\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a\,d}+\frac{2\,B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a\,d}-\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^2\,d}-\frac{\sqrt{2}\,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}}{2\,\sqrt{-a}\,d}-\frac{\sqrt{2}\,B\,\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,"B/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (A*1i)/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (A*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/(a*d) + (2*B*(a + a*tan(c + d*x)*1i)^(1/2))/(a*d) - (2*B*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a^2*d) - (2^(1/2)*A*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d) - (2^(1/2)*B*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"
92,1,141,109,7.382909,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{A}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{B\,1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a\,d}-\frac{\sqrt{2}\,B\,\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}-\frac{\sqrt{2}\,A\,\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,"- A/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (B*1i)/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (B*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/(a*d) - (2^(1/2)*B*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d) - (2^(1/2)*A*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(2*a^(1/2)*d)","B"
93,1,117,82,0.755003,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{A\,1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{B}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}+\frac{\sqrt{2}\,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}}{2\,\sqrt{-a}\,d}-\frac{\sqrt{2}\,B\,\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,"(A*1i)/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - B/(d*(a + a*tan(c + d*x)*1i)^(1/2)) + (2^(1/2)*A*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(2*(-a)^(1/2)*d) - (2^(1/2)*B*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(2*a^(1/2)*d)","B"
94,1,515,114,7.137492,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{A+B\,1{}\mathrm{i}}{d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}-\frac{2\,A\,\mathrm{atanh}\left(\frac{28\,A^3\,a^{3/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{28\,d\,A^3\,a^2+8{}\mathrm{i}\,d\,A^2\,B\,a^2+4\,d\,A\,B^2\,a^2}+\frac{4\,A\,B^2\,a^{3/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{28\,d\,A^3\,a^2+8{}\mathrm{i}\,d\,A^2\,B\,a^2+4\,d\,A\,B^2\,a^2}+\frac{A^2\,B\,a^{3/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}}{28\,d\,A^3\,a^2+8{}\mathrm{i}\,d\,A^2\,B\,a^2+4\,d\,A\,B^2\,a^2}\right)}{\sqrt{a}\,d}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,A^3\,{\left(-a\right)}^{3/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,7{}\mathrm{i}}{2\,\left(7\,d\,A^3\,a^2-5{}\mathrm{i}\,d\,A^2\,B\,a^2+3\,d\,A\,B^2\,a^2-1{}\mathrm{i}\,d\,B^3\,a^2\right)}+\frac{\sqrt{2}\,B^3\,{\left(-a\right)}^{3/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\left(7\,d\,A^3\,a^2-5{}\mathrm{i}\,d\,A^2\,B\,a^2+3\,d\,A\,B^2\,a^2-1{}\mathrm{i}\,d\,B^3\,a^2\right)}+\frac{\sqrt{2}\,A\,B^2\,{\left(-a\right)}^{3/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,3{}\mathrm{i}}{2\,\left(7\,d\,A^3\,a^2-5{}\mathrm{i}\,d\,A^2\,B\,a^2+3\,d\,A\,B^2\,a^2-1{}\mathrm{i}\,d\,B^3\,a^2\right)}+\frac{5\,\sqrt{2}\,A^2\,B\,{\left(-a\right)}^{3/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{2\,\left(7\,d\,A^3\,a^2-5{}\mathrm{i}\,d\,A^2\,B\,a^2+3\,d\,A\,B^2\,a^2-1{}\mathrm{i}\,d\,B^3\,a^2\right)}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{2\,\sqrt{-a}\,d}","Not used",1,"(A + B*1i)/(d*(a + a*tan(c + d*x)*1i)^(1/2)) - (2*A*atanh((28*A^3*a^(3/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(28*A^3*a^2*d + 4*A*B^2*a^2*d + A^2*B*a^2*d*8i) + (4*A*B^2*a^(3/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(28*A^3*a^2*d + 4*A*B^2*a^2*d + A^2*B*a^2*d*8i) + (A^2*B*a^(3/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*8i)/(28*A^3*a^2*d + 4*A*B^2*a^2*d + A^2*B*a^2*d*8i)))/(a^(1/2)*d) + (2^(1/2)*atanh((2^(1/2)*A^3*(-a)^(3/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*7i)/(2*(7*A^3*a^2*d - B^3*a^2*d*1i + 3*A*B^2*a^2*d - A^2*B*a^2*d*5i)) + (2^(1/2)*B^3*(-a)^(3/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(7*A^3*a^2*d - B^3*a^2*d*1i + 3*A*B^2*a^2*d - A^2*B*a^2*d*5i)) + (2^(1/2)*A*B^2*(-a)^(3/2)*d*(a + a*tan(c + d*x)*1i)^(1/2)*3i)/(2*(7*A^3*a^2*d - B^3*a^2*d*1i + 3*A*B^2*a^2*d - A^2*B*a^2*d*5i)) + (5*2^(1/2)*A^2*B*(-a)^(3/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(7*A^3*a^2*d - B^3*a^2*d*1i + 3*A*B^2*a^2*d - A^2*B*a^2*d*5i)))*(A*1i + B))/(2*(-a)^(1/2)*d)","B"
95,1,2961,167,8.620843,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","2\,\mathrm{atanh}\left(\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2}{16\,a\,d^2}-\frac{3\,A^2}{16\,a\,d^2}-\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{\frac{35\,B^3\,a^5\,d}{2}-\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2}-\frac{15\,A^2\,B\,a^5\,d}{2}+\frac{A^3\,a^5\,d\,1{}\mathrm{i}}{2}+\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2}-\frac{A\,B^2\,a^5\,d\,57{}\mathrm{i}}{2}}+\frac{A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2}{16\,a\,d^2}-\frac{3\,A^2}{16\,a\,d^2}-\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}}{\frac{A^3\,a^2\,d\,1{}\mathrm{i}}{2}+\frac{35\,B^3\,a^2\,d}{2}-\frac{A\,B^2\,a^2\,d\,57{}\mathrm{i}}{2}-\frac{15\,A^2\,B\,a^2\,d}{2}+\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2\,a^3}-\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2\,a^3}}-\frac{7\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2}{16\,a\,d^2}-\frac{3\,A^2}{16\,a\,d^2}-\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}}{\frac{A^3\,a^2\,d\,1{}\mathrm{i}}{2}+\frac{35\,B^3\,a^2\,d}{2}-\frac{A\,B^2\,a^2\,d\,57{}\mathrm{i}}{2}-\frac{15\,A^2\,B\,a^2\,d}{2}+\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2\,a^3}-\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2\,a^3}}+\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{9\,B^2}{16\,a\,d^2}-\frac{3\,A^2}{16\,a\,d^2}-\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}\,10{}\mathrm{i}}{\frac{A^3\,a^2\,d\,1{}\mathrm{i}}{2}+\frac{35\,B^3\,a^2\,d}{2}-\frac{A\,B^2\,a^2\,d\,57{}\mathrm{i}}{2}-\frac{15\,A^2\,B\,a^2\,d}{2}+\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2\,a^3}-\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2\,a^3}}\right)\,\sqrt{\frac{9\,B^2}{16\,a\,d^2}-\frac{3\,A^2}{16\,a\,d^2}-\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}-2\,\mathrm{atanh}\left(\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{3\,A^2}{16\,a\,d^2}+\frac{9\,B^2}{16\,a\,d^2}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{\frac{35\,B^3\,a^5\,d}{2}+\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2}-\frac{15\,A^2\,B\,a^5\,d}{2}+\frac{A^3\,a^5\,d\,1{}\mathrm{i}}{2}-\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2}-\frac{A\,B^2\,a^5\,d\,57{}\mathrm{i}}{2}}-\frac{A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{3\,A^2}{16\,a\,d^2}+\frac{9\,B^2}{16\,a\,d^2}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}}{\frac{A^3\,a^2\,d\,1{}\mathrm{i}}{2}+\frac{35\,B^3\,a^2\,d}{2}-\frac{A\,B^2\,a^2\,d\,57{}\mathrm{i}}{2}-\frac{15\,A^2\,B\,a^2\,d}{2}-\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2\,a^3}+\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2\,a^3}}+\frac{7\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{3\,A^2}{16\,a\,d^2}+\frac{9\,B^2}{16\,a\,d^2}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}}{\frac{A^3\,a^2\,d\,1{}\mathrm{i}}{2}+\frac{35\,B^3\,a^2\,d}{2}-\frac{A\,B^2\,a^2\,d\,57{}\mathrm{i}}{2}-\frac{15\,A^2\,B\,a^2\,d}{2}-\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2\,a^3}+\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2\,a^3}}-\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{3\,A^2}{16\,a\,d^2}+\frac{9\,B^2}{16\,a\,d^2}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}\,10{}\mathrm{i}}{\frac{A^3\,a^2\,d\,1{}\mathrm{i}}{2}+\frac{35\,B^3\,a^2\,d}{2}-\frac{A\,B^2\,a^2\,d\,57{}\mathrm{i}}{2}-\frac{15\,A^2\,B\,a^2\,d}{2}-\frac{A\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}\,3{}\mathrm{i}}{2\,a^3}+\frac{3\,B\,d^3\,\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{2\,a^3}}\right)\,\sqrt{\frac{\sqrt{\frac{A^4\,a^{10}}{d^4}+\frac{49\,B^4\,a^{10}}{d^4}-\frac{114\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,140{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,20{}\mathrm{i}}{d^4}}}{16\,a^6}-\frac{3\,A^2}{16\,a\,d^2}+\frac{9\,B^2}{16\,a\,d^2}-\frac{A\,B\,3{}\mathrm{i}}{8\,a\,d^2}}-\frac{\frac{\left(A\,a+B\,a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d}-\frac{\left(2\,A+B\,1{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,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}}","Not used",1,"2*atanh((3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2)/(16*a*d^2) - (3*A^2)/(16*a*d^2) - ((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (A*B*3i)/(8*a*d^2))^(1/2)*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/((A^3*a^5*d*1i)/2 + (35*B^3*a^5*d)/2 + (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/2 - (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/2 - (A*B^2*a^5*d*57i)/2 - (15*A^2*B*a^5*d)/2) + (A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2)/(16*a*d^2) - (3*A^2)/(16*a*d^2) - ((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (A*B*3i)/(8*a*d^2))^(1/2))/((A^3*a^2*d*1i)/2 + (35*B^3*a^2*d)/2 - (A*B^2*a^2*d*57i)/2 - (15*A^2*B*a^2*d)/2 + (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/(2*a^3) - (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/(2*a^3)) - (7*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2)/(16*a*d^2) - (3*A^2)/(16*a*d^2) - ((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (A*B*3i)/(8*a*d^2))^(1/2))/((A^3*a^2*d*1i)/2 + (35*B^3*a^2*d)/2 - (A*B^2*a^2*d*57i)/2 - (15*A^2*B*a^2*d)/2 + (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/(2*a^3) - (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/(2*a^3)) + (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((9*B^2)/(16*a*d^2) - (3*A^2)/(16*a*d^2) - ((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (A*B*3i)/(8*a*d^2))^(1/2)*10i)/((A^3*a^2*d*1i)/2 + (35*B^3*a^2*d)/2 - (A*B^2*a^2*d*57i)/2 - (15*A^2*B*a^2*d)/2 + (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/(2*a^3) - (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/(2*a^3)))*((9*B^2)/(16*a*d^2) - (3*A^2)/(16*a*d^2) - ((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (A*B*3i)/(8*a*d^2))^(1/2) - 2*atanh((3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (3*A^2)/(16*a*d^2) + (9*B^2)/(16*a*d^2) - (A*B*3i)/(8*a*d^2))^(1/2)*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/((A^3*a^5*d*1i)/2 + (35*B^3*a^5*d)/2 - (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/2 + (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/2 - (A*B^2*a^5*d*57i)/2 - (15*A^2*B*a^5*d)/2) - (A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (3*A^2)/(16*a*d^2) + (9*B^2)/(16*a*d^2) - (A*B*3i)/(8*a*d^2))^(1/2))/((A^3*a^2*d*1i)/2 + (35*B^3*a^2*d)/2 - (A*B^2*a^2*d*57i)/2 - (15*A^2*B*a^2*d)/2 - (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/(2*a^3) + (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/(2*a^3)) + (7*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (3*A^2)/(16*a*d^2) + (9*B^2)/(16*a*d^2) - (A*B*3i)/(8*a*d^2))^(1/2))/((A^3*a^2*d*1i)/2 + (35*B^3*a^2*d)/2 - (A*B^2*a^2*d*57i)/2 - (15*A^2*B*a^2*d)/2 - (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/(2*a^3) + (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/(2*a^3)) - (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (3*A^2)/(16*a*d^2) + (9*B^2)/(16*a*d^2) - (A*B*3i)/(8*a*d^2))^(1/2)*10i)/((A^3*a^2*d*1i)/2 + (35*B^3*a^2*d)/2 - (A*B^2*a^2*d*57i)/2 - (15*A^2*B*a^2*d)/2 - (A*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)*3i)/(2*a^3) + (3*B*d^3*((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2))/(2*a^3)))*(((A^4*a^10)/d^4 + (49*B^4*a^10)/d^4 - (114*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*140i)/d^4 + (A^3*B*a^10*20i)/d^4)^(1/2)/(16*a^6) - (3*A^2)/(16*a*d^2) + (9*B^2)/(16*a*d^2) - (A*B*3i)/(8*a*d^2))^(1/2) - (((A*a + B*a*1i)*1i)/d - ((2*A + B*1i)*(a + a*tan(c + d*x)*1i)*1i)/d)/(a*(a + a*tan(c + d*x)*1i)^(1/2) - (a + a*tan(c + d*x)*1i)^(3/2))","B"
96,1,3037,219,8.653993,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","2\,\mathrm{atanh}\left(\frac{12\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,A^2}{128\,a\,d^2}-\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{156\,A\,B^2\,a^5\,d+B^3\,a^5\,d\,8{}\mathrm{i}+9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}+B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}-\frac{1469\,A^3\,a^5\,d}{2}-A^2\,B\,a^5\,d\,789{}\mathrm{i}}-\frac{226\,A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,A^2}{128\,a\,d^2}-\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}}{156\,A\,B^2\,a^2\,d+B^3\,a^2\,d\,8{}\mathrm{i}-\frac{1469\,A^3\,a^2\,d}{2}-A^2\,B\,a^2\,d\,789{}\mathrm{i}+\frac{9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{a^3}+\frac{B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{a^3}}+\frac{16\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,A^2}{128\,a\,d^2}-\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}}{156\,A\,B^2\,a^2\,d+B^3\,a^2\,d\,8{}\mathrm{i}-\frac{1469\,A^3\,a^2\,d}{2}-A^2\,B\,a^2\,d\,789{}\mathrm{i}+\frac{9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{a^3}+\frac{B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{a^3}}-\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,A^2}{128\,a\,d^2}-\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}\,208{}\mathrm{i}}{156\,A\,B^2\,a^2\,d+B^3\,a^2\,d\,8{}\mathrm{i}-\frac{1469\,A^3\,a^2\,d}{2}-A^2\,B\,a^2\,d\,789{}\mathrm{i}+\frac{9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{a^3}+\frac{B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{a^3}}\right)\,\sqrt{\frac{129\,A^2}{128\,a\,d^2}-\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}+2\,\mathrm{atanh}\left(\frac{12\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{129\,A^2}{128\,a\,d^2}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{\frac{1469\,A^3\,a^5\,d}{2}-B^3\,a^5\,d\,8{}\mathrm{i}+9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}+B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}-156\,A\,B^2\,a^5\,d+A^2\,B\,a^5\,d\,789{}\mathrm{i}}+\frac{226\,A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{129\,A^2}{128\,a\,d^2}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}}{\frac{1469\,A^3\,a^2\,d}{2}-B^3\,a^2\,d\,8{}\mathrm{i}-156\,A\,B^2\,a^2\,d+A^2\,B\,a^2\,d\,789{}\mathrm{i}+\frac{9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{a^3}+\frac{B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{a^3}}-\frac{16\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{129\,A^2}{128\,a\,d^2}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}}{\frac{1469\,A^3\,a^2\,d}{2}-B^3\,a^2\,d\,8{}\mathrm{i}-156\,A\,B^2\,a^2\,d+A^2\,B\,a^2\,d\,789{}\mathrm{i}+\frac{9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{a^3}+\frac{B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{a^3}}+\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{129\,A^2}{128\,a\,d^2}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}\,208{}\mathrm{i}}{\frac{1469\,A^3\,a^2\,d}{2}-B^3\,a^2\,d\,8{}\mathrm{i}-156\,A\,B^2\,a^2\,d+A^2\,B\,a^2\,d\,789{}\mathrm{i}+\frac{9\,A\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{a^3}+\frac{B\,d^3\,\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}\,6{}\mathrm{i}}{a^3}}\right)\,\sqrt{\frac{\sqrt{\frac{12769\,A^4\,a^{10}}{4\,d^4}+\frac{16\,B^4\,a^{10}}{d^4}-\frac{3156\,A^2\,B^2\,a^{10}}{d^4}-\frac{A\,B^3\,a^{10}\,416{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^{10}\,5876{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{129\,A^2}{128\,a\,d^2}-\frac{3\,B^2}{16\,a\,d^2}+\frac{A\,B\,9{}\mathrm{i}}{16\,a\,d^2}}-\frac{\frac{A\,a^2+B\,a^2\,1{}\mathrm{i}}{d}+\frac{\left(7\,A+B\,8{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4\,d}-\frac{\left(13\,A\,a+B\,a\,12{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{4\,d}}{-2\,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}+a^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}","Not used",1,"2*atanh((12*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((129*A^2)/(128*a*d^2) - ((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2)*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/(B^3*a^5*d*8i - (1469*A^3*a^5*d)/2 + 9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2) + B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i + 156*A*B^2*a^5*d - A^2*B*a^5*d*789i) - (226*A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((129*A^2)/(128*a*d^2) - ((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2))/(B^3*a^2*d*8i - (1469*A^3*a^2*d)/2 + 156*A*B^2*a^2*d - A^2*B*a^2*d*789i + (9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/a^3 + (B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i)/a^3) + (16*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((129*A^2)/(128*a*d^2) - ((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2))/(B^3*a^2*d*8i - (1469*A^3*a^2*d)/2 + 156*A*B^2*a^2*d - A^2*B*a^2*d*789i + (9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/a^3 + (B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i)/a^3) - (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((129*A^2)/(128*a*d^2) - ((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2)*208i)/(B^3*a^2*d*8i - (1469*A^3*a^2*d)/2 + 156*A*B^2*a^2*d - A^2*B*a^2*d*789i + (9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/a^3 + (B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i)/a^3))*((129*A^2)/(128*a*d^2) - ((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2) + 2*atanh((12*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) + (129*A^2)/(128*a*d^2) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2)*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/((1469*A^3*a^5*d)/2 - B^3*a^5*d*8i + 9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2) + B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i - 156*A*B^2*a^5*d + A^2*B*a^5*d*789i) + (226*A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) + (129*A^2)/(128*a*d^2) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2))/((1469*A^3*a^2*d)/2 - B^3*a^2*d*8i - 156*A*B^2*a^2*d + A^2*B*a^2*d*789i + (9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/a^3 + (B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i)/a^3) - (16*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) + (129*A^2)/(128*a*d^2) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2))/((1469*A^3*a^2*d)/2 - B^3*a^2*d*8i - 156*A*B^2*a^2*d + A^2*B*a^2*d*789i + (9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/a^3 + (B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i)/a^3) + (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) + (129*A^2)/(128*a*d^2) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2)*208i)/((1469*A^3*a^2*d)/2 - B^3*a^2*d*8i - 156*A*B^2*a^2*d + A^2*B*a^2*d*789i + (9*A*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2))/a^3 + (B*d^3*((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)*6i)/a^3))*(((12769*A^4*a^10)/(4*d^4) + (16*B^4*a^10)/d^4 - (3156*A^2*B^2*a^10)/d^4 - (A*B^3*a^10*416i)/d^4 + (A^3*B*a^10*5876i)/d^4)^(1/2)/(64*a^6) + (129*A^2)/(128*a*d^2) - (3*B^2)/(16*a*d^2) + (A*B*9i)/(16*a*d^2))^(1/2) - ((A*a^2 + B*a^2*1i)/d + ((7*A + B*8i)*(a + a*tan(c + d*x)*1i)^2)/(4*d) - ((13*A*a + B*a*12i)*(a + a*tan(c + d*x)*1i))/(4*d))/((a + a*tan(c + d*x)*1i)^(5/2) - 2*a*(a + a*tan(c + d*x)*1i)^(3/2) + a^2*(a + a*tan(c + d*x)*1i)^(1/2))","B"
97,1,233,209,7.436716,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\frac{B\,1{}\mathrm{i}}{3\,d}-\frac{B\,\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{\frac{A\,a}{3}-\frac{5\,A\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2}}{a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{2\,A\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^2\,d}-\frac{B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{a^2\,d}+\frac{B\,{\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}\,B\,\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}+\frac{\sqrt{2}\,A\,\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,"((B*1i)/(3*d) - (B*(a + a*tan(c + d*x)*1i)*7i)/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2) + ((A*a)/3 - (5*A*(a + a*tan(c + d*x)*1i))/2)/(a*d*(a + a*tan(c + d*x)*1i)^(3/2)) - (2*A*(a + a*tan(c + d*x)*1i)^(1/2))/(a^2*d) - (B*(a + a*tan(c + d*x)*1i)^(1/2)*4i)/(a^2*d) + (B*(a + a*tan(c + d*x)*1i)^(3/2)*2i)/(3*a^3*d) - (2^(1/2)*B*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(4*(-a)^(3/2)*d) + (2^(1/2)*A*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(4*a^(3/2)*d)","B"
98,1,186,167,0.698195,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{A\,1{}\mathrm{i}}{3\,d}-\frac{A\,\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{\frac{B\,a}{3}-\frac{5\,B\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2}}{a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{2\,B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^2\,d}+\frac{\sqrt{2}\,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}}{4\,{\left(-a\right)}^{3/2}\,d}+\frac{\sqrt{2}\,B\,\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,"((B*a)/3 - (5*B*(a + a*tan(c + d*x)*1i))/2)/(a*d*(a + a*tan(c + d*x)*1i)^(3/2)) - ((A*1i)/(3*d) - (A*(a + a*tan(c + d*x)*1i)*3i)/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2) - (2*B*(a + a*tan(c + d*x)*1i)^(1/2))/(a^2*d) + (2^(1/2)*A*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(4*(-a)^(3/2)*d) + (2^(1/2)*B*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(4*a^(3/2)*d)","B"
99,1,163,119,7.067138,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{B\,1{}\mathrm{i}}{3\,d}-\frac{B\,\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{\frac{A}{3}-\frac{A\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2\,a}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}+\frac{\sqrt{2}\,B\,\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}-\frac{\sqrt{2}\,A\,\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,"(2^(1/2)*B*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(4*(-a)^(3/2)*d) - (A/3 - (A*(a + a*tan(c + d*x)*1i))/(2*a))/(d*(a + a*tan(c + d*x)*1i)^(3/2)) - ((B*1i)/(3*d) - (B*(a + a*tan(c + d*x)*1i)*3i)/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2) - (2^(1/2)*A*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(4*a^(3/2)*d)","B"
100,1,162,121,6.988244,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\frac{A\,1{}\mathrm{i}}{3\,d}+\frac{A\,\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{\frac{B}{3}-\frac{B\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2\,a}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\sqrt{2}\,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}}{4\,{\left(-a\right)}^{3/2}\,d}-\frac{\sqrt{2}\,B\,\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*1i)/(3*d) + (A*(a + a*tan(c + d*x)*1i)*1i)/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2) - (B/3 - (B*(a + a*tan(c + d*x)*1i))/(2*a))/(d*(a + a*tan(c + d*x)*1i)^(3/2)) - (2^(1/2)*A*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(4*(-a)^(3/2)*d) - (2^(1/2)*B*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(4*a^(3/2)*d)","B"
101,1,563,156,6.699807,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\frac{A+B\,1{}\mathrm{i}}{3\,d}+\frac{\left(3\,A+B\,1{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2\,a\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{2\,A\,\mathrm{atanh}\left(\frac{31\,A^3\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a^3}\,\left(\frac{31\,A^3\,d}{a}+\frac{A\,B^2\,d}{a}+\frac{A^2\,B\,d\,2{}\mathrm{i}}{a}\right)}+\frac{A\,B^2\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{a^3}\,\left(\frac{31\,A^3\,d}{a}+\frac{A\,B^2\,d}{a}+\frac{A^2\,B\,d\,2{}\mathrm{i}}{a}\right)}+\frac{A^2\,B\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{\sqrt{a^3}\,\left(\frac{31\,A^3\,d}{a}+\frac{A\,B^2\,d}{a}+\frac{A^2\,B\,d\,2{}\mathrm{i}}{a}\right)}\right)}{d\,\sqrt{a^3}}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,A^3\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,31{}\mathrm{i}}{16\,\left(\frac{31\,d\,A^3\,a^2}{8}-\frac{29{}\mathrm{i}\,d\,A^2\,B\,a^2}{8}+\frac{3\,d\,A\,B^2\,a^2}{8}-\frac{1{}\mathrm{i}\,d\,B^3\,a^2}{8}\right)}+\frac{\sqrt{2}\,B^3\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{16\,\left(\frac{31\,d\,A^3\,a^2}{8}-\frac{29{}\mathrm{i}\,d\,A^2\,B\,a^2}{8}+\frac{3\,d\,A\,B^2\,a^2}{8}-\frac{1{}\mathrm{i}\,d\,B^3\,a^2}{8}\right)}+\frac{\sqrt{2}\,A\,B^2\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,3{}\mathrm{i}}{16\,\left(\frac{31\,d\,A^3\,a^2}{8}-\frac{29{}\mathrm{i}\,d\,A^2\,B\,a^2}{8}+\frac{3\,d\,A\,B^2\,a^2}{8}-\frac{1{}\mathrm{i}\,d\,B^3\,a^2}{8}\right)}+\frac{29\,\sqrt{2}\,A^2\,B\,d\,\sqrt{-a^3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{16\,\left(\frac{31\,d\,A^3\,a^2}{8}-\frac{29{}\mathrm{i}\,d\,A^2\,B\,a^2}{8}+\frac{3\,d\,A\,B^2\,a^2}{8}-\frac{1{}\mathrm{i}\,d\,B^3\,a^2}{8}\right)}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,\sqrt{-a^3}}{4\,a^3\,d}","Not used",1,"((A + B*1i)/(3*d) + ((3*A + B*1i)*(a + a*tan(c + d*x)*1i))/(2*a*d))/(a + a*tan(c + d*x)*1i)^(3/2) - (2*A*atanh((31*A^3*d*(a + a*tan(c + d*x)*1i)^(1/2))/((a^3)^(1/2)*((31*A^3*d)/a + (A*B^2*d)/a + (A^2*B*d*2i)/a)) + (A*B^2*d*(a + a*tan(c + d*x)*1i)^(1/2))/((a^3)^(1/2)*((31*A^3*d)/a + (A*B^2*d)/a + (A^2*B*d*2i)/a)) + (A^2*B*d*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/((a^3)^(1/2)*((31*A^3*d)/a + (A*B^2*d)/a + (A^2*B*d*2i)/a))))/(d*(a^3)^(1/2)) + (2^(1/2)*atanh((2^(1/2)*A^3*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*31i)/(16*((31*A^3*a^2*d)/8 - (B^3*a^2*d*1i)/8 + (3*A*B^2*a^2*d)/8 - (A^2*B*a^2*d*29i)/8)) + (2^(1/2)*B^3*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(16*((31*A^3*a^2*d)/8 - (B^3*a^2*d*1i)/8 + (3*A*B^2*a^2*d)/8 - (A^2*B*a^2*d*29i)/8)) + (2^(1/2)*A*B^2*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*3i)/(16*((31*A^3*a^2*d)/8 - (B^3*a^2*d*1i)/8 + (3*A*B^2*a^2*d)/8 - (A^2*B*a^2*d*29i)/8)) + (29*2^(1/2)*A^2*B*d*(-a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(16*((31*A^3*a^2*d)/8 - (B^3*a^2*d*1i)/8 + (3*A*B^2*a^2*d)/8 - (A^2*B*a^2*d*29i)/8)))*(A*1i + B)*(-a^3)^(1/2))/(4*a^3*d)","B"
102,1,3051,217,8.229034,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{\frac{\left(A\,a+B\,a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3\,d}+\frac{\left(13\,A+B\,7{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{6\,d}-\frac{\left(7\,A+B\,3{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,1{}\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}}+2\,\mathrm{atanh}\left(\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{33\,B^2}{64\,a^3\,d^2}-\frac{73\,A^2}{64\,a^3\,d^2}-\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{\frac{A^3\,a^2\,d\,781{}\mathrm{i}}{4}+\frac{279\,B^3\,a^2\,d}{4}-\frac{A\,B^2\,a^2\,d\,1223{}\mathrm{i}}{4}-\frac{1717\,A^2\,B\,a^2\,d}{4}+\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a}-\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a}}+\frac{71\,A^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{33\,B^2}{64\,a^3\,d^2}-\frac{73\,A^2}{64\,a^3\,d^2}-\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{A^3\,d\,781{}\mathrm{i}}{4\,a}+\frac{279\,B^3\,d}{4\,a}-\frac{A\,B^2\,d\,1223{}\mathrm{i}}{4\,a}-\frac{1717\,A^2\,B\,d}{4\,a}+\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a^4}-\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a^4}}-\frac{31\,B^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{33\,B^2}{64\,a^3\,d^2}-\frac{73\,A^2}{64\,a^3\,d^2}-\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{A^3\,d\,781{}\mathrm{i}}{4\,a}+\frac{279\,B^3\,d}{4\,a}-\frac{A\,B^2\,d\,1223{}\mathrm{i}}{4\,a}-\frac{1717\,A^2\,B\,d}{4\,a}+\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a^4}-\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a^4}}+\frac{A\,B\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{33\,B^2}{64\,a^3\,d^2}-\frac{73\,A^2}{64\,a^3\,d^2}-\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}\,98{}\mathrm{i}}{\frac{A^3\,d\,781{}\mathrm{i}}{4\,a}+\frac{279\,B^3\,d}{4\,a}-\frac{A\,B^2\,d\,1223{}\mathrm{i}}{4\,a}-\frac{1717\,A^2\,B\,d}{4\,a}+\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a^4}-\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a^4}}\right)\,\sqrt{-\frac{d^2\,\sqrt{{\left(\frac{73\,A^2\,a^3-33\,B^2\,a^3}{d^2}+\frac{A\,B\,a^3\,94{}\mathrm{i}}{d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{9\,A^4}{4}+\frac{11\,A^2\,B^2}{4}+B^4}{d^4}+\frac{\left(\frac{3\,A^3\,B}{2}+A\,B^3\right)\,1{}\mathrm{i}}{d^4}\right)}+73\,A^2\,a^3-33\,B^2\,a^3+A\,B\,a^3\,94{}\mathrm{i}}{64\,a^6\,d^2}}-2\,\mathrm{atanh}\left(\frac{3\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,A^2}{64\,a^3\,d^2}+\frac{33\,B^2}{64\,a^3\,d^2}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{\frac{A^3\,a^2\,d\,781{}\mathrm{i}}{4}+\frac{279\,B^3\,a^2\,d}{4}-\frac{A\,B^2\,a^2\,d\,1223{}\mathrm{i}}{4}-\frac{1717\,A^2\,B\,a^2\,d}{4}-\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a}+\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a}}-\frac{71\,A^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,A^2}{64\,a^3\,d^2}+\frac{33\,B^2}{64\,a^3\,d^2}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{A^3\,d\,781{}\mathrm{i}}{4\,a}+\frac{279\,B^3\,d}{4\,a}-\frac{A\,B^2\,d\,1223{}\mathrm{i}}{4\,a}-\frac{1717\,A^2\,B\,d}{4\,a}-\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a^4}+\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a^4}}+\frac{31\,B^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,A^2}{64\,a^3\,d^2}+\frac{33\,B^2}{64\,a^3\,d^2}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{A^3\,d\,781{}\mathrm{i}}{4\,a}+\frac{279\,B^3\,d}{4\,a}-\frac{A\,B^2\,d\,1223{}\mathrm{i}}{4\,a}-\frac{1717\,A^2\,B\,d}{4\,a}-\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a^4}+\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a^4}}-\frac{A\,B\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,A^2}{64\,a^3\,d^2}+\frac{33\,B^2}{64\,a^3\,d^2}-\frac{A\,B\,47{}\mathrm{i}}{32\,a^3\,d^2}}\,98{}\mathrm{i}}{\frac{A^3\,d\,781{}\mathrm{i}}{4\,a}+\frac{279\,B^3\,d}{4\,a}-\frac{A\,B^2\,d\,1223{}\mathrm{i}}{4\,a}-\frac{1717\,A^2\,B\,d}{4\,a}-\frac{A\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}\,13{}\mathrm{i}}{4\,a^4}+\frac{7\,B\,d^3\,\sqrt{\frac{5041\,A^4\,a^6}{d^4}+\frac{961\,B^4\,a^6}{d^4}-\frac{14006\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,6076{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,13916{}\mathrm{i}}{d^4}}}{4\,a^4}}\right)\,\sqrt{\frac{d^2\,\sqrt{{\left(\frac{73\,A^2\,a^3-33\,B^2\,a^3}{d^2}+\frac{A\,B\,a^3\,94{}\mathrm{i}}{d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{9\,A^4}{4}+\frac{11\,A^2\,B^2}{4}+B^4}{d^4}+\frac{\left(\frac{3\,A^3\,B}{2}+A\,B^3\right)\,1{}\mathrm{i}}{d^4}\right)}-73\,A^2\,a^3+33\,B^2\,a^3-A\,B\,a^3\,94{}\mathrm{i}}{64\,a^6\,d^2}}","Not used",1,"2*atanh((3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((33*B^2)/(64*a^3*d^2) - (73*A^2)/(64*a^3*d^2) - ((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (A*B*47i)/(32*a^3*d^2))^(1/2)*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/((A^3*a^2*d*781i)/4 + (279*B^3*a^2*d)/4 - (A*B^2*a^2*d*1223i)/4 - (1717*A^2*B*a^2*d)/4 + (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a) - (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a)) + (71*A^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((33*B^2)/(64*a^3*d^2) - (73*A^2)/(64*a^3*d^2) - ((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (A*B*47i)/(32*a^3*d^2))^(1/2))/((A^3*d*781i)/(4*a) + (279*B^3*d)/(4*a) - (A*B^2*d*1223i)/(4*a) - (1717*A^2*B*d)/(4*a) + (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a^4) - (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a^4)) - (31*B^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((33*B^2)/(64*a^3*d^2) - (73*A^2)/(64*a^3*d^2) - ((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (A*B*47i)/(32*a^3*d^2))^(1/2))/((A^3*d*781i)/(4*a) + (279*B^3*d)/(4*a) - (A*B^2*d*1223i)/(4*a) - (1717*A^2*B*d)/(4*a) + (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a^4) - (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a^4)) + (A*B*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((33*B^2)/(64*a^3*d^2) - (73*A^2)/(64*a^3*d^2) - ((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (A*B*47i)/(32*a^3*d^2))^(1/2)*98i)/((A^3*d*781i)/(4*a) + (279*B^3*d)/(4*a) - (A*B^2*d*1223i)/(4*a) - (1717*A^2*B*d)/(4*a) + (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a^4) - (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a^4)))*(-(d^2*(((73*A^2*a^3 - 33*B^2*a^3)/d^2 + (A*B*a^3*94i)/d^2)^2 + 128*a^6*(((A*B^3 + (3*A^3*B)/2)*1i)/d^4 - ((9*A^4)/4 + (11*A^2*B^2)/4 + B^4)/d^4))^(1/2) + 73*A^2*a^3 - 33*B^2*a^3 + A*B*a^3*94i)/(64*a^6*d^2))^(1/2) - (((A*a + B*a*1i)*1i)/(3*d) + ((13*A + B*7i)*(a + a*tan(c + d*x)*1i)*1i)/(6*d) - ((7*A + B*3i)*(a + a*tan(c + d*x)*1i)^2*1i)/(2*a*d))/(a*(a + a*tan(c + d*x)*1i)^(3/2) - (a + a*tan(c + d*x)*1i)^(5/2)) - 2*atanh((3*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (73*A^2)/(64*a^3*d^2) + (33*B^2)/(64*a^3*d^2) - (A*B*47i)/(32*a^3*d^2))^(1/2)*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/((A^3*a^2*d*781i)/4 + (279*B^3*a^2*d)/4 - (A*B^2*a^2*d*1223i)/4 - (1717*A^2*B*a^2*d)/4 - (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a) + (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a)) - (71*A^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (73*A^2)/(64*a^3*d^2) + (33*B^2)/(64*a^3*d^2) - (A*B*47i)/(32*a^3*d^2))^(1/2))/((A^3*d*781i)/(4*a) + (279*B^3*d)/(4*a) - (A*B^2*d*1223i)/(4*a) - (1717*A^2*B*d)/(4*a) - (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a^4) + (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a^4)) + (31*B^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (73*A^2)/(64*a^3*d^2) + (33*B^2)/(64*a^3*d^2) - (A*B*47i)/(32*a^3*d^2))^(1/2))/((A^3*d*781i)/(4*a) + (279*B^3*d)/(4*a) - (A*B^2*d*1223i)/(4*a) - (1717*A^2*B*d)/(4*a) - (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a^4) + (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a^4)) - (A*B*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)/(64*a^6) - (73*A^2)/(64*a^3*d^2) + (33*B^2)/(64*a^3*d^2) - (A*B*47i)/(32*a^3*d^2))^(1/2)*98i)/((A^3*d*781i)/(4*a) + (279*B^3*d)/(4*a) - (A*B^2*d*1223i)/(4*a) - (1717*A^2*B*d)/(4*a) - (A*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2)*13i)/(4*a^4) + (7*B*d^3*((5041*A^4*a^6)/d^4 + (961*B^4*a^6)/d^4 - (14006*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*6076i)/d^4 + (A^3*B*a^6*13916i)/d^4)^(1/2))/(4*a^4)))*((d^2*(((73*A^2*a^3 - 33*B^2*a^3)/d^2 + (A*B*a^3*94i)/d^2)^2 + 128*a^6*(((A*B^3 + (3*A^3*B)/2)*1i)/d^4 - ((9*A^4)/4 + (11*A^2*B^2)/4 + B^4)/d^4))^(1/2) - 73*A^2*a^3 + 33*B^2*a^3 - A*B*a^3*94i)/(64*a^6*d^2))^(1/2)","B"
103,1,3106,268,8.409539,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","2\,\mathrm{atanh}\left(\frac{48\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{531\,A^2}{128\,a^3\,d^2}-\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{19048\,A\,B^2\,a^2\,d+B^3\,a^2\,d\,3124{}\mathrm{i}-25296\,A^3\,a^2\,d-A^2\,B\,a^2\,d\,38282{}\mathrm{i}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a}}-\frac{4216\,A^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{531\,A^2}{128\,a^3\,d^2}-\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{19048\,A\,B^2\,d}{a}+\frac{B^3\,d\,3124{}\mathrm{i}}{a}-\frac{25296\,A^3\,d}{a}-\frac{A^2\,B\,d\,38282{}\mathrm{i}}{a}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a^4}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a^4}}+\frac{1136\,B^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{531\,A^2}{128\,a^3\,d^2}-\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{19048\,A\,B^2\,d}{a}+\frac{B^3\,d\,3124{}\mathrm{i}}{a}-\frac{25296\,A^3\,d}{a}-\frac{A^2\,B\,d\,38282{}\mathrm{i}}{a}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a^4}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a^4}}-\frac{A\,B\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{531\,A^2}{128\,a^3\,d^2}-\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}\,4448{}\mathrm{i}}{\frac{19048\,A\,B^2\,d}{a}+\frac{B^3\,d\,3124{}\mathrm{i}}{a}-\frac{25296\,A^3\,d}{a}-\frac{A^2\,B\,d\,38282{}\mathrm{i}}{a}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a^4}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a^4}}\right)\,\sqrt{-\frac{2\,d^2\,\sqrt{{\left(\frac{\frac{531\,A^2\,a^3}{2}-73\,B^2\,a^3}{d^2}+\frac{A\,B\,a^3\,274{}\mathrm{i}}{d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{529\,A^4}{64}+\frac{431\,A^2\,B^2}{64}+\frac{9\,B^4}{4}}{d^4}+\frac{\left(\frac{253\,A^3\,B}{32}+\frac{33\,A\,B^3}{8}\right)\,1{}\mathrm{i}}{d^4}\right)}-531\,A^2\,a^3+146\,B^2\,a^3-A\,B\,a^3\,548{}\mathrm{i}}{128\,a^6\,d^2}}+2\,\mathrm{atanh}\left(\frac{48\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{531\,A^2}{128\,a^3\,d^2}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{25296\,A^3\,a^2\,d-B^3\,a^2\,d\,3124{}\mathrm{i}-19048\,A\,B^2\,a^2\,d+A^2\,B\,a^2\,d\,38282{}\mathrm{i}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a}}+\frac{4216\,A^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{531\,A^2}{128\,a^3\,d^2}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{25296\,A^3\,d}{a}-\frac{B^3\,d\,3124{}\mathrm{i}}{a}-\frac{19048\,A\,B^2\,d}{a}+\frac{A^2\,B\,d\,38282{}\mathrm{i}}{a}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a^4}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a^4}}-\frac{1136\,B^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{531\,A^2}{128\,a^3\,d^2}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}}{\frac{25296\,A^3\,d}{a}-\frac{B^3\,d\,3124{}\mathrm{i}}{a}-\frac{19048\,A\,B^2\,d}{a}+\frac{A^2\,B\,d\,38282{}\mathrm{i}}{a}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a^4}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a^4}}+\frac{A\,B\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{64\,a^6}+\frac{531\,A^2}{128\,a^3\,d^2}-\frac{73\,B^2}{64\,a^3\,d^2}+\frac{A\,B\,137{}\mathrm{i}}{32\,a^3\,d^2}}\,4448{}\mathrm{i}}{\frac{25296\,A^3\,d}{a}-\frac{B^3\,d\,3124{}\mathrm{i}}{a}-\frac{19048\,A\,B^2\,d}{a}+\frac{A^2\,B\,d\,38282{}\mathrm{i}}{a}+\frac{88\,A\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}}{a^4}+\frac{B\,d^3\,\sqrt{\frac{277729\,A^4\,a^6}{4\,d^4}+\frac{5041\,B^4\,a^6}{d^4}-\frac{114701\,A^2\,B^2\,a^6}{d^4}-\frac{A\,B^3\,a^6\,39476{}\mathrm{i}}{d^4}+\frac{A^3\,B\,a^6\,146506{}\mathrm{i}}{d^4}}\,52{}\mathrm{i}}{a^4}}\right)\,\sqrt{\frac{2\,d^2\,\sqrt{{\left(\frac{\frac{531\,A^2\,a^3}{2}-73\,B^2\,a^3}{d^2}+\frac{A\,B\,a^3\,274{}\mathrm{i}}{d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{529\,A^4}{64}+\frac{431\,A^2\,B^2}{64}+\frac{9\,B^4}{4}}{d^4}+\frac{\left(\frac{253\,A^3\,B}{32}+\frac{33\,A\,B^3}{8}\right)\,1{}\mathrm{i}}{d^4}\right)}+531\,A^2\,a^3-146\,B^2\,a^3+A\,B\,a^3\,548{}\mathrm{i}}{128\,a^6\,d^2}}-\frac{\frac{A\,a^2+B\,a^2\,1{}\mathrm{i}}{3\,d}-\frac{\left(107\,A+B\,68{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{12\,d}+\frac{\left(17\,A\,a+B\,a\,11{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6\,d}+\frac{7\,\left(3\,A+B\,2{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{4\,a\,d}}{-2\,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}+a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}","Not used",1,"2*atanh((48*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((531*A^2)/(128*a^3*d^2) - ((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2)*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/(B^3*a^2*d*3124i - 25296*A^3*a^2*d + 19048*A*B^2*a^2*d - A^2*B*a^2*d*38282i + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a) - (4216*A^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((531*A^2)/(128*a^3*d^2) - ((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2))/((B^3*d*3124i)/a - (25296*A^3*d)/a + (19048*A*B^2*d)/a - (A^2*B*d*38282i)/a + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a^4 + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a^4) + (1136*B^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((531*A^2)/(128*a^3*d^2) - ((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2))/((B^3*d*3124i)/a - (25296*A^3*d)/a + (19048*A*B^2*d)/a - (A^2*B*d*38282i)/a + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a^4 + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a^4) - (A*B*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((531*A^2)/(128*a^3*d^2) - ((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2)*4448i)/((B^3*d*3124i)/a - (25296*A^3*d)/a + (19048*A*B^2*d)/a - (A^2*B*d*38282i)/a + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a^4 + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a^4))*(-(2*d^2*((((531*A^2*a^3)/2 - 73*B^2*a^3)/d^2 + (A*B*a^3*274i)/d^2)^2 + 128*a^6*((((33*A*B^3)/8 + (253*A^3*B)/32)*1i)/d^4 - ((529*A^4)/64 + (431*A^2*B^2)/64 + (9*B^4)/4)/d^4))^(1/2) - 531*A^2*a^3 + 146*B^2*a^3 - A*B*a^3*548i)/(128*a^6*d^2))^(1/2) + 2*atanh((48*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) + (531*A^2)/(128*a^3*d^2) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2)*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/(25296*A^3*a^2*d - B^3*a^2*d*3124i - 19048*A*B^2*a^2*d + A^2*B*a^2*d*38282i + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a) + (4216*A^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) + (531*A^2)/(128*a^3*d^2) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2))/((25296*A^3*d)/a - (B^3*d*3124i)/a - (19048*A*B^2*d)/a + (A^2*B*d*38282i)/a + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a^4 + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a^4) - (1136*B^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) + (531*A^2)/(128*a^3*d^2) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2))/((25296*A^3*d)/a - (B^3*d*3124i)/a - (19048*A*B^2*d)/a + (A^2*B*d*38282i)/a + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a^4 + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a^4) + (A*B*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)/(64*a^6) + (531*A^2)/(128*a^3*d^2) - (73*B^2)/(64*a^3*d^2) + (A*B*137i)/(32*a^3*d^2))^(1/2)*4448i)/((25296*A^3*d)/a - (B^3*d*3124i)/a - (19048*A*B^2*d)/a + (A^2*B*d*38282i)/a + (88*A*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2))/a^4 + (B*d^3*((277729*A^4*a^6)/(4*d^4) + (5041*B^4*a^6)/d^4 - (114701*A^2*B^2*a^6)/d^4 - (A*B^3*a^6*39476i)/d^4 + (A^3*B*a^6*146506i)/d^4)^(1/2)*52i)/a^4))*((2*d^2*((((531*A^2*a^3)/2 - 73*B^2*a^3)/d^2 + (A*B*a^3*274i)/d^2)^2 + 128*a^6*((((33*A*B^3)/8 + (253*A^3*B)/32)*1i)/d^4 - ((529*A^4)/64 + (431*A^2*B^2)/64 + (9*B^4)/4)/d^4))^(1/2) + 531*A^2*a^3 - 146*B^2*a^3 + A*B*a^3*548i)/(128*a^6*d^2))^(1/2) - ((A*a^2 + B*a^2*1i)/(3*d) - ((107*A + B*68i)*(a + a*tan(c + d*x)*1i)^2)/(12*d) + ((17*A*a + B*a*11i)*(a + a*tan(c + d*x)*1i))/(6*d) + (7*(3*A + B*2i)*(a + a*tan(c + d*x)*1i)^3)/(4*a*d))/((a + a*tan(c + d*x)*1i)^(7/2) - 2*a*(a + a*tan(c + d*x)*1i)^(5/2) + a^2*(a + a*tan(c + d*x)*1i)^(3/2))","B"
104,1,279,255,6.956065,"\text{Not used}","int((tan(c + d*x)^4*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{A\,1{}\mathrm{i}}{5\,d}-\frac{A\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{6\,a\,d}+\frac{A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,17{}\mathrm{i}}{4\,a^2\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{A\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a^3\,d}-\frac{6\,B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{a^3\,d}+\frac{2\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^4\,d}-\frac{\frac{B\,a^2}{5}+\frac{31\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4}-\frac{3\,B\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2}}{a^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,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}}{8\,{\left(-a\right)}^{5/2}\,d}+\frac{\sqrt{2}\,B\,\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,"((A*1i)/(5*d) - (A*(a + a*tan(c + d*x)*1i)*7i)/(6*a*d) + (A*(a + a*tan(c + d*x)*1i)^2*17i)/(4*a^2*d))/(a + a*tan(c + d*x)*1i)^(5/2) + (A*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/(a^3*d) - (6*B*(a + a*tan(c + d*x)*1i)^(1/2))/(a^3*d) + (2*B*(a + a*tan(c + d*x)*1i)^(3/2))/(3*a^4*d) - ((B*a^2)/5 + (31*B*(a + a*tan(c + d*x)*1i)^2)/4 - (3*B*a*(a + a*tan(c + d*x)*1i))/2)/(a^2*d*(a + a*tan(c + d*x)*1i)^(5/2)) + (2^(1/2)*A*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d) + (2^(1/2)*B*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"
105,1,230,211,6.892510,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{B\,1{}\mathrm{i}}{5\,d}-\frac{B\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{6\,a\,d}+\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,17{}\mathrm{i}}{4\,a^2\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{B\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a^3\,d}+\frac{\frac{A\,a^2}{5}+\frac{7\,A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4}-\frac{5\,A\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6}}{a^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,B\,\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}+\frac{\sqrt{2}\,A\,\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,"((B*1i)/(5*d) - (B*(a + a*tan(c + d*x)*1i)*7i)/(6*a*d) + (B*(a + a*tan(c + d*x)*1i)^2*17i)/(4*a^2*d))/(a + a*tan(c + d*x)*1i)^(5/2) + (B*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/(a^3*d) + ((A*a^2)/5 + (7*A*(a + a*tan(c + d*x)*1i)^2)/4 - (5*A*a*(a + a*tan(c + d*x)*1i))/6)/(a^2*d*(a + a*tan(c + d*x)*1i)^(5/2)) + (2^(1/2)*B*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d) + (2^(1/2)*A*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(8*a^(5/2)*d)","B"
106,1,187,167,6.742874,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{A\,1{}\mathrm{i}}{20\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{A\,{\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{\frac{B\,a^2}{5}+\frac{7\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4}-\frac{5\,B\,a\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6}}{a^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{\sqrt{2}\,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}}{8\,{\left(-a\right)}^{5/2}\,d}+\frac{\sqrt{2}\,B\,\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*1i)/(20*d*(a + a*tan(c + d*x)*1i)^(5/2)) + (A*tan(c + d*x)^2*1i)/(4*d*(a + a*tan(c + d*x)*1i)^(5/2)) + ((B*a^2)/5 + (7*B*(a + a*tan(c + d*x)*1i)^2)/4 - (5*B*a*(a + a*tan(c + d*x)*1i))/6)/(a^2*d*(a + a*tan(c + d*x)*1i)^(5/2)) - (2^(1/2)*A*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d) + (2^(1/2)*B*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(8*a^(5/2)*d)","B"
107,1,186,153,6.726526,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{-\frac{A}{5}+\frac{A\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6\,a}+\frac{A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4\,a^2}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{B\,1{}\mathrm{i}}{20\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{B\,{\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}\,B\,\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}-\frac{\sqrt{2}\,A\,\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 + a*tan(c + d*x)*1i))/(6*a) - A/5 + (A*(a + a*tan(c + d*x)*1i)^2)/(4*a^2))/(d*(a + a*tan(c + d*x)*1i)^(5/2)) + (B*1i)/(20*d*(a + a*tan(c + d*x)*1i)^(5/2)) + (B*tan(c + d*x)^2*1i)/(4*d*(a + a*tan(c + d*x)*1i)^(5/2)) - (2^(1/2)*B*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d) - (2^(1/2)*A*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(8*a^(5/2)*d)","B"
108,1,205,155,6.583889,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{A\,1{}\mathrm{i}}{5\,d}+\frac{A\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{6\,a\,d}+\frac{A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{4\,a^2\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{-\frac{B}{5}+\frac{B\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6\,a}+\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4\,a^2}}{d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,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}}{8\,{\left(-a\right)}^{5/2}\,d}-\frac{\sqrt{2}\,B\,\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*1i)/(5*d) + (A*(a + a*tan(c + d*x)*1i)*1i)/(6*a*d) + (A*(a + a*tan(c + d*x)*1i)^2*1i)/(4*a^2*d))/(a + a*tan(c + d*x)*1i)^(5/2) + ((B*(a + a*tan(c + d*x)*1i))/(6*a) - B/5 + (B*(a + a*tan(c + d*x)*1i)^2)/(4*a^2))/(d*(a + a*tan(c + d*x)*1i)^(5/2)) + (2^(1/2)*A*atan((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*(-a)^(1/2)))*1i)/(8*(-a)^(5/2)*d) - (2^(1/2)*B*atanh((2^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(2*a^(1/2))))/(8*a^(5/2)*d)","B"
109,1,528,192,6.583754,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\frac{A+B\,1{}\mathrm{i}}{5\,d}+\frac{\left(3\,A+B\,1{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{6\,a\,d}+\frac{\left(7\,A+B\,1{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{4\,a^2\,d}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{2\,A\,\mathrm{atanh}\left(\frac{127\,A^3\,a\,d\,\sqrt{\frac{1}{a^3}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{127\,d\,A^3+2{}\mathrm{i}\,d\,A^2\,B+d\,A\,B^2}+\frac{A\,B^2\,a\,d\,\sqrt{\frac{1}{a^3}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{127\,d\,A^3+2{}\mathrm{i}\,d\,A^2\,B+d\,A\,B^2}+\frac{A^2\,B\,a\,d\,\sqrt{\frac{1}{a^3}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{127\,d\,A^3+2{}\mathrm{i}\,d\,A^2\,B+d\,A\,B^2}\right)\,\sqrt{\frac{1}{a^3}}}{a\,d}+\frac{\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,A^3\,a\,d\,\sqrt{-\frac{1}{a^3}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,127{}\mathrm{i}}{32\,\left(\frac{127\,d\,A^3}{16}-\frac{125{}\mathrm{i}\,d\,A^2\,B}{16}+\frac{3\,d\,A\,B^2}{16}-\frac{1{}\mathrm{i}\,d\,B^3}{16}\right)}+\frac{\sqrt{2}\,B^3\,a\,d\,\sqrt{-\frac{1}{a^3}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{32\,\left(\frac{127\,d\,A^3}{16}-\frac{125{}\mathrm{i}\,d\,A^2\,B}{16}+\frac{3\,d\,A\,B^2}{16}-\frac{1{}\mathrm{i}\,d\,B^3}{16}\right)}+\frac{\sqrt{2}\,A\,B^2\,a\,d\,\sqrt{-\frac{1}{a^3}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,3{}\mathrm{i}}{32\,\left(\frac{127\,d\,A^3}{16}-\frac{125{}\mathrm{i}\,d\,A^2\,B}{16}+\frac{3\,d\,A\,B^2}{16}-\frac{1{}\mathrm{i}\,d\,B^3}{16}\right)}+\frac{125\,\sqrt{2}\,A^2\,B\,a\,d\,\sqrt{-\frac{1}{a^3}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{32\,\left(\frac{127\,d\,A^3}{16}-\frac{125{}\mathrm{i}\,d\,A^2\,B}{16}+\frac{3\,d\,A\,B^2}{16}-\frac{1{}\mathrm{i}\,d\,B^3}{16}\right)}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,\sqrt{-\frac{1}{a^3}}}{8\,a\,d}","Not used",1,"((A + B*1i)/(5*d) + ((3*A + B*1i)*(a + a*tan(c + d*x)*1i))/(6*a*d) + ((7*A + B*1i)*(a + a*tan(c + d*x)*1i)^2)/(4*a^2*d))/(a + a*tan(c + d*x)*1i)^(5/2) - (2*A*atanh((127*A^3*a*d*(1/a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(127*A^3*d + A*B^2*d + A^2*B*d*2i) + (A*B^2*a*d*(1/a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(127*A^3*d + A*B^2*d + A^2*B*d*2i) + (A^2*B*a*d*(1/a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*2i)/(127*A^3*d + A*B^2*d + A^2*B*d*2i))*(1/a^3)^(1/2))/(a*d) + (2^(1/2)*atanh((2^(1/2)*A^3*a*d*(-1/a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*127i)/(32*((127*A^3*d)/16 - (B^3*d*1i)/16 + (3*A*B^2*d)/16 - (A^2*B*d*125i)/16)) + (2^(1/2)*B^3*a*d*(-1/a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(32*((127*A^3*d)/16 - (B^3*d*1i)/16 + (3*A*B^2*d)/16 - (A^2*B*d*125i)/16)) + (2^(1/2)*A*B^2*a*d*(-1/a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*3i)/(32*((127*A^3*d)/16 - (B^3*d*1i)/16 + (3*A*B^2*d)/16 - (A^2*B*d*125i)/16)) + (125*2^(1/2)*A^2*B*a*d*(-1/a^3)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2))/(32*((127*A^3*d)/16 - (B^3*d*1i)/16 + (3*A*B^2*d)/16 - (A^2*B*d*125i)/16)))*(A*1i + B)*(-1/a^3)^(1/2))/(8*a*d)","B"
110,1,3002,259,8.253726,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{\frac{\left(A\,a+B\,a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{5\,d}+\frac{\left(19\,A+B\,9{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{30\,d}-\frac{\left(3\,A+B\,1{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3\,7{}\mathrm{i}}{4\,a^2\,d}+\frac{\left(41\,A+B\,15{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,1{}\mathrm{i}}{12\,a\,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}}+2\,\mathrm{atanh}\left(\frac{12\,a\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,B^2}{256\,a^5\,d^2}-\frac{801\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}+\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}-\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}+\frac{799\,A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,B^2}{256\,a^5\,d^2}-\frac{801\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}+\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}-\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}-\frac{127\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,B^2}{256\,a^5\,d^2}-\frac{801\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}+\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}-\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}+\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{129\,B^2}{256\,a^5\,d^2}-\frac{801\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}\,642{}\mathrm{i}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}+\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}-\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}\right)\,\sqrt{-\frac{4\,d^2\,\sqrt{{\left(\frac{\frac{801\,A^2\,a}{4}-\frac{129\,B^2\,a}{4}}{d^2}+\frac{A\,B\,a\,319{}\mathrm{i}}{2\,d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{25\,A^4}{16}+\frac{11\,A^2\,B^2}{16}+\frac{B^4}{4}}{a^4\,d^4}+\frac{\left(\frac{15\,A^3\,B}{8}+\frac{3\,A\,B^3}{4}\right)\,1{}\mathrm{i}}{a^4\,d^4}\right)}+801\,A^2\,a-129\,B^2\,a+A\,B\,a\,638{}\mathrm{i}}{256\,a^6\,d^2}}-2\,\mathrm{atanh}\left(\frac{12\,a\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,A^2}{256\,a^5\,d^2}+\frac{129\,B^2}{256\,a^5\,d^2}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}-\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}+\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}-\frac{799\,A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,A^2}{256\,a^5\,d^2}+\frac{129\,B^2}{256\,a^5\,d^2}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}-\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}+\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}+\frac{127\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,A^2}{256\,a^5\,d^2}+\frac{129\,B^2}{256\,a^5\,d^2}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}-\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}+\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}-\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,A^2}{256\,a^5\,d^2}+\frac{129\,B^2}{256\,a^5\,d^2}-\frac{A\,B\,319{}\mathrm{i}}{128\,a^5\,d^2}}\,642{}\mathrm{i}}{\frac{A^3\,d\,31161{}\mathrm{i}}{8}+\frac{2159\,B^3\,d}{8}-\frac{A\,B^2\,d\,15867{}\mathrm{i}}{8}-\frac{38621\,A^2\,B\,d}{8}-\frac{A\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}\,41{}\mathrm{i}}{2\,a}+\frac{15\,B\,d^3\,\sqrt{\frac{638401\,A^4\,a^2}{16\,d^4}+\frac{16129\,B^4\,a^2}{16\,d^4}-\frac{307555\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,40767{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,256479{}\mathrm{i}}{4\,d^4}}}{2\,a}}\right)\,\sqrt{\frac{4\,d^2\,\sqrt{{\left(\frac{\frac{801\,A^2\,a}{4}-\frac{129\,B^2\,a}{4}}{d^2}+\frac{A\,B\,a\,319{}\mathrm{i}}{2\,d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{25\,A^4}{16}+\frac{11\,A^2\,B^2}{16}+\frac{B^4}{4}}{a^4\,d^4}+\frac{\left(\frac{15\,A^3\,B}{8}+\frac{3\,A\,B^3}{4}\right)\,1{}\mathrm{i}}{a^4\,d^4}\right)}-801\,A^2\,a+129\,B^2\,a-A\,B\,a\,638{}\mathrm{i}}{256\,a^6\,d^2}}","Not used",1,"2*atanh((12*a*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((129*B^2)/(256*a^5*d^2) - (801*A^2)/(256*a^5*d^2) - ((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (A*B*319i)/(128*a^5*d^2))^(1/2)*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 + (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) - (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)) + (799*A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((129*B^2)/(256*a^5*d^2) - (801*A^2)/(256*a^5*d^2) - ((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (A*B*319i)/(128*a^5*d^2))^(1/2))/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 + (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) - (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)) - (127*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((129*B^2)/(256*a^5*d^2) - (801*A^2)/(256*a^5*d^2) - ((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (A*B*319i)/(128*a^5*d^2))^(1/2))/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 + (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) - (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)) + (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((129*B^2)/(256*a^5*d^2) - (801*A^2)/(256*a^5*d^2) - ((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (A*B*319i)/(128*a^5*d^2))^(1/2)*642i)/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 + (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) - (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)))*(-(4*d^2*((((801*A^2*a)/4 - (129*B^2*a)/4)/d^2 + (A*B*a*319i)/(2*d^2))^2 + 128*a^6*((((3*A*B^3)/4 + (15*A^3*B)/8)*1i)/(a^4*d^4) - ((25*A^4)/16 + (11*A^2*B^2)/16 + B^4/4)/(a^4*d^4)))^(1/2) + 801*A^2*a - 129*B^2*a + A*B*a*638i)/(256*a^6*d^2))^(1/2) - (((A*a + B*a*1i)*1i)/(5*d) + ((19*A + B*9i)*(a + a*tan(c + d*x)*1i)*1i)/(30*d) - ((3*A + B*1i)*(a + a*tan(c + d*x)*1i)^3*7i)/(4*a^2*d) + ((41*A + B*15i)*(a + a*tan(c + d*x)*1i)^2*1i)/(12*a*d))/(a*(a + a*tan(c + d*x)*1i)^(5/2) - (a + a*tan(c + d*x)*1i)^(7/2)) - 2*atanh((12*a*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (801*A^2)/(256*a^5*d^2) + (129*B^2)/(256*a^5*d^2) - (A*B*319i)/(128*a^5*d^2))^(1/2)*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 - (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) + (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)) - (799*A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (801*A^2)/(256*a^5*d^2) + (129*B^2)/(256*a^5*d^2) - (A*B*319i)/(128*a^5*d^2))^(1/2))/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 - (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) + (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)) + (127*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (801*A^2)/(256*a^5*d^2) + (129*B^2)/(256*a^5*d^2) - (A*B*319i)/(128*a^5*d^2))^(1/2))/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 - (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) + (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)) - (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)/(64*a^6) - (801*A^2)/(256*a^5*d^2) + (129*B^2)/(256*a^5*d^2) - (A*B*319i)/(128*a^5*d^2))^(1/2)*642i)/((A^3*d*31161i)/8 + (2159*B^3*d)/8 - (A*B^2*d*15867i)/8 - (38621*A^2*B*d)/8 - (A*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2)*41i)/(2*a) + (15*B*d^3*((638401*A^4*a^2)/(16*d^4) + (16129*B^4*a^2)/(16*d^4) - (307555*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*40767i)/(4*d^4) + (A^3*B*a^2*256479i)/(4*d^4))^(1/2))/(2*a)))*((4*d^2*((((801*A^2*a)/4 - (129*B^2*a)/4)/d^2 + (A*B*a*319i)/(2*d^2))^2 + 128*a^6*((((3*A*B^3)/4 + (15*A^3*B)/8)*1i)/(a^4*d^4) - ((25*A^4)/16 + (11*A^2*B^2)/16 + B^4/4)/(a^4*d^4)))^(1/2) - 801*A^2*a + 129*B^2*a - A*B*a*638i)/(256*a^6*d^2))^(1/2)","B"
111,1,3048,312,8.385876,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{\frac{A\,a^2+B\,a^2\,1{}\mathrm{i}}{5\,d}+\frac{\left(337\,A+B\,167{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{60\,d}+\frac{\left(23\,A\,a+B\,a\,13{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{30\,d}+\frac{21\,\left(2\,A+B\,1{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{4\,a^2\,d}-\frac{\left(211\,A+B\,104{}\mathrm{i}\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{12\,a\,d}}{-2\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}+{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{9/2}+a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+2\,\mathrm{atanh}\left(\frac{192\,a\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{407502\,A\,B^2\,d+B^3\,d\,62322{}\mathrm{i}-643278\,A^3\,d-A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}-\frac{59152\,A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}}{407502\,A\,B^2\,d+B^3\,d\,62322{}\mathrm{i}-643278\,A^3\,d-A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}+\frac{12784\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}}{407502\,A\,B^2\,d+B^3\,d\,62322{}\mathrm{i}-643278\,A^3\,d-A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}-\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}\,55072{}\mathrm{i}}{407502\,A\,B^2\,d+B^3\,d\,62322{}\mathrm{i}-643278\,A^3\,d-A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}\right)\,\sqrt{-\frac{4\,d^2\,\sqrt{{\left(\frac{\frac{3699\,A^2\,a}{4}-\frac{801\,B^2\,a}{4}}{d^2}+\frac{A\,B\,a\,1719{}\mathrm{i}}{2\,d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{1849\,A^4}{256}+\frac{1191\,A^2\,B^2}{256}+\frac{25\,B^4}{16}}{a^4\,d^4}+\frac{\left(\frac{989\,A^3\,B}{128}+\frac{115\,A\,B^3}{32}\right)\,1{}\mathrm{i}}{a^4\,d^4}\right)}-3699\,A^2\,a+801\,B^2\,a-A\,B\,a\,3438{}\mathrm{i}}{256\,a^6\,d^2}}+2\,\mathrm{atanh}\left(\frac{192\,a\,d^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}+\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{643278\,A^3\,d-B^3\,d\,62322{}\mathrm{i}-407502\,A\,B^2\,d+A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}+\frac{59152\,A^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}+\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}}{643278\,A^3\,d-B^3\,d\,62322{}\mathrm{i}-407502\,A\,B^2\,d+A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}-\frac{12784\,B^2\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}+\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}}{643278\,A^3\,d-B^3\,d\,62322{}\mathrm{i}-407502\,A\,B^2\,d+A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}+\frac{A\,B\,a^2\,d^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,\sqrt{\frac{\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{64\,a^6}+\frac{3699\,A^2}{256\,a^5\,d^2}-\frac{801\,B^2}{256\,a^5\,d^2}+\frac{A\,B\,1719{}\mathrm{i}}{128\,a^5\,d^2}}\,55072{}\mathrm{i}}{643278\,A^3\,d-B^3\,d\,62322{}\mathrm{i}-407502\,A\,B^2\,d+A^2\,B\,d\,887274{}\mathrm{i}+\frac{680\,A\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}}{a}+\frac{B\,d^3\,\sqrt{\frac{13667809\,A^4\,a^2}{16\,d^4}+\frac{638401\,B^4\,a^2}{16\,d^4}-\frac{8877585\,A^2\,B^2\,a^2}{8\,d^4}-\frac{A\,B^3\,a^2\,1375079{}\mathrm{i}}{4\,d^4}+\frac{A^3\,B\,a^2\,6362537{}\mathrm{i}}{4\,d^4}}\,328{}\mathrm{i}}{a}}\right)\,\sqrt{\frac{4\,d^2\,\sqrt{{\left(\frac{\frac{3699\,A^2\,a}{4}-\frac{801\,B^2\,a}{4}}{d^2}+\frac{A\,B\,a\,1719{}\mathrm{i}}{2\,d^2}\right)}^2+128\,a^6\,\left(-\frac{\frac{1849\,A^4}{256}+\frac{1191\,A^2\,B^2}{256}+\frac{25\,B^4}{16}}{a^4\,d^4}+\frac{\left(\frac{989\,A^3\,B}{128}+\frac{115\,A\,B^3}{32}\right)\,1{}\mathrm{i}}{a^4\,d^4}\right)}+3699\,A^2\,a-801\,B^2\,a+A\,B\,a\,3438{}\mathrm{i}}{256\,a^6\,d^2}}","Not used",1,"2*atanh((192*a*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*((3699*A^2)/(256*a^5*d^2) - ((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2)*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/(B^3*d*62322i - 643278*A^3*d + 407502*A*B^2*d - A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a) - (59152*A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((3699*A^2)/(256*a^5*d^2) - ((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2))/(B^3*d*62322i - 643278*A^3*d + 407502*A*B^2*d - A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a) + (12784*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((3699*A^2)/(256*a^5*d^2) - ((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2))/(B^3*d*62322i - 643278*A^3*d + 407502*A*B^2*d - A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a) - (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*((3699*A^2)/(256*a^5*d^2) - ((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2)*55072i)/(B^3*d*62322i - 643278*A^3*d + 407502*A*B^2*d - A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a))*(-(4*d^2*((((3699*A^2*a)/4 - (801*B^2*a)/4)/d^2 + (A*B*a*1719i)/(2*d^2))^2 + 128*a^6*((((115*A*B^3)/32 + (989*A^3*B)/128)*1i)/(a^4*d^4) - ((1849*A^4)/256 + (1191*A^2*B^2)/256 + (25*B^4)/16)/(a^4*d^4)))^(1/2) - 3699*A^2*a + 801*B^2*a - A*B*a*3438i)/(256*a^6*d^2))^(1/2) - ((A*a^2 + B*a^2*1i)/(5*d) + ((337*A + B*167i)*(a + a*tan(c + d*x)*1i)^2)/(60*d) + ((23*A*a + B*a*13i)*(a + a*tan(c + d*x)*1i))/(30*d) + (21*(2*A + B*1i)*(a + a*tan(c + d*x)*1i)^4)/(4*a^2*d) - ((211*A + B*104i)*(a + a*tan(c + d*x)*1i)^3)/(12*a*d))/((a + a*tan(c + d*x)*1i)^(9/2) - 2*a*(a + a*tan(c + d*x)*1i)^(7/2) + a^2*(a + a*tan(c + d*x)*1i)^(5/2)) + 2*atanh((192*a*d^4*(a + a*tan(c + d*x)*1i)^(1/2)*(((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) + (3699*A^2)/(256*a^5*d^2) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2)*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/(643278*A^3*d - B^3*d*62322i - 407502*A*B^2*d + A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a) + (59152*A^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) + (3699*A^2)/(256*a^5*d^2) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2))/(643278*A^3*d - B^3*d*62322i - 407502*A*B^2*d + A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a) - (12784*B^2*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) + (3699*A^2)/(256*a^5*d^2) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2))/(643278*A^3*d - B^3*d*62322i - 407502*A*B^2*d + A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a) + (A*B*a^2*d^2*(a + a*tan(c + d*x)*1i)^(1/2)*(((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)/(64*a^6) + (3699*A^2)/(256*a^5*d^2) - (801*B^2)/(256*a^5*d^2) + (A*B*1719i)/(128*a^5*d^2))^(1/2)*55072i)/(643278*A^3*d - B^3*d*62322i - 407502*A*B^2*d + A^2*B*d*887274i + (680*A*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2))/a + (B*d^3*((13667809*A^4*a^2)/(16*d^4) + (638401*B^4*a^2)/(16*d^4) - (8877585*A^2*B^2*a^2)/(8*d^4) - (A*B^3*a^2*1375079i)/(4*d^4) + (A^3*B*a^2*6362537i)/(4*d^4))^(1/2)*328i)/a))*((4*d^2*((((3699*A^2*a)/4 - (801*B^2*a)/4)/d^2 + (A*B*a*1719i)/(2*d^2))^2 + 128*a^6*((((115*A*B^3)/32 + (989*A^3*B)/128)*1i)/(a^4*d^4) - ((1849*A^4)/256 + (1191*A^2*B^2)/256 + (25*B^4)/16)/(a^4*d^4)))^(1/2) + 3699*A^2*a - 801*B^2*a + A*B*a*3438i)/(256*a^6*d^2))^(1/2)","B"
112,1,161,130,10.116347,"\text{Not used}","int(tan(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\frac{2\,A\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\frac{A\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{d}+\frac{A\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,2{}\mathrm{i}}{5\,d}-\frac{2\,B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}+\frac{2\,B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,2{}\mathrm{i}}{7\,d}-\frac{{\left(-1\right)}^{1/4}\,A\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}+\frac{\sqrt{2}\,B\,a\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}","Not used",1,"(2*A*a*tan(c + d*x)^(3/2))/(3*d) - (A*a*tan(c + d*x)^(1/2)*2i)/d + (A*a*tan(c + d*x)^(5/2)*2i)/(5*d) - (2*B*a*tan(c + d*x)^(1/2))/d - (B*a*tan(c + d*x)^(3/2)*2i)/(3*d) + (2*B*a*tan(c + d*x)^(5/2))/(5*d) + (B*a*tan(c + d*x)^(7/2)*2i)/(7*d) - ((-1)^(1/4)*A*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2)*1i)*2i)/d + (2^(1/2)*B*a*atan(2^(1/2)*tan(c + d*x)^(1/2)*(1/2 - 1i/2))*(1 + 1i))/d","B"
113,1,130,105,8.398970,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\frac{2\,A\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{A\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}-\frac{B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{d}+\frac{2\,B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,2{}\mathrm{i}}{5\,d}+\frac{\sqrt{2}\,A\,a\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)}{d}-\frac{{\left(-1\right)}^{1/4}\,B\,a\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(2*A*a*tan(c + d*x)^(1/2))/d + (A*a*tan(c + d*x)^(3/2)*2i)/(3*d) - (B*a*tan(c + d*x)^(1/2)*2i)/d + (2*B*a*tan(c + d*x)^(3/2))/(3*d) + (B*a*tan(c + d*x)^(5/2)*2i)/(5*d) - (2^(1/2)*A*a*atan(2^(1/2)*tan(c + d*x)^(1/2)*(1/2 - 1i/2))*(1 + 1i))/d - ((-1)^(1/4)*B*a*atan((-1)^(1/4)*tan(c + d*x)^(1/2)*1i)*2i)/d","B"
114,1,99,80,7.709383,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\frac{A\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{d}+\frac{2\,B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}-\frac{2\,{\left(-1\right)}^{1/4}\,A\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)}{d}","Not used",1,"(A*a*tan(c + d*x)^(1/2)*2i)/d + (2*B*a*tan(c + d*x)^(1/2))/d + (B*a*tan(c + d*x)^(3/2)*2i)/(3*d) - (2*(-1)^(1/4)*A*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d - (2^(1/2)*B*a*atan(2^(1/2)*tan(c + d*x)^(1/2)*(1/2 - 1i/2))*(1 + 1i))/d","B"
115,1,68,55,7.080824,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/tan(c + d*x)^(1/2),x)","-\frac{2\,{\left(-1\right)}^{1/4}\,B\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{d}+\frac{\sqrt{2}\,A\,a\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}","Not used",1,"(B*a*tan(c + d*x)^(1/2)*2i)/d + (2^(1/2)*A*a*atan(2^(1/2)*tan(c + d*x)^(1/2)*(1/2 - 1i/2))*(1 + 1i))/d - (2*(-1)^(1/4)*B*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d","B"
116,1,67,53,6.965201,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/tan(c + d*x)^(3/2),x)","\frac{2\,{\left(-1\right)}^{1/4}\,A\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{2\,A\,a}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}+\frac{\sqrt{2}\,B\,a\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}","Not used",1,"(2*(-1)^(1/4)*A*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d - (2*A*a)/(d*tan(c + d*x)^(1/2)) + (2^(1/2)*B*a*atan(2^(1/2)*tan(c + d*x)^(1/2)*(1/2 - 1i/2))*(1 + 1i))/d","B"
117,1,99,78,7.532534,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/tan(c + d*x)^(5/2),x)","\frac{2\,{\left(-1\right)}^{1/4}\,B\,a\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{2\,B\,a}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{\frac{2\,A\,a}{3\,d}+\frac{A\,a\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\frac{\sqrt{2}\,A\,a\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)}{d}","Not used",1,"(2*(-1)^(1/4)*B*a*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/d - (2*B*a)/(d*tan(c + d*x)^(1/2)) - (2^(1/2)*A*a*atan(2^(1/2)*tan(c + d*x)^(1/2)*(1/2 - 1i/2))*(1 + 1i))/d - ((2*A*a)/(3*d) + (A*a*tan(c + d*x)*2i)/d)/tan(c + d*x)^(3/2)","B"
118,1,123,103,8.742313,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/tan(c + d*x)^(7/2),x)","-\frac{\frac{2\,B\,a}{3\,d}+\frac{B\,a\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\frac{\sqrt{2}\,B\,a\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(-1-\mathrm{i}\right)}{d}-\frac{2\,A\,a\,\left(15\,{\left(-1\right)}^{1/4}\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)-15\,{\mathrm{tan}\left(c+d\,x\right)}^2+3+\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}\right)}{15\,d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}","Not used",1,"- ((2*B*a)/(3*d) + (B*a*tan(c + d*x)*2i)/d)/tan(c + d*x)^(3/2) - (2^(1/2)*B*a*atan(2^(1/2)*tan(c + d*x)^(1/2)*(1/2 - 1i/2))*(1 + 1i))/d - (2*A*a*(tan(c + d*x)*5i - 15*tan(c + d*x)^2 + 15*(-1)^(1/4)*tan(c + d*x)^(5/2)*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)) + 3))/(15*d*tan(c + d*x)^(5/2))","B"
119,1,326,183,11.031420,"\text{Not used}","int(tan(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{4\,A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\frac{A\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}}{d}+\frac{A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,4{}\mathrm{i}}{5\,d}-\frac{2\,A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}-\frac{4\,B\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,4{}\mathrm{i}}{3\,d}+\frac{4\,B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,4{}\mathrm{i}}{7\,d}-\frac{2\,B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{9/2}}{9\,d}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(-4\,A\,a^2\,d+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,A\,a^2\,\ln\left(-4\,A\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(B\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,B\,a^2\,\ln\left(B\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(4*A*a^2*tan(c + d*x)^(3/2))/(3*d) - (A*a^2*tan(c + d*x)^(1/2)*4i)/d + (A*a^2*tan(c + d*x)^(5/2)*4i)/(5*d) - (2*A*a^2*tan(c + d*x)^(7/2))/(7*d) - (4*B*a^2*tan(c + d*x)^(1/2))/d - (B*a^2*tan(c + d*x)^(3/2)*4i)/(3*d) + (4*B*a^2*tan(c + d*x)^(5/2))/(5*d) + (B*a^2*tan(c + d*x)^(7/2)*4i)/(7*d) - (2*B*a^2*tan(c + d*x)^(9/2))/(9*d) + (2^(1/2)*A*a^2*log(- 4*A*a^2*d - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - (4i^(1/2)*A*a^2*log(2*4i^(1/2)*A*a^2*d*tan(c + d*x)^(1/2) - 4*A*a^2*d))/d + (2^(1/2)*B*a^2*log(B*a^2*d*4i - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - ((-4i)^(1/2)*B*a^2*log(B*a^2*d*4i + 2*(-4i)^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)))/d","B"
120,1,291,156,9.281475,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{4\,A\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,4{}\mathrm{i}}{3\,d}-\frac{2\,A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\frac{B\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}}{d}+\frac{4\,B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,4{}\mathrm{i}}{5\,d}-\frac{2\,B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(-A\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,A\,a^2\,\ln\left(-A\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(-4\,B\,a^2\,d+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,B\,a^2\,\ln\left(-4\,B\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(4*A*a^2*tan(c + d*x)^(1/2))/d + (A*a^2*tan(c + d*x)^(3/2)*4i)/(3*d) - (2*A*a^2*tan(c + d*x)^(5/2))/(5*d) - (B*a^2*tan(c + d*x)^(1/2)*4i)/d + (4*B*a^2*tan(c + d*x)^(3/2))/(3*d) + (B*a^2*tan(c + d*x)^(5/2)*4i)/(5*d) - (2*B*a^2*tan(c + d*x)^(7/2))/(7*d) + (2^(1/2)*A*a^2*log(- A*a^2*d*4i - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - ((-4i)^(1/2)*A*a^2*log(2*(-4i)^(1/2)*A*a^2*d*tan(c + d*x)^(1/2) - A*a^2*d*4i))/d + (2^(1/2)*B*a^2*log(- 4*B*a^2*d - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - (4i^(1/2)*B*a^2*log(2*4i^(1/2)*B*a^2*d*tan(c + d*x)^(1/2) - 4*B*a^2*d))/d","B"
121,1,256,129,7.731389,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\frac{A\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}}{d}-\frac{2\,A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{4\,B\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,4{}\mathrm{i}}{3\,d}-\frac{2\,B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(4\,A\,a^2\,d+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,A\,a^2\,\ln\left(4\,A\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(-B\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,B\,a^2\,\ln\left(-B\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(A*a^2*tan(c + d*x)^(1/2)*4i)/d - (2*A*a^2*tan(c + d*x)^(3/2))/(3*d) + (4*B*a^2*tan(c + d*x)^(1/2))/d + (B*a^2*tan(c + d*x)^(3/2)*4i)/(3*d) - (2*B*a^2*tan(c + d*x)^(5/2))/(5*d) + (2^(1/2)*A*a^2*log(4*A*a^2*d - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - (4i^(1/2)*A*a^2*log(4*A*a^2*d + 2*4i^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^2*log(- B*a^2*d*4i - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - ((-4i)^(1/2)*B*a^2*log(2*(-4i)^(1/2)*B*a^2*d*tan(c + d*x)^(1/2) - B*a^2*d*4i))/d","B"
122,1,221,104,6.844125,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2)/tan(c + d*x)^(1/2),x)","-\frac{2\,A\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{B\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}}{d}-\frac{2\,B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(A\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,A\,a^2\,\ln\left(A\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(4\,B\,a^2\,d+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,B\,a^2\,\ln\left(4\,B\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(B*a^2*tan(c + d*x)^(1/2)*4i)/d - (2*A*a^2*tan(c + d*x)^(1/2))/d - (2*B*a^2*tan(c + d*x)^(3/2))/(3*d) + (2^(1/2)*A*a^2*log(A*a^2*d*4i - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - ((-4i)^(1/2)*A*a^2*log(A*a^2*d*4i + 2*(-4i)^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^2*log(4*B*a^2*d - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - (4i^(1/2)*B*a^2*log(4*B*a^2*d + 2*4i^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)))/d","B"
123,1,203,98,6.718731,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2)/tan(c + d*x)^(3/2),x)","-\frac{2\,A\,a^2}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{2\,B\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(-4\,A\,a^2\,d+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,A\,a^2\,\ln\left(-4\,A\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(B\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,B\,a^2\,\ln\left(B\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^2*log(- 4*A*a^2*d - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - (2*B*a^2*tan(c + d*x)^(1/2))/d - (2*A*a^2)/(d*tan(c + d*x)^(1/2)) - (4i^(1/2)*A*a^2*log(2*4i^(1/2)*A*a^2*d*tan(c + d*x)^(1/2) - 4*A*a^2*d))/d + (2^(1/2)*B*a^2*log(B*a^2*d*4i - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - ((-4i)^(1/2)*B*a^2*log(B*a^2*d*4i + 2*(-4i)^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)))/d","B"
124,1,222,102,7.116778,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2)/tan(c + d*x)^(5/2),x)","-\frac{\frac{2\,A\,a^2}{3\,d}+\frac{A\,a^2\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{2\,B\,a^2}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(-A\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,A\,a^2\,\ln\left(-A\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(-4\,B\,a^2\,d+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,B\,a^2\,\ln\left(-4\,B\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^2*log(- A*a^2*d*4i - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - (2*B*a^2)/(d*tan(c + d*x)^(1/2)) - ((2*A*a^2)/(3*d) + (A*a^2*tan(c + d*x)*4i)/d)/tan(c + d*x)^(3/2) - ((-4i)^(1/2)*A*a^2*log(2*(-4i)^(1/2)*A*a^2*d*tan(c + d*x)^(1/2) - A*a^2*d*4i))/d + (2^(1/2)*B*a^2*log(- 4*B*a^2*d - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - (4i^(1/2)*B*a^2*log(2*4i^(1/2)*B*a^2*d*tan(c + d*x)^(1/2) - 4*B*a^2*d))/d","B"
125,1,258,127,7.990890,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2)/tan(c + d*x)^(7/2),x)","-\frac{\frac{2\,A\,a^2}{5\,d}-\frac{4\,A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d}+\frac{A\,a^2\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{3\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}-\frac{\frac{2\,B\,a^2}{3\,d}+\frac{B\,a^2\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(4\,A\,a^2\,d+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,A\,a^2\,\ln\left(4\,A\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(-B\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,B\,a^2\,\ln\left(-B\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^2*log(4*A*a^2*d - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - ((2*B*a^2)/(3*d) + (B*a^2*tan(c + d*x)*4i)/d)/tan(c + d*x)^(3/2) - ((2*A*a^2)/(5*d) + (A*a^2*tan(c + d*x)*4i)/(3*d) - (4*A*a^2*tan(c + d*x)^2)/d)/tan(c + d*x)^(5/2) - (4i^(1/2)*A*a^2*log(4*A*a^2*d + 2*4i^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^2*log(- B*a^2*d*4i - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - ((-4i)^(1/2)*B*a^2*log(2*(-4i)^(1/2)*B*a^2*d*tan(c + d*x)^(1/2) - B*a^2*d*4i))/d","B"
126,1,293,154,9.520078,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2)/tan(c + d*x)^(9/2),x)","-\frac{\frac{2\,A\,a^2}{7\,d}+\frac{A\,a^2\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{5\,d}-\frac{4\,A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{3\,d}-\frac{A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3\,4{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}-\frac{\frac{2\,B\,a^2}{5\,d}-\frac{4\,B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d}+\frac{B\,a^2\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{3\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}+\frac{\sqrt{2}\,A\,a^2\,\ln\left(A\,a^2\,d\,4{}\mathrm{i}+\sqrt{2}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2+2{}\mathrm{i}\right)\right)\,\left(1-\mathrm{i}\right)}{d}-\frac{\sqrt{-4{}\mathrm{i}}\,A\,a^2\,\ln\left(A\,a^2\,d\,4{}\mathrm{i}+2\,\sqrt{-4{}\mathrm{i}}\,A\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^2\,\ln\left(4\,B\,a^2\,d+\sqrt{2}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-2-2{}\mathrm{i}\right)\right)\,\left(1+1{}\mathrm{i}\right)}{d}-\frac{\sqrt{4{}\mathrm{i}}\,B\,a^2\,\ln\left(4\,B\,a^2\,d+2\,\sqrt{4{}\mathrm{i}}\,B\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^2*log(A*a^2*d*4i - 2^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)*(2 - 2i))*(1 - 1i))/d - ((2*B*a^2)/(5*d) + (B*a^2*tan(c + d*x)*4i)/(3*d) - (4*B*a^2*tan(c + d*x)^2)/d)/tan(c + d*x)^(5/2) - ((2*A*a^2)/(7*d) + (A*a^2*tan(c + d*x)*4i)/(5*d) - (4*A*a^2*tan(c + d*x)^2)/(3*d) - (A*a^2*tan(c + d*x)^3*4i)/d)/tan(c + d*x)^(7/2) - ((-4i)^(1/2)*A*a^2*log(A*a^2*d*4i + 2*(-4i)^(1/2)*A*a^2*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^2*log(4*B*a^2*d - 2^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)*(2 + 2i))*(1 + 1i))/d - (4i^(1/2)*B*a^2*log(4*B*a^2*d + 2*4i^(1/2)*B*a^2*d*tan(c + d*x)^(1/2)))/d","B"
127,1,327,198,10.946306,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\frac{8\,A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,8{}\mathrm{i}}{3\,d}-\frac{6\,A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\frac{A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,2{}\mathrm{i}}{7\,d}-\frac{B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,8{}\mathrm{i}}{d}+\frac{8\,B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,8{}\mathrm{i}}{5\,d}-\frac{6\,B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{9/2}\,2{}\mathrm{i}}{9\,d}+\frac{\sqrt{2}\,A\,a^3\,\ln\left(-A\,a^3\,d\,8{}\mathrm{i}+\sqrt{2}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(2-2{}\mathrm{i}\right)}{d}-\frac{\sqrt{-16{}\mathrm{i}}\,A\,a^3\,\ln\left(-A\,a^3\,d\,8{}\mathrm{i}+2\,\sqrt{-16{}\mathrm{i}}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^3\,\ln\left(-8\,B\,a^3\,d+\sqrt{2}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(2+2{}\mathrm{i}\right)}{d}-\frac{\sqrt{16{}\mathrm{i}}\,B\,a^3\,\ln\left(-8\,B\,a^3\,d+2\,\sqrt{16{}\mathrm{i}}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(8*A*a^3*tan(c + d*x)^(1/2))/d + (A*a^3*tan(c + d*x)^(3/2)*8i)/(3*d) - (6*A*a^3*tan(c + d*x)^(5/2))/(5*d) - (A*a^3*tan(c + d*x)^(7/2)*2i)/(7*d) - (B*a^3*tan(c + d*x)^(1/2)*8i)/d + (8*B*a^3*tan(c + d*x)^(3/2))/(3*d) + (B*a^3*tan(c + d*x)^(5/2)*8i)/(5*d) - (6*B*a^3*tan(c + d*x)^(7/2))/(7*d) - (B*a^3*tan(c + d*x)^(9/2)*2i)/(9*d) + (2^(1/2)*A*a^3*log(- A*a^3*d*8i - 2^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)*(4 - 4i))*(2 - 2i))/d - ((-16i)^(1/2)*A*a^3*log(2*(-16i)^(1/2)*A*a^3*d*tan(c + d*x)^(1/2) - A*a^3*d*8i))/d + (2^(1/2)*B*a^3*log(- 8*B*a^3*d - 2^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)*(4 + 4i))*(2 + 2i))/d - (16i^(1/2)*B*a^3*log(2*16i^(1/2)*B*a^3*d*tan(c + d*x)^(1/2) - 8*B*a^3*d))/d","B"
128,1,292,171,8.921408,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\frac{A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,8{}\mathrm{i}}{d}-\frac{2\,A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{d}-\frac{A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,2{}\mathrm{i}}{5\,d}+\frac{8\,B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,8{}\mathrm{i}}{3\,d}-\frac{6\,B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,2{}\mathrm{i}}{7\,d}+\frac{\sqrt{2}\,A\,a^3\,\ln\left(8\,A\,a^3\,d+\sqrt{2}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(2+2{}\mathrm{i}\right)}{d}-\frac{\sqrt{16{}\mathrm{i}}\,A\,a^3\,\ln\left(8\,A\,a^3\,d+2\,\sqrt{16{}\mathrm{i}}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^3\,\ln\left(-B\,a^3\,d\,8{}\mathrm{i}+\sqrt{2}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(2-2{}\mathrm{i}\right)}{d}-\frac{\sqrt{-16{}\mathrm{i}}\,B\,a^3\,\ln\left(-B\,a^3\,d\,8{}\mathrm{i}+2\,\sqrt{-16{}\mathrm{i}}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(A*a^3*tan(c + d*x)^(1/2)*8i)/d - (2*A*a^3*tan(c + d*x)^(3/2))/d - (A*a^3*tan(c + d*x)^(5/2)*2i)/(5*d) + (8*B*a^3*tan(c + d*x)^(1/2))/d + (B*a^3*tan(c + d*x)^(3/2)*8i)/(3*d) - (6*B*a^3*tan(c + d*x)^(5/2))/(5*d) - (B*a^3*tan(c + d*x)^(7/2)*2i)/(7*d) + (2^(1/2)*A*a^3*log(8*A*a^3*d - 2^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)*(4 + 4i))*(2 + 2i))/d - (16i^(1/2)*A*a^3*log(8*A*a^3*d + 2*16i^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^3*log(- B*a^3*d*8i - 2^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)*(4 - 4i))*(2 - 2i))/d - ((-16i)^(1/2)*B*a^3*log(2*(-16i)^(1/2)*B*a^3*d*tan(c + d*x)^(1/2) - B*a^3*d*8i))/d","B"
129,1,257,146,7.160657,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3)/tan(c + d*x)^(1/2),x)","-\frac{6\,A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}+\frac{B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,8{}\mathrm{i}}{d}-\frac{2\,B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,2{}\mathrm{i}}{5\,d}+\frac{\sqrt{2}\,A\,a^3\,\ln\left(A\,a^3\,d\,8{}\mathrm{i}+\sqrt{2}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(2-2{}\mathrm{i}\right)}{d}-\frac{\sqrt{-16{}\mathrm{i}}\,A\,a^3\,\ln\left(A\,a^3\,d\,8{}\mathrm{i}+2\,\sqrt{-16{}\mathrm{i}}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^3\,\ln\left(8\,B\,a^3\,d+\sqrt{2}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(2+2{}\mathrm{i}\right)}{d}-\frac{\sqrt{16{}\mathrm{i}}\,B\,a^3\,\ln\left(8\,B\,a^3\,d+2\,\sqrt{16{}\mathrm{i}}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(B*a^3*tan(c + d*x)^(1/2)*8i)/d - (A*a^3*tan(c + d*x)^(3/2)*2i)/(3*d) - (6*A*a^3*tan(c + d*x)^(1/2))/d - (2*B*a^3*tan(c + d*x)^(3/2))/d - (B*a^3*tan(c + d*x)^(5/2)*2i)/(5*d) + (2^(1/2)*A*a^3*log(A*a^3*d*8i - 2^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)*(4 - 4i))*(2 - 2i))/d - ((-16i)^(1/2)*A*a^3*log(A*a^3*d*8i + 2*(-16i)^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^3*log(8*B*a^3*d - 2^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)*(4 + 4i))*(2 + 2i))/d - (16i^(1/2)*B*a^3*log(8*B*a^3*d + 2*16i^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)))/d","B"
130,1,239,134,6.896093,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3)/tan(c + d*x)^(3/2),x)","-\frac{2\,A\,a^3}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{d}-\frac{6\,B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{3\,d}+\frac{\sqrt{2}\,A\,a^3\,\ln\left(-8\,A\,a^3\,d+\sqrt{2}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(2+2{}\mathrm{i}\right)}{d}-\frac{\sqrt{16{}\mathrm{i}}\,A\,a^3\,\ln\left(-8\,A\,a^3\,d+2\,\sqrt{16{}\mathrm{i}}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^3\,\ln\left(B\,a^3\,d\,8{}\mathrm{i}+\sqrt{2}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(2-2{}\mathrm{i}\right)}{d}-\frac{\sqrt{-16{}\mathrm{i}}\,B\,a^3\,\ln\left(B\,a^3\,d\,8{}\mathrm{i}+2\,\sqrt{-16{}\mathrm{i}}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^3*log(- 8*A*a^3*d - 2^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)*(4 + 4i))*(2 + 2i))/d - (A*a^3*tan(c + d*x)^(1/2)*2i)/d - (6*B*a^3*tan(c + d*x)^(1/2))/d - (B*a^3*tan(c + d*x)^(3/2)*2i)/(3*d) - (2*A*a^3)/(d*tan(c + d*x)^(1/2)) - (16i^(1/2)*A*a^3*log(2*16i^(1/2)*A*a^3*d*tan(c + d*x)^(1/2) - 8*A*a^3*d))/d + (2^(1/2)*B*a^3*log(B*a^3*d*8i - 2^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)*(4 - 4i))*(2 - 2i))/d - ((-16i)^(1/2)*B*a^3*log(B*a^3*d*8i + 2*(-16i)^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)))/d","B"
131,1,240,136,7.057104,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3)/tan(c + d*x)^(5/2),x)","-\frac{\frac{2\,A\,a^3}{3\,d}+\frac{A\,a^3\,\mathrm{tan}\left(c+d\,x\right)\,6{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{2\,B\,a^3}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{d}+\frac{\sqrt{2}\,A\,a^3\,\ln\left(-A\,a^3\,d\,8{}\mathrm{i}+\sqrt{2}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(2-2{}\mathrm{i}\right)}{d}-\frac{\sqrt{-16{}\mathrm{i}}\,A\,a^3\,\ln\left(-A\,a^3\,d\,8{}\mathrm{i}+2\,\sqrt{-16{}\mathrm{i}}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^3\,\ln\left(-8\,B\,a^3\,d+\sqrt{2}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(2+2{}\mathrm{i}\right)}{d}-\frac{\sqrt{16{}\mathrm{i}}\,B\,a^3\,\ln\left(-8\,B\,a^3\,d+2\,\sqrt{16{}\mathrm{i}}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^3*log(- A*a^3*d*8i - 2^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)*(4 - 4i))*(2 - 2i))/d - (2*B*a^3)/(d*tan(c + d*x)^(1/2)) - (B*a^3*tan(c + d*x)^(1/2)*2i)/d - ((2*A*a^3)/(3*d) + (A*a^3*tan(c + d*x)*6i)/d)/tan(c + d*x)^(3/2) - ((-16i)^(1/2)*A*a^3*log(2*(-16i)^(1/2)*A*a^3*d*tan(c + d*x)^(1/2) - A*a^3*d*8i))/d + (2^(1/2)*B*a^3*log(- 8*B*a^3*d - 2^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)*(4 + 4i))*(2 + 2i))/d - (16i^(1/2)*B*a^3*log(2*16i^(1/2)*B*a^3*d*tan(c + d*x)^(1/2) - 8*B*a^3*d))/d","B"
132,1,258,144,7.386406,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3)/tan(c + d*x)^(7/2),x)","-\frac{\frac{2\,A\,a^3}{5\,d}-\frac{8\,A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d}+\frac{A\,a^3\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}-\frac{\frac{2\,B\,a^3}{3\,d}+\frac{B\,a^3\,\mathrm{tan}\left(c+d\,x\right)\,6{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}+\frac{\sqrt{2}\,A\,a^3\,\ln\left(8\,A\,a^3\,d+\sqrt{2}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(2+2{}\mathrm{i}\right)}{d}-\frac{\sqrt{16{}\mathrm{i}}\,A\,a^3\,\ln\left(8\,A\,a^3\,d+2\,\sqrt{16{}\mathrm{i}}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^3\,\ln\left(-B\,a^3\,d\,8{}\mathrm{i}+\sqrt{2}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(2-2{}\mathrm{i}\right)}{d}-\frac{\sqrt{-16{}\mathrm{i}}\,B\,a^3\,\ln\left(-B\,a^3\,d\,8{}\mathrm{i}+2\,\sqrt{-16{}\mathrm{i}}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^3*log(8*A*a^3*d - 2^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)*(4 + 4i))*(2 + 2i))/d - ((2*B*a^3)/(3*d) + (B*a^3*tan(c + d*x)*6i)/d)/tan(c + d*x)^(3/2) - ((2*A*a^3)/(5*d) + (A*a^3*tan(c + d*x)*2i)/d - (8*A*a^3*tan(c + d*x)^2)/d)/tan(c + d*x)^(5/2) - (16i^(1/2)*A*a^3*log(8*A*a^3*d + 2*16i^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^3*log(- B*a^3*d*8i - 2^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)*(4 - 4i))*(2 - 2i))/d - ((-16i)^(1/2)*B*a^3*log(2*(-16i)^(1/2)*B*a^3*d*tan(c + d*x)^(1/2) - B*a^3*d*8i))/d","B"
133,1,293,169,9.520009,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3)/tan(c + d*x)^(9/2),x)","-\frac{\frac{2\,A\,a^3}{7\,d}+\frac{A\,a^3\,\mathrm{tan}\left(c+d\,x\right)\,6{}\mathrm{i}}{5\,d}-\frac{8\,A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{3\,d}-\frac{A\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,8{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}-\frac{\frac{2\,B\,a^3}{5\,d}-\frac{8\,B\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d}+\frac{B\,a^3\,\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{d}}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}+\frac{\sqrt{2}\,A\,a^3\,\ln\left(A\,a^3\,d\,8{}\mathrm{i}+\sqrt{2}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4+4{}\mathrm{i}\right)\right)\,\left(2-2{}\mathrm{i}\right)}{d}-\frac{\sqrt{-16{}\mathrm{i}}\,A\,a^3\,\ln\left(A\,a^3\,d\,8{}\mathrm{i}+2\,\sqrt{-16{}\mathrm{i}}\,A\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{\sqrt{2}\,B\,a^3\,\ln\left(8\,B\,a^3\,d+\sqrt{2}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4-4{}\mathrm{i}\right)\right)\,\left(2+2{}\mathrm{i}\right)}{d}-\frac{\sqrt{16{}\mathrm{i}}\,B\,a^3\,\ln\left(8\,B\,a^3\,d+2\,\sqrt{16{}\mathrm{i}}\,B\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{d}","Not used",1,"(2^(1/2)*A*a^3*log(A*a^3*d*8i - 2^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)*(4 - 4i))*(2 - 2i))/d - ((2*B*a^3)/(5*d) + (B*a^3*tan(c + d*x)*2i)/d - (8*B*a^3*tan(c + d*x)^2)/d)/tan(c + d*x)^(5/2) - ((2*A*a^3)/(7*d) + (A*a^3*tan(c + d*x)*6i)/(5*d) - (8*A*a^3*tan(c + d*x)^2)/(3*d) - (A*a^3*tan(c + d*x)^3*8i)/d)/tan(c + d*x)^(7/2) - ((-16i)^(1/2)*A*a^3*log(A*a^3*d*8i + 2*(-16i)^(1/2)*A*a^3*d*tan(c + d*x)^(1/2)))/d + (2^(1/2)*B*a^3*log(8*B*a^3*d - 2^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)*(4 + 4i))*(2 + 2i))/d - (16i^(1/2)*B*a^3*log(8*B*a^3*d + 2*16i^(1/2)*B*a^3*d*tan(c + d*x)^(1/2)))/d","B"
134,1,305,306,11.328299,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\mathrm{atan}\left(\frac{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{a^2\,d^2}}\,1{}\mathrm{i}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{a^2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,4{}\mathrm{i}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{2\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,9{}\mathrm{i}}{4\,a^2\,d^2}}}{3\,B}\right)\,\sqrt{\frac{B^2\,9{}\mathrm{i}}{4\,a^2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}-\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{a\,d}+\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a\,d}-\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{3\,a\,d}-\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"atan((a*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(a^2*d^2))^(1/2)*1i)/A)*(-(A^2*1i)/(a^2*d^2))^(1/2)*2i - atan((a*d*tan(c + d*x)^(1/2)*((A^2*1i)/(16*a^2*d^2))^(1/2)*4i)/A)*((A^2*1i)/(16*a^2*d^2))^(1/2)*2i + atan((2*a*d*tan(c + d*x)^(1/2)*((B^2*9i)/(4*a^2*d^2))^(1/2))/(3*B))*((B^2*9i)/(4*a^2*d^2))^(1/2)*2i + atan((4*a*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(16*a^2*d^2))^(1/2))/B)*(-(B^2*1i)/(16*a^2*d^2))^(1/2)*2i - (A*tan(c + d*x)^(1/2)*2i)/(a*d) + (2*B*tan(c + d*x)^(1/2))/(a*d) - (B*tan(c + d*x)^(3/2)*2i)/(3*a*d) - (A*tan(c + d*x)^(1/2)*1i)/(2*a*d*(tan(c + d*x)*1i + 1)) + (B*tan(c + d*x)^(1/2))/(2*a*d*(tan(c + d*x)*1i + 1))","B"
135,1,270,275,10.608909,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","-\mathrm{atan}\left(\frac{2\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{a^2\,d^2}}\,1{}\mathrm{i}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{a^2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,4{}\mathrm{i}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}-\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{a\,d}-\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"atan((a*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(a^2*d^2))^(1/2)*1i)/B)*(-(B^2*1i)/(a^2*d^2))^(1/2)*2i - atan((4*a*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(16*a^2*d^2))^(1/2))/A)*(-(A^2*1i)/(16*a^2*d^2))^(1/2)*2i - atan((2*a*d*tan(c + d*x)^(1/2)*((A^2*1i)/(4*a^2*d^2))^(1/2))/A)*((A^2*1i)/(4*a^2*d^2))^(1/2)*2i - atan((a*d*tan(c + d*x)^(1/2)*((B^2*1i)/(16*a^2*d^2))^(1/2)*4i)/B)*((B^2*1i)/(16*a^2*d^2))^(1/2)*2i - (B*tan(c + d*x)^(1/2)*2i)/(a*d) - (A*tan(c + d*x)^(1/2))/(2*a*d*(tan(c + d*x)*1i + 1)) - (B*tan(c + d*x)^(1/2)*1i)/(2*a*d*(tan(c + d*x)*1i + 1))","B"
136,1,184,236,8.508214,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","-\mathrm{atan}\left(\frac{2\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}-\frac{2\,\sqrt{\frac{1}{16}{}\mathrm{i}}\,A\,\mathrm{atanh}\left(4\,\sqrt{\frac{1}{16}{}\mathrm{i}}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{a\,d}+\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(A*tan(c + d*x)^(1/2)*1i)/(2*a*d*(tan(c + d*x)*1i + 1)) - atan((4*a*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(16*a^2*d^2))^(1/2))/B)*(-(B^2*1i)/(16*a^2*d^2))^(1/2)*2i - (2*(1i/16)^(1/2)*A*atanh(4*(1i/16)^(1/2)*tan(c + d*x)^(1/2)))/(a*d) - atan((2*a*d*tan(c + d*x)^(1/2)*((B^2*1i)/(4*a^2*d^2))^(1/2))/B)*((B^2*1i)/(4*a^2*d^2))^(1/2)*2i - (B*tan(c + d*x)^(1/2))/(2*a*d*(tan(c + d*x)*1i + 1))","B"
137,1,184,234,7.203546,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)),x)","-\mathrm{atan}\left(\frac{2\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}-\frac{2\,\sqrt{\frac{1}{16}{}\mathrm{i}}\,B\,\mathrm{atanh}\left(4\,\sqrt{\frac{1}{16}{}\mathrm{i}}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{a\,d}+\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"atan((4*a*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(16*a^2*d^2))^(1/2))/A)*(-(A^2*1i)/(16*a^2*d^2))^(1/2)*2i - atan((2*a*d*tan(c + d*x)^(1/2)*((A^2*1i)/(4*a^2*d^2))^(1/2))/A)*((A^2*1i)/(4*a^2*d^2))^(1/2)*2i - (2*(1i/16)^(1/2)*B*atanh(4*(1i/16)^(1/2)*tan(c + d*x)^(1/2)))/(a*d) + (A*tan(c + d*x)^(1/2))/(2*a*d*(tan(c + d*x)*1i + 1)) + (B*tan(c + d*x)^(1/2)*1i)/(2*a*d*(tan(c + d*x)*1i + 1))","B"
138,1,266,267,7.366486,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)),x)","2\,\mathrm{atanh}\left(\frac{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{a^2\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{a^2\,d^2}}+2\,\mathrm{atanh}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}-\mathrm{atan}\left(\frac{2\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,a^2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}-\frac{\frac{2\,A}{a\,d}+\frac{A\,\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}}{2\,a\,d}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}+{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,1{}\mathrm{i}}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"2*atanh((a*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(a^2*d^2))^(1/2))/A)*(-(A^2*1i)/(a^2*d^2))^(1/2) + 2*atanh((4*a*d*tan(c + d*x)^(1/2)*((A^2*1i)/(16*a^2*d^2))^(1/2))/A)*((A^2*1i)/(16*a^2*d^2))^(1/2) - atan((2*a*d*tan(c + d*x)^(1/2)*((B^2*1i)/(4*a^2*d^2))^(1/2))/B)*((B^2*1i)/(4*a^2*d^2))^(1/2)*2i + atan((4*a*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(16*a^2*d^2))^(1/2))/B)*(-(B^2*1i)/(16*a^2*d^2))^(1/2)*2i - ((2*A)/(a*d) + (A*tan(c + d*x)*5i)/(2*a*d))/(tan(c + d*x)^(1/2) + tan(c + d*x)^(3/2)*1i) + (B*tan(c + d*x)^(1/2))/(2*a*d*(tan(c + d*x)*1i + 1))","B"
139,1,303,296,9.815651,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)),x)","\mathrm{atan}\left(\frac{2\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,9{}\mathrm{i}}{4\,a^2\,d^2}}}{3\,A}\right)\,\sqrt{\frac{A^2\,9{}\mathrm{i}}{4\,a^2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}\,2{}\mathrm{i}+2\,\mathrm{atanh}\left(\frac{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{a^2\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{a^2\,d^2}}+2\,\mathrm{atanh}\left(\frac{4\,a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{16\,a^2\,d^2}}-\frac{\frac{2\,A}{3\,a\,d}+\frac{5\,A\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,a\,d}-\frac{A\,\mathrm{tan}\left(c+d\,x\right)\,4{}\mathrm{i}}{3\,a\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,1{}\mathrm{i}}-\frac{\frac{2\,B}{a\,d}+\frac{B\,\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}}{2\,a\,d}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}+{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,1{}\mathrm{i}}","Not used",1,"atan((2*a*d*tan(c + d*x)^(1/2)*((A^2*9i)/(4*a^2*d^2))^(1/2))/(3*A))*((A^2*9i)/(4*a^2*d^2))^(1/2)*2i - atan((4*a*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(16*a^2*d^2))^(1/2))/A)*(-(A^2*1i)/(16*a^2*d^2))^(1/2)*2i + 2*atanh((a*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(a^2*d^2))^(1/2))/B)*(-(B^2*1i)/(a^2*d^2))^(1/2) + 2*atanh((4*a*d*tan(c + d*x)^(1/2)*((B^2*1i)/(16*a^2*d^2))^(1/2))/B)*((B^2*1i)/(16*a^2*d^2))^(1/2) - ((2*A)/(3*a*d) - (A*tan(c + d*x)*4i)/(3*a*d) + (5*A*tan(c + d*x)^2)/(2*a*d))/(tan(c + d*x)^(3/2) + tan(c + d*x)^(5/2)*1i) - ((2*B)/(a*d) + (B*tan(c + d*x)*5i)/(2*a*d))/(tan(c + d*x)^(1/2) + tan(c + d*x)^(3/2)*1i)","B"
140,1,334,316,9.779699,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{5\,A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^2\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,7{}\mathrm{i}}{8\,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{-\frac{11\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{8\,a^2\,d}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,9{}\mathrm{i}}{8\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}+2\,\mathrm{atanh}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}}{7\,A}\right)\,\sqrt{-\frac{A^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}-\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a^2\,d}+\mathrm{atan}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,529{}\mathrm{i}}{256\,a^4\,d^2}}}{23\,B}\right)\,\sqrt{\frac{B^2\,529{}\mathrm{i}}{256\,a^4\,d^2}}\,2{}\mathrm{i}","Not used",1,"((5*A*tan(c + d*x)^(1/2))/(8*a^2*d) + (A*tan(c + d*x)^(3/2)*7i)/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + ((B*tan(c + d*x)^(1/2)*9i)/(8*a^2*d) - (11*B*tan(c + d*x)^(3/2))/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + 2*atanh((8*a^2*d*tan(c + d*x)^(1/2)*((A^2*1i)/(64*a^4*d^2))^(1/2))/A)*((A^2*1i)/(64*a^4*d^2))^(1/2) + 2*atanh((16*a^2*d*tan(c + d*x)^(1/2)*(-(A^2*49i)/(256*a^4*d^2))^(1/2))/(7*A))*(-(A^2*49i)/(256*a^4*d^2))^(1/2) + atan((8*a^2*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(64*a^4*d^2))^(1/2))/B)*(-(B^2*1i)/(64*a^4*d^2))^(1/2)*2i - atan((16*a^2*d*tan(c + d*x)^(1/2)*((B^2*529i)/(256*a^4*d^2))^(1/2))/(23*B))*((B^2*529i)/(256*a^4*d^2))^(1/2)*2i - (2*B*tan(c + d*x)^(1/2))/(a^2*d)","B"
141,1,318,277,9.814165,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{-\frac{3\,A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{8\,a^2\,d}+\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{8\,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{\frac{5\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^2\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,7{}\mathrm{i}}{8\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}-\mathrm{atan}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}\,2{}\mathrm{i}+2\,\mathrm{atanh}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}}{7\,B}\right)\,\sqrt{-\frac{B^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}","Not used",1,"((5*B*tan(c + d*x)^(1/2))/(8*a^2*d) + (B*tan(c + d*x)^(3/2)*7i)/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) - ((A*tan(c + d*x)^(1/2)*1i)/(8*a^2*d) - (3*A*tan(c + d*x)^(3/2))/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) - atan((8*a^2*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(64*a^4*d^2))^(1/2))/A)*(-(A^2*1i)/(64*a^4*d^2))^(1/2)*2i - atan((16*a^2*d*tan(c + d*x)^(1/2)*((A^2*1i)/(256*a^4*d^2))^(1/2))/A)*((A^2*1i)/(256*a^4*d^2))^(1/2)*2i + 2*atanh((8*a^2*d*tan(c + d*x)^(1/2)*((B^2*1i)/(64*a^4*d^2))^(1/2))/B)*((B^2*1i)/(64*a^4*d^2))^(1/2) + 2*atanh((16*a^2*d*tan(c + d*x)^(1/2)*(-(B^2*49i)/(256*a^4*d^2))^(1/2))/(7*B))*(-(B^2*49i)/(256*a^4*d^2))^(1/2)","B"
142,1,318,279,9.750466,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\frac{3\,A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^2\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,1{}\mathrm{i}}{8\,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{-\frac{3\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{8\,a^2\,d}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{8\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}-2\,\mathrm{atanh}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}-\mathrm{atan}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}\,2{}\mathrm{i}","Not used",1,"((3*A*tan(c + d*x)^(1/2))/(8*a^2*d) + (A*tan(c + d*x)^(3/2)*1i)/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) - ((B*tan(c + d*x)^(1/2)*1i)/(8*a^2*d) - (3*B*tan(c + d*x)^(3/2))/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) - 2*atanh((8*a^2*d*tan(c + d*x)^(1/2)*((A^2*1i)/(64*a^4*d^2))^(1/2))/A)*((A^2*1i)/(64*a^4*d^2))^(1/2) + 2*atanh((16*a^2*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(256*a^4*d^2))^(1/2))/A)*(-(A^2*1i)/(256*a^4*d^2))^(1/2) - atan((8*a^2*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(64*a^4*d^2))^(1/2))/B)*(-(B^2*1i)/(64*a^4*d^2))^(1/2)*2i - atan((16*a^2*d*tan(c + d*x)^(1/2)*((B^2*1i)/(256*a^4*d^2))^(1/2))/B)*((B^2*1i)/(256*a^4*d^2))^(1/2)*2i","B"
143,1,318,285,9.680404,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^2),x)","-\frac{-\frac{5\,A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{8\,a^2\,d}+\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,7{}\mathrm{i}}{8\,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{\frac{3\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^2\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,1{}\mathrm{i}}{8\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}+\mathrm{atan}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}}{7\,A}\right)\,\sqrt{\frac{A^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}\,2{}\mathrm{i}-2\,\mathrm{atanh}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^4\,d^2}}","Not used",1,"((3*B*tan(c + d*x)^(1/2))/(8*a^2*d) + (B*tan(c + d*x)^(3/2)*1i)/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) - ((A*tan(c + d*x)^(1/2)*7i)/(8*a^2*d) - (5*A*tan(c + d*x)^(3/2))/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + atan((8*a^2*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(64*a^4*d^2))^(1/2))/A)*(-(A^2*1i)/(64*a^4*d^2))^(1/2)*2i - atan((16*a^2*d*tan(c + d*x)^(1/2)*((A^2*49i)/(256*a^4*d^2))^(1/2))/(7*A))*((A^2*49i)/(256*a^4*d^2))^(1/2)*2i - 2*atanh((8*a^2*d*tan(c + d*x)^(1/2)*((B^2*1i)/(64*a^4*d^2))^(1/2))/B)*((B^2*1i)/(64*a^4*d^2))^(1/2) + 2*atanh((16*a^2*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(256*a^4*d^2))^(1/2))/B)*(-(B^2*1i)/(256*a^4*d^2))^(1/2)","B"
144,1,338,318,9.825313,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^2),x)","-\frac{-\frac{5\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{8\,a^2\,d}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,7{}\mathrm{i}}{8\,a^2\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}}+2\,\mathrm{atanh}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,529{}\mathrm{i}}{256\,a^4\,d^2}}}{23\,A}\right)\,\sqrt{-\frac{A^2\,529{}\mathrm{i}}{256\,a^4\,d^2}}+\mathrm{atan}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}}{7\,B}\right)\,\sqrt{\frac{B^2\,49{}\mathrm{i}}{256\,a^4\,d^2}}\,2{}\mathrm{i}-\frac{\frac{43\,A\,\mathrm{tan}\left(c+d\,x\right)}{8\,a^2\,d}-\frac{A\,2{}\mathrm{i}}{a^2\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^2\,25{}\mathrm{i}}{8\,a^2\,d}}{2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,1{}\mathrm{i}}","Not used",1,"2*atanh((8*a^2*d*tan(c + d*x)^(1/2)*((A^2*1i)/(64*a^4*d^2))^(1/2))/A)*((A^2*1i)/(64*a^4*d^2))^(1/2) - ((B*tan(c + d*x)^(1/2)*7i)/(8*a^2*d) - (5*B*tan(c + d*x)^(3/2))/(8*a^2*d))/(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i) + 2*atanh((16*a^2*d*tan(c + d*x)^(1/2)*(-(A^2*529i)/(256*a^4*d^2))^(1/2))/(23*A))*(-(A^2*529i)/(256*a^4*d^2))^(1/2) + atan((8*a^2*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(64*a^4*d^2))^(1/2))/B)*(-(B^2*1i)/(64*a^4*d^2))^(1/2)*2i - atan((16*a^2*d*tan(c + d*x)^(1/2)*((B^2*49i)/(256*a^4*d^2))^(1/2))/(7*B))*((B^2*49i)/(256*a^4*d^2))^(1/2)*2i - ((43*A*tan(c + d*x))/(8*a^2*d) - (A*2i)/(a^2*d) + (A*tan(c + d*x)^2*25i)/(8*a^2*d))/(2*tan(c + d*x)^(3/2) - tan(c + d*x)^(1/2)*1i + tan(c + d*x)^(5/2)*1i)","B"
145,1,373,347,10.478529,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^2),x)","-\mathrm{atan}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,2209{}\mathrm{i}}{256\,a^4\,d^2}}}{47\,A}\right)\,\sqrt{\frac{A^2\,2209{}\mathrm{i}}{256\,a^4\,d^2}}\,2{}\mathrm{i}+2\,\mathrm{atanh}\left(\frac{8\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{64\,a^4\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^2\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,529{}\mathrm{i}}{256\,a^4\,d^2}}}{23\,B}\right)\,\sqrt{-\frac{B^2\,529{}\mathrm{i}}{256\,a^4\,d^2}}+\frac{\frac{8\,A\,\mathrm{tan}\left(c+d\,x\right)}{3\,a^2\,d}-\frac{45\,A\,{\mathrm{tan}\left(c+d\,x\right)}^3}{8\,a^2\,d}+\frac{A\,2{}\mathrm{i}}{3\,a^2\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^2\,221{}\mathrm{i}}{24\,a^2\,d}}{2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}-{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,1{}\mathrm{i}}-\frac{\frac{43\,B\,\mathrm{tan}\left(c+d\,x\right)}{8\,a^2\,d}-\frac{B\,2{}\mathrm{i}}{a^2\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^2\,25{}\mathrm{i}}{8\,a^2\,d}}{2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,1{}\mathrm{i}}","Not used",1,"atan((16*a^2*d*tan(c + d*x)^(1/2)*((A^2*2209i)/(256*a^4*d^2))^(1/2))/(47*A))*((A^2*2209i)/(256*a^4*d^2))^(1/2)*2i - atan((8*a^2*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(64*a^4*d^2))^(1/2))/A)*(-(A^2*1i)/(64*a^4*d^2))^(1/2)*2i + 2*atanh((8*a^2*d*tan(c + d*x)^(1/2)*((B^2*1i)/(64*a^4*d^2))^(1/2))/B)*((B^2*1i)/(64*a^4*d^2))^(1/2) + 2*atanh((16*a^2*d*tan(c + d*x)^(1/2)*(-(B^2*529i)/(256*a^4*d^2))^(1/2))/(23*B))*(-(B^2*529i)/(256*a^4*d^2))^(1/2) + ((A*2i)/(3*a^2*d) + (8*A*tan(c + d*x))/(3*a^2*d) + (A*tan(c + d*x)^2*221i)/(24*a^2*d) - (45*A*tan(c + d*x)^3)/(8*a^2*d))/(2*tan(c + d*x)^(5/2) - tan(c + d*x)^(3/2)*1i + tan(c + d*x)^(7/2)*1i) - ((43*B*tan(c + d*x))/(8*a^2*d) - (B*2i)/(a^2*d) + (B*tan(c + d*x)^2*25i)/(8*a^2*d))/(2*tan(c + d*x)^(3/2) - tan(c + d*x)^(1/2)*1i + tan(c + d*x)^(5/2)*1i)","B"
146,1,431,393,10.215140,"\text{Not used}","int((tan(c + d*x)^(9/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\mathrm{atan}\left(\frac{a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,16{}\mathrm{i}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}\,16{}\mathrm{i}}{29\,A}\right)\,\sqrt{-\frac{A^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{4\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,361{}\mathrm{i}}{16\,a^6\,d^2}}}{19\,B}\right)\,\sqrt{\frac{B^2\,361{}\mathrm{i}}{16\,a^6\,d^2}}\,2{}\mathrm{i}-\frac{\frac{49\,A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{12\,a^3\,d}-\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,7{}\mathrm{i}}{4\,a^3\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,5{}\mathrm{i}}{2\,a^3\,d}}{-{\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}-\frac{\frac{27\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^3\,d}-\frac{35\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{8\,a^3\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,91{}\mathrm{i}}{12\,a^3\,d}}{-{\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}+\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{a^3\,d}-\frac{6\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a^3\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{3\,a^3\,d}","Not used",1,"atan((a^3*d*tan(c + d*x)^(1/2)*((A^2*1i)/(256*a^6*d^2))^(1/2)*16i)/A)*((A^2*1i)/(256*a^6*d^2))^(1/2)*2i - atan((a^3*d*tan(c + d*x)^(1/2)*(-(A^2*841i)/(256*a^6*d^2))^(1/2)*16i)/(29*A))*(-(A^2*841i)/(256*a^6*d^2))^(1/2)*2i - atan((16*a^3*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(256*a^6*d^2))^(1/2))/B)*(-(B^2*1i)/(256*a^6*d^2))^(1/2)*2i - atan((4*a^3*d*tan(c + d*x)^(1/2)*((B^2*361i)/(16*a^6*d^2))^(1/2))/(19*B))*((B^2*361i)/(16*a^6*d^2))^(1/2)*2i - ((49*A*tan(c + d*x)^(3/2))/(12*a^3*d) - (A*tan(c + d*x)^(1/2)*7i)/(4*a^3*d) + (A*tan(c + d*x)^(5/2)*5i)/(2*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) - ((27*B*tan(c + d*x)^(1/2))/(8*a^3*d) + (B*tan(c + d*x)^(3/2)*91i)/(12*a^3*d) - (35*B*tan(c + d*x)^(5/2))/(8*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) + (A*tan(c + d*x)^(1/2)*2i)/(a^3*d) - (6*B*tan(c + d*x)^(1/2))/(a^3*d) + (B*tan(c + d*x)^(3/2)*2i)/(3*a^3*d)","B"
147,1,395,364,9.970570,"\text{Not used}","int((tan(c + d*x)^(7/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\mathrm{atan}\left(\frac{8\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}}{3\,A}\right)\,\sqrt{\frac{A^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,16{}\mathrm{i}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}\,16{}\mathrm{i}}{29\,B}\right)\,\sqrt{-\frac{B^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}+\frac{\frac{5\,A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^3\,d}-\frac{9\,A\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{8\,a^3\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,19{}\mathrm{i}}{12\,a^3\,d}}{-{\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}-\frac{\frac{49\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{12\,a^3\,d}-\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,7{}\mathrm{i}}{4\,a^3\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,5{}\mathrm{i}}{2\,a^3\,d}}{-{\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}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,2{}\mathrm{i}}{a^3\,d}","Not used",1,"atan((8*a^3*d*tan(c + d*x)^(1/2)*((A^2*9i)/(64*a^6*d^2))^(1/2))/(3*A))*((A^2*9i)/(64*a^6*d^2))^(1/2)*2i + atan((16*a^3*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(256*a^6*d^2))^(1/2))/A)*(-(A^2*1i)/(256*a^6*d^2))^(1/2)*2i + atan((a^3*d*tan(c + d*x)^(1/2)*((B^2*1i)/(256*a^6*d^2))^(1/2)*16i)/B)*((B^2*1i)/(256*a^6*d^2))^(1/2)*2i - atan((a^3*d*tan(c + d*x)^(1/2)*(-(B^2*841i)/(256*a^6*d^2))^(1/2)*16i)/(29*B))*(-(B^2*841i)/(256*a^6*d^2))^(1/2)*2i + ((5*A*tan(c + d*x)^(1/2))/(8*a^3*d) + (A*tan(c + d*x)^(3/2)*19i)/(12*a^3*d) - (9*A*tan(c + d*x)^(5/2))/(8*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) - ((49*B*tan(c + d*x)^(3/2))/(12*a^3*d) - (B*tan(c + d*x)^(1/2)*7i)/(4*a^3*d) + (B*tan(c + d*x)^(5/2)*5i)/(2*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) + (B*tan(c + d*x)^(1/2)*2i)/(a^3*d)","B"
148,1,308,307,8.167652,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{5\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^3\,d}-\frac{9\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{8\,a^3\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,19{}\mathrm{i}}{12\,a^3\,d}}{-{\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}+\frac{\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{12\,a^3\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,1{}\mathrm{i}}{4\,a^3\,d}}{-{\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}-\frac{{\left(-1\right)}^{1/4}\,A\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{8\,a^3\,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)}{8\,a^3\,d}+\mathrm{atan}\left(\frac{8\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}}{3\,B}\right)\,\sqrt{\frac{B^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((8*a^3*d*tan(c + d*x)^(1/2)*((B^2*9i)/(64*a^6*d^2))^(1/2))/(3*B))*((B^2*9i)/(64*a^6*d^2))^(1/2)*2i + atan((16*a^3*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(256*a^6*d^2))^(1/2))/B)*(-(B^2*1i)/(256*a^6*d^2))^(1/2)*2i + ((5*B*tan(c + d*x)^(1/2))/(8*a^3*d) + (B*tan(c + d*x)^(3/2)*19i)/(12*a^3*d) - (9*B*tan(c + d*x)^(5/2))/(8*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) + ((A*tan(c + d*x)^(3/2))/(12*a^3*d) + (A*tan(c + d*x)^(5/2)*1i)/(4*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) - ((-1)^(1/4)*A*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d) + ((-1)^(1/4)*A*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d)","B"
149,1,239,309,6.687763,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^3\,d}-\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{8\,a^3\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,5{}\mathrm{i}}{12\,a^3\,d}}{-{\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}+\frac{\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{12\,a^3\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,1{}\mathrm{i}}{4\,a^3\,d}}{-{\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}-\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{8\,a^3\,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)}{8\,a^3\,d}-\frac{\sqrt{-\frac{1}{256}{}\mathrm{i}}\,A\,\mathrm{atan}\left(16\,\sqrt{-\frac{1}{256}{}\mathrm{i}}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,2{}\mathrm{i}}{a^3\,d}","Not used",1,"((A*tan(c + d*x)^(1/2))/(8*a^3*d) + (A*tan(c + d*x)^(3/2)*5i)/(12*a^3*d) - (A*tan(c + d*x)^(5/2))/(8*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) + ((B*tan(c + d*x)^(3/2))/(12*a^3*d) + (B*tan(c + d*x)^(5/2)*1i)/(4*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) - ((-1i/256)^(1/2)*A*atan(16*(-1i/256)^(1/2)*tan(c + d*x)^(1/2))*2i)/(a^3*d) - ((-1)^(1/4)*B*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d) + ((-1)^(1/4)*B*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d)","B"
150,1,239,317,6.593302,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^3\,d}-\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{8\,a^3\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,5{}\mathrm{i}}{12\,a^3\,d}}{-{\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}+\frac{-\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{12\,a^3\,d}+\frac{A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{4\,a^3\,d}}{-{\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}-\frac{{\left(-1\right)}^{1/4}\,A\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{8\,a^3\,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)}{8\,a^3\,d}-\frac{\sqrt{-\frac{1}{256}{}\mathrm{i}}\,B\,\mathrm{atan}\left(16\,\sqrt{-\frac{1}{256}{}\mathrm{i}}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)\,2{}\mathrm{i}}{a^3\,d}","Not used",1,"((B*tan(c + d*x)^(1/2))/(8*a^3*d) + (B*tan(c + d*x)^(3/2)*5i)/(12*a^3*d) - (B*tan(c + d*x)^(5/2))/(8*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) + ((A*tan(c + d*x)^(1/2)*1i)/(4*a^3*d) - (A*tan(c + d*x)^(3/2))/(12*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) - ((-1)^(1/4)*A*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d) - ((-1)^(1/4)*A*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d) - ((-1i/256)^(1/2)*B*atan(16*(-1i/256)^(1/2)*tan(c + d*x)^(1/2))*2i)/(a^3*d)","B"
151,1,308,315,6.671640,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^3),x)","\frac{\frac{9\,A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^3\,d}-\frac{5\,A\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{8\,a^3\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,19{}\mathrm{i}}{12\,a^3\,d}}{-{\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}+\frac{-\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{12\,a^3\,d}+\frac{B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{4\,a^3\,d}}{-{\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}-\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\right)}{8\,a^3\,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)}{8\,a^3\,d}-\mathrm{atan}\left(\frac{8\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}}{3\,A}\right)\,\sqrt{\frac{A^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((16*a^3*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(256*a^6*d^2))^(1/2))/A)*(-(A^2*1i)/(256*a^6*d^2))^(1/2)*2i - atan((8*a^3*d*tan(c + d*x)^(1/2)*((A^2*9i)/(64*a^6*d^2))^(1/2))/(3*A))*((A^2*9i)/(64*a^6*d^2))^(1/2)*2i + ((9*A*tan(c + d*x)^(1/2))/(8*a^3*d) + (A*tan(c + d*x)^(3/2)*19i)/(12*a^3*d) - (5*A*tan(c + d*x)^(5/2))/(8*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) + ((B*tan(c + d*x)^(1/2)*1i)/(4*a^3*d) - (B*tan(c + d*x)^(3/2))/(12*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1) - ((-1)^(1/4)*B*atan((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d) - ((-1)^(1/4)*B*atanh((-1)^(1/4)*tan(c + d*x)^(1/2)))/(8*a^3*d)","B"
152,1,389,364,6.828529,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^3),x)","2\,\mathrm{atanh}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{A}\right)\,\sqrt{\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}}{29\,A}\right)\,\sqrt{-\frac{A^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}-\mathrm{atan}\left(\frac{8\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}}{3\,B}\right)\,\sqrt{\frac{B^2\,9{}\mathrm{i}}{64\,a^6\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{B}\right)\,\sqrt{-\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}-\frac{\frac{2\,A}{a^3\,d}+\frac{A\,\mathrm{tan}\left(c+d\,x\right)\,17{}\mathrm{i}}{2\,a^3\,d}-\frac{121\,A\,{\mathrm{tan}\left(c+d\,x\right)}^2}{12\,a^3\,d}-\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^3\,15{}\mathrm{i}}{4\,a^3\,d}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}+{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,3{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}-{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,1{}\mathrm{i}}+\frac{\frac{9\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{8\,a^3\,d}-\frac{5\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{8\,a^3\,d}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,19{}\mathrm{i}}{12\,a^3\,d}}{-{\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}","Not used",1,"2*atanh((16*a^3*d*tan(c + d*x)^(1/2)*((A^2*1i)/(256*a^6*d^2))^(1/2))/A)*((A^2*1i)/(256*a^6*d^2))^(1/2) + 2*atanh((16*a^3*d*tan(c + d*x)^(1/2)*(-(A^2*841i)/(256*a^6*d^2))^(1/2))/(29*A))*(-(A^2*841i)/(256*a^6*d^2))^(1/2) - atan((8*a^3*d*tan(c + d*x)^(1/2)*((B^2*9i)/(64*a^6*d^2))^(1/2))/(3*B))*((B^2*9i)/(64*a^6*d^2))^(1/2)*2i + atan((16*a^3*d*tan(c + d*x)^(1/2)*(-(B^2*1i)/(256*a^6*d^2))^(1/2))/B)*(-(B^2*1i)/(256*a^6*d^2))^(1/2)*2i - ((2*A)/(a^3*d) + (A*tan(c + d*x)*17i)/(2*a^3*d) - (121*A*tan(c + d*x)^2)/(12*a^3*d) - (A*tan(c + d*x)^3*15i)/(4*a^3*d))/(tan(c + d*x)^(1/2) + tan(c + d*x)^(3/2)*3i - 3*tan(c + d*x)^(5/2) - tan(c + d*x)^(7/2)*1i) + ((9*B*tan(c + d*x)^(1/2))/(8*a^3*d) + (B*tan(c + d*x)^(3/2)*19i)/(12*a^3*d) - (5*B*tan(c + d*x)^(5/2))/(8*a^3*d))/(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)","B"
153,1,425,393,8.531584,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^3),x)","-\mathrm{atan}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{A}\right)\,\sqrt{-\frac{A^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{4\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,361{}\mathrm{i}}{16\,a^6\,d^2}}}{19\,A}\right)\,\sqrt{\frac{A^2\,361{}\mathrm{i}}{16\,a^6\,d^2}}\,2{}\mathrm{i}-\frac{\frac{A\,2{}\mathrm{i}}{3\,a^3\,d}+\frac{4\,A\,\mathrm{tan}\left(c+d\,x\right)}{a^3\,d}+\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^2\,163{}\mathrm{i}}{8\,a^3\,d}-\frac{299\,A\,{\mathrm{tan}\left(c+d\,x\right)}^3}{12\,a^3\,d}-\frac{A\,{\mathrm{tan}\left(c+d\,x\right)}^4\,75{}\mathrm{i}}{8\,a^3\,d}}{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}-3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}+{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,1{}\mathrm{i}-{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,3{}\mathrm{i}}+2\,\mathrm{atanh}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}}{B}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{256\,a^6\,d^2}}+2\,\mathrm{atanh}\left(\frac{16\,a^3\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{B^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}}{29\,B}\right)\,\sqrt{-\frac{B^2\,841{}\mathrm{i}}{256\,a^6\,d^2}}-\frac{\frac{2\,B}{a^3\,d}+\frac{B\,\mathrm{tan}\left(c+d\,x\right)\,17{}\mathrm{i}}{2\,a^3\,d}-\frac{121\,B\,{\mathrm{tan}\left(c+d\,x\right)}^2}{12\,a^3\,d}-\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^3\,15{}\mathrm{i}}{4\,a^3\,d}}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}+{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,3{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}-{\mathrm{tan}\left(c+d\,x\right)}^{7/2}\,1{}\mathrm{i}}","Not used",1,"atan((4*a^3*d*tan(c + d*x)^(1/2)*((A^2*361i)/(16*a^6*d^2))^(1/2))/(19*A))*((A^2*361i)/(16*a^6*d^2))^(1/2)*2i - atan((16*a^3*d*tan(c + d*x)^(1/2)*(-(A^2*1i)/(256*a^6*d^2))^(1/2))/A)*(-(A^2*1i)/(256*a^6*d^2))^(1/2)*2i - ((A*2i)/(3*a^3*d) + (4*A*tan(c + d*x))/(a^3*d) + (A*tan(c + d*x)^2*163i)/(8*a^3*d) - (299*A*tan(c + d*x)^3)/(12*a^3*d) - (A*tan(c + d*x)^4*75i)/(8*a^3*d))/(tan(c + d*x)^(3/2)*1i - 3*tan(c + d*x)^(5/2) - tan(c + d*x)^(7/2)*3i + tan(c + d*x)^(9/2)) + 2*atanh((16*a^3*d*tan(c + d*x)^(1/2)*((B^2*1i)/(256*a^6*d^2))^(1/2))/B)*((B^2*1i)/(256*a^6*d^2))^(1/2) + 2*atanh((16*a^3*d*tan(c + d*x)^(1/2)*(-(B^2*841i)/(256*a^6*d^2))^(1/2))/(29*B))*(-(B^2*841i)/(256*a^6*d^2))^(1/2) - ((2*B)/(a^3*d) + (B*tan(c + d*x)*17i)/(2*a^3*d) - (121*B*tan(c + d*x)^2)/(12*a^3*d) - (B*tan(c + d*x)^3*15i)/(4*a^3*d))/(tan(c + d*x)^(1/2) + tan(c + d*x)^(3/2)*3i - 3*tan(c + d*x)^(5/2) - tan(c + d*x)^(7/2)*1i)","B"
154,0,-1,200,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
155,1,2225,152,24.348143,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,2{}\mathrm{i}}{d\,{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^3}+\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a\,d\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}}{\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^4}-\frac{1}{a^2}+\frac{\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}}{a\,{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}}+\frac{\sqrt{-a}\,\mathrm{atan}\left(\frac{A^4\,{\left(-a\right)}^{21/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(7168-7168{}\mathrm{i}\right)}{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(A^4\,a^{10}\,3584{}\mathrm{i}+B^4\,a^{10}\,512{}\mathrm{i}-4096\,A\,B^3\,a^{10}+10240\,A^3\,B\,a^{10}-A^2\,B^2\,a^{10}\,10240{}\mathrm{i}-\frac{3584\,A^4\,a^{11}\,\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{512\,B^4\,a^{11}\,\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{10240\,A^2\,B^2\,a^{11}\,\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{A\,B^3\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,4096{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+\frac{A^3\,B\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,10240{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)}+\frac{B^4\,{\left(-a\right)}^{21/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1024-1024{}\mathrm{i}\right)}{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(A^4\,a^{10}\,3584{}\mathrm{i}+B^4\,a^{10}\,512{}\mathrm{i}-4096\,A\,B^3\,a^{10}+10240\,A^3\,B\,a^{10}-A^2\,B^2\,a^{10}\,10240{}\mathrm{i}-\frac{3584\,A^4\,a^{11}\,\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{512\,B^4\,a^{11}\,\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{10240\,A^2\,B^2\,a^{11}\,\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{A\,B^3\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,4096{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+\frac{A^3\,B\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,10240{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)}+\frac{A\,B^3\,{\left(-a\right)}^{21/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192+8192{}\mathrm{i}\right)}{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(A^4\,a^{10}\,3584{}\mathrm{i}+B^4\,a^{10}\,512{}\mathrm{i}-4096\,A\,B^3\,a^{10}+10240\,A^3\,B\,a^{10}-A^2\,B^2\,a^{10}\,10240{}\mathrm{i}-\frac{3584\,A^4\,a^{11}\,\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{512\,B^4\,a^{11}\,\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{10240\,A^2\,B^2\,a^{11}\,\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{A\,B^3\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,4096{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+\frac{A^3\,B\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,10240{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)}+\frac{A^3\,B\,{\left(-a\right)}^{21/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-20480-20480{}\mathrm{i}\right)}{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(A^4\,a^{10}\,3584{}\mathrm{i}+B^4\,a^{10}\,512{}\mathrm{i}-4096\,A\,B^3\,a^{10}+10240\,A^3\,B\,a^{10}-A^2\,B^2\,a^{10}\,10240{}\mathrm{i}-\frac{3584\,A^4\,a^{11}\,\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{512\,B^4\,a^{11}\,\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{10240\,A^2\,B^2\,a^{11}\,\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{A\,B^3\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,4096{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+\frac{A^3\,B\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,10240{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)}+\frac{A^2\,B^2\,{\left(-a\right)}^{21/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-20480+20480{}\mathrm{i}\right)}{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(A^4\,a^{10}\,3584{}\mathrm{i}+B^4\,a^{10}\,512{}\mathrm{i}-4096\,A\,B^3\,a^{10}+10240\,A^3\,B\,a^{10}-A^2\,B^2\,a^{10}\,10240{}\mathrm{i}-\frac{3584\,A^4\,a^{11}\,\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{512\,B^4\,a^{11}\,\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{10240\,A^2\,B^2\,a^{11}\,\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{A\,B^3\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,4096{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}+\frac{A^3\,B\,a^{11}\,\mathrm{tan}\left(c+d\,x\right)\,10240{}\mathrm{i}}{{\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}\right)}\right)\,\left(B+A\,1{}\mathrm{i}\right)\,\left(-1+1{}\mathrm{i}\right)}{d}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{a}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,A^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,25690112{}\mathrm{i}}{a^{15/2}\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(\frac{25690112\,A^5}{a^8}+\frac{3670016\,A\,B^4}{a^8}-\frac{48234496\,A^3\,B^2}{a^8}-\frac{B^5\,262144{}\mathrm{i}}{a^8}-\frac{A^4\,B\,56885248{}\mathrm{i}}{a^8}+\frac{A^2\,B^3\,19398656{}\mathrm{i}}{a^8}\right)}+\frac{262144\,{\left(-1\right)}^{1/4}\,B^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a^{15/2}\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(\frac{25690112\,A^5}{a^8}+\frac{3670016\,A\,B^4}{a^8}-\frac{48234496\,A^3\,B^2}{a^8}-\frac{B^5\,262144{}\mathrm{i}}{a^8}-\frac{A^4\,B\,56885248{}\mathrm{i}}{a^8}+\frac{A^2\,B^3\,19398656{}\mathrm{i}}{a^8}\right)}+\frac{{\left(-1\right)}^{1/4}\,A\,B^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,3670016{}\mathrm{i}}{a^{15/2}\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(\frac{25690112\,A^5}{a^8}+\frac{3670016\,A\,B^4}{a^8}-\frac{48234496\,A^3\,B^2}{a^8}-\frac{B^5\,262144{}\mathrm{i}}{a^8}-\frac{A^4\,B\,56885248{}\mathrm{i}}{a^8}+\frac{A^2\,B^3\,19398656{}\mathrm{i}}{a^8}\right)}+\frac{56885248\,{\left(-1\right)}^{1/4}\,A^4\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a^{15/2}\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(\frac{25690112\,A^5}{a^8}+\frac{3670016\,A\,B^4}{a^8}-\frac{48234496\,A^3\,B^2}{a^8}-\frac{B^5\,262144{}\mathrm{i}}{a^8}-\frac{A^4\,B\,56885248{}\mathrm{i}}{a^8}+\frac{A^2\,B^3\,19398656{}\mathrm{i}}{a^8}\right)}-\frac{19398656\,{\left(-1\right)}^{1/4}\,A^2\,B^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{a^{15/2}\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(\frac{25690112\,A^5}{a^8}+\frac{3670016\,A\,B^4}{a^8}-\frac{48234496\,A^3\,B^2}{a^8}-\frac{B^5\,262144{}\mathrm{i}}{a^8}-\frac{A^4\,B\,56885248{}\mathrm{i}}{a^8}+\frac{A^2\,B^3\,19398656{}\mathrm{i}}{a^8}\right)}-\frac{{\left(-1\right)}^{1/4}\,A^3\,B^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,48234496{}\mathrm{i}}{a^{15/2}\,\left(\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)\,\left(\frac{25690112\,A^5}{a^8}+\frac{3670016\,A\,B^4}{a^8}-\frac{48234496\,A^3\,B^2}{a^8}-\frac{B^5\,262144{}\mathrm{i}}{a^8}-\frac{A^4\,B\,56885248{}\mathrm{i}}{a^8}+\frac{A^2\,B^3\,19398656{}\mathrm{i}}{a^8}\right)}\right)\,\left(2\,A-B\,1{}\mathrm{i}\right)\,2{}\mathrm{i}}{d}","Not used",1,"- ((B*tan(c + d*x)^(3/2)*2i)/(d*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^3) + (2*B*tan(c + d*x)^(1/2))/(a*d*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))))/(tan(c + d*x)^2/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^4 - 1/a^2 + (tan(c + d*x)*2i)/(a*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)) - ((-a)^(1/2)*atan((A^4*(-a)^(21/2)*tan(c + d*x)^(1/2)*(7168 - 7168i))/(((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*(A^4*a^10*3584i + B^4*a^10*512i - 4096*A*B^3*a^10 + 10240*A^3*B*a^10 - A^2*B^2*a^10*10240i - (3584*A^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (512*B^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (10240*A^2*B^2*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (A*B^3*a^11*tan(c + d*x)*4096i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (A^3*B*a^11*tan(c + d*x)*10240i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)) + (B^4*(-a)^(21/2)*tan(c + d*x)^(1/2)*(1024 - 1024i))/(((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*(A^4*a^10*3584i + B^4*a^10*512i - 4096*A*B^3*a^10 + 10240*A^3*B*a^10 - A^2*B^2*a^10*10240i - (3584*A^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (512*B^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (10240*A^2*B^2*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (A*B^3*a^11*tan(c + d*x)*4096i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (A^3*B*a^11*tan(c + d*x)*10240i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)) + (A*B^3*(-a)^(21/2)*tan(c + d*x)^(1/2)*(8192 + 8192i))/(((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*(A^4*a^10*3584i + B^4*a^10*512i - 4096*A*B^3*a^10 + 10240*A^3*B*a^10 - A^2*B^2*a^10*10240i - (3584*A^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (512*B^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (10240*A^2*B^2*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (A*B^3*a^11*tan(c + d*x)*4096i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (A^3*B*a^11*tan(c + d*x)*10240i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)) - (A^3*B*(-a)^(21/2)*tan(c + d*x)^(1/2)*(20480 + 20480i))/(((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*(A^4*a^10*3584i + B^4*a^10*512i - 4096*A*B^3*a^10 + 10240*A^3*B*a^10 - A^2*B^2*a^10*10240i - (3584*A^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (512*B^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (10240*A^2*B^2*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (A*B^3*a^11*tan(c + d*x)*4096i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (A^3*B*a^11*tan(c + d*x)*10240i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)) - (A^2*B^2*(-a)^(21/2)*tan(c + d*x)^(1/2)*(20480 - 20480i))/(((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*(A^4*a^10*3584i + B^4*a^10*512i - 4096*A*B^3*a^10 + 10240*A^3*B*a^10 - A^2*B^2*a^10*10240i - (3584*A^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (512*B^4*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (10240*A^2*B^2*a^11*tan(c + d*x))/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 - (A*B^3*a^11*tan(c + d*x)*4096i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2 + (A^3*B*a^11*tan(c + d*x)*10240i)/((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))^2)))*(A*1i + B)*(1 - 1i))/d - ((-1)^(1/4)*a^(1/2)*atan(((-1)^(1/4)*A^5*tan(c + d*x)^(1/2)*25690112i)/(a^(15/2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*((25690112*A^5)/a^8 - (B^5*262144i)/a^8 + (3670016*A*B^4)/a^8 - (A^4*B*56885248i)/a^8 + (A^2*B^3*19398656i)/a^8 - (48234496*A^3*B^2)/a^8)) + (262144*(-1)^(1/4)*B^5*tan(c + d*x)^(1/2))/(a^(15/2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*((25690112*A^5)/a^8 - (B^5*262144i)/a^8 + (3670016*A*B^4)/a^8 - (A^4*B*56885248i)/a^8 + (A^2*B^3*19398656i)/a^8 - (48234496*A^3*B^2)/a^8)) + ((-1)^(1/4)*A*B^4*tan(c + d*x)^(1/2)*3670016i)/(a^(15/2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*((25690112*A^5)/a^8 - (B^5*262144i)/a^8 + (3670016*A*B^4)/a^8 - (A^4*B*56885248i)/a^8 + (A^2*B^3*19398656i)/a^8 - (48234496*A^3*B^2)/a^8)) + (56885248*(-1)^(1/4)*A^4*B*tan(c + d*x)^(1/2))/(a^(15/2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*((25690112*A^5)/a^8 - (B^5*262144i)/a^8 + (3670016*A*B^4)/a^8 - (A^4*B*56885248i)/a^8 + (A^2*B^3*19398656i)/a^8 - (48234496*A^3*B^2)/a^8)) - (19398656*(-1)^(1/4)*A^2*B^3*tan(c + d*x)^(1/2))/(a^(15/2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*((25690112*A^5)/a^8 - (B^5*262144i)/a^8 + (3670016*A*B^4)/a^8 - (A^4*B*56885248i)/a^8 + (A^2*B^3*19398656i)/a^8 - (48234496*A^3*B^2)/a^8)) - ((-1)^(1/4)*A^3*B^2*tan(c + d*x)^(1/2)*48234496i)/(a^(15/2)*((a + a*tan(c + d*x)*1i)^(1/2) - a^(1/2))*((25690112*A^5)/a^8 - (B^5*262144i)/a^8 + (3670016*A*B^4)/a^8 - (A^4*B*56885248i)/a^8 + (A^2*B^3*19398656i)/a^8 - (48234496*A^3*B^2)/a^8)))*(2*A - B*1i)*2i)/d","B"
156,1,372,112,10.835886,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(1/2),x)","\frac{B\,\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{2}\,B\,\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}-\frac{\sqrt{\frac{1}{2}{}\mathrm{i}}\,B\,\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}}\,B\,\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{2\,\sqrt{\frac{1}{2}{}\mathrm{i}}\,A\,\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,"(B*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 + (2^(1/2)*B*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 - ((1i/2)^(1/2)*B*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)*B*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*(1i/2)^(1/2)*A*(-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"
157,0,-1,90,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(3/2), x)","F"
158,0,-1,135,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(5/2), x)","F"
159,0,-1,178,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(7/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(7/2), x)","F"
160,0,-1,221,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(9/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/tan(c + d*x)^(9/2), x)","F"
161,0,-1,248,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
162,0,-1,204,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
163,0,-1,156,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(1/2), x)","F"
164,0,-1,146,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(3/2), x)","F"
165,0,-1,137,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(5/2), x)","F"
166,0,-1,181,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(7/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(7/2), x)","F"
167,0,-1,225,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(9/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(9/2), x)","F"
168,0,-1,269,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(11/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{11/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/tan(c + d*x)^(11/2), x)","F"
169,0,-1,298,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
170,0,-1,252,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
171,0,-1,206,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(1/2), x)","F"
172,0,-1,196,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(3/2), x)","F"
173,0,-1,190,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(5/2), x)","F"
174,0,-1,185,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(7/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(7/2), x)","F"
175,0,-1,231,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(9/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(9/2), x)","F"
176,0,-1,277,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(11/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(11/2), x)","F"
177,0,-1,323,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(13/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{13/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(13/2), x)","F"
178,0,-1,190,0.000000,"\text{Not used}","int(((B*tan(c + d*x) + (3*B*b)/(2*a))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(5/2),x)","\int \frac{\left(B\,\mathrm{tan}\left(c+d\,x\right)+\frac{3\,B\,b}{2\,a}\right)\,{\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(((B*tan(c + d*x) + (3*B*b)/(2*a))*(a + a*tan(c + d*x)*1i)^(5/2))/tan(c + d*x)^(5/2), x)","F"
179,0,-1,205,0.000000,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
180,1,4040,156,24.205087,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","-\frac{A\,a^{5/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,A\,a^{5/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}-4\,B\,a^{5/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}+B\,a^{5/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,4{}\mathrm{i}+A\,a^{3/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}-4\,B\,a^{3/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)+\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,{\left(-a\right)}^{5/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,8{}\mathrm{i}+8\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,B\,{\left(-a\right)}^{5/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)-A\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,A\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+8\,B\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-B\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}+\sqrt{4{}\mathrm{i}}\,B\,{\left(-a\right)}^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,a^{12}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,{\left(-a\right)}^{23/2}\,\sqrt{a}-2\,{\left(-a\right)}^{23/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}\right)\,8{}\mathrm{i}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,{\left(-a\right)}^{5/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,{\mathrm{tan}\left(c+d\,x\right)}^2\,8{}\mathrm{i}+8\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,B\,{\left(-a\right)}^{5/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,{\mathrm{tan}\left(c+d\,x\right)}^2-\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,{\left(-a\right)}^{3/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,8{}\mathrm{i}+\sqrt{4{}\mathrm{i}}\,B\,{\left(-a\right)}^{5/2}\,{\mathrm{tan}\left(c+d\,x\right)}^2\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,a^{12}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,{\left(-a\right)}^{23/2}\,\sqrt{a}-2\,{\left(-a\right)}^{23/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}\right)\,8{}\mathrm{i}-8\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,B\,{\left(-a\right)}^{3/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-\sqrt{4{}\mathrm{i}}\,B\,{\left(-a\right)}^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,a^{12}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,{\left(-a\right)}^{23/2}\,\sqrt{a}-2\,{\left(-a\right)}^{23/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,8{}\mathrm{i}-\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,\sqrt{-a}\,a^{3/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,12{}\mathrm{i}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,{\left(-a\right)}^{3/2}\,\sqrt{a}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}-12\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,B\,\sqrt{-a}\,a^{3/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,B\,{\left(-a\right)}^{3/2}\,\sqrt{a}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{4{}\mathrm{i}}\,B\,\sqrt{-a}\,a^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,a^{12}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,{\left(-a\right)}^{23/2}\,\sqrt{a}-2\,{\left(-a\right)}^{23/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,12{}\mathrm{i}+\sqrt{4{}\mathrm{i}}\,B\,{\left(-a\right)}^{3/2}\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,a^{12}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,{\left(-a\right)}^{23/2}\,\sqrt{a}-2\,{\left(-a\right)}^{23/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,\sqrt{-a}\,a^{3/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,{\left(-a\right)}^{3/2}\,\sqrt{a}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}-\sqrt{\frac{1}{8}{}\mathrm{i}}\,B\,\sqrt{-a}\,a^{3/2}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}-\sqrt{\frac{1}{8}{}\mathrm{i}}\,B\,{\left(-a\right)}^{3/2}\,\sqrt{a}\,\mathrm{atanh}\left(\frac{-\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}-4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{31/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,4{}\mathrm{i}+4\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{17/2}\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}+\sqrt{\frac{1}{8}{}\mathrm{i}}\,{\left(-a\right)}^{15/2}\,a^{15/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^{15}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-2\,a^{31/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+a^{16}+a^{16}\,{\mathrm{tan}\left(c+d\,x\right)}^2}\right)\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}+4\,\sqrt{4{}\mathrm{i}}\,B\,\sqrt{-a}\,a^{3/2}\,\mathrm{tan}\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,a^{12}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,{\left(-a\right)}^{23/2}\,\sqrt{a}-2\,{\left(-a\right)}^{23/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}+4\,\sqrt{4{}\mathrm{i}}\,B\,{\left(-a\right)}^{3/2}\,\sqrt{a}\,\mathrm{tan}\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sqrt{4{}\mathrm{i}}\,a^{12}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{2\,{\left(-a\right)}^{23/2}\,\sqrt{a}-2\,{\left(-a\right)}^{23/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{4\,a^3\,d+4\,a^3\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2+4\,a^2\,d\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)-8\,a^{5/2}\,d\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}","Not used",1,"-(A*a^(5/2)*tan(c + d*x)^(1/2)*4i + 4*A*a^(5/2)*tan(c + d*x)^(3/2) - 4*B*a^(5/2)*tan(c + d*x)^(1/2) + B*a^(5/2)*tan(c + d*x)^(3/2)*4i + A*a^(3/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i - 4*B*a^(3/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i) + (1i/8)^(1/2)*A*(-a)^(5/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*8i + 8*(1i/8)^(1/2)*B*(-a)^(5/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2)) - A*a^2*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i - 4*A*a^2*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) + 8*B*a^2*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2) - B*a^2*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)*4i + 4i^(1/2)*B*(-a)^(5/2)*atan((4i^(1/2)*a^12*tan(c + d*x)^(1/2))/(2*(-a)^(23/2)*a^(1/2) - 2*(-a)^(23/2)*(a + a*tan(c + d*x)*1i)^(1/2)))*8i + (1i/8)^(1/2)*A*(-a)^(5/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*tan(c + d*x)^2*8i + 8*(1i/8)^(1/2)*B*(-a)^(5/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*tan(c + d*x)^2 - (1i/8)^(1/2)*A*(-a)^(3/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*(a + a*tan(c + d*x)*1i)*8i + 4i^(1/2)*B*(-a)^(5/2)*tan(c + d*x)^2*atan((4i^(1/2)*a^12*tan(c + d*x)^(1/2))/(2*(-a)^(23/2)*a^(1/2) - 2*(-a)^(23/2)*(a + a*tan(c + d*x)*1i)^(1/2)))*8i - 8*(1i/8)^(1/2)*B*(-a)^(3/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*(a + a*tan(c + d*x)*1i) - 4i^(1/2)*B*(-a)^(3/2)*atan((4i^(1/2)*a^12*tan(c + d*x)^(1/2))/(2*(-a)^(23/2)*a^(1/2) - 2*(-a)^(23/2)*(a + a*tan(c + d*x)*1i)^(1/2)))*(a + a*tan(c + d*x)*1i)*8i - (1i/8)^(1/2)*A*(-a)^(1/2)*a^(3/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*(a + a*tan(c + d*x)*1i)^(1/2)*12i + (1i/8)^(1/2)*A*(-a)^(3/2)*a^(1/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*(a + a*tan(c + d*x)*1i)^(1/2)*4i - 12*(1i/8)^(1/2)*B*(-a)^(1/2)*a^(3/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*(a + a*tan(c + d*x)*1i)^(1/2) + 4*(1i/8)^(1/2)*B*(-a)^(3/2)*a^(1/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*(a + a*tan(c + d*x)*1i)^(1/2) - 4i^(1/2)*B*(-a)^(1/2)*a^(3/2)*atan((4i^(1/2)*a^12*tan(c + d*x)^(1/2))/(2*(-a)^(23/2)*a^(1/2) - 2*(-a)^(23/2)*(a + a*tan(c + d*x)*1i)^(1/2)))*(a + a*tan(c + d*x)*1i)^(1/2)*12i + 4i^(1/2)*B*(-a)^(3/2)*a^(1/2)*atan((4i^(1/2)*a^12*tan(c + d*x)^(1/2))/(2*(-a)^(23/2)*a^(1/2) - 2*(-a)^(23/2)*(a + a*tan(c + d*x)*1i)^(1/2)))*(a + a*tan(c + d*x)*1i)^(1/2)*4i + 4*(1i/8)^(1/2)*A*(-a)^(1/2)*a^(3/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2) + 4*(1i/8)^(1/2)*A*(-a)^(3/2)*a^(1/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*B*(-a)^(1/2)*a^(3/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2)*4i - (1i/8)^(1/2)*B*(-a)^(3/2)*a^(1/2)*atanh(((1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(1/2)*4i - 4*(1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2) - (1i/8)^(1/2)*(-a)^(31/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)*8i + 4*(1i/8)^(1/2)*(-a)^(15/2)*a^(17/2)*tan(c + d*x)^(3/2) + (1i/8)^(1/2)*(-a)^(15/2)*a^(15/2)*tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)*4i)/(a^15*(a + a*tan(c + d*x)*1i) - 2*a^(31/2)*(a + a*tan(c + d*x)*1i)^(1/2) + a^16 + a^16*tan(c + d*x)^2))*tan(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2)*4i + 4*4i^(1/2)*B*(-a)^(1/2)*a^(3/2)*tan(c + d*x)*atan((4i^(1/2)*a^12*tan(c + d*x)^(1/2))/(2*(-a)^(23/2)*a^(1/2) - 2*(-a)^(23/2)*(a + a*tan(c + d*x)*1i)^(1/2)))*(a + a*tan(c + d*x)*1i)^(1/2) + 4*4i^(1/2)*B*(-a)^(3/2)*a^(1/2)*tan(c + d*x)*atan((4i^(1/2)*a^12*tan(c + d*x)^(1/2))/(2*(-a)^(23/2)*a^(1/2) - 2*(-a)^(23/2)*(a + a*tan(c + d*x)*1i)^(1/2)))*(a + a*tan(c + d*x)*1i)^(1/2))/(4*a^3*d + 4*a^3*d*tan(c + d*x)^2 + 4*a^2*d*(a + a*tan(c + d*x)*1i) - 8*a^(5/2)*d*(a + a*tan(c + d*x)*1i)^(1/2))","B"
181,1,426,99,11.615312,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{B\,\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}{4}+\frac{1}{4}{}\mathrm{i}\right)}{\sqrt{a}\,d}+\frac{A\,\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\,B\,\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}}\,B\,\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}+\frac{2\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,A\,\mathrm{atanh}\left(\frac{32\,\sqrt{\frac{1}{8}{}\mathrm{i}}\,A^2\,{\left(-a\right)}^{9/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(A^2\,a^4\,4{}\mathrm{i}-\frac{4\,A^2\,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,"(B*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)*(1/4 + 1i/4))/(a^(1/2)*d) + (A*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*B*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)*B*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) + (2*(1i/8)^(1/2)*A*atanh((32*(1i/8)^(1/2)*A^2*(-a)^(9/2)*tan(c + d*x)^(1/2))/((A^2*a^4*4i - (4*A^2*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"
182,0,-1,143,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
183,0,-1,191,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
184,0,-1,237,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
185,0,-1,203,0.000000,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(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)}{{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
186,0,-1,150,0.000000,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
187,0,-1,148,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
188,0,-1,194,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
189,0,-1,240,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
190,0,-1,249,0.000000,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(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)}{{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
191,0,-1,194,0.000000,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(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)}{{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
192,0,-1,196,0.000000,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
193,0,-1,194,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
194,0,-1,240,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
195,0,-1,286,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
196,1,365,201,1.043786,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{3\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{2^{1/3}\,B\,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{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,A\,a^{1/3}\,\ln\left(A\,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\,a^{4/3}\,d^2\right)}{d}-\frac{{\left(\frac{1}{4}{}\mathrm{i}\right)}^{1/3}\,A\,a^{1/3}\,\ln\left(A\,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\,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\,a^{1/3}\,\ln\left(A\,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\,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{4^{2/3}\,B\,a^{1/3}\,\ln\left(\frac{9\,B\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}-\frac{9\,2^{1/3}\,B\,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}\,B\,a^{1/3}\,\ln\left(\frac{9\,B\,a\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d}+\frac{9\,2^{1/3}\,B\,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*B*(a + a*tan(c + d*x)*1i)^(1/3))/d + (2^(1/3)*B*a^(1/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*a^(1/3)))/(2*d) - ((1i/4)^(1/3)*A*a^(1/3)*log(A*a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i + 18*(1i/4)^(1/3)*A*a^(4/3)*d^2))/d - ((1i/4)^(1/3)*A*a^(1/3)*log(A*a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i + 18*(1i/4)^(1/3)*A*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*a^(1/3)*log(A*a*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*9i - 18*(1i/4)^(1/3)*A*a^(4/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/d + (4^(2/3)*B*a^(1/3)*log((9*B*a*(a + a*tan(c + d*x)*1i)^(1/3))/d - (9*2^(1/3)*B*a^(4/3)*(3^(1/2)*1i - 1))/(2*d))*((3^(1/2)*1i)/2 - 1/2))/(4*d) - (4^(2/3)*B*a^(1/3)*log((9*B*a*(a + a*tan(c + d*x)*1i)^(1/3))/d + (9*2^(1/3)*B*a^(4/3)*(3^(1/2)*1i + 1))/(2*d))*((3^(1/2)*1i)/2 + 1/2))/(4*d)","B"
197,1,436,270,7.747620,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(2/3),x)","-\frac{3\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}{2\,d}-\frac{A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/3}\,3{}\mathrm{i}}{5\,a\,d}+\frac{3\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/3}}{5\,a\,d}-\frac{3\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{8/3}}{8\,a^2\,d}-\frac{2^{2/3}\,B\,a^{2/3}\,\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{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,A\,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\,a^{2/3}\,\ln\left(\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}-{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}-\frac{2^{2/3}\,B\,a^{2/3}\,\ln\left(\frac{9\,B^2\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{9\,2^{1/3}\,B^2\,a^{7/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{2^{2/3}\,B\,a^{2/3}\,\ln\left(\frac{9\,B^2\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{9\,2^{1/3}\,B^2\,a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,A\,a^{2/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(3*B*(a + a*tan(c + d*x)*1i)^(5/3))/(5*a*d) - (A*(a + a*tan(c + d*x)*1i)^(5/3)*3i)/(5*a*d) - (3*B*(a + a*tan(c + d*x)*1i)^(2/3))/(2*d) - (3*B*(a + a*tan(c + d*x)*1i)^(8/3))/(8*a^2*d) - (2^(2/3)*B*a^(2/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*a^(1/3)))/(2*d) + ((1i/2)^(1/3)*A*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*a^(2/3)*log(((-1)^(1/3)*2^(1/3)*a^(1/3))/2 - (a*(tan(c + d*x)*1i + 1))^(1/3) + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2))/d - (2^(2/3)*B*a^(2/3)*log((9*B^2*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (9*2^(1/3)*B^2*a^(7/3)*((3^(1/2)*1i)/2 - 1/2)^2)/d^2)*((3^(1/2)*1i)/2 - 1/2))/(2*d) + (2^(2/3)*B*a^(2/3)*log((9*B^2*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (9*2^(1/3)*B^2*a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/d^2)*((3^(1/2)*1i)/2 + 1/2))/(2*d) - ((1i/2)^(1/3)*A*a^(2/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - ((-1)^(1/3)*2^(1/3)*a^(1/3))/2 + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2))/d","B"
198,1,390,232,7.449177,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(2/3),x)","\frac{3\,A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}{2\,d}-\frac{B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/3}\,3{}\mathrm{i}}{5\,a\,d}+\frac{2^{2/3}\,A\,a^{2/3}\,\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{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,B\,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}\,B\,a^{2/3}\,\ln\left(\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}-{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}+\frac{2^{2/3}\,A\,a^{2/3}\,\ln\left(\frac{9\,A^2\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{9\,2^{1/3}\,A^2\,a^{7/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{2^{2/3}\,A\,a^{2/3}\,\ln\left(\frac{9\,A^2\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{9\,2^{1/3}\,A^2\,a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,B\,a^{2/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(3*A*(a + a*tan(c + d*x)*1i)^(2/3))/(2*d) - (B*(a + a*tan(c + d*x)*1i)^(5/3)*3i)/(5*a*d) + (2^(2/3)*A*a^(2/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*a^(1/3)))/(2*d) + ((1i/2)^(1/3)*B*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)*B*a^(2/3)*log(((-1)^(1/3)*2^(1/3)*a^(1/3))/2 - (a*(tan(c + d*x)*1i + 1))^(1/3) + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2))/d + (2^(2/3)*A*a^(2/3)*log((9*A^2*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (9*2^(1/3)*A^2*a^(7/3)*((3^(1/2)*1i)/2 - 1/2)^2)/d^2)*((3^(1/2)*1i)/2 - 1/2))/(2*d) - (2^(2/3)*A*a^(2/3)*log((9*A^2*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (9*2^(1/3)*A^2*a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/d^2)*((3^(1/2)*1i)/2 + 1/2))/(2*d) - ((1i/2)^(1/3)*B*a^(2/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - ((-1)^(1/3)*2^(1/3)*a^(1/3))/2 + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2))/d","B"
199,1,367,202,7.299521,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(2/3),x)","\frac{3\,B\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}{2\,d}+\frac{2^{2/3}\,B\,a^{2/3}\,\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{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,A\,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\,a^{2/3}\,\ln\left(\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}-{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}+\frac{2^{2/3}\,B\,a^{2/3}\,\ln\left(\frac{9\,B^2\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{9\,2^{1/3}\,B^2\,a^{7/3}\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{d^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{2^{2/3}\,B\,a^{2/3}\,\ln\left(\frac{9\,B^2\,a^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}{d^2}-\frac{9\,2^{1/3}\,B^2\,a^{7/3}\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2}{d^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{{\left(\frac{1}{2}{}\mathrm{i}\right)}^{1/3}\,A\,a^{2/3}\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{d}","Not used",1,"(3*B*(a + a*tan(c + d*x)*1i)^(2/3))/(2*d) + (2^(2/3)*B*a^(2/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - 2^(1/3)*a^(1/3)))/(2*d) - ((1i/2)^(1/3)*A*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*a^(2/3)*log(((-1)^(1/3)*2^(1/3)*a^(1/3))/2 - (a*(tan(c + d*x)*1i + 1))^(1/3) + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2))/d + (2^(2/3)*B*a^(2/3)*log((9*B^2*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (9*2^(1/3)*B^2*a^(7/3)*((3^(1/2)*1i)/2 - 1/2)^2)/d^2)*((3^(1/2)*1i)/2 - 1/2))/(2*d) - (2^(2/3)*B*a^(2/3)*log((9*B^2*a^2*(a + a*tan(c + d*x)*1i)^(1/3))/d^2 - (9*2^(1/3)*B^2*a^(7/3)*((3^(1/2)*1i)/2 + 1/2)^2)/d^2)*((3^(1/2)*1i)/2 + 1/2))/(2*d) + ((1i/2)^(1/3)*A*a^(2/3)*log((a*(tan(c + d*x)*1i + 1))^(1/3) - ((-1)^(1/3)*2^(1/3)*a^(1/3))/2 + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2))/d","B"
200,1,1761,289,6.749427,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(2/3),x)","\ln\left(-\left(486\,d^3\,\left(A^2\,B\,a^9\,3{}\mathrm{i}+3\,A\,B^2\,a^9-B^3\,a^9\,1{}\mathrm{i}\right)-\left(1458\,a^7\,d^6\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{2/3}+243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-5\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,2{}\mathrm{i}+B^2\,a^8\,d^3\right)\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{1/3}\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{2/3}-243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}-A^4\,B\,a^{10}\,4{}\mathrm{i}-5\,A^3\,B^2\,a^{10}+A^2\,B^3\,a^{10}\,2{}\mathrm{i}\right)\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{1/3}+\ln\left(-\left(486\,d^3\,\left(A^2\,B\,a^9\,3{}\mathrm{i}+3\,A\,B^2\,a^9-B^3\,a^9\,1{}\mathrm{i}\right)-\left(1458\,a^7\,d^6\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{2/3}+243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-5\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,2{}\mathrm{i}+B^2\,a^8\,d^3\right)\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{2/3}-243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}-A^4\,B\,a^{10}\,4{}\mathrm{i}-5\,A^3\,B^2\,a^{10}+A^2\,B^3\,a^{10}\,2{}\mathrm{i}\right)\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{1/3}+\frac{\ln\left(-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(486\,d^3\,\left(A^2\,B\,a^9\,3{}\mathrm{i}+3\,A\,B^2\,a^9-B^3\,a^9\,1{}\mathrm{i}\right)-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-5\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,2{}\mathrm{i}+B^2\,a^8\,d^3\right)+\frac{729\,a^7\,d^6\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{2/3}}{2}\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{2/3}}{4}-243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}-A^4\,B\,a^{10}\,4{}\mathrm{i}-5\,A^3\,B^2\,a^{10}+A^2\,B^3\,a^{10}\,2{}\mathrm{i}\right)\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(486\,d^3\,\left(A^2\,B\,a^9\,3{}\mathrm{i}+3\,A\,B^2\,a^9-B^3\,a^9\,1{}\mathrm{i}\right)+\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-5\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,2{}\mathrm{i}+B^2\,a^8\,d^3\right)+\frac{729\,a^7\,d^6\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{2/3}}{2}\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{1/3}}{2}\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{2/3}}{4}-243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}-A^4\,B\,a^{10}\,4{}\mathrm{i}-5\,A^3\,B^2\,a^{10}+A^2\,B^3\,a^{10}\,2{}\mathrm{i}\right)\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{A^3\,a^2}{d^3}\right)}^{1/3}}{2}-\ln\left(-{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(486\,d^3\,\left(A^2\,B\,a^9\,3{}\mathrm{i}+3\,A\,B^2\,a^9-B^3\,a^9\,1{}\mathrm{i}\right)+\left(243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-5\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,2{}\mathrm{i}+B^2\,a^8\,d^3\right)+1458\,a^7\,d^6\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{2/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{2/3}-243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}-A^4\,B\,a^{10}\,4{}\mathrm{i}-5\,A^3\,B^2\,a^{10}+A^2\,B^3\,a^{10}\,2{}\mathrm{i}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{1/3}+\ln\left(-{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(486\,d^3\,\left(A^2\,B\,a^9\,3{}\mathrm{i}+3\,A\,B^2\,a^9-B^3\,a^9\,1{}\mathrm{i}\right)-\left(243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-5\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,2{}\mathrm{i}+B^2\,a^8\,d^3\right)+1458\,a^7\,d^6\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{2/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{2/3}-243\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}-A^4\,B\,a^{10}\,4{}\mathrm{i}-5\,A^3\,B^2\,a^{10}+A^2\,B^3\,a^{10}\,2{}\mathrm{i}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{A^3\,a^2-A^2\,B\,a^2\,3{}\mathrm{i}-3\,A\,B^2\,a^2+B^3\,a^2\,1{}\mathrm{i}}{2\,d^3}\right)}^{1/3}","Not used",1,"log(- (486*d^3*(3*A*B^2*a^9 - B^3*a^9*1i + A^2*B*a^9*3i) - (1458*a^7*d^6*((A^3*a^2)/d^3)^(2/3) + 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(B^2*a^8*d^3 - 5*A^2*a^8*d^3 + A*B*a^8*d^3*2i))*((A^3*a^2)/d^3)^(1/3))*((A^3*a^2)/d^3)^(2/3) - 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10 - A^4*B*a^10*4i + A^2*B^3*a^10*2i - 5*A^3*B^2*a^10))*((A^3*a^2)/d^3)^(1/3) + log(- (486*d^3*(3*A*B^2*a^9 - B^3*a^9*1i + A^2*B*a^9*3i) - (1458*a^7*d^6*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(2/3) + 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(B^2*a^8*d^3 - 5*A^2*a^8*d^3 + A*B*a^8*d^3*2i))*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(1/3))*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(2/3) - 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10 - A^4*B*a^10*4i + A^2*B^3*a^10*2i - 5*A^3*B^2*a^10))*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(1/3) + (log(- ((3^(1/2)*1i - 1)^2*(486*d^3*(3*A*B^2*a^9 - B^3*a^9*1i + A^2*B*a^9*3i) - ((3^(1/2)*1i - 1)*(243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(B^2*a^8*d^3 - 5*A^2*a^8*d^3 + A*B*a^8*d^3*2i) + (729*a^7*d^6*(3^(1/2)*1i - 1)^2*((A^3*a^2)/d^3)^(2/3))/2)*((A^3*a^2)/d^3)^(1/3))/2)*((A^3*a^2)/d^3)^(2/3))/4 - 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10 - A^4*B*a^10*4i + A^2*B^3*a^10*2i - 5*A^3*B^2*a^10))*(3^(1/2)*1i - 1)*((A^3*a^2)/d^3)^(1/3))/2 - (log(- ((3^(1/2)*1i + 1)^2*(486*d^3*(3*A*B^2*a^9 - B^3*a^9*1i + A^2*B*a^9*3i) + ((3^(1/2)*1i + 1)*(243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(B^2*a^8*d^3 - 5*A^2*a^8*d^3 + A*B*a^8*d^3*2i) + (729*a^7*d^6*(3^(1/2)*1i + 1)^2*((A^3*a^2)/d^3)^(2/3))/2)*((A^3*a^2)/d^3)^(1/3))/2)*((A^3*a^2)/d^3)^(2/3))/4 - 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10 - A^4*B*a^10*4i + A^2*B^3*a^10*2i - 5*A^3*B^2*a^10))*(3^(1/2)*1i + 1)*((A^3*a^2)/d^3)^(1/3))/2 - log(- ((3^(1/2)*1i)/2 + 1/2)^2*(486*d^3*(3*A*B^2*a^9 - B^3*a^9*1i + A^2*B*a^9*3i) + (243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(B^2*a^8*d^3 - 5*A^2*a^8*d^3 + A*B*a^8*d^3*2i) + 1458*a^7*d^6*((3^(1/2)*1i)/2 + 1/2)^2*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(2/3))*((3^(1/2)*1i)/2 + 1/2)*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(1/3))*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(2/3) - 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10 - A^4*B*a^10*4i + A^2*B^3*a^10*2i - 5*A^3*B^2*a^10))*((3^(1/2)*1i)/2 + 1/2)*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(1/3) + log(- ((3^(1/2)*1i)/2 - 1/2)^2*(486*d^3*(3*A*B^2*a^9 - B^3*a^9*1i + A^2*B*a^9*3i) - (243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(B^2*a^8*d^3 - 5*A^2*a^8*d^3 + A*B*a^8*d^3*2i) + 1458*a^7*d^6*((3^(1/2)*1i)/2 - 1/2)^2*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(2/3))*((3^(1/2)*1i)/2 - 1/2)*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(1/3))*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(2/3) - 243*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10 - A^4*B*a^10*4i + A^2*B^3*a^10*2i - 5*A^3*B^2*a^10))*((3^(1/2)*1i)/2 - 1/2)*(-(A^3*a^2 + B^3*a^2*1i - 3*A*B^2*a^2 - A^2*B*a^2*3i)/(2*d^3))^(1/3)","B"
201,1,5825,342,8.071699,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(2/3),x)","\ln\left(\left(18\,d^3\,\left(A^3\,a^9\,19{}\mathrm{i}+45\,A^2\,B\,a^9-A\,B^2\,a^9\,27{}\mathrm{i}\right)-\left(1458\,a^7\,d^6\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}-9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-75\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,198{}\mathrm{i}+135\,B^2\,a^8\,d^3\right)\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}+9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}\,16{}\mathrm{i}+92\,A^4\,B\,a^{10}-A^3\,B^2\,a^{10}\,208{}\mathrm{i}-231\,A^2\,B^3\,a^{10}+A\,B^4\,a^{10}\,126{}\mathrm{i}+27\,B^5\,a^{10}\right)\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}+\ln\left(\left(18\,d^3\,\left(A^3\,a^9\,19{}\mathrm{i}+45\,A^2\,B\,a^9-A\,B^2\,a^9\,27{}\mathrm{i}\right)-\left(1458\,a^7\,d^6\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}-9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-75\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,198{}\mathrm{i}+135\,B^2\,a^8\,d^3\right)\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}+9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}\,16{}\mathrm{i}+92\,A^4\,B\,a^{10}-A^3\,B^2\,a^{10}\,208{}\mathrm{i}-231\,A^2\,B^3\,a^{10}+A\,B^4\,a^{10}\,126{}\mathrm{i}+27\,B^5\,a^{10}\right)\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}+\ln\left({\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(18\,d^3\,\left(A^3\,a^9\,19{}\mathrm{i}+45\,A^2\,B\,a^9-A\,B^2\,a^9\,27{}\mathrm{i}\right)+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-75\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,198{}\mathrm{i}+135\,B^2\,a^8\,d^3\right)-1458\,a^7\,d^6\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}+9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}\,16{}\mathrm{i}+92\,A^4\,B\,a^{10}-A^3\,B^2\,a^{10}\,208{}\mathrm{i}-231\,A^2\,B^3\,a^{10}+A\,B^4\,a^{10}\,126{}\mathrm{i}+27\,B^5\,a^{10}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}+\ln\left({\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(18\,d^3\,\left(A^3\,a^9\,19{}\mathrm{i}+45\,A^2\,B\,a^9-A\,B^2\,a^9\,27{}\mathrm{i}\right)+\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-75\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,198{}\mathrm{i}+135\,B^2\,a^8\,d^3\right)-1458\,a^7\,d^6\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}+9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}\,16{}\mathrm{i}+92\,A^4\,B\,a^{10}-A^3\,B^2\,a^{10}\,208{}\mathrm{i}-231\,A^2\,B^3\,a^{10}+A\,B^4\,a^{10}\,126{}\mathrm{i}+27\,B^5\,a^{10}\right)\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}-\ln\left({\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(18\,d^3\,\left(A^3\,a^9\,19{}\mathrm{i}+45\,A^2\,B\,a^9-A\,B^2\,a^9\,27{}\mathrm{i}\right)-\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-75\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,198{}\mathrm{i}+135\,B^2\,a^8\,d^3\right)-1458\,a^7\,d^6\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}+9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}\,16{}\mathrm{i}+92\,A^4\,B\,a^{10}-A^3\,B^2\,a^{10}\,208{}\mathrm{i}-231\,A^2\,B^3\,a^{10}+A\,B^4\,a^{10}\,126{}\mathrm{i}+27\,B^5\,a^{10}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}-594\,A^3\,a^{12}+B^3\,a^{12}\,1458{}\mathrm{i}-1458\,A\,B^2\,a^{12}+A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}-\ln\left({\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,\left(18\,d^3\,\left(A^3\,a^9\,19{}\mathrm{i}+45\,A^2\,B\,a^9-A\,B^2\,a^9\,27{}\mathrm{i}\right)-\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(-75\,A^2\,a^8\,d^3+A\,B\,a^8\,d^3\,198{}\mathrm{i}+135\,B^2\,a^8\,d^3\right)-1458\,a^7\,d^6\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{2/3}+9\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}\,\left(A^5\,a^{10}\,16{}\mathrm{i}+92\,A^4\,B\,a^{10}-A^3\,B^2\,a^{10}\,208{}\mathrm{i}-231\,A^2\,B^3\,a^{10}+A\,B^4\,a^{10}\,126{}\mathrm{i}+27\,B^5\,a^{10}\right)\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\left(d^3\,\sqrt{-11664\,a^{10}\,\left(\frac{432\,A^6\,a^{14}-10044\,A^4\,B^2\,a^{14}+15066\,A^2\,B^4\,a^{14}-1458\,B^6\,a^{14}}{d^6}-\frac{\left(3240\,A^5\,B\,a^{14}-16470\,A^3\,B^3\,a^{14}+7290\,A\,B^5\,a^{14}\right)\,1{}\mathrm{i}}{d^6}\right)+{\left(\frac{486\,A^2\,B\,a^{12}+1458\,B^3\,a^{12}}{d^3}+\frac{\left(594\,A^3\,a^{12}+1458\,A\,B^2\,a^{12}\right)\,1{}\mathrm{i}}{d^3}\right)}^2}\,1{}\mathrm{i}+594\,A^3\,a^{12}-B^3\,a^{12}\,1458{}\mathrm{i}+1458\,A\,B^2\,a^{12}-A^2\,B\,a^{12}\,486{}\mathrm{i}\right)\,1{}\mathrm{i}}{5832\,a^{10}\,d^3}\right)}^{1/3}-\frac{A\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}{d\,\mathrm{tan}\left(c+d\,x\right)}","Not used",1,"log((18*d^3*(A^3*a^9*19i - A*B^2*a^9*27i + 45*A^2*B*a^9) - (1458*a^7*d^6*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) - 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(135*B^2*a^8*d^3 - 75*A^2*a^8*d^3 + A*B*a^8*d^3*198i))*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3))*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) + 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10*16i + 27*B^5*a^10 + A*B^4*a^10*126i + 92*A^4*B*a^10 - 231*A^2*B^3*a^10 - A^3*B^2*a^10*208i))*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3) + log((18*d^3*(A^3*a^9*19i - A*B^2*a^9*27i + 45*A^2*B*a^9) - (1458*a^7*d^6*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) - 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(135*B^2*a^8*d^3 - 75*A^2*a^8*d^3 + A*B*a^8*d^3*198i))*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3))*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) + 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10*16i + 27*B^5*a^10 + A*B^4*a^10*126i + 92*A^4*B*a^10 - 231*A^2*B^3*a^10 - A^3*B^2*a^10*208i))*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3) + log(((3^(1/2)*1i)/2 - 1/2)^2*(18*d^3*(A^3*a^9*19i - A*B^2*a^9*27i + 45*A^2*B*a^9) + ((3^(1/2)*1i)/2 - 1/2)*(9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(135*B^2*a^8*d^3 - 75*A^2*a^8*d^3 + A*B*a^8*d^3*198i) - 1458*a^7*d^6*((3^(1/2)*1i)/2 - 1/2)^2*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3))*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3))*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) + 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10*16i + 27*B^5*a^10 + A*B^4*a^10*126i + 92*A^4*B*a^10 - 231*A^2*B^3*a^10 - A^3*B^2*a^10*208i))*((3^(1/2)*1i)/2 - 1/2)*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3) + log(((3^(1/2)*1i)/2 - 1/2)^2*(18*d^3*(A^3*a^9*19i - A*B^2*a^9*27i + 45*A^2*B*a^9) + ((3^(1/2)*1i)/2 - 1/2)*(9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(135*B^2*a^8*d^3 - 75*A^2*a^8*d^3 + A*B*a^8*d^3*198i) - 1458*a^7*d^6*((3^(1/2)*1i)/2 - 1/2)^2*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3))*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3))*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) + 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10*16i + 27*B^5*a^10 + A*B^4*a^10*126i + 92*A^4*B*a^10 - 231*A^2*B^3*a^10 - A^3*B^2*a^10*208i))*((3^(1/2)*1i)/2 - 1/2)*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3) - log(((3^(1/2)*1i)/2 + 1/2)^2*(18*d^3*(A^3*a^9*19i - A*B^2*a^9*27i + 45*A^2*B*a^9) - ((3^(1/2)*1i)/2 + 1/2)*(9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(135*B^2*a^8*d^3 - 75*A^2*a^8*d^3 + A*B*a^8*d^3*198i) - 1458*a^7*d^6*((3^(1/2)*1i)/2 + 1/2)^2*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3))*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3))*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) + 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10*16i + 27*B^5*a^10 + A*B^4*a^10*126i + 92*A^4*B*a^10 - 231*A^2*B^3*a^10 - A^3*B^2*a^10*208i))*((3^(1/2)*1i)/2 + 1/2)*(-((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i - 594*A^3*a^12 + B^3*a^12*1458i - 1458*A*B^2*a^12 + A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3) - log(((3^(1/2)*1i)/2 + 1/2)^2*(18*d^3*(A^3*a^9*19i - A*B^2*a^9*27i + 45*A^2*B*a^9) - ((3^(1/2)*1i)/2 + 1/2)*(9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(135*B^2*a^8*d^3 - 75*A^2*a^8*d^3 + A*B*a^8*d^3*198i) - 1458*a^7*d^6*((3^(1/2)*1i)/2 + 1/2)^2*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3))*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3))*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(2/3) + 9*d*(a + a*tan(c + d*x)*1i)^(1/3)*(A^5*a^10*16i + 27*B^5*a^10 + A*B^4*a^10*126i + 92*A^4*B*a^10 - 231*A^2*B^3*a^10 - A^3*B^2*a^10*208i))*((3^(1/2)*1i)/2 + 1/2)*(((d^3*((((594*A^3*a^12 + 1458*A*B^2*a^12)*1i)/d^3 + (1458*B^3*a^12 + 486*A^2*B*a^12)/d^3)^2 - 11664*a^10*((432*A^6*a^14 - 1458*B^6*a^14 + 15066*A^2*B^4*a^14 - 10044*A^4*B^2*a^14)/d^6 - ((7290*A*B^5*a^14 + 3240*A^5*B*a^14 - 16470*A^3*B^3*a^14)*1i)/d^6))^(1/2)*1i + 594*A^3*a^12 - B^3*a^12*1458i + 1458*A*B^2*a^12 - A^2*B*a^12*486i)*1i)/(5832*a^10*d^3))^(1/3) - (A*(a + a*tan(c + d*x)*1i)^(2/3))/(d*tan(c + d*x))","B"
202,1,383,213,6.985281,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^(1/3),x)","\frac{A\,3{}\mathrm{i}}{2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}}-\frac{3\,B}{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}\,A\,\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)}{a^{1/3}\,d}+\frac{4^{1/3}\,B\,\ln\left(18\,B^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-9\,4^{2/3}\,B^2\,a^{1/3}\,d\right)}{4\,a^{1/3}\,d}+\frac{4^{1/3}\,B\,\ln\left(18\,B^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-9\,4^{2/3}\,B^2\,a^{1/3}\,d\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,a^{1/3}\,d}-\frac{4^{1/3}\,B\,\ln\left(18\,B^2\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-9\,4^{2/3}\,B^2\,a^{1/3}\,d\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{4\,a^{1/3}\,d}-\frac{{\left(\frac{1}{16}{}\mathrm{i}\right)}^{1/3}\,A\,\ln\left(\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}-{\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{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}\,A\,\ln\left({\left(a\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)\right)}^{1/3}-\frac{{\left(-1\right)}^{1/3}\,2^{1/3}\,a^{1/3}}{2}+\frac{{\left(-1\right)}^{5/6}\,2^{1/3}\,\sqrt{3}\,a^{1/3}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{a^{1/3}\,d}","Not used",1,"(A*3i)/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) - (3*B)/(2*d*(a + a*tan(c + d*x)*1i)^(1/3)) - ((1i/16)^(1/3)*A*log((a*(tan(c + d*x)*1i + 1))^(1/3) + (-1)^(1/3)*2^(1/3)*a^(1/3)))/(a^(1/3)*d) + (4^(1/3)*B*log(18*B^2*d*(a + a*tan(c + d*x)*1i)^(1/3) - 9*4^(2/3)*B^2*a^(1/3)*d))/(4*a^(1/3)*d) + (4^(1/3)*B*log(18*B^2*d*(a + a*tan(c + d*x)*1i)^(1/3) - 9*4^(2/3)*B^2*a^(1/3)*d*((3^(1/2)*1i)/2 - 1/2)^2)*((3^(1/2)*1i)/2 - 1/2))/(4*a^(1/3)*d) - (4^(1/3)*B*log(18*B^2*d*(a + a*tan(c + d*x)*1i)^(1/3) - 9*4^(2/3)*B^2*a^(1/3)*d*((3^(1/2)*1i)/2 + 1/2)^2)*((3^(1/2)*1i)/2 + 1/2))/(4*a^(1/3)*d) - ((1i/16)^(1/3)*A*log(((-1)^(1/3)*2^(1/3)*a^(1/3))/2 - (a*(tan(c + d*x)*1i + 1))^(1/3) + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 - 1/2))/(a^(1/3)*d) + ((1i/16)^(1/3)*A*log((a*(tan(c + d*x)*1i + 1))^(1/3) - ((-1)^(1/3)*2^(1/3)*a^(1/3))/2 + ((-1)^(5/6)*2^(1/3)*3^(1/2)*a^(1/3))/2)*((3^(1/2)*1i)/2 + 1/2))/(a^(1/3)*d)","B"
203,1,390,213,0.668533,"\text{Not used}","int((A + B*tan(c + d*x))/(a + a*tan(c + d*x)*1i)^(2/3),x)","\frac{A\,3{}\mathrm{i}}{4\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{2/3}}-\frac{3\,B}{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}\,A\,\ln\left(A\,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\,a^{1/3}\,d^2\right)}{a^{2/3}\,d}+\frac{2^{1/3}\,B\,\ln\left(36\,B\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-36\,2^{1/3}\,B\,a^{1/3}\,d^2\right)}{4\,a^{2/3}\,d}-\frac{{\left(\frac{1}{32}{}\mathrm{i}\right)}^{1/3}\,A\,\ln\left(A\,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\,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}\,A\,\ln\left(A\,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\,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{2^{1/3}\,B\,\ln\left(36\,B\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}-36\,2^{1/3}\,B\,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)}{4\,a^{2/3}\,d}-\frac{2^{1/3}\,B\,\ln\left(36\,B\,d^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{1/3}+36\,2^{1/3}\,B\,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)}{4\,a^{2/3}\,d}","Not used",1,"(A*3i)/(4*d*(a + a*tan(c + d*x)*1i)^(2/3)) - (3*B)/(4*d*(a + a*tan(c + d*x)*1i)^(2/3)) - ((1i/32)^(1/3)*A*log(A*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*36i + 144*(1i/32)^(1/3)*A*a^(1/3)*d^2))/(a^(2/3)*d) + (2^(1/3)*B*log(36*B*d^2*(a + a*tan(c + d*x)*1i)^(1/3) - 36*2^(1/3)*B*a^(1/3)*d^2))/(4*a^(2/3)*d) - ((1i/32)^(1/3)*A*log(A*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*36i + 144*(1i/32)^(1/3)*A*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)*A*log(A*d^2*(a + a*tan(c + d*x)*1i)^(1/3)*36i - 144*(1i/32)^(1/3)*A*a^(1/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(a^(2/3)*d) + (2^(1/3)*B*log(36*B*d^2*(a + a*tan(c + d*x)*1i)^(1/3) - 36*2^(1/3)*B*a^(1/3)*d^2*((3^(1/2)*1i)/2 - 1/2))*((3^(1/2)*1i)/2 - 1/2))/(4*a^(2/3)*d) - (2^(1/3)*B*log(36*B*d^2*(a + a*tan(c + d*x)*1i)^(1/3) + 36*2^(1/3)*B*a^(1/3)*d^2*((3^(1/2)*1i)/2 + 1/2))*((3^(1/2)*1i)/2 + 1/2))/(4*a^(2/3)*d)","B"
204,0,-1,290,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4 \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^4, x)","F"
205,0,-1,205,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3, x)","F"
206,0,-1,132,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2, x)","F"
207,0,-1,70,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i), x)","F"
208,0,-1,168,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i), x)","F"
209,0,-1,226,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2, x)","F"
210,0,-1,308,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3, x)","F"
211,0,-1,386,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^4, x)","F"
212,0,-1,316,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
213,0,-1,227,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
214,0,-1,159,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
215,0,-1,214,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
216,0,-1,285,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
217,0,-1,363,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^m*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
218,0,-1,167,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
219,0,-1,245,0.000000,"\text{Not used}","int(tan(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^3\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
220,0,-1,164,0.000000,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^2\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
221,0,-1,111,0.000000,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int \mathrm{tan}\left(c+d\,x\right)\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
222,0,-1,78,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int \left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
223,0,-1,97,0.000000,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int \mathrm{cot}\left(c+d\,x\right)\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
224,0,-1,131,0.000000,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^2\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^2*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
225,0,-1,185,0.000000,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^3\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^3*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
226,0,-1,383,0.000000,"\text{Not used}","int(tan(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
227,0,-1,291,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
228,0,-1,215,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int \sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
229,0,-1,158,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/tan(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{\sqrt{\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/tan(c + d*x)^(1/2), x)","F"
230,0,-1,194,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/tan(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/tan(c + d*x)^(3/2), x)","F"
231,0,-1,247,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/tan(c + d*x)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\mathrm{tan}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/tan(c + d*x)^(5/2), x)","F"
232,1,84,87,6.204349,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a-B\,b\right)-\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{A\,b}{2}+\frac{B\,a}{2}\right)+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A\,b}{2}+\frac{B\,a}{2}\right)-d\,x\,\left(A\,a-B\,b\right)+\frac{B\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}}{d}","Not used",1,"(tan(c + d*x)*(A*a - B*b) - log(tan(c + d*x)^2 + 1)*((A*b)/2 + (B*a)/2) + tan(c + d*x)^2*((A*b)/2 + (B*a)/2) - d*x*(A*a - B*b) + (B*b*tan(c + d*x)^3)/3)/d","B"
233,1,63,65,6.173494,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b+B\,a\right)+\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{A\,a}{2}-\frac{B\,b}{2}\right)-d\,x\,\left(A\,b+B\,a\right)+\frac{B\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}}{d}","Not used",1,"(tan(c + d*x)*(A*b + B*a) + log(tan(c + d*x)^2 + 1)*((A*a)/2 - (B*b)/2) - d*x*(A*b + B*a) + (B*b*tan(c + d*x)^2)/2)/d","B"
234,1,55,42,6.321742,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{B\,b\,\mathrm{tan}\left(c+d\,x\right)+\frac{A\,b\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}+\frac{B\,a\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}+A\,a\,d\,x-B\,b\,d\,x}{d}","Not used",1,"(B*b*tan(c + d*x) + (A*b*log(tan(c + d*x)^2 + 1))/2 + (B*a*log(tan(c + d*x)^2 + 1))/2 + A*a*d*x - B*b*d*x)/d","B"
235,1,69,37,6.466426,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{A\,a\,\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)\,\left(a+b\,1{}\mathrm{i}\right)}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,\left(b+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)*1i)/(2*d) - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a + b*1i))/(2*d) + (A*a*log(tan(c + d*x)))/d","B"
236,1,87,43,6.208916,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b+B\,a\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,\left(b+a\,1{}\mathrm{i}\right)}{2\,d}-\frac{A\,a\,\mathrm{cot}\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)\,\left(a+b\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x))*(A*b + B*a))/d + (log(tan(c + d*x) - 1i)*(A + B*1i)*(a + b*1i)*1i)/(2*d) - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b))/(2*d) - (A*a*cot(c + d*x))/d","B"
237,1,108,66,6.251791,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a-B\,b\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{A\,a}{2}+\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b+B\,a\right)\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)\,\left(a+b\,1{}\mathrm{i}\right)}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,\left(b+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A + B*1i)*(a + b*1i))/(2*d) - (cot(c + d*x)^2*((A*a)/2 + tan(c + d*x)*(A*b + B*a)))/d - (log(tan(c + d*x))*(A*a - B*b))/d - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)*1i)/(2*d)","B"
238,1,127,87,6.409039,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(\left(B\,b-A\,a\right)\,{\mathrm{tan}\left(c+d\,x\right)}^2+\left(\frac{A\,b}{2}+\frac{B\,a}{2}\right)\,\mathrm{tan}\left(c+d\,x\right)+\frac{A\,a}{3}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b+B\,a\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)\,\left(a+b\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,\left(b+a\,1{}\mathrm{i}\right)}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b))/(2*d) - (log(tan(c + d*x))*(A*b + B*a))/d - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a + b*1i)*1i)/(2*d) - (cot(c + d*x)^3*((A*a)/3 + tan(c + d*x)*((A*b)/2 + (B*a)/2) - tan(c + d*x)^2*(A*a - B*b)))/d","B"
239,1,145,108,6.394878,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a-B\,b\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left(\left(-A\,b-B\,a\right)\,{\mathrm{tan}\left(c+d\,x\right)}^3+\left(\frac{B\,b}{2}-\frac{A\,a}{2}\right)\,{\mathrm{tan}\left(c+d\,x\right)}^2+\left(\frac{A\,b}{3}+\frac{B\,a}{3}\right)\,\mathrm{tan}\left(c+d\,x\right)+\frac{A\,a}{4}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)\,\left(a+b\,1{}\mathrm{i}\right)}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,\left(b+a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x))*(A*a - B*b))/d - (cot(c + d*x)^4*((A*a)/4 + tan(c + d*x)*((A*b)/3 + (B*a)/3) - tan(c + d*x)^3*(A*b + B*a) - tan(c + d*x)^2*((A*a)/2 - (B*b)/2)))/d - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a + b*1i))/(2*d) + (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)*1i)/(2*d)","B"
240,1,151,148,6.196773,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","x\,\left(-A\,a^2+2\,B\,a\,b+A\,b^2\right)+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{A\,b^2}{3}+\frac{2\,B\,a\,b}{3}\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-A\,a^2+2\,B\,a\,b+A\,b^2\right)}{d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{B\,a^2}{2}+A\,a\,b-\frac{B\,b^2}{2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,a^2}{2}+A\,a\,b-\frac{B\,b^2}{2}\right)}{d}+\frac{B\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}","Not used",1,"x*(A*b^2 - A*a^2 + 2*B*a*b) + (tan(c + d*x)^3*((A*b^2)/3 + (2*B*a*b)/3))/d - (tan(c + d*x)*(A*b^2 - A*a^2 + 2*B*a*b))/d - (log(tan(c + d*x)^2 + 1)*((B*a^2)/2 - (B*b^2)/2 + A*a*b))/d + (tan(c + d*x)^2*((B*a^2)/2 - (B*b^2)/2 + A*a*b))/d + (B*b^2*tan(c + d*x)^4)/(4*d)","B"
241,1,121,112,6.209868,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A\,b^2}{2}+B\,a\,b\right)}{d}-x\,\left(B\,a^2+2\,A\,a\,b-B\,b^2\right)+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^2+2\,A\,a\,b-B\,b^2\right)}{d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(-\frac{A\,a^2}{2}+B\,a\,b+\frac{A\,b^2}{2}\right)}{d}+\frac{B\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(tan(c + d*x)^2*((A*b^2)/2 + B*a*b))/d - x*(B*a^2 - B*b^2 + 2*A*a*b) + (tan(c + d*x)*(B*a^2 - B*b^2 + 2*A*a*b))/d - (log(tan(c + d*x)^2 + 1)*((A*b^2)/2 - (A*a^2)/2 + B*a*b))/d + (B*b^2*tan(c + d*x)^3)/(3*d)","B"
242,1,91,87,6.227942,"\text{Not used}","int((A + B*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{B\,a^2}{2}+A\,a\,b-\frac{B\,b^2}{2}\right)}{d}-x\,\left(-A\,a^2+2\,B\,a\,b+A\,b^2\right)+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b^2+2\,B\,a\,b\right)}{d}+\frac{B\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}","Not used",1,"(log(tan(c + d*x)^2 + 1)*((B*a^2)/2 - (B*b^2)/2 + A*a*b))/d - x*(A*b^2 - A*a^2 + 2*B*a*b) + (tan(c + d*x)*(A*b^2 + 2*B*a*b))/d + (B*b^2*tan(c + d*x)^2)/(2*d)","B"
243,1,90,70,6.366361,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","\frac{A\,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(A-B\,1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^2}{2\,d}+\frac{B\,b^2\,\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)\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}{2\,d}","Not used",1,"(A*a^2*log(tan(c + d*x)))/d + (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^2)/(2*d) + (B*b^2*tan(c + d*x))/d + (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^2)/(2*d)","B"
244,1,100,72,6.371053,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^2+2\,A\,b\,a\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)\,{\left(-b+a\,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)\,{\left(b+a\,1{}\mathrm{i}\right)}^2}{2\,d}-\frac{A\,a^2\,\mathrm{cot}\left(c+d\,x\right)}{d}","Not used",1,"(log(tan(c + d*x))*(B*a^2 + 2*A*a*b))/d - (log(tan(c + d*x) - 1i)*(A*1i - B)*(a*1i - b)^2)/(2*d) + (log(tan(c + d*x) + 1i)*(A*1i + B)*(a*1i + b)^2)/(2*d) - (A*a^2*cot(c + d*x))/d","B"
245,1,127,88,6.399197,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-A\,a^2+2\,B\,a\,b+A\,b^2\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{A\,a^2}{2}+\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^2+2\,A\,b\,a\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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)\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}{2\,d}","Not used",1,"(log(tan(c + d*x))*(A*b^2 - A*a^2 + 2*B*a*b))/d - (cot(c + d*x)^2*((A*a^2)/2 + tan(c + d*x)*(B*a^2 + 2*A*a*b)))/d - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^2)/(2*d) - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^2)/(2*d)","B"
246,1,156,118,6.373593,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(\frac{A\,a^2}{3}+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-A\,a^2+2\,B\,a\,b+A\,b^2\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^2}{2}+A\,b\,a\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^2+2\,A\,a\,b-B\,b^2\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)\,{\left(-b+a\,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)\,{\left(b+a\,1{}\mathrm{i}\right)}^2}{2\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*1i - B)*(a*1i - b)^2)/(2*d) - (log(tan(c + d*x))*(B*a^2 - B*b^2 + 2*A*a*b))/d - (cot(c + d*x)^3*((A*a^2)/3 + tan(c + d*x)^2*(A*b^2 - A*a^2 + 2*B*a*b) + tan(c + d*x)*((B*a^2)/2 + A*a*b)))/d - (log(tan(c + d*x) + 1i)*(A*1i + B)*(a*1i + b)^2)/(2*d)","B"
247,1,182,151,6.343985,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left(\frac{A\,a^2}{4}+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{A\,a^2}{2}+B\,a\,b+\frac{A\,b^2}{2}\right)-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(B\,a^2+2\,A\,a\,b-B\,b^2\right)+\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^2}{3}+\frac{2\,A\,b\,a}{3}\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-A\,a^2+2\,B\,a\,b+A\,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)\,{\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)\,{\left(-b+a\,1{}\mathrm{i}\right)}^2}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^2)/(2*d) - (log(tan(c + d*x))*(A*b^2 - A*a^2 + 2*B*a*b))/d - (cot(c + d*x)^4*((A*a^2)/4 + tan(c + d*x)^2*((A*b^2)/2 - (A*a^2)/2 + B*a*b) - tan(c + d*x)^3*(B*a^2 - B*b^2 + 2*A*a*b) + tan(c + d*x)*((B*a^2)/3 + (2*A*a*b)/3)))/d + (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^2)/(2*d)","B"
248,1,217,201,6.389029,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a^3+B\,b^3-3\,a\,b\,\left(A\,b+B\,a\right)\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B\,b^3}{3}-a\,b\,\left(A\,b+B\,a\right)\right)}{d}-x\,\left(A\,a^3-3\,B\,a^2\,b-3\,A\,a\,b^2+B\,b^3\right)+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(-\frac{B\,a^3}{2}-\frac{3\,A\,a^2\,b}{2}+\frac{3\,B\,a\,b^2}{2}+\frac{A\,b^3}{2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{A\,b^3}{4}+\frac{3\,B\,a\,b^2}{4}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{B\,a^3}{2}-\frac{3\,A\,a^2\,b}{2}+\frac{3\,B\,a\,b^2}{2}+\frac{A\,b^3}{2}\right)}{d}+\frac{B\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,d}","Not used",1,"(tan(c + d*x)*(A*a^3 + B*b^3 - 3*a*b*(A*b + B*a)))/d - (tan(c + d*x)^3*((B*b^3)/3 - a*b*(A*b + B*a)))/d - x*(A*a^3 + B*b^3 - 3*A*a*b^2 - 3*B*a^2*b) + (log(tan(c + d*x)^2 + 1)*((A*b^3)/2 - (B*a^3)/2 - (3*A*a^2*b)/2 + (3*B*a*b^2)/2))/d + (tan(c + d*x)^4*((A*b^3)/4 + (3*B*a*b^2)/4))/d - (tan(c + d*x)^2*((A*b^3)/2 - (B*a^3)/2 - (3*A*a^2*b)/2 + (3*B*a*b^2)/2))/d + (B*b^3*tan(c + d*x)^5)/(5*d)","B"
249,1,181,165,6.330604,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","x\,\left(-B\,a^3-3\,A\,a^2\,b+3\,B\,a\,b^2+A\,b^3\right)-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,b^3}{2}-\frac{3\,a\,b\,\left(A\,b+B\,a\right)}{2}\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-B\,a^3-3\,A\,a^2\,b+3\,B\,a\,b^2+A\,b^3\right)}{d}+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{A\,a^3}{2}-\frac{3\,B\,a^2\,b}{2}-\frac{3\,A\,a\,b^2}{2}+\frac{B\,b^3}{2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{A\,b^3}{3}+B\,a\,b^2\right)}{d}+\frac{B\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}","Not used",1,"x*(A*b^3 - B*a^3 - 3*A*a^2*b + 3*B*a*b^2) - (tan(c + d*x)^2*((B*b^3)/2 - (3*a*b*(A*b + B*a))/2))/d - (tan(c + d*x)*(A*b^3 - B*a^3 - 3*A*a^2*b + 3*B*a*b^2))/d + (log(tan(c + d*x)^2 + 1)*((A*a^3)/2 + (B*b^3)/2 - (3*A*a*b^2)/2 - (3*B*a^2*b)/2))/d + (tan(c + d*x)^3*((A*b^3)/3 + B*a*b^2))/d + (B*b^3*tan(c + d*x)^4)/(4*d)","B"
250,1,142,140,6.240867,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","x\,\left(A\,a^3-3\,B\,a^2\,b-3\,A\,a\,b^2+B\,b^3\right)-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(-\frac{B\,a^3}{2}-\frac{3\,A\,a^2\,b}{2}+\frac{3\,B\,a\,b^2}{2}+\frac{A\,b^3}{2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A\,b^3}{2}+\frac{3\,B\,a\,b^2}{2}\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,b^3-3\,a\,b\,\left(A\,b+B\,a\right)\right)}{d}+\frac{B\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"x*(A*a^3 + B*b^3 - 3*A*a*b^2 - 3*B*a^2*b) - (log(tan(c + d*x)^2 + 1)*((A*b^3)/2 - (B*a^3)/2 - (3*A*a^2*b)/2 + (3*B*a*b^2)/2))/d + (tan(c + d*x)^2*((A*b^3)/2 + (3*B*a*b^2)/2))/d - (tan(c + d*x)*(B*b^3 - 3*a*b*(A*b + B*a)))/d + (B*b^3*tan(c + d*x)^3)/(3*d)","B"
251,1,118,117,6.416549,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b^3+3\,B\,a\,b^2\right)}{d}+\frac{A\,a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{d}+\frac{B\,b^3\,{\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(A-B\,1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)\,{\left(-b+a\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"(tan(c + d*x)*(A*b^3 + 3*B*a*b^2))/d + (A*a^3*log(tan(c + d*x)))/d - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^3*1i)/(2*d) - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^3*1i)/(2*d) + (B*b^3*tan(c + d*x)^2)/(2*d)","B"
252,1,114,119,6.407457,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^3+3\,A\,b\,a^2\right)}{d}-\frac{A\,a^3\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{B\,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)\,{\left(a+b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x))*(B*a^3 + 3*A*a^2*b))/d + (log(tan(c + d*x) - 1i)*(A + B*1i)*(a + b*1i)^3*1i)/(2*d) - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a - b*1i)^3*1i)/(2*d) - (A*a^3*cot(c + d*x))/d + (B*b^3*tan(c + d*x))/d","B"
253,1,135,127,6.391087,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-A\,a^3+3\,B\,a^2\,b+3\,A\,a\,b^2\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^3+3\,A\,b\,a^2\right)+\frac{A\,a^3}{2}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,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*a*b^2 - A*a^3 + 3*B*a^2*b))/d - (cot(c + d*x)^2*(tan(c + d*x)*(B*a^3 + 3*A*a^2*b) + (A*a^3)/2))/d + (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^3*1i)/(2*d) + (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^3*1i)/(2*d)","B"
254,1,169,154,6.463842,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-B\,a^3-3\,A\,a^2\,b+3\,B\,a\,b^2+A\,b^3\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^3}{2}+\frac{3\,A\,b\,a^2}{2}\right)+\frac{A\,a^3}{3}+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-A\,a^3+3\,B\,a^2\,b+3\,A\,a\,b^2\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,{\left(a-b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}","Not used",1,"(log(tan(c + d*x))*(A*b^3 - B*a^3 - 3*A*a^2*b + 3*B*a*b^2))/d - (cot(c + d*x)^3*(tan(c + d*x)*((B*a^3)/2 + (3*A*a^2*b)/2) + (A*a^3)/3 + tan(c + d*x)^2*(3*A*a*b^2 - A*a^3 + 3*B*a^2*b)))/d - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a + b*1i)^3*1i)/(2*d) + (log(tan(c + d*x) + 1i)*(A - B*1i)*(a - b*1i)^3*1i)/(2*d)","B"
255,1,204,191,6.531142,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a^3-3\,B\,a^2\,b-3\,A\,a\,b^2+B\,b^3\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^3}{3}+A\,b\,a^2\right)+\frac{A\,a^3}{4}+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{A\,a^3}{2}+\frac{3\,B\,a^2\,b}{2}+\frac{3\,A\,a\,b^2}{2}\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-B\,a^3-3\,A\,a^2\,b+3\,B\,a\,b^2+A\,b^3\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,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))*(A*a^3 + B*b^3 - 3*A*a*b^2 - 3*B*a^2*b))/d - (cot(c + d*x)^4*(tan(c + d*x)*((B*a^3)/3 + A*a^2*b) + (A*a^3)/4 + tan(c + d*x)^2*((3*A*a*b^2)/2 - (A*a^3)/2 + (3*B*a^2*b)/2) + tan(c + d*x)^3*(A*b^3 - B*a^3 - 3*A*a^2*b + 3*B*a*b^2)))/d - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^3*1i)/(2*d) - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^3*1i)/(2*d)","B"
256,1,238,233,6.571679,"\text{Not used}","int(cot(c + d*x)^6*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^5\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^3}{4}+\frac{3\,A\,b\,a^2}{4}\right)+\frac{A\,a^3}{5}+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{A\,a^3}{3}+B\,a^2\,b+A\,a\,b^2\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(A\,a^3-3\,B\,a^2\,b-3\,A\,a\,b^2+B\,b^3\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-\frac{B\,a^3}{2}-\frac{3\,A\,a^2\,b}{2}+\frac{3\,B\,a\,b^2}{2}+\frac{A\,b^3}{2}\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-B\,a^3-3\,A\,a^2\,b+3\,B\,a\,b^2+A\,b^3\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)\,{\left(a+b\,1{}\mathrm{i}\right)}^3\,1{}\mathrm{i}}{2\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\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)*(a + b*1i)^3*1i)/(2*d) - (log(tan(c + d*x))*(A*b^3 - B*a^3 - 3*A*a^2*b + 3*B*a*b^2))/d - (cot(c + d*x)^5*(tan(c + d*x)*((B*a^3)/4 + (3*A*a^2*b)/4) + (A*a^3)/5 + tan(c + d*x)^2*(A*a*b^2 - (A*a^3)/3 + B*a^2*b) + tan(c + d*x)^4*(A*a^3 + B*b^3 - 3*A*a*b^2 - 3*B*a^2*b) + tan(c + d*x)^3*((A*b^3)/2 - (B*a^3)/2 - (3*A*a^2*b)/2 + (3*B*a*b^2)/2)))/d - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a - b*1i)^3*1i)/(2*d)","B"
257,1,300,263,6.368187,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a^4+A\,b^4+4\,B\,a\,b^3-2\,a^2\,b\,\left(3\,A\,b+2\,B\,a\right)\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{A\,b^4}{3}+\frac{4\,B\,a\,b^3}{3}-\frac{2\,a^2\,b\,\left(3\,A\,b+2\,B\,a\right)}{3}\right)}{d}-x\,\left(A\,a^4-4\,B\,a^3\,b-6\,A\,a^2\,b^2+4\,B\,a\,b^3+A\,b^4\right)+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(\frac{A\,b^4}{5}+\frac{4\,B\,a\,b^3}{5}\right)}{d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{B\,a^4}{2}+2\,A\,a^3\,b-3\,B\,a^2\,b^2-2\,A\,a\,b^3+\frac{B\,b^4}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{B\,b^4}{4}-\frac{a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{2}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,a^4}{2}+\frac{B\,b^4}{2}+2\,A\,a^3\,b-a\,b^2\,\left(2\,A\,b+3\,B\,a\right)\right)}{d}+\frac{B\,b^4\,{\mathrm{tan}\left(c+d\,x\right)}^6}{6\,d}","Not used",1,"(tan(c + d*x)*(A*a^4 + A*b^4 + 4*B*a*b^3 - 2*a^2*b*(3*A*b + 2*B*a)))/d - (tan(c + d*x)^3*((A*b^4)/3 + (4*B*a*b^3)/3 - (2*a^2*b*(3*A*b + 2*B*a))/3))/d - x*(A*a^4 + A*b^4 - 6*A*a^2*b^2 + 4*B*a*b^3 - 4*B*a^3*b) + (tan(c + d*x)^5*((A*b^4)/5 + (4*B*a*b^3)/5))/d - (log(tan(c + d*x)^2 + 1)*((B*a^4)/2 + (B*b^4)/2 - 3*B*a^2*b^2 - 2*A*a*b^3 + 2*A*a^3*b))/d - (tan(c + d*x)^4*((B*b^4)/4 - (a*b^2*(2*A*b + 3*B*a))/2))/d + (tan(c + d*x)^2*((B*a^4)/2 + (B*b^4)/2 + 2*A*a^3*b - a*b^2*(2*A*b + 3*B*a)))/d + (B*b^4*tan(c + d*x)^6)/(6*d)","B"
258,1,251,226,6.318875,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^4+B\,b^4+4\,A\,a^3\,b-2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A\,b^4}{2}+2\,B\,a\,b^3-a^2\,b\,\left(3\,A\,b+2\,B\,a\right)\right)}{d}-x\,\left(B\,a^4+4\,A\,a^3\,b-6\,B\,a^2\,b^2-4\,A\,a\,b^3+B\,b^4\right)+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{A\,b^4}{4}+B\,a\,b^3\right)}{d}+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{A\,a^4}{2}-2\,B\,a^3\,b-3\,A\,a^2\,b^2+2\,B\,a\,b^3+\frac{A\,b^4}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B\,b^4}{3}-\frac{2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)}{3}\right)}{d}+\frac{B\,b^4\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,d}","Not used",1,"(tan(c + d*x)*(B*a^4 + B*b^4 + 4*A*a^3*b - 2*a*b^2*(2*A*b + 3*B*a)))/d - (tan(c + d*x)^2*((A*b^4)/2 + 2*B*a*b^3 - a^2*b*(3*A*b + 2*B*a)))/d - x*(B*a^4 + B*b^4 - 6*B*a^2*b^2 - 4*A*a*b^3 + 4*A*a^3*b) + (tan(c + d*x)^4*((A*b^4)/4 + B*a*b^3))/d + (log(tan(c + d*x)^2 + 1)*((A*a^4)/2 + (A*b^4)/2 - 3*A*a^2*b^2 + 2*B*a*b^3 - 2*B*a^3*b))/d - (tan(c + d*x)^3*((B*b^4)/3 - (2*a*b^2*(2*A*b + 3*B*a))/3))/d + (B*b^4*tan(c + d*x)^5)/(5*d)","B"
259,1,205,202,6.269184,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","x\,\left(A\,a^4-4\,B\,a^3\,b-6\,A\,a^2\,b^2+4\,B\,a\,b^3+A\,b^4\right)-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b^4+4\,B\,a\,b^3-2\,a^2\,b\,\left(3\,A\,b+2\,B\,a\right)\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{A\,b^4}{3}+\frac{4\,B\,a\,b^3}{3}\right)}{d}+\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)\,\left(\frac{B\,a^4}{2}+2\,A\,a^3\,b-3\,B\,a^2\,b^2-2\,A\,a\,b^3+\frac{B\,b^4}{2}\right)}{d}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{B\,b^4}{2}-a\,b^2\,\left(2\,A\,b+3\,B\,a\right)\right)}{d}+\frac{B\,b^4\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,d}","Not used",1,"x*(A*a^4 + A*b^4 - 6*A*a^2*b^2 + 4*B*a*b^3 - 4*B*a^3*b) - (tan(c + d*x)*(A*b^4 + 4*B*a*b^3 - 2*a^2*b*(3*A*b + 2*B*a)))/d + (tan(c + d*x)^3*((A*b^4)/3 + (4*B*a*b^3)/3))/d + (log(tan(c + d*x)^2 + 1)*((B*a^4)/2 + (B*b^4)/2 - 3*B*a^2*b^2 - 2*A*a*b^3 + 2*A*a^3*b))/d - (tan(c + d*x)^2*((B*b^4)/2 - a*b^2*(2*A*b + 3*B*a)))/d + (B*b^4*tan(c + d*x)^4)/(4*d)","B"
260,1,151,172,6.490901,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{A\,b^4}{2}+2\,B\,a\,b^3\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,b^4-2\,a\,b^2\,\left(2\,A\,b+3\,B\,a\right)\right)}{d}+\frac{A\,a^4\,\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)\,{\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)\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}{2\,d}+\frac{B\,b^4\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}","Not used",1,"(tan(c + d*x)^2*((A*b^4)/2 + 2*B*a*b^3))/d - (tan(c + d*x)*(B*b^4 - 2*a*b^2*(2*A*b + 3*B*a)))/d + (A*a^4*log(tan(c + d*x)))/d - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^4)/(2*d) - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^4)/(2*d) + (B*b^4*tan(c + d*x)^3)/(3*d)","B"
261,1,142,175,6.440504,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b^4+4\,B\,a\,b^3\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^4+4\,A\,b\,a^3\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)\,{\left(-b+a\,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)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}-\frac{A\,a^4\,\mathrm{cot}\left(c+d\,x\right)}{d}+\frac{B\,b^4\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}","Not used",1,"(tan(c + d*x)*(A*b^4 + 4*B*a*b^3))/d + (log(tan(c + d*x))*(B*a^4 + 4*A*a^3*b))/d + (log(tan(c + d*x) - 1i)*(A*1i - B)*(a*1i - b)^4)/(2*d) - (log(tan(c + d*x) + 1i)*(A*1i + B)*(a*1i + b)^4)/(2*d) - (A*a^4*cot(c + d*x))/d + (B*b^4*tan(c + d*x)^2)/(2*d)","B"
262,1,149,186,6.452547,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-A\,a^4+4\,B\,a^3\,b+6\,A\,a^2\,b^2\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^4+4\,A\,b\,a^3\right)+\frac{A\,a^4}{2}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}+\frac{B\,b^4\,\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)\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}{2\,d}","Not used",1,"(log(tan(c + d*x))*(6*A*a^2*b^2 - A*a^4 + 4*B*a^3*b))/d - (cot(c + d*x)^2*(tan(c + d*x)*(B*a^4 + 4*A*a^3*b) + (A*a^4)/2))/d + (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^4)/(2*d) + (B*b^4*tan(c + d*x))/d + (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^4)/(2*d)","B"
263,1,177,187,6.547411,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^4+4\,A\,a^3\,b-6\,B\,a^2\,b^2-4\,A\,a\,b^3\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^3\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{2}+2\,A\,b\,a^3\right)+\frac{A\,a^4}{3}+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-A\,a^4+4\,B\,a^3\,b+6\,A\,a^2\,b^2\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)\,{\left(-b+a\,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)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*1i + B)*(a*1i + b)^4)/(2*d) - (cot(c + d*x)^3*(tan(c + d*x)*((B*a^4)/2 + 2*A*a^3*b) + (A*a^4)/3 + tan(c + d*x)^2*(6*A*a^2*b^2 - A*a^4 + 4*B*a^3*b)))/d - (log(tan(c + d*x) - 1i)*(A*1i - B)*(a*1i - b)^4)/(2*d) - (log(tan(c + d*x))*(B*a^4 - 6*B*a^2*b^2 - 4*A*a*b^3 + 4*A*a^3*b))/d","B"
264,1,218,225,6.466970,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a^4-4\,B\,a^3\,b-6\,A\,a^2\,b^2+4\,B\,a\,b^3+A\,b^4\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^4\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{3}+\frac{4\,A\,b\,a^3}{3}\right)+\frac{A\,a^4}{4}-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(B\,a^4+4\,A\,a^3\,b-6\,B\,a^2\,b^2-4\,A\,a\,b^3\right)+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{A\,a^4}{2}+2\,B\,a^3\,b+3\,A\,a^2\,b^2\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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)\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}{2\,d}","Not used",1,"(log(tan(c + d*x))*(A*a^4 + A*b^4 - 6*A*a^2*b^2 + 4*B*a*b^3 - 4*B*a^3*b))/d - (cot(c + d*x)^4*(tan(c + d*x)*((B*a^4)/3 + (4*A*a^3*b)/3) + (A*a^4)/4 - tan(c + d*x)^3*(B*a^4 - 6*B*a^2*b^2 - 4*A*a*b^3 + 4*A*a^3*b) + tan(c + d*x)^2*(3*A*a^2*b^2 - (A*a^4)/2 + 2*B*a^3*b)))/d - (log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^4)/(2*d) - (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^4)/(2*d)","B"
265,1,263,273,6.683262,"\text{Not used}","int(cot(c + d*x)^6*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^4+4\,A\,a^3\,b-6\,B\,a^2\,b^2-4\,A\,a\,b^3+B\,b^4\right)}{d}-\frac{{\mathrm{cot}\left(c+d\,x\right)}^5\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{4}+A\,b\,a^3\right)+\frac{A\,a^4}{5}-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B\,a^4}{2}+2\,A\,a^3\,b-3\,B\,a^2\,b^2-2\,A\,a\,b^3\right)+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{A\,a^4}{3}+\frac{4\,B\,a^3\,b}{3}+2\,A\,a^2\,b^2\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(A\,a^4-4\,B\,a^3\,b-6\,A\,a^2\,b^2+4\,B\,a\,b^3+A\,b^4\right)\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)\,{\left(-b+a\,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)\,{\left(b+a\,1{}\mathrm{i}\right)}^4}{2\,d}","Not used",1,"(log(tan(c + d*x))*(B*a^4 + B*b^4 - 6*B*a^2*b^2 - 4*A*a*b^3 + 4*A*a^3*b))/d - (cot(c + d*x)^5*(tan(c + d*x)*((B*a^4)/4 + A*a^3*b) + (A*a^4)/5 - tan(c + d*x)^3*((B*a^4)/2 - 3*B*a^2*b^2 - 2*A*a*b^3 + 2*A*a^3*b) + tan(c + d*x)^2*(2*A*a^2*b^2 - (A*a^4)/3 + (4*B*a^3*b)/3) + tan(c + d*x)^4*(A*a^4 + A*b^4 - 6*A*a^2*b^2 + 4*B*a*b^3 - 4*B*a^3*b)))/d + (log(tan(c + d*x) - 1i)*(A*1i - B)*(a*1i - b)^4)/(2*d) - (log(tan(c + d*x) + 1i)*(A*1i + B)*(a*1i + b)^4)/(2*d)","B"
266,1,307,323,6.955196,"\text{Not used}","int(cot(c + d*x)^7*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^6\,\left(\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{B\,a^4}{5}+\frac{4\,A\,b\,a^3}{5}\right)+\frac{A\,a^4}{6}-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{B\,a^4}{3}+\frac{4\,A\,a^3\,b}{3}-2\,B\,a^2\,b^2-\frac{4\,A\,a\,b^3}{3}\right)+{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-\frac{A\,a^4}{4}+B\,a^3\,b+\frac{3\,A\,a^2\,b^2}{2}\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{A\,a^4}{2}-2\,B\,a^3\,b-3\,A\,a^2\,b^2+2\,B\,a\,b^3+\frac{A\,b^4}{2}\right)+{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(B\,a^4+4\,A\,a^3\,b-6\,B\,a^2\,b^2-4\,A\,a\,b^3+B\,b^4\right)\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a^4-4\,B\,a^3\,b-6\,A\,a^2\,b^2+4\,B\,a\,b^3+A\,b^4\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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)\,{\left(-b+a\,1{}\mathrm{i}\right)}^4}{2\,d}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i)*(a*1i + b)^4)/(2*d) - (log(tan(c + d*x))*(A*a^4 + A*b^4 - 6*A*a^2*b^2 + 4*B*a*b^3 - 4*B*a^3*b))/d - (cot(c + d*x)^6*(tan(c + d*x)*((B*a^4)/5 + (4*A*a^3*b)/5) + (A*a^4)/6 - tan(c + d*x)^3*((B*a^4)/3 - 2*B*a^2*b^2 - (4*A*a*b^3)/3 + (4*A*a^3*b)/3) + tan(c + d*x)^2*((3*A*a^2*b^2)/2 - (A*a^4)/4 + B*a^3*b) + tan(c + d*x)^4*((A*a^4)/2 + (A*b^4)/2 - 3*A*a^2*b^2 + 2*B*a*b^3 - 2*B*a^3*b) + tan(c + d*x)^5*(B*a^4 + B*b^4 - 6*B*a^2*b^2 - 4*A*a*b^3 + 4*A*a^3*b)))/d + (log(tan(c + d*x) - 1i)*(A + B*1i)*(a*1i - b)^4)/(2*d)","B"
267,1,144,127,6.515074,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{A}{b}-\frac{B\,a}{b^2}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^4-A\,a^3\,b\right)}{d\,\left(a^2\,b^3+b^5\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}+\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b\,d}","Not used",1,"(tan(c + d*x)*(A/b - (B*a)/b^2))/d - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*1i - b)) + (log(a + b*tan(c + d*x))*(B*a^4 - A*a^3*b))/(d*(b^5 + a^2*b^3)) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a - b*1i)) + (B*tan(c + d*x)^2)/(2*b*d)","B"
268,1,117,101,6.411617,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{B\,\mathrm{tan}\left(c+d\,x\right)}{b\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^3-A\,a^2\,b\right)}{d\,\left(a^2\,b^2+b^4\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a*1i + b)) - (log(a + b*tan(c + d*x))*(B*a^3 - A*a^2*b))/(d*(b^4 + a^2*b^2)) + (B*tan(c + d*x))/(b*d) + (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a + b*1i))","B"
269,1,100,80,6.655320,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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)\,\left(A\,b-B\,a\right)}{b\,d\,\left(a^2+b^2\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*1i - b)) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a - b*1i)) - (a*log(a + b*tan(c + d*x))*(A*b - B*a))/(b*d*(a^2 + b^2))","B"
270,1,93,58,6.665050,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x)),x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b-B\,a\right)}{d\,\left(a^2+b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(log(a + b*tan(c + d*x))*(A*b - B*a))/(d*(a^2 + b^2)) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a*1i + b)) - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a + b*1i))","B"
271,1,115,80,7.024931,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{A\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b-B\,a\right)}{a\,d\,\left(a^2+b^2\right)}","Not used",1,"(A*log(tan(c + d*x)))/(a*d) - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*1i - b)) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a - b*1i)) - (b*log(a + b*tan(c + d*x))*(A*b - B*a))/(a*d*(a^2 + b^2))","B"
272,1,140,103,7.698204,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b^3-B\,a\,b^2\right)}{d\,\left(a^4+a^2\,b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b-B\,a\right)}{a^2\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{A\,\mathrm{cot}\left(c+d\,x\right)}{a\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(log(a + b*tan(c + d*x))*(A*b^3 - B*a*b^2))/(d*(a^4 + a^2*b^2)) - (log(tan(c + d*x))*(A*b - B*a))/(a^2*d) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a*1i + b)) - (A*cot(c + d*x))/(a*d) + (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a + b*1i))","B"
273,1,175,137,8.152678,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{A}{2\,a}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b-B\,a\right)}{a^2}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(-b+a\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a^2+B\,a\,b-A\,b^2\right)}{a^3\,d}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b^4-B\,a\,b^3\right)}{d\,\left(a^5+a^3\,b^2\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*1i - b)) - (cot(c + d*x)^2*(A/(2*a) - (tan(c + d*x)*(A*b - B*a))/a^2))/d - (log(tan(c + d*x))*(A*a^2 - A*b^2 + B*a*b))/(a^3*d) - (log(a + b*tan(c + d*x))*(A*b^4 - B*a*b^3))/(d*(a^5 + a^3*b^2)) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a - b*1i))","B"
274,1,208,169,8.343999,"\text{Not used}","int((cot(c + d*x)^4*(A + B*tan(c + d*x)))/(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\,a^2+B\,a\,b-A\,b^2\right)}{a^3}-\frac{A}{3\,a}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,b-B\,a\right)}{2\,a^2}\right)}{d}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,b^5-B\,a\,b^4\right)}{d\,\left(a^6+a^4\,b^2\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^3-A\,a^2\,b-B\,a\,b^2+A\,b^3\right)}{a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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)\,\left(-B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(a+b\,1{}\mathrm{i}\right)}","Not used",1,"(cot(c + d*x)^3*((tan(c + d*x)^2*(A*a^2 - A*b^2 + B*a*b))/a^3 - A/(3*a) + (tan(c + d*x)*(A*b - B*a))/(2*a^2)))/d + (log(a + b*tan(c + d*x))*(A*b^5 - B*a*b^4))/(d*(a^6 + a^4*b^2)) - (log(tan(c + d*x))*(A*b^3 + B*a^3 - A*a^2*b - B*a*b^2))/(a^4*d) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a*1i + b)) - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a + b*1i))","B"
275,1,210,208,7.185171,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{B\,\mathrm{tan}\left(c+d\,x\right)}{b^2\,d}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(2\,B\,a^5-A\,a^4\,b+4\,B\,a^3\,b^2-3\,A\,a^2\,b^3\right)}{d\,\left(a^4\,b^3+2\,a^2\,b^5+b^7\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\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)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}-\frac{a^2\,\left(B\,a^2-A\,a\,b\right)}{b\,d\,\left(\mathrm{tan}\left(c+d\,x\right)\,b^3+a\,b^2\right)\,\left(a^2+b^2\right)}","Not used",1,"(B*tan(c + d*x))/(b^2*d) - (log(a + b*tan(c + d*x))*(2*B*a^5 - 3*A*a^2*b^3 + 4*B*a^3*b^2 - A*a^4*b))/(d*(b^7 + 2*a^2*b^5 + a^4*b^3)) - (log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(a*b*2i + a^2 - b^2)) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(2*a*b + a^2*1i - b^2*1i)) - (a^2*(B*a^2 - A*a*b))/(b*d*(a*b^2 + b^3*tan(c + d*x))*(a^2 + b^2))","B"
276,1,165,157,6.555974,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\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)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{a^2\,\left(A\,b-B\,a\right)}{b^2\,d\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}+\frac{a\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^3+3\,B\,a\,b^2-2\,A\,b^3\right)}{b^2\,d\,{\left(a^2+b^2\right)}^2}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(a*b*2i - a^2 + b^2)) + (log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(2*a*b - a^2*1i + b^2*1i)) - (a^2*(A*b - B*a))/(b^2*d*(a^2 + b^2)*(a + b*tan(c + d*x))) + (a*log(a + b*tan(c + d*x))*(B*a^3 - 2*A*b^3 + 3*B*a*b^2))/(b^2*d*(a^2 + b^2)^2)","B"
277,1,163,115,6.601168,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{a\,\left(A\,b-B\,a\right)}{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)\,\left(A+B\,1{}\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)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\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{A}{a^2+b^2}-\frac{2\,b\,\left(A\,b-B\,a\right)}{{\left(a^2+b^2\right)}^2}\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(a*b*2i + a^2 - b^2)) - (log(a + b*tan(c + d*x))*(A/(a^2 + b^2) - (2*b*(A*b - B*a))/(a^2 + b^2)^2))/d + (log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(2*a*b + a^2*1i - b^2*1i)) + (a*(A*b - B*a))/(b*d*(a^2 + b^2)*(a + b*tan(c + d*x)))","B"
278,1,153,111,6.476505,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-B\,a^2+2\,A\,a\,b+B\,b^2\right)}{d\,{\left(a^2+b^2\right)}^2}-\frac{A\,b-B\,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)\,\left(B+A\,1{}\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)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}","Not used",1,"(log(a + b*tan(c + d*x))*(B*b^2 - B*a^2 + 2*A*a*b))/(d*(a^2 + b^2)^2) - (A*b - B*a)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(a*b*2i - a^2 + b^2)) - (log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(2*a*b - a^2*1i + b^2*1i))","B"
279,1,180,137,8.000634,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{A\,\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)\,\left(A+B\,1{}\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)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}+\frac{A\,b^2-B\,a\,b}{a\,d\,\left(a^2+b^2\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-2\,B\,a^3+3\,A\,a^2\,b+A\,b^3\right)}{a^2\,d\,{\left(a^2+b^2\right)}^2}","Not used",1,"(A*log(tan(c + d*x)))/(a^2*d) - (log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(a*b*2i + a^2 - b^2)) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(2*a*b + a^2*1i - b^2*1i)) + (A*b^2 - B*a*b)/(a*d*(a^2 + b^2)*(a + b*tan(c + d*x))) - (b*log(a + b*tan(c + d*x))*(A*b^3 - 2*B*a^3 + 3*A*a^2*b))/(a^2*d*(a^2 + b^2)^2)","B"
280,1,230,192,9.271861,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-3\,B\,a^3+4\,A\,a^2\,b-B\,a\,b^2+2\,A\,b^3\right)}{a^3\,d\,{\left(a^2+b^2\right)}^2}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(2\,A\,b-B\,a\right)}{a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\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)-\mathrm{i}\right)\,\left(A+B\,1{}\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{\frac{A}{a}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a^2\,b-B\,a\,b^2+2\,A\,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)}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(a*b*2i - a^2 + b^2)) - (log(tan(c + d*x))*(2*A*b - B*a))/(a^3*d) - (A/a + (tan(c + d*x)*(2*A*b^3 + A*a^2*b - B*a*b^2))/(a^2*(a^2 + b^2)))/(d*(a*tan(c + d*x) + b*tan(c + d*x)^2)) + (log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(2*a*b - a^2*1i + b^2*1i)) + (b^2*log(a + b*tan(c + d*x))*(2*A*b^3 - 3*B*a^3 + 4*A*a^2*b - B*a*b^2))/(a^3*d*(a^2 + b^2)^2)","B"
281,1,284,250,10.660555,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,A\,b-2\,B\,a\right)}{2\,a^2}-\frac{A}{2\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-B\,a^3\,b+2\,A\,a^2\,b^2-2\,B\,a\,b^3+3\,A\,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)\right)\,\left(A\,a^2+2\,B\,a\,b-3\,A\,b^2\right)}{a^4\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\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(-4\,B\,a^3\,b^3+5\,A\,a^2\,b^4-2\,B\,a\,b^5+3\,A\,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)\,\left(B+A\,1{}\mathrm{i}\right)}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}","Not used",1,"((tan(c + d*x)*(3*A*b - 2*B*a))/(2*a^2) - A/(2*a) + (tan(c + d*x)^2*(3*A*b^4 + 2*A*a^2*b^2 - 2*B*a*b^3 - B*a^3*b))/(a^3*(a^2 + b^2)))/(d*(a*tan(c + d*x)^2 + b*tan(c + d*x)^3)) - (log(tan(c + d*x))*(A*a^2 - 3*A*b^2 + 2*B*a*b))/(a^4*d) + (log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(a*b*2i + a^2 - b^2)) - (log(a + b*tan(c + d*x))*(3*A*b^6 + 5*A*a^2*b^4 - 4*B*a^3*b^3 - 2*B*a*b^5))/(d*(a^8 + a^4*b^4 + 2*a^6*b^2)) + (log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(2*a*b + a^2*1i - b^2*1i))","B"
282,1,335,331,7.868407,"\text{Not used}","int((tan(c + d*x)^4*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{B\,\mathrm{tan}\left(c+d\,x\right)}{b^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,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)+1{}\mathrm{i}\right)\,\left(A-B\,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\,B\,a^7-3\,A\,a^6\,b+9\,B\,a^5\,b^2-7\,A\,a^4\,b^3}{2\,b\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(3\,B\,a^6-2\,A\,a^5\,b+5\,B\,a^4\,b^2-4\,A\,a^3\,b^3\right)}{a^4+2\,a^2\,b^2+b^4}}{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{a^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-3\,B\,a^5+A\,a^4\,b-9\,B\,a^3\,b^2+3\,A\,a^2\,b^3-10\,B\,a\,b^4+6\,A\,b^5\right)}{b^4\,d\,{\left(a^2+b^2\right)}^3}","Not used",1,"(log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - ((5*B*a^7 - 7*A*a^4*b^3 + 9*B*a^5*b^2 - 3*A*a^6*b)/(2*b*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(3*B*a^6 - 4*A*a^3*b^3 + 5*B*a^4*b^2 - 2*A*a^5*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)*(A - B*1i))/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) + (B*tan(c + d*x))/(b^3*d) + (a^2*log(a + b*tan(c + d*x))*(6*A*b^5 - 3*B*a^5 + 3*A*a^2*b^3 - 9*B*a^3*b^2 + A*a^4*b - 10*B*a*b^4))/(b^4*d*(a^2 + b^2)^3)","B"
283,1,307,250,6.863870,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\frac{3\,B\,a^6-A\,a^5\,b+7\,B\,a^4\,b^2-5\,A\,a^3\,b^3}{2\,b^3\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)\,\left(-2\,B\,a^3+A\,a^2\,b-4\,B\,a\,b^2+3\,A\,b^3\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{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,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)+1{}\mathrm{i}\right)\,\left(A-B\,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(B\,a^5+3\,B\,a^3\,b^2+A\,a^2\,b^3+6\,B\,a\,b^4-3\,A\,b^5\right)}{b^3\,d\,{\left(a^2+b^2\right)}^3}","Not used",1,"((3*B*a^6 - 5*A*a^3*b^3 + 7*B*a^4*b^2 - A*a^5*b)/(2*b^3*(a^4 + b^4 + 2*a^2*b^2)) - (a^2*tan(c + d*x)*(3*A*b^3 - 2*B*a^3 + A*a^2*b - 4*B*a*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))) + (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)) + (a*log(a + b*tan(c + d*x))*(B*a^5 - 3*A*b^5 + A*a^2*b^3 + 3*B*a^3*b^2 + 6*B*a*b^4))/(b^3*d*(a^2 + b^2)^3)","B"
284,1,280,189,6.665562,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^3-3\,A\,a^2\,b-3\,B\,a\,b^2+A\,b^3\right)}{d\,{\left(a^2+b^2\right)}^3}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,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)+1{}\mathrm{i}\right)\,\left(A-B\,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{a\,\left(B\,a^4+A\,a^3\,b+5\,B\,a^2\,b^2-3\,A\,a\,b^3\right)}{2\,b^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(B\,a^4+3\,B\,a^2\,b^2-2\,A\,a\,b^3\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)}","Not used",1,"(log(a + b*tan(c + d*x))*(A*b^3 + B*a^3 - 3*A*a^2*b - 3*B*a*b^2))/(d*(a^2 + b^2)^3) - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) - ((a*(B*a^4 + 5*B*a^2*b^2 - 3*A*a*b^3 + A*a^3*b))/(2*b^2*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(B*a^4 + 3*B*a^2*b^2 - 2*A*a*b^3))/(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"
285,1,282,179,6.628153,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(A\,a^2\,b+2\,B\,a\,b^2-A\,b^3\right)}{a^4+2\,a^2\,b^2+b^4}-\frac{B\,a^4-3\,A\,a^3\,b-3\,B\,a^2\,b^2+A\,a\,b^3}{2\,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(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{A\,a+3\,B\,b}{{\left(a^2+b^2\right)}^2}-\frac{4\,b^2\,\left(A\,a+B\,b\right)}{{\left(a^2+b^2\right)}^3}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,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)+1{}\mathrm{i}\right)\,\left(A-B\,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)}","Not used",1,"((tan(c + d*x)*(A*a^2*b - A*b^3 + 2*B*a*b^2))/(a^4 + b^4 + 2*a^2*b^2) - (B*a^4 - 3*B*a^2*b^2 + A*a*b^3 - 3*A*a^3*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))) - (log(a + b*tan(c + d*x))*((A*a + 3*B*b)/(a^2 + b^2)^2 - (4*b^2*(A*a + B*b))/(a^2 + b^2)^3))/d - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i))","B"
286,1,279,175,6.523654,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{3\,A\,b-B\,a}{{\left(a^2+b^2\right)}^2}-\frac{4\,b^2\,\left(A\,b-B\,a\right)}{{\left(a^2+b^2\right)}^3}\right)}{d}-\frac{\frac{-3\,B\,a^3+5\,A\,a^2\,b+B\,a\,b^2+A\,b^3}{2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-B\,a^2\,b+2\,A\,a\,b^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)-\mathrm{i}\right)\,\left(-B+A\,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)+1{}\mathrm{i}\right)\,\left(A-B\,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)}","Not used",1,"(log(a + b*tan(c + d*x))*((3*A*b - B*a)/(a^2 + b^2)^2 - (4*b^2*(A*b - B*a))/(a^2 + b^2)^3))/d - ((A*b^3 - 3*B*a^3 + 5*A*a^2*b + B*a*b^2)/(2*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(B*b^3 + 2*A*a*b^2 - B*a^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))) + (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3))","B"
287,1,315,215,8.379775,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\frac{-5\,B\,a^3\,b+7\,A\,a^2\,b^2-B\,a\,b^3+3\,A\,b^4}{2\,a\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-2\,B\,a^3\,b^2+3\,A\,a^2\,b^3+A\,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{A\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^3\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,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)+1{}\mathrm{i}\right)\,\left(A-B\,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{b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-3\,B\,a^5+6\,A\,a^4\,b+B\,a^3\,b^2+3\,A\,a^2\,b^3+A\,b^5\right)}{a^3\,d\,{\left(a^2+b^2\right)}^3}","Not used",1,"((3*A*b^4 + 7*A*a^2*b^2 - B*a*b^3 - 5*B*a^3*b)/(2*a*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(A*b^5 + 3*A*a^2*b^3 - 2*B*a^3*b^2))/(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))) + (A*log(tan(c + d*x)))/(a^3*d) + (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) + (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i)) - (b*log(a + b*tan(c + d*x))*(A*b^5 - 3*B*a^5 + 3*A*a^2*b^3 + B*a^3*b^2 + 6*A*a^4*b))/(a^3*d*(a^2 + b^2)^3)","B"
288,1,380,287,11.229973,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-6\,B\,a^5+10\,A\,a^4\,b-3\,B\,a^3\,b^2+9\,A\,a^2\,b^3-B\,a\,b^4+3\,A\,b^5\right)}{a^4\,d\,{\left(a^2+b^2\right)}^3}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,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)\,\left(3\,A\,b-B\,a\right)}{a^4\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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{A}{a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(A\,a^4\,b^2-3\,B\,a^3\,b^3+6\,A\,a^2\,b^4-B\,a\,b^5+3\,A\,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\,a^4\,b-7\,B\,a^3\,b^2+17\,A\,a^2\,b^3-3\,B\,a\,b^4+9\,A\,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)}","Not used",1,"(b^2*log(a + b*tan(c + d*x))*(3*A*b^5 - 6*B*a^5 + 9*A*a^2*b^3 - 3*B*a^3*b^2 + 10*A*a^4*b - B*a*b^4))/(a^4*d*(a^2 + b^2)^3) - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) - (log(tan(c + d*x))*(3*A*b - B*a))/(a^4*d) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) - (A/a + (tan(c + d*x)^2*(3*A*b^6 + 6*A*a^2*b^4 + A*a^4*b^2 - 3*B*a^3*b^3 - B*a*b^5))/(a^3*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(9*A*b^5 + 17*A*a^2*b^3 - 7*B*a^3*b^2 + 4*A*a^4*b - 3*B*a*b^4))/(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))","B"
289,1,434,352,12.869685,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(2\,A\,b-B\,a\right)}{a^2}-\frac{A}{2\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-B\,a^5\,b^2+3\,A\,a^4\,b^3-6\,B\,a^3\,b^4+11\,A\,a^2\,b^5-3\,B\,a\,b^6+6\,A\,b^7\right)}{a^4\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(-4\,B\,a^5\,b+11\,A\,a^4\,b^2-17\,B\,a^3\,b^3+33\,A\,a^2\,b^4-9\,B\,a\,b^5+18\,A\,b^6\right)}{2\,a^3\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2+2\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^4\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{A}{a^3}-\frac{A\,a+3\,B\,b}{{\left(a^2+b^2\right)}^2}-\frac{6\,A\,b^2}{a^5}+\frac{3\,B\,b}{a^4}+\frac{4\,b^2\,\left(A\,a+B\,b\right)}{{\left(a^2+b^2\right)}^3}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-B+A\,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)\right)\,\left(A\,a^2+3\,B\,a\,b-6\,A\,b^2\right)}{a^5\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(A-B\,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)}","Not used",1,"((tan(c + d*x)*(2*A*b - B*a))/a^2 - A/(2*a) + (tan(c + d*x)^3*(6*A*b^7 + 11*A*a^2*b^5 + 3*A*a^4*b^3 - 6*B*a^3*b^4 - B*a^5*b^2 - 3*B*a*b^6))/(a^4*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)^2*(18*A*b^6 + 33*A*a^2*b^4 + 11*A*a^4*b^2 - 17*B*a^3*b^3 - 9*B*a*b^5 - 4*B*a^5*b))/(2*a^3*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2*tan(c + d*x)^2 + b^2*tan(c + d*x)^4 + 2*a*b*tan(c + d*x)^3)) + (log(a + b*tan(c + d*x))*(A/a^3 - (A*a + 3*B*b)/(a^2 + b^2)^2 - (6*A*b^2)/a^5 + (3*B*b)/a^4 + (4*b^2*(A*a + B*b))/(a^2 + b^2)^3))/d - (log(tan(c + d*x) - 1i)*(A*1i - B))/(2*d*(a*b^2*3i + 3*a^2*b - a^3*1i - b^3)) - (log(tan(c + d*x))*(A*a^2 - 6*A*b^2 + 3*B*a*b))/(a^5*d) - (log(tan(c + d*x) + 1i)*(A - B*1i))/(2*d*(3*a*b^2 + a^2*b*3i - a^3 - b^3*1i))","B"
290,1,486,351,7.354447,"\text{Not used}","int((tan(c + d*x)^4*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","\frac{\frac{11\,B\,a^9-2\,A\,a^8\,b+34\,B\,a^7\,b^2-4\,A\,a^6\,b^3+47\,B\,a^5\,b^4-26\,A\,a^4\,b^5}{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)}^2\,\left(3\,B\,a^7-A\,a^6\,b+9\,B\,a^5\,b^2-3\,A\,a^4\,b^3+10\,B\,a^3\,b^4-6\,A\,a^2\,b^5\right)}{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)\,\left(9\,B\,a^8-2\,A\,a^7\,b+28\,B\,a^6\,b^2-6\,A\,a^5\,b^3+35\,B\,a^4\,b^4-20\,A\,a^3\,b^5\right)}{2\,b^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)\,\left(A+B\,1{}\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)\,\left(B+A\,1{}\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\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(B\,a^7+4\,B\,a^5\,b^2+5\,B\,a^3\,b^4+4\,A\,a^2\,b^5+10\,B\,a\,b^6-4\,A\,b^7\right)}{b^4\,d\,{\left(a^2+b^2\right)}^4}","Not used",1,"((11*B*a^9 - 26*A*a^4*b^5 - 4*A*a^6*b^3 + 47*B*a^5*b^4 + 34*B*a^7*b^2 - 2*A*a^8*b)/(6*b^4*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(3*B*a^7 - 6*A*a^2*b^5 - 3*A*a^4*b^3 + 10*B*a^3*b^4 + 9*B*a^5*b^2 - A*a^6*b))/(b^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(9*B*a^8 - 20*A*a^3*b^5 - 6*A*a^5*b^3 + 35*B*a^4*b^4 + 28*B*a^6*b^2 - 2*A*a^7*b))/(2*b^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)*(A + B*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)*(A*1i + B))/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) + (a*log(a + b*tan(c + d*x))*(B*a^7 - 4*A*b^7 + 4*A*a^2*b^5 + 5*B*a^3*b^4 + 4*B*a^5*b^2 + 10*B*a*b^6))/(b^4*d*(a^2 + b^2)^4)","B"
291,1,470,298,7.192728,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","\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\,b\,\left(2\,A\,b-B\,a\right)}{{\left(a^2+b^2\right)}^3}+\frac{8\,b^3\,\left(A\,b-B\,a\right)}{{\left(a^2+b^2\right)}^4}\right)}{d}-\frac{\frac{a^2\,\left(2\,B\,a^6+A\,a^5\,b+4\,B\,a^4\,b^2+14\,A\,a^3\,b^3+26\,B\,a^2\,b^4-11\,A\,a\,b^5\right)}{6\,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(B\,a^6+3\,B\,a^4\,b^2+A\,a^3\,b^3+6\,B\,a^2\,b^4-3\,A\,a\,b^5\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(2\,B\,a^6+A\,a^5\,b+6\,B\,a^4\,b^2+8\,A\,a^3\,b^3+20\,B\,a^2\,b^4-9\,A\,a\,b^5\right)}{2\,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)\,\left(B+A\,1{}\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)-\mathrm{i}\right)\,\left(A+B\,1{}\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)}","Not used",1,"(log(a + b*tan(c + d*x))*(A/(a^2 + b^2)^2 - (4*b*(2*A*b - B*a))/(a^2 + b^2)^3 + (8*b^3*(A*b - B*a))/(a^2 + b^2)^4))/d - ((a^2*(2*B*a^6 + 14*A*a^3*b^3 + 26*B*a^2*b^4 + 4*B*a^4*b^2 - 11*A*a*b^5 + A*a^5*b))/(6*b^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(B*a^6 + A*a^3*b^3 + 6*B*a^2*b^4 + 3*B*a^4*b^2 - 3*A*a*b^5))/(b*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (a*tan(c + d*x)*(2*B*a^6 + 8*A*a^3*b^3 + 20*B*a^2*b^4 + 6*B*a^4*b^2 - 9*A*a*b^5 + A*a^5*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)*(A*1i + B))/(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)*(A + B*1i))/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2))","B"
292,1,446,261,7.031879,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{B}{{\left(a^2+b^2\right)}^2}-\frac{4\,b\,\left(A\,a+2\,B\,b\right)}{{\left(a^2+b^2\right)}^3}+\frac{8\,b^3\,\left(A\,a+B\,b\right)}{{\left(a^2+b^2\right)}^4}\right)}{d}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(B\,a^3\,b^2-3\,A\,a^2\,b^3-3\,B\,a\,b^4+A\,b^5\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+\frac{a\,\left(B\,a^6+2\,A\,a^5\,b+14\,B\,a^4\,b^2-20\,A\,a^3\,b^3-11\,B\,a^2\,b^4+2\,A\,a\,b^5\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)\,\left(B\,a^6+8\,B\,a^4\,b^2-14\,A\,a^3\,b^3-9\,B\,a^2\,b^4+2\,A\,a\,b^5\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)-\mathrm{i}\right)\,\left(A+B\,1{}\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)\,\left(B+A\,1{}\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)}","Not used",1,"(log(a + b*tan(c + d*x))*(B/(a^2 + b^2)^2 - (4*b*(A*a + 2*B*b))/(a^2 + b^2)^3 + (8*b^3*(A*a + B*b))/(a^2 + b^2)^4))/d - ((tan(c + d*x)^2*(A*b^5 - 3*A*a^2*b^3 + B*a^3*b^2 - 3*B*a*b^4))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) + (a*(B*a^6 - 20*A*a^3*b^3 - 11*B*a^2*b^4 + 14*B*a^4*b^2 + 2*A*a*b^5 + 2*A*a^5*b))/(6*b^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(B*a^6 - 14*A*a^3*b^3 - 9*B*a^2*b^4 + 8*B*a^4*b^2 + 2*A*a*b^5))/(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))) - (log(tan(c + d*x) - 1i)*(A + B*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)*(A*1i + B))/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2))","B"
293,1,447,250,6.802769,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","-\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-5\,A\,a^4\,b-14\,B\,a^3\,b^2+12\,A\,a^2\,b^3+2\,B\,a\,b^4+A\,b^5\right)}{2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{2\,B\,a^6-11\,A\,a^5\,b-20\,B\,a^4\,b^2+14\,A\,a^3\,b^3+2\,B\,a^2\,b^4+A\,a\,b^5}{6\,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(-A\,a^3\,b^2-3\,B\,a^2\,b^3+3\,A\,a\,b^4+B\,b^5\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{A}{{\left(a^2+b^2\right)}^2}-\frac{4\,b\,\left(2\,A\,b-B\,a\right)}{{\left(a^2+b^2\right)}^3}+\frac{8\,b^3\,\left(A\,b-B\,a\right)}{{\left(a^2+b^2\right)}^4}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\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)-\mathrm{i}\right)\,\left(A+B\,1{}\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)}","Not used",1,"(log(tan(c + d*x) + 1i)*(A*1i + B))/(2*d*(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)) - (log(a + b*tan(c + d*x))*(A/(a^2 + b^2)^2 - (4*b*(2*A*b - B*a))/(a^2 + b^2)^3 + (8*b^3*(A*b - B*a))/(a^2 + b^2)^4))/d - ((tan(c + d*x)*(A*b^5 + 12*A*a^2*b^3 - 14*B*a^3*b^2 - 5*A*a^4*b + 2*B*a*b^4))/(2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (2*B*a^6 + 14*A*a^3*b^3 + 2*B*a^2*b^4 - 20*B*a^4*b^2 + A*a*b^5 - 11*A*a^5*b)/(6*b*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(B*b^5 - A*a^3*b^2 - 3*B*a^2*b^3 + 3*A*a*b^4))/(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)*(A + B*1i))/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2))","B"
294,1,442,247,6.816334,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x))^4,x)","-\frac{\frac{-11\,B\,a^5+26\,A\,a^4\,b+14\,B\,a^3\,b^2+4\,A\,a^2\,b^3+B\,a\,b^4+2\,A\,b^5}{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\,B\,a^4\,b+14\,A\,a^3\,b^2+12\,B\,a^2\,b^3-2\,A\,a\,b^4+B\,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(B\,a^3\,b^2-3\,A\,a^2\,b^3-3\,B\,a\,b^4+A\,b^5\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{B}{{\left(a^2+b^2\right)}^2}-\frac{4\,b\,\left(A\,a+2\,B\,b\right)}{{\left(a^2+b^2\right)}^3}+\frac{8\,b^3\,\left(A\,a+B\,b\right)}{{\left(a^2+b^2\right)}^4}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\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)\,\left(B+A\,1{}\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)}","Not used",1,"(log(tan(c + d*x) - 1i)*(A + B*1i))/(2*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)) - (log(a + b*tan(c + d*x))*(B/(a^2 + b^2)^2 - (4*b*(A*a + 2*B*b))/(a^2 + b^2)^3 + (8*b^3*(A*a + B*b))/(a^2 + b^2)^4))/d - ((2*A*b^5 - 11*B*a^5 + 4*A*a^2*b^3 + 14*B*a^3*b^2 + 26*A*a^4*b + B*a*b^4)/(6*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(B*b^5 + 14*A*a^3*b^2 + 12*B*a^2*b^3 - 2*A*a*b^4 - 5*B*a^4*b))/(2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (tan(c + d*x)^2*(A*b^5 - 3*A*a^2*b^3 + B*a^3*b^2 - 3*B*a*b^4))/(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)*(A*1i + B))/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2))","B"
295,1,484,302,9.755798,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","\frac{\frac{-26\,B\,a^5\,b+47\,A\,a^4\,b^2-4\,B\,a^3\,b^3+34\,A\,a^2\,b^4-2\,B\,a\,b^5+11\,A\,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)}^2\,\left(-3\,B\,a^5\,b^3+6\,A\,a^4\,b^4+B\,a^3\,b^5+3\,A\,a^2\,b^6+A\,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(-14\,B\,a^5\,b^2+27\,A\,a^4\,b^3+2\,B\,a^3\,b^4+16\,A\,a^2\,b^5+5\,A\,b^7\right)}{2\,a^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{A\,\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)\,\left(B+A\,1{}\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)-\mathrm{i}\right)\,\left(A+B\,1{}\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{b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-4\,B\,a^7+10\,A\,a^6\,b+4\,B\,a^5\,b^2+5\,A\,a^4\,b^3+4\,A\,a^2\,b^5+A\,b^7\right)}{a^4\,d\,{\left(a^2+b^2\right)}^4}","Not used",1,"((11*A*b^6 + 34*A*a^2*b^4 + 47*A*a^4*b^2 - 4*B*a^3*b^3 - 2*B*a*b^5 - 26*B*a^5*b)/(6*a*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(A*b^8 + 3*A*a^2*b^6 + 6*A*a^4*b^4 + B*a^3*b^5 - 3*B*a^5*b^3))/(a^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(5*A*b^7 + 16*A*a^2*b^5 + 27*A*a^4*b^3 + 2*B*a^3*b^4 - 14*B*a^5*b^2))/(2*a^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))) + (A*log(tan(c + d*x)))/(a^4*d) - (log(tan(c + d*x) + 1i)*(A*1i + B))/(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)*(A + B*1i))/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2)) - (b*log(a + b*tan(c + d*x))*(A*b^7 - 4*B*a^7 + 4*A*a^2*b^5 + 5*A*a^4*b^3 + 4*B*a^5*b^2 + 10*A*a^6*b))/(a^4*d*(a^2 + b^2)^4)","B"
296,1,576,399,11.018991,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","\frac{b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-10\,B\,a^7+20\,A\,a^6\,b-5\,B\,a^5\,b^2+24\,A\,a^4\,b^3-4\,B\,a^3\,b^4+16\,A\,a^2\,b^5-B\,a\,b^6+4\,A\,b^7\right)}{a^5\,d\,{\left(a^2+b^2\right)}^4}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(4\,A\,b-B\,a\right)}{a^5\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(A+B\,1{}\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)\,\left(B+A\,1{}\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}{a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(A\,a^6\,b^3-6\,B\,a^5\,b^4+13\,A\,a^4\,b^5-3\,B\,a^3\,b^6+12\,A\,a^2\,b^7-B\,a\,b^8+4\,A\,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(6\,A\,a^6\,b^2-27\,B\,a^5\,b^3+62\,A\,a^4\,b^4-16\,B\,a^3\,b^5+60\,A\,a^2\,b^6-5\,B\,a\,b^7+20\,A\,b^8\right)}{2\,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(18\,A\,a^6\,b-47\,B\,a^5\,b^2+128\,A\,a^4\,b^3-34\,B\,a^3\,b^4+130\,A\,a^2\,b^5-11\,B\,a\,b^6+44\,A\,b^7\right)}{6\,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)}","Not used",1,"(b^2*log(a + b*tan(c + d*x))*(4*A*b^7 - 10*B*a^7 + 16*A*a^2*b^5 + 24*A*a^4*b^3 - 4*B*a^3*b^4 - 5*B*a^5*b^2 + 20*A*a^6*b - B*a*b^6))/(a^5*d*(a^2 + b^2)^4) - (log(tan(c + d*x))*(4*A*b - B*a))/(a^5*d) - (log(tan(c + d*x) - 1i)*(A + B*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)*(A*1i + B))/(2*d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) - (A/a + (tan(c + d*x)^3*(4*A*b^9 + 12*A*a^2*b^7 + 13*A*a^4*b^5 + A*a^6*b^3 - 3*B*a^3*b^6 - 6*B*a^5*b^4 - B*a*b^8))/(a^4*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(20*A*b^8 + 60*A*a^2*b^6 + 62*A*a^4*b^4 + 6*A*a^6*b^2 - 16*B*a^3*b^5 - 27*B*a^5*b^3 - 5*B*a*b^7))/(2*a^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)*(44*A*b^7 + 130*A*a^2*b^5 + 128*A*a^4*b^3 - 34*B*a^3*b^4 - 47*B*a^5*b^2 + 18*A*a^6*b - 11*B*a*b^6))/(6*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))","B"
297,1,664,477,12.377647,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(5\,A\,b-2\,B\,a\right)}{2\,a^2}-\frac{A}{2\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(-B\,a^7\,b^3+4\,A\,a^6\,b^4-13\,B\,a^5\,b^5+27\,A\,a^4\,b^6-12\,B\,a^3\,b^7+29\,A\,a^2\,b^8-4\,B\,a\,b^9+10\,A\,b^{10}\right)}{a^5\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(-6\,B\,a^7\,b^2+23\,A\,a^6\,b^3-62\,B\,a^5\,b^4+134\,A\,a^4\,b^5-60\,B\,a^3\,b^6+145\,A\,a^2\,b^7-20\,B\,a\,b^8+50\,A\,b^9\right)}{2\,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(-18\,B\,a^7\,b+63\,A\,a^6\,b^2-128\,B\,a^5\,b^3+296\,A\,a^4\,b^4-130\,B\,a^3\,b^5+319\,A\,a^2\,b^6-44\,B\,a\,b^7+110\,A\,b^8\right)}{6\,a^3\,\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)}^2+3\,a^2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3+3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^4+b^3\,{\mathrm{tan}\left(c+d\,x\right)}^5\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a^2+4\,B\,a\,b-10\,A\,b^2\right)}{a^6\,d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B+A\,1{}\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)-\mathrm{i}\right)\,\left(A+B\,1{}\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(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-20\,B\,a^7\,b^3+35\,A\,a^6\,b^4-24\,B\,a^5\,b^5+56\,A\,a^4\,b^6-16\,B\,a^3\,b^7+39\,A\,a^2\,b^8-4\,B\,a\,b^9+10\,A\,b^{10}\right)}{d\,\left(a^{14}+4\,a^{12}\,b^2+6\,a^{10}\,b^4+4\,a^8\,b^6+a^6\,b^8\right)}","Not used",1,"((tan(c + d*x)*(5*A*b - 2*B*a))/(2*a^2) - A/(2*a) + (tan(c + d*x)^4*(10*A*b^10 + 29*A*a^2*b^8 + 27*A*a^4*b^6 + 4*A*a^6*b^4 - 12*B*a^3*b^7 - 13*B*a^5*b^5 - B*a^7*b^3 - 4*B*a*b^9))/(a^5*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^3*(50*A*b^9 + 145*A*a^2*b^7 + 134*A*a^4*b^5 + 23*A*a^6*b^3 - 60*B*a^3*b^6 - 62*B*a^5*b^4 - 6*B*a^7*b^2 - 20*B*a*b^8))/(2*a^4*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(110*A*b^8 + 319*A*a^2*b^6 + 296*A*a^4*b^4 + 63*A*a^6*b^2 - 130*B*a^3*b^5 - 128*B*a^5*b^3 - 44*B*a*b^7 - 18*B*a^7*b))/(6*a^3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^3*tan(c + d*x)^2 + b^3*tan(c + d*x)^5 + 3*a^2*b*tan(c + d*x)^3 + 3*a*b^2*tan(c + d*x)^4)) - (log(tan(c + d*x))*(A*a^2 - 10*A*b^2 + 4*B*a*b))/(a^6*d) + (log(tan(c + d*x) + 1i)*(A*1i + B))/(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)*(A + B*1i))/(2*d*(a^3*b*4i - a*b^3*4i + a^4 + b^4 - 6*a^2*b^2)) - (log(a + b*tan(c + d*x))*(10*A*b^10 + 39*A*a^2*b^8 + 56*A*a^4*b^6 + 35*A*a^6*b^4 - 16*B*a^3*b^7 - 24*B*a^5*b^5 - 20*B*a^7*b^3 - 4*B*a*b^9))/(d*(a^14 + a^6*b^8 + 4*a^8*b^6 + 6*a^10*b^4 + 4*a^12*b^2))","B"
298,1,28,29,6.206180,"\text{Not used}","int((tan(c + d*x)^3*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\frac{B\,\left(\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\right)}{2\,d}","Not used",1,"-(B*(log(tan(c + d*x)^2 + 1) - tan(c + d*x)^2))/(2*d)","B"
299,1,16,16,6.194641,"\text{Not used}","int((tan(c + d*x)^2*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{B\,\mathrm{tan}\left(c+d\,x\right)}{d}-B\,x","Not used",1,"(B*tan(c + d*x))/d - B*x","B"
300,1,17,13,6.239637,"\text{Not used}","int((tan(c + d*x)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{B\,\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2\,d}","Not used",1,"(B*log(tan(c + d*x)^2 + 1))/(2*d)","B"
301,1,3,3,6.264418,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(a + b*tan(c + d*x)),x)","B\,x","Not used",1,"B*x","B"
302,1,27,12,6.274178,"\text{Not used}","int((cot(c + d*x)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\frac{B\,\left(\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)-2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\right)}{2\,d}","Not used",1,"-(B*(log(tan(c + d*x)^2 + 1) - 2*log(tan(c + d*x))))/(2*d)","B"
303,1,16,17,6.252774,"\text{Not used}","int((cot(c + d*x)^2*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\frac{B\,\left(\mathrm{cot}\left(c+d\,x\right)+d\,x\right)}{d}","Not used",1,"-(B*(cot(c + d*x) + d*x))/d","B"
304,1,37,30,6.236581,"\text{Not used}","int((cot(c + d*x)^3*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\frac{B\,\left({\mathrm{cot}\left(c+d\,x\right)}^2-\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)+2\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\right)}{2\,d}","Not used",1,"-(B*(2*log(tan(c + d*x)) - log(tan(c + d*x)^2 + 1) + cot(c + d*x)^2))/(2*d)","B"
305,1,32,31,6.286471,"\text{Not used}","int((cot(c + d*x)^4*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","B\,x-\frac{\frac{B}{3}-B\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d\,{\mathrm{tan}\left(c+d\,x\right)}^3}","Not used",1,"B*x - (B/3 - B*tan(c + d*x)^2)/(d*tan(c + d*x)^3)","B"
306,1,114,102,6.339196,"\text{Not used}","int((tan(c + d*x)^4*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{B\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b\,d}-\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{B\,a\,\mathrm{tan}\left(c+d\,x\right)}{b^2\,d}+\frac{B\,a^4\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b^3\,d\,\left(a^2+b^2\right)}-\frac{B\,\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*tan(c + d*x)^2)/(2*b*d) - (B*log(tan(c + d*x) + 1i))/(2*d*(a*1i + b)) - (B*log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) - (B*a*tan(c + d*x))/(b^2*d) + (B*a^4*log(a + b*tan(c + d*x)))/(b^3*d*(a^2 + b^2))","B"
307,1,98,83,6.369924,"\text{Not used}","int((tan(c + d*x)^3*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{B\,\mathrm{tan}\left(c+d\,x\right)}{b\,d}-\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{B\,a^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b^2\,d\,\left(a^2+b^2\right)}-\frac{B\,\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,"(B*tan(c + d*x))/(b*d) - (B*log(tan(c + d*x) + 1i))/(2*d*(a - b*1i)) - (B*log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - (B*a^3*log(a + b*tan(c + d*x)))/(b^2*d*(a^2 + b^2))","B"
308,1,81,81,6.408774,"\text{Not used}","int((tan(c + d*x)^2*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}+\frac{B\,a^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b\,d\,\left(a^2+b^2\right)}+\frac{B\,\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(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) + (B*log(tan(c + d*x) + 1i))/(2*d*(a*1i + b)) + (B*a^2*log(a + b*tan(c + d*x)))/(b*d*(a^2 + b^2))","B"
309,1,79,48,6.379433,"\text{Not used}","int((tan(c + d*x)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{B\,a\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^2+b^2\right)}+\frac{B\,\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,"(B*log(tan(c + d*x) + 1i))/(2*d*(a - b*1i)) + (B*log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - (B*a*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2))","B"
310,1,76,47,6.313411,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(a + b*tan(c + d*x))^2,x)","\frac{B\,b\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^2+b^2\right)}-\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{B\,\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*b*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)) - (B*log(tan(c + d*x) + 1i))/(2*d*(a*1i + b)) - (B*log(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i))","B"
311,1,99,69,6.358874,"\text{Not used}","int((cot(c + d*x)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a\,d}-\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{B\,b^2\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{a\,d\,\left(a^2+b^2\right)}-\frac{B\,\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,"(B*log(tan(c + d*x)))/(a*d) - (B*log(tan(c + d*x) + 1i))/(2*d*(a - b*1i)) - (B*log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - (B*b^2*log(a + b*tan(c + d*x)))/(a*d*(a^2 + b^2))","B"
312,1,113,85,6.380035,"\text{Not used}","int((cot(c + d*x)^2*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(b+a\,1{}\mathrm{i}\right)}-\frac{B\,\mathrm{cot}\left(c+d\,x\right)}{a\,d}-\frac{B\,b\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)}{a^2\,d}+\frac{B\,b^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{a^2\,d\,\left(a^2+b^2\right)}+\frac{B\,\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(tan(c + d*x) - 1i)*1i)/(2*d*(a + b*1i)) + (B*log(tan(c + d*x) + 1i))/(2*d*(a*1i + b)) - (B*cot(c + d*x))/(a*d) - (B*b*log(tan(c + d*x)))/(a^2*d) + (B*b^3*log(a + b*tan(c + d*x)))/(a^2*d*(a^2 + b^2))","B"
313,1,143,112,6.429628,"\text{Not used}","int((cot(c + d*x)^3*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","-\frac{{\mathrm{cot}\left(c+d\,x\right)}^2\,\left(\frac{B}{2\,a}-\frac{B\,b\,\mathrm{tan}\left(c+d\,x\right)}{a^2}\right)}{d}+\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}{2\,d\,\left(a-b\,1{}\mathrm{i}\right)}-\frac{B\,\ln\left(\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{a^3\,d}-\frac{B\,b^4\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,\left(a^5+a^3\,b^2\right)}+\frac{B\,\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,"(B*log(tan(c + d*x) + 1i))/(2*d*(a - b*1i)) - (cot(c + d*x)^2*(B/(2*a) - (B*b*tan(c + d*x))/a^2))/d + (B*log(tan(c + d*x) - 1i)*1i)/(2*d*(a*1i - b)) - (B*log(tan(c + d*x))*(a^2 - b^2))/(a^3*d) - (B*b^4*log(a + b*tan(c + d*x)))/(d*(a^5 + a^3*b^2))","B"
314,1,49,25,6.227186,"\text{Not used}","int(-(tan(c + d*x) + 3)/(tan(c + d*x) - 2),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-2\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)}{d}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)}{d}","Not used",1,"(log(tan(c + d*x) - 1i)*(1/2 - 1i/2))/d - log(tan(c + d*x) - 2)/d + (log(tan(c + d*x) + 1i)*(1/2 + 1i/2))/d","B"
315,1,112,58,6.570324,"\text{Not used}","int((B*tan(c + d*x) + (B*b)/a)/(a + b*tan(c + d*x)),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(B\,b+B\,a\,1{}\mathrm{i}\right)}{2\,d\,\left(a\,b-a^2\,1{}\mathrm{i}\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(B\,a+B\,b\,1{}\mathrm{i}\right)}{2\,d\,\left(-a^2+a\,b\,1{}\mathrm{i}\right)}-\frac{B\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2-b^2\right)}{a\,d\,\left(a^2+b^2\right)}","Not used",1,"- (log(tan(c + d*x) - 1i)*(B*a*1i + B*b))/(2*d*(a*b - a^2*1i)) - (log(tan(c + d*x) + 1i)*(B*a + B*b*1i))/(2*d*(a*b*1i - a^2)) - (B*log(a + b*tan(c + d*x))*(a^2 - b^2))/(a*d*(a^2 + b^2))","B"
316,1,152,101,6.625677,"\text{Not used}","int((a + b*tan(c + d*x))/(b + a*tan(c + d*x))^2,x)","\frac{b\,\ln\left(b+a\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(3\,a^2-b^2\right)}{d\,{\left(a^2+b^2\right)}^2}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(a-b\,1{}\mathrm{i}\right)}{2\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}-\frac{a^2-b^2}{d\,\left(a^2+b^2\right)\,\left(b+a\,\mathrm{tan}\left(c+d\,x\right)\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(a+b\,1{}\mathrm{i}\right)}{2\,d\,\left(a^2\,1{}\mathrm{i}+2\,a\,b-b^2\,1{}\mathrm{i}\right)}","Not used",1,"(b*log(b + a*tan(c + d*x))*(3*a^2 - b^2))/(d*(a^2 + b^2)^2) - (log(tan(c + d*x) + 1i)*(a - b*1i))/(2*d*(2*a*b - a^2*1i + b^2*1i)) - (a^2 - b^2)/(d*(a^2 + b^2)*(b + a*tan(c + d*x))) - (log(tan(c + d*x) - 1i)*(a + b*1i))/(2*d*(2*a*b + a^2*1i - b^2*1i))","B"
317,1,1093,233,56.406235,"\text{Not used}","int(tan(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\frac{2\,A\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^2\,d}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a\,\left(\frac{2\,B\,\left(a^2+b^2\right)}{b^3\,d}-\frac{4\,B\,a^2}{b^3\,d}\right)+\frac{8\,B\,a^3}{b^3\,d}-\frac{4\,B\,a\,\left(a^2+b^2\right)}{b^3\,d}\right)-\left(\frac{2\,A\,\left(a^2+b^2\right)}{b^2\,d}-\frac{2\,A\,a^2}{b^2\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\left(\frac{2\,B\,\left(a^2+b^2\right)}{3\,b^3\,d}-\frac{4\,B\,a^2}{3\,b^3\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^3\,d}-\frac{2\,A\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^2\,d}-\frac{4\,B\,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^2\,b^4-B^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{8\,\left(B^3\,a^2\,b^3+B^3\,b^5\right)}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{d^3\,\left(\frac{16\,\left(B^2\,b^4-B^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}-\frac{16\,a\,b^2\,\left(\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{8\,\left(B^3\,a^2\,b^3+B^3\,b^5\right)}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{A^2\,b^4\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d^3}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d^3}}+\frac{a\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,b^2\,d^4}\,32{}\mathrm{i}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{A^2\,b^4\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d^3}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d^3}}-\frac{a\,b^2\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,b^2\,d^4}\,32{}\mathrm{i}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d}}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2}{4\,d^4}}\,2{}\mathrm{i}","Not used",1,"atan((d^3*((16*(B^2*b^4 - B^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)/(4*d^4))^(1/2)*1i)/(8*(B^3*b^5 + B^3*a^2*b^3)))*(-((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)/(4*d^4))^(1/2)*2i - ((2*B*(a^2 + b^2))/(3*b^3*d) - (4*B*a^2)/(3*b^3*d))*(a + b*tan(c + d*x))^(3/2) + atan((d^3*((16*(B^2*b^4 - B^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 - (16*a*b^2*((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)/(4*d^4))^(1/2)*1i)/(8*(B^3*b^5 + B^3*a^2*b^3)))*(((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)/(4*d^4))^(1/2)*2i - (a + b*tan(c + d*x))^(1/2)*(2*a*((2*B*(a^2 + b^2))/(b^3*d) - (4*B*a^2)/(b^3*d)) + (8*B*a^3)/(b^3*d) - (4*B*a*(a^2 + b^2))/(b^3*d)) - atan((A^2*b^4*((-A^4*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d^3 + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d^3) + (a*b^2*((-A^4*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-A^4*b^2*d^4)^(1/2)*32i)/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d))*(((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)/(4*d^4))^(1/2)*2i + atan((A^2*b^4*((A^2*a)/(4*d^2) - (-A^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d^3 + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d^3) - (a*b^2*((A^2*a)/(4*d^2) - (-A^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-A^4*b^2*d^4)^(1/2)*32i)/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d))*(-((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)/(4*d^4))^(1/2)*2i - ((2*A*(a^2 + b^2))/(b^2*d) - (2*A*a^2)/(b^2*d))*(a + b*tan(c + d*x))^(1/2) + (2*A*(a + b*tan(c + d*x))^(5/2))/(5*b^2*d) + (2*B*(a + b*tan(c + d*x))^(7/2))/(7*b^3*d) - (2*A*a*(a + b*tan(c + d*x))^(3/2))/(3*b^2*d) - (4*B*a*(a + b*tan(c + d*x))^(5/2))/(5*b^3*d)","B"
318,1,938,186,21.565610,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atanh}\left(\frac{d^3\,\left(\frac{16\,\left(A^2\,b^4-A^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2}{d^4}}}{16\,\left(A^3\,a^2\,b^3+A^3\,b^5\right)}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2}{d^4}}-\left(\frac{2\,B\,\left(a^2+b^2\right)}{b^2\,d}-\frac{2\,B\,a^2}{b^2\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\mathrm{atanh}\left(\frac{d^3\,\left(\frac{16\,\left(A^2\,b^4-A^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}-\frac{16\,a\,b^2\,\left(\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2}{d^4}}}{16\,\left(A^3\,a^2\,b^3+A^3\,b^5\right)}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2}{d^4}}+\frac{2\,A\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b\,d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^2\,d}-\frac{2\,B\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^2\,d}-\mathrm{atan}\left(\frac{B^2\,b^4\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}+\frac{B^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d^3}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d^3}}+\frac{a\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}+\frac{B^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-B^4\,b^2\,d^4}\,32{}\mathrm{i}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{B^2\,b^4\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d^3}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d^3}}-\frac{a\,b^2\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-B^4\,b^2\,d^4}\,32{}\mathrm{i}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d}}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2}{4\,d^4}}\,2{}\mathrm{i}","Not used",1,"atanh((d^3*((16*(A^2*b^4 - A^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)/d^4)^(1/2))/(16*(A^3*b^5 + A^3*a^2*b^3)))*(-((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)/d^4)^(1/2) - ((2*B*(a^2 + b^2))/(b^2*d) - (2*B*a^2)/(b^2*d))*(a + b*tan(c + d*x))^(1/2) + atanh((d^3*((16*(A^2*b^4 - A^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 - (16*a*b^2*((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)/d^4)^(1/2))/(16*(A^3*b^5 + A^3*a^2*b^3)))*(((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)/d^4)^(1/2) - atan((B^2*b^4*((-B^4*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d^3 + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d^3) + (a*b^2*((-B^4*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-B^4*b^2*d^4)^(1/2)*32i)/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d))*(((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)/(4*d^4))^(1/2)*2i + atan((B^2*b^4*((B^2*a)/(4*d^2) - (-B^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d^3 + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d^3) - (a*b^2*((B^2*a)/(4*d^2) - (-B^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-B^4*b^2*d^4)^(1/2)*32i)/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d))*(-((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)/(4*d^4))^(1/2)*2i + (2*A*(a + b*tan(c + d*x))^(3/2))/(3*b*d) + (2*B*(a + b*tan(c + d*x))^(5/2))/(5*b^2*d) - (2*B*a*(a + b*tan(c + d*x))^(3/2))/(3*b^2*d)","B"
319,1,864,146,12.051679,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atanh}\left(\frac{d^3\,\left(\frac{16\,\left(B^2\,b^4-B^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2}{d^4}}}{16\,\left(B^3\,a^2\,b^3+B^3\,b^5\right)}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2}{d^4}}+\mathrm{atanh}\left(\frac{d^3\,\left(\frac{16\,\left(B^2\,b^4-B^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}-\frac{16\,a\,b^2\,\left(\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2}{d^4}}}{16\,\left(B^3\,a^2\,b^3+B^3\,b^5\right)}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2}{d^4}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,b^4\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d^3}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d^3}}+\frac{32\,a\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,b^2\,d^4}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2}{4\,d^4}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,b^4\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d^3}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d^3}}-\frac{32\,a\,b^2\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,b^2\,d^4}}{\frac{16\,A\,b^4\,\sqrt{-A^4\,b^2\,d^4}}{d}+\frac{16\,A\,a^2\,b^2\,\sqrt{-A^4\,b^2\,d^4}}{d}}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2}{4\,d^4}}+\frac{2\,A\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b\,d}","Not used",1,"atanh((d^3*((16*(B^2*b^4 - B^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)/d^4)^(1/2))/(16*(B^3*b^5 + B^3*a^2*b^3)))*(-((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)/d^4)^(1/2) + atanh((d^3*((16*(B^2*b^4 - B^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 - (16*a*b^2*((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)/d^4)^(1/2))/(16*(B^3*b^5 + B^3*a^2*b^3)))*(((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)/d^4)^(1/2) - 2*atanh((32*A^2*b^4*((-A^4*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d^3 + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d^3) + (32*a*b^2*((-A^4*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-A^4*b^2*d^4)^(1/2))/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d))*(((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)/(4*d^4))^(1/2) + 2*atanh((32*A^2*b^4*((A^2*a)/(4*d^2) - (-A^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d^3 + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d^3) - (32*a*b^2*((A^2*a)/(4*d^2) - (-A^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-A^4*b^2*d^4)^(1/2))/((16*A*b^4*(-A^4*b^2*d^4)^(1/2))/d + (16*A*a^2*b^2*(-A^4*b^2*d^4)^(1/2))/d))*(-((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)/(4*d^4))^(1/2) + (2*A*(a + b*tan(c + d*x))^(1/2))/d + (2*B*(a + b*tan(c + d*x))^(3/2))/(3*b*d)","B"
320,1,845,122,8.635867,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{32\,B^2\,b^4\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d^3}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d^3}}-\frac{32\,a\,b^2\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-B^4\,b^2\,d^4}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d}}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4}-B^2\,a\,d^2}{4\,d^4}}-\mathrm{atanh}\left(\frac{d^3\,\left(\frac{16\,\left(A^2\,b^4-A^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}-\frac{16\,a\,b^2\,\left(\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2}{d^4}}}{16\,\left(A^3\,a^2\,b^3+A^3\,b^5\right)}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4}-A^2\,a\,d^2}{d^4}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,b^4\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}+\frac{B^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d^3}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d^3}}+\frac{32\,a\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}}{4\,d^4}+\frac{B^2\,a}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-B^4\,b^2\,d^4}}{\frac{16\,B\,b^4\,\sqrt{-B^4\,b^2\,d^4}}{d}+\frac{16\,B\,a^2\,b^2\,\sqrt{-B^4\,b^2\,d^4}}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4}+B^2\,a\,d^2}{4\,d^4}}-\mathrm{atanh}\left(\frac{d^3\,\left(\frac{16\,\left(A^2\,b^4-A^2\,a^2\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2}{d^4}}}{16\,\left(A^3\,a^2\,b^3+A^3\,b^5\right)}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4}+A^2\,a\,d^2}{d^4}}+\frac{2\,B\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}","Not used",1,"2*atanh((32*B^2*b^4*((B^2*a)/(4*d^2) - (-B^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d^3 + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d^3) - (32*a*b^2*((B^2*a)/(4*d^2) - (-B^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-B^4*b^2*d^4)^(1/2))/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d))*(-((-B^4*b^2*d^4)^(1/2) - B^2*a*d^2)/(4*d^4))^(1/2) - atanh((d^3*((16*(A^2*b^4 - A^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 - (16*a*b^2*((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)/d^4)^(1/2))/(16*(A^3*b^5 + A^3*a^2*b^3)))*(((-A^4*b^2*d^4)^(1/2) - A^2*a*d^2)/d^4)^(1/2) - 2*atanh((32*B^2*b^4*((-B^4*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d^3 + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d^3) + (32*a*b^2*((-B^4*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-B^4*b^2*d^4)^(1/2))/((16*B*b^4*(-B^4*b^2*d^4)^(1/2))/d + (16*B*a^2*b^2*(-B^4*b^2*d^4)^(1/2))/d))*(((-B^4*b^2*d^4)^(1/2) + B^2*a*d^2)/(4*d^4))^(1/2) - atanh((d^3*((16*(A^2*b^4 - A^2*a^2*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)/d^4)^(1/2))/(16*(A^3*b^5 + A^3*a^2*b^3)))*(-((-A^4*b^2*d^4)^(1/2) + A^2*a*d^2)/d^4)^(1/2) + (2*B*(a + b*tan(c + d*x))^(1/2))/d","B"
321,1,9785,131,8.473926,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{64\,\left(A^5\,a^3\,b^{10}+A^5\,a\,b^{12}+A^4\,B\,a^4\,b^9+A^4\,B\,a^2\,b^{11}+A^3\,B^2\,a^5\,b^8+3\,A^3\,B^2\,a^3\,b^{10}+2\,A^3\,B^2\,a\,b^{12}+A^2\,B^3\,a^4\,b^9+A^2\,B^3\,a^2\,b^{11}+A\,B^4\,a^5\,b^8+2\,A\,B^4\,a^3\,b^{10}+A\,B^4\,a\,b^{12}\right)}{d^5}}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{64\,\left(A^5\,a^3\,b^{10}+A^5\,a\,b^{12}+A^4\,B\,a^4\,b^9+A^4\,B\,a^2\,b^{11}+A^3\,B^2\,a^5\,b^8+3\,A^3\,B^2\,a^3\,b^{10}+2\,A^3\,B^2\,a\,b^{12}+A^2\,B^3\,a^4\,b^9+A^2\,B^3\,a^2\,b^{11}+A\,B^4\,a^5\,b^8+2\,A\,B^4\,a^3\,b^{10}+A\,B^4\,a\,b^{12}\right)}{d^5}}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}+\frac{A\,\sqrt{a}\,\mathrm{atan}\left(\frac{\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}-\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}-\frac{32\,A\,\sqrt{a}\,\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^5}\right)}{d}\right)}{d}\right)}{d}\right)\,1{}\mathrm{i}}{d}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}-\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}-\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}+\frac{32\,A\,\sqrt{a}\,\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^5}\right)}{d}\right)}{d}\right)}{d}\right)\,1{}\mathrm{i}}{d}}{\frac{64\,\left(A^5\,a^3\,b^{10}+A^5\,a\,b^{12}+A^4\,B\,a^4\,b^9+A^4\,B\,a^2\,b^{11}+A^3\,B^2\,a^5\,b^8+3\,A^3\,B^2\,a^3\,b^{10}+2\,A^3\,B^2\,a\,b^{12}+A^2\,B^3\,a^4\,b^9+A^2\,B^3\,a^2\,b^{11}+A\,B^4\,a^5\,b^8+2\,A\,B^4\,a^3\,b^{10}+A\,B^4\,a\,b^{12}\right)}{d^5}-\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}-\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}-\frac{32\,A\,\sqrt{a}\,\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^5}\right)}{d}\right)}{d}\right)}{d}\right)}{d}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^4\,b^8+A^4\,b^{12}-8\,A^3\,B\,a^3\,b^9+6\,A^2\,B^2\,a^2\,b^{10}+2\,A^2\,B^2\,b^{12}+B^4\,a^4\,b^8+2\,B^4\,a^2\,b^{10}+B^4\,b^{12}\right)}{d^4}-\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(3\,A^3\,a^4\,b^8\,d^2+3\,A^3\,a^2\,b^{10}\,d^2-15\,A^2\,B\,a^3\,b^9\,d^2-15\,A^2\,B\,a\,b^{11}\,d^2-9\,A\,B^2\,a^4\,b^8\,d^2-9\,A\,B^2\,a^2\,b^{10}\,d^2+B^3\,a^3\,b^9\,d^2+B^3\,a\,b^{11}\,d^2\right)}{d^5}-\frac{A\,\sqrt{a}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^3\,b^8\,d^2-6\,A^2\,a\,b^{10}\,d^2+24\,A\,B\,a^2\,b^9\,d^2+16\,A\,B\,b^{11}\,d^2+10\,B^2\,a^3\,b^8\,d^2+6\,B^2\,a\,b^{10}\,d^2\right)}{d^4}+\frac{A\,\sqrt{a}\,\left(\frac{32\,\left(12\,A\,a^3\,b^8\,d^4+12\,A\,a\,b^{10}\,d^4\right)}{d^5}+\frac{32\,A\,\sqrt{a}\,\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^5}\right)}{d}\right)}{d}\right)}{d}\right)}{d}}\right)\,2{}\mathrm{i}}{d}","Not used",1,"(A*a^(1/2)*atan(((A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4 + (A*a^(1/2)*((32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5 + (A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4 - (A*a^(1/2)*((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 - (32*A*a^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d)*1i)/d + (A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4 - (A*a^(1/2)*((32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5 - (A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4 + (A*a^(1/2)*((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 + (32*A*a^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d)*1i)/d)/((64*(A^5*a*b^12 + A^5*a^3*b^10 + A^2*B^3*a^2*b^11 + A^2*B^3*a^4*b^9 + 3*A^3*B^2*a^3*b^10 + A^3*B^2*a^5*b^8 + A*B^4*a*b^12 + 2*A*B^4*a^3*b^10 + A*B^4*a^5*b^8 + 2*A^3*B^2*a*b^12 + A^4*B*a^2*b^11 + A^4*B*a^4*b^9))/d^5 - (A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4 + (A*a^(1/2)*((32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5 + (A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4 - (A*a^(1/2)*((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 - (32*A*a^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d))/d + (A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4 - (A*a^(1/2)*((32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5 - (A*a^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4 + (A*a^(1/2)*((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 + (32*A*a^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d))/d))/d))*2i)/d - atan(((((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i - (((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i)/((((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (64*(A^5*a*b^12 + A^5*a^3*b^10 + A^2*B^3*a^2*b^11 + A^2*B^3*a^4*b^9 + 3*A^3*B^2*a^3*b^10 + A^3*B^2*a^5*b^8 + A*B^4*a*b^12 + 2*A*B^4*a^3*b^10 + A*B^4*a^5*b^8 + 2*A^3*B^2*a*b^12 + A^4*B*a^2*b^11 + A^4*B*a^4*b^9))/d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*2i - atan(((((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i - (((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i)/((((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (((((32*(12*A*a*b^10*d^4 + 12*A*a^3*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*B^2*a^3*b^8*d^2 - 18*A^2*a^3*b^8*d^2 + 16*A*B*b^11*d^2 - 6*A^2*a*b^10*d^2 + 6*B^2*a*b^10*d^2 + 24*A*B*a^2*b^9*d^2))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - (32*(3*A^3*a^2*b^10*d^2 + 3*A^3*a^4*b^8*d^2 + B^3*a^3*b^9*d^2 + B^3*a*b^11*d^2 - 15*A^2*B*a*b^11*d^2 - 9*A*B^2*a^2*b^10*d^2 - 9*A*B^2*a^4*b^8*d^2 - 15*A^2*B*a^3*b^9*d^2))/d^5)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^12 + B^4*b^12 + 2*A^2*B^2*b^12 + 3*A^4*a^4*b^8 + 2*B^4*a^2*b^10 + B^4*a^4*b^8 + 6*A^2*B^2*a^2*b^10 - 8*A^3*B*a^3*b^9))/d^4)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (64*(A^5*a*b^12 + A^5*a^3*b^10 + A^2*B^3*a^2*b^11 + A^2*B^3*a^4*b^9 + 3*A^3*B^2*a^3*b^10 + A^3*B^2*a^5*b^8 + A*B^4*a*b^12 + 2*A*B^4*a^3*b^10 + A*B^4*a^5*b^8 + 2*A^3*B^2*a*b^12 + A^4*B*a^2*b^11 + A^4*B*a^4*b^9))/d^5))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*2i","B"
322,1,10987,167,7.574747,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),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{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(2\,A^5\,a^4\,b^9+3\,A^5\,a^2\,b^{11}+A^5\,b^{13}+4\,A^4\,B\,a^5\,b^8+3\,A^4\,B\,a^3\,b^{10}-A^4\,B\,a\,b^{12}-4\,A^3\,B^2\,a^4\,b^9-A^3\,B^2\,a^2\,b^{11}+3\,A^3\,B^2\,b^{13}+4\,A^2\,B^3\,a^5\,b^8+7\,A^2\,B^3\,a^3\,b^{10}+3\,A^2\,B^3\,a\,b^{12}-6\,A\,B^4\,a^4\,b^9-4\,A\,B^4\,a^2\,b^{11}+2\,A\,B^4\,b^{13}+4\,B^5\,a^3\,b^{10}+4\,B^5\,a\,b^{12}\right)}{d^5}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(2\,A^5\,a^4\,b^9+3\,A^5\,a^2\,b^{11}+A^5\,b^{13}+4\,A^4\,B\,a^5\,b^8+3\,A^4\,B\,a^3\,b^{10}-A^4\,B\,a\,b^{12}-4\,A^3\,B^2\,a^4\,b^9-A^3\,B^2\,a^2\,b^{11}+3\,A^3\,B^2\,b^{13}+4\,A^2\,B^3\,a^5\,b^8+7\,A^2\,B^3\,a^3\,b^{10}+3\,A^2\,B^3\,a\,b^{12}-6\,A\,B^4\,a^4\,b^9-4\,A\,B^4\,a^2\,b^{11}+2\,A\,B^4\,b^{13}+4\,B^5\,a^3\,b^{10}+4\,B^5\,a\,b^{12}\right)}{d^5}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,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{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}+\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}-\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}+\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,A\,b^{11}\,d^4\right)}{d^5}-\frac{8\,\left(A\,b+2\,B\,a\right)\,\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{a}\,d^5}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)}{2\,\sqrt{a}\,d}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)\,1{}\mathrm{i}}{2\,\sqrt{a}\,d}+\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}-\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}+\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}-\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,A\,b^{11}\,d^4\right)}{d^5}+\frac{8\,\left(A\,b+2\,B\,a\right)\,\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{a}\,d^5}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)}{2\,\sqrt{a}\,d}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)\,1{}\mathrm{i}}{2\,\sqrt{a}\,d}}{\frac{16\,\left(2\,A^5\,a^4\,b^9+3\,A^5\,a^2\,b^{11}+A^5\,b^{13}+4\,A^4\,B\,a^5\,b^8+3\,A^4\,B\,a^3\,b^{10}-A^4\,B\,a\,b^{12}-4\,A^3\,B^2\,a^4\,b^9-A^3\,B^2\,a^2\,b^{11}+3\,A^3\,B^2\,b^{13}+4\,A^2\,B^3\,a^5\,b^8+7\,A^2\,B^3\,a^3\,b^{10}+3\,A^2\,B^3\,a\,b^{12}-6\,A\,B^4\,a^4\,b^9-4\,A\,B^4\,a^2\,b^{11}+2\,A\,B^4\,b^{13}+4\,B^5\,a^3\,b^{10}+4\,B^5\,a\,b^{12}\right)}{d^5}-\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}+\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}-\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}+\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,A\,b^{11}\,d^4\right)}{d^5}-\frac{8\,\left(A\,b+2\,B\,a\right)\,\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{a}\,d^5}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)}{2\,\sqrt{a}\,d}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)}{2\,\sqrt{a}\,d}+\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b^8+3\,A^4\,a^2\,b^{10}+3\,A^4\,b^{12}-4\,A^3\,B\,a^3\,b^9+8\,A^3\,B\,a\,b^{11}+29\,A^2\,B^2\,a^2\,b^{10}+3\,A^2\,B^2\,b^{12}+20\,A\,B^3\,a^3\,b^9-4\,A\,B^3\,a\,b^{11}+6\,B^4\,a^4\,b^8+2\,B^4\,b^{12}\right)}{d^4}-\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-20\,A^3\,a^3\,b^9\,d^2-20\,A^3\,a\,b^{11}\,d^2-36\,A^2\,B\,a^4\,b^8\,d^2-8\,A^2\,B\,a^2\,b^{10}\,d^2+28\,A^2\,B\,b^{12}\,d^2+60\,A\,B^2\,a^3\,b^9\,d^2+60\,A\,B^2\,a\,b^{11}\,d^2+12\,B^3\,a^4\,b^8\,d^2+12\,B^3\,a^2\,b^{10}\,d^2\right)}{d^5}+\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^3\,b^8\,d^2-8\,A^2\,a\,b^{10}\,d^2+64\,A\,B\,a^2\,b^9\,d^2+32\,A\,B\,b^{11}\,d^2+36\,B^2\,a^3\,b^8\,d^2+12\,B^2\,a\,b^{10}\,d^2\right)}{d^4}-\frac{\left(A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^3\,b^8\,d^4+32\,A\,a^2\,b^9\,d^4+48\,B\,a\,b^{10}\,d^4+32\,A\,b^{11}\,d^4\right)}{d^5}+\frac{8\,\left(A\,b+2\,B\,a\right)\,\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{a}\,d^5}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)}{2\,\sqrt{a}\,d}\right)}{2\,\sqrt{a}\,d}\right)\,\left(A\,b+2\,B\,a\right)}{2\,\sqrt{a}\,d}}\right)\,\left(A\,b+2\,B\,a\right)\,1{}\mathrm{i}}{\sqrt{a}\,d}","Not used",1,"(atan(((((16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4 + ((A*b + 2*B*a)*((8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5 - (((16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4 + ((A*b + 2*B*a)*((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*d^4))/d^5 - (8*(A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(2*a^(1/2)*d))*(A*b + 2*B*a))/(2*a^(1/2)*d)))/(2*a^(1/2)*d))*(A*b + 2*B*a)*1i)/(2*a^(1/2)*d) + (((16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4 - ((A*b + 2*B*a)*((8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5 + (((16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4 - ((A*b + 2*B*a)*((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*d^4))/d^5 + (8*(A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(2*a^(1/2)*d))*(A*b + 2*B*a))/(2*a^(1/2)*d)))/(2*a^(1/2)*d))*(A*b + 2*B*a)*1i)/(2*a^(1/2)*d))/((16*(A^5*b^13 + 2*A*B^4*b^13 + 4*B^5*a*b^12 + 3*A^3*B^2*b^13 + 3*A^5*a^2*b^11 + 2*A^5*a^4*b^9 + 4*B^5*a^3*b^10 + 7*A^2*B^3*a^3*b^10 + 4*A^2*B^3*a^5*b^8 - A^3*B^2*a^2*b^11 - 4*A^3*B^2*a^4*b^9 - A^4*B*a*b^12 - 4*A*B^4*a^2*b^11 - 6*A*B^4*a^4*b^9 + 3*A^2*B^3*a*b^12 + 3*A^4*B*a^3*b^10 + 4*A^4*B*a^5*b^8))/d^5 - (((16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4 + ((A*b + 2*B*a)*((8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5 - (((16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4 + ((A*b + 2*B*a)*((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*d^4))/d^5 - (8*(A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(2*a^(1/2)*d))*(A*b + 2*B*a))/(2*a^(1/2)*d)))/(2*a^(1/2)*d))*(A*b + 2*B*a))/(2*a^(1/2)*d) + (((16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4 - ((A*b + 2*B*a)*((8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5 + (((16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4 - ((A*b + 2*B*a)*((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*d^4))/d^5 + (8*(A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*d^5)))/(2*a^(1/2)*d))*(A*b + 2*B*a))/(2*a^(1/2)*d)))/(2*a^(1/2)*d))*(A*b + 2*B*a))/(2*a^(1/2)*d)))*(A*b + 2*B*a)*1i)/(a^(1/2)*d) - atan(((((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2)*1i - (((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2)*1i)/((16*(A^5*b^13 + 2*A*B^4*b^13 + 4*B^5*a*b^12 + 3*A^3*B^2*b^13 + 3*A^5*a^2*b^11 + 2*A^5*a^4*b^9 + 4*B^5*a^3*b^10 + 7*A^2*B^3*a^3*b^10 + 4*A^2*B^3*a^5*b^8 - A^3*B^2*a^2*b^11 - 4*A^3*B^2*a^4*b^9 - A^4*B*a*b^12 - 4*A*B^4*a^2*b^11 - 6*A*B^4*a^4*b^9 + 3*A^2*B^3*a*b^12 + 3*A^4*B*a^3*b^10 + 4*A^4*B*a^5*b^8))/d^5 + (((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + (((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2)))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2)*2i - atan(((((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2)*1i - (((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2)*1i)/((16*(A^5*b^13 + 2*A*B^4*b^13 + 4*B^5*a*b^12 + 3*A^3*B^2*b^13 + 3*A^5*a^2*b^11 + 2*A^5*a^4*b^9 + 4*B^5*a^3*b^10 + 7*A^2*B^3*a^3*b^10 + 4*A^2*B^3*a^5*b^8 - A^3*B^2*a^2*b^11 - 4*A^3*B^2*a^4*b^9 - A^4*B*a*b^12 - 4*A*B^4*a^2*b^11 - 6*A*B^4*a^4*b^9 + 3*A^2*B^3*a*b^12 + 3*A^4*B*a^3*b^10 + 4*A^4*B*a^5*b^8))/d^5 + (((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + (((((8*(32*A*b^11*d^4 + 48*B*a*b^10*d^4 + 32*A*a^2*b^9*d^4 + 48*B*a^3*b^8*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)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(36*B^2*a^3*b^8*d^2 - 20*A^2*a^3*b^8*d^2 + 32*A*B*b^11*d^2 - 8*A^2*a*b^10*d^2 + 12*B^2*a*b^10*d^2 + 64*A*B*a^2*b^9*d^2))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (8*(12*B^3*a^2*b^10*d^2 - 20*A^3*a^3*b^9*d^2 + 12*B^3*a^4*b^8*d^2 + 28*A^2*B*b^12*d^2 - 20*A^3*a*b^11*d^2 + 60*A*B^2*a*b^11*d^2 + 60*A*B^2*a^3*b^9*d^2 - 8*A^2*B*a^2*b^10*d^2 - 36*A^2*B*a^4*b^8*d^2))/d^5)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(3*A^4*b^12 + 2*B^4*b^12 + 3*A^2*B^2*b^12 + 3*A^4*a^2*b^10 + 2*A^4*a^4*b^8 + 6*B^4*a^4*b^8 + 29*A^2*B^2*a^2*b^10 - 4*A*B^3*a*b^11 + 8*A^3*B*a*b^11 + 20*A*B^3*a^3*b^9 - 4*A^3*B*a^3*b^9))/d^4)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2)))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2)*2i + (A*b*(a + b*tan(c + d*x))^(1/2))/(a*d - d*(a + b*tan(c + d*x)))","B"
323,1,14195,219,7.897170,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}+\frac{\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)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}-\frac{\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)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}+\frac{\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)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}-\frac{\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)}\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{56\,A^5\,a^5\,b^{10}+63\,A^5\,a^3\,b^{12}+7\,A^5\,a\,b^{14}+96\,A^4\,B\,a^6\,b^9+88\,A^4\,B\,a^4\,b^{11}-7\,A^4\,B\,a^2\,b^{13}+A^4\,B\,b^{15}+64\,A^3\,B^2\,a^7\,b^8+112\,A^3\,B^2\,a^5\,b^{10}+55\,A^3\,B^2\,a^3\,b^{12}+7\,A^3\,B^2\,a\,b^{14}+64\,A^2\,B^3\,a^6\,b^9+40\,A^2\,B^3\,a^4\,b^{11}-23\,A^2\,B^3\,a^2\,b^{13}+A^2\,B^3\,b^{15}+64\,A\,B^4\,a^7\,b^8+56\,A\,B^4\,a^5\,b^{10}-8\,A\,B^4\,a^3\,b^{12}-32\,B^5\,a^6\,b^9-48\,B^5\,a^4\,b^{11}-16\,B^5\,a^2\,b^{13}}{a^2\,d^5}}\right)\,\sqrt{\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}+\frac{\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)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}-\frac{\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)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}+\frac{\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)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{a^2\,d^5}-\frac{\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)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}+\frac{56\,A^5\,a^5\,b^{10}+63\,A^5\,a^3\,b^{12}+7\,A^5\,a\,b^{14}+96\,A^4\,B\,a^6\,b^9+88\,A^4\,B\,a^4\,b^{11}-7\,A^4\,B\,a^2\,b^{13}+A^4\,B\,b^{15}+64\,A^3\,B^2\,a^7\,b^8+112\,A^3\,B^2\,a^5\,b^{10}+55\,A^3\,B^2\,a^3\,b^{12}+7\,A^3\,B^2\,a\,b^{14}+64\,A^2\,B^3\,a^6\,b^9+40\,A^2\,B^3\,a^4\,b^{11}-23\,A^2\,B^3\,a^2\,b^{13}+A^2\,B^3\,b^{15}+64\,A\,B^4\,a^7\,b^8+56\,A\,B^4\,a^5\,b^{10}-8\,A\,B^4\,a^3\,b^{12}-32\,B^5\,a^6\,b^9-48\,B^5\,a^4\,b^{11}-16\,B^5\,a^2\,b^{13}}{a^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A^2\,a}{4\,d^2}-\frac{B^2\,a}{4\,d^2}-\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}-\frac{\left(\frac{A\,b^2}{4}-B\,a\,b\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\frac{\left(A\,b^2+4\,B\,a\,b\right)\,{\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{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{8\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{8\,a^2\,d^5}-\frac{\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)}\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{64\,a^5\,d^5}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}\,1{}\mathrm{i}}{a^3\,d}-\frac{\left(\frac{\left(\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{8\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{8\,a^2\,d^5}+\frac{\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)}\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{64\,a^5\,d^5}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}\,1{}\mathrm{i}}{a^3\,d}}{\frac{56\,A^5\,a^5\,b^{10}+63\,A^5\,a^3\,b^{12}+7\,A^5\,a\,b^{14}+96\,A^4\,B\,a^6\,b^9+88\,A^4\,B\,a^4\,b^{11}-7\,A^4\,B\,a^2\,b^{13}+A^4\,B\,b^{15}+64\,A^3\,B^2\,a^7\,b^8+112\,A^3\,B^2\,a^5\,b^{10}+55\,A^3\,B^2\,a^3\,b^{12}+7\,A^3\,B^2\,a\,b^{14}+64\,A^2\,B^3\,a^6\,b^9+40\,A^2\,B^3\,a^4\,b^{11}-23\,A^2\,B^3\,a^2\,b^{13}+A^2\,B^3\,b^{15}+64\,A\,B^4\,a^7\,b^8+56\,A\,B^4\,a^5\,b^{10}-8\,A\,B^4\,a^3\,b^{12}-32\,B^5\,a^6\,b^9-48\,B^5\,a^4\,b^{11}-16\,B^5\,a^2\,b^{13}}{a^2\,d^5}+\frac{\left(\frac{\left(\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{8\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{8\,a^2\,d^5}-\frac{\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)}\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{64\,a^5\,d^5}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{a^3\,d}+\frac{\left(\frac{\left(\frac{-96\,A^3\,a^6\,b^8\,d^2-96\,A^3\,a^4\,b^{10}\,d^2+2\,A^3\,a^2\,b^{12}\,d^2+2\,A^3\,b^{14}\,d^2+480\,A^2\,B\,a^5\,b^9\,d^2+528\,A^2\,B\,a^3\,b^{11}\,d^2+48\,A^2\,B\,a\,b^{13}\,d^2+288\,A\,B^2\,a^6\,b^8\,d^2+96\,A\,B^2\,a^4\,b^{10}\,d^2-192\,A\,B^2\,a^2\,b^{12}\,d^2-160\,B^3\,a^5\,b^9\,d^2-160\,B^3\,a^3\,b^{11}\,d^2}{8\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^5\,b^8\,d^4-256\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4-256\,B\,a^2\,b^{11}\,d^4+64\,A\,a\,b^{12}\,d^4}{8\,a^2\,d^5}+\frac{\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)}\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{64\,a^5\,d^5}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2-256\,A^2\,a^3\,b^{10}\,d^2-4\,A^2\,a\,b^{12}\,d^2+1024\,A\,B\,a^4\,b^9\,d^2+544\,A\,B\,a^2\,b^{11}\,d^2+320\,B^2\,a^5\,b^8\,d^2+128\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{8\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^6\,b^8+16\,A^4\,a^4\,b^{10}+17\,A^4\,a^2\,b^{12}-A^4\,b^{14}-320\,A^3\,B\,a^5\,b^9-8\,A^3\,B\,a^3\,b^{11}+4\,A^3\,B\,a\,b^{13}+448\,A^2\,B^2\,a^4\,b^{10}+95\,A^2\,B^2\,a^2\,b^{12}+A^2\,B^2\,b^{14}+64\,A\,B^3\,a^5\,b^9-120\,A\,B^3\,a^3\,b^{11}-8\,A\,B^3\,a\,b^{13}+32\,B^4\,a^6\,b^8+48\,B^4\,a^4\,b^{10}+48\,B^4\,a^2\,b^{12}\right)}{8\,a^2\,d^4}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}}{a^3\,d}}\right)\,\sqrt{64\,A^2\,a^7+16\,A^2\,a^5\,b^2+A^2\,a^3\,b^4-64\,A\,B\,a^6\,b-8\,A\,B\,a^4\,b^3+16\,B^2\,a^5\,b^2}\,1{}\mathrm{i}}{4\,a^3\,d}","Not used",1,"(atan(((((((2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(8*a^2*d^5) + (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(8*a^2*d^5) - ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(64*a^5*d^5))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2)*1i)/(a^3*d) - (((((2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(8*a^2*d^5) + (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(8*a^2*d^5) + ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(64*a^5*d^5))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2)*1i)/(a^3*d))/((A^4*B*b^15 + 7*A^5*a*b^14 + A^2*B^3*b^15 + 63*A^5*a^3*b^12 + 56*A^5*a^5*b^10 - 16*B^5*a^2*b^13 - 48*B^5*a^4*b^11 - 32*B^5*a^6*b^9 - 23*A^2*B^3*a^2*b^13 + 40*A^2*B^3*a^4*b^11 + 64*A^2*B^3*a^6*b^9 + 55*A^3*B^2*a^3*b^12 + 112*A^3*B^2*a^5*b^10 + 64*A^3*B^2*a^7*b^8 - 8*A*B^4*a^3*b^12 + 56*A*B^4*a^5*b^10 + 64*A*B^4*a^7*b^8 + 7*A^3*B^2*a*b^14 - 7*A^4*B*a^2*b^13 + 88*A^4*B*a^4*b^11 + 96*A^4*B*a^6*b^9)/(a^2*d^5) + (((((2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(8*a^2*d^5) + (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(8*a^2*d^5) - ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(64*a^5*d^5))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(a^3*d) + (((((2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(8*a^2*d^5) + (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(8*a^2*d^5) + ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(64*a^5*d^5))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(8*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(8*a^2*d^4))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2))/(a^3*d)))*(64*A^2*a^7 + A^2*a^3*b^4 + 16*A^2*a^5*b^2 + 16*B^2*a^5*b^2 - 64*A*B*a^6*b - 8*A*B*a^4*b^3)^(1/2)*1i)/(4*a^3*d) - atan(((((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) + ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i - (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) - ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i)/((((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) + ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) - ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (A^4*B*b^15 + 7*A^5*a*b^14 + A^2*B^3*b^15 + 63*A^5*a^3*b^12 + 56*A^5*a^5*b^10 - 16*B^5*a^2*b^13 - 48*B^5*a^4*b^11 - 32*B^5*a^6*b^9 - 23*A^2*B^3*a^2*b^13 + 40*A^2*B^3*a^4*b^11 + 64*A^2*B^3*a^6*b^9 + 55*A^3*B^2*a^3*b^12 + 112*A^3*B^2*a^5*b^10 + 64*A^3*B^2*a^7*b^8 - 8*A*B^4*a^3*b^12 + 56*A*B^4*a^5*b^10 + 64*A*B^4*a^7*b^8 + 7*A^3*B^2*a*b^14 - 7*A^4*B*a^2*b^13 + 88*A^4*B*a^4*b^11 + 96*A^4*B*a^6*b^9)/(a^2*d^5)))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A^2*a)/(4*d^2) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*2i - (((A*b^2)/4 - B*a*b)*(a + b*tan(c + d*x))^(1/2) + ((A*b^2 + 4*B*a*b)*(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))) - atan(((((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) + ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i - (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) - ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*1i)/((((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) + ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (((((64*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 + 384*A*a^5*b^8*d^4 - 256*B*a^2*b^11*d^4 - 256*B*a^4*b^9*d^4)/(a^2*d^5) - ((512*a^2*b^10*d^4 + 768*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(128*B^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 256*A^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 4*A^2*a*b^12*d^2 + 544*A*B*a^2*b^11*d^2 + 1024*A*B*a^4*b^9*d^2))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (2*A^3*b^14*d^2 + 2*A^3*a^2*b^12*d^2 - 96*A^3*a^4*b^10*d^2 - 96*A^3*a^6*b^8*d^2 - 160*B^3*a^3*b^11*d^2 - 160*B^3*a^5*b^9*d^2 + 48*A^2*B*a*b^13*d^2 - 192*A*B^2*a^2*b^12*d^2 + 96*A*B^2*a^4*b^10*d^2 + 288*A*B^2*a^6*b^8*d^2 + 528*A^2*B*a^3*b^11*d^2 + 480*A^2*B*a^5*b^9*d^2)/(a^2*d^5))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^14 - A^4*b^14 + 17*A^4*a^2*b^12 + 16*A^4*a^4*b^10 + 96*A^4*a^6*b^8 + 48*B^4*a^2*b^12 + 48*B^4*a^4*b^10 + 32*B^4*a^6*b^8 + 95*A^2*B^2*a^2*b^12 + 448*A^2*B^2*a^4*b^10 - 8*A*B^3*a*b^13 + 4*A^3*B*a*b^13 - 120*A*B^3*a^3*b^11 + 64*A*B^3*a^5*b^9 - 8*A^3*B*a^3*b^11 - 320*A^3*B*a^5*b^9))/(a^2*d^4))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2) + (A^4*B*b^15 + 7*A^5*a*b^14 + A^2*B^3*b^15 + 63*A^5*a^3*b^12 + 56*A^5*a^5*b^10 - 16*B^5*a^2*b^13 - 48*B^5*a^4*b^11 - 32*B^5*a^6*b^9 - 23*A^2*B^3*a^2*b^13 + 40*A^2*B^3*a^4*b^11 + 64*A^2*B^3*a^6*b^9 + 55*A^3*B^2*a^3*b^12 + 112*A^3*B^2*a^5*b^10 + 64*A^3*B^2*a^7*b^8 - 8*A*B^4*a^3*b^12 + 56*A*B^4*a^5*b^10 + 64*A*B^4*a^7*b^8 + 7*A^3*B^2*a*b^14 - 7*A^4*B*a^2*b^13 + 88*A^4*B*a^4*b^11 + 96*A^4*B*a^6*b^9)/(a^2*d^5)))*((A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (B^2*a)/(4*d^2) - (A*B*b)/(2*d^2))^(1/2)*2i","B"
324,1,16796,279,8.464802,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}-\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}+\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}-\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}+\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}+\frac{32\,A^5\,a^8\,b^9+44\,A^5\,a^6\,b^{11}+12\,A^5\,a^4\,b^{13}-\frac{A^5\,a^2\,b^{15}}{4}-\frac{A^5\,b^{17}}{4}+64\,A^4\,B\,a^9\,b^8+56\,A^4\,B\,a^7\,b^{10}+4\,A^4\,B\,a^5\,b^{12}+\frac{51\,A^4\,B\,a^3\,b^{14}}{4}+\frac{3\,A^4\,B\,a\,b^{16}}{4}-64\,A^3\,B^2\,a^8\,b^9-40\,A^3\,B^2\,a^6\,b^{11}+20\,A^3\,B^2\,a^4\,b^{13}-\frac{17\,A^3\,B^2\,a^2\,b^{15}}{4}-\frac{A^3\,B^2\,b^{17}}{4}+64\,A^2\,B^3\,a^9\,b^8+112\,A^2\,B^3\,a^7\,b^{10}+67\,A^2\,B^3\,a^5\,b^{12}+\frac{79\,A^2\,B^3\,a^3\,b^{14}}{4}+\frac{3\,A^2\,B^3\,a\,b^{16}}{4}-96\,A\,B^4\,a^8\,b^9-84\,A\,B^4\,a^6\,b^{11}+8\,A\,B^4\,a^4\,b^{13}-4\,A\,B^4\,a^2\,b^{15}+56\,B^5\,a^7\,b^{10}+63\,B^5\,a^5\,b^{12}+7\,B^5\,a^3\,b^{14}}{a^4\,d^5}}\right)\,\sqrt{\frac{B^2\,a}{4\,d^2}-\frac{A^2\,a}{4\,d^2}-\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}+\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}-\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}+\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}-\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\left(\left(\left(\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{a^4\,d^5}+\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}-\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{4\,a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}+\frac{32\,A^5\,a^8\,b^9+44\,A^5\,a^6\,b^{11}+12\,A^5\,a^4\,b^{13}-\frac{A^5\,a^2\,b^{15}}{4}-\frac{A^5\,b^{17}}{4}+64\,A^4\,B\,a^9\,b^8+56\,A^4\,B\,a^7\,b^{10}+4\,A^4\,B\,a^5\,b^{12}+\frac{51\,A^4\,B\,a^3\,b^{14}}{4}+\frac{3\,A^4\,B\,a\,b^{16}}{4}-64\,A^3\,B^2\,a^8\,b^9-40\,A^3\,B^2\,a^6\,b^{11}+20\,A^3\,B^2\,a^4\,b^{13}-\frac{17\,A^3\,B^2\,a^2\,b^{15}}{4}-\frac{A^3\,B^2\,b^{17}}{4}+64\,A^2\,B^3\,a^9\,b^8+112\,A^2\,B^3\,a^7\,b^{10}+67\,A^2\,B^3\,a^5\,b^{12}+\frac{79\,A^2\,B^3\,a^3\,b^{14}}{4}+\frac{3\,A^2\,B^3\,a\,b^{16}}{4}-96\,A\,B^4\,a^8\,b^9-84\,A\,B^4\,a^6\,b^{11}+8\,A\,B^4\,a^4\,b^{13}-4\,A\,B^4\,a^2\,b^{15}+56\,B^5\,a^7\,b^{10}+63\,B^5\,a^5\,b^{12}+7\,B^5\,a^3\,b^{14}}{a^4\,d^5}}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4-4\,A^3\,B\,a\,b\,d^4-4\,A^2\,B^2\,a^2\,d^4+2\,A^2\,B^2\,b^2\,d^4+4\,A\,B^3\,a\,b\,d^4-B^4\,b^2\,d^4}}{4\,d^4}-\frac{A^2\,a}{4\,d^2}+\frac{B^2\,a}{4\,d^2}+\frac{A\,B\,b}{2\,d^2}}\,2{}\mathrm{i}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(A\,a^2\,b+\frac{B\,a\,b^2}{4}-\frac{A\,b^3}{8}\right)+\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}\,\left(8\,A\,a^2\,b-2\,B\,a\,b^2+A\,b^3\right)}{8\,a^2}-\frac{\left(6\,A\,a^2\,b+A\,b^3\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,a}}{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)}+\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{64\,a^4\,d^4}+\frac{\left(\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{16\,a^4\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^4\,d^4}+\frac{\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{16\,a^4\,d^5}-\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{1024\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}\,1{}\mathrm{i}}{a^5\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{64\,a^4\,d^4}-\frac{\left(\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{16\,a^4\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^4\,d^4}-\frac{\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{16\,a^4\,d^5}+\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{1024\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}\,1{}\mathrm{i}}{a^5\,d}}{\frac{32\,A^5\,a^8\,b^9+44\,A^5\,a^6\,b^{11}+12\,A^5\,a^4\,b^{13}-\frac{A^5\,a^2\,b^{15}}{4}-\frac{A^5\,b^{17}}{4}+64\,A^4\,B\,a^9\,b^8+56\,A^4\,B\,a^7\,b^{10}+4\,A^4\,B\,a^5\,b^{12}+\frac{51\,A^4\,B\,a^3\,b^{14}}{4}+\frac{3\,A^4\,B\,a\,b^{16}}{4}-64\,A^3\,B^2\,a^8\,b^9-40\,A^3\,B^2\,a^6\,b^{11}+20\,A^3\,B^2\,a^4\,b^{13}-\frac{17\,A^3\,B^2\,a^2\,b^{15}}{4}-\frac{A^3\,B^2\,b^{17}}{4}+64\,A^2\,B^3\,a^9\,b^8+112\,A^2\,B^3\,a^7\,b^{10}+67\,A^2\,B^3\,a^5\,b^{12}+\frac{79\,A^2\,B^3\,a^3\,b^{14}}{4}+\frac{3\,A^2\,B^3\,a\,b^{16}}{4}-96\,A\,B^4\,a^8\,b^9-84\,A\,B^4\,a^6\,b^{11}+8\,A\,B^4\,a^4\,b^{13}-4\,A\,B^4\,a^2\,b^{15}+56\,B^5\,a^7\,b^{10}+63\,B^5\,a^5\,b^{12}+7\,B^5\,a^3\,b^{14}}{a^4\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{64\,a^4\,d^4}+\frac{\left(\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{16\,a^4\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^4\,d^4}+\frac{\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{16\,a^4\,d^5}-\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{1024\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{a^5\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^8\,b^8+192\,A^4\,a^6\,b^{10}+208\,A^4\,a^4\,b^{12}-17\,A^4\,a^2\,b^{14}+A^4\,b^{16}-256\,A^3\,B\,a^7\,b^9+512\,A^3\,B\,a^5\,b^{11}-60\,A^3\,B\,a^3\,b^{13}+1792\,A^2\,B^2\,a^6\,b^{10}+236\,A^2\,B^2\,a^4\,b^{12}+5\,A^2\,B^2\,a^2\,b^{14}-A^2\,B^2\,b^{16}+1280\,A\,B^3\,a^7\,b^9+12\,A\,B^3\,a^3\,b^{13}+4\,A\,B^3\,a\,b^{15}+384\,B^4\,a^8\,b^8+64\,B^4\,a^6\,b^{10}+68\,B^4\,a^4\,b^{12}-4\,B^4\,a^2\,b^{14}\right)}{64\,a^4\,d^4}-\frac{\left(\frac{-160\,A^3\,a^7\,b^9\,d^2-144\,A^3\,a^5\,b^{11}\,d^2+16\,A^3\,a^3\,b^{13}\,d^2-288\,A^2\,B\,a^8\,b^8\,d^2-96\,A^2\,B\,a^6\,b^{10}\,d^2+168\,A^2\,B\,a^4\,b^{12}\,d^2-\frac{49\,A^2\,B\,a^2\,b^{14}\,d^2}{2}-\frac{A^2\,B\,b^{16}\,d^2}{2}+480\,A\,B^2\,a^7\,b^9\,d^2+528\,A\,B^2\,a^5\,b^{11}\,d^2+50\,A\,B^2\,a^3\,b^{13}\,d^2+2\,A\,B^2\,a\,b^{15}\,d^2+96\,B^3\,a^8\,b^8\,d^2+96\,B^3\,a^6\,b^{10}\,d^2-2\,B^3\,a^4\,b^{12}\,d^2-2\,B^3\,a^2\,b^{14}\,d^2}{16\,a^4\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2-512\,A^2\,a^5\,b^{10}\,d^2-64\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+4096\,A\,B\,a^6\,b^9\,d^2+2048\,A\,B\,a^4\,b^{11}\,d^2-16\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2+1024\,B^2\,a^5\,b^{10}\,d^2+16\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^4\,d^4}-\frac{\left(\frac{384\,B\,a^7\,b^8\,d^4+256\,A\,a^6\,b^9\,d^4+448\,B\,a^5\,b^{10}\,d^4+224\,A\,a^4\,b^{11}\,d^4+64\,B\,a^3\,b^{12}\,d^4-32\,A\,a^2\,b^{13}\,d^4}{16\,a^4\,d^5}+\frac{\left(3072\,a^6\,b^8\,d^4+2048\,a^4\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{1024\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{16\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}}{a^5\,d}}\right)\,\sqrt{64\,A^2\,a^9\,b^2-16\,A^2\,a^7\,b^4+A^2\,a^5\,b^6+256\,A\,B\,a^{10}\,b-4\,A\,B\,a^6\,b^5+256\,B^2\,a^{11}+64\,B^2\,a^9\,b^2+4\,B^2\,a^7\,b^4}\,1{}\mathrm{i}}{8\,a^5\,d}","Not used",1,"atan(((((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) - ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2)*1i - (((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) + ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2)*1i)/((((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) - ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + (((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) + ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2) + (12*A^5*a^4*b^13 - (A^3*B^2*b^17)/4 - (A^5*a^2*b^15)/4 - (A^5*b^17)/4 + 44*A^5*a^6*b^11 + 32*A^5*a^8*b^9 + 7*B^5*a^3*b^14 + 63*B^5*a^5*b^12 + 56*B^5*a^7*b^10 + (79*A^2*B^3*a^3*b^14)/4 + 67*A^2*B^3*a^5*b^12 + 112*A^2*B^3*a^7*b^10 + 64*A^2*B^3*a^9*b^8 - (17*A^3*B^2*a^2*b^15)/4 + 20*A^3*B^2*a^4*b^13 - 40*A^3*B^2*a^6*b^11 - 64*A^3*B^2*a^8*b^9 + (3*A^4*B*a*b^16)/4 - 4*A*B^4*a^2*b^15 + 8*A*B^4*a^4*b^13 - 84*A*B^4*a^6*b^11 - 96*A*B^4*a^8*b^9 + (3*A^2*B^3*a*b^16)/4 + (51*A^4*B*a^3*b^14)/4 + 4*A^4*B*a^5*b^12 + 56*A^4*B*a^7*b^10 + 64*A^4*B*a^9*b^8)/(a^4*d^5)))*((B^2*a)/(4*d^2) - (A^2*a)/(4*d^2) - (2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) + (A*B*b)/(2*d^2))^(1/2)*2i + atan(((((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) - ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2)*1i - (((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) + ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2)*1i)/((((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) - ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + (((((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(a^4*d^5) + ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) - (16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(a^4*d^5))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(4*a^4*d^4))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2) + (12*A^5*a^4*b^13 - (A^3*B^2*b^17)/4 - (A^5*a^2*b^15)/4 - (A^5*b^17)/4 + 44*A^5*a^6*b^11 + 32*A^5*a^8*b^9 + 7*B^5*a^3*b^14 + 63*B^5*a^5*b^12 + 56*B^5*a^7*b^10 + (79*A^2*B^3*a^3*b^14)/4 + 67*A^2*B^3*a^5*b^12 + 112*A^2*B^3*a^7*b^10 + 64*A^2*B^3*a^9*b^8 - (17*A^3*B^2*a^2*b^15)/4 + 20*A^3*B^2*a^4*b^13 - 40*A^3*B^2*a^6*b^11 - 64*A^3*B^2*a^8*b^9 + (3*A^4*B*a*b^16)/4 - 4*A*B^4*a^2*b^15 + 8*A*B^4*a^4*b^13 - 84*A*B^4*a^6*b^11 - 96*A*B^4*a^8*b^9 + (3*A^2*B^3*a*b^16)/4 + (51*A^4*B*a^3*b^14)/4 + 4*A^4*B*a^5*b^12 + 56*A^4*B*a^7*b^10 + 64*A^4*B*a^9*b^8)/(a^4*d^5)))*((2*A^2*B^2*b^2*d^4 - B^4*b^2*d^4 - 4*A^2*B^2*a^2*d^4 - A^4*b^2*d^4 + 4*A*B^3*a*b*d^4 - 4*A^3*B*a*b*d^4)^(1/2)/(4*d^4) - (A^2*a)/(4*d^2) + (B^2*a)/(4*d^2) + (A*B*b)/(2*d^2))^(1/2)*2i + ((a + b*tan(c + d*x))^(1/2)*(A*a^2*b - (A*b^3)/8 + (B*a*b^2)/4) + ((a + b*tan(c + d*x))^(5/2)*(A*b^3 + 8*A*a^2*b - 2*B*a*b^2))/(8*a^2) - ((A*b^3 + 6*A*a^2*b)*(a + b*tan(c + d*x))^(3/2))/(3*a))/(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))) + (atan(-(((((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(64*a^4*d^4) + (((16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(16*a^4*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(64*a^4*d^4) + (((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(16*a^4*d^5) - ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(1024*a^9*d^5))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2)*1i)/(a^5*d) + ((((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(64*a^4*d^4) - (((16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(16*a^4*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(64*a^4*d^4) - (((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(16*a^4*d^5) + ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(1024*a^9*d^5))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2)*1i)/(a^5*d))/((12*A^5*a^4*b^13 - (A^3*B^2*b^17)/4 - (A^5*a^2*b^15)/4 - (A^5*b^17)/4 + 44*A^5*a^6*b^11 + 32*A^5*a^8*b^9 + 7*B^5*a^3*b^14 + 63*B^5*a^5*b^12 + 56*B^5*a^7*b^10 + (79*A^2*B^3*a^3*b^14)/4 + 67*A^2*B^3*a^5*b^12 + 112*A^2*B^3*a^7*b^10 + 64*A^2*B^3*a^9*b^8 - (17*A^3*B^2*a^2*b^15)/4 + 20*A^3*B^2*a^4*b^13 - 40*A^3*B^2*a^6*b^11 - 64*A^3*B^2*a^8*b^9 + (3*A^4*B*a*b^16)/4 - 4*A*B^4*a^2*b^15 + 8*A*B^4*a^4*b^13 - 84*A*B^4*a^6*b^11 - 96*A*B^4*a^8*b^9 + (3*A^2*B^3*a*b^16)/4 + (51*A^4*B*a^3*b^14)/4 + 4*A^4*B*a^5*b^12 + 56*A^4*B*a^7*b^10 + 64*A^4*B*a^9*b^8)/(a^4*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(64*a^4*d^4) + (((16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(16*a^4*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(64*a^4*d^4) + (((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(16*a^4*d^5) - ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(1024*a^9*d^5))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(a^5*d) + ((((a + b*tan(c + d*x))^(1/2)*(A^4*b^16 - A^2*B^2*b^16 - 17*A^4*a^2*b^14 + 208*A^4*a^4*b^12 + 192*A^4*a^6*b^10 + 128*A^4*a^8*b^8 - 4*B^4*a^2*b^14 + 68*B^4*a^4*b^12 + 64*B^4*a^6*b^10 + 384*B^4*a^8*b^8 + 5*A^2*B^2*a^2*b^14 + 236*A^2*B^2*a^4*b^12 + 1792*A^2*B^2*a^6*b^10 + 4*A*B^3*a*b^15 + 12*A*B^3*a^3*b^13 + 1280*A*B^3*a^7*b^9 - 60*A^3*B*a^3*b^13 + 512*A^3*B*a^5*b^11 - 256*A^3*B*a^7*b^9))/(64*a^4*d^4) - (((16*A^3*a^3*b^13*d^2 - 144*A^3*a^5*b^11*d^2 - 160*A^3*a^7*b^9*d^2 - 2*B^3*a^2*b^14*d^2 - 2*B^3*a^4*b^12*d^2 + 96*B^3*a^6*b^10*d^2 + 96*B^3*a^8*b^8*d^2 - (A^2*B*b^16*d^2)/2 + 2*A*B^2*a*b^15*d^2 + 50*A*B^2*a^3*b^13*d^2 + 528*A*B^2*a^5*b^11*d^2 + 480*A*B^2*a^7*b^9*d^2 - (49*A^2*B*a^2*b^14*d^2)/2 + 168*A^2*B*a^4*b^12*d^2 - 96*A^2*B*a^6*b^10*d^2 - 288*A^2*B*a^8*b^8*d^2)/(16*a^4*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^3*b^12*d^2 - 512*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 64*A^2*a^3*b^12*d^2 + 1024*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 16*A*B*a^2*b^13*d^2 + 2048*A*B*a^4*b^11*d^2 + 4096*A*B*a^6*b^9*d^2))/(64*a^4*d^4) - (((224*A*a^4*b^11*d^4 - 32*A*a^2*b^13*d^4 + 256*A*a^6*b^9*d^4 + 64*B*a^3*b^12*d^4 + 448*B*a^5*b^10*d^4 + 384*B*a^7*b^8*d^4)/(16*a^4*d^5) + ((2048*a^4*b^10*d^4 + 3072*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(1024*a^9*d^5))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(16*a^5*d))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2))/(a^5*d)))*(256*B^2*a^11 + A^2*a^5*b^6 - 16*A^2*a^7*b^4 + 64*A^2*a^9*b^2 + 4*B^2*a^7*b^4 + 64*B^2*a^9*b^2 + 256*A*B*a^10*b - 4*A*B*a^6*b^5)^(1/2)*1i)/(8*a^5*d)","B"
325,1,2993,214,69.452424,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","\ln\left(\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b+a\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}}{4\,d^4}-\frac{A^2\,a^3}{4\,d^2}+\frac{3\,A^2\,a\,b^2}{4\,d^2}}-\ln\left(\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b-a\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{-\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b-a\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{4\,d^4}}-\left(\frac{2\,B\,\left(a^2+b^2\right)}{3\,b^2\,d}-\frac{2\,B\,a^2}{3\,b^2\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}+\ln\left(\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b+a\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{3\,A^2\,a\,b^2}{4\,d^2}-\frac{A^2\,a^3}{4\,d^2}-\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}}{4\,d^4}}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a\,\left(\frac{2\,B\,\left(a^2+b^2\right)}{b^2\,d}-\frac{2\,B\,a^2}{b^2\,d}\right)+\frac{2\,B\,a^3}{b^2\,d}-\frac{2\,B\,a\,\left(a^2+b^2\right)}{b^2\,d}\right)-\ln\left(\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2-d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}\right)\,\sqrt{\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2-d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}\right)\,\sqrt{-\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2+d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}+\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}}{4\,d^4}+\frac{B^2\,a^3}{4\,d^2}-\frac{3\,B^2\,a\,b^2}{4\,d^2}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2+d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}+\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{B^2\,a^3}{4\,d^2}-\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^2}{4\,d^2}}-\left(\frac{2\,A\,\left(a^2+b^2\right)}{b\,d}-\frac{2\,A\,a^2}{b\,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)}^{5/2}}{5\,b\,d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^2\,d}-\frac{2\,B\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b^2\,d}","Not used",1,"log((16*A^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b + a*d*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2)*((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3)/(4*d^2) + (3*A^2*a*b^2)/(4*d^2))^(1/2) - log((16*A^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b - a*d*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2)*(-((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/(4*d^4))^(1/2) - log((16*A^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b - a*d*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2)*(((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/(4*d^4))^(1/2) - ((2*B*(a^2 + b^2))/(3*b^2*d) - (2*B*a^2)/(3*b^2*d))*(a + b*tan(c + d*x))^(3/2) + log((16*A^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b + a*d*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2)*((3*A^2*a*b^2)/(4*d^2) - (A^2*a^3)/(4*d^2) - (6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2) - (a + b*tan(c + d*x))^(1/2)*(2*a*((2*B*(a^2 + b^2))/(b^2*d) - (2*B*a^2)/(b^2*d)) + (2*B*a^3)/(b^2*d) - (2*B*a*(a^2 + b^2))/(b^2*d)) - log((8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3 - ((((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 - d*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2)*(((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/(4*d^4))^(1/2) - log((8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3 - ((-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 - d*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2)*(-((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/(4*d^4))^(1/2) + log(((((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 + d*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 + (8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a^3)/(4*d^2) - (3*B^2*a*b^2)/(4*d^2))^(1/2) + log(((-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 + d*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 + (8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((B^2*a^3)/(4*d^2) - (6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^2)/(4*d^2))^(1/2) - ((2*A*(a^2 + b^2))/(b*d) - (2*A*a^2)/(b*d))*(a + b*tan(c + d*x))^(1/2) + (2*A*(a + b*tan(c + d*x))^(5/2))/(5*b*d) + (2*B*(a + b*tan(c + d*x))^(7/2))/(7*b^2*d) - (2*B*a*(a + b*tan(c + d*x))^(5/2))/(5*b^2*d)","B"
326,1,2868,175,29.597516,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","\ln\left(\frac{16\,B^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,b^3+B\,a^2\,b+a\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}}{4\,d^4}-\frac{B^2\,a^3}{4\,d^2}+\frac{3\,B^2\,a\,b^2}{4\,d^2}}-\ln\left(\frac{16\,B^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,b^3+B\,a^2\,b-a\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{-\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{16\,B^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,b^3+B\,a^2\,b-a\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{4\,d^4}}-\left(\frac{2\,B\,\left(a^2+b^2\right)}{b\,d}-\frac{2\,B\,a^2}{b\,d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+\ln\left(\frac{16\,B^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\left(\frac{16\,b^2\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,b^3+B\,a^2\,b+a\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^2}{4\,d^2}-\frac{B^2\,a^3}{4\,d^2}-\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}}{4\,d^4}}-\ln\left(-\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,a^2+A\,b^2+d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,A^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{4\,d^4}}-\ln\left(-\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,a^2+A\,b^2+d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,A^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{-\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,a^2+A\,b^2-d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,A^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}}{4\,d^4}+\frac{A^2\,a^3}{4\,d^2}-\frac{3\,A^2\,a\,b^2}{4\,d^2}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,a^2+A\,b^2-d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,A^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{A^2\,a^3}{4\,d^2}-\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^2}{4\,d^2}}+\frac{2\,A\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{2\,A\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,b\,d}","Not used",1,"log((16*B^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*b^3 + B*a^2*b + a*d*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d + (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2))/2)*((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3)/(4*d^2) + (3*B^2*a*b^2)/(4*d^2))^(1/2) - log((16*B^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*b^3 + B*a^2*b - a*d*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2))/2)*(-((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/(4*d^4))^(1/2) - log((16*B^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*b^3 + B*a^2*b - a*d*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2))/2)*(((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/(4*d^4))^(1/2) - ((2*B*(a^2 + b^2))/(b*d) - (2*B*a^2)/(b*d))*(a + b*tan(c + d*x))^(1/2) + log((16*B^3*a*b^3*(a^2 + b^2)^2)/d^3 - (((16*b^2*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*b^3 + B*a^2*b + a*d*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d + (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2))/2)*((3*B^2*a*b^2)/(4*d^2) - (B^2*a^3)/(4*d^2) - (6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2) - log(- ((((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*((16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*a^2 + A*b^2 + d*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*A^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*(((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/(4*d^4))^(1/2) - log(- ((-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*((16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*a^2 + A*b^2 + d*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*A^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*(-((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/(4*d^4))^(1/2) + log(((((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*((16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*a^2 + A*b^2 - d*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*A^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a^3)/(4*d^2) - (3*A^2*a*b^2)/(4*d^2))^(1/2) + log(((-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*((16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*a^2 + A*b^2 - d*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*A^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((A^2*a^3)/(4*d^2) - (6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^2)/(4*d^2))^(1/2) + (2*A*(a + b*tan(c + d*x))^(3/2))/(3*d) + (2*A*a*(a + b*tan(c + d*x))^(1/2))/d + (2*B*(a + b*tan(c + d*x))^(5/2))/(5*b*d)","B"
327,1,2823,150,17.716741,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","\ln\left(\frac{\left(\frac{16\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b-a\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}-\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}}{4\,d^4}-\frac{A^2\,a^3}{4\,d^2}+\frac{3\,A^2\,a\,b^2}{4\,d^2}}-\ln\left(\frac{\left(\frac{16\,b^2\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b+a\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}-\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}-A^2\,a^3\,d^2+3\,A^2\,a\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{\left(\frac{16\,b^2\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b+a\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}-\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{-\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{\left(\frac{16\,b^2\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\left(A\,b^3+A\,a^2\,b-a\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+A^2\,a^3\,d^2-3\,A^2\,a\,b^2\,d^2}{d^4}}}{2}-\frac{16\,A^3\,a\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{3\,A^2\,a\,b^2}{4\,d^2}-\frac{A^2\,a^3}{4\,d^2}-\frac{\sqrt{-9\,A^4\,a^4\,b^2\,d^4+6\,A^4\,a^2\,b^4\,d^4-A^4\,b^6\,d^4}}{4\,d^4}}-\ln\left(-\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2+d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{4\,d^4}}-\ln\left(-\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2+d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{-\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2-d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+B^2\,a^3\,d^2-3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}}{4\,d^4}+\frac{B^2\,a^3}{4\,d^2}-\frac{3\,B^2\,a\,b^2}{4\,d^2}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(\frac{16\,B^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\left(B\,a^2+B\,b^2-d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-B^2\,a^3\,d^2+3\,B^2\,a\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}-\frac{8\,B^3\,b^2\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{B^2\,a^3}{4\,d^2}-\frac{\sqrt{-9\,B^4\,a^4\,b^2\,d^4+6\,B^4\,a^2\,b^4\,d^4-B^4\,b^6\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^2}{4\,d^2}}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{2\,A\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,B\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}","Not used",1,"log((((16*b^2*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b - a*d*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2 - (16*A^3*a*b^3*(a^2 + b^2)^2)/d^3)*((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3)/(4*d^2) + (3*A^2*a*b^2)/(4*d^2))^(1/2) - log((((16*b^2*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b + a*d*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2 - (16*A^3*a*b^3*(a^2 + b^2)^2)/d^3)*(((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2) - A^2*a^3*d^2 + 3*A^2*a*b^2*d^2)/(4*d^4))^(1/2) - log((((16*b^2*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b + a*d*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2 - (16*A^3*a*b^3*(a^2 + b^2)^2)/d^3)*(-((6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/(4*d^4))^(1/2) + log((((16*b^2*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(A*b^3 + A*a^2*b - a*d*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2)*(-((-A^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + A^2*a^3*d^2 - 3*A^2*a*b^2*d^2)/d^4)^(1/2))/2 - (16*A^3*a*b^3*(a^2 + b^2)^2)/d^3)*((3*A^2*a*b^2)/(4*d^2) - (A^2*a^3)/(4*d^2) - (6*A^4*a^2*b^4*d^4 - A^4*b^6*d^4 - 9*A^4*a^4*b^2*d^4)^(1/2)/(4*d^4))^(1/2) - log(- ((((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 + d*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*(((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/(4*d^4))^(1/2) - log(- ((-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 + d*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*(-((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/(4*d^4))^(1/2) + log(((((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 - d*(((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + B^2*a^3*d^2 - 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a^3)/(4*d^2) - (3*B^2*a*b^2)/(4*d^2))^(1/2) + log(((-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*((16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(B*a^2 + B*b^2 - d*(-((-B^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - B^2*a^3*d^2 + 3*B^2*a*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 - (8*B^3*b^2*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((B^2*a^3)/(4*d^2) - (6*B^4*a^2*b^4*d^4 - B^4*b^6*d^4 - 9*B^4*a^4*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^2)/(4*d^2))^(1/2) + (2*B*(a + b*tan(c + d*x))^(3/2))/(3*d) + (2*A*b*(a + b*tan(c + d*x))^(1/2))/d + (2*B*a*(a + b*tan(c + d*x))^(1/2))/d","B"
328,1,20255,152,9.441288,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","\frac{2\,B\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{64\,\left(3\,A^5\,a^8\,b^{10}+7\,A^5\,a^6\,b^{12}+5\,A^5\,a^4\,b^{14}+A^5\,a^2\,b^{16}+2\,A^4\,B\,a^9\,b^9+4\,A^4\,B\,a^7\,b^{11}+2\,A^4\,B\,a^5\,b^{13}+A^3\,B^2\,a^{10}\,b^8+7\,A^3\,B^2\,a^8\,b^{10}+13\,A^3\,B^2\,a^6\,b^{12}+9\,A^3\,B^2\,a^4\,b^{14}+2\,A^3\,B^2\,a^2\,b^{16}+2\,A^2\,B^3\,a^9\,b^9+4\,A^2\,B^3\,a^7\,b^{11}+2\,A^2\,B^3\,a^5\,b^{13}+A\,B^4\,a^{10}\,b^8+4\,A\,B^4\,a^8\,b^{10}+6\,A\,B^4\,a^6\,b^{12}+4\,A\,B^4\,a^4\,b^{14}+A\,B^4\,a^2\,b^{16}\right)}{d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{64\,\left(3\,A^5\,a^8\,b^{10}+7\,A^5\,a^6\,b^{12}+5\,A^5\,a^4\,b^{14}+A^5\,a^2\,b^{16}+2\,A^4\,B\,a^9\,b^9+4\,A^4\,B\,a^7\,b^{11}+2\,A^4\,B\,a^5\,b^{13}+A^3\,B^2\,a^{10}\,b^8+7\,A^3\,B^2\,a^8\,b^{10}+13\,A^3\,B^2\,a^6\,b^{12}+9\,A^3\,B^2\,a^4\,b^{14}+2\,A^3\,B^2\,a^2\,b^{16}+2\,A^2\,B^3\,a^9\,b^9+4\,A^2\,B^3\,a^7\,b^{11}+2\,A^2\,B^3\,a^5\,b^{13}+A\,B^4\,a^{10}\,b^8+4\,A\,B^4\,a^8\,b^{10}+6\,A\,B^4\,a^6\,b^{12}+4\,A\,B^4\,a^4\,b^{14}+A\,B^4\,a^2\,b^{16}\right)}{d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\frac{A\,\mathrm{atan}\left(\frac{\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}+\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}+\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}-\frac{A\,\sqrt{a^3}\,\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}-\frac{32\,A\,\sqrt{a^3}\,\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^5}\right)}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}\,1{}\mathrm{i}}{d}+\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}-\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}-\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}+\frac{A\,\sqrt{a^3}\,\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}+\frac{32\,A\,\sqrt{a^3}\,\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^5}\right)}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}\,1{}\mathrm{i}}{d}}{\frac{64\,\left(3\,A^5\,a^8\,b^{10}+7\,A^5\,a^6\,b^{12}+5\,A^5\,a^4\,b^{14}+A^5\,a^2\,b^{16}+2\,A^4\,B\,a^9\,b^9+4\,A^4\,B\,a^7\,b^{11}+2\,A^4\,B\,a^5\,b^{13}+A^3\,B^2\,a^{10}\,b^8+7\,A^3\,B^2\,a^8\,b^{10}+13\,A^3\,B^2\,a^6\,b^{12}+9\,A^3\,B^2\,a^4\,b^{14}+2\,A^3\,B^2\,a^2\,b^{16}+2\,A^2\,B^3\,a^9\,b^9+4\,A^2\,B^3\,a^7\,b^{11}+2\,A^2\,B^3\,a^5\,b^{13}+A\,B^4\,a^{10}\,b^8+4\,A\,B^4\,a^8\,b^{10}+6\,A\,B^4\,a^6\,b^{12}+4\,A\,B^4\,a^4\,b^{14}+A\,B^4\,a^2\,b^{16}\right)}{d^5}-\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}+\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}+\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}-\frac{A\,\sqrt{a^3}\,\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}-\frac{32\,A\,\sqrt{a^3}\,\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^5}\right)}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}}{d}+\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^8\,b^8-8\,A^4\,a^6\,b^{10}+8\,A^4\,a^4\,b^{12}+4\,A^4\,a^2\,b^{14}+A^4\,b^{16}-16\,A^3\,B\,a^7\,b^9+16\,A^3\,B\,a^5\,b^{11}+20\,A^2\,B^2\,a^6\,b^{10}+10\,A^2\,B^2\,a^4\,b^{12}+8\,A^2\,B^2\,a^2\,b^{14}+2\,A^2\,B^2\,b^{16}+B^4\,a^8\,b^8+4\,B^4\,a^6\,b^{10}+6\,B^4\,a^4\,b^{12}+4\,B^4\,a^2\,b^{14}+B^4\,b^{16}\right)}{d^4}-\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^7\,b^8\,d^2-21\,A^3\,a^5\,b^{10}\,d^2-23\,A^3\,a^3\,b^{12}\,d^2+A^3\,a\,b^{14}\,d^2-42\,A^2\,B\,a^6\,b^9\,d^2-24\,A^2\,B\,a^4\,b^{11}\,d^2+18\,A^2\,B\,a^2\,b^{13}\,d^2-9\,A\,B^2\,a^7\,b^8\,d^2+15\,A\,B^2\,a^5\,b^{10}\,d^2+25\,A\,B^2\,a^3\,b^{12}\,d^2+A\,B^2\,a\,b^{14}\,d^2+2\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,b^{11}\,d^2+2\,B^3\,a^2\,b^{13}\,d^2\right)}{d^5}-\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^5\,b^8\,d^2+28\,A^2\,a^3\,b^{10}\,d^2+22\,A^2\,a\,b^{12}\,d^2+64\,A\,B\,a^4\,b^9\,d^2+16\,A\,B\,a^2\,b^{11}\,d^2-16\,A\,B\,b^{13}\,d^2+10\,B^2\,a^5\,b^8\,d^2-28\,B^2\,a^3\,b^{10}\,d^2-22\,B^2\,a\,b^{12}\,d^2\right)}{d^4}+\frac{A\,\sqrt{a^3}\,\left(\frac{32\,\left(12\,A\,a^4\,b^8\,d^4+4\,B\,a^3\,b^9\,d^4+12\,A\,a^2\,b^{10}\,d^4+4\,B\,a\,b^{11}\,d^4\right)}{d^5}+\frac{32\,A\,\sqrt{a^3}\,\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^5}\right)}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}}{d}\right)\,\sqrt{a^3}}{d}}\right)\,\sqrt{a^3}\,2{}\mathrm{i}}{d}","Not used",1,"(2*B*b*(a + b*tan(c + d*x))^(1/2))/d - atan(((((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (64*(A^5*a^2*b^16 + 5*A^5*a^4*b^14 + 7*A^5*a^6*b^12 + 3*A^5*a^8*b^10 + 2*A^2*B^3*a^5*b^13 + 4*A^2*B^3*a^7*b^11 + 2*A^2*B^3*a^9*b^9 + 2*A^3*B^2*a^2*b^16 + 9*A^3*B^2*a^4*b^14 + 13*A^3*B^2*a^6*b^12 + 7*A^3*B^2*a^8*b^10 + A^3*B^2*a^10*b^8 + A*B^4*a^2*b^16 + 4*A*B^4*a^4*b^14 + 6*A*B^4*a^6*b^12 + 4*A*B^4*a^8*b^10 + A*B^4*a^10*b^8 + 2*A^4*B*a^5*b^13 + 4*A^4*B*a^7*b^11 + 2*A^4*B*a^9*b^9))/d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i - atan(((((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (64*(A^5*a^2*b^16 + 5*A^5*a^4*b^14 + 7*A^5*a^6*b^12 + 3*A^5*a^8*b^10 + 2*A^2*B^3*a^5*b^13 + 4*A^2*B^3*a^7*b^11 + 2*A^2*B^3*a^9*b^9 + 2*A^3*B^2*a^2*b^16 + 9*A^3*B^2*a^4*b^14 + 13*A^3*B^2*a^6*b^12 + 7*A^3*B^2*a^8*b^10 + A^3*B^2*a^10*b^8 + A*B^4*a^2*b^16 + 4*A*B^4*a^4*b^14 + 6*A*B^4*a^6*b^12 + 4*A*B^4*a^8*b^10 + A*B^4*a^10*b^8 + 2*A^4*B*a^5*b^13 + 4*A^4*B*a^7*b^11 + 2*A^4*B*a^9*b^9))/d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i + (A*atan(((A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4 + (A*((32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5 + (A*((32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4 - (A*(a^3)^(1/2)*((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 - (32*A*(a^3)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2)*1i)/d + (A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4 - (A*((32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5 - (A*((32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4 + (A*(a^3)^(1/2)*((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 + (32*A*(a^3)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2)*1i)/d)/((64*(A^5*a^2*b^16 + 5*A^5*a^4*b^14 + 7*A^5*a^6*b^12 + 3*A^5*a^8*b^10 + 2*A^2*B^3*a^5*b^13 + 4*A^2*B^3*a^7*b^11 + 2*A^2*B^3*a^9*b^9 + 2*A^3*B^2*a^2*b^16 + 9*A^3*B^2*a^4*b^14 + 13*A^3*B^2*a^6*b^12 + 7*A^3*B^2*a^8*b^10 + A^3*B^2*a^10*b^8 + A*B^4*a^2*b^16 + 4*A*B^4*a^4*b^14 + 6*A*B^4*a^6*b^12 + 4*A*B^4*a^8*b^10 + A*B^4*a^10*b^8 + 2*A^4*B*a^5*b^13 + 4*A^4*B*a^7*b^11 + 2*A^4*B*a^9*b^9))/d^5 - (A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4 + (A*((32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5 + (A*((32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4 - (A*(a^3)^(1/2)*((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 - (32*A*(a^3)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2))/d + (A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^16 + B^4*b^16 + 2*A^2*B^2*b^16 + 4*A^4*a^2*b^14 + 8*A^4*a^4*b^12 - 8*A^4*a^6*b^10 + 3*A^4*a^8*b^8 + 4*B^4*a^2*b^14 + 6*B^4*a^4*b^12 + 4*B^4*a^6*b^10 + B^4*a^8*b^8 + 8*A^2*B^2*a^2*b^14 + 10*A^2*B^2*a^4*b^12 + 20*A^2*B^2*a^6*b^10 + 16*A^3*B*a^5*b^11 - 16*A^3*B*a^7*b^9))/d^4 - (A*((32*(3*A^3*a^7*b^8*d^2 - 21*A^3*a^5*b^10*d^2 - 23*A^3*a^3*b^12*d^2 + 2*B^3*a^2*b^13*d^2 + 4*B^3*a^4*b^11*d^2 + 2*B^3*a^6*b^9*d^2 + A^3*a*b^14*d^2 + A*B^2*a*b^14*d^2 + 25*A*B^2*a^3*b^12*d^2 + 15*A*B^2*a^5*b^10*d^2 - 9*A*B^2*a^7*b^8*d^2 + 18*A^2*B*a^2*b^13*d^2 - 24*A^2*B*a^4*b^11*d^2 - 42*A^2*B*a^6*b^9*d^2))/d^5 - (A*((32*(a + b*tan(c + d*x))^(1/2)*(28*A^2*a^3*b^10*d^2 - 18*A^2*a^5*b^8*d^2 - 28*B^2*a^3*b^10*d^2 + 10*B^2*a^5*b^8*d^2 - 16*A*B*b^13*d^2 + 22*A^2*a*b^12*d^2 - 22*B^2*a*b^12*d^2 + 16*A*B*a^2*b^11*d^2 + 64*A*B*a^4*b^9*d^2))/d^4 + (A*(a^3)^(1/2)*((32*(4*B*a*b^11*d^4 + 12*A*a^2*b^10*d^4 + 12*A*a^4*b^8*d^4 + 4*B*a^3*b^9*d^4))/d^5 + (32*A*(a^3)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2))/d)*(a^3)^(1/2))/d))*(a^3)^(1/2)*2i)/d","B"
329,1,21319,169,8.507434,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","\frac{A\,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{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\frac{16\,\left(6\,A^5\,a^9\,b^9+6\,A^5\,a^7\,b^{11}+6\,A^5\,a^3\,b^{15}+6\,A^5\,a\,b^{17}+4\,A^4\,B\,a^{10}\,b^8-17\,A^4\,B\,a^8\,b^{10}-33\,A^4\,B\,a^6\,b^{12}+A^4\,B\,a^4\,b^{14}+13\,A^4\,B\,a^2\,b^{16}-8\,A^3\,B^2\,a^9\,b^9+2\,A^3\,B^2\,a^7\,b^{11}+40\,A^3\,B^2\,a^5\,b^{13}+42\,A^3\,B^2\,a^3\,b^{15}+12\,A^3\,B^2\,a\,b^{17}+4\,A^2\,B^3\,a^{10}\,b^8-5\,A^2\,B^3\,a^8\,b^{10}-5\,A^2\,B^3\,a^6\,b^{12}+21\,A^2\,B^3\,a^4\,b^{14}+17\,A^2\,B^3\,a^2\,b^{16}-14\,A\,B^4\,a^9\,b^9-4\,A\,B^4\,a^7\,b^{11}+40\,A\,B^4\,a^5\,b^{13}+36\,A\,B^4\,a^3\,b^{15}+6\,A\,B^4\,a\,b^{17}+12\,B^5\,a^8\,b^{10}+28\,B^5\,a^6\,b^{12}+20\,B^5\,a^4\,b^{14}+4\,B^5\,a^2\,b^{16}\right)}{d^5}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\frac{16\,\left(6\,A^5\,a^9\,b^9+6\,A^5\,a^7\,b^{11}+6\,A^5\,a^3\,b^{15}+6\,A^5\,a\,b^{17}+4\,A^4\,B\,a^{10}\,b^8-17\,A^4\,B\,a^8\,b^{10}-33\,A^4\,B\,a^6\,b^{12}+A^4\,B\,a^4\,b^{14}+13\,A^4\,B\,a^2\,b^{16}-8\,A^3\,B^2\,a^9\,b^9+2\,A^3\,B^2\,a^7\,b^{11}+40\,A^3\,B^2\,a^5\,b^{13}+42\,A^3\,B^2\,a^3\,b^{15}+12\,A^3\,B^2\,a\,b^{17}+4\,A^2\,B^3\,a^{10}\,b^8-5\,A^2\,B^3\,a^8\,b^{10}-5\,A^2\,B^3\,a^6\,b^{12}+21\,A^2\,B^3\,a^4\,b^{14}+17\,A^2\,B^3\,a^2\,b^{16}-14\,A\,B^4\,a^9\,b^9-4\,A\,B^4\,a^7\,b^{11}+40\,A\,B^4\,a^5\,b^{13}+36\,A\,B^4\,a^3\,b^{15}+6\,A\,B^4\,a\,b^{17}+12\,B^5\,a^8\,b^{10}+28\,B^5\,a^6\,b^{12}+20\,B^5\,a^4\,b^{14}+4\,B^5\,a^2\,b^{16}\right)}{d^5}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\frac{\sqrt{a}\,\mathrm{atan}\left(\frac{\frac{\sqrt{a}\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}+\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}-\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}+\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,a\,b^{11}\,d^4\right)}{d^5}-\frac{8\,\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)}{2\,d}\right)}{2\,d}\right)\,\left(3\,A\,b+2\,B\,a\right)\,1{}\mathrm{i}}{2\,d}+\frac{\sqrt{a}\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}-\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}+\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}-\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,a\,b^{11}\,d^4\right)}{d^5}+\frac{8\,\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)}{2\,d}\right)}{2\,d}\right)\,\left(3\,A\,b+2\,B\,a\right)\,1{}\mathrm{i}}{2\,d}}{\frac{16\,\left(6\,A^5\,a^9\,b^9+6\,A^5\,a^7\,b^{11}+6\,A^5\,a^3\,b^{15}+6\,A^5\,a\,b^{17}+4\,A^4\,B\,a^{10}\,b^8-17\,A^4\,B\,a^8\,b^{10}-33\,A^4\,B\,a^6\,b^{12}+A^4\,B\,a^4\,b^{14}+13\,A^4\,B\,a^2\,b^{16}-8\,A^3\,B^2\,a^9\,b^9+2\,A^3\,B^2\,a^7\,b^{11}+40\,A^3\,B^2\,a^5\,b^{13}+42\,A^3\,B^2\,a^3\,b^{15}+12\,A^3\,B^2\,a\,b^{17}+4\,A^2\,B^3\,a^{10}\,b^8-5\,A^2\,B^3\,a^8\,b^{10}-5\,A^2\,B^3\,a^6\,b^{12}+21\,A^2\,B^3\,a^4\,b^{14}+17\,A^2\,B^3\,a^2\,b^{16}-14\,A\,B^4\,a^9\,b^9-4\,A\,B^4\,a^7\,b^{11}+40\,A\,B^4\,a^5\,b^{13}+36\,A\,B^4\,a^3\,b^{15}+6\,A\,B^4\,a\,b^{17}+12\,B^5\,a^8\,b^{10}+28\,B^5\,a^6\,b^{12}+20\,B^5\,a^4\,b^{14}+4\,B^5\,a^2\,b^{16}\right)}{d^5}-\frac{\sqrt{a}\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}+\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}-\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}+\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,a\,b^{11}\,d^4\right)}{d^5}-\frac{8\,\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)}{2\,d}\right)}{2\,d}\right)\,\left(3\,A\,b+2\,B\,a\right)}{2\,d}+\frac{\sqrt{a}\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^8\,b^8-A^4\,a^6\,b^{10}+66\,A^4\,a^4\,b^{12}-A^4\,a^2\,b^{14}+2\,A^4\,b^{16}-12\,A^3\,B\,a^7\,b^9+144\,A^3\,B\,a^5\,b^{11}-84\,A^3\,B\,a^3\,b^{13}+145\,A^2\,B^2\,a^6\,b^{10}-130\,A^2\,B^2\,a^4\,b^{12}+25\,A^2\,B^2\,a^2\,b^{14}+4\,A^2\,B^2\,b^{16}+44\,A\,B^3\,a^7\,b^9-104\,A\,B^3\,a^5\,b^{11}+12\,A\,B^3\,a^3\,b^{13}+6\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+16\,B^4\,a^4\,b^{12}+8\,B^4\,a^2\,b^{14}+2\,B^4\,b^{16}\right)}{d^4}-\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(-56\,A^3\,a^6\,b^9\,d^2+44\,A^3\,a^4\,b^{11}\,d^2+100\,A^3\,a^2\,b^{13}\,d^2-36\,A^2\,B\,a^7\,b^8\,d^2+264\,A^2\,B\,a^5\,b^{10}\,d^2+208\,A^2\,B\,a^3\,b^{12}\,d^2-92\,A^2\,B\,a\,b^{14}\,d^2+168\,A\,B^2\,a^6\,b^9\,d^2-48\,A\,B^2\,a^4\,b^{11}\,d^2-216\,A\,B^2\,a^2\,b^{13}\,d^2+12\,B^3\,a^7\,b^8\,d^2-84\,B^3\,a^5\,b^{10}\,d^2-92\,B^3\,a^3\,b^{12}\,d^2+4\,B^3\,a\,b^{14}\,d^2\right)}{d^5}+\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^5\,b^8\,d^2+92\,A^2\,a^3\,b^{10}\,d^2+44\,A^2\,a\,b^{12}\,d^2+176\,A\,B\,a^4\,b^9\,d^2+32\,A\,B\,a^2\,b^{11}\,d^2-32\,A\,B\,b^{13}\,d^2+36\,B^2\,a^5\,b^8\,d^2-56\,B^2\,a^3\,b^{10}\,d^2-44\,B^2\,a\,b^{12}\,d^2\right)}{d^4}-\frac{\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(\frac{8\,\left(48\,B\,a^4\,b^8\,d^4+80\,A\,a^3\,b^9\,d^4+48\,B\,a^2\,b^{10}\,d^4+80\,A\,a\,b^{11}\,d^4\right)}{d^5}+\frac{8\,\sqrt{a}\,\left(3\,A\,b+2\,B\,a\right)\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)}{2\,d}\right)}{2\,d}\right)\,\left(3\,A\,b+2\,B\,a\right)}{2\,d}}\right)\,\left(3\,A\,b+2\,B\,a\right)\,1{}\mathrm{i}}{d}","Not used",1,"(a^(1/2)*atan(((a^(1/2)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4 + (a^(1/2)*(3*A*b + 2*B*a)*((8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5 - (a^(1/2)*(3*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4 + (a^(1/2)*(3*A*b + 2*B*a)*((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*d^4))/d^5 - (8*a^(1/2)*(3*A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d)))/(2*d)))/(2*d))*(3*A*b + 2*B*a)*1i)/(2*d) + (a^(1/2)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4 - (a^(1/2)*(3*A*b + 2*B*a)*((8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5 + (a^(1/2)*(3*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4 - (a^(1/2)*(3*A*b + 2*B*a)*((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*d^4))/d^5 + (8*a^(1/2)*(3*A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d)))/(2*d)))/(2*d))*(3*A*b + 2*B*a)*1i)/(2*d))/((16*(6*A^5*a*b^17 + 6*A^5*a^3*b^15 + 6*A^5*a^7*b^11 + 6*A^5*a^9*b^9 + 4*B^5*a^2*b^16 + 20*B^5*a^4*b^14 + 28*B^5*a^6*b^12 + 12*B^5*a^8*b^10 + 17*A^2*B^3*a^2*b^16 + 21*A^2*B^3*a^4*b^14 - 5*A^2*B^3*a^6*b^12 - 5*A^2*B^3*a^8*b^10 + 4*A^2*B^3*a^10*b^8 + 42*A^3*B^2*a^3*b^15 + 40*A^3*B^2*a^5*b^13 + 2*A^3*B^2*a^7*b^11 - 8*A^3*B^2*a^9*b^9 + 6*A*B^4*a*b^17 + 36*A*B^4*a^3*b^15 + 40*A*B^4*a^5*b^13 - 4*A*B^4*a^7*b^11 - 14*A*B^4*a^9*b^9 + 12*A^3*B^2*a*b^17 + 13*A^4*B*a^2*b^16 + A^4*B*a^4*b^14 - 33*A^4*B*a^6*b^12 - 17*A^4*B*a^8*b^10 + 4*A^4*B*a^10*b^8))/d^5 - (a^(1/2)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4 + (a^(1/2)*(3*A*b + 2*B*a)*((8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5 - (a^(1/2)*(3*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4 + (a^(1/2)*(3*A*b + 2*B*a)*((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*d^4))/d^5 - (8*a^(1/2)*(3*A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d)))/(2*d)))/(2*d))*(3*A*b + 2*B*a))/(2*d) + (a^(1/2)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4 - (a^(1/2)*(3*A*b + 2*B*a)*((8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5 + (a^(1/2)*(3*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4 - (a^(1/2)*(3*A*b + 2*B*a)*((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*d^4))/d^5 + (8*a^(1/2)*(3*A*b + 2*B*a)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d)))/(2*d)))/(2*d))*(3*A*b + 2*B*a))/(2*d)))*(3*A*b + 2*B*a)*1i)/d - atan(((((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((16*(6*A^5*a*b^17 + 6*A^5*a^3*b^15 + 6*A^5*a^7*b^11 + 6*A^5*a^9*b^9 + 4*B^5*a^2*b^16 + 20*B^5*a^4*b^14 + 28*B^5*a^6*b^12 + 12*B^5*a^8*b^10 + 17*A^2*B^3*a^2*b^16 + 21*A^2*B^3*a^4*b^14 - 5*A^2*B^3*a^6*b^12 - 5*A^2*B^3*a^8*b^10 + 4*A^2*B^3*a^10*b^8 + 42*A^3*B^2*a^3*b^15 + 40*A^3*B^2*a^5*b^13 + 2*A^3*B^2*a^7*b^11 - 8*A^3*B^2*a^9*b^9 + 6*A*B^4*a*b^17 + 36*A*B^4*a^3*b^15 + 40*A*B^4*a^5*b^13 - 4*A*B^4*a^7*b^11 - 14*A*B^4*a^9*b^9 + 12*A^3*B^2*a*b^17 + 13*A^4*B*a^2*b^16 + A^4*B*a^4*b^14 - 33*A^4*B*a^6*b^12 - 17*A^4*B*a^8*b^10 + 4*A^4*B*a^10*b^8))/d^5 + (((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i - atan(((((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((16*(6*A^5*a*b^17 + 6*A^5*a^3*b^15 + 6*A^5*a^7*b^11 + 6*A^5*a^9*b^9 + 4*B^5*a^2*b^16 + 20*B^5*a^4*b^14 + 28*B^5*a^6*b^12 + 12*B^5*a^8*b^10 + 17*A^2*B^3*a^2*b^16 + 21*A^2*B^3*a^4*b^14 - 5*A^2*B^3*a^6*b^12 - 5*A^2*B^3*a^8*b^10 + 4*A^2*B^3*a^10*b^8 + 42*A^3*B^2*a^3*b^15 + 40*A^3*B^2*a^5*b^13 + 2*A^3*B^2*a^7*b^11 - 8*A^3*B^2*a^9*b^9 + 6*A*B^4*a*b^17 + 36*A*B^4*a^3*b^15 + 40*A*B^4*a^5*b^13 - 4*A*B^4*a^7*b^11 - 14*A*B^4*a^9*b^9 + 12*A^3*B^2*a*b^17 + 13*A^4*B*a^2*b^16 + A^4*B*a^4*b^14 - 33*A^4*B*a^6*b^12 - 17*A^4*B*a^8*b^10 + 4*A^4*B*a^10*b^8))/d^5 + (((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((((8*(80*A*a*b^11*d^4 + 80*A*a^3*b^9*d^4 + 48*B*a^2*b^10*d^4 + 48*B*a^4*b^8*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(92*A^2*a^3*b^10*d^2 - 20*A^2*a^5*b^8*d^2 - 56*B^2*a^3*b^10*d^2 + 36*B^2*a^5*b^8*d^2 - 32*A*B*b^13*d^2 + 44*A^2*a*b^12*d^2 - 44*B^2*a*b^12*d^2 + 32*A*B*a^2*b^11*d^2 + 176*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (8*(100*A^3*a^2*b^13*d^2 + 44*A^3*a^4*b^11*d^2 - 56*A^3*a^6*b^9*d^2 - 92*B^3*a^3*b^12*d^2 - 84*B^3*a^5*b^10*d^2 + 12*B^3*a^7*b^8*d^2 + 4*B^3*a*b^14*d^2 - 92*A^2*B*a*b^14*d^2 - 216*A*B^2*a^2*b^13*d^2 - 48*A*B^2*a^4*b^11*d^2 + 168*A*B^2*a^6*b^9*d^2 + 208*A^2*B*a^3*b^12*d^2 + 264*A^2*B*a^5*b^10*d^2 - 36*A^2*B*a^7*b^8*d^2))/d^5)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^16 + 2*B^4*b^16 + 4*A^2*B^2*b^16 - A^4*a^2*b^14 + 66*A^4*a^4*b^12 - A^4*a^6*b^10 + 2*A^4*a^8*b^8 + 8*B^4*a^2*b^14 + 16*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 6*B^4*a^8*b^8 + 25*A^2*B^2*a^2*b^14 - 130*A^2*B^2*a^4*b^12 + 145*A^2*B^2*a^6*b^10 + 12*A*B^3*a^3*b^13 - 104*A*B^3*a^5*b^11 + 44*A*B^3*a^7*b^9 - 84*A^3*B*a^3*b^13 + 144*A^3*B*a^5*b^11 - 12*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i + (A*a*b*(a + b*tan(c + d*x))^(1/2))/(a*d - d*(a + b*tan(c + d*x)))","B"
330,1,23016,219,8.648993,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","\mathrm{atan}\left(\frac{\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{-216\,A^5\,a^8\,b^{10}-391\,A^5\,a^6\,b^{12}-119\,A^5\,a^4\,b^{14}+71\,A^5\,a^2\,b^{16}+15\,A^5\,b^{18}-224\,A^4\,B\,a^9\,b^9+104\,A^4\,B\,a^7\,b^{11}+886\,A^4\,B\,a^5\,b^{13}+564\,A^4\,B\,a^3\,b^{15}+6\,A^4\,B\,a\,b^{17}-64\,A^3\,B^2\,a^{10}\,b^8+80\,A^3\,B^2\,a^8\,b^{10}+89\,A^3\,B^2\,a^6\,b^{12}-279\,A^3\,B^2\,a^4\,b^{14}-185\,A^3\,B^2\,a^2\,b^{16}+39\,A^3\,B^2\,b^{18}-128\,A^2\,B^3\,a^9\,b^9+200\,A^2\,B^3\,a^7\,b^{11}+886\,A^2\,B^3\,a^5\,b^{13}+660\,A^2\,B^3\,a^3\,b^{15}+102\,A^2\,B^3\,a\,b^{17}-64\,A\,B^4\,a^{10}\,b^8+296\,A\,B^4\,a^8\,b^{10}+480\,A\,B^4\,a^6\,b^{12}-160\,A\,B^4\,a^4\,b^{14}-256\,A\,B^4\,a^2\,b^{16}+24\,A\,B^4\,b^{18}+96\,B^5\,a^9\,b^9+96\,B^5\,a^7\,b^{11}+96\,B^5\,a^3\,b^{15}+96\,B^5\,a\,b^{17}}{d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\frac{-192\,A^3\,a^7\,b^8\,d^2+1344\,A^3\,a^5\,b^{10}\,d^2+932\,A^3\,a^3\,b^{12}\,d^2-604\,A^3\,a\,b^{14}\,d^2+2688\,A^2\,B\,a^6\,b^9\,d^2-1440\,A^2\,B\,a^4\,b^{11}\,d^2-3780\,A^2\,B\,a^2\,b^{13}\,d^2+348\,A^2\,B\,b^{15}\,d^2+576\,A\,B^2\,a^7\,b^8\,d^2-4416\,A\,B^2\,a^5\,b^{10}\,d^2-3232\,A\,B^2\,a^3\,b^{12}\,d^2+1760\,A\,B^2\,a\,b^{14}\,d^2-896\,B^3\,a^6\,b^9\,d^2+704\,B^3\,a^4\,b^{11}\,d^2+1600\,B^3\,a^2\,b^{13}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^4\,b^8\,d^4+1280\,B\,a^3\,b^9\,d^4-384\,A\,a^2\,b^{10}\,d^4+1280\,B\,a\,b^{11}\,d^4+384\,A\,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{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{-216\,A^5\,a^8\,b^{10}-391\,A^5\,a^6\,b^{12}-119\,A^5\,a^4\,b^{14}+71\,A^5\,a^2\,b^{16}+15\,A^5\,b^{18}-224\,A^4\,B\,a^9\,b^9+104\,A^4\,B\,a^7\,b^{11}+886\,A^4\,B\,a^5\,b^{13}+564\,A^4\,B\,a^3\,b^{15}+6\,A^4\,B\,a\,b^{17}-64\,A^3\,B^2\,a^{10}\,b^8+80\,A^3\,B^2\,a^8\,b^{10}+89\,A^3\,B^2\,a^6\,b^{12}-279\,A^3\,B^2\,a^4\,b^{14}-185\,A^3\,B^2\,a^2\,b^{16}+39\,A^3\,B^2\,b^{18}-128\,A^2\,B^3\,a^9\,b^9+200\,A^2\,B^3\,a^7\,b^{11}+886\,A^2\,B^3\,a^5\,b^{13}+660\,A^2\,B^3\,a^3\,b^{15}+102\,A^2\,B^3\,a\,b^{17}-64\,A\,B^4\,a^{10}\,b^8+296\,A\,B^4\,a^8\,b^{10}+480\,A\,B^4\,a^6\,b^{12}-160\,A\,B^4\,a^4\,b^{14}-256\,A\,B^4\,a^2\,b^{16}+24\,A\,B^4\,b^{18}+96\,B^5\,a^9\,b^9+96\,B^5\,a^7\,b^{11}+96\,B^5\,a^3\,b^{15}+96\,B^5\,a\,b^{17}}{d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\frac{\left(B\,a^2\,b+\frac{3\,A\,a\,b^2}{4}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\left(\frac{5\,A\,b^2}{4}+B\,a\,b\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{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{\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{8\,d^4}+\frac{\left(\frac{-96\,A^3\,a^7\,b^8\,d^2+672\,A^3\,a^5\,b^{10}\,d^2+466\,A^3\,a^3\,b^{12}\,d^2-302\,A^3\,a\,b^{14}\,d^2+1344\,A^2\,B\,a^6\,b^9\,d^2-720\,A^2\,B\,a^4\,b^{11}\,d^2-1890\,A^2\,B\,a^2\,b^{13}\,d^2+174\,A^2\,B\,b^{15}\,d^2+288\,A\,B^2\,a^7\,b^8\,d^2-2208\,A\,B^2\,a^5\,b^{10}\,d^2-1616\,A\,B^2\,a^3\,b^{12}\,d^2+880\,A\,B^2\,a\,b^{14}\,d^2-448\,B^3\,a^6\,b^9\,d^2+352\,B^3\,a^4\,b^{11}\,d^2+800\,B^3\,a^2\,b^{13}\,d^2}{8\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{8\,d^4}-\frac{\left(\frac{-384\,A\,a^4\,b^8\,d^4+640\,B\,a^3\,b^9\,d^4-192\,A\,a^2\,b^{10}\,d^4+640\,B\,a\,b^{11}\,d^4+192\,A\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{64\,a\,d^5}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}\,1{}\mathrm{i}}{a\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{8\,d^4}-\frac{\left(\frac{-96\,A^3\,a^7\,b^8\,d^2+672\,A^3\,a^5\,b^{10}\,d^2+466\,A^3\,a^3\,b^{12}\,d^2-302\,A^3\,a\,b^{14}\,d^2+1344\,A^2\,B\,a^6\,b^9\,d^2-720\,A^2\,B\,a^4\,b^{11}\,d^2-1890\,A^2\,B\,a^2\,b^{13}\,d^2+174\,A^2\,B\,b^{15}\,d^2+288\,A\,B^2\,a^7\,b^8\,d^2-2208\,A\,B^2\,a^5\,b^{10}\,d^2-1616\,A\,B^2\,a^3\,b^{12}\,d^2+880\,A\,B^2\,a\,b^{14}\,d^2-448\,B^3\,a^6\,b^9\,d^2+352\,B^3\,a^4\,b^{11}\,d^2+800\,B^3\,a^2\,b^{13}\,d^2}{8\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{8\,d^4}+\frac{\left(\frac{-384\,A\,a^4\,b^8\,d^4+640\,B\,a^3\,b^9\,d^4-192\,A\,a^2\,b^{10}\,d^4+640\,B\,a\,b^{11}\,d^4+192\,A\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{64\,a\,d^5}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}\,1{}\mathrm{i}}{a\,d}}{\frac{-216\,A^5\,a^8\,b^{10}-391\,A^5\,a^6\,b^{12}-119\,A^5\,a^4\,b^{14}+71\,A^5\,a^2\,b^{16}+15\,A^5\,b^{18}-224\,A^4\,B\,a^9\,b^9+104\,A^4\,B\,a^7\,b^{11}+886\,A^4\,B\,a^5\,b^{13}+564\,A^4\,B\,a^3\,b^{15}+6\,A^4\,B\,a\,b^{17}-64\,A^3\,B^2\,a^{10}\,b^8+80\,A^3\,B^2\,a^8\,b^{10}+89\,A^3\,B^2\,a^6\,b^{12}-279\,A^3\,B^2\,a^4\,b^{14}-185\,A^3\,B^2\,a^2\,b^{16}+39\,A^3\,B^2\,b^{18}-128\,A^2\,B^3\,a^9\,b^9+200\,A^2\,B^3\,a^7\,b^{11}+886\,A^2\,B^3\,a^5\,b^{13}+660\,A^2\,B^3\,a^3\,b^{15}+102\,A^2\,B^3\,a\,b^{17}-64\,A\,B^4\,a^{10}\,b^8+296\,A\,B^4\,a^8\,b^{10}+480\,A\,B^4\,a^6\,b^{12}-160\,A\,B^4\,a^4\,b^{14}-256\,A\,B^4\,a^2\,b^{16}+24\,A\,B^4\,b^{18}+96\,B^5\,a^9\,b^9+96\,B^5\,a^7\,b^{11}+96\,B^5\,a^3\,b^{15}+96\,B^5\,a\,b^{17}}{d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{8\,d^4}+\frac{\left(\frac{-96\,A^3\,a^7\,b^8\,d^2+672\,A^3\,a^5\,b^{10}\,d^2+466\,A^3\,a^3\,b^{12}\,d^2-302\,A^3\,a\,b^{14}\,d^2+1344\,A^2\,B\,a^6\,b^9\,d^2-720\,A^2\,B\,a^4\,b^{11}\,d^2-1890\,A^2\,B\,a^2\,b^{13}\,d^2+174\,A^2\,B\,b^{15}\,d^2+288\,A\,B^2\,a^7\,b^8\,d^2-2208\,A\,B^2\,a^5\,b^{10}\,d^2-1616\,A\,B^2\,a^3\,b^{12}\,d^2+880\,A\,B^2\,a\,b^{14}\,d^2-448\,B^3\,a^6\,b^9\,d^2+352\,B^3\,a^4\,b^{11}\,d^2+800\,B^3\,a^2\,b^{13}\,d^2}{8\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{8\,d^4}-\frac{\left(\frac{-384\,A\,a^4\,b^8\,d^4+640\,B\,a^3\,b^9\,d^4-192\,A\,a^2\,b^{10}\,d^4+640\,B\,a\,b^{11}\,d^4+192\,A\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{64\,a\,d^5}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{a\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^8\,b^8-304\,A^4\,a^6\,b^{10}+553\,A^4\,a^4\,b^{12}+26\,A^4\,a^2\,b^{14}+41\,A^4\,b^{16}-704\,A^3\,B\,a^7\,b^9+2120\,A^3\,B\,a^5\,b^{11}-1080\,A^3\,B\,a^3\,b^{13}+144\,A^3\,B\,a\,b^{15}+2368\,A^2\,B^2\,a^6\,b^{10}-2953\,A^2\,B^2\,a^4\,b^{12}+1078\,A^2\,B^2\,a^2\,b^{14}+55\,A^2\,B^2\,b^{16}+192\,A\,B^3\,a^7\,b^9-2376\,A\,B^3\,a^5\,b^{11}+1776\,A\,B^3\,a^3\,b^{13}-72\,A\,B^3\,a\,b^{15}+32\,B^4\,a^8\,b^8-16\,B^4\,a^6\,b^{10}+1056\,B^4\,a^4\,b^{12}-16\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{8\,d^4}-\frac{\left(\frac{-96\,A^3\,a^7\,b^8\,d^2+672\,A^3\,a^5\,b^{10}\,d^2+466\,A^3\,a^3\,b^{12}\,d^2-302\,A^3\,a\,b^{14}\,d^2+1344\,A^2\,B\,a^6\,b^9\,d^2-720\,A^2\,B\,a^4\,b^{11}\,d^2-1890\,A^2\,B\,a^2\,b^{13}\,d^2+174\,A^2\,B\,b^{15}\,d^2+288\,A\,B^2\,a^7\,b^8\,d^2-2208\,A\,B^2\,a^5\,b^{10}\,d^2-1616\,A\,B^2\,a^3\,b^{12}\,d^2+880\,A\,B^2\,a\,b^{14}\,d^2-448\,B^3\,a^6\,b^9\,d^2+352\,B^3\,a^4\,b^{11}\,d^2+800\,B^3\,a^2\,b^{13}\,d^2}{8\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-576\,A^2\,a^5\,b^8\,d^2+1088\,A^2\,a^3\,b^{10}\,d^2+668\,A^2\,a\,b^{12}\,d^2+2816\,A\,B\,a^4\,b^9\,d^2+224\,A\,B\,a^2\,b^{11}\,d^2-512\,A\,B\,b^{13}\,d^2+320\,B^2\,a^5\,b^8\,d^2-1472\,B^2\,a^3\,b^{10}\,d^2-704\,B^2\,a\,b^{12}\,d^2\right)}{8\,d^4}+\frac{\left(\frac{-384\,A\,a^4\,b^8\,d^4+640\,B\,a^3\,b^9\,d^4-192\,A\,a^2\,b^{10}\,d^4+640\,B\,a\,b^{11}\,d^4+192\,A\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{64\,a\,d^5}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{8\,a\,d}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}}{a\,d}}\right)\,\sqrt{64\,A^2\,a^5-48\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4-192\,A\,B\,a^4\,b+72\,A\,B\,a^2\,b^3+144\,B^2\,a^3\,b^2}\,1{}\mathrm{i}}{4\,a\,d}","Not used",1,"atan(((((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (15*A^5*b^18 + 24*A*B^4*b^18 + 96*B^5*a*b^17 + 39*A^3*B^2*b^18 + 71*A^5*a^2*b^16 - 119*A^5*a^4*b^14 - 391*A^5*a^6*b^12 - 216*A^5*a^8*b^10 + 96*B^5*a^3*b^15 + 96*B^5*a^7*b^11 + 96*B^5*a^9*b^9 + 660*A^2*B^3*a^3*b^15 + 886*A^2*B^3*a^5*b^13 + 200*A^2*B^3*a^7*b^11 - 128*A^2*B^3*a^9*b^9 - 185*A^3*B^2*a^2*b^16 - 279*A^3*B^2*a^4*b^14 + 89*A^3*B^2*a^6*b^12 + 80*A^3*B^2*a^8*b^10 - 64*A^3*B^2*a^10*b^8 + 6*A^4*B*a*b^17 - 256*A*B^4*a^2*b^16 - 160*A*B^4*a^4*b^14 + 480*A*B^4*a^6*b^12 + 296*A*B^4*a^8*b^10 - 64*A*B^4*a^10*b^8 + 102*A^2*B^3*a*b^17 + 564*A^4*B*a^3*b^15 + 886*A^4*B*a^5*b^13 + 104*A^4*B*a^7*b^11 - 224*A^4*B*a^9*b^9)/d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i + atan(((((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((932*A^3*a^3*b^12*d^2 + 1344*A^3*a^5*b^10*d^2 - 192*A^3*a^7*b^8*d^2 + 1600*B^3*a^2*b^13*d^2 + 704*B^3*a^4*b^11*d^2 - 896*B^3*a^6*b^9*d^2 + 348*A^2*B*b^15*d^2 - 604*A^3*a*b^14*d^2 + 1760*A*B^2*a*b^14*d^2 - 3232*A*B^2*a^3*b^12*d^2 - 4416*A*B^2*a^5*b^10*d^2 + 576*A*B^2*a^7*b^8*d^2 - 3780*A^2*B*a^2*b^13*d^2 - 1440*A^2*B*a^4*b^11*d^2 + 2688*A^2*B*a^6*b^9*d^2)/(2*d^5) - (((384*A*b^12*d^4 + 1280*B*a*b^11*d^4 - 384*A*a^2*b^10*d^4 - 768*A*a^4*b^8*d^4 + 1280*B*a^3*b^9*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)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/d^4)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - (15*A^5*b^18 + 24*A*B^4*b^18 + 96*B^5*a*b^17 + 39*A^3*B^2*b^18 + 71*A^5*a^2*b^16 - 119*A^5*a^4*b^14 - 391*A^5*a^6*b^12 - 216*A^5*a^8*b^10 + 96*B^5*a^3*b^15 + 96*B^5*a^7*b^11 + 96*B^5*a^9*b^9 + 660*A^2*B^3*a^3*b^15 + 886*A^2*B^3*a^5*b^13 + 200*A^2*B^3*a^7*b^11 - 128*A^2*B^3*a^9*b^9 - 185*A^3*B^2*a^2*b^16 - 279*A^3*B^2*a^4*b^14 + 89*A^3*B^2*a^6*b^12 + 80*A^3*B^2*a^8*b^10 - 64*A^3*B^2*a^10*b^8 + 6*A^4*B*a*b^17 - 256*A*B^4*a^2*b^16 - 160*A*B^4*a^4*b^14 + 480*A*B^4*a^6*b^12 + 296*A*B^4*a^8*b^10 - 64*A*B^4*a^10*b^8 + 102*A^2*B^3*a*b^17 + 564*A^4*B*a^3*b^15 + 886*A^4*B*a^5*b^13 + 104*A^4*B*a^7*b^11 - 224*A^4*B*a^9*b^9)/d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i + (((3*A*a*b^2)/4 + B*a^2*b)*(a + b*tan(c + d*x))^(1/2) - ((5*A*b^2)/4 + B*a*b)*(a + b*tan(c + d*x))^(3/2))/(d*(a + b*tan(c + d*x))^2 + a^2*d - 2*a*d*(a + b*tan(c + d*x))) + (atan((((((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/(8*d^4) + (((466*A^3*a^3*b^12*d^2 + 672*A^3*a^5*b^10*d^2 - 96*A^3*a^7*b^8*d^2 + 800*B^3*a^2*b^13*d^2 + 352*B^3*a^4*b^11*d^2 - 448*B^3*a^6*b^9*d^2 + 174*A^2*B*b^15*d^2 - 302*A^3*a*b^14*d^2 + 880*A*B^2*a*b^14*d^2 - 1616*A*B^2*a^3*b^12*d^2 - 2208*A*B^2*a^5*b^10*d^2 + 288*A*B^2*a^7*b^8*d^2 - 1890*A^2*B*a^2*b^13*d^2 - 720*A^2*B*a^4*b^11*d^2 + 1344*A^2*B*a^6*b^9*d^2)/(8*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/(8*d^4) - (((192*A*b^12*d^4 + 640*B*a*b^11*d^4 - 192*A*a^2*b^10*d^4 - 384*A*a^4*b^8*d^4 + 640*B*a^3*b^9*d^4)/(8*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(64*a*d^5))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2)*1i)/(a*d) + ((((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/(8*d^4) - (((466*A^3*a^3*b^12*d^2 + 672*A^3*a^5*b^10*d^2 - 96*A^3*a^7*b^8*d^2 + 800*B^3*a^2*b^13*d^2 + 352*B^3*a^4*b^11*d^2 - 448*B^3*a^6*b^9*d^2 + 174*A^2*B*b^15*d^2 - 302*A^3*a*b^14*d^2 + 880*A*B^2*a*b^14*d^2 - 1616*A*B^2*a^3*b^12*d^2 - 2208*A*B^2*a^5*b^10*d^2 + 288*A*B^2*a^7*b^8*d^2 - 1890*A^2*B*a^2*b^13*d^2 - 720*A^2*B*a^4*b^11*d^2 + 1344*A^2*B*a^6*b^9*d^2)/(8*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/(8*d^4) + (((192*A*b^12*d^4 + 640*B*a*b^11*d^4 - 192*A*a^2*b^10*d^4 - 384*A*a^4*b^8*d^4 + 640*B*a^3*b^9*d^4)/(8*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(64*a*d^5))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2)*1i)/(a*d))/((15*A^5*b^18 + 24*A*B^4*b^18 + 96*B^5*a*b^17 + 39*A^3*B^2*b^18 + 71*A^5*a^2*b^16 - 119*A^5*a^4*b^14 - 391*A^5*a^6*b^12 - 216*A^5*a^8*b^10 + 96*B^5*a^3*b^15 + 96*B^5*a^7*b^11 + 96*B^5*a^9*b^9 + 660*A^2*B^3*a^3*b^15 + 886*A^2*B^3*a^5*b^13 + 200*A^2*B^3*a^7*b^11 - 128*A^2*B^3*a^9*b^9 - 185*A^3*B^2*a^2*b^16 - 279*A^3*B^2*a^4*b^14 + 89*A^3*B^2*a^6*b^12 + 80*A^3*B^2*a^8*b^10 - 64*A^3*B^2*a^10*b^8 + 6*A^4*B*a*b^17 - 256*A*B^4*a^2*b^16 - 160*A*B^4*a^4*b^14 + 480*A*B^4*a^6*b^12 + 296*A*B^4*a^8*b^10 - 64*A*B^4*a^10*b^8 + 102*A^2*B^3*a*b^17 + 564*A^4*B*a^3*b^15 + 886*A^4*B*a^5*b^13 + 104*A^4*B*a^7*b^11 - 224*A^4*B*a^9*b^9)/d^5 - ((((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/(8*d^4) + (((466*A^3*a^3*b^12*d^2 + 672*A^3*a^5*b^10*d^2 - 96*A^3*a^7*b^8*d^2 + 800*B^3*a^2*b^13*d^2 + 352*B^3*a^4*b^11*d^2 - 448*B^3*a^6*b^9*d^2 + 174*A^2*B*b^15*d^2 - 302*A^3*a*b^14*d^2 + 880*A*B^2*a*b^14*d^2 - 1616*A*B^2*a^3*b^12*d^2 - 2208*A*B^2*a^5*b^10*d^2 + 288*A*B^2*a^7*b^8*d^2 - 1890*A^2*B*a^2*b^13*d^2 - 720*A^2*B*a^4*b^11*d^2 + 1344*A^2*B*a^6*b^9*d^2)/(8*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/(8*d^4) - (((192*A*b^12*d^4 + 640*B*a*b^11*d^4 - 192*A*a^2*b^10*d^4 - 384*A*a^4*b^8*d^4 + 640*B*a^3*b^9*d^4)/(8*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(64*a*d^5))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(a*d) + ((((a + b*tan(c + d*x))^(1/2)*(41*A^4*b^16 + 32*B^4*b^16 + 55*A^2*B^2*b^16 + 26*A^4*a^2*b^14 + 553*A^4*a^4*b^12 - 304*A^4*a^6*b^10 + 96*A^4*a^8*b^8 - 16*B^4*a^2*b^14 + 1056*B^4*a^4*b^12 - 16*B^4*a^6*b^10 + 32*B^4*a^8*b^8 + 1078*A^2*B^2*a^2*b^14 - 2953*A^2*B^2*a^4*b^12 + 2368*A^2*B^2*a^6*b^10 - 72*A*B^3*a*b^15 + 144*A^3*B*a*b^15 + 1776*A*B^3*a^3*b^13 - 2376*A*B^3*a^5*b^11 + 192*A*B^3*a^7*b^9 - 1080*A^3*B*a^3*b^13 + 2120*A^3*B*a^5*b^11 - 704*A^3*B*a^7*b^9))/(8*d^4) - (((466*A^3*a^3*b^12*d^2 + 672*A^3*a^5*b^10*d^2 - 96*A^3*a^7*b^8*d^2 + 800*B^3*a^2*b^13*d^2 + 352*B^3*a^4*b^11*d^2 - 448*B^3*a^6*b^9*d^2 + 174*A^2*B*b^15*d^2 - 302*A^3*a*b^14*d^2 + 880*A*B^2*a*b^14*d^2 - 1616*A*B^2*a^3*b^12*d^2 - 2208*A*B^2*a^5*b^10*d^2 + 288*A*B^2*a^7*b^8*d^2 - 1890*A^2*B*a^2*b^13*d^2 - 720*A^2*B*a^4*b^11*d^2 + 1344*A^2*B*a^6*b^9*d^2)/(8*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(1088*A^2*a^3*b^10*d^2 - 576*A^2*a^5*b^8*d^2 - 1472*B^2*a^3*b^10*d^2 + 320*B^2*a^5*b^8*d^2 - 512*A*B*b^13*d^2 + 668*A^2*a*b^12*d^2 - 704*B^2*a*b^12*d^2 + 224*A*B*a^2*b^11*d^2 + 2816*A*B*a^4*b^9*d^2))/(8*d^4) + (((192*A*b^12*d^4 + 640*B*a*b^11*d^4 - 192*A*a^2*b^10*d^4 - 384*A*a^4*b^8*d^4 + 640*B*a^3*b^9*d^4)/(8*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(64*a*d^5))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(8*a*d))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2))/(a*d)))*(64*A^2*a^5 + 9*A^2*a*b^4 - 48*A^2*a^3*b^2 + 144*B^2*a^3*b^2 - 192*A*B*a^4*b + 72*A*B*a^2*b^3)^(1/2)*1i)/(4*a*d)","B"
331,1,25789,278,9.050529,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","-\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}\,\left(2\,A\,a^2\,b-2\,B\,a\,b^2+\frac{A\,b^3}{3}\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(A\,a^3\,b-\frac{3\,B\,a^2\,b^2}{4}+\frac{A\,a\,b^3}{8}\right)+\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}\,\left(-8\,A\,a^2\,b+10\,B\,a\,b^2+A\,b^3\right)}{8\,a}}{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)}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}-\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}+\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}-\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}+\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{384\,A^5\,a^{11}\,b^9+400\,A^5\,a^9\,b^{11}-32\,A^5\,a^7\,b^{13}+286\,A^5\,a^5\,b^{15}+348\,A^5\,a^3\,b^{17}+14\,A^5\,a\,b^{19}+256\,A^4\,B\,a^{12}\,b^8-1184\,A^4\,B\,a^{10}\,b^{10}-2032\,A^4\,B\,a^8\,b^{12}+487\,A^4\,B\,a^6\,b^{14}+1055\,A^4\,B\,a^4\,b^{16}-23\,A^4\,B\,a^2\,b^{18}+A^4\,B\,b^{20}-512\,A^3\,B^2\,a^{11}\,b^9+800\,A^3\,B^2\,a^9\,b^{11}+3556\,A^3\,B^2\,a^7\,b^{13}+2682\,A^3\,B^2\,a^5\,b^{15}+456\,A^3\,B^2\,a^3\,b^{17}+18\,A^3\,B^2\,a\,b^{19}+256\,A^2\,B^3\,a^{12}\,b^8-320\,A^2\,B^3\,a^{10}\,b^{10}-468\,A^2\,B^3\,a^8\,b^{12}+963\,A^2\,B^3\,a^6\,b^{14}+771\,A^2\,B^3\,a^4\,b^{16}-83\,A^2\,B^3\,a^2\,b^{18}+A^2\,B^3\,b^{20}-896\,A\,B^4\,a^{11}\,b^9+400\,A\,B^4\,a^9\,b^{11}+3588\,A\,B^4\,a^7\,b^{13}+2396\,A\,B^4\,a^5\,b^{15}+108\,A\,B^4\,a^3\,b^{17}+4\,A\,B^4\,a\,b^{19}+864\,B^5\,a^{10}\,b^{10}+1564\,B^5\,a^8\,b^{12}+476\,B^5\,a^6\,b^{14}-284\,B^5\,a^4\,b^{16}-60\,B^5\,a^2\,b^{18}}{4\,a^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}+A^2\,a^3\,d^2-B^2\,a^3\,d^2+2\,A\,B\,b^3\,d^2-3\,A^2\,a\,b^2\,d^2+3\,B^2\,a\,b^2\,d^2-6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}-\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}+\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}-\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{3072\,B\,a^6\,b^8\,d^4+5120\,A\,a^5\,b^9\,d^4+1536\,B\,a^4\,b^{10}\,d^4+5376\,A\,a^3\,b^{11}\,d^4-1536\,B\,a^2\,b^{12}\,d^4+256\,A\,a\,b^{13}\,d^4}{8\,a^2\,d^5}+\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{3584\,A^3\,a^8\,b^9\,d^2-2688\,A^3\,a^6\,b^{11}\,d^2-6464\,A^3\,a^4\,b^{13}\,d^2-188\,A^3\,a^2\,b^{15}\,d^2+4\,A^3\,b^{17}\,d^2+2304\,A^2\,B\,a^9\,b^8\,d^2-17664\,A^2\,B\,a^7\,b^{10}\,d^2-13376\,A^2\,B\,a^5\,b^{12}\,d^2+6804\,A^2\,B\,a^3\,b^{14}\,d^2+212\,A^2\,B\,a\,b^{16}\,d^2-10752\,A\,B^2\,a^8\,b^9\,d^2+5760\,A\,B^2\,a^6\,b^{11}\,d^2+15456\,A\,B^2\,a^4\,b^{13}\,d^2-1056\,A\,B^2\,a^2\,b^{15}\,d^2-768\,B^3\,a^9\,b^8\,d^2+5376\,B^3\,a^7\,b^{10}\,d^2+3728\,B^3\,a^5\,b^{12}\,d^2-2416\,B^3\,a^3\,b^{14}\,d^2}{8\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{4\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}+\frac{384\,A^5\,a^{11}\,b^9+400\,A^5\,a^9\,b^{11}-32\,A^5\,a^7\,b^{13}+286\,A^5\,a^5\,b^{15}+348\,A^5\,a^3\,b^{17}+14\,A^5\,a\,b^{19}+256\,A^4\,B\,a^{12}\,b^8-1184\,A^4\,B\,a^{10}\,b^{10}-2032\,A^4\,B\,a^8\,b^{12}+487\,A^4\,B\,a^6\,b^{14}+1055\,A^4\,B\,a^4\,b^{16}-23\,A^4\,B\,a^2\,b^{18}+A^4\,B\,b^{20}-512\,A^3\,B^2\,a^{11}\,b^9+800\,A^3\,B^2\,a^9\,b^{11}+3556\,A^3\,B^2\,a^7\,b^{13}+2682\,A^3\,B^2\,a^5\,b^{15}+456\,A^3\,B^2\,a^3\,b^{17}+18\,A^3\,B^2\,a\,b^{19}+256\,A^2\,B^3\,a^{12}\,b^8-320\,A^2\,B^3\,a^{10}\,b^{10}-468\,A^2\,B^3\,a^8\,b^{12}+963\,A^2\,B^3\,a^6\,b^{14}+771\,A^2\,B^3\,a^4\,b^{16}-83\,A^2\,B^3\,a^2\,b^{18}+A^2\,B^3\,b^{20}-896\,A\,B^4\,a^{11}\,b^9+400\,A\,B^4\,a^9\,b^{11}+3588\,A\,B^4\,a^7\,b^{13}+2396\,A\,B^4\,a^5\,b^{15}+108\,A\,B^4\,a^3\,b^{17}+4\,A\,B^4\,a\,b^{19}+864\,B^5\,a^{10}\,b^{10}+1564\,B^5\,a^8\,b^{12}+476\,B^5\,a^6\,b^{14}-284\,B^5\,a^4\,b^{16}-60\,B^5\,a^2\,b^{18}}{4\,a^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2-48\,A\,B\,a^2\,b\,d^2+16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^6+3\,A^4\,a^4\,b^2+3\,A^4\,a^2\,b^4+A^4\,b^6+2\,A^2\,B^2\,a^6+6\,A^2\,B^2\,a^4\,b^2+6\,A^2\,B^2\,a^2\,b^4+2\,A^2\,B^2\,b^6+B^4\,a^6+3\,B^4\,a^4\,b^2+3\,B^4\,a^2\,b^4+B^4\,b^6\right)}-A^2\,a^3\,d^2+B^2\,a^3\,d^2-2\,A\,B\,b^3\,d^2+3\,A^2\,a\,b^2\,d^2-3\,B^2\,a\,b^2\,d^2+6\,A\,B\,a^2\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{448\,A^3\,a^8\,b^9\,d^2-336\,A^3\,a^6\,b^{11}\,d^2-808\,A^3\,a^4\,b^{13}\,d^2-\frac{47\,A^3\,a^2\,b^{15}\,d^2}{2}+\frac{A^3\,b^{17}\,d^2}{2}+288\,A^2\,B\,a^9\,b^8\,d^2-2208\,A^2\,B\,a^7\,b^{10}\,d^2-1672\,A^2\,B\,a^5\,b^{12}\,d^2+\frac{1701\,A^2\,B\,a^3\,b^{14}\,d^2}{2}+\frac{53\,A^2\,B\,a\,b^{16}\,d^2}{2}-1344\,A\,B^2\,a^8\,b^9\,d^2+720\,A\,B^2\,a^6\,b^{11}\,d^2+1932\,A\,B^2\,a^4\,b^{13}\,d^2-132\,A\,B^2\,a^2\,b^{15}\,d^2-96\,B^3\,a^9\,b^8\,d^2+672\,B^3\,a^7\,b^{10}\,d^2+466\,B^3\,a^5\,b^{12}\,d^2-302\,B^3\,a^3\,b^{14}\,d^2}{16\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,B\,a^6\,b^8\,d^4+640\,A\,a^5\,b^9\,d^4+192\,B\,a^4\,b^{10}\,d^4+672\,A\,a^3\,b^{11}\,d^4-192\,B\,a^2\,b^{12}\,d^4+32\,A\,a\,b^{13}\,d^4}{16\,a^2\,d^5}-\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{1024\,a^5\,d^5}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}\,1{}\mathrm{i}}{a^3\,d}-\frac{\left(\frac{\left(\frac{448\,A^3\,a^8\,b^9\,d^2-336\,A^3\,a^6\,b^{11}\,d^2-808\,A^3\,a^4\,b^{13}\,d^2-\frac{47\,A^3\,a^2\,b^{15}\,d^2}{2}+\frac{A^3\,b^{17}\,d^2}{2}+288\,A^2\,B\,a^9\,b^8\,d^2-2208\,A^2\,B\,a^7\,b^{10}\,d^2-1672\,A^2\,B\,a^5\,b^{12}\,d^2+\frac{1701\,A^2\,B\,a^3\,b^{14}\,d^2}{2}+\frac{53\,A^2\,B\,a\,b^{16}\,d^2}{2}-1344\,A\,B^2\,a^8\,b^9\,d^2+720\,A\,B^2\,a^6\,b^{11}\,d^2+1932\,A\,B^2\,a^4\,b^{13}\,d^2-132\,A\,B^2\,a^2\,b^{15}\,d^2-96\,B^3\,a^9\,b^8\,d^2+672\,B^3\,a^7\,b^{10}\,d^2+466\,B^3\,a^5\,b^{12}\,d^2-302\,B^3\,a^3\,b^{14}\,d^2}{16\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,B\,a^6\,b^8\,d^4+640\,A\,a^5\,b^9\,d^4+192\,B\,a^4\,b^{10}\,d^4+672\,A\,a^3\,b^{11}\,d^4-192\,B\,a^2\,b^{12}\,d^4+32\,A\,a\,b^{13}\,d^4}{16\,a^2\,d^5}+\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{1024\,a^5\,d^5}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}\,1{}\mathrm{i}}{a^3\,d}}{\frac{96\,A^5\,a^{11}\,b^9+100\,A^5\,a^9\,b^{11}-8\,A^5\,a^7\,b^{13}+\frac{143\,A^5\,a^5\,b^{15}}{2}+87\,A^5\,a^3\,b^{17}+\frac{7\,A^5\,a\,b^{19}}{2}+64\,A^4\,B\,a^{12}\,b^8-296\,A^4\,B\,a^{10}\,b^{10}-508\,A^4\,B\,a^8\,b^{12}+\frac{487\,A^4\,B\,a^6\,b^{14}}{4}+\frac{1055\,A^4\,B\,a^4\,b^{16}}{4}-\frac{23\,A^4\,B\,a^2\,b^{18}}{4}+\frac{A^4\,B\,b^{20}}{4}-128\,A^3\,B^2\,a^{11}\,b^9+200\,A^3\,B^2\,a^9\,b^{11}+889\,A^3\,B^2\,a^7\,b^{13}+\frac{1341\,A^3\,B^2\,a^5\,b^{15}}{2}+114\,A^3\,B^2\,a^3\,b^{17}+\frac{9\,A^3\,B^2\,a\,b^{19}}{2}+64\,A^2\,B^3\,a^{12}\,b^8-80\,A^2\,B^3\,a^{10}\,b^{10}-117\,A^2\,B^3\,a^8\,b^{12}+\frac{963\,A^2\,B^3\,a^6\,b^{14}}{4}+\frac{771\,A^2\,B^3\,a^4\,b^{16}}{4}-\frac{83\,A^2\,B^3\,a^2\,b^{18}}{4}+\frac{A^2\,B^3\,b^{20}}{4}-224\,A\,B^4\,a^{11}\,b^9+100\,A\,B^4\,a^9\,b^{11}+897\,A\,B^4\,a^7\,b^{13}+599\,A\,B^4\,a^5\,b^{15}+27\,A\,B^4\,a^3\,b^{17}+A\,B^4\,a\,b^{19}+216\,B^5\,a^{10}\,b^{10}+391\,B^5\,a^8\,b^{12}+119\,B^5\,a^6\,b^{14}-71\,B^5\,a^4\,b^{16}-15\,B^5\,a^2\,b^{18}}{a^2\,d^5}+\frac{\left(\frac{\left(\frac{448\,A^3\,a^8\,b^9\,d^2-336\,A^3\,a^6\,b^{11}\,d^2-808\,A^3\,a^4\,b^{13}\,d^2-\frac{47\,A^3\,a^2\,b^{15}\,d^2}{2}+\frac{A^3\,b^{17}\,d^2}{2}+288\,A^2\,B\,a^9\,b^8\,d^2-2208\,A^2\,B\,a^7\,b^{10}\,d^2-1672\,A^2\,B\,a^5\,b^{12}\,d^2+\frac{1701\,A^2\,B\,a^3\,b^{14}\,d^2}{2}+\frac{53\,A^2\,B\,a\,b^{16}\,d^2}{2}-1344\,A\,B^2\,a^8\,b^9\,d^2+720\,A\,B^2\,a^6\,b^{11}\,d^2+1932\,A\,B^2\,a^4\,b^{13}\,d^2-132\,A\,B^2\,a^2\,b^{15}\,d^2-96\,B^3\,a^9\,b^8\,d^2+672\,B^3\,a^7\,b^{10}\,d^2+466\,B^3\,a^5\,b^{12}\,d^2-302\,B^3\,a^3\,b^{14}\,d^2}{16\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,B\,a^6\,b^8\,d^4+640\,A\,a^5\,b^9\,d^4+192\,B\,a^4\,b^{10}\,d^4+672\,A\,a^3\,b^{11}\,d^4-192\,B\,a^2\,b^{12}\,d^4+32\,A\,a\,b^{13}\,d^4}{16\,a^2\,d^5}-\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{1024\,a^5\,d^5}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{a^3\,d}+\frac{\left(\frac{\left(\frac{448\,A^3\,a^8\,b^9\,d^2-336\,A^3\,a^6\,b^{11}\,d^2-808\,A^3\,a^4\,b^{13}\,d^2-\frac{47\,A^3\,a^2\,b^{15}\,d^2}{2}+\frac{A^3\,b^{17}\,d^2}{2}+288\,A^2\,B\,a^9\,b^8\,d^2-2208\,A^2\,B\,a^7\,b^{10}\,d^2-1672\,A^2\,B\,a^5\,b^{12}\,d^2+\frac{1701\,A^2\,B\,a^3\,b^{14}\,d^2}{2}+\frac{53\,A^2\,B\,a\,b^{16}\,d^2}{2}-1344\,A\,B^2\,a^8\,b^9\,d^2+720\,A\,B^2\,a^6\,b^{11}\,d^2+1932\,A\,B^2\,a^4\,b^{13}\,d^2-132\,A\,B^2\,a^2\,b^{15}\,d^2-96\,B^3\,a^9\,b^8\,d^2+672\,B^3\,a^7\,b^{10}\,d^2+466\,B^3\,a^5\,b^{12}\,d^2-302\,B^3\,a^3\,b^{14}\,d^2}{16\,a^2\,d^5}+\frac{\left(\frac{\left(\frac{384\,B\,a^6\,b^8\,d^4+640\,A\,a^5\,b^9\,d^4+192\,B\,a^4\,b^{10}\,d^4+672\,A\,a^3\,b^{11}\,d^4-192\,B\,a^2\,b^{12}\,d^4+32\,A\,a\,b^{13}\,d^4}{16\,a^2\,d^5}+\frac{\left(3072\,a^4\,b^8\,d^4+2048\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{1024\,a^5\,d^5}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-1280\,A^2\,a^7\,b^8\,d^2+5888\,A^2\,a^5\,b^{10}\,d^2+3008\,A^2\,a^3\,b^{12}\,d^2+4\,A^2\,a\,b^{14}\,d^2+11264\,A\,B\,a^6\,b^9\,d^2+1024\,A\,B\,a^4\,b^{11}\,d^2-2096\,A\,B\,a^2\,b^{13}\,d^2+2304\,B^2\,a^7\,b^8\,d^2-4352\,B^2\,a^5\,b^{10}\,d^2-2672\,B^2\,a^3\,b^{12}\,d^2\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{16\,a^3\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{10}\,b^8-64\,A^4\,a^8\,b^{10}+4176\,A^4\,a^6\,b^{12}+223\,A^4\,a^4\,b^{14}+86\,A^4\,a^2\,b^{16}-A^4\,b^{18}-768\,A^3\,B\,a^9\,b^9+9472\,A^3\,B\,a^7\,b^{11}-6516\,A^3\,B\,a^5\,b^{13}-192\,A^3\,B\,a^3\,b^{15}+4\,A^3\,B\,a\,b^{17}+9472\,A^2\,B^2\,a^8\,b^{10}-11508\,A^2\,B^2\,a^6\,b^{12}+3673\,A^2\,B^2\,a^4\,b^{14}+358\,A^2\,B^2\,a^2\,b^{16}+A^2\,B^2\,b^{18}+2816\,A\,B^3\,a^9\,b^9-8448\,A\,B^3\,a^7\,b^{11}+4116\,A\,B^3\,a^5\,b^{13}-472\,A\,B^3\,a^3\,b^{15}-12\,A\,B^3\,a\,b^{17}+384\,B^4\,a^{10}\,b^8-1216\,B^4\,a^8\,b^{10}+2212\,B^4\,a^6\,b^{12}+104\,B^4\,a^4\,b^{14}+164\,B^4\,a^2\,b^{16}\right)}{64\,a^2\,d^4}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}}{a^3\,d}}\right)\,\sqrt{576\,A^2\,a^7\,b^2+48\,A^2\,a^5\,b^4+A^2\,a^3\,b^6+768\,A\,B\,a^8\,b-256\,A\,B\,a^6\,b^3-12\,A\,B\,a^4\,b^5+256\,B^2\,a^9-192\,B^2\,a^7\,b^2+36\,B^2\,a^5\,b^4}\,1{}\mathrm{i}}{8\,a^3\,d}","Not used",1,"atan(((((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) - ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) + ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) - ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) + ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (A^4*B*b^20 + 14*A^5*a*b^19 + A^2*B^3*b^20 + 348*A^5*a^3*b^17 + 286*A^5*a^5*b^15 - 32*A^5*a^7*b^13 + 400*A^5*a^9*b^11 + 384*A^5*a^11*b^9 - 60*B^5*a^2*b^18 - 284*B^5*a^4*b^16 + 476*B^5*a^6*b^14 + 1564*B^5*a^8*b^12 + 864*B^5*a^10*b^10 - 83*A^2*B^3*a^2*b^18 + 771*A^2*B^3*a^4*b^16 + 963*A^2*B^3*a^6*b^14 - 468*A^2*B^3*a^8*b^12 - 320*A^2*B^3*a^10*b^10 + 256*A^2*B^3*a^12*b^8 + 456*A^3*B^2*a^3*b^17 + 2682*A^3*B^2*a^5*b^15 + 3556*A^3*B^2*a^7*b^13 + 800*A^3*B^2*a^9*b^11 - 512*A^3*B^2*a^11*b^9 + 4*A*B^4*a*b^19 + 108*A*B^4*a^3*b^17 + 2396*A*B^4*a^5*b^15 + 3588*A*B^4*a^7*b^13 + 400*A*B^4*a^9*b^11 - 896*A*B^4*a^11*b^9 + 18*A^3*B^2*a*b^19 - 23*A^4*B*a^2*b^18 + 1055*A^4*B*a^4*b^16 + 487*A^4*B*a^6*b^14 - 2032*A^4*B*a^8*b^12 - 1184*A^4*B*a^10*b^10 + 256*A^4*B*a^12*b^8)/(4*a^2*d^5)))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) + A^2*a^3*d^2 - B^2*a^3*d^2 + 2*A*B*b^3*d^2 - 3*A^2*a*b^2*d^2 + 3*B^2*a*b^2*d^2 - 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i - ((a + b*tan(c + d*x))^(3/2)*((A*b^3)/3 + 2*A*a^2*b - 2*B*a*b^2) - (a + b*tan(c + d*x))^(1/2)*((A*a*b^3)/8 - (3*B*a^2*b^2)/4 + A*a^3*b) + ((a + b*tan(c + d*x))^(5/2)*(A*b^3 - 8*A*a^2*b + 10*B*a*b^2))/(8*a))/(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))) + atan(((((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) - ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i - (((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) + ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*1i)/((((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) - ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (((((256*A*a*b^13*d^4 + 5376*A*a^3*b^11*d^4 + 5120*A*a^5*b^9*d^4 - 1536*B*a^2*b^12*d^4 + 1536*B*a^4*b^10*d^4 + 3072*B*a^6*b^8*d^4)/(8*a^2*d^5) + ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (4*A^3*b^17*d^2 - 188*A^3*a^2*b^15*d^2 - 6464*A^3*a^4*b^13*d^2 - 2688*A^3*a^6*b^11*d^2 + 3584*A^3*a^8*b^9*d^2 - 2416*B^3*a^3*b^14*d^2 + 3728*B^3*a^5*b^12*d^2 + 5376*B^3*a^7*b^10*d^2 - 768*B^3*a^9*b^8*d^2 + 212*A^2*B*a*b^16*d^2 - 1056*A*B^2*a^2*b^15*d^2 + 15456*A*B^2*a^4*b^13*d^2 + 5760*A*B^2*a^6*b^11*d^2 - 10752*A*B^2*a^8*b^9*d^2 + 6804*A^2*B*a^3*b^14*d^2 - 13376*A^2*B*a^5*b^12*d^2 - 17664*A^2*B*a^7*b^10*d^2 + 2304*A^2*B*a^9*b^8*d^2)/(8*a^2*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(4*a^2*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2) + (A^4*B*b^20 + 14*A^5*a*b^19 + A^2*B^3*b^20 + 348*A^5*a^3*b^17 + 286*A^5*a^5*b^15 - 32*A^5*a^7*b^13 + 400*A^5*a^9*b^11 + 384*A^5*a^11*b^9 - 60*B^5*a^2*b^18 - 284*B^5*a^4*b^16 + 476*B^5*a^6*b^14 + 1564*B^5*a^8*b^12 + 864*B^5*a^10*b^10 - 83*A^2*B^3*a^2*b^18 + 771*A^2*B^3*a^4*b^16 + 963*A^2*B^3*a^6*b^14 - 468*A^2*B^3*a^8*b^12 - 320*A^2*B^3*a^10*b^10 + 256*A^2*B^3*a^12*b^8 + 456*A^3*B^2*a^3*b^17 + 2682*A^3*B^2*a^5*b^15 + 3556*A^3*B^2*a^7*b^13 + 800*A^3*B^2*a^9*b^11 - 512*A^3*B^2*a^11*b^9 + 4*A*B^4*a*b^19 + 108*A*B^4*a^3*b^17 + 2396*A*B^4*a^5*b^15 + 3588*A*B^4*a^7*b^13 + 400*A*B^4*a^9*b^11 - 896*A*B^4*a^11*b^9 + 18*A^3*B^2*a*b^19 - 23*A^4*B*a^2*b^18 + 1055*A^4*B*a^4*b^16 + 487*A^4*B*a^6*b^14 - 2032*A^4*B*a^8*b^12 - 1184*A^4*B*a^10*b^10 + 256*A^4*B*a^12*b^8)/(4*a^2*d^5)))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 + 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 - 48*A*B*a^2*b*d^2)^2/64 - d^4*(A^4*a^6 + A^4*b^6 + B^4*a^6 + B^4*b^6 + 2*A^2*B^2*a^6 + 2*A^2*B^2*b^6 + 3*A^4*a^2*b^4 + 3*A^4*a^4*b^2 + 3*B^4*a^2*b^4 + 3*B^4*a^4*b^2 + 6*A^2*B^2*a^2*b^4 + 6*A^2*B^2*a^4*b^2))^(1/2) - A^2*a^3*d^2 + B^2*a^3*d^2 - 2*A*B*b^3*d^2 + 3*A^2*a*b^2*d^2 - 3*B^2*a*b^2*d^2 + 6*A*B*a^2*b*d^2)/(4*d^4))^(1/2)*2i + (atan((((((((A^3*b^17*d^2)/2 - (47*A^3*a^2*b^15*d^2)/2 - 808*A^3*a^4*b^13*d^2 - 336*A^3*a^6*b^11*d^2 + 448*A^3*a^8*b^9*d^2 - 302*B^3*a^3*b^14*d^2 + 466*B^3*a^5*b^12*d^2 + 672*B^3*a^7*b^10*d^2 - 96*B^3*a^9*b^8*d^2 + (53*A^2*B*a*b^16*d^2)/2 - 132*A*B^2*a^2*b^15*d^2 + 1932*A*B^2*a^4*b^13*d^2 + 720*A*B^2*a^6*b^11*d^2 - 1344*A*B^2*a^8*b^9*d^2 + (1701*A^2*B*a^3*b^14*d^2)/2 - 1672*A^2*B*a^5*b^12*d^2 - 2208*A^2*B*a^7*b^10*d^2 + 288*A^2*B*a^9*b^8*d^2)/(16*a^2*d^5) + (((((32*A*a*b^13*d^4 + 672*A*a^3*b^11*d^4 + 640*A*a^5*b^9*d^4 - 192*B*a^2*b^12*d^4 + 192*B*a^4*b^10*d^4 + 384*B*a^6*b^8*d^4)/(16*a^2*d^5) - ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(1024*a^5*d^5))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2)*1i)/(a^3*d) - ((((((A^3*b^17*d^2)/2 - (47*A^3*a^2*b^15*d^2)/2 - 808*A^3*a^4*b^13*d^2 - 336*A^3*a^6*b^11*d^2 + 448*A^3*a^8*b^9*d^2 - 302*B^3*a^3*b^14*d^2 + 466*B^3*a^5*b^12*d^2 + 672*B^3*a^7*b^10*d^2 - 96*B^3*a^9*b^8*d^2 + (53*A^2*B*a*b^16*d^2)/2 - 132*A*B^2*a^2*b^15*d^2 + 1932*A*B^2*a^4*b^13*d^2 + 720*A*B^2*a^6*b^11*d^2 - 1344*A*B^2*a^8*b^9*d^2 + (1701*A^2*B*a^3*b^14*d^2)/2 - 1672*A^2*B*a^5*b^12*d^2 - 2208*A^2*B*a^7*b^10*d^2 + 288*A^2*B*a^9*b^8*d^2)/(16*a^2*d^5) + (((((32*A*a*b^13*d^4 + 672*A*a^3*b^11*d^4 + 640*A*a^5*b^9*d^4 - 192*B*a^2*b^12*d^4 + 192*B*a^4*b^10*d^4 + 384*B*a^6*b^8*d^4)/(16*a^2*d^5) + ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(1024*a^5*d^5))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2)*1i)/(a^3*d))/(((A^4*B*b^20)/4 + (7*A^5*a*b^19)/2 + (A^2*B^3*b^20)/4 + 87*A^5*a^3*b^17 + (143*A^5*a^5*b^15)/2 - 8*A^5*a^7*b^13 + 100*A^5*a^9*b^11 + 96*A^5*a^11*b^9 - 15*B^5*a^2*b^18 - 71*B^5*a^4*b^16 + 119*B^5*a^6*b^14 + 391*B^5*a^8*b^12 + 216*B^5*a^10*b^10 - (83*A^2*B^3*a^2*b^18)/4 + (771*A^2*B^3*a^4*b^16)/4 + (963*A^2*B^3*a^6*b^14)/4 - 117*A^2*B^3*a^8*b^12 - 80*A^2*B^3*a^10*b^10 + 64*A^2*B^3*a^12*b^8 + 114*A^3*B^2*a^3*b^17 + (1341*A^3*B^2*a^5*b^15)/2 + 889*A^3*B^2*a^7*b^13 + 200*A^3*B^2*a^9*b^11 - 128*A^3*B^2*a^11*b^9 + A*B^4*a*b^19 + 27*A*B^4*a^3*b^17 + 599*A*B^4*a^5*b^15 + 897*A*B^4*a^7*b^13 + 100*A*B^4*a^9*b^11 - 224*A*B^4*a^11*b^9 + (9*A^3*B^2*a*b^19)/2 - (23*A^4*B*a^2*b^18)/4 + (1055*A^4*B*a^4*b^16)/4 + (487*A^4*B*a^6*b^14)/4 - 508*A^4*B*a^8*b^12 - 296*A^4*B*a^10*b^10 + 64*A^4*B*a^12*b^8)/(a^2*d^5) + ((((((A^3*b^17*d^2)/2 - (47*A^3*a^2*b^15*d^2)/2 - 808*A^3*a^4*b^13*d^2 - 336*A^3*a^6*b^11*d^2 + 448*A^3*a^8*b^9*d^2 - 302*B^3*a^3*b^14*d^2 + 466*B^3*a^5*b^12*d^2 + 672*B^3*a^7*b^10*d^2 - 96*B^3*a^9*b^8*d^2 + (53*A^2*B*a*b^16*d^2)/2 - 132*A*B^2*a^2*b^15*d^2 + 1932*A*B^2*a^4*b^13*d^2 + 720*A*B^2*a^6*b^11*d^2 - 1344*A*B^2*a^8*b^9*d^2 + (1701*A^2*B*a^3*b^14*d^2)/2 - 1672*A^2*B*a^5*b^12*d^2 - 2208*A^2*B*a^7*b^10*d^2 + 288*A^2*B*a^9*b^8*d^2)/(16*a^2*d^5) + (((((32*A*a*b^13*d^4 + 672*A*a^3*b^11*d^4 + 640*A*a^5*b^9*d^4 - 192*B*a^2*b^12*d^4 + 192*B*a^4*b^10*d^4 + 384*B*a^6*b^8*d^4)/(16*a^2*d^5) - ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(1024*a^5*d^5))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(a^3*d) + ((((((A^3*b^17*d^2)/2 - (47*A^3*a^2*b^15*d^2)/2 - 808*A^3*a^4*b^13*d^2 - 336*A^3*a^6*b^11*d^2 + 448*A^3*a^8*b^9*d^2 - 302*B^3*a^3*b^14*d^2 + 466*B^3*a^5*b^12*d^2 + 672*B^3*a^7*b^10*d^2 - 96*B^3*a^9*b^8*d^2 + (53*A^2*B*a*b^16*d^2)/2 - 132*A*B^2*a^2*b^15*d^2 + 1932*A*B^2*a^4*b^13*d^2 + 720*A*B^2*a^6*b^11*d^2 - 1344*A*B^2*a^8*b^9*d^2 + (1701*A^2*B*a^3*b^14*d^2)/2 - 1672*A^2*B*a^5*b^12*d^2 - 2208*A^2*B*a^7*b^10*d^2 + 288*A^2*B*a^9*b^8*d^2)/(16*a^2*d^5) + (((((32*A*a*b^13*d^4 + 672*A*a^3*b^11*d^4 + 640*A*a^5*b^9*d^4 - 192*B*a^2*b^12*d^4 + 192*B*a^4*b^10*d^4 + 384*B*a^6*b^8*d^4)/(16*a^2*d^5) + ((2048*a^2*b^10*d^4 + 3072*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(1024*a^5*d^5))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) - ((a + b*tan(c + d*x))^(1/2)*(3008*A^2*a^3*b^12*d^2 + 5888*A^2*a^5*b^10*d^2 - 1280*A^2*a^7*b^8*d^2 - 2672*B^2*a^3*b^12*d^2 - 4352*B^2*a^5*b^10*d^2 + 2304*B^2*a^7*b^8*d^2 + 4*A^2*a*b^14*d^2 - 2096*A*B*a^2*b^13*d^2 + 1024*A*B*a^4*b^11*d^2 + 11264*A*B*a^6*b^9*d^2))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(16*a^3*d) + ((a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^18 - A^4*b^18 + 86*A^4*a^2*b^16 + 223*A^4*a^4*b^14 + 4176*A^4*a^6*b^12 - 64*A^4*a^8*b^10 + 128*A^4*a^10*b^8 + 164*B^4*a^2*b^16 + 104*B^4*a^4*b^14 + 2212*B^4*a^6*b^12 - 1216*B^4*a^8*b^10 + 384*B^4*a^10*b^8 + 358*A^2*B^2*a^2*b^16 + 3673*A^2*B^2*a^4*b^14 - 11508*A^2*B^2*a^6*b^12 + 9472*A^2*B^2*a^8*b^10 - 12*A*B^3*a*b^17 + 4*A^3*B*a*b^17 - 472*A*B^3*a^3*b^15 + 4116*A*B^3*a^5*b^13 - 8448*A*B^3*a^7*b^11 + 2816*A*B^3*a^9*b^9 - 192*A^3*B*a^3*b^15 - 6516*A^3*B*a^5*b^13 + 9472*A^3*B*a^7*b^11 - 768*A^3*B*a^9*b^9))/(64*a^2*d^4))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2))/(a^3*d)))*(256*B^2*a^9 + A^2*a^3*b^6 + 48*A^2*a^5*b^4 + 576*A^2*a^7*b^2 + 36*B^2*a^5*b^4 - 192*B^2*a^7*b^2 + 768*A*B*a^8*b - 12*A*B*a^4*b^5 - 256*A*B*a^6*b^3)^(1/2)*1i)/(8*a^3*d)","B"
332,1,4139,252,168.237443,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\ln\left(\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,a^4\,b^2-32\,B\,b^6+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}}{4\,d^4}+\frac{B^2\,a^5}{4\,d^2}-\frac{5\,B^2\,a^3\,b^2}{2\,d^2}+\frac{5\,B^2\,a\,b^4}{4\,d^2}}-\left(2\,a\,\left(2\,a\,\left(\frac{2\,B\,\left(a^2+b^2\right)}{b^2\,d}-\frac{2\,B\,a^2}{b^2\,d}\right)+\frac{2\,B\,a^3}{b^2\,d}-\frac{2\,B\,a\,\left(a^2+b^2\right)}{b^2\,d}\right)-\left(\frac{2\,B\,\left(a^2+b^2\right)}{b^2\,d}-\frac{2\,B\,a^2}{b^2\,d}\right)\,\left(a^2+b^2\right)\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\ln\left(\frac{\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,b^6-32\,B\,a^4\,b^2+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}+\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{4\,d^4}}-\left(\frac{2\,B\,\left(a^2+b^2\right)}{5\,b^2\,d}-\frac{2\,B\,a^2}{5\,b^2\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}-\ln\left(\frac{\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,b^6-32\,B\,a^4\,b^2+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}+\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{-\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{4\,d^4}}+\ln\left(\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,a^4\,b^2-32\,B\,b^6+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{B^2\,a^5}{4\,d^2}-\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^2}{2\,d^2}+\frac{5\,B^2\,a\,b^4}{4\,d^2}}-{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}\,\left(\frac{2\,a\,\left(\frac{2\,B\,\left(a^2+b^2\right)}{b^2\,d}-\frac{2\,B\,a^2}{b^2\,d}\right)}{3}+\frac{2\,B\,a^3}{3\,b^2\,d}-\frac{2\,B\,a\,\left(a^2+b^2\right)}{3\,b^2\,d}\right)-\ln\left(\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5-32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{-\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{4\,d^4}}-\ln\left(\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5-32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{4\,d^4}}+\ln\left(\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}}{4\,d^4}-\frac{A^2\,a^5}{4\,d^2}+\frac{5\,A^2\,a^3\,b^2}{2\,d^2}-\frac{5\,A^2\,a\,b^4}{4\,d^2}}+\ln\left(\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^2}{2\,d^2}-\frac{A^2\,a^5}{4\,d^2}-\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a\,b^4}{4\,d^2}}-\left(\frac{2\,A\,\left(a^2+b^2\right)}{3\,b\,d}-\frac{2\,A\,a^2}{3\,b\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}-2\,a\,\left(\frac{2\,A\,\left(a^2+b^2\right)}{b\,d}-\frac{2\,A\,a^2}{b\,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)}^{7/2}}{7\,b\,d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{9/2}}{9\,b^2\,d}-\frac{2\,B\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b^2\,d}","Not used",1,"log((8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3 - ((((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*a^4*b^2 - 32*B*b^6 + 32*a*b^2*d*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2)*((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a^5)/(4*d^2) - (5*B^2*a^3*b^2)/(2*d^2) + (5*B^2*a*b^4)/(4*d^2))^(1/2) - (2*a*(2*a*((2*B*(a^2 + b^2))/(b^2*d) - (2*B*a^2)/(b^2*d)) + (2*B*a^3)/(b^2*d) - (2*B*a*(a^2 + b^2))/(b^2*d)) - ((2*B*(a^2 + b^2))/(b^2*d) - (2*B*a^2)/(b^2*d))*(a^2 + b^2))*(a + b*tan(c + d*x))^(1/2) - log(((((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*b^6 - 32*B*a^4*b^2 + 32*a*b^2*d*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2 + (8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/(4*d^4))^(1/2) - ((2*B*(a^2 + b^2))/(5*b^2*d) - (2*B*a^2)/(5*b^2*d))*(a + b*tan(c + d*x))^(5/2) - log(((((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*b^6 - 32*B*a^4*b^2 + 32*a*b^2*d*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2 + (8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(-((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/(4*d^4))^(1/2) + log((8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3 - ((((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*a^4*b^2 - 32*B*b^6 + 32*a*b^2*d*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2)*((B^2*a^5)/(4*d^2) - (20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^2)/(2*d^2) + (5*B^2*a*b^4)/(4*d^2))^(1/2) - (a + b*tan(c + d*x))^(3/2)*((2*a*((2*B*(a^2 + b^2))/(b^2*d) - (2*B*a^2)/(b^2*d)))/3 + (2*B*a^3)/(3*b^2*d) - (2*B*a*(a^2 + b^2))/(3*b^2*d)) - log((8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 - 32*a*b^2*d*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*(-((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/(4*d^4))^(1/2) - log((8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 - 32*a*b^2*d*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*(((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/(4*d^4))^(1/2) + log((8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 + 32*a*b^2*d*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^5)/(4*d^2) + (5*A^2*a^3*b^2)/(2*d^2) - (5*A^2*a*b^4)/(4*d^2))^(1/2) + log((8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 + 32*a*b^2*d*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*((5*A^2*a^3*b^2)/(2*d^2) - (A^2*a^5)/(4*d^2) - (20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a*b^4)/(4*d^2))^(1/2) - ((2*A*(a^2 + b^2))/(3*b*d) - (2*A*a^2)/(3*b*d))*(a + b*tan(c + d*x))^(3/2) - 2*a*((2*A*(a^2 + b^2))/(b*d) - (2*A*a^2)/(b*d))*(a + b*tan(c + d*x))^(1/2) + (2*A*(a + b*tan(c + d*x))^(7/2))/(7*b*d) + (2*B*(a + b*tan(c + d*x))^(9/2))/(9*b^2*d) - (2*B*a*(a + b*tan(c + d*x))^(7/2))/(7*b^2*d)","B"
333,1,3932,213,79.739206,"\text{Not used}","int(tan(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\ln\left(-\frac{\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,A\,b^6-32\,A\,a^4\,b^2+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,A^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}}{4\,d^4}+\frac{A^2\,a^5}{4\,d^2}-\frac{5\,A^2\,a^3\,b^2}{2\,d^2}+\frac{5\,A^2\,a\,b^4}{4\,d^2}}-\ln\left(\frac{\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,A\,a^4\,b^2-32\,A\,b^6+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,A^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{4\,d^4}}-\left(\frac{2\,B\,\left(a^2+b^2\right)}{3\,b\,d}-\frac{2\,B\,a^2}{3\,b\,d}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}-\ln\left(\frac{\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,A\,a^4\,b^2-32\,A\,b^6+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,A^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{-\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{4\,d^4}}+\ln\left(-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,A\,b^6-32\,A\,a^4\,b^2+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,A^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{A^2\,a^5}{4\,d^2}-\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^2}{2\,d^2}+\frac{5\,A^2\,a\,b^4}{4\,d^2}}+\left(\frac{4\,A\,a^2}{d}-\frac{2\,A\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\ln\left(\frac{8\,B^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,B\,a^3\,b^3+64\,B\,a\,b^5-32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{-\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{4\,d^4}}-\ln\left(\frac{8\,B^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,B\,a^3\,b^3+64\,B\,a\,b^5-32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{4\,d^4}}+\ln\left(\frac{8\,B^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,B\,a^3\,b^3+64\,B\,a\,b^5+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}}{4\,d^4}-\frac{B^2\,a^5}{4\,d^2}+\frac{5\,B^2\,a^3\,b^2}{2\,d^2}-\frac{5\,B^2\,a\,b^4}{4\,d^2}}+\ln\left(\frac{8\,B^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,B\,a^3\,b^3+64\,B\,a\,b^5+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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)}{2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^2}{2\,d^2}-\frac{B^2\,a^5}{4\,d^2}-\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a\,b^4}{4\,d^2}}-2\,a\,\left(\frac{2\,B\,\left(a^2+b^2\right)}{b\,d}-\frac{2\,B\,a^2}{b\,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)}^{5/2}}{5\,d}+\frac{2\,A\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}}{7\,b\,d}","Not used",1,"log(- ((((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(32*A*b^6 - 32*A*a^4*b^2 + 32*a*b^2*d*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*A^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a^5)/(4*d^2) - (5*A^2*a^3*b^2)/(2*d^2) + (5*A^2*a*b^4)/(4*d^2))^(1/2) - log(((((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(32*A*a^4*b^2 - 32*A*b^6 + 32*a*b^2*d*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*A^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/(4*d^4))^(1/2) - ((2*B*(a^2 + b^2))/(3*b*d) - (2*B*a^2)/(3*b*d))*(a + b*tan(c + d*x))^(3/2) - log(((((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(32*A*a^4*b^2 - 32*A*b^6 + 32*a*b^2*d*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*A^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(-((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/(4*d^4))^(1/2) + log(- ((((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(32*A*b^6 - 32*A*a^4*b^2 + 32*a*b^2*d*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*A^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*((A^2*a^5)/(4*d^2) - (20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^2)/(2*d^2) + (5*A^2*a*b^4)/(4*d^2))^(1/2) + ((4*A*a^2)/d - (2*A*(a^2 + b^2))/d)*(a + b*tan(c + d*x))^(1/2) - log((8*B^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(64*B*a^3*b^3 + 64*B*a*b^5 - 32*a*b^2*d*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*(-((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/(4*d^4))^(1/2) - log((8*B^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(64*B*a^3*b^3 + 64*B*a*b^5 - 32*a*b^2*d*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*(((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/(4*d^4))^(1/2) + log((8*B^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(64*B*a^3*b^3 + 64*B*a*b^5 + 32*a*b^2*d*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^5)/(4*d^2) + (5*B^2*a^3*b^2)/(2*d^2) - (5*B^2*a*b^4)/(4*d^2))^(1/2) + log((8*B^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(64*B*a^3*b^3 + 64*B*a*b^5 + 32*a*b^2*d*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2)*((5*B^2*a^3*b^2)/(2*d^2) - (B^2*a^5)/(4*d^2) - (20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a*b^4)/(4*d^2))^(1/2) - 2*a*((2*B*(a^2 + b^2))/(b*d) - (2*B*a^2)/(b*d))*(a + b*tan(c + d*x))^(1/2) + (2*A*(a + b*tan(c + d*x))^(5/2))/(5*d) + (2*A*a*(a + b*tan(c + d*x))^(3/2))/(3*d) + (2*B*(a + b*tan(c + d*x))^(7/2))/(7*b*d)","B"
334,1,3863,188,34.445351,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\ln\left(-\frac{\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,b^6-32\,B\,a^4\,b^2+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}}{4\,d^4}+\frac{B^2\,a^5}{4\,d^2}-\frac{5\,B^2\,a^3\,b^2}{2\,d^2}+\frac{5\,B^2\,a\,b^4}{4\,d^2}}-\ln\left(\frac{\left(\frac{\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,a^4\,b^2-32\,B\,b^6+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}+B^2\,a^5\,d^2-10\,B^2\,a^3\,b^2\,d^2+5\,B^2\,a\,b^4\,d^2}{4\,d^4}}-\ln\left(\frac{\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,a^4\,b^2-32\,B\,b^6+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{-\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{4\,d^4}}+\ln\left(-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\left(32\,B\,b^6-32\,B\,a^4\,b^2+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,B^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-B^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-B^2\,a^5\,d^2+10\,B^2\,a^3\,b^2\,d^2-5\,B^2\,a\,b^4\,d^2}{d^4}}}{2}-\frac{8\,B^3\,a\,b^2\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{B^2\,a^5}{4\,d^2}-\frac{\sqrt{-25\,B^4\,a^8\,b^2\,d^4+100\,B^4\,a^6\,b^4\,d^4-110\,B^4\,a^4\,b^6\,d^4+20\,B^4\,a^2\,b^8\,d^4-B^4\,b^{10}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^2}{2\,d^2}+\frac{5\,B^2\,a\,b^4}{4\,d^2}}+\left(\frac{4\,B\,a^2}{d}-\frac{2\,B\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}-\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{-\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{4\,d^4}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}-\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{4\,d^4}}+\ln\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5-32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-A^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}-\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}}{4\,d^4}-\frac{A^2\,a^5}{4\,d^2}+\frac{5\,A^2\,a^3\,b^2}{2\,d^2}-\frac{5\,A^2\,a\,b^4}{4\,d^2}}+\ln\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\left(64\,A\,a^3\,b^3+64\,A\,a\,b^5-32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-A^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+A^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+5\,A^2\,a\,b^4\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,A^2\,b^2\,\sqrt{a+b\,\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)}{2}-\frac{8\,A^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^2}{2\,d^2}-\frac{A^2\,a^5}{4\,d^2}-\frac{\sqrt{-25\,A^4\,a^8\,b^2\,d^4+100\,A^4\,a^6\,b^4\,d^4-110\,A^4\,a^4\,b^6\,d^4+20\,A^4\,a^2\,b^8\,d^4-A^4\,b^{10}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a\,b^4}{4\,d^2}}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,d}+\frac{2\,A\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{2\,B\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{4\,A\,a\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}","Not used",1,"log(- ((((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*b^6 - 32*B*a^4*b^2 + 32*a*b^2*d*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a^5)/(4*d^2) - (5*B^2*a^3*b^2)/(2*d^2) + (5*B^2*a*b^4)/(4*d^2))^(1/2) - log(((((((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*a^4*b^2 - 32*B*b^6 + 32*a*b^2*d*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2) + B^2*a^5*d^2 - 10*B^2*a^3*b^2*d^2 + 5*B^2*a*b^4*d^2)/(4*d^4))^(1/2) - log(((((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*a^4*b^2 - 32*B*b^6 + 32*a*b^2*d*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(-((20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/(4*d^4))^(1/2) + log(- ((((-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(32*B*b^6 - 32*B*a^4*b^2 + 32*a*b^2*d*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*B^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-B^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - B^2*a^5*d^2 + 10*B^2*a^3*b^2*d^2 - 5*B^2*a*b^4*d^2)/d^4)^(1/2))/2 - (8*B^3*a*b^2*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*((B^2*a^5)/(4*d^2) - (20*B^4*a^2*b^8*d^4 - B^4*b^10*d^4 - 110*B^4*a^4*b^6*d^4 + 100*B^4*a^6*b^4*d^4 - 25*B^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^2)/(2*d^2) + (5*B^2*a*b^4)/(4*d^2))^(1/2) + ((4*B*a^2)/d - (2*B*(a^2 + b^2))/d)*(a + b*tan(c + d*x))^(1/2) - log(((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 + 32*a*b^2*d*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2 - (8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3)*(-((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/(4*d^4))^(1/2) - log(((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 + 32*a*b^2*d*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2 - (8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3)*(((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/(4*d^4))^(1/2) + log(((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 - 32*a*b^2*d*(((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - A^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2 - (8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3)*((20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^5)/(4*d^2) + (5*A^2*a^3*b^2)/(2*d^2) - (5*A^2*a*b^4)/(4*d^2))^(1/2) + log(((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(((-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(64*A*a^3*b^3 + 64*A*a*b^5 - 32*a*b^2*d*(-((-A^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + A^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 5*A^2*a*b^4*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*A^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2))/2 - (8*A^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3)*((5*A^2*a^3*b^2)/(2*d^2) - (A^2*a^5)/(4*d^2) - (20*A^4*a^2*b^8*d^4 - A^4*b^10*d^4 - 110*A^4*a^4*b^6*d^4 + 100*A^4*a^6*b^4*d^4 - 25*A^4*a^8*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a*b^4)/(4*d^2))^(1/2) + (2*B*(a + b*tan(c + d*x))^(5/2))/(5*d) + (2*A*b*(a + b*tan(c + d*x))^(3/2))/(3*d) + (2*B*a*(a + b*tan(c + d*x))^(3/2))/(3*d) + (4*A*a*b*(a + b*tan(c + d*x))^(1/2))/d","B"
335,1,29441,182,12.288450,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\left(\frac{2\,A\,b^2-2\,B\,a\,b}{d}+\frac{6\,B\,a\,b}{d}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{64\,\left(6\,A^5\,a^{13}\,b^{10}+21\,A^5\,a^{11}\,b^{12}+28\,A^5\,a^9\,b^{14}+18\,A^5\,a^7\,b^{16}+6\,A^5\,a^5\,b^{18}+A^5\,a^3\,b^{20}+3\,A^4\,B\,a^{14}\,b^9+8\,A^4\,B\,a^{12}\,b^{11}+6\,A^4\,B\,a^{10}\,b^{13}-A^4\,B\,a^6\,b^{17}+A^3\,B^2\,a^{15}\,b^8+12\,A^3\,B^2\,a^{13}\,b^{10}+36\,A^3\,B^2\,a^{11}\,b^{12}+48\,A^3\,B^2\,a^9\,b^{14}+33\,A^3\,B^2\,a^7\,b^{16}+12\,A^3\,B^2\,a^5\,b^{18}+2\,A^3\,B^2\,a^3\,b^{20}+3\,A^2\,B^3\,a^{14}\,b^9+8\,A^2\,B^3\,a^{12}\,b^{11}+6\,A^2\,B^3\,a^{10}\,b^{13}-A^2\,B^3\,a^6\,b^{17}+A\,B^4\,a^{15}\,b^8+6\,A\,B^4\,a^{13}\,b^{10}+15\,A\,B^4\,a^{11}\,b^{12}+20\,A\,B^4\,a^9\,b^{14}+15\,A\,B^4\,a^7\,b^{16}+6\,A\,B^4\,a^5\,b^{18}+A\,B^4\,a^3\,b^{20}\right)}{d^5}+\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{64\,\left(6\,A^5\,a^{13}\,b^{10}+21\,A^5\,a^{11}\,b^{12}+28\,A^5\,a^9\,b^{14}+18\,A^5\,a^7\,b^{16}+6\,A^5\,a^5\,b^{18}+A^5\,a^3\,b^{20}+3\,A^4\,B\,a^{14}\,b^9+8\,A^4\,B\,a^{12}\,b^{11}+6\,A^4\,B\,a^{10}\,b^{13}-A^4\,B\,a^6\,b^{17}+A^3\,B^2\,a^{15}\,b^8+12\,A^3\,B^2\,a^{13}\,b^{10}+36\,A^3\,B^2\,a^{11}\,b^{12}+48\,A^3\,B^2\,a^9\,b^{14}+33\,A^3\,B^2\,a^7\,b^{16}+12\,A^3\,B^2\,a^5\,b^{18}+2\,A^3\,B^2\,a^3\,b^{20}+3\,A^2\,B^3\,a^{14}\,b^9+8\,A^2\,B^3\,a^{12}\,b^{11}+6\,A^2\,B^3\,a^{10}\,b^{13}-A^2\,B^3\,a^6\,b^{17}+A\,B^4\,a^{15}\,b^8+6\,A\,B^4\,a^{13}\,b^{10}+15\,A\,B^4\,a^{11}\,b^{12}+20\,A\,B^4\,a^9\,b^{14}+15\,A\,B^4\,a^7\,b^{16}+6\,A\,B^4\,a^5\,b^{18}+A\,B^4\,a^3\,b^{20}\right)}{d^5}+\left(\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\frac{2\,B\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}+\frac{A\,\mathrm{atan}\left(\frac{\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}+\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}+\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}-\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}-\frac{32\,A\,\sqrt{a^5}\,\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^5}\right)}{d}\right)}{d}\right)\,\sqrt{a^5}}{d}\right)\,\sqrt{a^5}\,1{}\mathrm{i}}{d}+\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}-\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}+\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}+\frac{32\,A\,\sqrt{a^5}\,\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^5}\right)}{d}\right)}{d}\right)\,\sqrt{a^5}}{d}\right)\,\sqrt{a^5}\,1{}\mathrm{i}}{d}}{\frac{64\,\left(6\,A^5\,a^{13}\,b^{10}+21\,A^5\,a^{11}\,b^{12}+28\,A^5\,a^9\,b^{14}+18\,A^5\,a^7\,b^{16}+6\,A^5\,a^5\,b^{18}+A^5\,a^3\,b^{20}+3\,A^4\,B\,a^{14}\,b^9+8\,A^4\,B\,a^{12}\,b^{11}+6\,A^4\,B\,a^{10}\,b^{13}-A^4\,B\,a^6\,b^{17}+A^3\,B^2\,a^{15}\,b^8+12\,A^3\,B^2\,a^{13}\,b^{10}+36\,A^3\,B^2\,a^{11}\,b^{12}+48\,A^3\,B^2\,a^9\,b^{14}+33\,A^3\,B^2\,a^7\,b^{16}+12\,A^3\,B^2\,a^5\,b^{18}+2\,A^3\,B^2\,a^3\,b^{20}+3\,A^2\,B^3\,a^{14}\,b^9+8\,A^2\,B^3\,a^{12}\,b^{11}+6\,A^2\,B^3\,a^{10}\,b^{13}-A^2\,B^3\,a^6\,b^{17}+A\,B^4\,a^{15}\,b^8+6\,A\,B^4\,a^{13}\,b^{10}+15\,A\,B^4\,a^{11}\,b^{12}+20\,A\,B^4\,a^9\,b^{14}+15\,A\,B^4\,a^7\,b^{16}+6\,A\,B^4\,a^5\,b^{18}+A\,B^4\,a^3\,b^{20}\right)}{d^5}-\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}+\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}+\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}-\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}-\frac{32\,A\,\sqrt{a^5}\,\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^5}\right)}{d}\right)}{d}\right)\,\sqrt{a^5}}{d}\right)\,\sqrt{a^5}}{d}+\frac{A\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(3\,A^4\,a^{12}\,b^8-24\,A^4\,a^{10}\,b^{10}+45\,A^4\,a^8\,b^{12}+18\,A^4\,a^6\,b^{14}+15\,A^4\,a^4\,b^{16}+6\,A^4\,a^2\,b^{18}+A^4\,b^{20}-24\,A^3\,B\,a^{11}\,b^9+80\,A^3\,B\,a^9\,b^{11}-24\,A^3\,B\,a^7\,b^{13}+42\,A^2\,B^2\,a^{10}\,b^{10}+42\,A^2\,B^2\,a^6\,b^{14}+30\,A^2\,B^2\,a^4\,b^{16}+12\,A^2\,B^2\,a^2\,b^{18}+2\,A^2\,B^2\,b^{20}+B^4\,a^{12}\,b^8+6\,B^4\,a^{10}\,b^{10}+15\,B^4\,a^8\,b^{12}+20\,B^4\,a^6\,b^{14}+15\,B^4\,a^4\,b^{16}+6\,B^4\,a^2\,b^{18}+B^4\,b^{20}\right)}{d^4}-\frac{A\,\left(\frac{32\,\left(3\,A^3\,a^{10}\,b^8\,d^2-72\,A^3\,a^8\,b^{10}\,d^2-30\,A^3\,a^6\,b^{12}\,d^2+48\,A^3\,a^4\,b^{14}\,d^2+3\,A^3\,a^2\,b^{16}\,d^2-69\,A^2\,B\,a^9\,b^9\,d^2+96\,A^2\,B\,a^7\,b^{11}\,d^2+150\,A^2\,B\,a^5\,b^{13}\,d^2-16\,A^2\,B\,a^3\,b^{15}\,d^2-A^2\,B\,a\,b^{17}\,d^2-9\,A\,B^2\,a^{10}\,b^8\,d^2+72\,A\,B^2\,a^8\,b^{10}\,d^2+46\,A\,B^2\,a^6\,b^{12}\,d^2-32\,A\,B^2\,a^4\,b^{14}\,d^2+3\,A\,B^2\,a^2\,b^{16}\,d^2+3\,B^3\,a^9\,b^9\,d^2+8\,B^3\,a^7\,b^{11}\,d^2+6\,B^3\,a^5\,b^{13}\,d^2-B^3\,a\,b^{17}\,d^2\right)}{d^5}-\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-18\,A^2\,a^7\,b^8\,d^2+102\,A^2\,a^5\,b^{10}\,d^2+10\,A^2\,a^3\,b^{12}\,d^2-38\,A^2\,a\,b^{14}\,d^2+104\,A\,B\,a^6\,b^9\,d^2-160\,A\,B\,a^4\,b^{11}\,d^2-120\,A\,B\,a^2\,b^{13}\,d^2+16\,A\,B\,b^{15}\,d^2+10\,B^2\,a^7\,b^8\,d^2-102\,B^2\,a^5\,b^{10}\,d^2-10\,B^2\,a^3\,b^{12}\,d^2+38\,B^2\,a\,b^{14}\,d^2\right)}{d^4}+\frac{A\,\sqrt{a^5}\,\left(\frac{32\,\left(12\,A\,a^5\,b^8\,d^4+8\,B\,a^4\,b^9\,d^4+16\,A\,a^3\,b^{10}\,d^4+8\,B\,a^2\,b^{11}\,d^4+4\,A\,a\,b^{12}\,d^4\right)}{d^5}+\frac{32\,A\,\sqrt{a^5}\,\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^5}\right)}{d}\right)}{d}\right)\,\sqrt{a^5}}{d}\right)\,\sqrt{a^5}}{d}}\right)\,\sqrt{a^5}\,2{}\mathrm{i}}{d}","Not used",1,"((2*A*b^2 - 2*B*a*b)/d + (6*B*a*b)/d)*(a + b*tan(c + d*x))^(1/2) - atan(((((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (64*(A^5*a^3*b^20 + 6*A^5*a^5*b^18 + 18*A^5*a^7*b^16 + 28*A^5*a^9*b^14 + 21*A^5*a^11*b^12 + 6*A^5*a^13*b^10 - A^2*B^3*a^6*b^17 + 6*A^2*B^3*a^10*b^13 + 8*A^2*B^3*a^12*b^11 + 3*A^2*B^3*a^14*b^9 + 2*A^3*B^2*a^3*b^20 + 12*A^3*B^2*a^5*b^18 + 33*A^3*B^2*a^7*b^16 + 48*A^3*B^2*a^9*b^14 + 36*A^3*B^2*a^11*b^12 + 12*A^3*B^2*a^13*b^10 + A^3*B^2*a^15*b^8 + A*B^4*a^3*b^20 + 6*A*B^4*a^5*b^18 + 15*A*B^4*a^7*b^16 + 20*A*B^4*a^9*b^14 + 15*A*B^4*a^11*b^12 + 6*A*B^4*a^13*b^10 + A*B^4*a^15*b^8 - A^4*B*a^6*b^17 + 6*A^4*B*a^10*b^13 + 8*A^4*B*a^12*b^11 + 3*A^4*B*a^14*b^9))/d^5 + (((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i - atan(((((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (64*(A^5*a^3*b^20 + 6*A^5*a^5*b^18 + 18*A^5*a^7*b^16 + 28*A^5*a^9*b^14 + 21*A^5*a^11*b^12 + 6*A^5*a^13*b^10 - A^2*B^3*a^6*b^17 + 6*A^2*B^3*a^10*b^13 + 8*A^2*B^3*a^12*b^11 + 3*A^2*B^3*a^14*b^9 + 2*A^3*B^2*a^3*b^20 + 12*A^3*B^2*a^5*b^18 + 33*A^3*B^2*a^7*b^16 + 48*A^3*B^2*a^9*b^14 + 36*A^3*B^2*a^11*b^12 + 12*A^3*B^2*a^13*b^10 + A^3*B^2*a^15*b^8 + A*B^4*a^3*b^20 + 6*A*B^4*a^5*b^18 + 15*A*B^4*a^7*b^16 + 20*A*B^4*a^9*b^14 + 15*A*B^4*a^11*b^12 + 6*A*B^4*a^13*b^10 + A*B^4*a^15*b^8 - A^4*B*a^6*b^17 + 6*A^4*B*a^10*b^13 + 8*A^4*B*a^12*b^11 + 3*A^4*B*a^14*b^9))/d^5 + (((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i + (2*B*b*(a + b*tan(c + d*x))^(3/2))/(3*d) + (A*atan(((A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4 + (A*((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 + (A*(a^5)^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4 - (A*(a^5)^(1/2)*((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 - (32*A*(a^5)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d)*(a^5)^(1/2))/d)*(a^5)^(1/2)*1i)/d + (A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4 - (A*((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (A*(a^5)^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4 + (A*(a^5)^(1/2)*((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 + (32*A*(a^5)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d)*(a^5)^(1/2))/d)*(a^5)^(1/2)*1i)/d)/((64*(A^5*a^3*b^20 + 6*A^5*a^5*b^18 + 18*A^5*a^7*b^16 + 28*A^5*a^9*b^14 + 21*A^5*a^11*b^12 + 6*A^5*a^13*b^10 - A^2*B^3*a^6*b^17 + 6*A^2*B^3*a^10*b^13 + 8*A^2*B^3*a^12*b^11 + 3*A^2*B^3*a^14*b^9 + 2*A^3*B^2*a^3*b^20 + 12*A^3*B^2*a^5*b^18 + 33*A^3*B^2*a^7*b^16 + 48*A^3*B^2*a^9*b^14 + 36*A^3*B^2*a^11*b^12 + 12*A^3*B^2*a^13*b^10 + A^3*B^2*a^15*b^8 + A*B^4*a^3*b^20 + 6*A*B^4*a^5*b^18 + 15*A*B^4*a^7*b^16 + 20*A*B^4*a^9*b^14 + 15*A*B^4*a^11*b^12 + 6*A*B^4*a^13*b^10 + A*B^4*a^15*b^8 - A^4*B*a^6*b^17 + 6*A^4*B*a^10*b^13 + 8*A^4*B*a^12*b^11 + 3*A^4*B*a^14*b^9))/d^5 - (A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4 + (A*((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 + (A*(a^5)^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4 - (A*(a^5)^(1/2)*((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 - (32*A*(a^5)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d)*(a^5)^(1/2))/d)*(a^5)^(1/2))/d + (A*((32*(a + b*tan(c + d*x))^(1/2)*(A^4*b^20 + B^4*b^20 + 2*A^2*B^2*b^20 + 6*A^4*a^2*b^18 + 15*A^4*a^4*b^16 + 18*A^4*a^6*b^14 + 45*A^4*a^8*b^12 - 24*A^4*a^10*b^10 + 3*A^4*a^12*b^8 + 6*B^4*a^2*b^18 + 15*B^4*a^4*b^16 + 20*B^4*a^6*b^14 + 15*B^4*a^8*b^12 + 6*B^4*a^10*b^10 + B^4*a^12*b^8 + 12*A^2*B^2*a^2*b^18 + 30*A^2*B^2*a^4*b^16 + 42*A^2*B^2*a^6*b^14 + 42*A^2*B^2*a^10*b^10 - 24*A^3*B*a^7*b^13 + 80*A^3*B*a^9*b^11 - 24*A^3*B*a^11*b^9))/d^4 - (A*((32*(3*A^3*a^2*b^16*d^2 + 48*A^3*a^4*b^14*d^2 - 30*A^3*a^6*b^12*d^2 - 72*A^3*a^8*b^10*d^2 + 3*A^3*a^10*b^8*d^2 + 6*B^3*a^5*b^13*d^2 + 8*B^3*a^7*b^11*d^2 + 3*B^3*a^9*b^9*d^2 - B^3*a*b^17*d^2 - A^2*B*a*b^17*d^2 + 3*A*B^2*a^2*b^16*d^2 - 32*A*B^2*a^4*b^14*d^2 + 46*A*B^2*a^6*b^12*d^2 + 72*A*B^2*a^8*b^10*d^2 - 9*A*B^2*a^10*b^8*d^2 - 16*A^2*B*a^3*b^15*d^2 + 150*A^2*B*a^5*b^13*d^2 + 96*A^2*B*a^7*b^11*d^2 - 69*A^2*B*a^9*b^9*d^2))/d^5 - (A*(a^5)^(1/2)*((32*(a + b*tan(c + d*x))^(1/2)*(10*A^2*a^3*b^12*d^2 + 102*A^2*a^5*b^10*d^2 - 18*A^2*a^7*b^8*d^2 - 10*B^2*a^3*b^12*d^2 - 102*B^2*a^5*b^10*d^2 + 10*B^2*a^7*b^8*d^2 + 16*A*B*b^15*d^2 - 38*A^2*a*b^14*d^2 + 38*B^2*a*b^14*d^2 - 120*A*B*a^2*b^13*d^2 - 160*A*B*a^4*b^11*d^2 + 104*A*B*a^6*b^9*d^2))/d^4 + (A*(a^5)^(1/2)*((32*(4*A*a*b^12*d^4 + 16*A*a^3*b^10*d^4 + 12*A*a^5*b^8*d^4 + 8*B*a^2*b^11*d^4 + 8*B*a^4*b^9*d^4))/d^5 + (32*A*(a^5)^(1/2)*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/d))/d)*(a^5)^(1/2))/d)*(a^5)^(1/2))/d))*(a^5)^(1/2)*2i)/d","B"
336,1,31186,196,9.767834,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\left(10\,A^5\,a^{14}\,b^9-15\,A^5\,a^{12}\,b^{11}-50\,A^5\,a^{10}\,b^{13}+50\,A^5\,a^8\,b^{15}+150\,A^5\,a^6\,b^{17}+85\,A^5\,a^4\,b^{19}+10\,A^5\,a^2\,b^{21}+4\,A^4\,B\,a^{15}\,b^8-61\,A^4\,B\,a^{13}\,b^{10}-100\,A^4\,B\,a^{11}\,b^{12}+110\,A^4\,B\,a^9\,b^{14}+260\,A^4\,B\,a^7\,b^{16}+119\,A^4\,B\,a^5\,b^{18}+4\,A^4\,B\,a^3\,b^{20}-12\,A^3\,B^2\,a^{14}\,b^9+13\,A^3\,B^2\,a^{12}\,b^{11}+196\,A^3\,B^2\,a^{10}\,b^{13}+410\,A^3\,B^2\,a^8\,b^{15}+364\,A^3\,B^2\,a^6\,b^{17}+145\,A^3\,B^2\,a^4\,b^{19}+20\,A^3\,B^2\,a^2\,b^{21}+4\,A^2\,B^3\,a^{15}\,b^8-37\,A^2\,B^3\,a^{13}\,b^{10}-16\,A^2\,B^3\,a^{11}\,b^{12}+222\,A^2\,B^3\,a^9\,b^{14}+332\,A^2\,B^3\,a^7\,b^{16}+143\,A^2\,B^3\,a^5\,b^{18}+8\,A^2\,B^3\,a^3\,b^{20}-22\,A\,B^4\,a^{14}\,b^9+28\,A\,B^4\,a^{12}\,b^{11}+246\,A\,B^4\,a^{10}\,b^{13}+360\,A\,B^4\,a^8\,b^{15}+214\,A\,B^4\,a^6\,b^{17}+60\,A\,B^4\,a^4\,b^{19}+10\,A\,B^4\,a^2\,b^{21}+24\,B^5\,a^{13}\,b^{10}+84\,B^5\,a^{11}\,b^{12}+112\,B^5\,a^9\,b^{14}+72\,B^5\,a^7\,b^{16}+24\,B^5\,a^5\,b^{18}+4\,B^5\,a^3\,b^{20}\right)}{d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\left(\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\left(\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{16\,\left(10\,A^5\,a^{14}\,b^9-15\,A^5\,a^{12}\,b^{11}-50\,A^5\,a^{10}\,b^{13}+50\,A^5\,a^8\,b^{15}+150\,A^5\,a^6\,b^{17}+85\,A^5\,a^4\,b^{19}+10\,A^5\,a^2\,b^{21}+4\,A^4\,B\,a^{15}\,b^8-61\,A^4\,B\,a^{13}\,b^{10}-100\,A^4\,B\,a^{11}\,b^{12}+110\,A^4\,B\,a^9\,b^{14}+260\,A^4\,B\,a^7\,b^{16}+119\,A^4\,B\,a^5\,b^{18}+4\,A^4\,B\,a^3\,b^{20}-12\,A^3\,B^2\,a^{14}\,b^9+13\,A^3\,B^2\,a^{12}\,b^{11}+196\,A^3\,B^2\,a^{10}\,b^{13}+410\,A^3\,B^2\,a^8\,b^{15}+364\,A^3\,B^2\,a^6\,b^{17}+145\,A^3\,B^2\,a^4\,b^{19}+20\,A^3\,B^2\,a^2\,b^{21}+4\,A^2\,B^3\,a^{15}\,b^8-37\,A^2\,B^3\,a^{13}\,b^{10}-16\,A^2\,B^3\,a^{11}\,b^{12}+222\,A^2\,B^3\,a^9\,b^{14}+332\,A^2\,B^3\,a^7\,b^{16}+143\,A^2\,B^3\,a^5\,b^{18}+8\,A^2\,B^3\,a^3\,b^{20}-22\,A\,B^4\,a^{14}\,b^9+28\,A\,B^4\,a^{12}\,b^{11}+246\,A\,B^4\,a^{10}\,b^{13}+360\,A\,B^4\,a^8\,b^{15}+214\,A\,B^4\,a^6\,b^{17}+60\,A\,B^4\,a^4\,b^{19}+10\,A\,B^4\,a^2\,b^{21}+24\,B^5\,a^{13}\,b^{10}+84\,B^5\,a^{11}\,b^{12}+112\,B^5\,a^9\,b^{14}+72\,B^5\,a^7\,b^{16}+24\,B^5\,a^5\,b^{18}+4\,B^5\,a^3\,b^{20}\right)}{d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\frac{2\,B\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{\mathrm{atan}\left(\frac{\frac{\left(5\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}+\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}+\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,d^4\right)}{d^5}-\frac{8\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}}{2\,d}\right)}{2\,d}\right)\,\sqrt{a^3}\,1{}\mathrm{i}}{2\,d}+\frac{\left(5\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}-\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}+\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}-\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,d^4\right)}{d^5}+\frac{8\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}}{2\,d}\right)}{2\,d}\right)\,\sqrt{a^3}\,1{}\mathrm{i}}{2\,d}}{\frac{16\,\left(10\,A^5\,a^{14}\,b^9-15\,A^5\,a^{12}\,b^{11}-50\,A^5\,a^{10}\,b^{13}+50\,A^5\,a^8\,b^{15}+150\,A^5\,a^6\,b^{17}+85\,A^5\,a^4\,b^{19}+10\,A^5\,a^2\,b^{21}+4\,A^4\,B\,a^{15}\,b^8-61\,A^4\,B\,a^{13}\,b^{10}-100\,A^4\,B\,a^{11}\,b^{12}+110\,A^4\,B\,a^9\,b^{14}+260\,A^4\,B\,a^7\,b^{16}+119\,A^4\,B\,a^5\,b^{18}+4\,A^4\,B\,a^3\,b^{20}-12\,A^3\,B^2\,a^{14}\,b^9+13\,A^3\,B^2\,a^{12}\,b^{11}+196\,A^3\,B^2\,a^{10}\,b^{13}+410\,A^3\,B^2\,a^8\,b^{15}+364\,A^3\,B^2\,a^6\,b^{17}+145\,A^3\,B^2\,a^4\,b^{19}+20\,A^3\,B^2\,a^2\,b^{21}+4\,A^2\,B^3\,a^{15}\,b^8-37\,A^2\,B^3\,a^{13}\,b^{10}-16\,A^2\,B^3\,a^{11}\,b^{12}+222\,A^2\,B^3\,a^9\,b^{14}+332\,A^2\,B^3\,a^7\,b^{16}+143\,A^2\,B^3\,a^5\,b^{18}+8\,A^2\,B^3\,a^3\,b^{20}-22\,A\,B^4\,a^{14}\,b^9+28\,A\,B^4\,a^{12}\,b^{11}+246\,A\,B^4\,a^{10}\,b^{13}+360\,A\,B^4\,a^8\,b^{15}+214\,A\,B^4\,a^6\,b^{17}+60\,A\,B^4\,a^4\,b^{19}+10\,A\,B^4\,a^2\,b^{21}+24\,B^5\,a^{13}\,b^{10}+84\,B^5\,a^{11}\,b^{12}+112\,B^5\,a^9\,b^{14}+72\,B^5\,a^7\,b^{16}+24\,B^5\,a^5\,b^{18}+4\,B^5\,a^3\,b^{20}\right)}{d^5}-\frac{\left(5\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}+\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}-\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}+\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,d^4\right)}{d^5}-\frac{8\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}}{2\,d}\right)}{2\,d}\right)\,\sqrt{a^3}}{2\,d}+\frac{\left(5\,A\,b+2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^{12}\,b^8-13\,A^4\,a^{10}\,b^{10}+405\,A^4\,a^8\,b^{12}-335\,A^4\,a^6\,b^{14}+55\,A^4\,a^4\,b^{16}+12\,A^4\,a^2\,b^{18}+2\,A^4\,b^{20}-20\,A^3\,B\,a^{11}\,b^9+600\,A^3\,B\,a^9\,b^{11}-1300\,A^3\,B\,a^7\,b^{13}+320\,A^3\,B\,a^5\,b^{15}+349\,A^2\,B^2\,a^{10}\,b^{10}-1175\,A^2\,B^2\,a^8\,b^{12}+699\,A^2\,B^2\,a^6\,b^{14}+35\,A^2\,B^2\,a^4\,b^{16}+24\,A^2\,B^2\,a^2\,b^{18}+4\,A^2\,B^2\,b^{20}+68\,A\,B^3\,a^{11}\,b^9-460\,A\,B^3\,a^9\,b^{11}+348\,A\,B^3\,a^7\,b^{13}-20\,A\,B^3\,a^5\,b^{15}+6\,B^4\,a^{12}\,b^8-48\,B^4\,a^{10}\,b^{10}+90\,B^4\,a^8\,b^{12}+36\,B^4\,a^6\,b^{14}+30\,B^4\,a^4\,b^{16}+12\,B^4\,a^2\,b^{18}+2\,B^4\,b^{20}\right)}{d^4}-\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(-92\,A^3\,a^9\,b^9\,d^2+488\,A^3\,a^7\,b^{11}\,d^2+176\,A^3\,a^5\,b^{13}\,d^2-400\,A^3\,a^3\,b^{15}\,d^2+4\,A^3\,a\,b^{17}\,d^2-36\,A^2\,B\,a^{10}\,b^8\,d^2+828\,A^2\,B\,a^8\,b^{10}\,d^2-776\,A^2\,B\,a^6\,b^{12}\,d^2-1468\,A^2\,B\,a^4\,b^{14}\,d^2+172\,A^2\,B\,a^2\,b^{16}\,d^2+276\,A\,B^2\,a^9\,b^9\,d^2-1104\,A\,B^2\,a^7\,b^{11}\,d^2-920\,A\,B^2\,a^5\,b^{13}\,d^2+464\,A\,B^2\,a^3\,b^{15}\,d^2+4\,A\,B^2\,a\,b^{17}\,d^2+12\,B^3\,a^{10}\,b^8\,d^2-288\,B^3\,a^8\,b^{10}\,d^2-120\,B^3\,a^6\,b^{12}\,d^2+192\,B^3\,a^4\,b^{14}\,d^2+12\,B^3\,a^2\,b^{16}\,d^2\right)}{d^5}+\frac{\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-20\,A^2\,a^7\,b^8\,d^2+304\,A^2\,a^5\,b^{10}\,d^2+20\,A^2\,a^3\,b^{12}\,d^2-76\,A^2\,a\,b^{14}\,d^2+288\,A\,B\,a^6\,b^9\,d^2-320\,A\,B\,a^4\,b^{11}\,d^2-240\,A\,B\,a^2\,b^{13}\,d^2+32\,A\,B\,b^{15}\,d^2+36\,B^2\,a^7\,b^8\,d^2-204\,B^2\,a^5\,b^{10}\,d^2-20\,B^2\,a^3\,b^{12}\,d^2+76\,B^2\,a\,b^{14}\,d^2\right)}{d^4}-\frac{\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(\frac{8\,\left(48\,B\,a^5\,b^8\,d^4+128\,A\,a^4\,b^9\,d^4+64\,B\,a^3\,b^{10}\,d^4+128\,A\,a^2\,b^{11}\,d^4+16\,B\,a\,b^{12}\,d^4\right)}{d^5}+\frac{8\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,\left(48\,a^2\,b^8\,d^4+32\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^5}\right)}{2\,d}\right)\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}}{2\,d}\right)}{2\,d}\right)\,\sqrt{a^3}}{2\,d}}\right)\,\left(5\,A\,b+2\,B\,a\right)\,\sqrt{a^3}\,1{}\mathrm{i}}{d}+\frac{A\,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)}","Not used",1,"(2*B*b^2*(a + b*tan(c + d*x))^(1/2))/d - atan(((((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(10*A^5*a^2*b^21 + 85*A^5*a^4*b^19 + 150*A^5*a^6*b^17 + 50*A^5*a^8*b^15 - 50*A^5*a^10*b^13 - 15*A^5*a^12*b^11 + 10*A^5*a^14*b^9 + 4*B^5*a^3*b^20 + 24*B^5*a^5*b^18 + 72*B^5*a^7*b^16 + 112*B^5*a^9*b^14 + 84*B^5*a^11*b^12 + 24*B^5*a^13*b^10 + 8*A^2*B^3*a^3*b^20 + 143*A^2*B^3*a^5*b^18 + 332*A^2*B^3*a^7*b^16 + 222*A^2*B^3*a^9*b^14 - 16*A^2*B^3*a^11*b^12 - 37*A^2*B^3*a^13*b^10 + 4*A^2*B^3*a^15*b^8 + 20*A^3*B^2*a^2*b^21 + 145*A^3*B^2*a^4*b^19 + 364*A^3*B^2*a^6*b^17 + 410*A^3*B^2*a^8*b^15 + 196*A^3*B^2*a^10*b^13 + 13*A^3*B^2*a^12*b^11 - 12*A^3*B^2*a^14*b^9 + 10*A*B^4*a^2*b^21 + 60*A*B^4*a^4*b^19 + 214*A*B^4*a^6*b^17 + 360*A*B^4*a^8*b^15 + 246*A*B^4*a^10*b^13 + 28*A*B^4*a^12*b^11 - 22*A*B^4*a^14*b^9 + 4*A^4*B*a^3*b^20 + 119*A^4*B*a^5*b^18 + 260*A^4*B*a^7*b^16 + 110*A^4*B*a^9*b^14 - 100*A^4*B*a^11*b^12 - 61*A^4*B*a^13*b^10 + 4*A^4*B*a^15*b^8))/d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i - atan(((((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (16*(10*A^5*a^2*b^21 + 85*A^5*a^4*b^19 + 150*A^5*a^6*b^17 + 50*A^5*a^8*b^15 - 50*A^5*a^10*b^13 - 15*A^5*a^12*b^11 + 10*A^5*a^14*b^9 + 4*B^5*a^3*b^20 + 24*B^5*a^5*b^18 + 72*B^5*a^7*b^16 + 112*B^5*a^9*b^14 + 84*B^5*a^11*b^12 + 24*B^5*a^13*b^10 + 8*A^2*B^3*a^3*b^20 + 143*A^2*B^3*a^5*b^18 + 332*A^2*B^3*a^7*b^16 + 222*A^2*B^3*a^9*b^14 - 16*A^2*B^3*a^11*b^12 - 37*A^2*B^3*a^13*b^10 + 4*A^2*B^3*a^15*b^8 + 20*A^3*B^2*a^2*b^21 + 145*A^3*B^2*a^4*b^19 + 364*A^3*B^2*a^6*b^17 + 410*A^3*B^2*a^8*b^15 + 196*A^3*B^2*a^10*b^13 + 13*A^3*B^2*a^12*b^11 - 12*A^3*B^2*a^14*b^9 + 10*A*B^4*a^2*b^21 + 60*A*B^4*a^4*b^19 + 214*A*B^4*a^6*b^17 + 360*A*B^4*a^8*b^15 + 246*A*B^4*a^10*b^13 + 28*A*B^4*a^12*b^11 - 22*A*B^4*a^14*b^9 + 4*A^4*B*a^3*b^20 + 119*A^4*B*a^5*b^18 + 260*A^4*B*a^7*b^16 + 110*A^4*B*a^9*b^14 - 100*A^4*B*a^11*b^12 - 61*A^4*B*a^13*b^10 + 4*A^4*B*a^15*b^8))/d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i + (atan((((5*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4 + ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4 + ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*d^4))/d^5 - (8*(5*A*b + 2*B*a)*(a^3)^(1/2)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d))*(5*A*b + 2*B*a)*(a^3)^(1/2))/(2*d)))/(2*d))*(a^3)^(1/2)*1i)/(2*d) + ((5*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4 - ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 + (((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4 - ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*d^4))/d^5 + (8*(5*A*b + 2*B*a)*(a^3)^(1/2)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d))*(5*A*b + 2*B*a)*(a^3)^(1/2))/(2*d)))/(2*d))*(a^3)^(1/2)*1i)/(2*d))/((16*(10*A^5*a^2*b^21 + 85*A^5*a^4*b^19 + 150*A^5*a^6*b^17 + 50*A^5*a^8*b^15 - 50*A^5*a^10*b^13 - 15*A^5*a^12*b^11 + 10*A^5*a^14*b^9 + 4*B^5*a^3*b^20 + 24*B^5*a^5*b^18 + 72*B^5*a^7*b^16 + 112*B^5*a^9*b^14 + 84*B^5*a^11*b^12 + 24*B^5*a^13*b^10 + 8*A^2*B^3*a^3*b^20 + 143*A^2*B^3*a^5*b^18 + 332*A^2*B^3*a^7*b^16 + 222*A^2*B^3*a^9*b^14 - 16*A^2*B^3*a^11*b^12 - 37*A^2*B^3*a^13*b^10 + 4*A^2*B^3*a^15*b^8 + 20*A^3*B^2*a^2*b^21 + 145*A^3*B^2*a^4*b^19 + 364*A^3*B^2*a^6*b^17 + 410*A^3*B^2*a^8*b^15 + 196*A^3*B^2*a^10*b^13 + 13*A^3*B^2*a^12*b^11 - 12*A^3*B^2*a^14*b^9 + 10*A*B^4*a^2*b^21 + 60*A*B^4*a^4*b^19 + 214*A*B^4*a^6*b^17 + 360*A*B^4*a^8*b^15 + 246*A*B^4*a^10*b^13 + 28*A*B^4*a^12*b^11 - 22*A*B^4*a^14*b^9 + 4*A^4*B*a^3*b^20 + 119*A^4*B*a^5*b^18 + 260*A^4*B*a^7*b^16 + 110*A^4*B*a^9*b^14 - 100*A^4*B*a^11*b^12 - 61*A^4*B*a^13*b^10 + 4*A^4*B*a^15*b^8))/d^5 - ((5*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4 + ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 - (((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4 + ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*d^4))/d^5 - (8*(5*A*b + 2*B*a)*(a^3)^(1/2)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d))*(5*A*b + 2*B*a)*(a^3)^(1/2))/(2*d)))/(2*d))*(a^3)^(1/2))/(2*d) + ((5*A*b + 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(2*A^4*b^20 + 2*B^4*b^20 + 4*A^2*B^2*b^20 + 12*A^4*a^2*b^18 + 55*A^4*a^4*b^16 - 335*A^4*a^6*b^14 + 405*A^4*a^8*b^12 - 13*A^4*a^10*b^10 + 2*A^4*a^12*b^8 + 12*B^4*a^2*b^18 + 30*B^4*a^4*b^16 + 36*B^4*a^6*b^14 + 90*B^4*a^8*b^12 - 48*B^4*a^10*b^10 + 6*B^4*a^12*b^8 + 24*A^2*B^2*a^2*b^18 + 35*A^2*B^2*a^4*b^16 + 699*A^2*B^2*a^6*b^14 - 1175*A^2*B^2*a^8*b^12 + 349*A^2*B^2*a^10*b^10 - 20*A*B^3*a^5*b^15 + 348*A*B^3*a^7*b^13 - 460*A*B^3*a^9*b^11 + 68*A*B^3*a^11*b^9 + 320*A^3*B*a^5*b^15 - 1300*A^3*B*a^7*b^13 + 600*A^3*B*a^9*b^11 - 20*A^3*B*a^11*b^9))/d^4 - ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(176*A^3*a^5*b^13*d^2 - 400*A^3*a^3*b^15*d^2 + 488*A^3*a^7*b^11*d^2 - 92*A^3*a^9*b^9*d^2 + 12*B^3*a^2*b^16*d^2 + 192*B^3*a^4*b^14*d^2 - 120*B^3*a^6*b^12*d^2 - 288*B^3*a^8*b^10*d^2 + 12*B^3*a^10*b^8*d^2 + 4*A^3*a*b^17*d^2 + 4*A*B^2*a*b^17*d^2 + 464*A*B^2*a^3*b^15*d^2 - 920*A*B^2*a^5*b^13*d^2 - 1104*A*B^2*a^7*b^11*d^2 + 276*A*B^2*a^9*b^9*d^2 + 172*A^2*B*a^2*b^16*d^2 - 1468*A^2*B*a^4*b^14*d^2 - 776*A^2*B*a^6*b^12*d^2 + 828*A^2*B*a^8*b^10*d^2 - 36*A^2*B*a^10*b^8*d^2))/d^5 + (((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^12*d^2 + 304*A^2*a^5*b^10*d^2 - 20*A^2*a^7*b^8*d^2 - 20*B^2*a^3*b^12*d^2 - 204*B^2*a^5*b^10*d^2 + 36*B^2*a^7*b^8*d^2 + 32*A*B*b^15*d^2 - 76*A^2*a*b^14*d^2 + 76*B^2*a*b^14*d^2 - 240*A*B*a^2*b^13*d^2 - 320*A*B*a^4*b^11*d^2 + 288*A*B*a^6*b^9*d^2))/d^4 - ((5*A*b + 2*B*a)*(a^3)^(1/2)*((8*(16*B*a*b^12*d^4 + 128*A*a^2*b^11*d^4 + 128*A*a^4*b^9*d^4 + 64*B*a^3*b^10*d^4 + 48*B*a^5*b^8*d^4))/d^5 + (8*(5*A*b + 2*B*a)*(a^3)^(1/2)*(32*b^10*d^4 + 48*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2))/d^5))/(2*d))*(5*A*b + 2*B*a)*(a^3)^(1/2))/(2*d)))/(2*d))*(a^3)^(1/2))/(2*d)))*(5*A*b + 2*B*a)*(a^3)^(1/2)*1i)/d + (A*a^2*b*(a + b*tan(c + d*x))^(1/2))/(a*d - d*(a + b*tan(c + d*x)))","B"
337,1,32561,220,9.798140,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\mathrm{atan}\left(-\frac{\left(\left(\frac{-192\,A^3\,a^{10}\,b^8\,d^2+4608\,A^3\,a^8\,b^{10}\,d^2-5820\,A^3\,a^6\,b^{12}\,d^2-6912\,A^3\,a^4\,b^{14}\,d^2+3708\,A^3\,a^2\,b^{16}\,d^2+4416\,A^2\,B\,a^9\,b^9\,d^2-22944\,A^2\,B\,a^7\,b^{11}\,d^2-5000\,A^2\,B\,a^5\,b^{13}\,d^2+20504\,A^2\,B\,a^3\,b^{15}\,d^2-1856\,A^2\,B\,a\,b^{17}\,d^2+576\,A\,B^2\,a^{10}\,b^8\,d^2-14208\,A\,B^2\,a^8\,b^{10}\,d^2+16256\,A\,B^2\,a^6\,b^{12}\,d^2+23488\,A\,B^2\,a^4\,b^{14}\,d^2-7552\,A\,B^2\,a^2\,b^{16}\,d^2-1472\,B^3\,a^9\,b^9\,d^2+7808\,B^3\,a^7\,b^{11}\,d^2+2816\,B^3\,a^5\,b^{13}\,d^2-6400\,B^3\,a^3\,b^{15}\,d^2+64\,B^3\,a\,b^{17}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^5\,b^8\,d^4+2048\,B\,a^4\,b^9\,d^4+896\,A\,a^3\,b^{10}\,d^4+2048\,B\,a^2\,b^{11}\,d^4+1664\,A\,a\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{-192\,A^3\,a^{10}\,b^8\,d^2+4608\,A^3\,a^8\,b^{10}\,d^2-5820\,A^3\,a^6\,b^{12}\,d^2-6912\,A^3\,a^4\,b^{14}\,d^2+3708\,A^3\,a^2\,b^{16}\,d^2+4416\,A^2\,B\,a^9\,b^9\,d^2-22944\,A^2\,B\,a^7\,b^{11}\,d^2-5000\,A^2\,B\,a^5\,b^{13}\,d^2+20504\,A^2\,B\,a^3\,b^{15}\,d^2-1856\,A^2\,B\,a\,b^{17}\,d^2+576\,A\,B^2\,a^{10}\,b^8\,d^2-14208\,A\,B^2\,a^8\,b^{10}\,d^2+16256\,A\,B^2\,a^6\,b^{12}\,d^2+23488\,A\,B^2\,a^4\,b^{14}\,d^2-7552\,A\,B^2\,a^2\,b^{16}\,d^2-1472\,B^3\,a^9\,b^9\,d^2+7808\,B^3\,a^7\,b^{11}\,d^2+2816\,B^3\,a^5\,b^{13}\,d^2-6400\,B^3\,a^3\,b^{15}\,d^2+64\,B^3\,a\,b^{17}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^5\,b^8\,d^4+2048\,B\,a^4\,b^9\,d^4+896\,A\,a^3\,b^{10}\,d^4+2048\,B\,a^2\,b^{11}\,d^4+1664\,A\,a\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{-192\,A^3\,a^{10}\,b^8\,d^2+4608\,A^3\,a^8\,b^{10}\,d^2-5820\,A^3\,a^6\,b^{12}\,d^2-6912\,A^3\,a^4\,b^{14}\,d^2+3708\,A^3\,a^2\,b^{16}\,d^2+4416\,A^2\,B\,a^9\,b^9\,d^2-22944\,A^2\,B\,a^7\,b^{11}\,d^2-5000\,A^2\,B\,a^5\,b^{13}\,d^2+20504\,A^2\,B\,a^3\,b^{15}\,d^2-1856\,A^2\,B\,a\,b^{17}\,d^2+576\,A\,B^2\,a^{10}\,b^8\,d^2-14208\,A\,B^2\,a^8\,b^{10}\,d^2+16256\,A\,B^2\,a^6\,b^{12}\,d^2+23488\,A\,B^2\,a^4\,b^{14}\,d^2-7552\,A\,B^2\,a^2\,b^{16}\,d^2-1472\,B^3\,a^9\,b^9\,d^2+7808\,B^3\,a^7\,b^{11}\,d^2+2816\,B^3\,a^5\,b^{13}\,d^2-6400\,B^3\,a^3\,b^{15}\,d^2+64\,B^3\,a\,b^{17}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^5\,b^8\,d^4+2048\,B\,a^4\,b^9\,d^4+896\,A\,a^3\,b^{10}\,d^4+2048\,B\,a^2\,b^{11}\,d^4+1664\,A\,a\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}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^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(-\frac{\left(\left(\frac{-192\,A^3\,a^{10}\,b^8\,d^2+4608\,A^3\,a^8\,b^{10}\,d^2-5820\,A^3\,a^6\,b^{12}\,d^2-6912\,A^3\,a^4\,b^{14}\,d^2+3708\,A^3\,a^2\,b^{16}\,d^2+4416\,A^2\,B\,a^9\,b^9\,d^2-22944\,A^2\,B\,a^7\,b^{11}\,d^2-5000\,A^2\,B\,a^5\,b^{13}\,d^2+20504\,A^2\,B\,a^3\,b^{15}\,d^2-1856\,A^2\,B\,a\,b^{17}\,d^2+576\,A\,B^2\,a^{10}\,b^8\,d^2-14208\,A\,B^2\,a^8\,b^{10}\,d^2+16256\,A\,B^2\,a^6\,b^{12}\,d^2+23488\,A\,B^2\,a^4\,b^{14}\,d^2-7552\,A\,B^2\,a^2\,b^{16}\,d^2-1472\,B^3\,a^9\,b^9\,d^2+7808\,B^3\,a^7\,b^{11}\,d^2+2816\,B^3\,a^5\,b^{13}\,d^2-6400\,B^3\,a^3\,b^{15}\,d^2+64\,B^3\,a\,b^{17}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^5\,b^8\,d^4+2048\,B\,a^4\,b^9\,d^4+896\,A\,a^3\,b^{10}\,d^4+2048\,B\,a^2\,b^{11}\,d^4+1664\,A\,a\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\frac{-192\,A^3\,a^{10}\,b^8\,d^2+4608\,A^3\,a^8\,b^{10}\,d^2-5820\,A^3\,a^6\,b^{12}\,d^2-6912\,A^3\,a^4\,b^{14}\,d^2+3708\,A^3\,a^2\,b^{16}\,d^2+4416\,A^2\,B\,a^9\,b^9\,d^2-22944\,A^2\,B\,a^7\,b^{11}\,d^2-5000\,A^2\,B\,a^5\,b^{13}\,d^2+20504\,A^2\,B\,a^3\,b^{15}\,d^2-1856\,A^2\,B\,a\,b^{17}\,d^2+576\,A\,B^2\,a^{10}\,b^8\,d^2-14208\,A\,B^2\,a^8\,b^{10}\,d^2+16256\,A\,B^2\,a^6\,b^{12}\,d^2+23488\,A\,B^2\,a^4\,b^{14}\,d^2-7552\,A\,B^2\,a^2\,b^{16}\,d^2-1472\,B^3\,a^9\,b^9\,d^2+7808\,B^3\,a^7\,b^{11}\,d^2+2816\,B^3\,a^5\,b^{13}\,d^2-6400\,B^3\,a^3\,b^{15}\,d^2+64\,B^3\,a\,b^{17}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^5\,b^8\,d^4+2048\,B\,a^4\,b^9\,d^4+896\,A\,a^3\,b^{10}\,d^4+2048\,B\,a^2\,b^{11}\,d^4+1664\,A\,a\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\frac{-192\,A^3\,a^{10}\,b^8\,d^2+4608\,A^3\,a^8\,b^{10}\,d^2-5820\,A^3\,a^6\,b^{12}\,d^2-6912\,A^3\,a^4\,b^{14}\,d^2+3708\,A^3\,a^2\,b^{16}\,d^2+4416\,A^2\,B\,a^9\,b^9\,d^2-22944\,A^2\,B\,a^7\,b^{11}\,d^2-5000\,A^2\,B\,a^5\,b^{13}\,d^2+20504\,A^2\,B\,a^3\,b^{15}\,d^2-1856\,A^2\,B\,a\,b^{17}\,d^2+576\,A\,B^2\,a^{10}\,b^8\,d^2-14208\,A\,B^2\,a^8\,b^{10}\,d^2+16256\,A\,B^2\,a^6\,b^{12}\,d^2+23488\,A\,B^2\,a^4\,b^{14}\,d^2-7552\,A\,B^2\,a^2\,b^{16}\,d^2-1472\,B^3\,a^9\,b^9\,d^2+7808\,B^3\,a^7\,b^{11}\,d^2+2816\,B^3\,a^5\,b^{13}\,d^2-6400\,B^3\,a^3\,b^{15}\,d^2+64\,B^3\,a\,b^{17}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^5\,b^8\,d^4+2048\,B\,a^4\,b^9\,d^4+896\,A\,a^3\,b^{10}\,d^4+2048\,B\,a^2\,b^{11}\,d^4+1664\,A\,a\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{-504\,A^5\,a^{13}\,b^{10}-399\,A^5\,a^{11}\,b^{12}+1448\,A^5\,a^9\,b^{14}+1818\,A^5\,a^7\,b^{16}+336\,A^5\,a^5\,b^{18}-19\,A^5\,a^3\,b^{20}+120\,A^5\,a\,b^{22}-352\,A^4\,B\,a^{14}\,b^9+1768\,A^4\,B\,a^{12}\,b^{11}+5181\,A^4\,B\,a^{10}\,b^{13}+1800\,A^4\,B\,a^8\,b^{15}-2726\,A^4\,B\,a^6\,b^{17}-1080\,A^4\,B\,a^4\,b^{19}+385\,A^4\,B\,a^2\,b^{21}-64\,A^3\,B^2\,a^{15}\,b^8+592\,A^3\,B^2\,a^{13}\,b^{10}+121\,A^3\,B^2\,a^{11}\,b^{12}-3312\,A^3\,B^2\,a^9\,b^{14}-3542\,A^3\,B^2\,a^7\,b^{16}+232\,A^3\,B^2\,a^5\,b^{18}+1237\,A^3\,B^2\,a^3\,b^{20}+240\,A^3\,B^2\,a\,b^{22}-192\,A^2\,B^3\,a^{14}\,b^9+1528\,A^2\,B^3\,a^{12}\,b^{11}+4381\,A^2\,B^3\,a^{10}\,b^{13}+2600\,A^2\,B^3\,a^8\,b^{15}-326\,A^2\,B^3\,a^6\,b^{17}+280\,A^2\,B^3\,a^4\,b^{19}+545\,A^2\,B^3\,a^2\,b^{21}-64\,A\,B^4\,a^{15}\,b^8+1096\,A\,B^4\,a^{13}\,b^{10}+520\,A\,B^4\,a^{11}\,b^{12}-4760\,A\,B^4\,a^9\,b^{14}-5360\,A\,B^4\,a^7\,b^{16}-104\,A\,B^4\,a^5\,b^{18}+1256\,A\,B^4\,a^3\,b^{20}+120\,A\,B^4\,a\,b^{22}+160\,B^5\,a^{14}\,b^9-240\,B^5\,a^{12}\,b^{11}-800\,B^5\,a^{10}\,b^{13}+800\,B^5\,a^8\,b^{15}+2400\,B^5\,a^6\,b^{17}+1360\,B^5\,a^4\,b^{19}+160\,B^5\,a^2\,b^{21}}{d^5}+\left(\left(\frac{-192\,A^3\,a^{10}\,b^8\,d^2+4608\,A^3\,a^8\,b^{10}\,d^2-5820\,A^3\,a^6\,b^{12}\,d^2-6912\,A^3\,a^4\,b^{14}\,d^2+3708\,A^3\,a^2\,b^{16}\,d^2+4416\,A^2\,B\,a^9\,b^9\,d^2-22944\,A^2\,B\,a^7\,b^{11}\,d^2-5000\,A^2\,B\,a^5\,b^{13}\,d^2+20504\,A^2\,B\,a^3\,b^{15}\,d^2-1856\,A^2\,B\,a\,b^{17}\,d^2+576\,A\,B^2\,a^{10}\,b^8\,d^2-14208\,A\,B^2\,a^8\,b^{10}\,d^2+16256\,A\,B^2\,a^6\,b^{12}\,d^2+23488\,A\,B^2\,a^4\,b^{14}\,d^2-7552\,A\,B^2\,a^2\,b^{16}\,d^2-1472\,B^3\,a^9\,b^9\,d^2+7808\,B^3\,a^7\,b^{11}\,d^2+2816\,B^3\,a^5\,b^{13}\,d^2-6400\,B^3\,a^3\,b^{15}\,d^2+64\,B^3\,a\,b^{17}\,d^2}{2\,d^5}-\left(\left(\frac{-768\,A\,a^5\,b^8\,d^4+2048\,B\,a^4\,b^9\,d^4+896\,A\,a^3\,b^{10}\,d^4+2048\,B\,a^2\,b^{11}\,d^4+1664\,A\,a\,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{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\frac{\left(B\,a^2\,b+\frac{9\,A\,a\,b^2}{4}\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}-\left(B\,a^3\,b+\frac{7\,A\,a^2\,b^2}{4}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{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(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{8\,d^4}+\frac{\left(\frac{-96\,A^3\,a^{10}\,b^8\,d^2+2304\,A^3\,a^8\,b^{10}\,d^2-2910\,A^3\,a^6\,b^{12}\,d^2-3456\,A^3\,a^4\,b^{14}\,d^2+1854\,A^3\,a^2\,b^{16}\,d^2+2208\,A^2\,B\,a^9\,b^9\,d^2-11472\,A^2\,B\,a^7\,b^{11}\,d^2-2500\,A^2\,B\,a^5\,b^{13}\,d^2+10252\,A^2\,B\,a^3\,b^{15}\,d^2-928\,A^2\,B\,a\,b^{17}\,d^2+288\,A\,B^2\,a^{10}\,b^8\,d^2-7104\,A\,B^2\,a^8\,b^{10}\,d^2+8128\,A\,B^2\,a^6\,b^{12}\,d^2+11744\,A\,B^2\,a^4\,b^{14}\,d^2-3776\,A\,B^2\,a^2\,b^{16}\,d^2-736\,B^3\,a^9\,b^9\,d^2+3904\,B^3\,a^7\,b^{11}\,d^2+1408\,B^3\,a^5\,b^{13}\,d^2-3200\,B^3\,a^3\,b^{15}\,d^2+32\,B^3\,a\,b^{17}\,d^2}{8\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{8\,d^4}+\frac{\left(\frac{-384\,A\,a^5\,b^8\,d^4+1024\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4+1024\,B\,a^2\,b^{11}\,d^4+832\,A\,a\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{64\,d^5}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}\,1{}\mathrm{i}}{d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{8\,d^4}-\frac{\left(\frac{-96\,A^3\,a^{10}\,b^8\,d^2+2304\,A^3\,a^8\,b^{10}\,d^2-2910\,A^3\,a^6\,b^{12}\,d^2-3456\,A^3\,a^4\,b^{14}\,d^2+1854\,A^3\,a^2\,b^{16}\,d^2+2208\,A^2\,B\,a^9\,b^9\,d^2-11472\,A^2\,B\,a^7\,b^{11}\,d^2-2500\,A^2\,B\,a^5\,b^{13}\,d^2+10252\,A^2\,B\,a^3\,b^{15}\,d^2-928\,A^2\,B\,a\,b^{17}\,d^2+288\,A\,B^2\,a^{10}\,b^8\,d^2-7104\,A\,B^2\,a^8\,b^{10}\,d^2+8128\,A\,B^2\,a^6\,b^{12}\,d^2+11744\,A\,B^2\,a^4\,b^{14}\,d^2-3776\,A\,B^2\,a^2\,b^{16}\,d^2-736\,B^3\,a^9\,b^9\,d^2+3904\,B^3\,a^7\,b^{11}\,d^2+1408\,B^3\,a^5\,b^{13}\,d^2-3200\,B^3\,a^3\,b^{15}\,d^2+32\,B^3\,a\,b^{17}\,d^2}{8\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{8\,d^4}-\frac{\left(\frac{-384\,A\,a^5\,b^8\,d^4+1024\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4+1024\,B\,a^2\,b^{11}\,d^4+832\,A\,a\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{64\,d^5}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}\,1{}\mathrm{i}}{d}}{\frac{-504\,A^5\,a^{13}\,b^{10}-399\,A^5\,a^{11}\,b^{12}+1448\,A^5\,a^9\,b^{14}+1818\,A^5\,a^7\,b^{16}+336\,A^5\,a^5\,b^{18}-19\,A^5\,a^3\,b^{20}+120\,A^5\,a\,b^{22}-352\,A^4\,B\,a^{14}\,b^9+1768\,A^4\,B\,a^{12}\,b^{11}+5181\,A^4\,B\,a^{10}\,b^{13}+1800\,A^4\,B\,a^8\,b^{15}-2726\,A^4\,B\,a^6\,b^{17}-1080\,A^4\,B\,a^4\,b^{19}+385\,A^4\,B\,a^2\,b^{21}-64\,A^3\,B^2\,a^{15}\,b^8+592\,A^3\,B^2\,a^{13}\,b^{10}+121\,A^3\,B^2\,a^{11}\,b^{12}-3312\,A^3\,B^2\,a^9\,b^{14}-3542\,A^3\,B^2\,a^7\,b^{16}+232\,A^3\,B^2\,a^5\,b^{18}+1237\,A^3\,B^2\,a^3\,b^{20}+240\,A^3\,B^2\,a\,b^{22}-192\,A^2\,B^3\,a^{14}\,b^9+1528\,A^2\,B^3\,a^{12}\,b^{11}+4381\,A^2\,B^3\,a^{10}\,b^{13}+2600\,A^2\,B^3\,a^8\,b^{15}-326\,A^2\,B^3\,a^6\,b^{17}+280\,A^2\,B^3\,a^4\,b^{19}+545\,A^2\,B^3\,a^2\,b^{21}-64\,A\,B^4\,a^{15}\,b^8+1096\,A\,B^4\,a^{13}\,b^{10}+520\,A\,B^4\,a^{11}\,b^{12}-4760\,A\,B^4\,a^9\,b^{14}-5360\,A\,B^4\,a^7\,b^{16}-104\,A\,B^4\,a^5\,b^{18}+1256\,A\,B^4\,a^3\,b^{20}+120\,A\,B^4\,a\,b^{22}+160\,B^5\,a^{14}\,b^9-240\,B^5\,a^{12}\,b^{11}-800\,B^5\,a^{10}\,b^{13}+800\,B^5\,a^8\,b^{15}+2400\,B^5\,a^6\,b^{17}+1360\,B^5\,a^4\,b^{19}+160\,B^5\,a^2\,b^{21}}{d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{8\,d^4}+\frac{\left(\frac{-96\,A^3\,a^{10}\,b^8\,d^2+2304\,A^3\,a^8\,b^{10}\,d^2-2910\,A^3\,a^6\,b^{12}\,d^2-3456\,A^3\,a^4\,b^{14}\,d^2+1854\,A^3\,a^2\,b^{16}\,d^2+2208\,A^2\,B\,a^9\,b^9\,d^2-11472\,A^2\,B\,a^7\,b^{11}\,d^2-2500\,A^2\,B\,a^5\,b^{13}\,d^2+10252\,A^2\,B\,a^3\,b^{15}\,d^2-928\,A^2\,B\,a\,b^{17}\,d^2+288\,A\,B^2\,a^{10}\,b^8\,d^2-7104\,A\,B^2\,a^8\,b^{10}\,d^2+8128\,A\,B^2\,a^6\,b^{12}\,d^2+11744\,A\,B^2\,a^4\,b^{14}\,d^2-3776\,A\,B^2\,a^2\,b^{16}\,d^2-736\,B^3\,a^9\,b^9\,d^2+3904\,B^3\,a^7\,b^{11}\,d^2+1408\,B^3\,a^5\,b^{13}\,d^2-3200\,B^3\,a^3\,b^{15}\,d^2+32\,B^3\,a\,b^{17}\,d^2}{8\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{8\,d^4}+\frac{\left(\frac{-384\,A\,a^5\,b^8\,d^4+1024\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4+1024\,B\,a^2\,b^{11}\,d^4+832\,A\,a\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{64\,d^5}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{12}\,b^8-1008\,A^4\,a^{10}\,b^{10}+5265\,A^4\,a^8\,b^{12}-6399\,A^4\,a^6\,b^{14}+4095\,A^4\,a^4\,b^{16}-33\,A^4\,a^2\,b^{18}+32\,A^4\,b^{20}-1088\,A^3\,B\,a^{11}\,b^9+10840\,A^3\,B\,a^9\,b^{11}-26868\,A^3\,B\,a^7\,b^{13}+21200\,A^3\,B\,a^5\,b^{15}-3300\,A^3\,B\,a^3\,b^{17}+5824\,A^2\,B^2\,a^{10}\,b^{10}-29825\,A^2\,B^2\,a^8\,b^{12}+42159\,A^2\,B^2\,a^6\,b^{14}-10255\,A^2\,B^2\,a^4\,b^{16}+609\,A^2\,B^2\,a^2\,b^{18}+64\,A^2\,B^2\,b^{20}+320\,A\,B^3\,a^{11}\,b^9-10200\,A\,B^3\,a^9\,b^{11}+29800\,A\,B^3\,a^7\,b^{13}-14120\,A\,B^3\,a^5\,b^{15}+600\,A\,B^3\,a^3\,b^{17}+32\,B^4\,a^{12}\,b^8-208\,B^4\,a^{10}\,b^{10}+6480\,B^4\,a^8\,b^{12}-5360\,B^4\,a^6\,b^{14}+880\,B^4\,a^4\,b^{16}+192\,B^4\,a^2\,b^{18}+32\,B^4\,b^{20}\right)}{8\,d^4}-\frac{\left(\frac{-96\,A^3\,a^{10}\,b^8\,d^2+2304\,A^3\,a^8\,b^{10}\,d^2-2910\,A^3\,a^6\,b^{12}\,d^2-3456\,A^3\,a^4\,b^{14}\,d^2+1854\,A^3\,a^2\,b^{16}\,d^2+2208\,A^2\,B\,a^9\,b^9\,d^2-11472\,A^2\,B\,a^7\,b^{11}\,d^2-2500\,A^2\,B\,a^5\,b^{13}\,d^2+10252\,A^2\,B\,a^3\,b^{15}\,d^2-928\,A^2\,B\,a\,b^{17}\,d^2+288\,A\,B^2\,a^{10}\,b^8\,d^2-7104\,A\,B^2\,a^8\,b^{10}\,d^2+8128\,A\,B^2\,a^6\,b^{12}\,d^2+11744\,A\,B^2\,a^4\,b^{14}\,d^2-3776\,A\,B^2\,a^2\,b^{16}\,d^2-736\,B^3\,a^9\,b^9\,d^2+3904\,B^3\,a^7\,b^{11}\,d^2+1408\,B^3\,a^5\,b^{13}\,d^2-3200\,B^3\,a^3\,b^{15}\,d^2+32\,B^3\,a\,b^{17}\,d^2}{8\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^7\,b^8\,d^2-4224\,A^2\,a^5\,b^{10}\,d^2+580\,A^2\,a^3\,b^{12}\,d^2+1216\,A^2\,a\,b^{14}\,d^2-4608\,A\,B\,a^6\,b^9\,d^2+7520\,A\,B\,a^4\,b^{11}\,d^2+3840\,A\,B\,a^2\,b^{13}\,d^2-512\,A\,B\,b^{15}\,d^2-320\,B^2\,a^7\,b^8\,d^2+4864\,B^2\,a^5\,b^{10}\,d^2+320\,B^2\,a^3\,b^{12}\,d^2-1216\,B^2\,a\,b^{14}\,d^2\right)}{8\,d^4}-\frac{\left(\frac{-384\,A\,a^5\,b^8\,d^4+1024\,B\,a^4\,b^9\,d^4+448\,A\,a^3\,b^{10}\,d^4+1024\,B\,a^2\,b^{11}\,d^4+832\,A\,a\,b^{12}\,d^4}{8\,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{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{64\,d^5}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{8\,d}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}}{d}}\right)\,\sqrt{64\,A^2\,a^5-240\,A^2\,a^3\,b^2+225\,A^2\,a\,b^4-320\,A\,B\,a^4\,b+600\,A\,B\,a^2\,b^3+400\,B^2\,a^3\,b^2}\,1{}\mathrm{i}}{4\,d}","Not used",1,"atan(-((((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (120*A^5*a*b^22 - 19*A^5*a^3*b^20 + 336*A^5*a^5*b^18 + 1818*A^5*a^7*b^16 + 1448*A^5*a^9*b^14 - 399*A^5*a^11*b^12 - 504*A^5*a^13*b^10 + 160*B^5*a^2*b^21 + 1360*B^5*a^4*b^19 + 2400*B^5*a^6*b^17 + 800*B^5*a^8*b^15 - 800*B^5*a^10*b^13 - 240*B^5*a^12*b^11 + 160*B^5*a^14*b^9 + 545*A^2*B^3*a^2*b^21 + 280*A^2*B^3*a^4*b^19 - 326*A^2*B^3*a^6*b^17 + 2600*A^2*B^3*a^8*b^15 + 4381*A^2*B^3*a^10*b^13 + 1528*A^2*B^3*a^12*b^11 - 192*A^2*B^3*a^14*b^9 + 1237*A^3*B^2*a^3*b^20 + 232*A^3*B^2*a^5*b^18 - 3542*A^3*B^2*a^7*b^16 - 3312*A^3*B^2*a^9*b^14 + 121*A^3*B^2*a^11*b^12 + 592*A^3*B^2*a^13*b^10 - 64*A^3*B^2*a^15*b^8 + 120*A*B^4*a*b^22 + 1256*A*B^4*a^3*b^20 - 104*A*B^4*a^5*b^18 - 5360*A*B^4*a^7*b^16 - 4760*A*B^4*a^9*b^14 + 520*A*B^4*a^11*b^12 + 1096*A*B^4*a^13*b^10 - 64*A*B^4*a^15*b^8 + 240*A^3*B^2*a*b^22 + 385*A^4*B*a^2*b^21 - 1080*A^4*B*a^4*b^19 - 2726*A^4*B*a^6*b^17 + 1800*A^4*B*a^8*b^15 + 5181*A^4*B*a^10*b^13 + 1768*A^4*B*a^12*b^11 - 352*A^4*B*a^14*b^9)/d^5 + (((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i + atan(-((((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (120*A^5*a*b^22 - 19*A^5*a^3*b^20 + 336*A^5*a^5*b^18 + 1818*A^5*a^7*b^16 + 1448*A^5*a^9*b^14 - 399*A^5*a^11*b^12 - 504*A^5*a^13*b^10 + 160*B^5*a^2*b^21 + 1360*B^5*a^4*b^19 + 2400*B^5*a^6*b^17 + 800*B^5*a^8*b^15 - 800*B^5*a^10*b^13 - 240*B^5*a^12*b^11 + 160*B^5*a^14*b^9 + 545*A^2*B^3*a^2*b^21 + 280*A^2*B^3*a^4*b^19 - 326*A^2*B^3*a^6*b^17 + 2600*A^2*B^3*a^8*b^15 + 4381*A^2*B^3*a^10*b^13 + 1528*A^2*B^3*a^12*b^11 - 192*A^2*B^3*a^14*b^9 + 1237*A^3*B^2*a^3*b^20 + 232*A^3*B^2*a^5*b^18 - 3542*A^3*B^2*a^7*b^16 - 3312*A^3*B^2*a^9*b^14 + 121*A^3*B^2*a^11*b^12 + 592*A^3*B^2*a^13*b^10 - 64*A^3*B^2*a^15*b^8 + 120*A*B^4*a*b^22 + 1256*A*B^4*a^3*b^20 - 104*A*B^4*a^5*b^18 - 5360*A*B^4*a^7*b^16 - 4760*A*B^4*a^9*b^14 + 520*A*B^4*a^11*b^12 + 1096*A*B^4*a^13*b^10 - 64*A*B^4*a^15*b^8 + 240*A^3*B^2*a*b^22 + 385*A^4*B*a^2*b^21 - 1080*A^4*B*a^4*b^19 - 2726*A^4*B*a^6*b^17 + 1800*A^4*B*a^8*b^15 + 5181*A^4*B*a^10*b^13 + 1768*A^4*B*a^12*b^11 - 352*A^4*B*a^14*b^9)/d^5 + (((3708*A^3*a^2*b^16*d^2 - 6912*A^3*a^4*b^14*d^2 - 5820*A^3*a^6*b^12*d^2 + 4608*A^3*a^8*b^10*d^2 - 192*A^3*a^10*b^8*d^2 - 6400*B^3*a^3*b^15*d^2 + 2816*B^3*a^5*b^13*d^2 + 7808*B^3*a^7*b^11*d^2 - 1472*B^3*a^9*b^9*d^2 + 64*B^3*a*b^17*d^2 - 1856*A^2*B*a*b^17*d^2 - 7552*A*B^2*a^2*b^16*d^2 + 23488*A*B^2*a^4*b^14*d^2 + 16256*A*B^2*a^6*b^12*d^2 - 14208*A*B^2*a^8*b^10*d^2 + 576*A*B^2*a^10*b^8*d^2 + 20504*A^2*B*a^3*b^15*d^2 - 5000*A^2*B*a^5*b^13*d^2 - 22944*A^2*B*a^7*b^11*d^2 + 4416*A^2*B*a^9*b^9*d^2)/(2*d^5) - (((1664*A*a*b^12*d^4 + 896*A*a^3*b^10*d^4 - 768*A*a^5*b^8*d^4 + 2048*B*a^2*b^11*d^4 + 2048*B*a^4*b^9*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)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/d^4)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i - (((9*A*a*b^2)/4 + B*a^2*b)*(a + b*tan(c + d*x))^(3/2) - ((7*A*a^2*b^2)/4 + B*a^3*b)*(a + b*tan(c + d*x))^(1/2))/(d*(a + b*tan(c + d*x))^2 + a^2*d - 2*a*d*(a + b*tan(c + d*x))) + (atan((((((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/(8*d^4) + (((1854*A^3*a^2*b^16*d^2 - 3456*A^3*a^4*b^14*d^2 - 2910*A^3*a^6*b^12*d^2 + 2304*A^3*a^8*b^10*d^2 - 96*A^3*a^10*b^8*d^2 - 3200*B^3*a^3*b^15*d^2 + 1408*B^3*a^5*b^13*d^2 + 3904*B^3*a^7*b^11*d^2 - 736*B^3*a^9*b^9*d^2 + 32*B^3*a*b^17*d^2 - 928*A^2*B*a*b^17*d^2 - 3776*A*B^2*a^2*b^16*d^2 + 11744*A*B^2*a^4*b^14*d^2 + 8128*A*B^2*a^6*b^12*d^2 - 7104*A*B^2*a^8*b^10*d^2 + 288*A*B^2*a^10*b^8*d^2 + 10252*A^2*B*a^3*b^15*d^2 - 2500*A^2*B*a^5*b^13*d^2 - 11472*A^2*B*a^7*b^11*d^2 + 2208*A^2*B*a^9*b^9*d^2)/(8*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/(8*d^4) + (((832*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 - 384*A*a^5*b^8*d^4 + 1024*B*a^2*b^11*d^4 + 1024*B*a^4*b^9*d^4)/(8*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(64*d^5))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2)*1i)/d + ((((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/(8*d^4) - (((1854*A^3*a^2*b^16*d^2 - 3456*A^3*a^4*b^14*d^2 - 2910*A^3*a^6*b^12*d^2 + 2304*A^3*a^8*b^10*d^2 - 96*A^3*a^10*b^8*d^2 - 3200*B^3*a^3*b^15*d^2 + 1408*B^3*a^5*b^13*d^2 + 3904*B^3*a^7*b^11*d^2 - 736*B^3*a^9*b^9*d^2 + 32*B^3*a*b^17*d^2 - 928*A^2*B*a*b^17*d^2 - 3776*A*B^2*a^2*b^16*d^2 + 11744*A*B^2*a^4*b^14*d^2 + 8128*A*B^2*a^6*b^12*d^2 - 7104*A*B^2*a^8*b^10*d^2 + 288*A*B^2*a^10*b^8*d^2 + 10252*A^2*B*a^3*b^15*d^2 - 2500*A^2*B*a^5*b^13*d^2 - 11472*A^2*B*a^7*b^11*d^2 + 2208*A^2*B*a^9*b^9*d^2)/(8*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/(8*d^4) - (((832*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 - 384*A*a^5*b^8*d^4 + 1024*B*a^2*b^11*d^4 + 1024*B*a^4*b^9*d^4)/(8*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(64*d^5))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2)*1i)/d)/((120*A^5*a*b^22 - 19*A^5*a^3*b^20 + 336*A^5*a^5*b^18 + 1818*A^5*a^7*b^16 + 1448*A^5*a^9*b^14 - 399*A^5*a^11*b^12 - 504*A^5*a^13*b^10 + 160*B^5*a^2*b^21 + 1360*B^5*a^4*b^19 + 2400*B^5*a^6*b^17 + 800*B^5*a^8*b^15 - 800*B^5*a^10*b^13 - 240*B^5*a^12*b^11 + 160*B^5*a^14*b^9 + 545*A^2*B^3*a^2*b^21 + 280*A^2*B^3*a^4*b^19 - 326*A^2*B^3*a^6*b^17 + 2600*A^2*B^3*a^8*b^15 + 4381*A^2*B^3*a^10*b^13 + 1528*A^2*B^3*a^12*b^11 - 192*A^2*B^3*a^14*b^9 + 1237*A^3*B^2*a^3*b^20 + 232*A^3*B^2*a^5*b^18 - 3542*A^3*B^2*a^7*b^16 - 3312*A^3*B^2*a^9*b^14 + 121*A^3*B^2*a^11*b^12 + 592*A^3*B^2*a^13*b^10 - 64*A^3*B^2*a^15*b^8 + 120*A*B^4*a*b^22 + 1256*A*B^4*a^3*b^20 - 104*A*B^4*a^5*b^18 - 5360*A*B^4*a^7*b^16 - 4760*A*B^4*a^9*b^14 + 520*A*B^4*a^11*b^12 + 1096*A*B^4*a^13*b^10 - 64*A*B^4*a^15*b^8 + 240*A^3*B^2*a*b^22 + 385*A^4*B*a^2*b^21 - 1080*A^4*B*a^4*b^19 - 2726*A^4*B*a^6*b^17 + 1800*A^4*B*a^8*b^15 + 5181*A^4*B*a^10*b^13 + 1768*A^4*B*a^12*b^11 - 352*A^4*B*a^14*b^9)/d^5 - ((((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/(8*d^4) + (((1854*A^3*a^2*b^16*d^2 - 3456*A^3*a^4*b^14*d^2 - 2910*A^3*a^6*b^12*d^2 + 2304*A^3*a^8*b^10*d^2 - 96*A^3*a^10*b^8*d^2 - 3200*B^3*a^3*b^15*d^2 + 1408*B^3*a^5*b^13*d^2 + 3904*B^3*a^7*b^11*d^2 - 736*B^3*a^9*b^9*d^2 + 32*B^3*a*b^17*d^2 - 928*A^2*B*a*b^17*d^2 - 3776*A*B^2*a^2*b^16*d^2 + 11744*A*B^2*a^4*b^14*d^2 + 8128*A*B^2*a^6*b^12*d^2 - 7104*A*B^2*a^8*b^10*d^2 + 288*A*B^2*a^10*b^8*d^2 + 10252*A^2*B*a^3*b^15*d^2 - 2500*A^2*B*a^5*b^13*d^2 - 11472*A^2*B*a^7*b^11*d^2 + 2208*A^2*B*a^9*b^9*d^2)/(8*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/(8*d^4) + (((832*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 - 384*A*a^5*b^8*d^4 + 1024*B*a^2*b^11*d^4 + 1024*B*a^4*b^9*d^4)/(8*d^5) - ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(64*d^5))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/d + ((((a + b*tan(c + d*x))^(1/2)*(32*A^4*b^20 + 32*B^4*b^20 + 64*A^2*B^2*b^20 - 33*A^4*a^2*b^18 + 4095*A^4*a^4*b^16 - 6399*A^4*a^6*b^14 + 5265*A^4*a^8*b^12 - 1008*A^4*a^10*b^10 + 96*A^4*a^12*b^8 + 192*B^4*a^2*b^18 + 880*B^4*a^4*b^16 - 5360*B^4*a^6*b^14 + 6480*B^4*a^8*b^12 - 208*B^4*a^10*b^10 + 32*B^4*a^12*b^8 + 609*A^2*B^2*a^2*b^18 - 10255*A^2*B^2*a^4*b^16 + 42159*A^2*B^2*a^6*b^14 - 29825*A^2*B^2*a^8*b^12 + 5824*A^2*B^2*a^10*b^10 + 600*A*B^3*a^3*b^17 - 14120*A*B^3*a^5*b^15 + 29800*A*B^3*a^7*b^13 - 10200*A*B^3*a^9*b^11 + 320*A*B^3*a^11*b^9 - 3300*A^3*B*a^3*b^17 + 21200*A^3*B*a^5*b^15 - 26868*A^3*B*a^7*b^13 + 10840*A^3*B*a^9*b^11 - 1088*A^3*B*a^11*b^9))/(8*d^4) - (((1854*A^3*a^2*b^16*d^2 - 3456*A^3*a^4*b^14*d^2 - 2910*A^3*a^6*b^12*d^2 + 2304*A^3*a^8*b^10*d^2 - 96*A^3*a^10*b^8*d^2 - 3200*B^3*a^3*b^15*d^2 + 1408*B^3*a^5*b^13*d^2 + 3904*B^3*a^7*b^11*d^2 - 736*B^3*a^9*b^9*d^2 + 32*B^3*a*b^17*d^2 - 928*A^2*B*a*b^17*d^2 - 3776*A*B^2*a^2*b^16*d^2 + 11744*A*B^2*a^4*b^14*d^2 + 8128*A*B^2*a^6*b^12*d^2 - 7104*A*B^2*a^8*b^10*d^2 + 288*A*B^2*a^10*b^8*d^2 + 10252*A^2*B*a^3*b^15*d^2 - 2500*A^2*B*a^5*b^13*d^2 - 11472*A^2*B*a^7*b^11*d^2 + 2208*A^2*B*a^9*b^9*d^2)/(8*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(580*A^2*a^3*b^12*d^2 - 4224*A^2*a^5*b^10*d^2 + 576*A^2*a^7*b^8*d^2 + 320*B^2*a^3*b^12*d^2 + 4864*B^2*a^5*b^10*d^2 - 320*B^2*a^7*b^8*d^2 - 512*A*B*b^15*d^2 + 1216*A^2*a*b^14*d^2 - 1216*B^2*a*b^14*d^2 + 3840*A*B*a^2*b^13*d^2 + 7520*A*B*a^4*b^11*d^2 - 4608*A*B*a^6*b^9*d^2))/(8*d^4) - (((832*A*a*b^12*d^4 + 448*A*a^3*b^10*d^4 - 384*A*a^5*b^8*d^4 + 1024*B*a^2*b^11*d^4 + 1024*B*a^4*b^9*d^4)/(8*d^5) + ((512*b^10*d^4 + 768*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(64*d^5))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/(8*d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2))/d))*(64*A^2*a^5 + 225*A^2*a*b^4 - 240*A^2*a^3*b^2 + 400*B^2*a^3*b^2 - 320*A*B*a^4*b + 600*A*B*a^2*b^3)^(1/2)*1i)/(4*d)","B"
338,1,33949,277,10.070660,"\text{Not used}","int(cot(c + d*x)^4*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}-\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}+\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\frac{-640\,A^5\,a^{14}\,b^9+1040\,A^5\,a^{12}\,b^{11}+2480\,A^5\,a^{10}\,b^{13}-5125\,A^5\,a^8\,b^{15}-10200\,A^5\,a^6\,b^{17}-4090\,A^5\,a^4\,b^{19}+240\,A^5\,a^2\,b^{21}+55\,A^5\,b^{23}-256\,A^4\,B\,a^{15}\,b^8+4384\,A^4\,B\,a^{13}\,b^{10}+1200\,A^4\,B\,a^{11}\,b^{12}-19395\,A^4\,B\,a^9\,b^{14}-17600\,A^4\,B\,a^7\,b^{16}+4434\,A^4\,B\,a^5\,b^{18}+6184\,A^4\,B\,a^3\,b^{20}+105\,A^4\,B\,a\,b^{22}+768\,A^3\,B^2\,a^{14}\,b^9-6112\,A^3\,B^2\,a^{12}\,b^{11}-17464\,A^3\,B^2\,a^{10}\,b^{13}-10165\,A^3\,B^2\,a^8\,b^{15}+1784\,A^3\,B^2\,a^6\,b^{17}-490\,A^3\,B^2\,a^4\,b^{19}-1720\,A^3\,B^2\,a^2\,b^{21}+135\,A^3\,B^2\,b^{23}-256\,A^2\,B^3\,a^{15}\,b^8+2368\,A^2\,B^3\,a^{13}\,b^{10}-396\,A^2\,B^3\,a^{11}\,b^{12}-13603\,A^2\,B^3\,a^9\,b^{14}-10328\,A^2\,B^3\,a^7\,b^{16}+5778\,A^2\,B^3\,a^5\,b^{18}+6108\,A^2\,B^3\,a^3\,b^{20}+585\,A^2\,B^3\,a\,b^{22}+1408\,A\,B^4\,a^{14}\,b^9-7152\,A\,B^4\,a^{12}\,b^{11}-19944\,A\,B^4\,a^{10}\,b^{13}-5040\,A\,B^4\,a^8\,b^{15}+11984\,A\,B^4\,a^6\,b^{17}+3600\,A\,B^4\,a^4\,b^{19}-1960\,A\,B^4\,a^2\,b^{21}+80\,A\,B^4\,b^{23}-2016\,B^5\,a^{13}\,b^{10}-1596\,B^5\,a^{11}\,b^{12}+5792\,B^5\,a^9\,b^{14}+7272\,B^5\,a^7\,b^{16}+1344\,B^5\,a^5\,b^{18}-76\,B^5\,a^3\,b^{20}+480\,B^5\,a\,b^{22}}{4\,d^5}+\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}-\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}+\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}-\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}+\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\frac{-640\,A^5\,a^{14}\,b^9+1040\,A^5\,a^{12}\,b^{11}+2480\,A^5\,a^{10}\,b^{13}-5125\,A^5\,a^8\,b^{15}-10200\,A^5\,a^6\,b^{17}-4090\,A^5\,a^4\,b^{19}+240\,A^5\,a^2\,b^{21}+55\,A^5\,b^{23}-256\,A^4\,B\,a^{15}\,b^8+4384\,A^4\,B\,a^{13}\,b^{10}+1200\,A^4\,B\,a^{11}\,b^{12}-19395\,A^4\,B\,a^9\,b^{14}-17600\,A^4\,B\,a^7\,b^{16}+4434\,A^4\,B\,a^5\,b^{18}+6184\,A^4\,B\,a^3\,b^{20}+105\,A^4\,B\,a\,b^{22}+768\,A^3\,B^2\,a^{14}\,b^9-6112\,A^3\,B^2\,a^{12}\,b^{11}-17464\,A^3\,B^2\,a^{10}\,b^{13}-10165\,A^3\,B^2\,a^8\,b^{15}+1784\,A^3\,B^2\,a^6\,b^{17}-490\,A^3\,B^2\,a^4\,b^{19}-1720\,A^3\,B^2\,a^2\,b^{21}+135\,A^3\,B^2\,b^{23}-256\,A^2\,B^3\,a^{15}\,b^8+2368\,A^2\,B^3\,a^{13}\,b^{10}-396\,A^2\,B^3\,a^{11}\,b^{12}-13603\,A^2\,B^3\,a^9\,b^{14}-10328\,A^2\,B^3\,a^7\,b^{16}+5778\,A^2\,B^3\,a^5\,b^{18}+6108\,A^2\,B^3\,a^3\,b^{20}+585\,A^2\,B^3\,a\,b^{22}+1408\,A\,B^4\,a^{14}\,b^9-7152\,A\,B^4\,a^{12}\,b^{11}-19944\,A\,B^4\,a^{10}\,b^{13}-5040\,A\,B^4\,a^8\,b^{15}+11984\,A\,B^4\,a^6\,b^{17}+3600\,A\,B^4\,a^4\,b^{19}-1960\,A\,B^4\,a^2\,b^{21}+80\,A\,B^4\,b^{23}-2016\,B^5\,a^{13}\,b^{10}-1596\,B^5\,a^{11}\,b^{12}+5792\,B^5\,a^9\,b^{14}+7272\,B^5\,a^7\,b^{16}+1344\,B^5\,a^5\,b^{18}-76\,B^5\,a^3\,b^{20}+480\,B^5\,a\,b^{22}}{4\,d^5}+\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}-\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{-3072\,B\,a^5\,b^8\,d^4-8192\,A\,a^4\,b^9\,d^4+3584\,B\,a^3\,b^{10}\,d^4-6912\,A\,a^2\,b^{11}\,d^4+6656\,B\,a\,b^{12}\,d^4+1280\,A\,b^{13}\,d^4}{8\,d^5}+\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{5888\,A^3\,a^9\,b^9\,d^2-31872\,A^3\,a^7\,b^{11}\,d^2-8704\,A^3\,a^5\,b^{13}\,d^2+25800\,A^3\,a^3\,b^{15}\,d^2-3256\,A^3\,a\,b^{17}\,d^2+2304\,A^2\,B\,a^{10}\,b^8\,d^2-56832\,A^2\,B\,a^8\,b^{10}\,d^2+68544\,A^2\,B\,a^6\,b^{12}\,d^2+88772\,A^2\,B\,a^4\,b^{14}\,d^2-37728\,A^2\,B\,a^2\,b^{16}\,d^2+1180\,A^2\,B\,b^{18}\,d^2-17664\,A\,B^2\,a^9\,b^9\,d^2+91776\,A\,B^2\,a^7\,b^{11}\,d^2+15440\,A\,B^2\,a^5\,b^{13}\,d^2-84576\,A\,B^2\,a^3\,b^{15}\,d^2+9424\,A\,B^2\,a\,b^{17}\,d^2-768\,B^3\,a^{10}\,b^8\,d^2+18432\,B^3\,a^8\,b^{10}\,d^2-23280\,B^3\,a^6\,b^{12}\,d^2-27648\,B^3\,a^4\,b^{14}\,d^2+14832\,B^3\,a^2\,b^{16}\,d^2}{8\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-A\,a^4\,b+\frac{7\,B\,a^3\,b^2}{4}+\frac{5\,A\,a^2\,b^3}{8}\right)-{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}\,\left(-2\,A\,a^3\,b+4\,B\,a^2\,b^2+\frac{5\,A\,a\,b^3}{3}\right)+{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}\,\left(-A\,a^2\,b+\frac{9\,B\,a\,b^2}{4}+\frac{11\,A\,b^3}{8}\right)}{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)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{64\,d^4}+\frac{\left(\frac{736\,A^3\,a^9\,b^9\,d^2-3984\,A^3\,a^7\,b^{11}\,d^2-1088\,A^3\,a^5\,b^{13}\,d^2+3225\,A^3\,a^3\,b^{15}\,d^2-407\,A^3\,a\,b^{17}\,d^2+288\,A^2\,B\,a^{10}\,b^8\,d^2-7104\,A^2\,B\,a^8\,b^{10}\,d^2+8568\,A^2\,B\,a^6\,b^{12}\,d^2+\frac{22193\,A^2\,B\,a^4\,b^{14}\,d^2}{2}-4716\,A^2\,B\,a^2\,b^{16}\,d^2+\frac{295\,A^2\,B\,b^{18}\,d^2}{2}-2208\,A\,B^2\,a^9\,b^9\,d^2+11472\,A\,B^2\,a^7\,b^{11}\,d^2+1930\,A\,B^2\,a^5\,b^{13}\,d^2-10572\,A\,B^2\,a^3\,b^{15}\,d^2+1178\,A\,B^2\,a\,b^{17}\,d^2-96\,B^3\,a^{10}\,b^8\,d^2+2304\,B^3\,a^8\,b^{10}\,d^2-2910\,B^3\,a^6\,b^{12}\,d^2-3456\,B^3\,a^4\,b^{14}\,d^2+1854\,B^3\,a^2\,b^{16}\,d^2}{16\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{64\,d^4}-\frac{\left(\frac{-384\,B\,a^5\,b^8\,d^4-1024\,A\,a^4\,b^9\,d^4+448\,B\,a^3\,b^{10}\,d^4-864\,A\,a^2\,b^{11}\,d^4+832\,B\,a\,b^{12}\,d^4+160\,A\,b^{13}\,d^4}{16\,d^5}-\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{1024\,a\,d^5}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}\,1{}\mathrm{i}}{a\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{64\,d^4}-\frac{\left(\frac{736\,A^3\,a^9\,b^9\,d^2-3984\,A^3\,a^7\,b^{11}\,d^2-1088\,A^3\,a^5\,b^{13}\,d^2+3225\,A^3\,a^3\,b^{15}\,d^2-407\,A^3\,a\,b^{17}\,d^2+288\,A^2\,B\,a^{10}\,b^8\,d^2-7104\,A^2\,B\,a^8\,b^{10}\,d^2+8568\,A^2\,B\,a^6\,b^{12}\,d^2+\frac{22193\,A^2\,B\,a^4\,b^{14}\,d^2}{2}-4716\,A^2\,B\,a^2\,b^{16}\,d^2+\frac{295\,A^2\,B\,b^{18}\,d^2}{2}-2208\,A\,B^2\,a^9\,b^9\,d^2+11472\,A\,B^2\,a^7\,b^{11}\,d^2+1930\,A\,B^2\,a^5\,b^{13}\,d^2-10572\,A\,B^2\,a^3\,b^{15}\,d^2+1178\,A\,B^2\,a\,b^{17}\,d^2-96\,B^3\,a^{10}\,b^8\,d^2+2304\,B^3\,a^8\,b^{10}\,d^2-2910\,B^3\,a^6\,b^{12}\,d^2-3456\,B^3\,a^4\,b^{14}\,d^2+1854\,B^3\,a^2\,b^{16}\,d^2}{16\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{64\,d^4}+\frac{\left(\frac{-384\,B\,a^5\,b^8\,d^4-1024\,A\,a^4\,b^9\,d^4+448\,B\,a^3\,b^{10}\,d^4-864\,A\,a^2\,b^{11}\,d^4+832\,B\,a\,b^{12}\,d^4+160\,A\,b^{13}\,d^4}{16\,d^5}+\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{1024\,a\,d^5}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}\,1{}\mathrm{i}}{a\,d}}{\frac{-160\,A^5\,a^{14}\,b^9+260\,A^5\,a^{12}\,b^{11}+620\,A^5\,a^{10}\,b^{13}-\frac{5125\,A^5\,a^8\,b^{15}}{4}-2550\,A^5\,a^6\,b^{17}-\frac{2045\,A^5\,a^4\,b^{19}}{2}+60\,A^5\,a^2\,b^{21}+\frac{55\,A^5\,b^{23}}{4}-64\,A^4\,B\,a^{15}\,b^8+1096\,A^4\,B\,a^{13}\,b^{10}+300\,A^4\,B\,a^{11}\,b^{12}-\frac{19395\,A^4\,B\,a^9\,b^{14}}{4}-4400\,A^4\,B\,a^7\,b^{16}+\frac{2217\,A^4\,B\,a^5\,b^{18}}{2}+1546\,A^4\,B\,a^3\,b^{20}+\frac{105\,A^4\,B\,a\,b^{22}}{4}+192\,A^3\,B^2\,a^{14}\,b^9-1528\,A^3\,B^2\,a^{12}\,b^{11}-4366\,A^3\,B^2\,a^{10}\,b^{13}-\frac{10165\,A^3\,B^2\,a^8\,b^{15}}{4}+446\,A^3\,B^2\,a^6\,b^{17}-\frac{245\,A^3\,B^2\,a^4\,b^{19}}{2}-430\,A^3\,B^2\,a^2\,b^{21}+\frac{135\,A^3\,B^2\,b^{23}}{4}-64\,A^2\,B^3\,a^{15}\,b^8+592\,A^2\,B^3\,a^{13}\,b^{10}-99\,A^2\,B^3\,a^{11}\,b^{12}-\frac{13603\,A^2\,B^3\,a^9\,b^{14}}{4}-2582\,A^2\,B^3\,a^7\,b^{16}+\frac{2889\,A^2\,B^3\,a^5\,b^{18}}{2}+1527\,A^2\,B^3\,a^3\,b^{20}+\frac{585\,A^2\,B^3\,a\,b^{22}}{4}+352\,A\,B^4\,a^{14}\,b^9-1788\,A\,B^4\,a^{12}\,b^{11}-4986\,A\,B^4\,a^{10}\,b^{13}-1260\,A\,B^4\,a^8\,b^{15}+2996\,A\,B^4\,a^6\,b^{17}+900\,A\,B^4\,a^4\,b^{19}-490\,A\,B^4\,a^2\,b^{21}+20\,A\,B^4\,b^{23}-504\,B^5\,a^{13}\,b^{10}-399\,B^5\,a^{11}\,b^{12}+1448\,B^5\,a^9\,b^{14}+1818\,B^5\,a^7\,b^{16}+336\,B^5\,a^5\,b^{18}-19\,B^5\,a^3\,b^{20}+120\,B^5\,a\,b^{22}}{d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{64\,d^4}+\frac{\left(\frac{736\,A^3\,a^9\,b^9\,d^2-3984\,A^3\,a^7\,b^{11}\,d^2-1088\,A^3\,a^5\,b^{13}\,d^2+3225\,A^3\,a^3\,b^{15}\,d^2-407\,A^3\,a\,b^{17}\,d^2+288\,A^2\,B\,a^{10}\,b^8\,d^2-7104\,A^2\,B\,a^8\,b^{10}\,d^2+8568\,A^2\,B\,a^6\,b^{12}\,d^2+\frac{22193\,A^2\,B\,a^4\,b^{14}\,d^2}{2}-4716\,A^2\,B\,a^2\,b^{16}\,d^2+\frac{295\,A^2\,B\,b^{18}\,d^2}{2}-2208\,A\,B^2\,a^9\,b^9\,d^2+11472\,A\,B^2\,a^7\,b^{11}\,d^2+1930\,A\,B^2\,a^5\,b^{13}\,d^2-10572\,A\,B^2\,a^3\,b^{15}\,d^2+1178\,A\,B^2\,a\,b^{17}\,d^2-96\,B^3\,a^{10}\,b^8\,d^2+2304\,B^3\,a^8\,b^{10}\,d^2-2910\,B^3\,a^6\,b^{12}\,d^2-3456\,B^3\,a^4\,b^{14}\,d^2+1854\,B^3\,a^2\,b^{16}\,d^2}{16\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{64\,d^4}-\frac{\left(\frac{-384\,B\,a^5\,b^8\,d^4-1024\,A\,a^4\,b^9\,d^4+448\,B\,a^3\,b^{10}\,d^4-864\,A\,a^2\,b^{11}\,d^4+832\,B\,a\,b^{12}\,d^4+160\,A\,b^{13}\,d^4}{16\,d^5}-\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{1024\,a\,d^5}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{a\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^4\,a^{12}\,b^8-832\,A^4\,a^{10}\,b^{10}+26320\,A^4\,a^8\,b^{12}-27465\,A^4\,a^6\,b^{14}+9895\,A^4\,a^4\,b^{16}-7\,A^4\,a^2\,b^{18}+153\,A^4\,b^{20}-1280\,A^3\,B\,a^{11}\,b^9+40960\,A^3\,B\,a^9\,b^{11}-126700\,A^3\,B\,a^7\,b^{13}+79680\,A^3\,B\,a^5\,b^{15}-12860\,A^3\,B\,a^3\,b^{17}+600\,A^3\,B\,a\,b^{19}+23296\,A^2\,B^2\,a^{10}\,b^{10}-121620\,A^2\,B^2\,a^8\,b^{12}+184661\,A^2\,B^2\,a^6\,b^{14}-61315\,A^2\,B^2\,a^4\,b^{16}+6811\,A^2\,B^2\,a^2\,b^{18}+231\,A^2\,B^2\,b^{20}+4352\,A\,B^3\,a^{11}\,b^9-43520\,A\,B^3\,a^9\,b^{11}+110172\,A\,B^3\,a^7\,b^{13}-91700\,A\,B^3\,a^5\,b^{15}+17860\,A\,B^3\,a^3\,b^{17}-300\,A\,B^3\,a\,b^{19}+384\,B^4\,a^{12}\,b^8-4032\,B^4\,a^{10}\,b^{10}+21060\,B^4\,a^8\,b^{12}-25596\,B^4\,a^6\,b^{14}+16380\,B^4\,a^4\,b^{16}-132\,B^4\,a^2\,b^{18}+128\,B^4\,b^{20}\right)}{64\,d^4}-\frac{\left(\frac{736\,A^3\,a^9\,b^9\,d^2-3984\,A^3\,a^7\,b^{11}\,d^2-1088\,A^3\,a^5\,b^{13}\,d^2+3225\,A^3\,a^3\,b^{15}\,d^2-407\,A^3\,a\,b^{17}\,d^2+288\,A^2\,B\,a^{10}\,b^8\,d^2-7104\,A^2\,B\,a^8\,b^{10}\,d^2+8568\,A^2\,B\,a^6\,b^{12}\,d^2+\frac{22193\,A^2\,B\,a^4\,b^{14}\,d^2}{2}-4716\,A^2\,B\,a^2\,b^{16}\,d^2+\frac{295\,A^2\,B\,b^{18}\,d^2}{2}-2208\,A\,B^2\,a^9\,b^9\,d^2+11472\,A\,B^2\,a^7\,b^{11}\,d^2+1930\,A\,B^2\,a^5\,b^{13}\,d^2-10572\,A\,B^2\,a^3\,b^{15}\,d^2+1178\,A\,B^2\,a\,b^{17}\,d^2-96\,B^3\,a^{10}\,b^8\,d^2+2304\,B^3\,a^8\,b^{10}\,d^2-2910\,B^3\,a^6\,b^{12}\,d^2-3456\,B^3\,a^4\,b^{14}\,d^2+1854\,B^3\,a^2\,b^{16}\,d^2}{16\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(1280\,A^2\,a^7\,b^8\,d^2-19456\,A^2\,a^5\,b^{10}\,d^2+320\,A^2\,a^3\,b^{12}\,d^2+4764\,A^2\,a\,b^{14}\,d^2-18432\,A\,B\,a^6\,b^9\,d^2+30720\,A\,B\,a^4\,b^{11}\,d^2+14160\,A\,B\,a^2\,b^{13}\,d^2-2048\,A\,B\,b^{15}\,d^2-2304\,B^2\,a^7\,b^8\,d^2+16896\,B^2\,a^5\,b^{10}\,d^2-2320\,B^2\,a^3\,b^{12}\,d^2-4864\,B^2\,a\,b^{14}\,d^2\right)}{64\,d^4}+\frac{\left(\frac{-384\,B\,a^5\,b^8\,d^4-1024\,A\,a^4\,b^9\,d^4+448\,B\,a^3\,b^{10}\,d^4-864\,A\,a^2\,b^{11}\,d^4+832\,B\,a\,b^{12}\,d^4+160\,A\,b^{13}\,d^4}{16\,d^5}+\frac{\left(3072\,a^2\,b^8\,d^4+2048\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{1024\,a\,d^5}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{16\,a\,d}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}}{a\,d}}\right)\,\sqrt{1600\,A^2\,a^5\,b^2-400\,A^2\,a^3\,b^4+25\,A^2\,a\,b^6+1280\,A\,B\,a^6\,b-2560\,A\,B\,a^4\,b^3+300\,A\,B\,a^2\,b^5+256\,B^2\,a^7-960\,B^2\,a^5\,b^2+900\,B^2\,a^3\,b^4}\,1{}\mathrm{i}}{8\,a\,d}","Not used",1,"(atan((((((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(64*d^4) + (((3225*A^3*a^3*b^15*d^2 - 1088*A^3*a^5*b^13*d^2 - 3984*A^3*a^7*b^11*d^2 + 736*A^3*a^9*b^9*d^2 + 1854*B^3*a^2*b^16*d^2 - 3456*B^3*a^4*b^14*d^2 - 2910*B^3*a^6*b^12*d^2 + 2304*B^3*a^8*b^10*d^2 - 96*B^3*a^10*b^8*d^2 + (295*A^2*B*b^18*d^2)/2 - 407*A^3*a*b^17*d^2 + 1178*A*B^2*a*b^17*d^2 - 10572*A*B^2*a^3*b^15*d^2 + 1930*A*B^2*a^5*b^13*d^2 + 11472*A*B^2*a^7*b^11*d^2 - 2208*A*B^2*a^9*b^9*d^2 - 4716*A^2*B*a^2*b^16*d^2 + (22193*A^2*B*a^4*b^14*d^2)/2 + 8568*A^2*B*a^6*b^12*d^2 - 7104*A^2*B*a^8*b^10*d^2 + 288*A^2*B*a^10*b^8*d^2)/(16*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(64*d^4) - (((160*A*b^13*d^4 + 832*B*a*b^12*d^4 - 864*A*a^2*b^11*d^4 - 1024*A*a^4*b^9*d^4 + 448*B*a^3*b^10*d^4 - 384*B*a^5*b^8*d^4)/(16*d^5) - ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(1024*a*d^5))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2)*1i)/(a*d) + ((((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(64*d^4) - (((3225*A^3*a^3*b^15*d^2 - 1088*A^3*a^5*b^13*d^2 - 3984*A^3*a^7*b^11*d^2 + 736*A^3*a^9*b^9*d^2 + 1854*B^3*a^2*b^16*d^2 - 3456*B^3*a^4*b^14*d^2 - 2910*B^3*a^6*b^12*d^2 + 2304*B^3*a^8*b^10*d^2 - 96*B^3*a^10*b^8*d^2 + (295*A^2*B*b^18*d^2)/2 - 407*A^3*a*b^17*d^2 + 1178*A*B^2*a*b^17*d^2 - 10572*A*B^2*a^3*b^15*d^2 + 1930*A*B^2*a^5*b^13*d^2 + 11472*A*B^2*a^7*b^11*d^2 - 2208*A*B^2*a^9*b^9*d^2 - 4716*A^2*B*a^2*b^16*d^2 + (22193*A^2*B*a^4*b^14*d^2)/2 + 8568*A^2*B*a^6*b^12*d^2 - 7104*A^2*B*a^8*b^10*d^2 + 288*A^2*B*a^10*b^8*d^2)/(16*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(64*d^4) + (((160*A*b^13*d^4 + 832*B*a*b^12*d^4 - 864*A*a^2*b^11*d^4 - 1024*A*a^4*b^9*d^4 + 448*B*a^3*b^10*d^4 - 384*B*a^5*b^8*d^4)/(16*d^5) + ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(1024*a*d^5))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2)*1i)/(a*d))/(((55*A^5*b^23)/4 + 20*A*B^4*b^23 + 120*B^5*a*b^22 + (135*A^3*B^2*b^23)/4 + 60*A^5*a^2*b^21 - (2045*A^5*a^4*b^19)/2 - 2550*A^5*a^6*b^17 - (5125*A^5*a^8*b^15)/4 + 620*A^5*a^10*b^13 + 260*A^5*a^12*b^11 - 160*A^5*a^14*b^9 - 19*B^5*a^3*b^20 + 336*B^5*a^5*b^18 + 1818*B^5*a^7*b^16 + 1448*B^5*a^9*b^14 - 399*B^5*a^11*b^12 - 504*B^5*a^13*b^10 + 1527*A^2*B^3*a^3*b^20 + (2889*A^2*B^3*a^5*b^18)/2 - 2582*A^2*B^3*a^7*b^16 - (13603*A^2*B^3*a^9*b^14)/4 - 99*A^2*B^3*a^11*b^12 + 592*A^2*B^3*a^13*b^10 - 64*A^2*B^3*a^15*b^8 - 430*A^3*B^2*a^2*b^21 - (245*A^3*B^2*a^4*b^19)/2 + 446*A^3*B^2*a^6*b^17 - (10165*A^3*B^2*a^8*b^15)/4 - 4366*A^3*B^2*a^10*b^13 - 1528*A^3*B^2*a^12*b^11 + 192*A^3*B^2*a^14*b^9 + (105*A^4*B*a*b^22)/4 - 490*A*B^4*a^2*b^21 + 900*A*B^4*a^4*b^19 + 2996*A*B^4*a^6*b^17 - 1260*A*B^4*a^8*b^15 - 4986*A*B^4*a^10*b^13 - 1788*A*B^4*a^12*b^11 + 352*A*B^4*a^14*b^9 + (585*A^2*B^3*a*b^22)/4 + 1546*A^4*B*a^3*b^20 + (2217*A^4*B*a^5*b^18)/2 - 4400*A^4*B*a^7*b^16 - (19395*A^4*B*a^9*b^14)/4 + 300*A^4*B*a^11*b^12 + 1096*A^4*B*a^13*b^10 - 64*A^4*B*a^15*b^8)/d^5 - ((((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(64*d^4) + (((3225*A^3*a^3*b^15*d^2 - 1088*A^3*a^5*b^13*d^2 - 3984*A^3*a^7*b^11*d^2 + 736*A^3*a^9*b^9*d^2 + 1854*B^3*a^2*b^16*d^2 - 3456*B^3*a^4*b^14*d^2 - 2910*B^3*a^6*b^12*d^2 + 2304*B^3*a^8*b^10*d^2 - 96*B^3*a^10*b^8*d^2 + (295*A^2*B*b^18*d^2)/2 - 407*A^3*a*b^17*d^2 + 1178*A*B^2*a*b^17*d^2 - 10572*A*B^2*a^3*b^15*d^2 + 1930*A*B^2*a^5*b^13*d^2 + 11472*A*B^2*a^7*b^11*d^2 - 2208*A*B^2*a^9*b^9*d^2 - 4716*A^2*B*a^2*b^16*d^2 + (22193*A^2*B*a^4*b^14*d^2)/2 + 8568*A^2*B*a^6*b^12*d^2 - 7104*A^2*B*a^8*b^10*d^2 + 288*A^2*B*a^10*b^8*d^2)/(16*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(64*d^4) - (((160*A*b^13*d^4 + 832*B*a*b^12*d^4 - 864*A*a^2*b^11*d^4 - 1024*A*a^4*b^9*d^4 + 448*B*a^3*b^10*d^4 - 384*B*a^5*b^8*d^4)/(16*d^5) - ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(1024*a*d^5))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(a*d) + ((((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(64*d^4) - (((3225*A^3*a^3*b^15*d^2 - 1088*A^3*a^5*b^13*d^2 - 3984*A^3*a^7*b^11*d^2 + 736*A^3*a^9*b^9*d^2 + 1854*B^3*a^2*b^16*d^2 - 3456*B^3*a^4*b^14*d^2 - 2910*B^3*a^6*b^12*d^2 + 2304*B^3*a^8*b^10*d^2 - 96*B^3*a^10*b^8*d^2 + (295*A^2*B*b^18*d^2)/2 - 407*A^3*a*b^17*d^2 + 1178*A*B^2*a*b^17*d^2 - 10572*A*B^2*a^3*b^15*d^2 + 1930*A*B^2*a^5*b^13*d^2 + 11472*A*B^2*a^7*b^11*d^2 - 2208*A*B^2*a^9*b^9*d^2 - 4716*A^2*B*a^2*b^16*d^2 + (22193*A^2*B*a^4*b^14*d^2)/2 + 8568*A^2*B*a^6*b^12*d^2 - 7104*A^2*B*a^8*b^10*d^2 + 288*A^2*B*a^10*b^8*d^2)/(16*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(64*d^4) + (((160*A*b^13*d^4 + 832*B*a*b^12*d^4 - 864*A*a^2*b^11*d^4 - 1024*A*a^4*b^9*d^4 + 448*B*a^3*b^10*d^4 - 384*B*a^5*b^8*d^4)/(16*d^5) + ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(1024*a*d^5))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(16*a*d))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2))/(a*d)))*(256*B^2*a^7 + 25*A^2*a*b^6 - 400*A^2*a^3*b^4 + 1600*A^2*a^5*b^2 + 900*B^2*a^3*b^4 - 960*B^2*a^5*b^2 + 1280*A*B*a^6*b + 300*A*B*a^2*b^5 - 2560*A*B*a^4*b^3)^(1/2)*1i)/(8*a*d) - atan(((((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) - ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) + ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((55*A^5*b^23 + 80*A*B^4*b^23 + 480*B^5*a*b^22 + 135*A^3*B^2*b^23 + 240*A^5*a^2*b^21 - 4090*A^5*a^4*b^19 - 10200*A^5*a^6*b^17 - 5125*A^5*a^8*b^15 + 2480*A^5*a^10*b^13 + 1040*A^5*a^12*b^11 - 640*A^5*a^14*b^9 - 76*B^5*a^3*b^20 + 1344*B^5*a^5*b^18 + 7272*B^5*a^7*b^16 + 5792*B^5*a^9*b^14 - 1596*B^5*a^11*b^12 - 2016*B^5*a^13*b^10 + 6108*A^2*B^3*a^3*b^20 + 5778*A^2*B^3*a^5*b^18 - 10328*A^2*B^3*a^7*b^16 - 13603*A^2*B^3*a^9*b^14 - 396*A^2*B^3*a^11*b^12 + 2368*A^2*B^3*a^13*b^10 - 256*A^2*B^3*a^15*b^8 - 1720*A^3*B^2*a^2*b^21 - 490*A^3*B^2*a^4*b^19 + 1784*A^3*B^2*a^6*b^17 - 10165*A^3*B^2*a^8*b^15 - 17464*A^3*B^2*a^10*b^13 - 6112*A^3*B^2*a^12*b^11 + 768*A^3*B^2*a^14*b^9 + 105*A^4*B*a*b^22 - 1960*A*B^4*a^2*b^21 + 3600*A*B^4*a^4*b^19 + 11984*A*B^4*a^6*b^17 - 5040*A*B^4*a^8*b^15 - 19944*A*B^4*a^10*b^13 - 7152*A*B^4*a^12*b^11 + 1408*A*B^4*a^14*b^9 + 585*A^2*B^3*a*b^22 + 6184*A^4*B*a^3*b^20 + 4434*A^4*B*a^5*b^18 - 17600*A^4*B*a^7*b^16 - 19395*A^4*B*a^9*b^14 + 1200*A^4*B*a^11*b^12 + 4384*A^4*B*a^13*b^10 - 256*A^4*B*a^15*b^8)/(4*d^5) + (((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) - ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) + ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i - ((a + b*tan(c + d*x))^(1/2)*((5*A*a^2*b^3)/8 + (7*B*a^3*b^2)/4 - A*a^4*b) - (a + b*tan(c + d*x))^(3/2)*(4*B*a^2*b^2 + (5*A*a*b^3)/3 - 2*A*a^3*b) + (a + b*tan(c + d*x))^(5/2)*((11*A*b^3)/8 - A*a^2*b + (9*B*a*b^2)/4))/(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))) - atan(((((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) - ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) + ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((55*A^5*b^23 + 80*A*B^4*b^23 + 480*B^5*a*b^22 + 135*A^3*B^2*b^23 + 240*A^5*a^2*b^21 - 4090*A^5*a^4*b^19 - 10200*A^5*a^6*b^17 - 5125*A^5*a^8*b^15 + 2480*A^5*a^10*b^13 + 1040*A^5*a^12*b^11 - 640*A^5*a^14*b^9 - 76*B^5*a^3*b^20 + 1344*B^5*a^5*b^18 + 7272*B^5*a^7*b^16 + 5792*B^5*a^9*b^14 - 1596*B^5*a^11*b^12 - 2016*B^5*a^13*b^10 + 6108*A^2*B^3*a^3*b^20 + 5778*A^2*B^3*a^5*b^18 - 10328*A^2*B^3*a^7*b^16 - 13603*A^2*B^3*a^9*b^14 - 396*A^2*B^3*a^11*b^12 + 2368*A^2*B^3*a^13*b^10 - 256*A^2*B^3*a^15*b^8 - 1720*A^3*B^2*a^2*b^21 - 490*A^3*B^2*a^4*b^19 + 1784*A^3*B^2*a^6*b^17 - 10165*A^3*B^2*a^8*b^15 - 17464*A^3*B^2*a^10*b^13 - 6112*A^3*B^2*a^12*b^11 + 768*A^3*B^2*a^14*b^9 + 105*A^4*B*a*b^22 - 1960*A*B^4*a^2*b^21 + 3600*A*B^4*a^4*b^19 + 11984*A*B^4*a^6*b^17 - 5040*A*B^4*a^8*b^15 - 19944*A*B^4*a^10*b^13 - 7152*A*B^4*a^12*b^11 + 1408*A*B^4*a^14*b^9 + 585*A^2*B^3*a*b^22 + 6184*A^4*B*a^3*b^20 + 4434*A^4*B*a^5*b^18 - 17600*A^4*B*a^7*b^16 - 19395*A^4*B*a^9*b^14 + 1200*A^4*B*a^11*b^12 + 4384*A^4*B*a^13*b^10 - 256*A^4*B*a^15*b^8)/(4*d^5) + (((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) - ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (((((1280*A*b^13*d^4 + 6656*B*a*b^12*d^4 - 6912*A*a^2*b^11*d^4 - 8192*A*a^4*b^9*d^4 + 3584*B*a^3*b^10*d^4 - 3072*B*a^5*b^8*d^4)/(8*d^5) + ((2048*b^10*d^4 + 3072*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^3*b^12*d^2 - 19456*A^2*a^5*b^10*d^2 + 1280*A^2*a^7*b^8*d^2 - 2320*B^2*a^3*b^12*d^2 + 16896*B^2*a^5*b^10*d^2 - 2304*B^2*a^7*b^8*d^2 - 2048*A*B*b^15*d^2 + 4764*A^2*a*b^14*d^2 - 4864*B^2*a*b^14*d^2 + 14160*A*B*a^2*b^13*d^2 + 30720*A*B*a^4*b^11*d^2 - 18432*A*B*a^6*b^9*d^2))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - (25800*A^3*a^3*b^15*d^2 - 8704*A^3*a^5*b^13*d^2 - 31872*A^3*a^7*b^11*d^2 + 5888*A^3*a^9*b^9*d^2 + 14832*B^3*a^2*b^16*d^2 - 27648*B^3*a^4*b^14*d^2 - 23280*B^3*a^6*b^12*d^2 + 18432*B^3*a^8*b^10*d^2 - 768*B^3*a^10*b^8*d^2 + 1180*A^2*B*b^18*d^2 - 3256*A^3*a*b^17*d^2 + 9424*A*B^2*a*b^17*d^2 - 84576*A*B^2*a^3*b^15*d^2 + 15440*A*B^2*a^5*b^13*d^2 + 91776*A*B^2*a^7*b^11*d^2 - 17664*A*B^2*a^9*b^9*d^2 - 37728*A^2*B*a^2*b^16*d^2 + 88772*A^2*B*a^4*b^14*d^2 + 68544*A^2*B*a^6*b^12*d^2 - 56832*A^2*B*a^8*b^10*d^2 + 2304*A^2*B*a^10*b^8*d^2)/(8*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(153*A^4*b^20 + 128*B^4*b^20 + 231*A^2*B^2*b^20 - 7*A^4*a^2*b^18 + 9895*A^4*a^4*b^16 - 27465*A^4*a^6*b^14 + 26320*A^4*a^8*b^12 - 832*A^4*a^10*b^10 + 128*A^4*a^12*b^8 - 132*B^4*a^2*b^18 + 16380*B^4*a^4*b^16 - 25596*B^4*a^6*b^14 + 21060*B^4*a^8*b^12 - 4032*B^4*a^10*b^10 + 384*B^4*a^12*b^8 + 6811*A^2*B^2*a^2*b^18 - 61315*A^2*B^2*a^4*b^16 + 184661*A^2*B^2*a^6*b^14 - 121620*A^2*B^2*a^8*b^12 + 23296*A^2*B^2*a^10*b^10 - 300*A*B^3*a*b^19 + 600*A^3*B*a*b^19 + 17860*A*B^3*a^3*b^17 - 91700*A*B^3*a^5*b^15 + 110172*A*B^3*a^7*b^13 - 43520*A*B^3*a^9*b^11 + 4352*A*B^3*a^11*b^9 - 12860*A^3*B*a^3*b^17 + 79680*A^3*B*a^5*b^15 - 126700*A^3*B*a^7*b^13 + 40960*A^3*B*a^9*b^11 - 1280*A^3*B*a^11*b^9))/(4*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i","B"
339,1,36736,342,10.669776,"\text{Not used}","int(cot(c + d*x)^5*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}-\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}+\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}-\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}+\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{-129024\,A^5\,a^{15}\,b^{10}-102784\,A^5\,a^{13}\,b^{12}+376928\,A^5\,a^{11}\,b^{14}+482713\,A^5\,a^9\,b^{16}+94656\,A^5\,a^7\,b^{18}-10774\,A^5\,a^5\,b^{20}+27160\,A^5\,a^3\,b^{22}+565\,A^5\,a\,b^{24}-90112\,A^4\,B\,a^{16}\,b^9+457728\,A^4\,B\,a^{14}\,b^{11}+1283456\,A^4\,B\,a^{12}\,b^{13}+325200\,A^4\,B\,a^{10}\,b^{15}-797771\,A^4\,B\,a^8\,b^{17}-268200\,A^4\,B\,a^6\,b^{19}+117610\,A^4\,B\,a^4\,b^{21}-1520\,A^4\,B\,a^2\,b^{23}+25\,A^4\,B\,b^{25}-16384\,A^3\,B^2\,a^{17}\,b^8+151552\,A^3\,B^2\,a^{15}\,b^{10}-25344\,A^3\,B^2\,a^{13}\,b^{12}-870112\,A^3\,B^2\,a^{11}\,b^{14}-658487\,A^3\,B^2\,a^9\,b^{16}+375232\,A^3\,B^2\,a^7\,b^{18}+397002\,A^3\,B^2\,a^5\,b^{20}+40920\,A^3\,B^2\,a^3\,b^{22}+805\,A^3\,B^2\,a\,b^{24}-49152\,A^2\,B^3\,a^{16}\,b^9+391168\,A^2\,B^3\,a^{14}\,b^{11}+1124736\,A^2\,B^3\,a^{12}\,b^{13}+653200\,A^2\,B^3\,a^{10}\,b^{15}-144971\,A^2\,B^3\,a^8\,b^{17}-6440\,A^2\,B^3\,a^6\,b^{19}+102250\,A^2\,B^3\,a^4\,b^{21}-5040\,A^2\,B^3\,a^2\,b^{23}+25\,A^2\,B^3\,b^{25}-16384\,A\,B^4\,a^{17}\,b^8+280576\,A\,B^4\,a^{15}\,b^{10}+77440\,A\,B^4\,a^{13}\,b^{12}-1247040\,A\,B^4\,a^{11}\,b^{14}-1141200\,A\,B^4\,a^9\,b^{16}+280576\,A\,B^4\,a^7\,b^{18}+407776\,A\,B^4\,a^5\,b^{20}+13760\,A\,B^4\,a^3\,b^{22}+240\,A\,B^4\,a\,b^{24}+40960\,B^5\,a^{16}\,b^9-66560\,B^5\,a^{14}\,b^{11}-158720\,B^5\,a^{12}\,b^{13}+328000\,B^5\,a^{10}\,b^{15}+652800\,B^5\,a^8\,b^{17}+261760\,B^5\,a^6\,b^{19}-15360\,B^5\,a^4\,b^{21}-3520\,B^5\,a^2\,b^{23}}{256\,a^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}+A^2\,a^5\,d^2-B^2\,a^5\,d^2-10\,A^2\,a^3\,b^2\,d^2+10\,B^2\,a^3\,b^2\,d^2-2\,A\,B\,b^5\,d^2+5\,A^2\,a\,b^4\,d^2-5\,B^2\,a\,b^4\,d^2+20\,A\,B\,a^2\,b^3\,d^2-10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}-\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}+\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}-\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\left(\left(\left(\left(\frac{-196608\,A\,a^7\,b^8\,d^4+524288\,B\,a^6\,b^9\,d^4+229376\,A\,a^5\,b^{10}\,d^4+442368\,B\,a^4\,b^{11}\,d^4+436224\,A\,a^3\,b^{12}\,d^4-81920\,B\,a^2\,b^{13}\,d^4+10240\,A\,a\,b^{14}\,d^4}{512\,a^2\,d^5}+\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{49152\,A^3\,a^{12}\,b^8\,d^2-1179648\,A^3\,a^{10}\,b^{10}\,d^2+1489920\,A^3\,a^8\,b^{12}\,d^2+1805952\,A^3\,a^6\,b^{14}\,d^2-928868\,A^3\,a^4\,b^{16}\,d^2-16000\,A^3\,a^2\,b^{18}\,d^2+100\,A^3\,b^{20}\,d^2-1130496\,A^2\,B\,a^{11}\,b^9\,d^2+5873664\,A^2\,B\,a^9\,b^{11}\,d^2+1016320\,A^2\,B\,a^7\,b^{13}\,d^2-5453504\,A^2\,B\,a^5\,b^{15}\,d^2+543176\,A^2\,B\,a^3\,b^{17}\,d^2+8840\,A^2\,B\,a\,b^{19}\,d^2-147456\,A\,B^2\,a^{12}\,b^8\,d^2+3637248\,A\,B^2\,a^{10}\,b^{10}\,d^2-4381696\,A\,B^2\,a^8\,b^{12}\,d^2-5701888\,A\,B^2\,a^6\,b^{14}\,d^2+2411392\,A\,B^2\,a^4\,b^{16}\,d^2-53120\,A\,B^2\,a^2\,b^{18}\,d^2+376832\,B^3\,a^{11}\,b^9\,d^2-2039808\,B^3\,a^9\,b^{11}\,d^2-557056\,B^3\,a^7\,b^{13}\,d^2+1651200\,B^3\,a^5\,b^{15}\,d^2-208384\,B^3\,a^3\,b^{17}\,d^2}{512\,a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{256\,a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}+\frac{-129024\,A^5\,a^{15}\,b^{10}-102784\,A^5\,a^{13}\,b^{12}+376928\,A^5\,a^{11}\,b^{14}+482713\,A^5\,a^9\,b^{16}+94656\,A^5\,a^7\,b^{18}-10774\,A^5\,a^5\,b^{20}+27160\,A^5\,a^3\,b^{22}+565\,A^5\,a\,b^{24}-90112\,A^4\,B\,a^{16}\,b^9+457728\,A^4\,B\,a^{14}\,b^{11}+1283456\,A^4\,B\,a^{12}\,b^{13}+325200\,A^4\,B\,a^{10}\,b^{15}-797771\,A^4\,B\,a^8\,b^{17}-268200\,A^4\,B\,a^6\,b^{19}+117610\,A^4\,B\,a^4\,b^{21}-1520\,A^4\,B\,a^2\,b^{23}+25\,A^4\,B\,b^{25}-16384\,A^3\,B^2\,a^{17}\,b^8+151552\,A^3\,B^2\,a^{15}\,b^{10}-25344\,A^3\,B^2\,a^{13}\,b^{12}-870112\,A^3\,B^2\,a^{11}\,b^{14}-658487\,A^3\,B^2\,a^9\,b^{16}+375232\,A^3\,B^2\,a^7\,b^{18}+397002\,A^3\,B^2\,a^5\,b^{20}+40920\,A^3\,B^2\,a^3\,b^{22}+805\,A^3\,B^2\,a\,b^{24}-49152\,A^2\,B^3\,a^{16}\,b^9+391168\,A^2\,B^3\,a^{14}\,b^{11}+1124736\,A^2\,B^3\,a^{12}\,b^{13}+653200\,A^2\,B^3\,a^{10}\,b^{15}-144971\,A^2\,B^3\,a^8\,b^{17}-6440\,A^2\,B^3\,a^6\,b^{19}+102250\,A^2\,B^3\,a^4\,b^{21}-5040\,A^2\,B^3\,a^2\,b^{23}+25\,A^2\,B^3\,b^{25}-16384\,A\,B^4\,a^{17}\,b^8+280576\,A\,B^4\,a^{15}\,b^{10}+77440\,A\,B^4\,a^{13}\,b^{12}-1247040\,A\,B^4\,a^{11}\,b^{14}-1141200\,A\,B^4\,a^9\,b^{16}+280576\,A\,B^4\,a^7\,b^{18}+407776\,A\,B^4\,a^5\,b^{20}+13760\,A\,B^4\,a^3\,b^{22}+240\,A\,B^4\,a\,b^{24}+40960\,B^5\,a^{16}\,b^9-66560\,B^5\,a^{14}\,b^{11}-158720\,B^5\,a^{12}\,b^{13}+328000\,B^5\,a^{10}\,b^{15}+652800\,B^5\,a^8\,b^{17}+261760\,B^5\,a^6\,b^{19}-15360\,B^5\,a^4\,b^{21}-3520\,B^5\,a^2\,b^{23}}{256\,a^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(-8\,A^2\,a^5\,d^2+80\,A^2\,a^3\,b^2\,d^2-40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2+8\,B^2\,a^5\,d^2-80\,B^2\,a^3\,b^2\,d^2+40\,B^2\,a\,b^4\,d^2\right)}^2}{64}-d^4\,\left(A^4\,a^{10}+5\,A^4\,a^8\,b^2+10\,A^4\,a^6\,b^4+10\,A^4\,a^4\,b^6+5\,A^4\,a^2\,b^8+A^4\,b^{10}+2\,A^2\,B^2\,a^{10}+10\,A^2\,B^2\,a^8\,b^2+20\,A^2\,B^2\,a^6\,b^4+20\,A^2\,B^2\,a^4\,b^6+10\,A^2\,B^2\,a^2\,b^8+2\,A^2\,B^2\,b^{10}+B^4\,a^{10}+5\,B^4\,a^8\,b^2+10\,B^4\,a^6\,b^4+10\,B^4\,a^4\,b^6+5\,B^4\,a^2\,b^8+B^4\,b^{10}\right)}-A^2\,a^5\,d^2+B^2\,a^5\,d^2+10\,A^2\,a^3\,b^2\,d^2-10\,B^2\,a^3\,b^2\,d^2+2\,A\,B\,b^5\,d^2-5\,A^2\,a\,b^4\,d^2+5\,B^2\,a\,b^4\,d^2-20\,A\,B\,a^2\,b^3\,d^2+10\,A\,B\,a^4\,b\,d^2}{4\,d^4}}\,2{}\mathrm{i}-\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}\,\left(3\,B\,a^3\,b+\frac{25\,A\,a^2\,b^2}{4}-\frac{73\,B\,a\,b^3}{24}+\frac{73\,A\,b^4}{192}\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(B\,a^5\,b+\frac{7\,A\,a^4\,b^2}{4}-\frac{5\,B\,a^3\,b^3}{8}+\frac{5\,A\,a^2\,b^4}{64}\right)-{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}\,\left(3\,B\,a^4\,b+\frac{23\,A\,a^3\,b^2}{4}-\frac{55\,B\,a^2\,b^3}{24}+\frac{55\,A\,a\,b^4}{192}\right)+\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}\,\left(-64\,B\,a^3\,b-144\,A\,a^2\,b^2+88\,B\,a\,b^3+5\,A\,b^4\right)}{64\,a}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^4+a^4\,d-4\,a\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3-4\,a^3\,d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)+6\,a^2\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{32768\,a^2\,d^4}-\frac{\left(\frac{96\,A^3\,a^{12}\,b^8\,d^2-2304\,A^3\,a^{10}\,b^{10}\,d^2+2910\,A^3\,a^8\,b^{12}\,d^2+\frac{14109\,A^3\,a^6\,b^{14}\,d^2}{4}-\frac{232217\,A^3\,a^4\,b^{16}\,d^2}{128}-\frac{125\,A^3\,a^2\,b^{18}\,d^2}{4}+\frac{25\,A^3\,b^{20}\,d^2}{128}-2208\,A^2\,B\,a^{11}\,b^9\,d^2+11472\,A^2\,B\,a^9\,b^{11}\,d^2+1985\,A^2\,B\,a^7\,b^{13}\,d^2-\frac{85211\,A^2\,B\,a^5\,b^{15}\,d^2}{8}+\frac{67897\,A^2\,B\,a^3\,b^{17}\,d^2}{64}+\frac{1105\,A^2\,B\,a\,b^{19}\,d^2}{64}-288\,A\,B^2\,a^{12}\,b^8\,d^2+7104\,A\,B^2\,a^{10}\,b^{10}\,d^2-8558\,A\,B^2\,a^8\,b^{12}\,d^2-\frac{22273\,A\,B^2\,a^6\,b^{14}\,d^2}{2}+\frac{18839\,A\,B^2\,a^4\,b^{16}\,d^2}{4}-\frac{415\,A\,B^2\,a^2\,b^{18}\,d^2}{4}+736\,B^3\,a^{11}\,b^9\,d^2-3984\,B^3\,a^9\,b^{11}\,d^2-1088\,B^3\,a^7\,b^{13}\,d^2+3225\,B^3\,a^5\,b^{15}\,d^2-407\,B^3\,a^3\,b^{17}\,d^2}{128\,a^2\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{32768\,a^2\,d^4}+\frac{\left(\frac{-384\,A\,a^7\,b^8\,d^4+1024\,B\,a^6\,b^9\,d^4+448\,A\,a^5\,b^{10}\,d^4+864\,B\,a^4\,b^{11}\,d^4+852\,A\,a^3\,b^{12}\,d^4-160\,B\,a^2\,b^{13}\,d^4+20\,A\,a\,b^{14}\,d^4}{128\,a^2\,d^5}-\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{4194304\,a^5\,d^5}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}\,1{}\mathrm{i}}{a^3\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{32768\,a^2\,d^4}+\frac{\left(\frac{96\,A^3\,a^{12}\,b^8\,d^2-2304\,A^3\,a^{10}\,b^{10}\,d^2+2910\,A^3\,a^8\,b^{12}\,d^2+\frac{14109\,A^3\,a^6\,b^{14}\,d^2}{4}-\frac{232217\,A^3\,a^4\,b^{16}\,d^2}{128}-\frac{125\,A^3\,a^2\,b^{18}\,d^2}{4}+\frac{25\,A^3\,b^{20}\,d^2}{128}-2208\,A^2\,B\,a^{11}\,b^9\,d^2+11472\,A^2\,B\,a^9\,b^{11}\,d^2+1985\,A^2\,B\,a^7\,b^{13}\,d^2-\frac{85211\,A^2\,B\,a^5\,b^{15}\,d^2}{8}+\frac{67897\,A^2\,B\,a^3\,b^{17}\,d^2}{64}+\frac{1105\,A^2\,B\,a\,b^{19}\,d^2}{64}-288\,A\,B^2\,a^{12}\,b^8\,d^2+7104\,A\,B^2\,a^{10}\,b^{10}\,d^2-8558\,A\,B^2\,a^8\,b^{12}\,d^2-\frac{22273\,A\,B^2\,a^6\,b^{14}\,d^2}{2}+\frac{18839\,A\,B^2\,a^4\,b^{16}\,d^2}{4}-\frac{415\,A\,B^2\,a^2\,b^{18}\,d^2}{4}+736\,B^3\,a^{11}\,b^9\,d^2-3984\,B^3\,a^9\,b^{11}\,d^2-1088\,B^3\,a^7\,b^{13}\,d^2+3225\,B^3\,a^5\,b^{15}\,d^2-407\,B^3\,a^3\,b^{17}\,d^2}{128\,a^2\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{32768\,a^2\,d^4}-\frac{\left(\frac{-384\,A\,a^7\,b^8\,d^4+1024\,B\,a^6\,b^9\,d^4+448\,A\,a^5\,b^{10}\,d^4+864\,B\,a^4\,b^{11}\,d^4+852\,A\,a^3\,b^{12}\,d^4-160\,B\,a^2\,b^{13}\,d^4+20\,A\,a\,b^{14}\,d^4}{128\,a^2\,d^5}+\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{4194304\,a^5\,d^5}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}\,1{}\mathrm{i}}{a^3\,d}}{\frac{-504\,A^5\,a^{15}\,b^{10}-\frac{803\,A^5\,a^{13}\,b^{12}}{2}+\frac{11779\,A^5\,a^{11}\,b^{14}}{8}+\frac{482713\,A^5\,a^9\,b^{16}}{256}+\frac{1479\,A^5\,a^7\,b^{18}}{4}-\frac{5387\,A^5\,a^5\,b^{20}}{128}+\frac{3395\,A^5\,a^3\,b^{22}}{32}+\frac{565\,A^5\,a\,b^{24}}{256}-352\,A^4\,B\,a^{16}\,b^9+1788\,A^4\,B\,a^{14}\,b^{11}+\frac{10027\,A^4\,B\,a^{12}\,b^{13}}{2}+\frac{20325\,A^4\,B\,a^{10}\,b^{15}}{16}-\frac{797771\,A^4\,B\,a^8\,b^{17}}{256}-\frac{33525\,A^4\,B\,a^6\,b^{19}}{32}+\frac{58805\,A^4\,B\,a^4\,b^{21}}{128}-\frac{95\,A^4\,B\,a^2\,b^{23}}{16}+\frac{25\,A^4\,B\,b^{25}}{256}-64\,A^3\,B^2\,a^{17}\,b^8+592\,A^3\,B^2\,a^{15}\,b^{10}-99\,A^3\,B^2\,a^{13}\,b^{12}-\frac{27191\,A^3\,B^2\,a^{11}\,b^{14}}{8}-\frac{658487\,A^3\,B^2\,a^9\,b^{16}}{256}+\frac{5863\,A^3\,B^2\,a^7\,b^{18}}{4}+\frac{198501\,A^3\,B^2\,a^5\,b^{20}}{128}+\frac{5115\,A^3\,B^2\,a^3\,b^{22}}{32}+\frac{805\,A^3\,B^2\,a\,b^{24}}{256}-192\,A^2\,B^3\,a^{16}\,b^9+1528\,A^2\,B^3\,a^{14}\,b^{11}+\frac{8787\,A^2\,B^3\,a^{12}\,b^{13}}{2}+\frac{40825\,A^2\,B^3\,a^{10}\,b^{15}}{16}-\frac{144971\,A^2\,B^3\,a^8\,b^{17}}{256}-\frac{805\,A^2\,B^3\,a^6\,b^{19}}{32}+\frac{51125\,A^2\,B^3\,a^4\,b^{21}}{128}-\frac{315\,A^2\,B^3\,a^2\,b^{23}}{16}+\frac{25\,A^2\,B^3\,b^{25}}{256}-64\,A\,B^4\,a^{17}\,b^8+1096\,A\,B^4\,a^{15}\,b^{10}+\frac{605\,A\,B^4\,a^{13}\,b^{12}}{2}-\frac{19485\,A\,B^4\,a^{11}\,b^{14}}{4}-\frac{71325\,A\,B^4\,a^9\,b^{16}}{16}+1096\,A\,B^4\,a^7\,b^{18}+\frac{12743\,A\,B^4\,a^5\,b^{20}}{8}+\frac{215\,A\,B^4\,a^3\,b^{22}}{4}+\frac{15\,A\,B^4\,a\,b^{24}}{16}+160\,B^5\,a^{16}\,b^9-260\,B^5\,a^{14}\,b^{11}-620\,B^5\,a^{12}\,b^{13}+\frac{5125\,B^5\,a^{10}\,b^{15}}{4}+2550\,B^5\,a^8\,b^{17}+\frac{2045\,B^5\,a^6\,b^{19}}{2}-60\,B^5\,a^4\,b^{21}-\frac{55\,B^5\,a^2\,b^{23}}{4}}{a^2\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{32768\,a^2\,d^4}-\frac{\left(\frac{96\,A^3\,a^{12}\,b^8\,d^2-2304\,A^3\,a^{10}\,b^{10}\,d^2+2910\,A^3\,a^8\,b^{12}\,d^2+\frac{14109\,A^3\,a^6\,b^{14}\,d^2}{4}-\frac{232217\,A^3\,a^4\,b^{16}\,d^2}{128}-\frac{125\,A^3\,a^2\,b^{18}\,d^2}{4}+\frac{25\,A^3\,b^{20}\,d^2}{128}-2208\,A^2\,B\,a^{11}\,b^9\,d^2+11472\,A^2\,B\,a^9\,b^{11}\,d^2+1985\,A^2\,B\,a^7\,b^{13}\,d^2-\frac{85211\,A^2\,B\,a^5\,b^{15}\,d^2}{8}+\frac{67897\,A^2\,B\,a^3\,b^{17}\,d^2}{64}+\frac{1105\,A^2\,B\,a\,b^{19}\,d^2}{64}-288\,A\,B^2\,a^{12}\,b^8\,d^2+7104\,A\,B^2\,a^{10}\,b^{10}\,d^2-8558\,A\,B^2\,a^8\,b^{12}\,d^2-\frac{22273\,A\,B^2\,a^6\,b^{14}\,d^2}{2}+\frac{18839\,A\,B^2\,a^4\,b^{16}\,d^2}{4}-\frac{415\,A\,B^2\,a^2\,b^{18}\,d^2}{4}+736\,B^3\,a^{11}\,b^9\,d^2-3984\,B^3\,a^9\,b^{11}\,d^2-1088\,B^3\,a^7\,b^{13}\,d^2+3225\,B^3\,a^5\,b^{15}\,d^2-407\,B^3\,a^3\,b^{17}\,d^2}{128\,a^2\,d^5}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{32768\,a^2\,d^4}+\frac{\left(\frac{-384\,A\,a^7\,b^8\,d^4+1024\,B\,a^6\,b^9\,d^4+448\,A\,a^5\,b^{10}\,d^4+864\,B\,a^4\,b^{11}\,d^4+852\,A\,a^3\,b^{12}\,d^4-160\,B\,a^2\,b^{13}\,d^4+20\,A\,a\,b^{14}\,d^4}{128\,a^2\,d^5}-\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{4194304\,a^5\,d^5}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{a^3\,d}+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(24576\,A^4\,a^{14}\,b^8-258048\,A^4\,a^{12}\,b^{10}+1346560\,A^4\,a^{10}\,b^{12}-1616544\,A^4\,a^8\,b^{14}+993145\,A^4\,a^6\,b^{16}+28457\,A^4\,a^4\,b^{18}+6167\,A^4\,a^2\,b^{20}-25\,A^4\,b^{22}-278528\,A^3\,B\,a^{13}\,b^9+2785280\,A^3\,B\,a^{11}\,b^{11}-7032448\,A^3\,B\,a^9\,b^{13}+5740400\,A^3\,B\,a^7\,b^{15}-977980\,A^3\,B\,a^5\,b^{17}-17800\,A^3\,B\,a^3\,b^{19}+100\,A^3\,B\,a\,b^{21}+1490944\,A^2\,B^2\,a^{12}\,b^{10}-7782400\,A^2\,B^2\,a^{10}\,b^{12}+11758304\,A^2\,B^2\,a^8\,b^{14}-3736185\,A^2\,B^2\,a^6\,b^{16}+344599\,A^2\,B^2\,a^4\,b^{18}+21609\,A^2\,B^2\,a^2\,b^{20}+25\,A^2\,B^2\,b^{22}+81920\,A\,B^3\,a^{13}\,b^9-2621440\,A\,B^3\,a^{11}\,b^{11}+8105600\,A\,B^3\,a^9\,b^{13}-5051120\,A\,B^3\,a^7\,b^{15}+769040\,A\,B^3\,a^5\,b^{17}-29200\,A\,B^3\,a^3\,b^{19}-400\,A\,B^3\,a\,b^{21}+8192\,B^4\,a^{14}\,b^8-53248\,B^4\,a^{12}\,b^{10}+1684480\,B^4\,a^{10}\,b^{12}-1757760\,B^4\,a^8\,b^{14}+633280\,B^4\,a^6\,b^{16}-448\,B^4\,a^4\,b^{18}+9792\,B^4\,a^2\,b^{20}\right)}{32768\,a^2\,d^4}+\frac{\left(\frac{96\,A^3\,a^{12}\,b^8\,d^2-2304\,A^3\,a^{10}\,b^{10}\,d^2+2910\,A^3\,a^8\,b^{12}\,d^2+\frac{14109\,A^3\,a^6\,b^{14}\,d^2}{4}-\frac{232217\,A^3\,a^4\,b^{16}\,d^2}{128}-\frac{125\,A^3\,a^2\,b^{18}\,d^2}{4}+\frac{25\,A^3\,b^{20}\,d^2}{128}-2208\,A^2\,B\,a^{11}\,b^9\,d^2+11472\,A^2\,B\,a^9\,b^{11}\,d^2+1985\,A^2\,B\,a^7\,b^{13}\,d^2-\frac{85211\,A^2\,B\,a^5\,b^{15}\,d^2}{8}+\frac{67897\,A^2\,B\,a^3\,b^{17}\,d^2}{64}+\frac{1105\,A^2\,B\,a\,b^{19}\,d^2}{64}-288\,A\,B^2\,a^{12}\,b^8\,d^2+7104\,A\,B^2\,a^{10}\,b^{10}\,d^2-8558\,A\,B^2\,a^8\,b^{12}\,d^2-\frac{22273\,A\,B^2\,a^6\,b^{14}\,d^2}{2}+\frac{18839\,A\,B^2\,a^4\,b^{16}\,d^2}{4}-\frac{415\,A\,B^2\,a^2\,b^{18}\,d^2}{4}+736\,B^3\,a^{11}\,b^9\,d^2-3984\,B^3\,a^9\,b^{11}\,d^2-1088\,B^3\,a^7\,b^{13}\,d^2+3225\,B^3\,a^5\,b^{15}\,d^2-407\,B^3\,a^3\,b^{17}\,d^2}{128\,a^2\,d^5}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(147456\,A^2\,a^9\,b^8\,d^2-1081344\,A^2\,a^7\,b^{10}\,d^2+143360\,A^2\,a^5\,b^{12}\,d^2+320896\,A^2\,a^3\,b^{14}\,d^2+100\,A^2\,a\,b^{16}\,d^2-1179648\,A\,B\,a^8\,b^9\,d^2+1966080\,A\,B\,a^6\,b^{11}\,d^2+919040\,A\,B\,a^4\,b^{13}\,d^2-132672\,A\,B\,a^2\,b^{15}\,d^2-81920\,B^2\,a^9\,b^8\,d^2+1245184\,B^2\,a^7\,b^{10}\,d^2-20480\,B^2\,a^5\,b^{12}\,d^2-304896\,B^2\,a^3\,b^{14}\,d^2\right)}{32768\,a^2\,d^4}-\frac{\left(\frac{-384\,A\,a^7\,b^8\,d^4+1024\,B\,a^6\,b^9\,d^4+448\,A\,a^5\,b^{10}\,d^4+864\,B\,a^4\,b^{11}\,d^4+852\,A\,a^3\,b^{12}\,d^4-160\,B\,a^2\,b^{13}\,d^4+20\,A\,a\,b^{14}\,d^4}{128\,a^2\,d^5}+\frac{\left(196608\,a^4\,b^8\,d^4+131072\,a^2\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{4194304\,a^5\,d^5}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{128\,a^3\,d}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}}{a^3\,d}}\right)\,\sqrt{16384\,A^2\,a^{11}-61440\,A^2\,a^9\,b^2+56320\,A^2\,a^7\,b^4+2400\,A^2\,a^5\,b^6+25\,A^2\,a^3\,b^8-81920\,A\,B\,a^{10}\,b+163840\,A\,B\,a^8\,b^3-16000\,A\,B\,a^6\,b^5-400\,A\,B\,a^4\,b^7+102400\,B^2\,a^9\,b^2-25600\,B^2\,a^7\,b^4+1600\,B^2\,a^5\,b^6}\,1{}\mathrm{i}}{64\,a^3\,d}","Not used",1,"atan(((((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) - ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) + ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) - ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) + ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (25*A^4*B*b^25 + 565*A^5*a*b^24 + 25*A^2*B^3*b^25 + 27160*A^5*a^3*b^22 - 10774*A^5*a^5*b^20 + 94656*A^5*a^7*b^18 + 482713*A^5*a^9*b^16 + 376928*A^5*a^11*b^14 - 102784*A^5*a^13*b^12 - 129024*A^5*a^15*b^10 - 3520*B^5*a^2*b^23 - 15360*B^5*a^4*b^21 + 261760*B^5*a^6*b^19 + 652800*B^5*a^8*b^17 + 328000*B^5*a^10*b^15 - 158720*B^5*a^12*b^13 - 66560*B^5*a^14*b^11 + 40960*B^5*a^16*b^9 - 5040*A^2*B^3*a^2*b^23 + 102250*A^2*B^3*a^4*b^21 - 6440*A^2*B^3*a^6*b^19 - 144971*A^2*B^3*a^8*b^17 + 653200*A^2*B^3*a^10*b^15 + 1124736*A^2*B^3*a^12*b^13 + 391168*A^2*B^3*a^14*b^11 - 49152*A^2*B^3*a^16*b^9 + 40920*A^3*B^2*a^3*b^22 + 397002*A^3*B^2*a^5*b^20 + 375232*A^3*B^2*a^7*b^18 - 658487*A^3*B^2*a^9*b^16 - 870112*A^3*B^2*a^11*b^14 - 25344*A^3*B^2*a^13*b^12 + 151552*A^3*B^2*a^15*b^10 - 16384*A^3*B^2*a^17*b^8 + 240*A*B^4*a*b^24 + 13760*A*B^4*a^3*b^22 + 407776*A*B^4*a^5*b^20 + 280576*A*B^4*a^7*b^18 - 1141200*A*B^4*a^9*b^16 - 1247040*A*B^4*a^11*b^14 + 77440*A*B^4*a^13*b^12 + 280576*A*B^4*a^15*b^10 - 16384*A*B^4*a^17*b^8 + 805*A^3*B^2*a*b^24 - 1520*A^4*B*a^2*b^23 + 117610*A^4*B*a^4*b^21 - 268200*A^4*B*a^6*b^19 - 797771*A^4*B*a^8*b^17 + 325200*A^4*B*a^10*b^15 + 1283456*A^4*B*a^12*b^13 + 457728*A^4*B*a^14*b^11 - 90112*A^4*B*a^16*b^9)/(256*a^2*d^5)))*((((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) + A^2*a^5*d^2 - B^2*a^5*d^2 - 10*A^2*a^3*b^2*d^2 + 10*B^2*a^3*b^2*d^2 - 2*A*B*b^5*d^2 + 5*A^2*a*b^4*d^2 - 5*B^2*a*b^4*d^2 + 20*A*B*a^2*b^3*d^2 - 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i + atan(((((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) - ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i - (((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) + ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*1i)/((((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) - ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (((((10240*A*a*b^14*d^4 + 436224*A*a^3*b^12*d^4 + 229376*A*a^5*b^10*d^4 - 196608*A*a^7*b^8*d^4 - 81920*B*a^2*b^13*d^4 + 442368*B*a^4*b^11*d^4 + 524288*B*a^6*b^9*d^4)/(512*a^2*d^5) + ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (100*A^3*b^20*d^2 - 16000*A^3*a^2*b^18*d^2 - 928868*A^3*a^4*b^16*d^2 + 1805952*A^3*a^6*b^14*d^2 + 1489920*A^3*a^8*b^12*d^2 - 1179648*A^3*a^10*b^10*d^2 + 49152*A^3*a^12*b^8*d^2 - 208384*B^3*a^3*b^17*d^2 + 1651200*B^3*a^5*b^15*d^2 - 557056*B^3*a^7*b^13*d^2 - 2039808*B^3*a^9*b^11*d^2 + 376832*B^3*a^11*b^9*d^2 + 8840*A^2*B*a*b^19*d^2 - 53120*A*B^2*a^2*b^18*d^2 + 2411392*A*B^2*a^4*b^16*d^2 - 5701888*A*B^2*a^6*b^14*d^2 - 4381696*A*B^2*a^8*b^12*d^2 + 3637248*A*B^2*a^10*b^10*d^2 - 147456*A*B^2*a^12*b^8*d^2 + 543176*A^2*B*a^3*b^17*d^2 - 5453504*A^2*B*a^5*b^15*d^2 + 1016320*A^2*B*a^7*b^13*d^2 + 5873664*A^2*B*a^9*b^11*d^2 - 1130496*A^2*B*a^11*b^9*d^2)/(512*a^2*d^5))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(256*a^2*d^4))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2) + (25*A^4*B*b^25 + 565*A^5*a*b^24 + 25*A^2*B^3*b^25 + 27160*A^5*a^3*b^22 - 10774*A^5*a^5*b^20 + 94656*A^5*a^7*b^18 + 482713*A^5*a^9*b^16 + 376928*A^5*a^11*b^14 - 102784*A^5*a^13*b^12 - 129024*A^5*a^15*b^10 - 3520*B^5*a^2*b^23 - 15360*B^5*a^4*b^21 + 261760*B^5*a^6*b^19 + 652800*B^5*a^8*b^17 + 328000*B^5*a^10*b^15 - 158720*B^5*a^12*b^13 - 66560*B^5*a^14*b^11 + 40960*B^5*a^16*b^9 - 5040*A^2*B^3*a^2*b^23 + 102250*A^2*B^3*a^4*b^21 - 6440*A^2*B^3*a^6*b^19 - 144971*A^2*B^3*a^8*b^17 + 653200*A^2*B^3*a^10*b^15 + 1124736*A^2*B^3*a^12*b^13 + 391168*A^2*B^3*a^14*b^11 - 49152*A^2*B^3*a^16*b^9 + 40920*A^3*B^2*a^3*b^22 + 397002*A^3*B^2*a^5*b^20 + 375232*A^3*B^2*a^7*b^18 - 658487*A^3*B^2*a^9*b^16 - 870112*A^3*B^2*a^11*b^14 - 25344*A^3*B^2*a^13*b^12 + 151552*A^3*B^2*a^15*b^10 - 16384*A^3*B^2*a^17*b^8 + 240*A*B^4*a*b^24 + 13760*A*B^4*a^3*b^22 + 407776*A*B^4*a^5*b^20 + 280576*A*B^4*a^7*b^18 - 1141200*A*B^4*a^9*b^16 - 1247040*A*B^4*a^11*b^14 + 77440*A*B^4*a^13*b^12 + 280576*A*B^4*a^15*b^10 - 16384*A*B^4*a^17*b^8 + 805*A^3*B^2*a*b^24 - 1520*A^4*B*a^2*b^23 + 117610*A^4*B*a^4*b^21 - 268200*A^4*B*a^6*b^19 - 797771*A^4*B*a^8*b^17 + 325200*A^4*B*a^10*b^15 + 1283456*A^4*B*a^12*b^13 + 457728*A^4*B*a^14*b^11 - 90112*A^4*B*a^16*b^9)/(256*a^2*d^5)))*(-(((8*B^2*a^5*d^2 - 8*A^2*a^5*d^2 + 80*A^2*a^3*b^2*d^2 - 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 - 40*A^2*a*b^4*d^2 + 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/64 - d^4*(A^4*a^10 + A^4*b^10 + B^4*a^10 + B^4*b^10 + 2*A^2*B^2*a^10 + 2*A^2*B^2*b^10 + 5*A^4*a^2*b^8 + 10*A^4*a^4*b^6 + 10*A^4*a^6*b^4 + 5*A^4*a^8*b^2 + 5*B^4*a^2*b^8 + 10*B^4*a^4*b^6 + 10*B^4*a^6*b^4 + 5*B^4*a^8*b^2 + 10*A^2*B^2*a^2*b^8 + 20*A^2*B^2*a^4*b^6 + 20*A^2*B^2*a^6*b^4 + 10*A^2*B^2*a^8*b^2))^(1/2) - A^2*a^5*d^2 + B^2*a^5*d^2 + 10*A^2*a^3*b^2*d^2 - 10*B^2*a^3*b^2*d^2 + 2*A*B*b^5*d^2 - 5*A^2*a*b^4*d^2 + 5*B^2*a*b^4*d^2 - 20*A*B*a^2*b^3*d^2 + 10*A*B*a^4*b*d^2)/(4*d^4))^(1/2)*2i - ((a + b*tan(c + d*x))^(5/2)*((73*A*b^4)/192 + (25*A*a^2*b^2)/4 - (73*B*a*b^3)/24 + 3*B*a^3*b) + (a + b*tan(c + d*x))^(1/2)*((5*A*a^2*b^4)/64 + (7*A*a^4*b^2)/4 - (5*B*a^3*b^3)/8 + B*a^5*b) - (a + b*tan(c + d*x))^(3/2)*((23*A*a^3*b^2)/4 - (55*B*a^2*b^3)/24 + (55*A*a*b^4)/192 + 3*B*a^4*b) + ((a + b*tan(c + d*x))^(7/2)*(5*A*b^4 - 144*A*a^2*b^2 + 88*B*a*b^3 - 64*B*a^3*b))/(64*a))/(d*(a + b*tan(c + d*x))^4 + a^4*d - 4*a*d*(a + b*tan(c + d*x))^3 - 4*a^3*d*(a + b*tan(c + d*x)) + 6*a^2*d*(a + b*tan(c + d*x))^2) - (atan((((((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(32768*a^2*d^4) - ((((25*A^3*b^20*d^2)/128 - (125*A^3*a^2*b^18*d^2)/4 - (232217*A^3*a^4*b^16*d^2)/128 + (14109*A^3*a^6*b^14*d^2)/4 + 2910*A^3*a^8*b^12*d^2 - 2304*A^3*a^10*b^10*d^2 + 96*A^3*a^12*b^8*d^2 - 407*B^3*a^3*b^17*d^2 + 3225*B^3*a^5*b^15*d^2 - 1088*B^3*a^7*b^13*d^2 - 3984*B^3*a^9*b^11*d^2 + 736*B^3*a^11*b^9*d^2 + (1105*A^2*B*a*b^19*d^2)/64 - (415*A*B^2*a^2*b^18*d^2)/4 + (18839*A*B^2*a^4*b^16*d^2)/4 - (22273*A*B^2*a^6*b^14*d^2)/2 - 8558*A*B^2*a^8*b^12*d^2 + 7104*A*B^2*a^10*b^10*d^2 - 288*A*B^2*a^12*b^8*d^2 + (67897*A^2*B*a^3*b^17*d^2)/64 - (85211*A^2*B*a^5*b^15*d^2)/8 + 1985*A^2*B*a^7*b^13*d^2 + 11472*A^2*B*a^9*b^11*d^2 - 2208*A^2*B*a^11*b^9*d^2)/(128*a^2*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(32768*a^2*d^4) + (((20*A*a*b^14*d^4 + 852*A*a^3*b^12*d^4 + 448*A*a^5*b^10*d^4 - 384*A*a^7*b^8*d^4 - 160*B*a^2*b^13*d^4 + 864*B*a^4*b^11*d^4 + 1024*B*a^6*b^9*d^4)/(128*a^2*d^5) - ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(4194304*a^5*d^5))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2)*1i)/(a^3*d) + ((((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(32768*a^2*d^4) + ((((25*A^3*b^20*d^2)/128 - (125*A^3*a^2*b^18*d^2)/4 - (232217*A^3*a^4*b^16*d^2)/128 + (14109*A^3*a^6*b^14*d^2)/4 + 2910*A^3*a^8*b^12*d^2 - 2304*A^3*a^10*b^10*d^2 + 96*A^3*a^12*b^8*d^2 - 407*B^3*a^3*b^17*d^2 + 3225*B^3*a^5*b^15*d^2 - 1088*B^3*a^7*b^13*d^2 - 3984*B^3*a^9*b^11*d^2 + 736*B^3*a^11*b^9*d^2 + (1105*A^2*B*a*b^19*d^2)/64 - (415*A*B^2*a^2*b^18*d^2)/4 + (18839*A*B^2*a^4*b^16*d^2)/4 - (22273*A*B^2*a^6*b^14*d^2)/2 - 8558*A*B^2*a^8*b^12*d^2 + 7104*A*B^2*a^10*b^10*d^2 - 288*A*B^2*a^12*b^8*d^2 + (67897*A^2*B*a^3*b^17*d^2)/64 - (85211*A^2*B*a^5*b^15*d^2)/8 + 1985*A^2*B*a^7*b^13*d^2 + 11472*A^2*B*a^9*b^11*d^2 - 2208*A^2*B*a^11*b^9*d^2)/(128*a^2*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(32768*a^2*d^4) - (((20*A*a*b^14*d^4 + 852*A*a^3*b^12*d^4 + 448*A*a^5*b^10*d^4 - 384*A*a^7*b^8*d^4 - 160*B*a^2*b^13*d^4 + 864*B*a^4*b^11*d^4 + 1024*B*a^6*b^9*d^4)/(128*a^2*d^5) + ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(4194304*a^5*d^5))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2)*1i)/(a^3*d))/(((25*A^4*B*b^25)/256 + (565*A^5*a*b^24)/256 + (25*A^2*B^3*b^25)/256 + (3395*A^5*a^3*b^22)/32 - (5387*A^5*a^5*b^20)/128 + (1479*A^5*a^7*b^18)/4 + (482713*A^5*a^9*b^16)/256 + (11779*A^5*a^11*b^14)/8 - (803*A^5*a^13*b^12)/2 - 504*A^5*a^15*b^10 - (55*B^5*a^2*b^23)/4 - 60*B^5*a^4*b^21 + (2045*B^5*a^6*b^19)/2 + 2550*B^5*a^8*b^17 + (5125*B^5*a^10*b^15)/4 - 620*B^5*a^12*b^13 - 260*B^5*a^14*b^11 + 160*B^5*a^16*b^9 - (315*A^2*B^3*a^2*b^23)/16 + (51125*A^2*B^3*a^4*b^21)/128 - (805*A^2*B^3*a^6*b^19)/32 - (144971*A^2*B^3*a^8*b^17)/256 + (40825*A^2*B^3*a^10*b^15)/16 + (8787*A^2*B^3*a^12*b^13)/2 + 1528*A^2*B^3*a^14*b^11 - 192*A^2*B^3*a^16*b^9 + (5115*A^3*B^2*a^3*b^22)/32 + (198501*A^3*B^2*a^5*b^20)/128 + (5863*A^3*B^2*a^7*b^18)/4 - (658487*A^3*B^2*a^9*b^16)/256 - (27191*A^3*B^2*a^11*b^14)/8 - 99*A^3*B^2*a^13*b^12 + 592*A^3*B^2*a^15*b^10 - 64*A^3*B^2*a^17*b^8 + (15*A*B^4*a*b^24)/16 + (215*A*B^4*a^3*b^22)/4 + (12743*A*B^4*a^5*b^20)/8 + 1096*A*B^4*a^7*b^18 - (71325*A*B^4*a^9*b^16)/16 - (19485*A*B^4*a^11*b^14)/4 + (605*A*B^4*a^13*b^12)/2 + 1096*A*B^4*a^15*b^10 - 64*A*B^4*a^17*b^8 + (805*A^3*B^2*a*b^24)/256 - (95*A^4*B*a^2*b^23)/16 + (58805*A^4*B*a^4*b^21)/128 - (33525*A^4*B*a^6*b^19)/32 - (797771*A^4*B*a^8*b^17)/256 + (20325*A^4*B*a^10*b^15)/16 + (10027*A^4*B*a^12*b^13)/2 + 1788*A^4*B*a^14*b^11 - 352*A^4*B*a^16*b^9)/(a^2*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(32768*a^2*d^4) - ((((25*A^3*b^20*d^2)/128 - (125*A^3*a^2*b^18*d^2)/4 - (232217*A^3*a^4*b^16*d^2)/128 + (14109*A^3*a^6*b^14*d^2)/4 + 2910*A^3*a^8*b^12*d^2 - 2304*A^3*a^10*b^10*d^2 + 96*A^3*a^12*b^8*d^2 - 407*B^3*a^3*b^17*d^2 + 3225*B^3*a^5*b^15*d^2 - 1088*B^3*a^7*b^13*d^2 - 3984*B^3*a^9*b^11*d^2 + 736*B^3*a^11*b^9*d^2 + (1105*A^2*B*a*b^19*d^2)/64 - (415*A*B^2*a^2*b^18*d^2)/4 + (18839*A*B^2*a^4*b^16*d^2)/4 - (22273*A*B^2*a^6*b^14*d^2)/2 - 8558*A*B^2*a^8*b^12*d^2 + 7104*A*B^2*a^10*b^10*d^2 - 288*A*B^2*a^12*b^8*d^2 + (67897*A^2*B*a^3*b^17*d^2)/64 - (85211*A^2*B*a^5*b^15*d^2)/8 + 1985*A^2*B*a^7*b^13*d^2 + 11472*A^2*B*a^9*b^11*d^2 - 2208*A^2*B*a^11*b^9*d^2)/(128*a^2*d^5) + ((((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(32768*a^2*d^4) + (((20*A*a*b^14*d^4 + 852*A*a^3*b^12*d^4 + 448*A*a^5*b^10*d^4 - 384*A*a^7*b^8*d^4 - 160*B*a^2*b^13*d^4 + 864*B*a^4*b^11*d^4 + 1024*B*a^6*b^9*d^4)/(128*a^2*d^5) - ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(4194304*a^5*d^5))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(a^3*d) + ((((a + b*tan(c + d*x))^(1/2)*(25*A^2*B^2*b^22 - 25*A^4*b^22 + 6167*A^4*a^2*b^20 + 28457*A^4*a^4*b^18 + 993145*A^4*a^6*b^16 - 1616544*A^4*a^8*b^14 + 1346560*A^4*a^10*b^12 - 258048*A^4*a^12*b^10 + 24576*A^4*a^14*b^8 + 9792*B^4*a^2*b^20 - 448*B^4*a^4*b^18 + 633280*B^4*a^6*b^16 - 1757760*B^4*a^8*b^14 + 1684480*B^4*a^10*b^12 - 53248*B^4*a^12*b^10 + 8192*B^4*a^14*b^8 + 21609*A^2*B^2*a^2*b^20 + 344599*A^2*B^2*a^4*b^18 - 3736185*A^2*B^2*a^6*b^16 + 11758304*A^2*B^2*a^8*b^14 - 7782400*A^2*B^2*a^10*b^12 + 1490944*A^2*B^2*a^12*b^10 - 400*A*B^3*a*b^21 + 100*A^3*B*a*b^21 - 29200*A*B^3*a^3*b^19 + 769040*A*B^3*a^5*b^17 - 5051120*A*B^3*a^7*b^15 + 8105600*A*B^3*a^9*b^13 - 2621440*A*B^3*a^11*b^11 + 81920*A*B^3*a^13*b^9 - 17800*A^3*B*a^3*b^19 - 977980*A^3*B*a^5*b^17 + 5740400*A^3*B*a^7*b^15 - 7032448*A^3*B*a^9*b^13 + 2785280*A^3*B*a^11*b^11 - 278528*A^3*B*a^13*b^9))/(32768*a^2*d^4) + ((((25*A^3*b^20*d^2)/128 - (125*A^3*a^2*b^18*d^2)/4 - (232217*A^3*a^4*b^16*d^2)/128 + (14109*A^3*a^6*b^14*d^2)/4 + 2910*A^3*a^8*b^12*d^2 - 2304*A^3*a^10*b^10*d^2 + 96*A^3*a^12*b^8*d^2 - 407*B^3*a^3*b^17*d^2 + 3225*B^3*a^5*b^15*d^2 - 1088*B^3*a^7*b^13*d^2 - 3984*B^3*a^9*b^11*d^2 + 736*B^3*a^11*b^9*d^2 + (1105*A^2*B*a*b^19*d^2)/64 - (415*A*B^2*a^2*b^18*d^2)/4 + (18839*A*B^2*a^4*b^16*d^2)/4 - (22273*A*B^2*a^6*b^14*d^2)/2 - 8558*A*B^2*a^8*b^12*d^2 + 7104*A*B^2*a^10*b^10*d^2 - 288*A*B^2*a^12*b^8*d^2 + (67897*A^2*B*a^3*b^17*d^2)/64 - (85211*A^2*B*a^5*b^15*d^2)/8 + 1985*A^2*B*a^7*b^13*d^2 + 11472*A^2*B*a^9*b^11*d^2 - 2208*A^2*B*a^11*b^9*d^2)/(128*a^2*d^5) - ((((a + b*tan(c + d*x))^(1/2)*(320896*A^2*a^3*b^14*d^2 + 143360*A^2*a^5*b^12*d^2 - 1081344*A^2*a^7*b^10*d^2 + 147456*A^2*a^9*b^8*d^2 - 304896*B^2*a^3*b^14*d^2 - 20480*B^2*a^5*b^12*d^2 + 1245184*B^2*a^7*b^10*d^2 - 81920*B^2*a^9*b^8*d^2 + 100*A^2*a*b^16*d^2 - 132672*A*B*a^2*b^15*d^2 + 919040*A*B*a^4*b^13*d^2 + 1966080*A*B*a^6*b^11*d^2 - 1179648*A*B*a^8*b^9*d^2))/(32768*a^2*d^4) - (((20*A*a*b^14*d^4 + 852*A*a^3*b^12*d^4 + 448*A*a^5*b^10*d^4 - 384*A*a^7*b^8*d^4 - 160*B*a^2*b^13*d^4 + 864*B*a^4*b^11*d^4 + 1024*B*a^6*b^9*d^4)/(128*a^2*d^5) + ((131072*a^2*b^10*d^4 + 196608*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(4194304*a^5*d^5))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(128*a^3*d))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2))/(a^3*d)))*(16384*A^2*a^11 + 25*A^2*a^3*b^8 + 2400*A^2*a^5*b^6 + 56320*A^2*a^7*b^4 - 61440*A^2*a^9*b^2 + 1600*B^2*a^5*b^6 - 25600*B^2*a^7*b^4 + 102400*B^2*a^9*b^2 - 81920*A*B*a^10*b - 400*A*B*a^4*b^7 - 16000*A*B*a^6*b^5 + 163840*A*B*a^8*b^3)^(1/2)*1i)/(64*a^3*d)","B"
340,1,3441,151,27.934721,"\text{Not used}","int(-(a + b*tan(c + d*x))^(5/2)*(a - b*tan(c + d*x)),x)","\ln\left(\frac{8\,a^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\left(\frac{\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^7\,d^2-5\,a^3\,b^4\,d^2+10\,a^5\,b^2\,d^2}{d^4}}\,\left(64\,a^2\,b^5+64\,a^4\,b^3+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^7\,d^2-5\,a^3\,b^4\,d^2+10\,a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,a^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^7\,d^2-5\,a^3\,b^4\,d^2+10\,a^5\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{\sqrt{-25\,a^{12}\,b^2\,d^4+100\,a^{10}\,b^4\,d^4-110\,a^8\,b^6\,d^4+20\,a^6\,b^8\,d^4-a^4\,b^{10}\,d^4}}{4\,d^4}-\frac{a^7}{4\,d^2}-\frac{5\,a^3\,b^4}{4\,d^2}+\frac{5\,a^5\,b^2}{2\,d^2}}-\ln\left(\frac{8\,a^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^7\,d^2+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{d^4}}\,\left(64\,a^2\,b^5+64\,a^4\,b^3-32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^7\,d^2+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,a^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^7\,d^2+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{-\frac{a^7\,d^2+\sqrt{-25\,a^{12}\,b^2\,d^4+100\,a^{10}\,b^4\,d^4-110\,a^8\,b^6\,d^4+20\,a^6\,b^8\,d^4-a^4\,b^{10}\,d^4}+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{8\,a^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\left(\frac{\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^7\,d^2-5\,a^3\,b^4\,d^2+10\,a^5\,b^2\,d^2}{d^4}}\,\left(64\,a^2\,b^5+64\,a^4\,b^3-32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^7\,d^2-5\,a^3\,b^4\,d^2+10\,a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}-\frac{16\,a^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-a^7\,d^2-5\,a^3\,b^4\,d^2+10\,a^5\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{-\frac{a^7\,d^2-\sqrt{-25\,a^{12}\,b^2\,d^4+100\,a^{10}\,b^4\,d^4-110\,a^8\,b^6\,d^4+20\,a^6\,b^8\,d^4-a^4\,b^{10}\,d^4}+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{8\,a^3\,b^3\,\left(3\,a^2-b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^7\,d^2+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{d^4}}\,\left(64\,a^2\,b^5+64\,a^4\,b^3+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^7\,d^2+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,a^2\,b^2\,\sqrt{a+b\,\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{\sqrt{-a^4\,b^2\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+a^7\,d^2+5\,a^3\,b^4\,d^2-10\,a^5\,b^2\,d^2}{d^4}}}{2}\right)\,\sqrt{\frac{5\,a^5\,b^2}{2\,d^2}-\frac{a^7}{4\,d^2}-\frac{5\,a^3\,b^4}{4\,d^2}-\frac{\sqrt{-25\,a^{12}\,b^2\,d^4+100\,a^{10}\,b^4\,d^4-110\,a^8\,b^6\,d^4+20\,a^6\,b^8\,d^4-a^4\,b^{10}\,d^4}}{4\,d^4}}+\left(\frac{4\,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)}-\ln\left(\frac{\left(\frac{\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+5\,a\,b^6\,d^2-10\,a^3\,b^4\,d^2+a^5\,b^2\,d^2}{d^4}}\,\left(32\,a^4\,b^3-32\,b^7+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+5\,a\,b^6\,d^2-10\,a^3\,b^4\,d^2+a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^4+15\,a^4\,b^6-15\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+5\,a\,b^6\,d^2-10\,a^3\,b^4\,d^2+a^5\,b^2\,d^2}{d^4}}}{2}-\frac{8\,a\,b^5\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^6\,d^4+100\,a^6\,b^8\,d^4-110\,a^4\,b^{10}\,d^4+20\,a^2\,b^{12}\,d^4-b^{14}\,d^4}+5\,a\,b^6\,d^2-10\,a^3\,b^4\,d^2+a^5\,b^2\,d^2}{4\,d^4}}+\ln\left(-\frac{\left(\frac{\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+5\,a\,b^6\,d^2-10\,a^3\,b^4\,d^2+a^5\,b^2\,d^2}{d^4}}\,\left(32\,b^7-32\,a^4\,b^3+32\,a\,b^2\,d\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+5\,a\,b^6\,d^2-10\,a^3\,b^4\,d^2+a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^4+15\,a^4\,b^6-15\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}+5\,a\,b^6\,d^2-10\,a^3\,b^4\,d^2+a^5\,b^2\,d^2}{d^4}}}{2}-\frac{8\,a\,b^5\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{\sqrt{-25\,a^8\,b^6\,d^4+100\,a^6\,b^8\,d^4-110\,a^4\,b^{10}\,d^4+20\,a^2\,b^{12}\,d^4-b^{14}\,d^4}}{4\,d^4}+\frac{5\,a\,b^6}{4\,d^2}-\frac{5\,a^3\,b^4}{2\,d^2}+\frac{a^5\,b^2}{4\,d^2}}-\ln\left(\frac{\left(\frac{\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-5\,a\,b^6\,d^2+10\,a^3\,b^4\,d^2-a^5\,b^2\,d^2}{d^4}}\,\left(32\,a^4\,b^3-32\,b^7+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-5\,a\,b^6\,d^2+10\,a^3\,b^4\,d^2-a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^4+15\,a^4\,b^6-15\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-5\,a\,b^6\,d^2+10\,a^3\,b^4\,d^2-a^5\,b^2\,d^2}{d^4}}}{2}-\frac{8\,a\,b^5\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{-\frac{\sqrt{-25\,a^8\,b^6\,d^4+100\,a^6\,b^8\,d^4-110\,a^4\,b^{10}\,d^4+20\,a^2\,b^{12}\,d^4-b^{14}\,d^4}-5\,a\,b^6\,d^2+10\,a^3\,b^4\,d^2-a^5\,b^2\,d^2}{4\,d^4}}+\ln\left(-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-5\,a\,b^6\,d^2+10\,a^3\,b^4\,d^2-a^5\,b^2\,d^2}{d^4}}\,\left(32\,b^7-32\,a^4\,b^3+32\,a\,b^2\,d\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-5\,a\,b^6\,d^2+10\,a^3\,b^4\,d^2-a^5\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{2\,d}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-a^6\,b^4+15\,a^4\,b^6-15\,a^2\,b^8+b^{10}\right)}{d^2}\right)\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(5\,a^4-10\,a^2\,b^2+b^4\right)}^2}-5\,a\,b^6\,d^2+10\,a^3\,b^4\,d^2-a^5\,b^2\,d^2}{d^4}}}{2}-\frac{8\,a\,b^5\,\left(a^2-3\,b^2\right)\,{\left(a^2+b^2\right)}^3}{d^3}\right)\,\sqrt{\frac{5\,a\,b^6}{4\,d^2}-\frac{\sqrt{-25\,a^8\,b^6\,d^4+100\,a^6\,b^8\,d^4-110\,a^4\,b^{10}\,d^4+20\,a^2\,b^{12}\,d^4-b^{14}\,d^4}}{4\,d^4}-\frac{5\,a^3\,b^4}{2\,d^2}+\frac{a^5\,b^2}{4\,d^2}}+\frac{2\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,d}-\frac{4\,a^2\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}","Not used",1,"log((8*a^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^7*d^2 - 5*a^3*b^4*d^2 + 10*a^5*b^2*d^2)/d^4)^(1/2)*(64*a^2*b^5 + 64*a^4*b^3 + 32*a*b^2*d*(((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^7*d^2 - 5*a^3*b^4*d^2 + 10*a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^7*d^2 - 5*a^3*b^4*d^2 + 10*a^5*b^2*d^2)/d^4)^(1/2))/2)*((20*a^6*b^8*d^4 - a^4*b^10*d^4 - 110*a^8*b^6*d^4 + 100*a^10*b^4*d^4 - 25*a^12*b^2*d^4)^(1/2)/(4*d^4) - a^7/(4*d^2) - (5*a^3*b^4)/(4*d^2) + (5*a^5*b^2)/(2*d^2))^(1/2) - log((8*a^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((-((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^7*d^2 + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/d^4)^(1/2)*(64*a^2*b^5 + 64*a^4*b^3 - 32*a*b^2*d*(-((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^7*d^2 + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^7*d^2 + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/d^4)^(1/2))/2)*(-(a^7*d^2 + (20*a^6*b^8*d^4 - a^4*b^10*d^4 - 110*a^8*b^6*d^4 + 100*a^10*b^4*d^4 - 25*a^12*b^2*d^4)^(1/2) + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/(4*d^4))^(1/2) - log((8*a^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^7*d^2 - 5*a^3*b^4*d^2 + 10*a^5*b^2*d^2)/d^4)^(1/2)*(64*a^2*b^5 + 64*a^4*b^3 - 32*a*b^2*d*(((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^7*d^2 - 5*a^3*b^4*d^2 + 10*a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) - (16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - a^7*d^2 - 5*a^3*b^4*d^2 + 10*a^5*b^2*d^2)/d^4)^(1/2))/2)*(-(a^7*d^2 - (20*a^6*b^8*d^4 - a^4*b^10*d^4 - 110*a^8*b^6*d^4 + 100*a^10*b^4*d^4 - 25*a^12*b^2*d^4)^(1/2) + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/(4*d^4))^(1/2) + log((8*a^3*b^3*(3*a^2 - b^2)*(a^2 + b^2)^3)/d^3 - ((((-((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^7*d^2 + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/d^4)^(1/2)*(64*a^2*b^5 + 64*a^4*b^3 + 32*a*b^2*d*(-((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^7*d^2 + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2))/d^2)*(-((-a^4*b^2*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + a^7*d^2 + 5*a^3*b^4*d^2 - 10*a^5*b^2*d^2)/d^4)^(1/2))/2)*((5*a^5*b^2)/(2*d^2) - a^7/(4*d^2) - (5*a^3*b^4)/(4*d^2) - (20*a^6*b^8*d^4 - a^4*b^10*d^4 - 110*a^8*b^6*d^4 + 100*a^10*b^4*d^4 - 25*a^12*b^2*d^4)^(1/2)/(4*d^4))^(1/2) + ((4*a^2*b)/d - (2*b*(a^2 + b^2))/d)*(a + b*tan(c + d*x))^(1/2) - log(((((((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + 5*a*b^6*d^2 - 10*a^3*b^4*d^2 + a^5*b^2*d^2)/d^4)^(1/2)*(32*a^4*b^3 - 32*b^7 + 32*a*b^2*d*(((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + 5*a*b^6*d^2 - 10*a^3*b^4*d^2 + a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 15*a^2*b^8 + 15*a^4*b^6 - a^6*b^4))/d^2)*(((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + 5*a*b^6*d^2 - 10*a^3*b^4*d^2 + a^5*b^2*d^2)/d^4)^(1/2))/2 - (8*a*b^5*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(((20*a^2*b^12*d^4 - b^14*d^4 - 110*a^4*b^10*d^4 + 100*a^6*b^8*d^4 - 25*a^8*b^6*d^4)^(1/2) + 5*a*b^6*d^2 - 10*a^3*b^4*d^2 + a^5*b^2*d^2)/(4*d^4))^(1/2) + log(- ((((((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + 5*a*b^6*d^2 - 10*a^3*b^4*d^2 + a^5*b^2*d^2)/d^4)^(1/2)*(32*b^7 - 32*a^4*b^3 + 32*a*b^2*d*(((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + 5*a*b^6*d^2 - 10*a^3*b^4*d^2 + a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 15*a^2*b^8 + 15*a^4*b^6 - a^6*b^4))/d^2)*(((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) + 5*a*b^6*d^2 - 10*a^3*b^4*d^2 + a^5*b^2*d^2)/d^4)^(1/2))/2 - (8*a*b^5*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*((20*a^2*b^12*d^4 - b^14*d^4 - 110*a^4*b^10*d^4 + 100*a^6*b^8*d^4 - 25*a^8*b^6*d^4)^(1/2)/(4*d^4) + (5*a*b^6)/(4*d^2) - (5*a^3*b^4)/(2*d^2) + (a^5*b^2)/(4*d^2))^(1/2) - log(((((-((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - 5*a*b^6*d^2 + 10*a^3*b^4*d^2 - a^5*b^2*d^2)/d^4)^(1/2)*(32*a^4*b^3 - 32*b^7 + 32*a*b^2*d*(-((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - 5*a*b^6*d^2 + 10*a^3*b^4*d^2 - a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 15*a^2*b^8 + 15*a^4*b^6 - a^6*b^4))/d^2)*(-((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - 5*a*b^6*d^2 + 10*a^3*b^4*d^2 - a^5*b^2*d^2)/d^4)^(1/2))/2 - (8*a*b^5*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*(-((20*a^2*b^12*d^4 - b^14*d^4 - 110*a^4*b^10*d^4 + 100*a^6*b^8*d^4 - 25*a^8*b^6*d^4)^(1/2) - 5*a*b^6*d^2 + 10*a^3*b^4*d^2 - a^5*b^2*d^2)/(4*d^4))^(1/2) + log(- ((((-((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - 5*a*b^6*d^2 + 10*a^3*b^4*d^2 - a^5*b^2*d^2)/d^4)^(1/2)*(32*b^7 - 32*a^4*b^3 + 32*a*b^2*d*(-((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - 5*a*b^6*d^2 + 10*a^3*b^4*d^2 - a^5*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/(2*d) + (16*(a + b*tan(c + d*x))^(1/2)*(b^10 - 15*a^2*b^8 + 15*a^4*b^6 - a^6*b^4))/d^2)*(-((-b^6*d^4*(5*a^4 + b^4 - 10*a^2*b^2)^2)^(1/2) - 5*a*b^6*d^2 + 10*a^3*b^4*d^2 - a^5*b^2*d^2)/d^4)^(1/2))/2 - (8*a*b^5*(a^2 - 3*b^2)*(a^2 + b^2)^3)/d^3)*((5*a*b^6)/(4*d^2) - (20*a^2*b^12*d^4 - b^14*d^4 - 110*a^4*b^10*d^4 + 100*a^6*b^8*d^4 - 25*a^8*b^6*d^4)^(1/2)/(4*d^4) - (5*a^3*b^4)/(2*d^2) + (a^5*b^2)/(4*d^2))^(1/2) + (2*b*(a + b*tan(c + d*x))^(5/2))/(5*d) - (4*a^2*b*(a + b*tan(c + d*x))^(1/2))/d","B"
341,1,2529,408,17.763898,"\text{Not used}","int(-(a + b*tan(c + d*x))^(3/2)*(a - b*tan(c + d*x)),x)","\ln\left(\frac{\left(\frac{16\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}-3\,a\,b^4\,d^2+a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3-d\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}-3\,a\,b^4\,d^2+a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}-3\,a\,b^4\,d^2+a^3\,b^2\,d^2}{d^4}}}{2}-\frac{8\,b^5\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,b^6\,d^4+6\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}-\frac{3\,a\,b^4}{4\,d^2}+\frac{a^3\,b^2}{4\,d^2}}-\ln\left(-\frac{\left(\frac{16\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}+3\,a\,b^4\,d^2-a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3+d\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}+3\,a\,b^4\,d^2-a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}+3\,a\,b^4\,d^2-a^3\,b^2\,d^2}{d^4}}}{2}-\frac{8\,b^5\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{-\frac{\sqrt{-9\,a^4\,b^6\,d^4+6\,a^2\,b^8\,d^4-b^{10}\,d^4}+3\,a\,b^4\,d^2-a^3\,b^2\,d^2}{4\,d^4}}-\ln\left(-\frac{\left(\frac{16\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}-3\,a\,b^4\,d^2+a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3+d\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}-3\,a\,b^4\,d^2+a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)\,\sqrt{\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}-3\,a\,b^4\,d^2+a^3\,b^2\,d^2}{d^4}}}{2}-\frac{8\,b^5\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^4\,b^6\,d^4+6\,a^2\,b^8\,d^4-b^{10}\,d^4}-3\,a\,b^4\,d^2+a^3\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{\left(\frac{16\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}+3\,a\,b^4\,d^2-a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3-d\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}+3\,a\,b^4\,d^2-a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)\,\sqrt{-\frac{\sqrt{-b^6\,d^4\,{\left(3\,a^2-b^2\right)}^2}+3\,a\,b^4\,d^2-a^3\,b^2\,d^2}{d^4}}}{2}-\frac{8\,b^5\,\left(a^2-b^2\right)\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{a^3\,b^2}{4\,d^2}-\frac{3\,a\,b^4}{4\,d^2}-\frac{\sqrt{-9\,a^4\,b^6\,d^4+6\,a^2\,b^8\,d^4-b^{10}\,d^4}}{4\,d^4}}-\ln\left(\frac{\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+a^5\,d^2-3\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{16\,a^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+a^5\,d^2-3\,a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3-d\,\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+a^5\,d^2-3\,a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}+\frac{16\,a^4\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{-\frac{\sqrt{-9\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4-a^4\,b^6\,d^4}+a^5\,d^2-3\,a^3\,b^2\,d^2}{4\,d^4}}-\ln\left(\frac{\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-a^5\,d^2+3\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{16\,a^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}-\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-a^5\,d^2+3\,a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3-d\,\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-a^5\,d^2+3\,a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}+\frac{16\,a^4\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}\right)\,\sqrt{\frac{\sqrt{-9\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4-a^4\,b^6\,d^4}-a^5\,d^2+3\,a^3\,b^2\,d^2}{4\,d^4}}+\ln\left(\frac{16\,a^4\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-a^5\,d^2+3\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{16\,a^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-a^5\,d^2+3\,a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3+d\,\sqrt{\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}-a^5\,d^2+3\,a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}\right)\,\sqrt{\frac{\sqrt{-9\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4-a^4\,b^6\,d^4}}{4\,d^4}-\frac{a^5}{4\,d^2}+\frac{3\,a^3\,b^2}{4\,d^2}}+\ln\left(\frac{16\,a^4\,b^3\,{\left(a^2+b^2\right)}^2}{d^3}-\frac{\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+a^5\,d^2-3\,a^3\,b^2\,d^2}{d^4}}\,\left(\frac{16\,a^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(a^4-6\,a^2\,b^2+b^4\right)}{d^2}+\frac{16\,a\,b^2\,\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+a^5\,d^2-3\,a^3\,b^2\,d^2}{d^4}}\,\left(a^2\,b+b^3+d\,\sqrt{-\frac{\sqrt{-a^4\,b^2\,d^4\,{\left(3\,a^2-b^2\right)}^2}+a^5\,d^2-3\,a^3\,b^2\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}{d}\right)}{2}\right)\,\sqrt{\frac{3\,a^3\,b^2}{4\,d^2}-\frac{a^5}{4\,d^2}-\frac{\sqrt{-9\,a^8\,b^2\,d^4+6\,a^6\,b^4\,d^4-a^4\,b^6\,d^4}}{4\,d^4}}+\frac{2\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}","Not used",1,"log((((16*b^4*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) - 3*a*b^4*d^2 + a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 - d*(((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) - 3*a*b^4*d^2 + a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d)*(((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) - 3*a*b^4*d^2 + a^3*b^2*d^2)/d^4)^(1/2))/2 - (8*b^5*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((6*a^2*b^8*d^4 - b^10*d^4 - 9*a^4*b^6*d^4)^(1/2)/(4*d^4) - (3*a*b^4)/(4*d^2) + (a^3*b^2)/(4*d^2))^(1/2) - log(- (((16*b^4*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(-((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) + 3*a*b^4*d^2 - a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 + d*(-((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) + 3*a*b^4*d^2 - a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d)*(-((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) + 3*a*b^4*d^2 - a^3*b^2*d^2)/d^4)^(1/2))/2 - (8*b^5*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*(-((6*a^2*b^8*d^4 - b^10*d^4 - 9*a^4*b^6*d^4)^(1/2) + 3*a*b^4*d^2 - a^3*b^2*d^2)/(4*d^4))^(1/2) - log(- (((16*b^4*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) - 3*a*b^4*d^2 + a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 + d*(((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) - 3*a*b^4*d^2 + a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d)*(((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) - 3*a*b^4*d^2 + a^3*b^2*d^2)/d^4)^(1/2))/2 - (8*b^5*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*(((6*a^2*b^8*d^4 - b^10*d^4 - 9*a^4*b^6*d^4)^(1/2) - 3*a*b^4*d^2 + a^3*b^2*d^2)/(4*d^4))^(1/2) + log((((16*b^4*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(-((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) + 3*a*b^4*d^2 - a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 - d*(-((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) + 3*a*b^4*d^2 - a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d)*(-((-b^6*d^4*(3*a^2 - b^2)^2)^(1/2) + 3*a*b^4*d^2 - a^3*b^2*d^2)/d^4)^(1/2))/2 - (8*b^5*(a^2 - b^2)*(a^2 + b^2)^2)/d^3)*((a^3*b^2)/(4*d^2) - (3*a*b^4)/(4*d^2) - (6*a^2*b^8*d^4 - b^10*d^4 - 9*a^4*b^6*d^4)^(1/2)/(4*d^4))^(1/2) - log(((-((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + a^5*d^2 - 3*a^3*b^2*d^2)/d^4)^(1/2)*((16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(-((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + a^5*d^2 - 3*a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 - d*(-((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + a^5*d^2 - 3*a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 + (16*a^4*b^3*(a^2 + b^2)^2)/d^3)*(-((6*a^6*b^4*d^4 - a^4*b^6*d^4 - 9*a^8*b^2*d^4)^(1/2) + a^5*d^2 - 3*a^3*b^2*d^2)/(4*d^4))^(1/2) - log(((((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - a^5*d^2 + 3*a^3*b^2*d^2)/d^4)^(1/2)*((16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 - (16*a*b^2*(((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - a^5*d^2 + 3*a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 - d*(((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - a^5*d^2 + 3*a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2 + (16*a^4*b^3*(a^2 + b^2)^2)/d^3)*(((6*a^6*b^4*d^4 - a^4*b^6*d^4 - 9*a^8*b^2*d^4)^(1/2) - a^5*d^2 + 3*a^3*b^2*d^2)/(4*d^4))^(1/2) + log((16*a^4*b^3*(a^2 + b^2)^2)/d^3 - ((((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - a^5*d^2 + 3*a^3*b^2*d^2)/d^4)^(1/2)*((16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - a^5*d^2 + 3*a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 + d*(((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) - a^5*d^2 + 3*a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2)*((6*a^6*b^4*d^4 - a^4*b^6*d^4 - 9*a^8*b^2*d^4)^(1/2)/(4*d^4) - a^5/(4*d^2) + (3*a^3*b^2)/(4*d^2))^(1/2) + log((16*a^4*b^3*(a^2 + b^2)^2)/d^3 - ((-((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + a^5*d^2 - 3*a^3*b^2*d^2)/d^4)^(1/2)*((16*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(a^4 + b^4 - 6*a^2*b^2))/d^2 + (16*a*b^2*(-((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + a^5*d^2 - 3*a^3*b^2*d^2)/d^4)^(1/2)*(a^2*b + b^3 + d*(-((-a^4*b^2*d^4*(3*a^2 - b^2)^2)^(1/2) + a^5*d^2 - 3*a^3*b^2*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)))/d))/2)*((3*a^3*b^2)/(4*d^2) - a^5/(4*d^2) - (6*a^6*b^4*d^4 - a^4*b^6*d^4 - 9*a^8*b^2*d^4)^(1/2)/(4*d^4))^(1/2) + (2*b*(a + b*tan(c + d*x))^(3/2))/(3*d)","B"
342,1,581,422,9.020642,"\text{Not used}","int(-(a + b*tan(c + d*x))^(1/2)*(a - b*tan(c + d*x)),x)","\mathrm{atanh}\left(\frac{d^3\,\left(\frac{16\,\left(a^2\,b^4-a^4\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}+\frac{16\,a\,b^2\,\left(a^3+1{}\mathrm{i}\,b\,a^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{-\frac{a^3+1{}\mathrm{i}\,b\,a^2}{d^2}}}{16\,\left(a^5\,b^3+a^3\,b^5\right)}\right)\,\sqrt{-\frac{a^3+1{}\mathrm{i}\,b\,a^2}{d^2}}+\mathrm{atanh}\left(\frac{d^3\,\sqrt{\frac{-a^3+a^2\,b\,1{}\mathrm{i}}{d^2}}\,\left(\frac{16\,\left(a^2\,b^4-a^4\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}-\frac{16\,a\,b^2\,\left(-a^3+a^2\,b\,1{}\mathrm{i}\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)}{16\,\left(a^5\,b^3+a^3\,b^5\right)}\right)\,\sqrt{\frac{-a^3+a^2\,b\,1{}\mathrm{i}}{d^2}}+\frac{2\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{b^6\,\sqrt{\frac{a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,16{}\mathrm{i}}{d}}+\frac{32\,a\,b^5\,\sqrt{\frac{a\,b^2}{4\,d^2}-\frac{b^3\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,16{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{a\,b^2-b^3\,1{}\mathrm{i}}{4\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{b^6\,\sqrt{\frac{a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,16{}\mathrm{i}}{d}}-\frac{32\,a\,b^5\,\sqrt{\frac{a\,b^2}{4\,d^2}+\frac{b^3\,1{}\mathrm{i}}{4\,d^2}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{b^8\,16{}\mathrm{i}}{d}+\frac{a^2\,b^6\,16{}\mathrm{i}}{d}}\right)\,\sqrt{\frac{b^3\,1{}\mathrm{i}+a\,b^2}{4\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((b^6*((b^3*1i)/(4*d^2) + (a*b^2)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^8*16i)/d + (a^2*b^6*16i)/d) - (32*a*b^5*((b^3*1i)/(4*d^2) + (a*b^2)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^8*16i)/d + (a^2*b^6*16i)/d))*((a*b^2 + b^3*1i)/(4*d^2))^(1/2)*2i - atan((b^6*((a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((b^8*16i)/d + (a^2*b^6*16i)/d) + (32*a*b^5*((a*b^2)/(4*d^2) - (b^3*1i)/(4*d^2))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((b^8*16i)/d + (a^2*b^6*16i)/d))*((a*b^2 - b^3*1i)/(4*d^2))^(1/2)*2i + atanh((d^3*((16*(a^2*b^4 - a^4*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 + (16*a*b^2*(a^2*b*1i + a^3)*(a + b*tan(c + d*x))^(1/2))/d^2)*(-(a^2*b*1i + a^3)/d^2)^(1/2))/(16*(a^3*b^5 + a^5*b^3)))*(-(a^2*b*1i + a^3)/d^2)^(1/2) + atanh((d^3*((a^2*b*1i - a^3)/d^2)^(1/2)*((16*(a^2*b^4 - a^4*b^2)*(a + b*tan(c + d*x))^(1/2))/d^2 - (16*a*b^2*(a^2*b*1i - a^3)*(a + b*tan(c + d*x))^(1/2))/d^2))/(16*(a^3*b^5 + a^5*b^3)))*((a^2*b*1i - a^3)/d^2)^(1/2) + (2*b*(a + b*tan(c + d*x))^(1/2))/d","B"
343,1,3054,213,13.972780,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\frac{2\,A\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^2\,d}-\left(\frac{2\,B\,\left(a^2+b^2\right)}{b^3\,d}-\frac{4\,B\,a^2}{b^3\,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\,b^3\,d}-\frac{2\,A\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}-\frac{4\,B\,a\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^3\,d}-\mathrm{atan}\left(\frac{A^2\,b^2\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,A^3\,b^2}{d}-\frac{16\,A^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a\,b^2\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{a\,b^2\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}\,8{}\mathrm{i}}{16\,A^3\,b^4\,d+16\,A^3\,a^2\,b^2\,d-\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{A^2\,a^2\,b^2\,d^2\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{16\,A^3\,b^4\,d+16\,A^3\,a^2\,b^2\,d-\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{A^2\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{16\,A^3\,b^2}{d}+\frac{4\,A\,a\,b^2\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{a\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}\,8{}\mathrm{i}}{\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,A^3\,a^2\,b^2\,d-16\,A^3\,b^4\,d+\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{A^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,A^3\,a^2\,b^2\,d-16\,A^3\,b^4\,d+\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{B^2\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,b^3\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{a\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}\,8{}\mathrm{i}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{B^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{B^2\,b^2\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,b^3\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{a\,b^2\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}\,8{}\mathrm{i}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{B^2\,a^2\,b^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}","Not used",1,"atan((B^2*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) - (4*B*b^3*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (a*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2)*8i)/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (B^2*a^2*b^2*d^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - atan((A^2*b^2*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*A^3*b^2)/d - (16*A^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) + (4*A*a*b^2*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (a*b^2*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2)*8i)/(16*A^3*b^4*d + 16*A^3*a^2*b^2*d - (16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (A^2*a^2*b^2*d^2*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/(16*A^3*b^4*d + 16*A^3*a^2*b^2*d - (16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - atan((a*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2)*8i)/((16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*A^3*a^2*b^2*d - 16*A^3*b^4*d + (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (A^2*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*A^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) - (16*A^3*b^2)/d + (4*A*a*b^2*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (A^2*a^2*b^2*d^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*A^3*a^2*b^2*d - 16*A^3*b^4*d + (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - ((2*B*(a^2 + b^2))/(b^3*d) - (4*B*a^2)/(b^3*d))*(a + b*tan(c + d*x))^(1/2) - atan((a*b^2*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2)*8i)/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (B^2*b^2*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) + (4*B*b^3*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (B^2*a^2*b^2*d^2*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*2i + (2*A*(a + b*tan(c + d*x))^(3/2))/(3*b^2*d) + (2*B*(a + b*tan(c + d*x))^(5/2))/(5*b^3*d) - (2*A*a*(a + b*tan(c + d*x))^(1/2))/(b^2*d) - (4*B*a*(a + b*tan(c + d*x))^(3/2))/(3*b^3*d)","B"
344,1,2981,166,10.545545,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,b^3\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,A^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,A^2\,b^2\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,b^3\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,A^2\,a^2\,b^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{2\,A\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b\,d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^2\,d}-\frac{2\,B\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}-\mathrm{atan}\left(\frac{B^2\,b^2\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^2}{d}-\frac{16\,B^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a\,b^2\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{a\,b^2\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}\,8{}\mathrm{i}}{16\,B^3\,b^4\,d+16\,B^3\,a^2\,b^2\,d-\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{B^2\,a^2\,b^2\,d^2\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{16\,B^3\,b^4\,d+16\,B^3\,a^2\,b^2\,d-\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(-\frac{B^2\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,b^2}{d}+\frac{4\,B\,a\,b^2\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{a\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}\,8{}\mathrm{i}}{\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,B^3\,a^2\,b^2\,d-16\,B^3\,b^4\,d+\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{B^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,B^3\,a^2\,b^2\,d-16\,B^3\,b^4\,d+\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}","Not used",1,"2*atanh((32*A^2*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) - (4*A*b^3*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*A^2*a^2*b^2*d^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - atan((a*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2)*8i)/((16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*B^3*a^2*b^2*d - 16*B^3*b^4*d + (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (B^2*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) - (16*B^3*b^2)/d + (4*B*a*b^2*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (B^2*a^2*b^2*d^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*B^3*a^2*b^2*d - 16*B^3*b^4*d + (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - atan((B^2*b^2*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/((16*B^3*b^2)/d - (16*B^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) + (4*B*a*b^2*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (a*b^2*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2)*8i)/(16*B^3*b^4*d + 16*B^3*a^2*b^2*d - (16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (B^2*a^2*b^2*d^2*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*32i)/(16*B^3*b^4*d + 16*B^3*a^2*b^2*d - (16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - 2*atanh((8*a*b^2*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*A^2*b^2*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) + (4*A*b^3*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*A^2*a^2*b^2*d^2*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) + (2*A*(a + b*tan(c + d*x))^(1/2))/(b*d) + (2*B*(a + b*tan(c + d*x))^(3/2))/(3*b^2*d) - (2*B*a*(a + b*tan(c + d*x))^(1/2))/(b^2*d)","B"
345,1,2930,124,9.350889,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{32\,B^2\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,b^3\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}}{\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,A^3\,a^2\,b^2\,d-16\,A^3\,b^4\,d+\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,A^2\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{16\,A^3\,b^2}{d}+\frac{4\,A\,a\,b^2\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,A^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,A^3\,a^2\,b^2\,d-16\,A^3\,b^4\,d+\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,b^2\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,b^2}{d}-\frac{16\,A^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a\,b^2\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}}{16\,A^3\,b^4\,d+16\,A^3\,a^2\,b^2\,d-\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,A^2\,a^2\,b^2\,d^2\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{16\,A^3\,b^4\,d+16\,A^3\,a^2\,b^2\,d-\frac{16\,A^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,A^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^3\,b^2\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,A\,a\,b^4\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,b^2\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,b^3\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,B^2\,a^2\,b^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,b^5\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,B^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^2\,b^3\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{2\,B\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b\,d}","Not used",1,"2*atanh((32*B^2*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) - (4*B*b^3*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2))/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*a^2*b^2*d^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((8*a*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2))/((16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*A^3*a^2*b^2*d - 16*A^3*b^4*d + (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*A^2*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) - (16*A^3*b^2)/d + (4*A*a*b^2*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*A^2*a^2*b^2*d^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*A^3*a^2*b^2*d - 16*A^3*b^4*d + (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((32*A^2*b^2*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*b^2)/d - (16*A^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) + (4*A*a*b^2*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2))/(16*A^3*b^4*d + 16*A^3*a^2*b^2*d - (16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*A^2*a^2*b^2*d^2*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(16*A^3*b^4*d + 16*A^3*a^2*b^2*d - (16*A^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*A^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^3*b^2*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*A*a*b^4*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((8*a*b^2*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2))/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*b^2*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) + (4*B*b^3*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*B^2*a^2*b^2*d^2*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*b^5*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*B^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^2*b^3*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*(- (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) + (2*B*(a + b*tan(c + d*x))^(1/2))/(b*d)","B"
346,1,2909,102,8.773137,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,A^2\,b^2\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,b^3\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,A^2\,a^2\,b^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}}{\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,B^3\,a^2\,b^2\,d-16\,B^3\,b^4\,d+\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,b^2}{d}+\frac{4\,B\,a\,b^2\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,B^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-16\,B^3\,a^2\,b^2\,d-16\,B^3\,b^4\,d+\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,b^3\,d^2\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,A^4\,b^2\,d^4}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,A^2\,a^2\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,A^3\,a\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,b^5\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{16\,A^3\,a^3\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,A\,a^2\,b^3\,d^4\,\sqrt{-16\,A^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{A^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,b^2\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,b^2}{d}-\frac{16\,B^3\,a^2\,b^2\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a\,b^2\,d^2\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^2\,d^4}}{16\,B^3\,b^4\,d+16\,B^3\,a^2\,b^2\,d-\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,a^2\,b^2\,d^2\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{16\,B^3\,b^4\,d+16\,B^3\,a^2\,b^2\,d-\frac{16\,B^3\,a^2\,b^4\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,a^4\,b^2\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^2\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^4\,d^4\,\sqrt{-16\,B^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{B^2\,a\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}","Not used",1,"2*atanh((8*a*b^2*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*A^2*b^2*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) + (4*A*b^3*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*A^2*a^2*b^2*d^2*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*(- (-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((8*a*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2))/((16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*B^3*a^2*b^2*d - 16*B^3*b^4*d + (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*b^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) - (16*B^3*b^2)/d + (4*B*a*b^2*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*B^2*a^2*b^2*d^2*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - 16*B^3*a^2*b^2*d - 16*B^3*b^4*d + (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((32*A^2*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^3*d^3)/(a^2*d^4 + b^2*d^4) - (4*A*b^3*d^2*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*A^4*b^2*d^4)^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*A^2*a^2*b^2*d^2*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*A^3*a*b^5*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*b^5*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (16*A^3*a^3*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*A*a^2*b^3*d^4*(-16*A^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*A^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (A^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((32*B^2*b^2*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*b^2)/d - (16*B^3*a^2*b^2*d^3)/(a^2*d^4 + b^2*d^4) + (4*B*a*b^2*d^2*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^2*d^4)^(1/2))/(16*B^3*b^4*d + 16*B^3*a^2*b^2*d - (16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*a^2*b^2*d^2*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(16*B^3*b^4*d + 16*B^3*a^2*b^2*d - (16*B^3*a^2*b^4*d^5)/(a^2*d^4 + b^2*d^4) - (16*B^3*a^4*b^2*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^2*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^4*d^4*(-16*B^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((B^2*a*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)","B"
347,1,7099,131,10.742247,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","-\frac{2\,A\,\mathrm{atanh}\left(\frac{576\,A^5\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,\left(576\,A^5\,b^8+64\,A\,B^4\,b^8+640\,A^3\,B^2\,b^8+\frac{1024\,A^5\,b^{10}}{a^2}-\frac{1024\,A^4\,B\,b^9}{a}\right)}+\frac{1024\,A^5\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^{5/2}\,\left(576\,A^5\,b^8+64\,A\,B^4\,b^8+640\,A^3\,B^2\,b^8+\frac{1024\,A^5\,b^{10}}{a^2}-\frac{1024\,A^4\,B\,b^9}{a}\right)}+\frac{64\,A\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,\left(576\,A^5\,b^8+64\,A\,B^4\,b^8+640\,A^3\,B^2\,b^8+\frac{1024\,A^5\,b^{10}}{a^2}-\frac{1024\,A^4\,B\,b^9}{a}\right)}-\frac{1024\,A^4\,B\,b^9\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^{3/2}\,\left(576\,A^5\,b^8+64\,A\,B^4\,b^8+640\,A^3\,B^2\,b^8+\frac{1024\,A^5\,b^{10}}{a^2}-\frac{1024\,A^4\,B\,b^9}{a}\right)}+\frac{640\,A^3\,B^2\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,\left(576\,A^5\,b^8+64\,A\,B^4\,b^8+640\,A^3\,B^2\,b^8+\frac{1024\,A^5\,b^{10}}{a^2}-\frac{1024\,A^4\,B\,b^9}{a}\right)}\right)}{\sqrt{a}\,d}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{64\,\left(A^3\,B^2\,b^8+A\,B^4\,b^8\right)}{d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\left(\left(\frac{32\,\left(3\,a\,A^3\,b^8\,d^2+12\,A^2\,B\,b^9\,d^2-9\,a\,A\,B^2\,b^8\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(12\,A\,a^2\,b^8\,d^4-4\,B\,a\,b^9\,d^4+16\,A\,b^{10}\,d^4\right)}{d^5}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(18\,a\,A^2\,b^8\,d^2+16\,A\,B\,b^9\,d^2-10\,a\,B^2\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{32\,\left(3\,A^4\,b^8+B^4\,b^8\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{64\,\left(A^3\,B^2\,b^8+A\,B^4\,b^8\right)}{d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i - (((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i)/((((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (64*(A*B^4*b^8 + A^3*B^2*b^8))/d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - atan(((((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i - (((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i)/((((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (((32*(12*A^2*B*b^9*d^2 + 3*A^3*a*b^8*d^2 - 9*A*B^2*a*b^8*d^2))/d^5 - (((32*(16*A*b^10*d^4 - 4*B*a*b^9*d^4 + 12*A*a^2*b^8*d^4))/d^5 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(a + b*tan(c + d*x))^(1/2)*(16*A*B*b^9*d^2 + 18*A^2*a*b^8*d^2 - 10*B^2*a*b^8*d^2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (32*(3*A^4*b^8 + B^4*b^8)*(a + b*tan(c + d*x))^(1/2))/d^4)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (64*(A*B^4*b^8 + A^3*B^2*b^8))/d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - (2*A*atanh((576*A^5*b^8*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*(576*A^5*b^8 + 64*A*B^4*b^8 + 640*A^3*B^2*b^8 + (1024*A^5*b^10)/a^2 - (1024*A^4*B*b^9)/a)) + (1024*A^5*b^10*(a + b*tan(c + d*x))^(1/2))/(a^(5/2)*(576*A^5*b^8 + 64*A*B^4*b^8 + 640*A^3*B^2*b^8 + (1024*A^5*b^10)/a^2 - (1024*A^4*B*b^9)/a)) + (64*A*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*(576*A^5*b^8 + 64*A*B^4*b^8 + 640*A^3*B^2*b^8 + (1024*A^5*b^10)/a^2 - (1024*A^4*B*b^9)/a)) - (1024*A^4*B*b^9*(a + b*tan(c + d*x))^(1/2))/(a^(3/2)*(576*A^5*b^8 + 64*A*B^4*b^8 + 640*A^3*B^2*b^8 + (1024*A^5*b^10)/a^2 - (1024*A^4*B*b^9)/a)) + (640*A^3*B^2*b^8*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*(576*A^5*b^8 + 64*A*B^4*b^8 + 640*A^3*B^2*b^8 + (1024*A^5*b^10)/a^2 - (1024*A^4*B*b^9)/a))))/(a^(1/2)*d)","B"
348,1,9790,169,8.678135,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\frac{A\,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)}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{16\,\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)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{16\,\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)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{16\,\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)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{16\,\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)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\left(2\,A^5\,a\,b^9-4\,A^4\,B\,a^2\,b^8+A^4\,B\,b^{10}-4\,A^2\,B^3\,a^2\,b^8+A^2\,B^3\,b^{10}-2\,A\,B^4\,a\,b^9\right)}{a^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{16\,\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)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{16\,\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)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{16\,\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)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\left(\left(\left(\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{16\,\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)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{16\,\left(2\,A^5\,a\,b^9-4\,A^4\,B\,a^2\,b^8+A^4\,B\,b^{10}-4\,A^2\,B^3\,a^2\,b^8+A^2\,B^3\,b^{10}-2\,A\,B^4\,a\,b^9\right)}{a^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(\frac{\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}-\frac{\left(\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}-\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}-\frac{\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{8\,\left(A\,b-2\,B\,a\right)\,\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^5\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)}{2\,d\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)\,1{}\mathrm{i}}{2\,d\,\sqrt{a^3}}+\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}+\frac{\left(\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}+\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}+\frac{\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{8\,\left(A\,b-2\,B\,a\right)\,\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^5\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)}{2\,d\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)\,1{}\mathrm{i}}{2\,d\,\sqrt{a^3}}}{\frac{16\,\left(2\,A^5\,a\,b^9-4\,A^4\,B\,a^2\,b^8+A^4\,B\,b^{10}-4\,A^2\,B^3\,a^2\,b^8+A^2\,B^3\,b^{10}-2\,A\,B^4\,a\,b^9\right)}{a^2\,d^5}-\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}-\frac{\left(\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}-\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}-\frac{\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}-\frac{8\,\left(A\,b-2\,B\,a\right)\,\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^5\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)}{2\,d\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)}{2\,d\,\sqrt{a^3}}+\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^2\,b^8-A^4\,b^{10}+4\,A^3\,B\,a\,b^9+A^2\,B^2\,b^{10}-4\,A\,B^3\,a\,b^9+6\,B^4\,a^2\,b^8\right)}{a^2\,d^4}+\frac{\left(\frac{8\,\left(16\,A^3\,a^2\,b^9\,d^2+4\,A^3\,b^{11}\,d^2-36\,A^2\,B\,a^3\,b^8\,d^2+12\,A^2\,B\,a\,b^{10}\,d^2-48\,A\,B^2\,a^2\,b^9\,d^2+12\,B^3\,a^3\,b^8\,d^2\right)}{a^2\,d^5}+\frac{\left(A\,b-2\,B\,a\right)\,\left(\frac{16\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(20\,A^2\,a^3\,b^8\,d^2-4\,A^2\,a\,b^{10}\,d^2+48\,A\,B\,a^2\,b^9\,d^2-36\,B^2\,a^3\,b^8\,d^2\right)}{a^2\,d^4}+\frac{\left(\frac{8\,\left(-48\,B\,a^4\,b^8\,d^4+16\,A\,a^3\,b^9\,d^4-64\,B\,a^2\,b^{10}\,d^4+32\,A\,a\,b^{11}\,d^4\right)}{a^2\,d^5}+\frac{8\,\left(A\,b-2\,B\,a\right)\,\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^5\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)}{2\,d\,\sqrt{a^3}}\right)\,\left(A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^3}}\right)}{2\,d\,\sqrt{a^3}}}\right)\,\left(A\,b-2\,B\,a\right)\,1{}\mathrm{i}}{d\,\sqrt{a^3}}","Not used",1,"atan(((((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) - (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i - (((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) + (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i)/((((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) - (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) + (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(A^4*B*b^10 + 2*A^5*a*b^9 + A^2*B^3*b^10 - 4*A^2*B^3*a^2*b^8 - 2*A*B^4*a*b^9 - 4*A^4*B*a^2*b^8))/(a^2*d^5)))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i + atan(((((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) - (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i - (((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) + (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i)/((((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) - (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (((((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) + (16*(32*a^2*b^10*d^4 + 48*a^4*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (16*(A^4*B*b^10 + 2*A^5*a*b^9 + A^2*B^3*b^10 - 4*A^2*B^3*a^2*b^8 - 2*A*B^4*a*b^9 - 4*A^4*B*a^2*b^8))/(a^2*d^5)))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - (atan((((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4) - (((8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5) - ((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4) - (((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) - (8*(A*b - 2*B*a)*(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^5*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2))))/(2*d*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2)))*1i)/(2*d*(a^3)^(1/2)) + ((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4) + (((8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5) + ((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4) + (((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) + (8*(A*b - 2*B*a)*(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^5*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2))))/(2*d*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2)))*1i)/(2*d*(a^3)^(1/2)))/((16*(A^4*B*b^10 + 2*A^5*a*b^9 + A^2*B^3*b^10 - 4*A^2*B^3*a^2*b^8 - 2*A*B^4*a*b^9 - 4*A^4*B*a^2*b^8))/(a^2*d^5) - ((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4) - (((8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5) - ((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4) - (((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) - (8*(A*b - 2*B*a)*(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^5*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2))))/(2*d*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2))))/(2*d*(a^3)^(1/2)) + ((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(A^2*B^2*b^10 - A^4*b^10 + 2*A^4*a^2*b^8 + 6*B^4*a^2*b^8 - 4*A*B^3*a*b^9 + 4*A^3*B*a*b^9))/(a^2*d^4) + (((8*(4*A^3*b^11*d^2 + 16*A^3*a^2*b^9*d^2 + 12*B^3*a^3*b^8*d^2 + 12*A^2*B*a*b^10*d^2 - 48*A*B^2*a^2*b^9*d^2 - 36*A^2*B*a^3*b^8*d^2))/(a^2*d^5) + ((A*b - 2*B*a)*((16*(a + b*tan(c + d*x))^(1/2)*(20*A^2*a^3*b^8*d^2 - 36*B^2*a^3*b^8*d^2 - 4*A^2*a*b^10*d^2 + 48*A*B*a^2*b^9*d^2))/(a^2*d^4) + (((8*(32*A*a*b^11*d^4 + 16*A*a^3*b^9*d^4 - 64*B*a^2*b^10*d^4 - 48*B*a^4*b^8*d^4))/(a^2*d^5) + (8*(A*b - 2*B*a)*(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^5*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2))))/(2*d*(a^3)^(1/2)))*(A*b - 2*B*a))/(2*d*(a^3)^(1/2))))/(2*d*(a^3)^(1/2))))*(A*b - 2*B*a)*1i)/(d*(a^3)^(1/2)) + (A*b*(a + b*tan(c + d*x))^(1/2))/(a*(a*d - d*(a + b*tan(c + d*x))))","B"
349,1,13182,224,9.400694,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","-\frac{\frac{\left(5\,A\,b^2-4\,B\,a\,b\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{4\,a}-\frac{\left(3\,A\,b^2-4\,B\,a\,b\right)\,{\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)}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{24\,A^5\,a^2\,b^{10}-9\,A^5\,b^{12}-32\,A^4\,B\,a^3\,b^9+24\,A^4\,B\,a\,b^{11}+64\,A^3\,B^2\,a^4\,b^8-16\,A^3\,B^2\,a^2\,b^{10}-9\,A^3\,B^2\,b^{12}+24\,A^2\,B^3\,a\,b^{11}+64\,A\,B^4\,a^4\,b^8-40\,A\,B^4\,a^2\,b^{10}+32\,B^5\,a^3\,b^9}{a^4\,d^5}}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}-4\,A^2\,a\,d^2+4\,B^2\,a\,d^2-8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\left(\left(\left(\left(\frac{768\,A\,a^6\,b^8\,d^4+256\,B\,a^5\,b^9\,d^4+640\,A\,a^4\,b^{10}\,d^4+512\,B\,a^3\,b^{11}\,d^4-384\,A\,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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{-192\,A^3\,a^5\,b^8\,d^2+36\,A^3\,a\,b^{12}\,d^2-768\,A^2\,B\,a^4\,b^9\,d^2+96\,A^2\,B\,a^2\,b^{11}\,d^2+36\,A^2\,B\,b^{13}\,d^2+576\,A\,B^2\,a^5\,b^8\,d^2-384\,A\,B^2\,a^3\,b^{10}\,d^2-96\,A\,B^2\,a\,b^{12}\,d^2+256\,B^3\,a^4\,b^9\,d^2+64\,B^3\,a^2\,b^{11}\,d^2}{2\,a^4\,d^5}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{a^4\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}+\frac{24\,A^5\,a^2\,b^{10}-9\,A^5\,b^{12}-32\,A^4\,B\,a^3\,b^9+24\,A^4\,B\,a\,b^{11}+64\,A^3\,B^2\,a^4\,b^8-16\,A^3\,B^2\,a^2\,b^{10}-9\,A^3\,B^2\,b^{12}+24\,A^2\,B^3\,a\,b^{11}+64\,A\,B^4\,a^4\,b^8-40\,A\,B^4\,a^2\,b^{10}+32\,B^5\,a^3\,b^9}{a^4\,d^5}}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,a\,A^2\,d^2+16\,b\,A\,B\,d^2-8\,a\,B^2\,d^2\right)}^2}{4}-\left(16\,a^2\,d^4+16\,b^2\,d^4\right)\,\left(A^4+2\,A^2\,B^2+B^4\right)}+4\,A^2\,a\,d^2-4\,B^2\,a\,d^2+8\,A\,B\,b\,d^2}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,2{}\mathrm{i}-\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\left(\frac{-96\,A^3\,a^5\,b^8\,d^2+18\,A^3\,a\,b^{12}\,d^2-384\,A^2\,B\,a^4\,b^9\,d^2+48\,A^2\,B\,a^2\,b^{11}\,d^2+18\,A^2\,B\,b^{13}\,d^2+288\,A\,B^2\,a^5\,b^8\,d^2-192\,A\,B^2\,a^3\,b^{10}\,d^2-48\,A\,B^2\,a\,b^{12}\,d^2+128\,B^3\,a^4\,b^9\,d^2+32\,B^3\,a^2\,b^{11}\,d^2}{8\,a^4\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^6\,b^8\,d^4+128\,B\,a^5\,b^9\,d^4+320\,A\,a^4\,b^{10}\,d^4+256\,B\,a^3\,b^{11}\,d^4-192\,A\,a^2\,b^{12}\,d^4}{8\,a^4\,d^5}-\frac{\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)}\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{64\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}\,1{}\mathrm{i}}{a^5\,d}-\frac{\left(\frac{\left(\frac{-96\,A^3\,a^5\,b^8\,d^2+18\,A^3\,a\,b^{12}\,d^2-384\,A^2\,B\,a^4\,b^9\,d^2+48\,A^2\,B\,a^2\,b^{11}\,d^2+18\,A^2\,B\,b^{13}\,d^2+288\,A\,B^2\,a^5\,b^8\,d^2-192\,A\,B^2\,a^3\,b^{10}\,d^2-48\,A\,B^2\,a\,b^{12}\,d^2+128\,B^3\,a^4\,b^9\,d^2+32\,B^3\,a^2\,b^{11}\,d^2}{8\,a^4\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^6\,b^8\,d^4+128\,B\,a^5\,b^9\,d^4+320\,A\,a^4\,b^{10}\,d^4+256\,B\,a^3\,b^{11}\,d^4-192\,A\,a^2\,b^{12}\,d^4}{8\,a^4\,d^5}+\frac{\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)}\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{64\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}\,1{}\mathrm{i}}{a^5\,d}}{\frac{24\,A^5\,a^2\,b^{10}-9\,A^5\,b^{12}-32\,A^4\,B\,a^3\,b^9+24\,A^4\,B\,a\,b^{11}+64\,A^3\,B^2\,a^4\,b^8-16\,A^3\,B^2\,a^2\,b^{10}-9\,A^3\,B^2\,b^{12}+24\,A^2\,B^3\,a\,b^{11}+64\,A\,B^4\,a^4\,b^8-40\,A\,B^4\,a^2\,b^{10}+32\,B^5\,a^3\,b^9}{a^4\,d^5}+\frac{\left(\frac{\left(\frac{-96\,A^3\,a^5\,b^8\,d^2+18\,A^3\,a\,b^{12}\,d^2-384\,A^2\,B\,a^4\,b^9\,d^2+48\,A^2\,B\,a^2\,b^{11}\,d^2+18\,A^2\,B\,b^{13}\,d^2+288\,A\,B^2\,a^5\,b^8\,d^2-192\,A\,B^2\,a^3\,b^{10}\,d^2-48\,A\,B^2\,a\,b^{12}\,d^2+128\,B^3\,a^4\,b^9\,d^2+32\,B^3\,a^2\,b^{11}\,d^2}{8\,a^4\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^6\,b^8\,d^4+128\,B\,a^5\,b^9\,d^4+320\,A\,a^4\,b^{10}\,d^4+256\,B\,a^3\,b^{11}\,d^4-192\,A\,a^2\,b^{12}\,d^4}{8\,a^4\,d^5}-\frac{\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)}\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{64\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{a^5\,d}+\frac{\left(\frac{\left(\frac{-96\,A^3\,a^5\,b^8\,d^2+18\,A^3\,a\,b^{12}\,d^2-384\,A^2\,B\,a^4\,b^9\,d^2+48\,A^2\,B\,a^2\,b^{11}\,d^2+18\,A^2\,B\,b^{13}\,d^2+288\,A\,B^2\,a^5\,b^8\,d^2-192\,A\,B^2\,a^3\,b^{10}\,d^2-48\,A\,B^2\,a\,b^{12}\,d^2+128\,B^3\,a^4\,b^9\,d^2+32\,B^3\,a^2\,b^{11}\,d^2}{8\,a^4\,d^5}+\frac{\left(\frac{\left(\frac{384\,A\,a^6\,b^8\,d^4+128\,B\,a^5\,b^9\,d^4+320\,A\,a^4\,b^{10}\,d^4+256\,B\,a^3\,b^{11}\,d^4-192\,A\,a^2\,b^{12}\,d^4}{8\,a^4\,d^5}+\frac{\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)}\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{64\,a^9\,d^5}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^5\,b^8\,d^2-192\,A^2\,a^3\,b^{10}\,d^2+36\,A^2\,a\,b^{12}\,d^2+768\,A\,B\,a^4\,b^9\,d^2-96\,A\,B\,a^2\,b^{11}\,d^2-320\,B^2\,a^5\,b^8\,d^2+64\,B^2\,a^3\,b^{10}\,d^2\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{8\,a^5\,d}+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^4\,b^8-48\,A^4\,a^2\,b^{10}+9\,A^4\,b^{12}+64\,A^3\,B\,a^3\,b^9-24\,A^3\,B\,a\,b^{11}+64\,A^2\,B^2\,a^2\,b^{10}-9\,A^2\,B^2\,b^{12}-64\,A\,B^3\,a^3\,b^9+24\,A\,B^3\,a\,b^{11}+32\,B^4\,a^4\,b^8-16\,B^4\,a^2\,b^{10}\right)}{8\,a^4\,d^4}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}}{a^5\,d}}\right)\,\sqrt{64\,A^2\,a^9-48\,A^2\,a^7\,b^2+9\,A^2\,a^5\,b^4+64\,A\,B\,a^8\,b-24\,A\,B\,a^6\,b^3+16\,B^2\,a^7\,b^2}\,1{}\mathrm{i}}{4\,a^5\,d}","Not used",1,"- (((5*A*b^2 - 4*B*a*b)*(a + b*tan(c + d*x))^(1/2))/(4*a) - ((3*A*b^2 - 4*B*a*b)*(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(((((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i - (((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i)/((((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (24*A^5*a^2*b^10 - 9*A^3*B^2*b^12 - 9*A^5*b^12 + 32*B^5*a^3*b^9 - 16*A^3*B^2*a^2*b^10 + 64*A^3*B^2*a^4*b^8 + 24*A^4*B*a*b^11 - 40*A*B^4*a^2*b^10 + 64*A*B^4*a^4*b^8 + 24*A^2*B^3*a*b^11 - 32*A^4*B*a^3*b^9)/(a^4*d^5)))*(-(((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) - 4*A^2*a*d^2 + 4*B^2*a*d^2 - 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - atan(((((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i - (((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*1i)/((((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (((((640*A*a^4*b^10*d^4 - 384*A*a^2*b^12*d^4 + 768*A*a^6*b^8*d^4 + 512*B*a^3*b^11*d^4 + 256*B*a^5*b^9*d^4)/(2*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (64*B^3*a^2*b^11*d^2 - 192*A^3*a^5*b^8*d^2 + 256*B^3*a^4*b^9*d^2 + 36*A^2*B*b^13*d^2 + 36*A^3*a*b^12*d^2 - 96*A*B^2*a*b^12*d^2 - 384*A*B^2*a^3*b^10*d^2 + 576*A*B^2*a^5*b^8*d^2 + 96*A^2*B*a^2*b^11*d^2 - 768*A^2*B*a^4*b^9*d^2)/(2*a^4*d^5))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(a^4*d^4))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) + (24*A^5*a^2*b^10 - 9*A^3*B^2*b^12 - 9*A^5*b^12 + 32*B^5*a^3*b^9 - 16*A^3*B^2*a^2*b^10 + 64*A^3*B^2*a^4*b^8 + 24*A^4*B*a*b^11 - 40*A*B^4*a^2*b^10 + 64*A*B^4*a^4*b^8 + 24*A^2*B^3*a*b^11 - 32*A^4*B*a^3*b^9)/(a^4*d^5)))*((((8*A^2*a*d^2 - 8*B^2*a*d^2 + 16*A*B*b*d^2)^2/4 - (16*a^2*d^4 + 16*b^2*d^4)*(A^4 + 2*A^2*B^2 + B^4))^(1/2) + 4*A^2*a*d^2 - 4*B^2*a*d^2 + 8*A*B*b*d^2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*2i - (atan(-((((((32*B^3*a^2*b^11*d^2 - 96*A^3*a^5*b^8*d^2 + 128*B^3*a^4*b^9*d^2 + 18*A^2*B*b^13*d^2 + 18*A^3*a*b^12*d^2 - 48*A*B^2*a*b^12*d^2 - 192*A*B^2*a^3*b^10*d^2 + 288*A*B^2*a^5*b^8*d^2 + 48*A^2*B*a^2*b^11*d^2 - 384*A^2*B*a^4*b^9*d^2)/(8*a^4*d^5) + (((((320*A*a^4*b^10*d^4 - 192*A*a^2*b^12*d^4 + 384*A*a^6*b^8*d^4 + 256*B*a^3*b^11*d^4 + 128*B*a^5*b^9*d^4)/(8*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(64*a^9*d^5))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) + ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) - ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2)*1i)/(a^5*d) - (((((32*B^3*a^2*b^11*d^2 - 96*A^3*a^5*b^8*d^2 + 128*B^3*a^4*b^9*d^2 + 18*A^2*B*b^13*d^2 + 18*A^3*a*b^12*d^2 - 48*A*B^2*a*b^12*d^2 - 192*A*B^2*a^3*b^10*d^2 + 288*A*B^2*a^5*b^8*d^2 + 48*A^2*B*a^2*b^11*d^2 - 384*A^2*B*a^4*b^9*d^2)/(8*a^4*d^5) + (((((320*A*a^4*b^10*d^4 - 192*A*a^2*b^12*d^4 + 384*A*a^6*b^8*d^4 + 256*B*a^3*b^11*d^4 + 128*B*a^5*b^9*d^4)/(8*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(64*a^9*d^5))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) + ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2)*1i)/(a^5*d))/((24*A^5*a^2*b^10 - 9*A^3*B^2*b^12 - 9*A^5*b^12 + 32*B^5*a^3*b^9 - 16*A^3*B^2*a^2*b^10 + 64*A^3*B^2*a^4*b^8 + 24*A^4*B*a*b^11 - 40*A*B^4*a^2*b^10 + 64*A*B^4*a^4*b^8 + 24*A^2*B^3*a*b^11 - 32*A^4*B*a^3*b^9)/(a^4*d^5) + (((((32*B^3*a^2*b^11*d^2 - 96*A^3*a^5*b^8*d^2 + 128*B^3*a^4*b^9*d^2 + 18*A^2*B*b^13*d^2 + 18*A^3*a*b^12*d^2 - 48*A*B^2*a*b^12*d^2 - 192*A*B^2*a^3*b^10*d^2 + 288*A*B^2*a^5*b^8*d^2 + 48*A^2*B*a^2*b^11*d^2 - 384*A^2*B*a^4*b^9*d^2)/(8*a^4*d^5) + (((((320*A*a^4*b^10*d^4 - 192*A*a^2*b^12*d^4 + 384*A*a^6*b^8*d^4 + 256*B*a^3*b^11*d^4 + 128*B*a^5*b^9*d^4)/(8*a^4*d^5) - ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(64*a^9*d^5))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) + ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) - ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(a^5*d) + (((((32*B^3*a^2*b^11*d^2 - 96*A^3*a^5*b^8*d^2 + 128*B^3*a^4*b^9*d^2 + 18*A^2*B*b^13*d^2 + 18*A^3*a*b^12*d^2 - 48*A*B^2*a*b^12*d^2 - 192*A*B^2*a^3*b^10*d^2 + 288*A*B^2*a^5*b^8*d^2 + 48*A^2*B*a^2*b^11*d^2 - 384*A^2*B*a^4*b^9*d^2)/(8*a^4*d^5) + (((((320*A*a^4*b^10*d^4 - 192*A*a^2*b^12*d^4 + 384*A*a^6*b^8*d^4 + 256*B*a^3*b^11*d^4 + 128*B*a^5*b^9*d^4)/(8*a^4*d^5) + ((512*a^4*b^10*d^4 + 768*a^6*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(64*a^9*d^5))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^5*b^8*d^2 - 192*A^2*a^3*b^10*d^2 + 64*B^2*a^3*b^10*d^2 - 320*B^2*a^5*b^8*d^2 + 36*A^2*a*b^12*d^2 - 96*A*B*a^2*b^11*d^2 + 768*A*B*a^4*b^9*d^2))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(8*a^5*d) + ((a + b*tan(c + d*x))^(1/2)*(9*A^4*b^12 - 9*A^2*B^2*b^12 - 48*A^4*a^2*b^10 + 96*A^4*a^4*b^8 - 16*B^4*a^2*b^10 + 32*B^4*a^4*b^8 + 64*A^2*B^2*a^2*b^10 + 24*A*B^3*a*b^11 - 24*A^3*B*a*b^11 - 64*A*B^3*a^3*b^9 + 64*A^3*B*a^3*b^9))/(8*a^4*d^4))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2))/(a^5*d)))*(64*A^2*a^9 + 9*A^2*a^5*b^4 - 48*A^2*a^7*b^2 + 16*B^2*a^7*b^2 + 64*A*B*a^8*b - 24*A*B*a^6*b^3)^(1/2)*1i)/(4*a^5*d)","B"
350,1,5811,264,20.575428,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\frac{\ln\left(24\,A^3\,a^3\,b^6\,d^2-\frac{\left(\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}-32\,A\,b^{12}\,d^4-96\,A\,a^2\,b^{10}\,d^4-64\,A\,a^4\,b^8\,d^4+64\,A\,a^6\,b^6\,d^4+96\,A\,a^8\,b^4\,d^4+32\,A\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+24\,A^3\,a^5\,b^4\,d^2+8\,A^3\,a^7\,b^2\,d^2+8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(24\,A^3\,a^3\,b^6\,d^2-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}-32\,A\,b^{12}\,d^4-96\,A\,a^2\,b^{10}\,d^4-64\,A\,a^4\,b^8\,d^4+64\,A\,a^6\,b^6\,d^4+96\,A\,a^8\,b^4\,d^4+32\,A\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+24\,A^3\,a^5\,b^4\,d^2+8\,A^3\,a^7\,b^2\,d^2+8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(\left(\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(32\,A\,b^{12}\,d^4+\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,a^2\,b^{10}\,d^4+64\,A\,a^4\,b^8\,d^4-64\,A\,a^6\,b^6\,d^4-96\,A\,a^8\,b^4\,d^4-32\,A\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,A^3\,a^3\,b^6\,d^2+24\,A^3\,a^5\,b^4\,d^2+8\,A^3\,a^7\,b^2\,d^2+8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\left(\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(32\,A\,b^{12}\,d^4+\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,a^2\,b^{10}\,d^4+64\,A\,a^4\,b^8\,d^4-64\,A\,a^6\,b^6\,d^4-96\,A\,a^8\,b^4\,d^4-32\,A\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,A^3\,a^3\,b^6\,d^2+24\,A^3\,a^5\,b^4\,d^2+8\,A^3\,a^7\,b^2\,d^2+8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)-\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+64\,B\,a\,b^{11}\,d^4+256\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+8\,B^3\,b^9\,d^2+24\,B^3\,a^2\,b^7\,d^2+24\,B^3\,a^4\,b^5\,d^2+8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)-\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+64\,B\,a\,b^{11}\,d^4+256\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+8\,B^3\,b^9\,d^2+24\,B^3\,a^2\,b^7\,d^2+24\,B^3\,a^4\,b^5\,d^2+8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(8\,B^3\,b^9\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)+\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,B\,a\,b^{11}\,d^4-\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,B^3\,a^2\,b^7\,d^2+24\,B^3\,a^4\,b^5\,d^2+8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(8\,B^3\,b^9\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)+\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,B\,a\,b^{11}\,d^4-\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,B^3\,a^2\,b^7\,d^2+24\,B^3\,a^4\,b^5\,d^2+8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{2\,A\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^3\,d}-\frac{4\,B\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}+\frac{2\,A\,a^3}{b^2\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}-\frac{2\,B\,a^4}{b^3\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"(log(24*A^3*a^3*b^6*d^2 - ((((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(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)*(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 - 32*A*b^12*d^4 - 96*A*a^2*b^10*d^4 - 64*A*a^4*b^8*d^4 + 64*A*a^6*b^6*d^4 + 96*A*a^8*b^4*d^4 + 32*A*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 24*A^3*a^5*b^4*d^2 + 8*A^3*a^7*b^2*d^2 + 8*A^3*a*b^8*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log(24*A^3*a^3*b^6*d^2 - ((((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(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)*(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 - 32*A*b^12*d^4 - 96*A*a^2*b^10*d^4 - 64*A*a^4*b^8*d^4 + 64*A*a^6*b^6*d^4 + 96*A*a^8*b^4*d^4 + 32*A*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 24*A^3*a^5*b^4*d^2 + 8*A^3*a^7*b^2*d^2 + 8*A^3*a*b^8*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(32*A*b^12*d^4 + (((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*a^2*b^10*d^4 + 64*A*a^4*b^8*d^4 - 64*A*a^6*b^6*d^4 - 96*A*a^8*b^4*d^4 - 32*A*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*A^3*a^3*b^6*d^2 + 24*A^3*a^5*b^4*d^2 + 8*A^3*a^7*b^2*d^2 + 8*A^3*a*b^8*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(32*A*b^12*d^4 + (-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*a^2*b^10*d^4 + 64*A*a^4*b^8*d^4 - 64*A*a^6*b^6*d^4 - 96*A*a^8*b^4*d^4 - 32*A*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*A^3*a^3*b^6*d^2 + 24*A^3*a^5*b^4*d^2 + 8*A^3*a^7*b^2*d^2 + 8*A^3*a*b^8*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (log((((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) - ((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(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)*(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 + 64*B*a*b^11*d^4 + 256*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))/4)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 8*B^3*b^9*d^2 + 24*B^3*a^2*b^7*d^2 + 24*B^3*a^4*b^5*d^2 + 8*B^3*a^6*b^3*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log((((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) - ((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(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)*(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 + 64*B*a*b^11*d^4 + 256*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))/4)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 8*B^3*b^9*d^2 + 24*B^3*a^2*b^7*d^2 + 24*B^3*a^4*b^5*d^2 + 8*B^3*a^6*b^3*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(8*B^3*b^9*d^2 - ((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) + (((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*B*a*b^11*d^4 - (((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*B^3*a^2*b^7*d^2 + 24*B^3*a^4*b^5*d^2 + 8*B^3*a^6*b^3*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(8*B^3*b^9*d^2 - ((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) + (-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*B*a*b^11*d^4 - (-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*B^3*a^2*b^7*d^2 + 24*B^3*a^4*b^5*d^2 + 8*B^3*a^6*b^3*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (2*A*(a + b*tan(c + d*x))^(1/2))/(b^2*d) + (2*B*(a + b*tan(c + d*x))^(3/2))/(3*b^3*d) - (4*B*a*(a + b*tan(c + d*x))^(1/2))/(b^3*d) + (2*A*a^3)/(b^2*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2)) - (2*B*a^4)/(b^3*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
351,1,5768,167,13.281065,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(64\,A\,a\,b^{11}\,d^4-\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+256\,A\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-8\,A^3\,b^9\,d^2-24\,A^3\,a^2\,b^7\,d^2-24\,A^3\,a^4\,b^5\,d^2-8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(64\,A\,a\,b^{11}\,d^4-\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+256\,A\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-8\,A^3\,b^9\,d^2-24\,A^3\,a^2\,b^7\,d^2-24\,A^3\,a^4\,b^5\,d^2-8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)-\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)+64\,A\,a\,b^{11}\,d^4+256\,A\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-8\,A^3\,b^9\,d^2-24\,A^3\,a^2\,b^7\,d^2-24\,A^3\,a^4\,b^5\,d^2-8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)-\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)+64\,A\,a\,b^{11}\,d^4+256\,A\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-8\,A^3\,b^9\,d^2-24\,A^3\,a^2\,b^7\,d^2-24\,A^3\,a^4\,b^5\,d^2-8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{\ln\left(24\,B^3\,a^3\,b^6\,d^2-\frac{\left(\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}-32\,B\,b^{12}\,d^4-96\,B\,a^2\,b^{10}\,d^4-64\,B\,a^4\,b^8\,d^4+64\,B\,a^6\,b^6\,d^4+96\,B\,a^8\,b^4\,d^4+32\,B\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+24\,B^3\,a^5\,b^4\,d^2+8\,B^3\,a^7\,b^2\,d^2+8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(24\,B^3\,a^3\,b^6\,d^2-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}-32\,B\,b^{12}\,d^4-96\,B\,a^2\,b^{10}\,d^4-64\,B\,a^4\,b^8\,d^4+64\,B\,a^6\,b^6\,d^4+96\,B\,a^8\,b^4\,d^4+32\,B\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+24\,B^3\,a^5\,b^4\,d^2+8\,B^3\,a^7\,b^2\,d^2+8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(32\,B\,b^{12}\,d^4+\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,B\,a^2\,b^{10}\,d^4+64\,B\,a^4\,b^8\,d^4-64\,B\,a^6\,b^6\,d^4-96\,B\,a^8\,b^4\,d^4-32\,B\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,B^3\,a^3\,b^6\,d^2+24\,B^3\,a^5\,b^4\,d^2+8\,B^3\,a^7\,b^2\,d^2+8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(32\,B\,b^{12}\,d^4+\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,B\,a^2\,b^{10}\,d^4+64\,B\,a^4\,b^8\,d^4-64\,B\,a^6\,b^6\,d^4-96\,B\,a^8\,b^4\,d^4-32\,B\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,B^3\,a^3\,b^6\,d^2+24\,B^3\,a^5\,b^4\,d^2+8\,B^3\,a^7\,b^2\,d^2+8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{2\,B\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}-\frac{2\,A\,a^2}{b\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\frac{2\,B\,a^3}{b^2\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) + ((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(64*A*a*b^11*d^4 - ((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(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)*(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 + 256*A*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))/4)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 8*A^3*b^9*d^2 - 24*A^3*a^2*b^7*d^2 - 24*A^3*a^4*b^5*d^2 - 8*A^3*a^6*b^3*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log((((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) + ((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(64*A*a*b^11*d^4 - ((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(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)*(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 + 256*A*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))/4)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 8*A^3*b^9*d^2 - 24*A^3*a^2*b^7*d^2 - 24*A^3*a^4*b^5*d^2 - 8*A^3*a^6*b^3*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(- ((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) - (((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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) + 64*A*a*b^11*d^4 + 256*A*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 8*A^3*b^9*d^2 - 24*A^3*a^2*b^7*d^2 - 24*A^3*a^4*b^5*d^2 - 8*A^3*a^6*b^3*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(- ((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) - (-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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) + 64*A*a*b^11*d^4 + 256*A*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 8*A^3*b^9*d^2 - 24*A^3*a^2*b^7*d^2 - 24*A^3*a^4*b^5*d^2 - 8*A^3*a^6*b^3*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (log(24*B^3*a^3*b^6*d^2 - ((((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(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)*(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 - 32*B*b^12*d^4 - 96*B*a^2*b^10*d^4 - 64*B*a^4*b^8*d^4 + 64*B*a^6*b^6*d^4 + 96*B*a^8*b^4*d^4 + 32*B*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 24*B^3*a^5*b^4*d^2 + 8*B^3*a^7*b^2*d^2 + 8*B^3*a*b^8*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log(24*B^3*a^3*b^6*d^2 - ((((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(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)*(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 - 32*B*b^12*d^4 - 96*B*a^2*b^10*d^4 - 64*B*a^4*b^8*d^4 + 64*B*a^6*b^6*d^4 + 96*B*a^8*b^4*d^4 + 32*B*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 24*B^3*a^5*b^4*d^2 + 8*B^3*a^7*b^2*d^2 + 8*B^3*a*b^8*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(32*B*b^12*d^4 + (((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*B*a^2*b^10*d^4 + 64*B*a^4*b^8*d^4 - 64*B*a^6*b^6*d^4 - 96*B*a^8*b^4*d^4 - 32*B*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*B^3*a^3*b^6*d^2 + 24*B^3*a^5*b^4*d^2 + 8*B^3*a^7*b^2*d^2 + 8*B^3*a*b^8*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(32*B*b^12*d^4 + (-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*B*a^2*b^10*d^4 + 64*B*a^4*b^8*d^4 - 64*B*a^6*b^6*d^4 - 96*B*a^8*b^4*d^4 - 32*B*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*B^3*a^3*b^6*d^2 + 24*B^3*a^5*b^4*d^2 + 8*B^3*a^7*b^2*d^2 + 8*B^3*a*b^8*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (2*B*(a + b*tan(c + d*x))^(1/2))/(b^2*d) - (2*A*a^2)/(b*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2)) + (2*B*a^3)/(b^2*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
352,1,5742,141,12.184738,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\frac{\ln\left(-\frac{\left(\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(32\,A\,b^{12}\,d^4+\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+96\,A\,a^2\,b^{10}\,d^4+64\,A\,a^4\,b^8\,d^4-64\,A\,a^6\,b^6\,d^4-96\,A\,a^8\,b^4\,d^4-32\,A\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-24\,A^3\,a^3\,b^6\,d^2-24\,A^3\,a^5\,b^4\,d^2-8\,A^3\,a^7\,b^2\,d^2-8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(32\,A\,b^{12}\,d^4+\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+96\,A\,a^2\,b^{10}\,d^4+64\,A\,a^4\,b^8\,d^4-64\,A\,a^6\,b^6\,d^4-96\,A\,a^8\,b^4\,d^4-32\,A\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-24\,A^3\,a^3\,b^6\,d^2-24\,A^3\,a^5\,b^4\,d^2-8\,A^3\,a^7\,b^2\,d^2-8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(\left(\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,A\,b^{12}\,d^4-96\,A\,a^2\,b^{10}\,d^4-64\,A\,a^4\,b^8\,d^4+64\,A\,a^6\,b^6\,d^4+96\,A\,a^8\,b^4\,d^4+32\,A\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-24\,A^3\,a^3\,b^6\,d^2-24\,A^3\,a^5\,b^4\,d^2-8\,A^3\,a^7\,b^2\,d^2-8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\left(\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,A\,b^{12}\,d^4-96\,A\,a^2\,b^{10}\,d^4-64\,A\,a^4\,b^8\,d^4+64\,A\,a^6\,b^6\,d^4+96\,A\,a^8\,b^4\,d^4+32\,A\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-24\,A^3\,a^3\,b^6\,d^2-24\,A^3\,a^5\,b^4\,d^2-8\,A^3\,a^7\,b^2\,d^2-8\,A^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(64\,B\,a\,b^{11}\,d^4-\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+256\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-8\,B^3\,b^9\,d^2-24\,B^3\,a^2\,b^7\,d^2-24\,B^3\,a^4\,b^5\,d^2-8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(64\,B\,a\,b^{11}\,d^4-\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+256\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-8\,B^3\,b^9\,d^2-24\,B^3\,a^2\,b^7\,d^2-24\,B^3\,a^4\,b^5\,d^2-8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)-\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)+64\,B\,a\,b^{11}\,d^4+256\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-8\,B^3\,b^9\,d^2-24\,B^3\,a^2\,b^7\,d^2-24\,B^3\,a^4\,b^5\,d^2-8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)-\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)+64\,B\,a\,b^{11}\,d^4+256\,B\,a^3\,b^9\,d^4+384\,B\,a^5\,b^7\,d^4+256\,B\,a^7\,b^5\,d^4+64\,B\,a^9\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-8\,B^3\,b^9\,d^2-24\,B^3\,a^2\,b^7\,d^2-24\,B^3\,a^4\,b^5\,d^2-8\,B^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{2\,A\,a}{d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}-\frac{2\,B\,a^2}{b\,d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"(log(- ((((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(32*A*b^12*d^4 + ((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(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)*(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 + 96*A*a^2*b^10*d^4 + 64*A*a^4*b^8*d^4 - 64*A*a^6*b^6*d^4 - 96*A*a^8*b^4*d^4 - 32*A*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 24*A^3*a^3*b^6*d^2 - 24*A^3*a^5*b^4*d^2 - 8*A^3*a^7*b^2*d^2 - 8*A^3*a*b^8*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log(- ((((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(32*A*b^12*d^4 + ((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(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)*(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 + 96*A*a^2*b^10*d^4 + 64*A*a^4*b^8*d^4 - 64*A*a^6*b^6*d^4 - 96*A*a^8*b^4*d^4 - 32*A*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 24*A^3*a^3*b^6*d^2 - 24*A^3*a^5*b^4*d^2 - 8*A^3*a^7*b^2*d^2 - 8*A^3*a*b^8*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*A*b^12*d^4 - 96*A*a^2*b^10*d^4 - 64*A*a^4*b^8*d^4 + 64*A*a^6*b^6*d^4 + 96*A*a^8*b^4*d^4 + 32*A*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 24*A^3*a^3*b^6*d^2 - 24*A^3*a^5*b^4*d^2 - 8*A^3*a^7*b^2*d^2 - 8*A^3*a*b^8*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*A*b^12*d^4 - 96*A*a^2*b^10*d^4 - 64*A*a^4*b^8*d^4 + 64*A*a^6*b^6*d^4 + 96*A*a^8*b^4*d^4 + 32*A*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3))*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 24*A^3*a^3*b^6*d^2 - 24*A^3*a^5*b^4*d^2 - 8*A^3*a^7*b^2*d^2 - 8*A^3*a*b^8*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (log((((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) + ((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(64*B*a*b^11*d^4 - ((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(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)*(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 + 256*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))/4)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 8*B^3*b^9*d^2 - 24*B^3*a^2*b^7*d^2 - 24*B^3*a^4*b^5*d^2 - 8*B^3*a^6*b^3*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log((((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) + ((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(64*B*a*b^11*d^4 - ((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(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)*(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 + 256*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))/4)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 8*B^3*b^9*d^2 - 24*B^3*a^2*b^7*d^2 - 24*B^3*a^4*b^5*d^2 - 8*B^3*a^6*b^3*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(- ((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) - (((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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) + 64*B*a*b^11*d^4 + 256*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 8*B^3*b^9*d^2 - 24*B^3*a^2*b^7*d^2 - 24*B^3*a^4*b^5*d^2 - 8*B^3*a^6*b^3*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(- ((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3) - (-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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) + 64*B*a*b^11*d^4 + 256*B*a^3*b^9*d^4 + 384*B*a^5*b^7*d^4 + 256*B*a^7*b^5*d^4 + 64*B*a^9*b^3*d^4))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 8*B^3*b^9*d^2 - 24*B^3*a^2*b^7*d^2 - 24*B^3*a^4*b^5*d^2 - 8*B^3*a^6*b^3*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (2*A*a)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2)) - (2*B*a^2)/(b*d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
353,1,5737,138,12.071424,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x))^(3/2),x)","\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)-\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+64\,A\,a\,b^{11}\,d^4+256\,A\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+8\,A^3\,b^9\,d^2+24\,A^3\,a^2\,b^7\,d^2+24\,A^3\,a^4\,b^5\,d^2+8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)-\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+64\,A\,a\,b^{11}\,d^4+256\,A\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+8\,A^3\,b^9\,d^2+24\,A^3\,a^2\,b^7\,d^2+24\,A^3\,a^4\,b^5\,d^2+8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(8\,A^3\,b^9\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)+\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,A\,a\,b^{11}\,d^4-\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,A^3\,a^2\,b^7\,d^2+24\,A^3\,a^4\,b^5\,d^2+8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}-4\,A^2\,a^3\,d^2+12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(8\,A^3\,b^9\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^8\,b^2\,d^3-32\,A^2\,a^6\,b^4\,d^3+32\,A^2\,a^2\,b^8\,d^3+16\,A^2\,b^{10}\,d^3\right)+\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,A\,a\,b^{11}\,d^4-\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,a^3\,b^9\,d^4+384\,A\,a^5\,b^7\,d^4+256\,A\,a^7\,b^5\,d^4+64\,A\,a^9\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+24\,A^3\,a^2\,b^7\,d^2+24\,A^3\,a^4\,b^5\,d^2+8\,A^3\,a^6\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,A^4\,a^4\,b^2\,d^4+96\,A^4\,a^2\,b^4\,d^4-16\,A^4\,b^6\,d^4}+4\,A^2\,a^3\,d^2-12\,A^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{\ln\left(-\frac{\left(\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(32\,B\,b^{12}\,d^4+\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+96\,B\,a^2\,b^{10}\,d^4+64\,B\,a^4\,b^8\,d^4-64\,B\,a^6\,b^6\,d^4-96\,B\,a^8\,b^4\,d^4-32\,B\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-24\,B^3\,a^3\,b^6\,d^2-24\,B^3\,a^5\,b^4\,d^2-8\,B^3\,a^7\,b^2\,d^2-8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(32\,B\,b^{12}\,d^4+\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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}+96\,B\,a^2\,b^{10}\,d^4+64\,B\,a^4\,b^8\,d^4-64\,B\,a^6\,b^6\,d^4-96\,B\,a^8\,b^4\,d^4-32\,B\,a^{10}\,b^2\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-24\,B^3\,a^3\,b^6\,d^2-24\,B^3\,a^5\,b^4\,d^2-8\,B^3\,a^7\,b^2\,d^2-8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,B\,b^{12}\,d^4-96\,B\,a^2\,b^{10}\,d^4-64\,B\,a^4\,b^8\,d^4+64\,B\,a^6\,b^6\,d^4+96\,B\,a^8\,b^4\,d^4+32\,B\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-24\,B^3\,a^3\,b^6\,d^2-24\,B^3\,a^5\,b^4\,d^2-8\,B^3\,a^7\,b^2\,d^2-8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,B\,b^{12}\,d^4-96\,B\,a^2\,b^{10}\,d^4-64\,B\,a^4\,b^8\,d^4+64\,B\,a^6\,b^6\,d^4+96\,B\,a^8\,b^4\,d^4+32\,B\,a^{10}\,b^2\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^2\,d^3-32\,B^2\,a^6\,b^4\,d^3+32\,B^2\,a^2\,b^8\,d^3+16\,B^2\,b^{10}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-24\,B^3\,a^3\,b^6\,d^2-24\,B^3\,a^5\,b^4\,d^2-8\,B^3\,a^7\,b^2\,d^2-8\,B^3\,a\,b^8\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\frac{2\,A\,b}{d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\frac{2\,B\,a}{d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) - ((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(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)*(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 + 64*A*a*b^11*d^4 + 256*A*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))/4)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 8*A^3*b^9*d^2 + 24*A^3*a^2*b^7*d^2 + 24*A^3*a^4*b^5*d^2 + 8*A^3*a^6*b^3*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log((((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) - ((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(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)*(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 + 64*A*a*b^11*d^4 + 256*A*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))/4)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + 8*A^3*b^9*d^2 + 24*A^3*a^2*b^7*d^2 + 24*A^3*a^4*b^5*d^2 + 8*A^3*a^6*b^3*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(8*A^3*b^9*d^2 - ((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) + (((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*A*a*b^11*d^4 - (((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*A^3*a^2*b^7*d^2 + 24*A^3*a^4*b^5*d^2 + 8*A^3*a^6*b^3*d^2)*(((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) - 4*A^2*a^3*d^2 + 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(8*A^3*b^9*d^2 - ((a + b*tan(c + d*x))^(1/2)*(16*A^2*b^10*d^3 + 32*A^2*a^2*b^8*d^3 - 32*A^2*a^6*b^4*d^3 - 16*A^2*a^8*b^2*d^3) + (-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*A*a*b^11*d^4 - (-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*a^3*b^9*d^4 + 384*A*a^5*b^7*d^4 + 256*A*a^7*b^5*d^4 + 64*A*a^9*b^3*d^4))*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 24*A^3*a^2*b^7*d^2 + 24*A^3*a^4*b^5*d^2 + 8*A^3*a^6*b^3*d^2)*(-((96*A^4*a^2*b^4*d^4 - 16*A^4*b^6*d^4 - 144*A^4*a^4*b^2*d^4)^(1/2) + 4*A^2*a^3*d^2 - 12*A^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (log(- ((((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(32*B*b^12*d^4 + ((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(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)*(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 + 96*B*a^2*b^10*d^4 + 64*B*a^4*b^8*d^4 - 64*B*a^6*b^6*d^4 - 96*B*a^8*b^4*d^4 - 32*B*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 24*B^3*a^3*b^6*d^2 - 24*B^3*a^5*b^4*d^2 - 8*B^3*a^7*b^2*d^2 - 8*B^3*a*b^8*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log(- ((((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(32*B*b^12*d^4 + ((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(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)*(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 + 96*B*a^2*b^10*d^4 + 64*B*a^4*b^8*d^4 - 64*B*a^6*b^6*d^4 - 96*B*a^8*b^4*d^4 - 32*B*a^10*b^2*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 24*B^3*a^3*b^6*d^2 - 24*B^3*a^5*b^4*d^2 - 8*B^3*a^7*b^2*d^2 - 8*B^3*a*b^8*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*b^12*d^4 - 96*B*a^2*b^10*d^4 - 64*B*a^4*b^8*d^4 + 64*B*a^6*b^6*d^4 + 96*B*a^8*b^4*d^4 + 32*B*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 24*B^3*a^3*b^6*d^2 - 24*B^3*a^5*b^4*d^2 - 8*B^3*a^7*b^2*d^2 - 8*B^3*a*b^8*d^2)*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*b^12*d^4 - 96*B*a^2*b^10*d^4 - 64*B*a^4*b^8*d^4 + 64*B*a^6*b^6*d^4 + 96*B*a^8*b^4*d^4 + 32*B*a^10*b^2*d^4) + (a + b*tan(c + d*x))^(1/2)*(16*B^2*b^10*d^3 + 32*B^2*a^2*b^8*d^3 - 32*B^2*a^6*b^4*d^3 - 16*B^2*a^8*b^2*d^3))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 24*B^3*a^3*b^6*d^2 - 24*B^3*a^5*b^4*d^2 - 8*B^3*a^7*b^2*d^2 - 8*B^3*a*b^8*d^2)*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - (2*A*b)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2)) + (2*B*a)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
354,1,26139,171,12.912582,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\mathrm{atan}\left(-\frac{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^8\,b^{28}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6+2592\,A^3\,a^{11}\,b^{22}\,d^6+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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(2592\,A^3\,a^{11}\,b^{22}\,d^6-128\,A^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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)+512\,A\,a^8\,b^{28}\,d^8+5248\,A\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^8\,b^{28}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6+2592\,A^3\,a^{11}\,b^{22}\,d^6+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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(2592\,A^3\,a^{11}\,b^{22}\,d^6-128\,A^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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)+512\,A\,a^8\,b^{28}\,d^8+5248\,A\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+64\,A\,B^4\,a^8\,b^{22}\,d^4+448\,A\,B^4\,a^{10}\,b^{20}\,d^4+1344\,A\,B^4\,a^{12}\,b^{18}\,d^4+2240\,A\,B^4\,a^{14}\,b^{16}\,d^4+2240\,A\,B^4\,a^{16}\,b^{14}\,d^4+1344\,A\,B^4\,a^{18}\,b^{12}\,d^4+448\,A\,B^4\,a^{20}\,b^{10}\,d^4+64\,A\,B^4\,a^{22}\,b^8\,d^4-64\,A^4\,B\,a^7\,b^{23}\,d^4-448\,A^4\,B\,a^9\,b^{21}\,d^4-1344\,A^4\,B\,a^{11}\,b^{19}\,d^4-2240\,A^4\,B\,a^{13}\,b^{17}\,d^4-2240\,A^4\,B\,a^{15}\,b^{15}\,d^4-1344\,A^4\,B\,a^{17}\,b^{13}\,d^4-448\,A^4\,B\,a^{19}\,b^{11}\,d^4-64\,A^4\,B\,a^{21}\,b^9\,d^4-64\,A^2\,B^3\,a^7\,b^{23}\,d^4-448\,A^2\,B^3\,a^9\,b^{21}\,d^4-1344\,A^2\,B^3\,a^{11}\,b^{19}\,d^4-2240\,A^2\,B^3\,a^{13}\,b^{17}\,d^4-2240\,A^2\,B^3\,a^{15}\,b^{15}\,d^4-1344\,A^2\,B^3\,a^{17}\,b^{13}\,d^4-448\,A^2\,B^3\,a^{19}\,b^{11}\,d^4-64\,A^2\,B^3\,a^{21}\,b^9\,d^4+64\,A^3\,B^2\,a^8\,b^{22}\,d^4+448\,A^3\,B^2\,a^{10}\,b^{20}\,d^4+1344\,A^3\,B^2\,a^{12}\,b^{18}\,d^4+2240\,A^3\,B^2\,a^{14}\,b^{16}\,d^4+2240\,A^3\,B^2\,a^{16}\,b^{14}\,d^4+1344\,A^3\,B^2\,a^{18}\,b^{12}\,d^4+448\,A^3\,B^2\,a^{20}\,b^{10}\,d^4+64\,A^3\,B^2\,a^{22}\,b^8\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(-\frac{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^8\,b^{28}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6+2592\,A^3\,a^{11}\,b^{22}\,d^6+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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(2592\,A^3\,a^{11}\,b^{22}\,d^6-128\,A^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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)+512\,A\,a^8\,b^{28}\,d^8+5248\,A\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^8\,b^{28}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6+2592\,A^3\,a^{11}\,b^{22}\,d^6+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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(2592\,A^3\,a^{11}\,b^{22}\,d^6-128\,A^3\,a^7\,b^{26}\,d^6-128\,A^3\,a^9\,b^{24}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{26}\,b^8\,d^7+3712\,A^2\,a^{24}\,b^{10}\,d^7+10112\,A^2\,a^{22}\,b^{12}\,d^7+15232\,A^2\,a^{20}\,b^{14}\,d^7+14336\,A^2\,a^{18}\,b^{16}\,d^7+9856\,A^2\,a^{16}\,b^{18}\,d^7+6272\,A^2\,a^{14}\,b^{20}\,d^7+3712\,A^2\,a^{12}\,b^{22}\,d^7+1472\,A^2\,a^{10}\,b^{24}\,d^7+256\,A^2\,a^8\,b^{26}\,d^7+1792\,A\,B\,a^{25}\,b^9\,d^7+12032\,A\,B\,a^{23}\,b^{11}\,d^7+34048\,A\,B\,a^{21}\,b^{13}\,d^7+51968\,A\,B\,a^{19}\,b^{15}\,d^7+44800\,A\,B\,a^{17}\,b^{17}\,d^7+19712\,A\,B\,a^{15}\,b^{19}\,d^7+1792\,A\,B\,a^{13}\,b^{21}\,d^7-1792\,A\,B\,a^{11}\,b^{23}\,d^7-512\,A\,B\,a^9\,b^{25}\,d^7-320\,B^2\,a^{26}\,b^8\,d^7-1408\,B^2\,a^{24}\,b^{10}\,d^7-896\,B^2\,a^{22}\,b^{12}\,d^7+6272\,B^2\,a^{20}\,b^{14}\,d^7+17920\,B^2\,a^{18}\,b^{16}\,d^7+22400\,B^2\,a^{16}\,b^{18}\,d^7+15232\,B^2\,a^{14}\,b^{20}\,d^7+5504\,B^2\,a^{12}\,b^{22}\,d^7+832\,B^2\,a^{10}\,b^{24}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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)+512\,A\,a^8\,b^{28}\,d^8+5248\,A\,a^{10}\,b^{26}\,d^8+23936\,A\,a^{12}\,b^{24}\,d^8+64000\,A\,a^{14}\,b^{22}\,d^8+111104\,A\,a^{16}\,b^{20}\,d^8+130816\,A\,a^{18}\,b^{18}\,d^8+105728\,A\,a^{20}\,b^{16}\,d^8+57856\,A\,a^{22}\,b^{14}\,d^8+20480\,A\,a^{24}\,b^{12}\,d^8+4224\,A\,a^{26}\,b^{10}\,d^8+384\,A\,a^{28}\,b^8\,d^8-256\,B\,a^{11}\,b^{25}\,d^8-2048\,B\,a^{13}\,b^{23}\,d^8-7168\,B\,a^{15}\,b^{21}\,d^8-14336\,B\,a^{17}\,b^{19}\,d^8-17920\,B\,a^{19}\,b^{17}\,d^8-14336\,B\,a^{21}\,b^{15}\,d^8-7168\,B\,a^{23}\,b^{13}\,d^8-2048\,B\,a^{25}\,b^{11}\,d^8-256\,B\,a^{27}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+10976\,A^3\,a^{13}\,b^{20}\,d^6+20384\,A^3\,a^{15}\,b^{18}\,d^6+20832\,A^3\,a^{17}\,b^{16}\,d^6+11872\,A^3\,a^{19}\,b^{14}\,d^6+3232\,A^3\,a^{21}\,b^{12}\,d^6+96\,A^3\,a^{23}\,b^{10}\,d^6-96\,A^3\,a^{25}\,b^8\,d^6+32\,B^3\,a^{10}\,b^{23}\,d^6+224\,B^3\,a^{12}\,b^{21}\,d^6+672\,B^3\,a^{14}\,b^{19}\,d^6+1120\,B^3\,a^{16}\,b^{17}\,d^6+1120\,B^3\,a^{18}\,b^{15}\,d^6+672\,B^3\,a^{20}\,b^{13}\,d^6+224\,B^3\,a^{22}\,b^{11}\,d^6+32\,B^3\,a^{24}\,b^9\,d^6-768\,A\,B^2\,a^9\,b^{24}\,d^6-5088\,A\,B^2\,a^{11}\,b^{22}\,d^6-14112\,A\,B^2\,a^{13}\,b^{20}\,d^6-20832\,A\,B^2\,a^{15}\,b^{18}\,d^6-16800\,A\,B^2\,a^{17}\,b^{16}\,d^6-6048\,A\,B^2\,a^{19}\,b^{14}\,d^6+672\,A\,B^2\,a^{21}\,b^{12}\,d^6+1248\,A\,B^2\,a^{23}\,b^{10}\,d^6+288\,A\,B^2\,a^{25}\,b^8\,d^6+768\,A^2\,B\,a^8\,b^{25}\,d^6+4128\,A^2\,B\,a^{10}\,b^{23}\,d^6+7392\,A^2\,B\,a^{12}\,b^{21}\,d^6+672\,A^2\,B\,a^{14}\,b^{19}\,d^6-16800\,A^2\,B\,a^{16}\,b^{17}\,d^6-27552\,A^2\,B\,a^{18}\,b^{15}\,d^6-20832\,A^2\,B\,a^{20}\,b^{13}\,d^6-7968\,A^2\,B\,a^{22}\,b^{11}\,d^6-1248\,A^2\,B\,a^{24}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{23}\,b^8\,d^5+608\,A^4\,a^{21}\,b^{10}\,d^5+1568\,A^4\,a^{19}\,b^{12}\,d^5+2016\,A^4\,a^{17}\,b^{14}\,d^5+1120\,A^4\,a^{15}\,b^{16}\,d^5-224\,A^4\,a^{13}\,b^{18}\,d^5-672\,A^4\,a^{11}\,b^{20}\,d^5-352\,A^4\,a^9\,b^{22}\,d^5-64\,A^4\,a^7\,b^{24}\,d^5+256\,A^3\,B\,a^{22}\,b^9\,d^5+1792\,A^3\,B\,a^{20}\,b^{11}\,d^5+5376\,A^3\,B\,a^{18}\,b^{13}\,d^5+8960\,A^3\,B\,a^{16}\,b^{15}\,d^5+8960\,A^3\,B\,a^{14}\,b^{17}\,d^5+5376\,A^3\,B\,a^{12}\,b^{19}\,d^5+1792\,A^3\,B\,a^{10}\,b^{21}\,d^5+256\,A^3\,B\,a^8\,b^{23}\,d^5+64\,A^2\,B^2\,a^{21}\,b^{10}\,d^5+448\,A^2\,B^2\,a^{19}\,b^{12}\,d^5+1344\,A^2\,B^2\,a^{17}\,b^{14}\,d^5+2240\,A^2\,B^2\,a^{15}\,b^{16}\,d^5+2240\,A^2\,B^2\,a^{13}\,b^{18}\,d^5+1344\,A^2\,B^2\,a^{11}\,b^{20}\,d^5+448\,A^2\,B^2\,a^9\,b^{22}\,d^5+64\,A^2\,B^2\,a^7\,b^{24}\,d^5+32\,B^4\,a^{23}\,b^8\,d^5+224\,B^4\,a^{21}\,b^{10}\,d^5+672\,B^4\,a^{19}\,b^{12}\,d^5+1120\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5+672\,B^4\,a^{13}\,b^{18}\,d^5+224\,B^4\,a^{11}\,b^{20}\,d^5+32\,B^4\,a^9\,b^{22}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+64\,A\,B^4\,a^8\,b^{22}\,d^4+448\,A\,B^4\,a^{10}\,b^{20}\,d^4+1344\,A\,B^4\,a^{12}\,b^{18}\,d^4+2240\,A\,B^4\,a^{14}\,b^{16}\,d^4+2240\,A\,B^4\,a^{16}\,b^{14}\,d^4+1344\,A\,B^4\,a^{18}\,b^{12}\,d^4+448\,A\,B^4\,a^{20}\,b^{10}\,d^4+64\,A\,B^4\,a^{22}\,b^8\,d^4-64\,A^4\,B\,a^7\,b^{23}\,d^4-448\,A^4\,B\,a^9\,b^{21}\,d^4-1344\,A^4\,B\,a^{11}\,b^{19}\,d^4-2240\,A^4\,B\,a^{13}\,b^{17}\,d^4-2240\,A^4\,B\,a^{15}\,b^{15}\,d^4-1344\,A^4\,B\,a^{17}\,b^{13}\,d^4-448\,A^4\,B\,a^{19}\,b^{11}\,d^4-64\,A^4\,B\,a^{21}\,b^9\,d^4-64\,A^2\,B^3\,a^7\,b^{23}\,d^4-448\,A^2\,B^3\,a^9\,b^{21}\,d^4-1344\,A^2\,B^3\,a^{11}\,b^{19}\,d^4-2240\,A^2\,B^3\,a^{13}\,b^{17}\,d^4-2240\,A^2\,B^3\,a^{15}\,b^{15}\,d^4-1344\,A^2\,B^3\,a^{17}\,b^{13}\,d^4-448\,A^2\,B^3\,a^{19}\,b^{11}\,d^4-64\,A^2\,B^3\,a^{21}\,b^9\,d^4+64\,A^3\,B^2\,a^8\,b^{22}\,d^4+448\,A^3\,B^2\,a^{10}\,b^{20}\,d^4+1344\,A^3\,B^2\,a^{12}\,b^{18}\,d^4+2240\,A^3\,B^2\,a^{14}\,b^{16}\,d^4+2240\,A^3\,B^2\,a^{16}\,b^{14}\,d^4+1344\,A^3\,B^2\,a^{18}\,b^{12}\,d^4+448\,A^3\,B^2\,a^{20}\,b^{10}\,d^4+64\,A^3\,B^2\,a^{22}\,b^8\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,2{}\mathrm{i}+\frac{2\,\left(A\,b^2-B\,a\,b\right)}{d\,\left(a^3+a\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\frac{A\,\mathrm{atan}\left(\frac{A^4\,a^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,9{}\mathrm{i}+B^4\,a^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}+A^2\,B^2\,a^{13}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,10{}\mathrm{i}+A^4\,a^7\,b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}+A^4\,a^9\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,48{}\mathrm{i}+A^4\,a^{11}\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,72{}\mathrm{i}+A^3\,B\,a^{10}\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}-A^2\,B^2\,a^{11}\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,24{}\mathrm{i}-A^3\,B\,a^{12}\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,48{}\mathrm{i}}{a^6\,\sqrt{a^3}\,\left(a^3\,\left(a^3\,\left(9\,A^4+10\,A^2\,B^2+B^4\right)+16\,A^3\,B\,b^3+72\,A^4\,a\,b^2-48\,A^3\,B\,a^2\,b-24\,A^2\,B^2\,a\,b^2\right)+16\,A^4\,b^6+48\,A^4\,a^2\,b^4\right)}\right)\,2{}\mathrm{i}}{d\,\sqrt{a^3}}","Not used",1,"atan(-(((-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) + (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^8*b^28*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 + 2592*A^3*a^11*b^22*d^6 + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i - ((-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(2592*A^3*a^11*b^22*d^6 - 128*A^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 - ((a + b*tan(c + d*x))^(1/2)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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) + 512*A*a^8*b^28*d^8 + 5248*A*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i)/(((-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) + (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^8*b^28*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 + 2592*A^3*a^11*b^22*d^6 + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(2592*A^3*a^11*b^22*d^6 - 128*A^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 - ((a + b*tan(c + d*x))^(1/2)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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) + 512*A*a^8*b^28*d^8 + 5248*A*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 64*A*B^4*a^8*b^22*d^4 + 448*A*B^4*a^10*b^20*d^4 + 1344*A*B^4*a^12*b^18*d^4 + 2240*A*B^4*a^14*b^16*d^4 + 2240*A*B^4*a^16*b^14*d^4 + 1344*A*B^4*a^18*b^12*d^4 + 448*A*B^4*a^20*b^10*d^4 + 64*A*B^4*a^22*b^8*d^4 - 64*A^4*B*a^7*b^23*d^4 - 448*A^4*B*a^9*b^21*d^4 - 1344*A^4*B*a^11*b^19*d^4 - 2240*A^4*B*a^13*b^17*d^4 - 2240*A^4*B*a^15*b^15*d^4 - 1344*A^4*B*a^17*b^13*d^4 - 448*A^4*B*a^19*b^11*d^4 - 64*A^4*B*a^21*b^9*d^4 - 64*A^2*B^3*a^7*b^23*d^4 - 448*A^2*B^3*a^9*b^21*d^4 - 1344*A^2*B^3*a^11*b^19*d^4 - 2240*A^2*B^3*a^13*b^17*d^4 - 2240*A^2*B^3*a^15*b^15*d^4 - 1344*A^2*B^3*a^17*b^13*d^4 - 448*A^2*B^3*a^19*b^11*d^4 - 64*A^2*B^3*a^21*b^9*d^4 + 64*A^3*B^2*a^8*b^22*d^4 + 448*A^3*B^2*a^10*b^20*d^4 + 1344*A^3*B^2*a^12*b^18*d^4 + 2240*A^3*B^2*a^14*b^16*d^4 + 2240*A^3*B^2*a^16*b^14*d^4 + 1344*A^3*B^2*a^18*b^12*d^4 + 448*A^3*B^2*a^20*b^10*d^4 + 64*A^3*B^2*a^22*b^8*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*2i + atan(-((((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) + ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^8*b^28*d^8 - (a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 + 2592*A^3*a^11*b^22*d^6 + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i - (((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(2592*A^3*a^11*b^22*d^6 - 128*A^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 - ((a + b*tan(c + d*x))^(1/2)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) - ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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) + 512*A*a^8*b^28*d^8 + 5248*A*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i)/((((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) + ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^8*b^28*d^8 - (a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 + 2592*A^3*a^11*b^22*d^6 + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(2592*A^3*a^11*b^22*d^6 - 128*A^3*a^7*b^26*d^6 - 128*A^3*a^9*b^24*d^6 - ((a + b*tan(c + d*x))^(1/2)*(256*A^2*a^8*b^26*d^7 + 1472*A^2*a^10*b^24*d^7 + 3712*A^2*a^12*b^22*d^7 + 6272*A^2*a^14*b^20*d^7 + 9856*A^2*a^16*b^18*d^7 + 14336*A^2*a^18*b^16*d^7 + 15232*A^2*a^20*b^14*d^7 + 10112*A^2*a^22*b^12*d^7 + 3712*A^2*a^24*b^10*d^7 + 576*A^2*a^26*b^8*d^7 + 832*B^2*a^10*b^24*d^7 + 5504*B^2*a^12*b^22*d^7 + 15232*B^2*a^14*b^20*d^7 + 22400*B^2*a^16*b^18*d^7 + 17920*B^2*a^18*b^16*d^7 + 6272*B^2*a^20*b^14*d^7 - 896*B^2*a^22*b^12*d^7 - 1408*B^2*a^24*b^10*d^7 - 320*B^2*a^26*b^8*d^7 - 512*A*B*a^9*b^25*d^7 - 1792*A*B*a^11*b^23*d^7 + 1792*A*B*a^13*b^21*d^7 + 19712*A*B*a^15*b^19*d^7 + 44800*A*B*a^17*b^17*d^7 + 51968*A*B*a^19*b^15*d^7 + 34048*A*B*a^21*b^13*d^7 + 12032*A*B*a^23*b^11*d^7 + 1792*A*B*a^25*b^9*d^7) - ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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) + 512*A*a^8*b^28*d^8 + 5248*A*a^10*b^26*d^8 + 23936*A*a^12*b^24*d^8 + 64000*A*a^14*b^22*d^8 + 111104*A*a^16*b^20*d^8 + 130816*A*a^18*b^18*d^8 + 105728*A*a^20*b^16*d^8 + 57856*A*a^22*b^14*d^8 + 20480*A*a^24*b^12*d^8 + 4224*A*a^26*b^10*d^8 + 384*A*a^28*b^8*d^8 - 256*B*a^11*b^25*d^8 - 2048*B*a^13*b^23*d^8 - 7168*B*a^15*b^21*d^8 - 14336*B*a^17*b^19*d^8 - 17920*B*a^19*b^17*d^8 - 14336*B*a^21*b^15*d^8 - 7168*B*a^23*b^13*d^8 - 2048*B*a^25*b^11*d^8 - 256*B*a^27*b^9*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 10976*A^3*a^13*b^20*d^6 + 20384*A^3*a^15*b^18*d^6 + 20832*A^3*a^17*b^16*d^6 + 11872*A^3*a^19*b^14*d^6 + 3232*A^3*a^21*b^12*d^6 + 96*A^3*a^23*b^10*d^6 - 96*A^3*a^25*b^8*d^6 + 32*B^3*a^10*b^23*d^6 + 224*B^3*a^12*b^21*d^6 + 672*B^3*a^14*b^19*d^6 + 1120*B^3*a^16*b^17*d^6 + 1120*B^3*a^18*b^15*d^6 + 672*B^3*a^20*b^13*d^6 + 224*B^3*a^22*b^11*d^6 + 32*B^3*a^24*b^9*d^6 - 768*A*B^2*a^9*b^24*d^6 - 5088*A*B^2*a^11*b^22*d^6 - 14112*A*B^2*a^13*b^20*d^6 - 20832*A*B^2*a^15*b^18*d^6 - 16800*A*B^2*a^17*b^16*d^6 - 6048*A*B^2*a^19*b^14*d^6 + 672*A*B^2*a^21*b^12*d^6 + 1248*A*B^2*a^23*b^10*d^6 + 288*A*B^2*a^25*b^8*d^6 + 768*A^2*B*a^8*b^25*d^6 + 4128*A^2*B*a^10*b^23*d^6 + 7392*A^2*B*a^12*b^21*d^6 + 672*A^2*B*a^14*b^19*d^6 - 16800*A^2*B*a^16*b^17*d^6 - 27552*A^2*B*a^18*b^15*d^6 - 20832*A^2*B*a^20*b^13*d^6 - 7968*A^2*B*a^22*b^11*d^6 - 1248*A^2*B*a^24*b^9*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*A^4*a^15*b^16*d^5 - 352*A^4*a^9*b^22*d^5 - 672*A^4*a^11*b^20*d^5 - 224*A^4*a^13*b^18*d^5 - 64*A^4*a^7*b^24*d^5 + 2016*A^4*a^17*b^14*d^5 + 1568*A^4*a^19*b^12*d^5 + 608*A^4*a^21*b^10*d^5 + 96*A^4*a^23*b^8*d^5 + 32*B^4*a^9*b^22*d^5 + 224*B^4*a^11*b^20*d^5 + 672*B^4*a^13*b^18*d^5 + 1120*B^4*a^15*b^16*d^5 + 1120*B^4*a^17*b^14*d^5 + 672*B^4*a^19*b^12*d^5 + 224*B^4*a^21*b^10*d^5 + 32*B^4*a^23*b^8*d^5 + 256*A^3*B*a^8*b^23*d^5 + 1792*A^3*B*a^10*b^21*d^5 + 5376*A^3*B*a^12*b^19*d^5 + 8960*A^3*B*a^14*b^17*d^5 + 8960*A^3*B*a^16*b^15*d^5 + 5376*A^3*B*a^18*b^13*d^5 + 1792*A^3*B*a^20*b^11*d^5 + 256*A^3*B*a^22*b^9*d^5 + 64*A^2*B^2*a^7*b^24*d^5 + 448*A^2*B^2*a^9*b^22*d^5 + 1344*A^2*B^2*a^11*b^20*d^5 + 2240*A^2*B^2*a^13*b^18*d^5 + 2240*A^2*B^2*a^15*b^16*d^5 + 1344*A^2*B^2*a^17*b^14*d^5 + 448*A^2*B^2*a^19*b^12*d^5 + 64*A^2*B^2*a^21*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 64*A*B^4*a^8*b^22*d^4 + 448*A*B^4*a^10*b^20*d^4 + 1344*A*B^4*a^12*b^18*d^4 + 2240*A*B^4*a^14*b^16*d^4 + 2240*A*B^4*a^16*b^14*d^4 + 1344*A*B^4*a^18*b^12*d^4 + 448*A*B^4*a^20*b^10*d^4 + 64*A*B^4*a^22*b^8*d^4 - 64*A^4*B*a^7*b^23*d^4 - 448*A^4*B*a^9*b^21*d^4 - 1344*A^4*B*a^11*b^19*d^4 - 2240*A^4*B*a^13*b^17*d^4 - 2240*A^4*B*a^15*b^15*d^4 - 1344*A^4*B*a^17*b^13*d^4 - 448*A^4*B*a^19*b^11*d^4 - 64*A^4*B*a^21*b^9*d^4 - 64*A^2*B^3*a^7*b^23*d^4 - 448*A^2*B^3*a^9*b^21*d^4 - 1344*A^2*B^3*a^11*b^19*d^4 - 2240*A^2*B^3*a^13*b^17*d^4 - 2240*A^2*B^3*a^15*b^15*d^4 - 1344*A^2*B^3*a^17*b^13*d^4 - 448*A^2*B^3*a^19*b^11*d^4 - 64*A^2*B^3*a^21*b^9*d^4 + 64*A^3*B^2*a^8*b^22*d^4 + 448*A^3*B^2*a^10*b^20*d^4 + 1344*A^3*B^2*a^12*b^18*d^4 + 2240*A^3*B^2*a^14*b^16*d^4 + 2240*A^3*B^2*a^16*b^14*d^4 + 1344*A^3*B^2*a^18*b^12*d^4 + 448*A^3*B^2*a^20*b^10*d^4 + 64*A^3*B^2*a^22*b^8*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*2i + (2*(A*b^2 - B*a*b))/(d*(a*b^2 + a^3)*(a + b*tan(c + d*x))^(1/2)) + (A*atan((A^4*a^13*(a + b*tan(c + d*x))^(1/2)*9i + B^4*a^13*(a + b*tan(c + d*x))^(1/2)*1i + A^2*B^2*a^13*(a + b*tan(c + d*x))^(1/2)*10i + A^4*a^7*b^6*(a + b*tan(c + d*x))^(1/2)*16i + A^4*a^9*b^4*(a + b*tan(c + d*x))^(1/2)*48i + A^4*a^11*b^2*(a + b*tan(c + d*x))^(1/2)*72i + A^3*B*a^10*b^3*(a + b*tan(c + d*x))^(1/2)*16i - A^2*B^2*a^11*b^2*(a + b*tan(c + d*x))^(1/2)*24i - A^3*B*a^12*b*(a + b*tan(c + d*x))^(1/2)*48i)/(a^6*(a^3)^(1/2)*(a^3*(a^3*(9*A^4 + 10*A^2*B^2 + B^4) + 16*A^3*B*b^3 + 72*A^4*a*b^2 - 48*A^3*B*a^2*b - 24*A^2*B^2*a*b^2) + 16*A^4*b^6 + 48*A^4*a^2*b^4)))*2i)/(d*(a^3)^(1/2))","B"
355,1,38368,219,10.327105,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\frac{\frac{2\,\left(A\,b^3-B\,a\,b^2\right)}{a^3+a\,b^2}-\frac{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(A\,a^2\,b-2\,B\,a\,b^2+3\,A\,b^3\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)}}+\mathrm{atan}\left(-\frac{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8-7680\,A\,a^{18}\,b^{27}\,d^8-34304\,A\,a^{20}\,b^{25}\,d^8-90112\,A\,a^{22}\,b^{23}\,d^8-154112\,A\,a^{24}\,b^{21}\,d^8-179200\,A\,a^{26}\,b^{19}\,d^8-143360\,A\,a^{28}\,b^{17}\,d^8-77824\,A\,a^{30}\,b^{15}\,d^8-27392\,A\,a^{32}\,b^{13}\,d^8-5632\,A\,a^{34}\,b^{11}\,d^8-512\,A\,a^{36}\,b^9\,d^8+512\,B\,a^{17}\,b^{28}\,d^8+5248\,B\,a^{19}\,b^{26}\,d^8+23936\,B\,a^{21}\,b^{24}\,d^8+64000\,B\,a^{23}\,b^{22}\,d^8+111104\,B\,a^{25}\,b^{20}\,d^8+130816\,B\,a^{27}\,b^{18}\,d^8+105728\,B\,a^{29}\,b^{16}\,d^8+57856\,B\,a^{31}\,b^{14}\,d^8+20480\,B\,a^{33}\,b^{12}\,d^8+4224\,B\,a^{35}\,b^{10}\,d^8+384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+576\,A^3\,a^{15}\,b^{27}\,d^6+3456\,A^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{15}\,b^{27}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8+7680\,A\,a^{18}\,b^{27}\,d^8+34304\,A\,a^{20}\,b^{25}\,d^8+90112\,A\,a^{22}\,b^{23}\,d^8+154112\,A\,a^{24}\,b^{21}\,d^8+179200\,A\,a^{26}\,b^{19}\,d^8+143360\,A\,a^{28}\,b^{17}\,d^8+77824\,A\,a^{30}\,b^{15}\,d^8+27392\,A\,a^{32}\,b^{13}\,d^8+5632\,A\,a^{34}\,b^{11}\,d^8+512\,A\,a^{36}\,b^9\,d^8-512\,B\,a^{17}\,b^{28}\,d^8-5248\,B\,a^{19}\,b^{26}\,d^8-23936\,B\,a^{21}\,b^{24}\,d^8-64000\,B\,a^{23}\,b^{22}\,d^8-111104\,B\,a^{25}\,b^{20}\,d^8-130816\,B\,a^{27}\,b^{18}\,d^8-105728\,B\,a^{29}\,b^{16}\,d^8-57856\,B\,a^{31}\,b^{14}\,d^8-20480\,B\,a^{33}\,b^{12}\,d^8-4224\,B\,a^{35}\,b^{10}\,d^8-384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}}{144\,A^5\,a^{14}\,b^{25}\,d^4-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{15}\,b^{27}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8+7680\,A\,a^{18}\,b^{27}\,d^8+34304\,A\,a^{20}\,b^{25}\,d^8+90112\,A\,a^{22}\,b^{23}\,d^8+154112\,A\,a^{24}\,b^{21}\,d^8+179200\,A\,a^{26}\,b^{19}\,d^8+143360\,A\,a^{28}\,b^{17}\,d^8+77824\,A\,a^{30}\,b^{15}\,d^8+27392\,A\,a^{32}\,b^{13}\,d^8+5632\,A\,a^{34}\,b^{11}\,d^8+512\,A\,a^{36}\,b^9\,d^8-512\,B\,a^{17}\,b^{28}\,d^8-5248\,B\,a^{19}\,b^{26}\,d^8-23936\,B\,a^{21}\,b^{24}\,d^8-64000\,B\,a^{23}\,b^{22}\,d^8-111104\,B\,a^{25}\,b^{20}\,d^8-130816\,B\,a^{27}\,b^{18}\,d^8-105728\,B\,a^{29}\,b^{16}\,d^8-57856\,B\,a^{31}\,b^{14}\,d^8-20480\,B\,a^{33}\,b^{12}\,d^8-4224\,B\,a^{35}\,b^{10}\,d^8-384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8-7680\,A\,a^{18}\,b^{27}\,d^8-34304\,A\,a^{20}\,b^{25}\,d^8-90112\,A\,a^{22}\,b^{23}\,d^8-154112\,A\,a^{24}\,b^{21}\,d^8-179200\,A\,a^{26}\,b^{19}\,d^8-143360\,A\,a^{28}\,b^{17}\,d^8-77824\,A\,a^{30}\,b^{15}\,d^8-27392\,A\,a^{32}\,b^{13}\,d^8-5632\,A\,a^{34}\,b^{11}\,d^8-512\,A\,a^{36}\,b^9\,d^8+512\,B\,a^{17}\,b^{28}\,d^8+5248\,B\,a^{19}\,b^{26}\,d^8+23936\,B\,a^{21}\,b^{24}\,d^8+64000\,B\,a^{23}\,b^{22}\,d^8+111104\,B\,a^{25}\,b^{20}\,d^8+130816\,B\,a^{27}\,b^{18}\,d^8+105728\,B\,a^{29}\,b^{16}\,d^8+57856\,B\,a^{31}\,b^{14}\,d^8+20480\,B\,a^{33}\,b^{12}\,d^8+4224\,B\,a^{35}\,b^{10}\,d^8+384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+576\,A^3\,a^{15}\,b^{27}\,d^6+3456\,A^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+912\,A^5\,a^{16}\,b^{23}\,d^4+2352\,A^5\,a^{18}\,b^{21}\,d^4+3024\,A^5\,a^{20}\,b^{19}\,d^4+1680\,A^5\,a^{22}\,b^{17}\,d^4-336\,A^5\,a^{24}\,b^{15}\,d^4-1008\,A^5\,a^{26}\,b^{13}\,d^4-528\,A^5\,a^{28}\,b^{11}\,d^4-96\,A^5\,a^{30}\,b^9\,d^4+160\,A\,B^4\,a^{16}\,b^{23}\,d^4+1120\,A\,B^4\,a^{18}\,b^{21}\,d^4+3360\,A\,B^4\,a^{20}\,b^{19}\,d^4+5600\,A\,B^4\,a^{22}\,b^{17}\,d^4+5600\,A\,B^4\,a^{24}\,b^{15}\,d^4+3360\,A\,B^4\,a^{26}\,b^{13}\,d^4+1120\,A\,B^4\,a^{28}\,b^{11}\,d^4+160\,A\,B^4\,a^{30}\,b^9\,d^4-336\,A^4\,B\,a^{15}\,b^{24}\,d^4-2288\,A^4\,B\,a^{17}\,b^{22}\,d^4-6608\,A^4\,B\,a^{19}\,b^{20}\,d^4-10416\,A^4\,B\,a^{21}\,b^{18}\,d^4-9520\,A^4\,B\,a^{23}\,b^{16}\,d^4-4816\,A^4\,B\,a^{25}\,b^{14}\,d^4-1008\,A^4\,B\,a^{27}\,b^{12}\,d^4+112\,A^4\,B\,a^{29}\,b^{10}\,d^4+64\,A^4\,B\,a^{31}\,b^8\,d^4-336\,A^2\,B^3\,a^{15}\,b^{24}\,d^4-2288\,A^2\,B^3\,a^{17}\,b^{22}\,d^4-6608\,A^2\,B^3\,a^{19}\,b^{20}\,d^4-10416\,A^2\,B^3\,a^{21}\,b^{18}\,d^4-9520\,A^2\,B^3\,a^{23}\,b^{16}\,d^4-4816\,A^2\,B^3\,a^{25}\,b^{14}\,d^4-1008\,A^2\,B^3\,a^{27}\,b^{12}\,d^4+112\,A^2\,B^3\,a^{29}\,b^{10}\,d^4+64\,A^2\,B^3\,a^{31}\,b^8\,d^4+144\,A^3\,B^2\,a^{14}\,b^{25}\,d^4+1072\,A^3\,B^2\,a^{16}\,b^{23}\,d^4+3472\,A^3\,B^2\,a^{18}\,b^{21}\,d^4+6384\,A^3\,B^2\,a^{20}\,b^{19}\,d^4+7280\,A^3\,B^2\,a^{22}\,b^{17}\,d^4+5264\,A^3\,B^2\,a^{24}\,b^{15}\,d^4+2352\,A^3\,B^2\,a^{26}\,b^{13}\,d^4+592\,A^3\,B^2\,a^{28}\,b^{11}\,d^4+64\,A^3\,B^2\,a^{30}\,b^9\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(-\frac{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8-7680\,A\,a^{18}\,b^{27}\,d^8-34304\,A\,a^{20}\,b^{25}\,d^8-90112\,A\,a^{22}\,b^{23}\,d^8-154112\,A\,a^{24}\,b^{21}\,d^8-179200\,A\,a^{26}\,b^{19}\,d^8-143360\,A\,a^{28}\,b^{17}\,d^8-77824\,A\,a^{30}\,b^{15}\,d^8-27392\,A\,a^{32}\,b^{13}\,d^8-5632\,A\,a^{34}\,b^{11}\,d^8-512\,A\,a^{36}\,b^9\,d^8+512\,B\,a^{17}\,b^{28}\,d^8+5248\,B\,a^{19}\,b^{26}\,d^8+23936\,B\,a^{21}\,b^{24}\,d^8+64000\,B\,a^{23}\,b^{22}\,d^8+111104\,B\,a^{25}\,b^{20}\,d^8+130816\,B\,a^{27}\,b^{18}\,d^8+105728\,B\,a^{29}\,b^{16}\,d^8+57856\,B\,a^{31}\,b^{14}\,d^8+20480\,B\,a^{33}\,b^{12}\,d^8+4224\,B\,a^{35}\,b^{10}\,d^8+384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+576\,A^3\,a^{15}\,b^{27}\,d^6+3456\,A^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{15}\,b^{27}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8+7680\,A\,a^{18}\,b^{27}\,d^8+34304\,A\,a^{20}\,b^{25}\,d^8+90112\,A\,a^{22}\,b^{23}\,d^8+154112\,A\,a^{24}\,b^{21}\,d^8+179200\,A\,a^{26}\,b^{19}\,d^8+143360\,A\,a^{28}\,b^{17}\,d^8+77824\,A\,a^{30}\,b^{15}\,d^8+27392\,A\,a^{32}\,b^{13}\,d^8+5632\,A\,a^{34}\,b^{11}\,d^8+512\,A\,a^{36}\,b^9\,d^8-512\,B\,a^{17}\,b^{28}\,d^8-5248\,B\,a^{19}\,b^{26}\,d^8-23936\,B\,a^{21}\,b^{24}\,d^8-64000\,B\,a^{23}\,b^{22}\,d^8-111104\,B\,a^{25}\,b^{20}\,d^8-130816\,B\,a^{27}\,b^{18}\,d^8-105728\,B\,a^{29}\,b^{16}\,d^8-57856\,B\,a^{31}\,b^{14}\,d^8-20480\,B\,a^{33}\,b^{12}\,d^8-4224\,B\,a^{35}\,b^{10}\,d^8-384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}}{144\,A^5\,a^{14}\,b^{25}\,d^4-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{15}\,b^{27}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8+7680\,A\,a^{18}\,b^{27}\,d^8+34304\,A\,a^{20}\,b^{25}\,d^8+90112\,A\,a^{22}\,b^{23}\,d^8+154112\,A\,a^{24}\,b^{21}\,d^8+179200\,A\,a^{26}\,b^{19}\,d^8+143360\,A\,a^{28}\,b^{17}\,d^8+77824\,A\,a^{30}\,b^{15}\,d^8+27392\,A\,a^{32}\,b^{13}\,d^8+5632\,A\,a^{34}\,b^{11}\,d^8+512\,A\,a^{36}\,b^9\,d^8-512\,B\,a^{17}\,b^{28}\,d^8-5248\,B\,a^{19}\,b^{26}\,d^8-23936\,B\,a^{21}\,b^{24}\,d^8-64000\,B\,a^{23}\,b^{22}\,d^8-111104\,B\,a^{25}\,b^{20}\,d^8-130816\,B\,a^{27}\,b^{18}\,d^8-105728\,B\,a^{29}\,b^{16}\,d^8-57856\,B\,a^{31}\,b^{14}\,d^8-20480\,B\,a^{33}\,b^{12}\,d^8-4224\,B\,a^{35}\,b^{10}\,d^8-384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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\,a^{16}\,b^{29}\,d^8-7680\,A\,a^{18}\,b^{27}\,d^8-34304\,A\,a^{20}\,b^{25}\,d^8-90112\,A\,a^{22}\,b^{23}\,d^8-154112\,A\,a^{24}\,b^{21}\,d^8-179200\,A\,a^{26}\,b^{19}\,d^8-143360\,A\,a^{28}\,b^{17}\,d^8-77824\,A\,a^{30}\,b^{15}\,d^8-27392\,A\,a^{32}\,b^{13}\,d^8-5632\,A\,a^{34}\,b^{11}\,d^8-512\,A\,a^{36}\,b^9\,d^8+512\,B\,a^{17}\,b^{28}\,d^8+5248\,B\,a^{19}\,b^{26}\,d^8+23936\,B\,a^{21}\,b^{24}\,d^8+64000\,B\,a^{23}\,b^{22}\,d^8+111104\,B\,a^{25}\,b^{20}\,d^8+130816\,B\,a^{27}\,b^{18}\,d^8+105728\,B\,a^{29}\,b^{16}\,d^8+57856\,B\,a^{31}\,b^{14}\,d^8+20480\,B\,a^{33}\,b^{12}\,d^8+4224\,B\,a^{35}\,b^{10}\,d^8+384\,B\,a^{37}\,b^8\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+576\,A^3\,a^{15}\,b^{27}\,d^6+3456\,A^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+912\,A^5\,a^{16}\,b^{23}\,d^4+2352\,A^5\,a^{18}\,b^{21}\,d^4+3024\,A^5\,a^{20}\,b^{19}\,d^4+1680\,A^5\,a^{22}\,b^{17}\,d^4-336\,A^5\,a^{24}\,b^{15}\,d^4-1008\,A^5\,a^{26}\,b^{13}\,d^4-528\,A^5\,a^{28}\,b^{11}\,d^4-96\,A^5\,a^{30}\,b^9\,d^4+160\,A\,B^4\,a^{16}\,b^{23}\,d^4+1120\,A\,B^4\,a^{18}\,b^{21}\,d^4+3360\,A\,B^4\,a^{20}\,b^{19}\,d^4+5600\,A\,B^4\,a^{22}\,b^{17}\,d^4+5600\,A\,B^4\,a^{24}\,b^{15}\,d^4+3360\,A\,B^4\,a^{26}\,b^{13}\,d^4+1120\,A\,B^4\,a^{28}\,b^{11}\,d^4+160\,A\,B^4\,a^{30}\,b^9\,d^4-336\,A^4\,B\,a^{15}\,b^{24}\,d^4-2288\,A^4\,B\,a^{17}\,b^{22}\,d^4-6608\,A^4\,B\,a^{19}\,b^{20}\,d^4-10416\,A^4\,B\,a^{21}\,b^{18}\,d^4-9520\,A^4\,B\,a^{23}\,b^{16}\,d^4-4816\,A^4\,B\,a^{25}\,b^{14}\,d^4-1008\,A^4\,B\,a^{27}\,b^{12}\,d^4+112\,A^4\,B\,a^{29}\,b^{10}\,d^4+64\,A^4\,B\,a^{31}\,b^8\,d^4-336\,A^2\,B^3\,a^{15}\,b^{24}\,d^4-2288\,A^2\,B^3\,a^{17}\,b^{22}\,d^4-6608\,A^2\,B^3\,a^{19}\,b^{20}\,d^4-10416\,A^2\,B^3\,a^{21}\,b^{18}\,d^4-9520\,A^2\,B^3\,a^{23}\,b^{16}\,d^4-4816\,A^2\,B^3\,a^{25}\,b^{14}\,d^4-1008\,A^2\,B^3\,a^{27}\,b^{12}\,d^4+112\,A^2\,B^3\,a^{29}\,b^{10}\,d^4+64\,A^2\,B^3\,a^{31}\,b^8\,d^4+144\,A^3\,B^2\,a^{14}\,b^{25}\,d^4+1072\,A^3\,B^2\,a^{16}\,b^{23}\,d^4+3472\,A^3\,B^2\,a^{18}\,b^{21}\,d^4+6384\,A^3\,B^2\,a^{20}\,b^{19}\,d^4+7280\,A^3\,B^2\,a^{22}\,b^{17}\,d^4+5264\,A^3\,B^2\,a^{24}\,b^{15}\,d^4+2352\,A^3\,B^2\,a^{26}\,b^{13}\,d^4+592\,A^3\,B^2\,a^{28}\,b^{11}\,d^4+64\,A^3\,B^2\,a^{30}\,b^9\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)-\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(576\,A^3\,a^{15}\,b^{27}\,d^6+3456\,A^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6+\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15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6}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6+\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(512\,B\,a^{17}\,b^{28}\,d^8-7680\,A\,a^{18}\,b^{27}\,d^8-34304\,A\,a^{20}\,b^{25}\,d^8-90112\,A\,a^{22}\,b^{23}\,d^8-154112\,A\,a^{24}\,b^{21}\,d^8-179200\,A\,a^{26}\,b^{19}\,d^8-143360\,A\,a^{28}\,b^{17}\,d^8-77824\,A\,a^{30}\,b^{15}\,d^8-27392\,A\,a^{32}\,b^{13}\,d^8-5632\,A\,a^{34}\,b^{11}\,d^8-512\,A\,a^{36}\,b^9\,d^8-768\,A\,a^{16}\,b^{29}\,d^8+5248\,B\,a^{19}\,b^{26}\,d^8+23936\,B\,a^{21}\,b^{24}\,d^8+64000\,B\,a^{23}\,b^{22}\,d^8+111104\,B\,a^{25}\,b^{20}\,d^8+130816\,B\,a^{27}\,b^{18}\,d^8+105728\,B\,a^{29}\,b^{16}\,d^8+57856\,B\,a^{31}\,b^{14}\,d^8+20480\,B\,a^{33}\,b^{12}\,d^8+4224\,B\,a^{35}\,b^{10}\,d^8+384\,B\,a^{37}\,b^8\,d^8+\frac{\left(3\,A\,b-2\,B\,a\right)\,\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)}{2\,d\,\sqrt{a^5}}\right)}{2\,d\,\sqrt{a^5}}\right)}{2\,d\,\sqrt{a^5}}-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)}{2\,d\,\sqrt{a^5}}\right)}{2\,d\,\sqrt{a^5}}-\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^8\,d^5+80\,A^4\,a^{30}\,b^{10}\,d^5-192\,A^4\,a^{28}\,b^{12}\,d^5-896\,A^4\,a^{26}\,b^{14}\,d^5-896\,A^4\,a^{24}\,b^{16}\,d^5+672\,A^4\,a^{22}\,b^{18}\,d^5+2240\,A^4\,a^{20}\,b^{20}\,d^5+2048\,A^4\,a^{18}\,b^{22}\,d^5+864\,A^4\,a^{16}\,b^{24}\,d^5+144\,A^4\,a^{14}\,b^{26}\,d^5+192\,A^3\,B\,a^{31}\,b^9\,d^5+576\,A^3\,B\,a^{29}\,b^{11}\,d^5-1344\,A^3\,B\,a^{27}\,b^{13}\,d^5-9408\,A^3\,B\,a^{25}\,b^{15}\,d^5-20160\,A^3\,B\,a^{23}\,b^{17}\,d^5-22848\,A^3\,B\,a^{21}\,b^{19}\,d^5-14784\,A^3\,B\,a^{19}\,b^{21}\,d^5-5184\,A^3\,B\,a^{17}\,b^{23}\,d^5-768\,A^3\,B\,a^{15}\,b^{25}\,d^5+976\,A^2\,B^2\,a^{30}\,b^{10}\,d^5+6688\,A^2\,B^2\,a^{28}\,b^{12}\,d^5+19488\,A^2\,B^2\,a^{26}\,b^{14}\,d^5+31136\,A^2\,B^2\,a^{24}\,b^{16}\,d^5+29120\,A^2\,B^2\,a^{22}\,b^{18}\,d^5+15456\,A^2\,B^2\,a^{20}\,b^{20}\,d^5+3808\,A^2\,B^2\,a^{18}\,b^{22}\,d^5-32\,A^2\,B^2\,a^{16}\,b^{24}\,d^5-144\,A^2\,B^2\,a^{14}\,b^{26}\,d^5-448\,A\,B^3\,a^{31}\,b^9\,d^5-2944\,A\,B^3\,a^{29}\,b^{11}\,d^5-8064\,A\,B^3\,a^{27}\,b^{13}\,d^5-11648\,A\,B^3\,a^{25}\,b^{15}\,d^5-8960\,A\,B^3\,a^{23}\,b^{17}\,d^5-2688\,A\,B^3\,a^{21}\,b^{19}\,d^5+896\,A\,B^3\,a^{19}\,b^{21}\,d^5+896\,A\,B^3\,a^{17}\,b^{23}\,d^5+192\,A\,B^3\,a^{15}\,b^{25}\,d^5+96\,B^4\,a^{32}\,b^8\,d^5+608\,B^4\,a^{30}\,b^{10}\,d^5+1568\,B^4\,a^{28}\,b^{12}\,d^5+2016\,B^4\,a^{26}\,b^{14}\,d^5+1120\,B^4\,a^{24}\,b^{16}\,d^5-224\,B^4\,a^{22}\,b^{18}\,d^5-672\,B^4\,a^{20}\,b^{20}\,d^5-352\,B^4\,a^{18}\,b^{22}\,d^5-64\,B^4\,a^{16}\,b^{24}\,d^5\right)+\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(576\,A^3\,a^{15}\,b^{27}\,d^6+3456\,A^3\,a^{17}\,b^{25}\,d^6+8480\,A^3\,a^{19}\,b^{23}\,d^6+10976\,A^3\,a^{21}\,b^{21}\,d^6+8736\,A^3\,a^{23}\,b^{19}\,d^6+6496\,A^3\,a^{25}\,b^{17}\,d^6+6496\,A^3\,a^{27}\,b^{15}\,d^6+5280\,A^3\,a^{29}\,b^{13}\,d^6+2336\,A^3\,a^{31}\,b^{11}\,d^6+416\,A^3\,a^{33}\,b^9\,d^6+128\,B^3\,a^{16}\,b^{26}\,d^6+128\,B^3\,a^{18}\,b^{24}\,d^6-2592\,B^3\,a^{20}\,b^{22}\,d^6-10976\,B^3\,a^{22}\,b^{20}\,d^6-20384\,B^3\,a^{24}\,b^{18}\,d^6-20832\,B^3\,a^{26}\,b^{16}\,d^6-11872\,B^3\,a^{28}\,b^{14}\,d^6-3232\,B^3\,a^{30}\,b^{12}\,d^6-96\,B^3\,a^{32}\,b^{10}\,d^6+96\,B^3\,a^{34}\,b^8\,d^6-\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{35}\,b^8\,d^7-832\,A^2\,a^{33}\,b^{10}\,d^7+4288\,A^2\,a^{31}\,b^{12}\,d^7+27008\,A^2\,a^{29}\,b^{14}\,d^7+66304\,A^2\,a^{27}\,b^{16}\,d^7+94976\,A^2\,a^{25}\,b^{18}\,d^7+87808\,A^2\,a^{23}\,b^{20}\,d^7+53888\,A^2\,a^{21}\,b^{22}\,d^7+21568\,A^2\,a^{19}\,b^{24}\,d^7+5184\,A^2\,a^{17}\,b^{26}\,d^7+576\,A^2\,a^{15}\,b^{28}\,d^7-2560\,A\,B\,a^{34}\,b^9\,d^7-18944\,A\,B\,a^{32}\,b^{11}\,d^7-61696\,A\,B\,a^{30}\,b^{13}\,d^7-116480\,A\,B\,a^{28}\,b^{15}\,d^7-141568\,A\,B\,a^{26}\,b^{17}\,d^7-116480\,A\,B\,a^{24}\,b^{19}\,d^7-66304\,A\,B\,a^{22}\,b^{21}\,d^7-25856\,A\,B\,a^{20}\,b^{23}\,d^7-6400\,A\,B\,a^{18}\,b^{25}\,d^7-768\,A\,B\,a^{16}\,b^{27}\,d^7+576\,B^2\,a^{35}\,b^8\,d^7+3712\,B^2\,a^{33}\,b^{10}\,d^7+10112\,B^2\,a^{31}\,b^{12}\,d^7+15232\,B^2\,a^{29}\,b^{14}\,d^7+14336\,B^2\,a^{27}\,b^{16}\,d^7+9856\,B^2\,a^{25}\,b^{18}\,d^7+6272\,B^2\,a^{23}\,b^{20}\,d^7+3712\,B^2\,a^{21}\,b^{22}\,d^7+1472\,B^2\,a^{19}\,b^{24}\,d^7+256\,B^2\,a^{17}\,b^{26}\,d^7\right)-\frac{\left(3\,A\,b-2\,B\,a\right)\,\left(768\,A\,a^{16}\,b^{29}\,d^8+7680\,A\,a^{18}\,b^{27}\,d^8+34304\,A\,a^{20}\,b^{25}\,d^8+90112\,A\,a^{22}\,b^{23}\,d^8+154112\,A\,a^{24}\,b^{21}\,d^8+179200\,A\,a^{26}\,b^{19}\,d^8+143360\,A\,a^{28}\,b^{17}\,d^8+77824\,A\,a^{30}\,b^{15}\,d^8+27392\,A\,a^{32}\,b^{13}\,d^8+5632\,A\,a^{34}\,b^{11}\,d^8+512\,A\,a^{36}\,b^9\,d^8-512\,B\,a^{17}\,b^{28}\,d^8-5248\,B\,a^{19}\,b^{26}\,d^8-23936\,B\,a^{21}\,b^{24}\,d^8-64000\,B\,a^{23}\,b^{22}\,d^8-111104\,B\,a^{25}\,b^{20}\,d^8-130816\,B\,a^{27}\,b^{18}\,d^8-105728\,B\,a^{29}\,b^{16}\,d^8-57856\,B\,a^{31}\,b^{14}\,d^8-20480\,B\,a^{33}\,b^{12}\,d^8-4224\,B\,a^{35}\,b^{10}\,d^8-384\,B\,a^{37}\,b^8\,d^8+\frac{\left(3\,A\,b-2\,B\,a\right)\,\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)}{2\,d\,\sqrt{a^5}}\right)}{2\,d\,\sqrt{a^5}}\right)}{2\,d\,\sqrt{a^5}}-384\,A\,B^2\,a^{15}\,b^{27}\,d^6-768\,A\,B^2\,a^{17}\,b^{25}\,d^6+4128\,A\,B^2\,a^{19}\,b^{23}\,d^6+18144\,A\,B^2\,a^{21}\,b^{21}\,d^6+27552\,A\,B^2\,a^{23}\,b^{19}\,d^6+15456\,A\,B^2\,a^{25}\,b^{17}\,d^6-6048\,A\,B^2\,a^{27}\,b^{15}\,d^6-13152\,A\,B^2\,a^{29}\,b^{13}\,d^6-6816\,A\,B^2\,a^{31}\,b^{11}\,d^6-1248\,A\,B^2\,a^{33}\,b^9\,d^6+288\,A^2\,B\,a^{14}\,b^{28}\,d^6+480\,A^2\,B\,a^{16}\,b^{26}\,d^6-2688\,A^2\,B\,a^{18}\,b^{24}\,d^6-8352\,A^2\,B\,a^{20}\,b^{22}\,d^6-3360\,A^2\,B\,a^{22}\,b^{20}\,d^6+16800\,A^2\,B\,a^{24}\,b^{18}\,d^6+30240\,A^2\,B\,a^{26}\,b^{16}\,d^6+21792\,A^2\,B\,a^{28}\,b^{14}\,d^6+6528\,A^2\,B\,a^{30}\,b^{12}\,d^6-288\,A^2\,B\,a^{34}\,b^8\,d^6\right)}{2\,d\,\sqrt{a^5}}\right)}{2\,d\,\sqrt{a^5}}+160\,A\,B^4\,a^{16}\,b^{23}\,d^4+1120\,A\,B^4\,a^{18}\,b^{21}\,d^4+3360\,A\,B^4\,a^{20}\,b^{19}\,d^4+5600\,A\,B^4\,a^{22}\,b^{17}\,d^4+5600\,A\,B^4\,a^{24}\,b^{15}\,d^4+3360\,A\,B^4\,a^{26}\,b^{13}\,d^4+1120\,A\,B^4\,a^{28}\,b^{11}\,d^4+160\,A\,B^4\,a^{30}\,b^9\,d^4-336\,A^4\,B\,a^{15}\,b^{24}\,d^4-2288\,A^4\,B\,a^{17}\,b^{22}\,d^4-6608\,A^4\,B\,a^{19}\,b^{20}\,d^4-10416\,A^4\,B\,a^{21}\,b^{18}\,d^4-9520\,A^4\,B\,a^{23}\,b^{16}\,d^4-4816\,A^4\,B\,a^{25}\,b^{14}\,d^4-1008\,A^4\,B\,a^{27}\,b^{12}\,d^4+112\,A^4\,B\,a^{29}\,b^{10}\,d^4+64\,A^4\,B\,a^{31}\,b^8\,d^4-336\,A^2\,B^3\,a^{15}\,b^{24}\,d^4-2288\,A^2\,B^3\,a^{17}\,b^{22}\,d^4-6608\,A^2\,B^3\,a^{19}\,b^{20}\,d^4-10416\,A^2\,B^3\,a^{21}\,b^{18}\,d^4-9520\,A^2\,B^3\,a^{23}\,b^{16}\,d^4-4816\,A^2\,B^3\,a^{25}\,b^{14}\,d^4-1008\,A^2\,B^3\,a^{27}\,b^{12}\,d^4+112\,A^2\,B^3\,a^{29}\,b^{10}\,d^4+64\,A^2\,B^3\,a^{31}\,b^8\,d^4+144\,A^3\,B^2\,a^{14}\,b^{25}\,d^4+1072\,A^3\,B^2\,a^{16}\,b^{23}\,d^4+3472\,A^3\,B^2\,a^{18}\,b^{21}\,d^4+6384\,A^3\,B^2\,a^{20}\,b^{19}\,d^4+7280\,A^3\,B^2\,a^{22}\,b^{17}\,d^4+5264\,A^3\,B^2\,a^{24}\,b^{15}\,d^4+2352\,A^3\,B^2\,a^{26}\,b^{13}\,d^4+592\,A^3\,B^2\,a^{28}\,b^{11}\,d^4+64\,A^3\,B^2\,a^{30}\,b^9\,d^4}\right)\,\left(3\,A\,b-2\,B\,a\right)\,1{}\mathrm{i}}{d\,\sqrt{a^5}}","Not used",1,"((2*(A*b^3 - B*a*b^2))/(a*b^2 + a^3) - ((a + b*tan(c + d*x))*(3*A*b^3 + A*a^2*b - 2*B*a*b^2))/(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)) + atan(-((((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 - 7680*A*a^18*b^27*d^8 - 34304*A*a^20*b^25*d^8 - 90112*A*a^22*b^23*d^8 - 154112*A*a^24*b^21*d^8 - 179200*A*a^26*b^19*d^8 - 143360*A*a^28*b^17*d^8 - 77824*A*a^30*b^15*d^8 - 27392*A*a^32*b^13*d^8 - 5632*A*a^34*b^11*d^8 - 512*A*a^36*b^9*d^8 + 512*B*a^17*b^28*d^8 + 5248*B*a^19*b^26*d^8 + 23936*B*a^21*b^24*d^8 + 64000*B*a^23*b^22*d^8 + 111104*B*a^25*b^20*d^8 + 130816*B*a^27*b^18*d^8 + 105728*B*a^29*b^16*d^8 + 57856*B*a^31*b^14*d^8 + 20480*B*a^33*b^12*d^8 + 4224*B*a^35*b^10*d^8 + 384*B*a^37*b^8*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i - (((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 + 7680*A*a^18*b^27*d^8 + 34304*A*a^20*b^25*d^8 + 90112*A*a^22*b^23*d^8 + 154112*A*a^24*b^21*d^8 + 179200*A*a^26*b^19*d^8 + 143360*A*a^28*b^17*d^8 + 77824*A*a^30*b^15*d^8 + 27392*A*a^32*b^13*d^8 + 5632*A*a^34*b^11*d^8 + 512*A*a^36*b^9*d^8 - 512*B*a^17*b^28*d^8 - 5248*B*a^19*b^26*d^8 - 23936*B*a^21*b^24*d^8 - 64000*B*a^23*b^22*d^8 - 111104*B*a^25*b^20*d^8 - 130816*B*a^27*b^18*d^8 - 105728*B*a^29*b^16*d^8 - 57856*B*a^31*b^14*d^8 - 20480*B*a^33*b^12*d^8 - 4224*B*a^35*b^10*d^8 - 384*B*a^37*b^8*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i)/(144*A^5*a^14*b^25*d^4 - (((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 + 7680*A*a^18*b^27*d^8 + 34304*A*a^20*b^25*d^8 + 90112*A*a^22*b^23*d^8 + 154112*A*a^24*b^21*d^8 + 179200*A*a^26*b^19*d^8 + 143360*A*a^28*b^17*d^8 + 77824*A*a^30*b^15*d^8 + 27392*A*a^32*b^13*d^8 + 5632*A*a^34*b^11*d^8 + 512*A*a^36*b^9*d^8 - 512*B*a^17*b^28*d^8 - 5248*B*a^19*b^26*d^8 - 23936*B*a^21*b^24*d^8 - 64000*B*a^23*b^22*d^8 - 111104*B*a^25*b^20*d^8 - 130816*B*a^27*b^18*d^8 - 105728*B*a^29*b^16*d^8 - 57856*B*a^31*b^14*d^8 - 20480*B*a^33*b^12*d^8 - 4224*B*a^35*b^10*d^8 - 384*B*a^37*b^8*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 - 7680*A*a^18*b^27*d^8 - 34304*A*a^20*b^25*d^8 - 90112*A*a^22*b^23*d^8 - 154112*A*a^24*b^21*d^8 - 179200*A*a^26*b^19*d^8 - 143360*A*a^28*b^17*d^8 - 77824*A*a^30*b^15*d^8 - 27392*A*a^32*b^13*d^8 - 5632*A*a^34*b^11*d^8 - 512*A*a^36*b^9*d^8 + 512*B*a^17*b^28*d^8 + 5248*B*a^19*b^26*d^8 + 23936*B*a^21*b^24*d^8 + 64000*B*a^23*b^22*d^8 + 111104*B*a^25*b^20*d^8 + 130816*B*a^27*b^18*d^8 + 105728*B*a^29*b^16*d^8 + 57856*B*a^31*b^14*d^8 + 20480*B*a^33*b^12*d^8 + 4224*B*a^35*b^10*d^8 + 384*B*a^37*b^8*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 912*A^5*a^16*b^23*d^4 + 2352*A^5*a^18*b^21*d^4 + 3024*A^5*a^20*b^19*d^4 + 1680*A^5*a^22*b^17*d^4 - 336*A^5*a^24*b^15*d^4 - 1008*A^5*a^26*b^13*d^4 - 528*A^5*a^28*b^11*d^4 - 96*A^5*a^30*b^9*d^4 + 160*A*B^4*a^16*b^23*d^4 + 1120*A*B^4*a^18*b^21*d^4 + 3360*A*B^4*a^20*b^19*d^4 + 5600*A*B^4*a^22*b^17*d^4 + 5600*A*B^4*a^24*b^15*d^4 + 3360*A*B^4*a^26*b^13*d^4 + 1120*A*B^4*a^28*b^11*d^4 + 160*A*B^4*a^30*b^9*d^4 - 336*A^4*B*a^15*b^24*d^4 - 2288*A^4*B*a^17*b^22*d^4 - 6608*A^4*B*a^19*b^20*d^4 - 10416*A^4*B*a^21*b^18*d^4 - 9520*A^4*B*a^23*b^16*d^4 - 4816*A^4*B*a^25*b^14*d^4 - 1008*A^4*B*a^27*b^12*d^4 + 112*A^4*B*a^29*b^10*d^4 + 64*A^4*B*a^31*b^8*d^4 - 336*A^2*B^3*a^15*b^24*d^4 - 2288*A^2*B^3*a^17*b^22*d^4 - 6608*A^2*B^3*a^19*b^20*d^4 - 10416*A^2*B^3*a^21*b^18*d^4 - 9520*A^2*B^3*a^23*b^16*d^4 - 4816*A^2*B^3*a^25*b^14*d^4 - 1008*A^2*B^3*a^27*b^12*d^4 + 112*A^2*B^3*a^29*b^10*d^4 + 64*A^2*B^3*a^31*b^8*d^4 + 144*A^3*B^2*a^14*b^25*d^4 + 1072*A^3*B^2*a^16*b^23*d^4 + 3472*A^3*B^2*a^18*b^21*d^4 + 6384*A^3*B^2*a^20*b^19*d^4 + 7280*A^3*B^2*a^22*b^17*d^4 + 5264*A^3*B^2*a^24*b^15*d^4 + 2352*A^3*B^2*a^26*b^13*d^4 + 592*A^3*B^2*a^28*b^11*d^4 + 64*A^3*B^2*a^30*b^9*d^4))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*2i + atan(-(((-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 - 7680*A*a^18*b^27*d^8 - 34304*A*a^20*b^25*d^8 - 90112*A*a^22*b^23*d^8 - 154112*A*a^24*b^21*d^8 - 179200*A*a^26*b^19*d^8 - 143360*A*a^28*b^17*d^8 - 77824*A*a^30*b^15*d^8 - 27392*A*a^32*b^13*d^8 - 5632*A*a^34*b^11*d^8 - 512*A*a^36*b^9*d^8 + 512*B*a^17*b^28*d^8 + 5248*B*a^19*b^26*d^8 + 23936*B*a^21*b^24*d^8 + 64000*B*a^23*b^22*d^8 + 111104*B*a^25*b^20*d^8 + 130816*B*a^27*b^18*d^8 + 105728*B*a^29*b^16*d^8 + 57856*B*a^31*b^14*d^8 + 20480*B*a^33*b^12*d^8 + 4224*B*a^35*b^10*d^8 + 384*B*a^37*b^8*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i - ((-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 + 7680*A*a^18*b^27*d^8 + 34304*A*a^20*b^25*d^8 + 90112*A*a^22*b^23*d^8 + 154112*A*a^24*b^21*d^8 + 179200*A*a^26*b^19*d^8 + 143360*A*a^28*b^17*d^8 + 77824*A*a^30*b^15*d^8 + 27392*A*a^32*b^13*d^8 + 5632*A*a^34*b^11*d^8 + 512*A*a^36*b^9*d^8 - 512*B*a^17*b^28*d^8 - 5248*B*a^19*b^26*d^8 - 23936*B*a^21*b^24*d^8 - 64000*B*a^23*b^22*d^8 - 111104*B*a^25*b^20*d^8 - 130816*B*a^27*b^18*d^8 - 105728*B*a^29*b^16*d^8 - 57856*B*a^31*b^14*d^8 - 20480*B*a^33*b^12*d^8 - 4224*B*a^35*b^10*d^8 - 384*B*a^37*b^8*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i)/(144*A^5*a^14*b^25*d^4 - ((-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 - ((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 + 7680*A*a^18*b^27*d^8 + 34304*A*a^20*b^25*d^8 + 90112*A*a^22*b^23*d^8 + 154112*A*a^24*b^21*d^8 + 179200*A*a^26*b^19*d^8 + 143360*A*a^28*b^17*d^8 + 77824*A*a^30*b^15*d^8 + 27392*A*a^32*b^13*d^8 + 5632*A*a^34*b^11*d^8 + 512*A*a^36*b^9*d^8 - 512*B*a^17*b^28*d^8 - 5248*B*a^19*b^26*d^8 - 23936*B*a^21*b^24*d^8 - 64000*B*a^23*b^22*d^8 - 111104*B*a^25*b^20*d^8 - 130816*B*a^27*b^18*d^8 - 105728*B*a^29*b^16*d^8 - 57856*B*a^31*b^14*d^8 - 20480*B*a^33*b^12*d^8 - 4224*B*a^35*b^10*d^8 - 384*B*a^37*b^8*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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*a^16*b^29*d^8 - 7680*A*a^18*b^27*d^8 - 34304*A*a^20*b^25*d^8 - 90112*A*a^22*b^23*d^8 - 154112*A*a^24*b^21*d^8 - 179200*A*a^26*b^19*d^8 - 143360*A*a^28*b^17*d^8 - 77824*A*a^30*b^15*d^8 - 27392*A*a^32*b^13*d^8 - 5632*A*a^34*b^11*d^8 - 512*A*a^36*b^9*d^8 + 512*B*a^17*b^28*d^8 + 5248*B*a^19*b^26*d^8 + 23936*B*a^21*b^24*d^8 + 64000*B*a^23*b^22*d^8 + 111104*B*a^25*b^20*d^8 + 130816*B*a^27*b^18*d^8 + 105728*B*a^29*b^16*d^8 + 57856*B*a^31*b^14*d^8 + 20480*B*a^33*b^12*d^8 + 4224*B*a^35*b^10*d^8 + 384*B*a^37*b^8*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 912*A^5*a^16*b^23*d^4 + 2352*A^5*a^18*b^21*d^4 + 3024*A^5*a^20*b^19*d^4 + 1680*A^5*a^22*b^17*d^4 - 336*A^5*a^24*b^15*d^4 - 1008*A^5*a^26*b^13*d^4 - 528*A^5*a^28*b^11*d^4 - 96*A^5*a^30*b^9*d^4 + 160*A*B^4*a^16*b^23*d^4 + 1120*A*B^4*a^18*b^21*d^4 + 3360*A*B^4*a^20*b^19*d^4 + 5600*A*B^4*a^22*b^17*d^4 + 5600*A*B^4*a^24*b^15*d^4 + 3360*A*B^4*a^26*b^13*d^4 + 1120*A*B^4*a^28*b^11*d^4 + 160*A*B^4*a^30*b^9*d^4 - 336*A^4*B*a^15*b^24*d^4 - 2288*A^4*B*a^17*b^22*d^4 - 6608*A^4*B*a^19*b^20*d^4 - 10416*A^4*B*a^21*b^18*d^4 - 9520*A^4*B*a^23*b^16*d^4 - 4816*A^4*B*a^25*b^14*d^4 - 1008*A^4*B*a^27*b^12*d^4 + 112*A^4*B*a^29*b^10*d^4 + 64*A^4*B*a^31*b^8*d^4 - 336*A^2*B^3*a^15*b^24*d^4 - 2288*A^2*B^3*a^17*b^22*d^4 - 6608*A^2*B^3*a^19*b^20*d^4 - 10416*A^2*B^3*a^21*b^18*d^4 - 9520*A^2*B^3*a^23*b^16*d^4 - 4816*A^2*B^3*a^25*b^14*d^4 - 1008*A^2*B^3*a^27*b^12*d^4 + 112*A^2*B^3*a^29*b^10*d^4 + 64*A^2*B^3*a^31*b^8*d^4 + 144*A^3*B^2*a^14*b^25*d^4 + 1072*A^3*B^2*a^16*b^23*d^4 + 3472*A^3*B^2*a^18*b^21*d^4 + 6384*A^3*B^2*a^20*b^19*d^4 + 7280*A^3*B^2*a^22*b^17*d^4 + 5264*A^3*B^2*a^24*b^15*d^4 + 2352*A^3*B^2*a^26*b^13*d^4 + 592*A^3*B^2*a^28*b^11*d^4 + 64*A^3*B^2*a^30*b^9*d^4))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*2i + (atan((((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5) - ((3*A*b - 2*B*a)*(576*A^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 + ((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((3*A*b - 2*B*a)*(512*B*a^17*b^28*d^8 - 7680*A*a^18*b^27*d^8 - 34304*A*a^20*b^25*d^8 - 90112*A*a^22*b^23*d^8 - 154112*A*a^24*b^21*d^8 - 179200*A*a^26*b^19*d^8 - 143360*A*a^28*b^17*d^8 - 77824*A*a^30*b^15*d^8 - 27392*A*a^32*b^13*d^8 - 5632*A*a^34*b^11*d^8 - 512*A*a^36*b^9*d^8 - 768*A*a^16*b^29*d^8 + 5248*B*a^19*b^26*d^8 + 23936*B*a^21*b^24*d^8 + 64000*B*a^23*b^22*d^8 + 111104*B*a^25*b^20*d^8 + 130816*B*a^27*b^18*d^8 + 105728*B*a^29*b^16*d^8 + 57856*B*a^31*b^14*d^8 + 20480*B*a^33*b^12*d^8 + 4224*B*a^35*b^10*d^8 + 384*B*a^37*b^8*d^8 + ((3*A*b - 2*B*a)*(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))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2)) - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6))/(2*d*(a^5)^(1/2)))*1i)/(2*d*(a^5)^(1/2)) + ((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5) + ((3*A*b - 2*B*a)*(576*A^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - ((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((3*A*b - 2*B*a)*(768*A*a^16*b^29*d^8 + 7680*A*a^18*b^27*d^8 + 34304*A*a^20*b^25*d^8 + 90112*A*a^22*b^23*d^8 + 154112*A*a^24*b^21*d^8 + 179200*A*a^26*b^19*d^8 + 143360*A*a^28*b^17*d^8 + 77824*A*a^30*b^15*d^8 + 27392*A*a^32*b^13*d^8 + 5632*A*a^34*b^11*d^8 + 512*A*a^36*b^9*d^8 - 512*B*a^17*b^28*d^8 - 5248*B*a^19*b^26*d^8 - 23936*B*a^21*b^24*d^8 - 64000*B*a^23*b^22*d^8 - 111104*B*a^25*b^20*d^8 - 130816*B*a^27*b^18*d^8 - 105728*B*a^29*b^16*d^8 - 57856*B*a^31*b^14*d^8 - 20480*B*a^33*b^12*d^8 - 4224*B*a^35*b^10*d^8 - 384*B*a^37*b^8*d^8 + ((3*A*b - 2*B*a)*(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))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2)) - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6))/(2*d*(a^5)^(1/2)))*1i)/(2*d*(a^5)^(1/2)))/(144*A^5*a^14*b^25*d^4 + 912*A^5*a^16*b^23*d^4 + 2352*A^5*a^18*b^21*d^4 + 3024*A^5*a^20*b^19*d^4 + 1680*A^5*a^22*b^17*d^4 - 336*A^5*a^24*b^15*d^4 - 1008*A^5*a^26*b^13*d^4 - 528*A^5*a^28*b^11*d^4 - 96*A^5*a^30*b^9*d^4 + ((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5) - ((3*A*b - 2*B*a)*(576*A^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 + ((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((3*A*b - 2*B*a)*(512*B*a^17*b^28*d^8 - 7680*A*a^18*b^27*d^8 - 34304*A*a^20*b^25*d^8 - 90112*A*a^22*b^23*d^8 - 154112*A*a^24*b^21*d^8 - 179200*A*a^26*b^19*d^8 - 143360*A*a^28*b^17*d^8 - 77824*A*a^30*b^15*d^8 - 27392*A*a^32*b^13*d^8 - 5632*A*a^34*b^11*d^8 - 512*A*a^36*b^9*d^8 - 768*A*a^16*b^29*d^8 + 5248*B*a^19*b^26*d^8 + 23936*B*a^21*b^24*d^8 + 64000*B*a^23*b^22*d^8 + 111104*B*a^25*b^20*d^8 + 130816*B*a^27*b^18*d^8 + 105728*B*a^29*b^16*d^8 + 57856*B*a^31*b^14*d^8 + 20480*B*a^33*b^12*d^8 + 4224*B*a^35*b^10*d^8 + 384*B*a^37*b^8*d^8 + ((3*A*b - 2*B*a)*(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))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2)) - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2)) - ((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(144*A^4*a^14*b^26*d^5 + 864*A^4*a^16*b^24*d^5 + 2048*A^4*a^18*b^22*d^5 + 2240*A^4*a^20*b^20*d^5 + 672*A^4*a^22*b^18*d^5 - 896*A^4*a^24*b^16*d^5 - 896*A^4*a^26*b^14*d^5 - 192*A^4*a^28*b^12*d^5 + 80*A^4*a^30*b^10*d^5 + 32*A^4*a^32*b^8*d^5 - 64*B^4*a^16*b^24*d^5 - 352*B^4*a^18*b^22*d^5 - 672*B^4*a^20*b^20*d^5 - 224*B^4*a^22*b^18*d^5 + 1120*B^4*a^24*b^16*d^5 + 2016*B^4*a^26*b^14*d^5 + 1568*B^4*a^28*b^12*d^5 + 608*B^4*a^30*b^10*d^5 + 96*B^4*a^32*b^8*d^5 + 192*A*B^3*a^15*b^25*d^5 + 896*A*B^3*a^17*b^23*d^5 + 896*A*B^3*a^19*b^21*d^5 - 2688*A*B^3*a^21*b^19*d^5 - 8960*A*B^3*a^23*b^17*d^5 - 11648*A*B^3*a^25*b^15*d^5 - 8064*A*B^3*a^27*b^13*d^5 - 2944*A*B^3*a^29*b^11*d^5 - 448*A*B^3*a^31*b^9*d^5 - 768*A^3*B*a^15*b^25*d^5 - 5184*A^3*B*a^17*b^23*d^5 - 14784*A^3*B*a^19*b^21*d^5 - 22848*A^3*B*a^21*b^19*d^5 - 20160*A^3*B*a^23*b^17*d^5 - 9408*A^3*B*a^25*b^15*d^5 - 1344*A^3*B*a^27*b^13*d^5 + 576*A^3*B*a^29*b^11*d^5 + 192*A^3*B*a^31*b^9*d^5 - 144*A^2*B^2*a^14*b^26*d^5 - 32*A^2*B^2*a^16*b^24*d^5 + 3808*A^2*B^2*a^18*b^22*d^5 + 15456*A^2*B^2*a^20*b^20*d^5 + 29120*A^2*B^2*a^22*b^18*d^5 + 31136*A^2*B^2*a^24*b^16*d^5 + 19488*A^2*B^2*a^26*b^14*d^5 + 6688*A^2*B^2*a^28*b^12*d^5 + 976*A^2*B^2*a^30*b^10*d^5) + ((3*A*b - 2*B*a)*(576*A^3*a^15*b^27*d^6 + 3456*A^3*a^17*b^25*d^6 + 8480*A^3*a^19*b^23*d^6 + 10976*A^3*a^21*b^21*d^6 + 8736*A^3*a^23*b^19*d^6 + 6496*A^3*a^25*b^17*d^6 + 6496*A^3*a^27*b^15*d^6 + 5280*A^3*a^29*b^13*d^6 + 2336*A^3*a^31*b^11*d^6 + 416*A^3*a^33*b^9*d^6 + 128*B^3*a^16*b^26*d^6 + 128*B^3*a^18*b^24*d^6 - 2592*B^3*a^20*b^22*d^6 - 10976*B^3*a^22*b^20*d^6 - 20384*B^3*a^24*b^18*d^6 - 20832*B^3*a^26*b^16*d^6 - 11872*B^3*a^28*b^14*d^6 - 3232*B^3*a^30*b^12*d^6 - 96*B^3*a^32*b^10*d^6 + 96*B^3*a^34*b^8*d^6 - ((3*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(576*A^2*a^15*b^28*d^7 + 5184*A^2*a^17*b^26*d^7 + 21568*A^2*a^19*b^24*d^7 + 53888*A^2*a^21*b^22*d^7 + 87808*A^2*a^23*b^20*d^7 + 94976*A^2*a^25*b^18*d^7 + 66304*A^2*a^27*b^16*d^7 + 27008*A^2*a^29*b^14*d^7 + 4288*A^2*a^31*b^12*d^7 - 832*A^2*a^33*b^10*d^7 - 320*A^2*a^35*b^8*d^7 + 256*B^2*a^17*b^26*d^7 + 1472*B^2*a^19*b^24*d^7 + 3712*B^2*a^21*b^22*d^7 + 6272*B^2*a^23*b^20*d^7 + 9856*B^2*a^25*b^18*d^7 + 14336*B^2*a^27*b^16*d^7 + 15232*B^2*a^29*b^14*d^7 + 10112*B^2*a^31*b^12*d^7 + 3712*B^2*a^33*b^10*d^7 + 576*B^2*a^35*b^8*d^7 - 768*A*B*a^16*b^27*d^7 - 6400*A*B*a^18*b^25*d^7 - 25856*A*B*a^20*b^23*d^7 - 66304*A*B*a^22*b^21*d^7 - 116480*A*B*a^24*b^19*d^7 - 141568*A*B*a^26*b^17*d^7 - 116480*A*B*a^28*b^15*d^7 - 61696*A*B*a^30*b^13*d^7 - 18944*A*B*a^32*b^11*d^7 - 2560*A*B*a^34*b^9*d^7) - ((3*A*b - 2*B*a)*(768*A*a^16*b^29*d^8 + 7680*A*a^18*b^27*d^8 + 34304*A*a^20*b^25*d^8 + 90112*A*a^22*b^23*d^8 + 154112*A*a^24*b^21*d^8 + 179200*A*a^26*b^19*d^8 + 143360*A*a^28*b^17*d^8 + 77824*A*a^30*b^15*d^8 + 27392*A*a^32*b^13*d^8 + 5632*A*a^34*b^11*d^8 + 512*A*a^36*b^9*d^8 - 512*B*a^17*b^28*d^8 - 5248*B*a^19*b^26*d^8 - 23936*B*a^21*b^24*d^8 - 64000*B*a^23*b^22*d^8 - 111104*B*a^25*b^20*d^8 - 130816*B*a^27*b^18*d^8 - 105728*B*a^29*b^16*d^8 - 57856*B*a^31*b^14*d^8 - 20480*B*a^33*b^12*d^8 - 4224*B*a^35*b^10*d^8 - 384*B*a^37*b^8*d^8 + ((3*A*b - 2*B*a)*(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))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2)) - 384*A*B^2*a^15*b^27*d^6 - 768*A*B^2*a^17*b^25*d^6 + 4128*A*B^2*a^19*b^23*d^6 + 18144*A*B^2*a^21*b^21*d^6 + 27552*A*B^2*a^23*b^19*d^6 + 15456*A*B^2*a^25*b^17*d^6 - 6048*A*B^2*a^27*b^15*d^6 - 13152*A*B^2*a^29*b^13*d^6 - 6816*A*B^2*a^31*b^11*d^6 - 1248*A*B^2*a^33*b^9*d^6 + 288*A^2*B*a^14*b^28*d^6 + 480*A^2*B*a^16*b^26*d^6 - 2688*A^2*B*a^18*b^24*d^6 - 8352*A^2*B*a^20*b^22*d^6 - 3360*A^2*B*a^22*b^20*d^6 + 16800*A^2*B*a^24*b^18*d^6 + 30240*A^2*B*a^26*b^16*d^6 + 21792*A^2*B*a^28*b^14*d^6 + 6528*A^2*B*a^30*b^12*d^6 - 288*A^2*B*a^34*b^8*d^6))/(2*d*(a^5)^(1/2))))/(2*d*(a^5)^(1/2)) + 160*A*B^4*a^16*b^23*d^4 + 1120*A*B^4*a^18*b^21*d^4 + 3360*A*B^4*a^20*b^19*d^4 + 5600*A*B^4*a^22*b^17*d^4 + 5600*A*B^4*a^24*b^15*d^4 + 3360*A*B^4*a^26*b^13*d^4 + 1120*A*B^4*a^28*b^11*d^4 + 160*A*B^4*a^30*b^9*d^4 - 336*A^4*B*a^15*b^24*d^4 - 2288*A^4*B*a^17*b^22*d^4 - 6608*A^4*B*a^19*b^20*d^4 - 10416*A^4*B*a^21*b^18*d^4 - 9520*A^4*B*a^23*b^16*d^4 - 4816*A^4*B*a^25*b^14*d^4 - 1008*A^4*B*a^27*b^12*d^4 + 112*A^4*B*a^29*b^10*d^4 + 64*A^4*B*a^31*b^8*d^4 - 336*A^2*B^3*a^15*b^24*d^4 - 2288*A^2*B^3*a^17*b^22*d^4 - 6608*A^2*B^3*a^19*b^20*d^4 - 10416*A^2*B^3*a^21*b^18*d^4 - 9520*A^2*B^3*a^23*b^16*d^4 - 4816*A^2*B^3*a^25*b^14*d^4 - 1008*A^2*B^3*a^27*b^12*d^4 + 112*A^2*B^3*a^29*b^10*d^4 + 64*A^2*B^3*a^31*b^8*d^4 + 144*A^3*B^2*a^14*b^25*d^4 + 1072*A^3*B^2*a^16*b^23*d^4 + 3472*A^3*B^2*a^18*b^21*d^4 + 6384*A^3*B^2*a^20*b^19*d^4 + 7280*A^3*B^2*a^22*b^17*d^4 + 5264*A^3*B^2*a^24*b^15*d^4 + 2352*A^3*B^2*a^26*b^13*d^4 + 592*A^3*B^2*a^28*b^11*d^4 + 64*A^3*B^2*a^30*b^9*d^4))*(3*A*b - 2*B*a)*1i)/(d*(a^5)^(1/2))","B"
356,1,42371,285,10.278945,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\frac{\frac{2\,\left(A\,b^4-B\,a\,b^3\right)}{a\,\left(a^2+b^2\right)}+\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2\,\left(-4\,B\,a^3\,b+7\,A\,a^2\,b^2-12\,B\,a\,b^3+15\,A\,b^4\right)}{4\,a^3\,\left(a^2+b^2\right)}-\frac{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-4\,B\,a^3\,b+9\,A\,a^2\,b^2-20\,B\,a\,b^3+25\,A\,b^4\right)}{4\,a^2\,\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)}}+\mathrm{atan}\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{41}\,b^8\,d^5+96468992\,A^4\,a^{39}\,b^{10}\,d^5+92536832\,A^4\,a^{37}\,b^{12}\,d^5+1572864\,A^4\,a^{35}\,b^{14}\,d^5+238551040\,A^4\,a^{33}\,b^{16}\,d^5+767033344\,A^4\,a^{31}\,b^{18}\,d^5+704643072\,A^4\,a^{29}\,b^{20}\,d^5-37224448\,A^4\,a^{27}\,b^{22}\,d^5-465043456\,A^4\,a^{25}\,b^{24}\,d^5-290979840\,A^4\,a^{23}\,b^{26}\,d^5-58982400\,A^4\,a^{21}\,b^{28}\,d^5+117440512\,A^3\,B\,a^{40}\,b^9\,d^5+425721856\,A^3\,B\,a^{38}\,b^{11}\,d^5+22020096\,A^3\,B\,a^{36}\,b^{13}\,d^5-1901068288\,A^3\,B\,a^{34}\,b^{15}\,d^5-2825912320\,A^3\,B\,a^{32}\,b^{17}\,d^5+154140672\,A^3\,B\,a^{30}\,b^{19}\,d^5+4059037696\,A^3\,B\,a^{28}\,b^{21}\,d^5+4279238656\,A^3\,B\,a^{26}\,b^{23}\,d^5+1915748352\,A^3\,B\,a^{24}\,b^{25}\,d^5+330301440\,A^3\,B\,a^{22}\,b^{27}\,d^5+318767104\,A^2\,B^2\,a^{39}\,b^{10}\,d^5+1694236672\,A^2\,B^2\,a^{37}\,b^{12}\,d^5+2993160192\,A^2\,B^2\,a^{35}\,b^{14}\,d^5+289931264\,A^2\,B^2\,a^{33}\,b^{16}\,d^5-6404177920\,A^2\,B^2\,a^{31}\,b^{18}\,d^5-10041163776\,A^2\,B^2\,a^{29}\,b^{20}\,d^5-6984040448\,A^2\,B^2\,a^{27}\,b^{22}\,d^5-2202533888\,A^2\,B^2\,a^{25}\,b^{24}\,d^5-124256256\,A^2\,B^2\,a^{23}\,b^{26}\,d^5+58982400\,A^2\,B^2\,a^{21}\,b^{28}\,d^5-50331648\,A\,B^3\,a^{40}\,b^9\,d^5-56623104\,A\,B^3\,a^{38}\,b^{11}\,d^5+918552576\,A\,B^3\,a^{36}\,b^{13}\,d^5+3787456512\,A\,B^3\,a^{34}\,b^{15}\,d^5+6606028800\,A\,B^3\,a^{32}\,b^{17}\,d^5+5989466112\,A\,B^3\,a^{30}\,b^{19}\,d^5+2554331136\,A\,B^3\,a^{28}\,b^{21}\,d^5+37748736\,A\,B^3\,a^{26}\,b^{23}\,d^5-364904448\,A\,B^3\,a^{24}\,b^{25}\,d^5-94371840\,A\,B^3\,a^{22}\,b^{27}\,d^5+8388608\,B^4\,a^{41}\,b^8\,d^5+20971520\,B^4\,a^{39}\,b^{10}\,d^5-50331648\,B^4\,a^{37}\,b^{12}\,d^5-234881024\,B^4\,a^{35}\,b^{14}\,d^5-234881024\,B^4\,a^{33}\,b^{16}\,d^5+176160768\,B^4\,a^{31}\,b^{18}\,d^5+587202560\,B^4\,a^{29}\,b^{20}\,d^5+536870912\,B^4\,a^{27}\,b^{22}\,d^5+226492416\,B^4\,a^{25}\,b^{24}\,d^5+37748736\,B^4\,a^{23}\,b^{26}\,d^5\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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(773849088\,A^3\,a^{35}\,b^{16}\,d^6-117964800\,A^3\,a^{21}\,b^{30}\,d^6-699924480\,A^3\,a^{23}\,b^{28}\,d^6-1889533952\,A^3\,a^{25}\,b^{26}\,d^6-3336568832\,A^3\,a^{27}\,b^{24}\,d^6-4495245312\,A^3\,a^{29}\,b^{22}\,d^6-4279238656\,A^3\,a^{31}\,b^{20}\,d^6-1923088384\,A^3\,a^{33}\,b^{18}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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)-251658240\,A\,a^{24}\,b^{30}\,d^8-2382364672\,A\,a^{26}\,b^{28}\,d^8-9948889088\,A\,a^{28}\,b^{26}\,d^8-23924310016\,A\,a^{30}\,b^{24}\,d^8-36071014400\,A\,a^{32}\,b^{22}\,d^8-34292629504\,A\,a^{34}\,b^{20}\,d^8-18555600896\,A\,a^{36}\,b^{18}\,d^8-2483027968\,A\,a^{38}\,b^{16}\,d^8+3841982464\,A\,a^{40}\,b^{14}\,d^8+2852126720\,A\,a^{42}\,b^{12}\,d^8+855638016\,A\,a^{44}\,b^{10}\,d^8+100663296\,A\,a^{46}\,b^8\,d^8+201326592\,B\,a^{25}\,b^{29}\,d^8+2013265920\,B\,a^{27}\,b^{27}\,d^8+8992587776\,B\,a^{29}\,b^{25}\,d^8+23622320128\,B\,a^{31}\,b^{23}\,d^8+40399536128\,B\,a^{33}\,b^{21}\,d^8+46976204800\,B\,a^{35}\,b^{19}\,d^8+37580963840\,B\,a^{37}\,b^{17}\,d^8+20401094656\,B\,a^{39}\,b^{15}\,d^8+7180648448\,B\,a^{41}\,b^{13}\,d^8+1476395008\,B\,a^{43}\,b^{11}\,d^8+134217728\,B\,a^{45}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+1421344768\,A^3\,a^{37}\,b^{14}\,d^6+587726848\,A^3\,a^{39}\,b^{12}\,d^6+25165824\,A^3\,a^{41}\,b^{10}\,d^6-25165824\,A^3\,a^{43}\,b^8\,d^6+150994944\,B^3\,a^{24}\,b^{27}\,d^6+905969664\,B^3\,a^{26}\,b^{25}\,d^6+2222981120\,B^3\,a^{28}\,b^{23}\,d^6+2877292544\,B^3\,a^{30}\,b^{21}\,d^6+2290089984\,B^3\,a^{32}\,b^{19}\,d^6+1702887424\,B^3\,a^{34}\,b^{17}\,d^6+1702887424\,B^3\,a^{36}\,b^{15}\,d^6+1384120320\,B^3\,a^{38}\,b^{13}\,d^6+612368384\,B^3\,a^{40}\,b^{11}\,d^6+109051904\,B^3\,a^{42}\,b^9\,d^6-452984832\,A\,B^2\,a^{23}\,b^{28}\,d^6-2768240640\,A\,B^2\,a^{25}\,b^{26}\,d^6-7348420608\,A\,B^2\,a^{27}\,b^{24}\,d^6-11903434752\,A\,B^2\,a^{29}\,b^{22}\,d^6-14973665280\,A\,B^2\,a^{31}\,b^{20}\,d^6-16735272960\,A\,B^2\,a^{33}\,b^{18}\,d^6-14973665280\,A\,B^2\,a^{35}\,b^{16}\,d^6-8732540928\,A\,B^2\,a^{37}\,b^{14}\,d^6-2592079872\,A\,B^2\,a^{39}\,b^{12}\,d^6-125829120\,A\,B^2\,a^{41}\,b^{10}\,d^6+75497472\,A\,B^2\,a^{43}\,b^8\,d^6+424673280\,A^2\,B\,a^{22}\,b^{29}\,d^6+2604662784\,A^2\,B\,a^{24}\,b^{27}\,d^6+7159676928\,A^2\,B\,a^{26}\,b^{25}\,d^6+12532580352\,A^2\,B\,a^{28}\,b^{23}\,d^6+16867393536\,A^2\,B\,a^{30}\,b^{21}\,d^6+17792237568\,A^2\,B\,a^{32}\,b^{19}\,d^6+12419334144\,A^2\,B\,a^{34}\,b^{17}\,d^6+3573547008\,A^2\,B\,a^{36}\,b^{15}\,d^6-1513095168\,A^2\,B\,a^{38}\,b^{13}\,d^6-1472200704\,A^2\,B\,a^{40}\,b^{11}\,d^6-327155712\,A^2\,B\,a^{42}\,b^9\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{41}\,b^8\,d^5+96468992\,A^4\,a^{39}\,b^{10}\,d^5+92536832\,A^4\,a^{37}\,b^{12}\,d^5+1572864\,A^4\,a^{35}\,b^{14}\,d^5+238551040\,A^4\,a^{33}\,b^{16}\,d^5+767033344\,A^4\,a^{31}\,b^{18}\,d^5+704643072\,A^4\,a^{29}\,b^{20}\,d^5-37224448\,A^4\,a^{27}\,b^{22}\,d^5-465043456\,A^4\,a^{25}\,b^{24}\,d^5-290979840\,A^4\,a^{23}\,b^{26}\,d^5-58982400\,A^4\,a^{21}\,b^{28}\,d^5+117440512\,A^3\,B\,a^{40}\,b^9\,d^5+425721856\,A^3\,B\,a^{38}\,b^{11}\,d^5+22020096\,A^3\,B\,a^{36}\,b^{13}\,d^5-1901068288\,A^3\,B\,a^{34}\,b^{15}\,d^5-2825912320\,A^3\,B\,a^{32}\,b^{17}\,d^5+154140672\,A^3\,B\,a^{30}\,b^{19}\,d^5+4059037696\,A^3\,B\,a^{28}\,b^{21}\,d^5+4279238656\,A^3\,B\,a^{26}\,b^{23}\,d^5+1915748352\,A^3\,B\,a^{24}\,b^{25}\,d^5+330301440\,A^3\,B\,a^{22}\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\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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(3841982464\,A\,a^{40}\,b^{14}\,d^8-251658240\,A\,a^{24}\,b^{30}\,d^8-2382364672\,A\,a^{26}\,b^{28}\,d^8-9948889088\,A\,a^{28}\,b^{26}\,d^8-23924310016\,A\,a^{30}\,b^{24}\,d^8-36071014400\,A\,a^{32}\,b^{22}\,d^8-34292629504\,A\,a^{34}\,b^{20}\,d^8-18555600896\,A\,a^{36}\,b^{18}\,d^8-2483027968\,A\,a^{38}\,b^{16}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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)+2852126720\,A\,a^{42}\,b^{12}\,d^8+855638016\,A\,a^{44}\,b^{10}\,d^8+100663296\,A\,a^{46}\,b^8\,d^8+201326592\,B\,a^{25}\,b^{29}\,d^8+2013265920\,B\,a^{27}\,b^{27}\,d^8+8992587776\,B\,a^{29}\,b^{25}\,d^8+23622320128\,B\,a^{31}\,b^{23}\,d^8+40399536128\,B\,a^{33}\,b^{21}\,d^8+46976204800\,B\,a^{35}\,b^{19}\,d^8+37580963840\,B\,a^{37}\,b^{17}\,d^8+20401094656\,B\,a^{39}\,b^{15}\,d^8+7180648448\,B\,a^{41}\,b^{13}\,d^8+1476395008\,B\,a^{43}\,b^{11}\,d^8+134217728\,B\,a^{45}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{21}\,b^{30}\,d^6-699924480\,A^3\,a^{23}\,b^{28}\,d^6-1889533952\,A^3\,a^{25}\,b^{26}\,d^6-3336568832\,A^3\,a^{27}\,b^{24}\,d^6-4495245312\,A^3\,a^{29}\,b^{22}\,d^6-4279238656\,A^3\,a^{31}\,b^{20}\,d^6-1923088384\,A^3\,a^{33}\,b^{18}\,d^6+773849088\,A^3\,a^{35}\,b^{16}\,d^6+1421344768\,A^3\,a^{37}\,b^{14}\,d^6+587726848\,A^3\,a^{39}\,b^{12}\,d^6+25165824\,A^3\,a^{41}\,b^{10}\,d^6-25165824\,A^3\,a^{43}\,b^8\,d^6+150994944\,B^3\,a^{24}\,b^{27}\,d^6+905969664\,B^3\,a^{26}\,b^{25}\,d^6+2222981120\,B^3\,a^{28}\,b^{23}\,d^6+2877292544\,B^3\,a^{30}\,b^{21}\,d^6+2290089984\,B^3\,a^{32}\,b^{19}\,d^6+1702887424\,B^3\,a^{34}\,b^{17}\,d^6+1702887424\,B^3\,a^{36}\,b^{15}\,d^6+1384120320\,B^3\,a^{38}\,b^{13}\,d^6+612368384\,B^3\,a^{40}\,b^{11}\,d^6+109051904\,B^3\,a^{42}\,b^9\,d^6-452984832\,A\,B^2\,a^{23}\,b^{28}\,d^6-2768240640\,A\,B^2\,a^{25}\,b^{26}\,d^6-7348420608\,A\,B^2\,a^{27}\,b^{24}\,d^6-11903434752\,A\,B^2\,a^{29}\,b^{22}\,d^6-14973665280\,A\,B^2\,a^{31}\,b^{20}\,d^6-16735272960\,A\,B^2\,a^{33}\,b^{18}\,d^6-14973665280\,A\,B^2\,a^{35}\,b^{16}\,d^6-8732540928\,A\,B^2\,a^{37}\,b^{14}\,d^6-2592079872\,A\,B^2\,a^{39}\,b^{12}\,d^6-125829120\,A\,B^2\,a^{41}\,b^{10}\,d^6+75497472\,A\,B^2\,a^{43}\,b^8\,d^6+424673280\,A^2\,B\,a^{22}\,b^{29}\,d^6+2604662784\,A^2\,B\,a^{24}\,b^{27}\,d^6+7159676928\,A^2\,B\,a^{26}\,b^{25}\,d^6+12532580352\,A^2\,B\,a^{28}\,b^{23}\,d^6+16867393536\,A^2\,B\,a^{30}\,b^{21}\,d^6+17792237568\,A^2\,B\,a^{32}\,b^{19}\,d^6+12419334144\,A^2\,B\,a^{34}\,b^{17}\,d^6+3573547008\,A^2\,B\,a^{36}\,b^{15}\,d^6-1513095168\,A^2\,B\,a^{38}\,b^{13}\,d^6-1472200704\,A^2\,B\,a^{40}\,b^{11}\,d^6-327155712\,A^2\,B\,a^{42}\,b^9\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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)}\,\left(25165824\,A^4\,a^{41}\,b^8\,d^5+96468992\,A^4\,a^{39}\,b^{10}\,d^5+92536832\,A^4\,a^{37}\,b^{12}\,d^5+1572864\,A^4\,a^{35}\,b^{14}\,d^5+238551040\,A^4\,a^{33}\,b^{16}\,d^5+767033344\,A^4\,a^{31}\,b^{18}\,d^5+704643072\,A^4\,a^{29}\,b^{20}\,d^5-37224448\,A^4\,a^{27}\,b^{22}\,d^5-465043456\,A^4\,a^{25}\,b^{24}\,d^5-290979840\,A^4\,a^{23}\,b^{26}\,d^5-58982400\,A^4\,a^{21}\,b^{28}\,d^5+117440512\,A^3\,B\,a^{40}\,b^9\,d^5+425721856\,A^3\,B\,a^{38}\,b^{11}\,d^5+22020096\,A^3\,B\,a^{36}\,b^{13}\,d^5-1901068288\,A^3\,B\,a^{34}\,b^{15}\,d^5-2825912320\,A^3\,B\,a^{32}\,b^{17}\,d^5+154140672\,A^3\,B\,a^{30}\,b^{19}\,d^5+4059037696\,A^3\,B\,a^{28}\,b^{21}\,d^5+4279238656\,A^3\,B\,a^{26}\,b^{23}\,d^5+1915748352\,A^3\,B\,a^{24}\,b^{25}\,d^5+330301440\,A^3\,B\,a^{22}\,b^{27}\,d^5+318767104\,A^2\,B^2\,a^{39}\,b^{10}\,d^5+1694236672\,A^2\,B^2\,a^{37}\,b^{12}\,d^5+2993160192\,A^2\,B^2\,a^{35}\,b^{14}\,d^5+289931264\,A^2\,B^2\,a^{33}\,b^{16}\,d^5-6404177920\,A^2\,B^2\,a^{31}\,b^{18}\,d^5-10041163776\,A^2\,B^2\,a^{29}\,b^{20}\,d^5-6984040448\,A^2\,B^2\,a^{27}\,b^{22}\,d^5-2202533888\,A^2\,B^2\,a^{25}\,b^{24}\,d^5-124256256\,A^2\,B^2\,a^{23}\,b^{26}\,d^5+58982400\,A^2\,B^2\,a^{21}\,b^{28}\,d^5-50331648\,A\,B^3\,a^{40}\,b^9\,d^5-56623104\,A\,B^3\,a^{38}\,b^{11}\,d^5+918552576\,A\,B^3\,a^{36}\,b^{13}\,d^5+3787456512\,A\,B^3\,a^{34}\,b^{15}\,d^5+6606028800\,A\,B^3\,a^{32}\,b^{17}\,d^5+5989466112\,A\,B^3\,a^{30}\,b^{19}\,d^5+2554331136\,A\,B^3\,a^{28}\,b^{21}\,d^5+37748736\,A\,B^3\,a^{26}\,b^{23}\,d^5-364904448\,A\,B^3\,a^{24}\,b^{25}\,d^5-94371840\,A\,B^3\,a^{22}\,b^{27}\,d^5+8388608\,B^4\,a^{41}\,b^8\,d^5+20971520\,B^4\,a^{39}\,b^{10}\,d^5-50331648\,B^4\,a^{37}\,b^{12}\,d^5-234881024\,B^4\,a^{35}\,b^{14}\,d^5-234881024\,B^4\,a^{33}\,b^{16}\,d^5+176160768\,B^4\,a^{31}\,b^{18}\,d^5+587202560\,B^4\,a^{29}\,b^{20}\,d^5+536870912\,B^4\,a^{27}\,b^{22}\,d^5+226492416\,B^4\,a^{25}\,b^{24}\,d^5+37748736\,B^4\,a^{23}\,b^{26}\,d^5\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,A^2\,a^3\,d^2+4\,B^2\,a^3\,d^2+8\,A\,B\,b^3\,d^2+12\,A^2\,a\,b^2\,d^2-12\,B^2\,a\,b^2\,d^2-24\,A\,B\,a^2\,b\,d^2}{16\,\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(773849088\,A^3\,a^{35}\,b^{16}\,d^6-117964800\,A^3\,a^{21}\,b^{30}\,d^6-699924480\,A^3\,a^{23}\,b^{28}\,d^6-1889533952\,A^3\,a^{25}\,b^{26}\,d^6-3336568832\,A^3\,a^{27}\,b^{24}\,d^6-4495245312\,A^3\,a^{29}\,b^{22}\,d^6-4279238656\,A^3\,a^{31}\,b^{20}\,d^6-1923088384\,A^3\,a^{33}\,b^{18}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^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^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,\left(773849088\,A^3\,a^{35}\,b^{16}\,d^6-117964800\,A^3\,a^{21}\,b^{30}\,d^6-699924480\,A^3\,a^{23}\,b^{28}\,d^6-1889533952\,A^3\,a^{25}\,b^{26}\,d^6-3336568832\,A^3\,a^{27}\,b^{24}\,d^6-4495245312\,A^3\,a^{29}\,b^{22}\,d^6-4279238656\,A^3\,a^{31}\,b^{20}\,d^6-1923088384\,A^3\,a^{33}\,b^{18}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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)-251658240\,A\,a^{24}\,b^{30}\,d^8-2382364672\,A\,a^{26}\,b^{28}\,d^8-9948889088\,A\,a^{28}\,b^{26}\,d^8-23924310016\,A\,a^{30}\,b^{24}\,d^8-36071014400\,A\,a^{32}\,b^{22}\,d^8-34292629504\,A\,a^{34}\,b^{20}\,d^8-18555600896\,A\,a^{36}\,b^{18}\,d^8-2483027968\,A\,a^{38}\,b^{16}\,d^8+3841982464\,A\,a^{40}\,b^{14}\,d^8+2852126720\,A\,a^{42}\,b^{12}\,d^8+855638016\,A\,a^{44}\,b^{10}\,d^8+100663296\,A\,a^{46}\,b^8\,d^8+201326592\,B\,a^{25}\,b^{29}\,d^8+2013265920\,B\,a^{27}\,b^{27}\,d^8+8992587776\,B\,a^{29}\,b^{25}\,d^8+23622320128\,B\,a^{31}\,b^{23}\,d^8+40399536128\,B\,a^{33}\,b^{21}\,d^8+46976204800\,B\,a^{35}\,b^{19}\,d^8+37580963840\,B\,a^{37}\,b^{17}\,d^8+20401094656\,B\,a^{39}\,b^{15}\,d^8+7180648448\,B\,a^{41}\,b^{13}\,d^8+1476395008\,B\,a^{43}\,b^{11}\,d^8+134217728\,B\,a^{45}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+1421344768\,A^3\,a^{37}\,b^{14}\,d^6+587726848\,A^3\,a^{39}\,b^{12}\,d^6+25165824\,A^3\,a^{41}\,b^{10}\,d^6-25165824\,A^3\,a^{43}\,b^8\,d^6+150994944\,B^3\,a^{24}\,b^{27}\,d^6+905969664\,B^3\,a^{26}\,b^{25}\,d^6+2222981120\,B^3\,a^{28}\,b^{23}\,d^6+2877292544\,B^3\,a^{30}\,b^{21}\,d^6+2290089984\,B^3\,a^{32}\,b^{19}\,d^6+1702887424\,B^3\,a^{34}\,b^{17}\,d^6+1702887424\,B^3\,a^{36}\,b^{15}\,d^6+1384120320\,B^3\,a^{38}\,b^{13}\,d^6+612368384\,B^3\,a^{40}\,b^{11}\,d^6+109051904\,B^3\,a^{42}\,b^9\,d^6-452984832\,A\,B^2\,a^{23}\,b^{28}\,d^6-2768240640\,A\,B^2\,a^{25}\,b^{26}\,d^6-7348420608\,A\,B^2\,a^{27}\,b^{24}\,d^6-11903434752\,A\,B^2\,a^{29}\,b^{22}\,d^6-14973665280\,A\,B^2\,a^{31}\,b^{20}\,d^6-16735272960\,A\,B^2\,a^{33}\,b^{18}\,d^6-14973665280\,A\,B^2\,a^{35}\,b^{16}\,d^6-8732540928\,A\,B^2\,a^{37}\,b^{14}\,d^6-2592079872\,A\,B^2\,a^{39}\,b^{12}\,d^6-125829120\,A\,B^2\,a^{41}\,b^{10}\,d^6+75497472\,A\,B^2\,a^{43}\,b^8\,d^6+424673280\,A^2\,B\,a^{22}\,b^{29}\,d^6+2604662784\,A^2\,B\,a^{24}\,b^{27}\,d^6+7159676928\,A^2\,B\,a^{26}\,b^{25}\,d^6+12532580352\,A^2\,B\,a^{28}\,b^{23}\,d^6+16867393536\,A^2\,B\,a^{30}\,b^{21}\,d^6+17792237568\,A^2\,B\,a^{32}\,b^{19}\,d^6+12419334144\,A^2\,B\,a^{34}\,b^{17}\,d^6+3573547008\,A^2\,B\,a^{36}\,b^{15}\,d^6-1513095168\,A^2\,B\,a^{38}\,b^{13}\,d^6-1472200704\,A^2\,B\,a^{40}\,b^{11}\,d^6-327155712\,A^2\,B\,a^{42}\,b^9\,d^6\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{41}\,b^8\,d^5+96468992\,A^4\,a^{39}\,b^{10}\,d^5+92536832\,A^4\,a^{37}\,b^{12}\,d^5+1572864\,A^4\,a^{35}\,b^{14}\,d^5+238551040\,A^4\,a^{33}\,b^{16}\,d^5+767033344\,A^4\,a^{31}\,b^{18}\,d^5+704643072\,A^4\,a^{29}\,b^{20}\,d^5-37224448\,A^4\,a^{27}\,b^{22}\,d^5-465043456\,A^4\,a^{25}\,b^{24}\,d^5-290979840\,A^4\,a^{23}\,b^{26}\,d^5-58982400\,A^4\,a^{21}\,b^{28}\,d^5+117440512\,A^3\,B\,a^{40}\,b^9\,d^5+425721856\,A^3\,B\,a^{38}\,b^{11}\,d^5+22020096\,A^3\,B\,a^{36}\,b^{13}\,d^5-1901068288\,A^3\,B\,a^{34}\,b^{15}\,d^5-2825912320\,A^3\,B\,a^{32}\,b^{17}\,d^5+154140672\,A^3\,B\,a^{30}\,b^{19}\,d^5+4059037696\,A^3\,B\,a^{28}\,b^{21}\,d^5+4279238656\,A^3\,B\,a^{26}\,b^{23}\,d^5+1915748352\,A^3\,B\,a^{24}\,b^{25}\,d^5+330301440\,A^3\,B\,a^{22}\,b^{27}\,d^5+318767104\,A^2\,B^2\,a^{39}\,b^{10}\,d^5+1694236672\,A^2\,B^2\,a^{37}\,b^{12}\,d^5+2993160192\,A^2\,B^2\,a^{35}\,b^{14}\,d^5+289931264\,A^2\,B^2\,a^{33}\,b^{16}\,d^5-6404177920\,A^2\,B^2\,a^{31}\,b^{18}\,d^5-10041163776\,A^2\,B^2\,a^{29}\,b^{20}\,d^5-6984040448\,A^2\,B^2\,a^{27}\,b^{22}\,d^5-2202533888\,A^2\,B^2\,a^{25}\,b^{24}\,d^5-124256256\,A^2\,B^2\,a^{23}\,b^{26}\,d^5+58982400\,A^2\,B^2\,a^{21}\,b^{28}\,d^5-50331648\,A\,B^3\,a^{40}\,b^9\,d^5-56623104\,A\,B^3\,a^{38}\,b^{11}\,d^5+918552576\,A\,B^3\,a^{36}\,b^{13}\,d^5+3787456512\,A\,B^3\,a^{34}\,b^{15}\,d^5+6606028800\,A\,B^3\,a^{32}\,b^{17}\,d^5+5989466112\,A\,B^3\,a^{30}\,b^{19}\,d^5+2554331136\,A\,B^3\,a^{28}\,b^{21}\,d^5+37748736\,A\,B^3\,a^{26}\,b^{23}\,d^5-364904448\,A\,B^3\,a^{24}\,b^{25}\,d^5-94371840\,A\,B^3\,a^{22}\,b^{27}\,d^5+8388608\,B^4\,a^{41}\,b^8\,d^5+20971520\,B^4\,a^{39}\,b^{10}\,d^5-50331648\,B^4\,a^{37}\,b^{12}\,d^5-234881024\,B^4\,a^{35}\,b^{14}\,d^5-234881024\,B^4\,a^{33}\,b^{16}\,d^5+176160768\,B^4\,a^{31}\,b^{18}\,d^5+587202560\,B^4\,a^{29}\,b^{20}\,d^5+536870912\,B^4\,a^{27}\,b^{22}\,d^5+226492416\,B^4\,a^{25}\,b^{24}\,d^5+37748736\,B^4\,a^{23}\,b^{26}\,d^5\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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(3841982464\,A\,a^{40}\,b^{14}\,d^8-251658240\,A\,a^{24}\,b^{30}\,d^8-2382364672\,A\,a^{26}\,b^{28}\,d^8-9948889088\,A\,a^{28}\,b^{26}\,d^8-23924310016\,A\,a^{30}\,b^{24}\,d^8-36071014400\,A\,a^{32}\,b^{22}\,d^8-34292629504\,A\,a^{34}\,b^{20}\,d^8-18555600896\,A\,a^{36}\,b^{18}\,d^8-2483027968\,A\,a^{38}\,b^{16}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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)+2852126720\,A\,a^{42}\,b^{12}\,d^8+855638016\,A\,a^{44}\,b^{10}\,d^8+100663296\,A\,a^{46}\,b^8\,d^8+201326592\,B\,a^{25}\,b^{29}\,d^8+2013265920\,B\,a^{27}\,b^{27}\,d^8+8992587776\,B\,a^{29}\,b^{25}\,d^8+23622320128\,B\,a^{31}\,b^{23}\,d^8+40399536128\,B\,a^{33}\,b^{21}\,d^8+46976204800\,B\,a^{35}\,b^{19}\,d^8+37580963840\,B\,a^{37}\,b^{17}\,d^8+20401094656\,B\,a^{39}\,b^{15}\,d^8+7180648448\,B\,a^{41}\,b^{13}\,d^8+1476395008\,B\,a^{43}\,b^{11}\,d^8+134217728\,B\,a^{45}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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^3\,a^{21}\,b^{30}\,d^6-699924480\,A^3\,a^{23}\,b^{28}\,d^6-1889533952\,A^3\,a^{25}\,b^{26}\,d^6-3336568832\,A^3\,a^{27}\,b^{24}\,d^6-4495245312\,A^3\,a^{29}\,b^{22}\,d^6-4279238656\,A^3\,a^{31}\,b^{20}\,d^6-1923088384\,A^3\,a^{33}\,b^{18}\,d^6+773849088\,A^3\,a^{35}\,b^{16}\,d^6+1421344768\,A^3\,a^{37}\,b^{14}\,d^6+587726848\,A^3\,a^{39}\,b^{12}\,d^6+25165824\,A^3\,a^{41}\,b^{10}\,d^6-25165824\,A^3\,a^{43}\,b^8\,d^6+150994944\,B^3\,a^{24}\,b^{27}\,d^6+905969664\,B^3\,a^{26}\,b^{25}\,d^6+2222981120\,B^3\,a^{28}\,b^{23}\,d^6+2877292544\,B^3\,a^{30}\,b^{21}\,d^6+2290089984\,B^3\,a^{32}\,b^{19}\,d^6+1702887424\,B^3\,a^{34}\,b^{17}\,d^6+1702887424\,B^3\,a^{36}\,b^{15}\,d^6+1384120320\,B^3\,a^{38}\,b^{13}\,d^6+612368384\,B^3\,a^{40}\,b^{11}\,d^6+109051904\,B^3\,a^{42}\,b^9\,d^6-452984832\,A\,B^2\,a^{23}\,b^{28}\,d^6-2768240640\,A\,B^2\,a^{25}\,b^{26}\,d^6-7348420608\,A\,B^2\,a^{27}\,b^{24}\,d^6-11903434752\,A\,B^2\,a^{29}\,b^{22}\,d^6-14973665280\,A\,B^2\,a^{31}\,b^{20}\,d^6-16735272960\,A\,B^2\,a^{33}\,b^{18}\,d^6-14973665280\,A\,B^2\,a^{35}\,b^{16}\,d^6-8732540928\,A\,B^2\,a^{37}\,b^{14}\,d^6-2592079872\,A\,B^2\,a^{39}\,b^{12}\,d^6-125829120\,A\,B^2\,a^{41}\,b^{10}\,d^6+75497472\,A\,B^2\,a^{43}\,b^8\,d^6+424673280\,A^2\,B\,a^{22}\,b^{29}\,d^6+2604662784\,A^2\,B\,a^{24}\,b^{27}\,d^6+7159676928\,A^2\,B\,a^{26}\,b^{25}\,d^6+12532580352\,A^2\,B\,a^{28}\,b^{23}\,d^6+16867393536\,A^2\,B\,a^{30}\,b^{21}\,d^6+17792237568\,A^2\,B\,a^{32}\,b^{19}\,d^6+12419334144\,A^2\,B\,a^{34}\,b^{17}\,d^6+3573547008\,A^2\,B\,a^{36}\,b^{15}\,d^6-1513095168\,A^2\,B\,a^{38}\,b^{13}\,d^6-1472200704\,A^2\,B\,a^{40}\,b^{11}\,d^6-327155712\,A^2\,B\,a^{42}\,b^9\,d^6\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{41}\,b^8\,d^5+96468992\,A^4\,a^{39}\,b^{10}\,d^5+92536832\,A^4\,a^{37}\,b^{12}\,d^5+1572864\,A^4\,a^{35}\,b^{14}\,d^5+238551040\,A^4\,a^{33}\,b^{16}\,d^5+767033344\,A^4\,a^{31}\,b^{18}\,d^5+704643072\,A^4\,a^{29}\,b^{20}\,d^5-37224448\,A^4\,a^{27}\,b^{22}\,d^5-465043456\,A^4\,a^{25}\,b^{24}\,d^5-290979840\,A^4\,a^{23}\,b^{26}\,d^5-58982400\,A^4\,a^{21}\,b^{28}\,d^5+117440512\,A^3\,B\,a^{40}\,b^9\,d^5+425721856\,A^3\,B\,a^{38}\,b^{11}\,d^5+22020096\,A^3\,B\,a^{36}\,b^{13}\,d^5-1901068288\,A^3\,B\,a^{34}\,b^{15}\,d^5-2825912320\,A^3\,B\,a^{32}\,b^{17}\,d^5+154140672\,A^3\,B\,a^{30}\,b^{19}\,d^5+4059037696\,A^3\,B\,a^{28}\,b^{21}\,d^5+4279238656\,A^3\,B\,a^{26}\,b^{23}\,d^5+1915748352\,A^3\,B\,a^{24}\,b^{25}\,d^5+330301440\,A^3\,B\,a^{22}\,b^{27}\,d^5+318767104\,A^2\,B^2\,a^{39}\,b^{10}\,d^5+1694236672\,A^2\,B^2\,a^{37}\,b^{12}\,d^5+2993160192\,A^2\,B^2\,a^{35}\,b^{14}\,d^5+289931264\,A^2\,B^2\,a^{33}\,b^{16}\,d^5-6404177920\,A^2\,B^2\,a^{31}\,b^{18}\,d^5-10041163776\,A^2\,B^2\,a^{29}\,b^{20}\,d^5-6984040448\,A^2\,B^2\,a^{27}\,b^{22}\,d^5-2202533888\,A^2\,B^2\,a^{25}\,b^{24}\,d^5-124256256\,A^2\,B^2\,a^{23}\,b^{26}\,d^5+58982400\,A^2\,B^2\,a^{21}\,b^{28}\,d^5-50331648\,A\,B^3\,a^{40}\,b^9\,d^5-56623104\,A\,B^3\,a^{38}\,b^{11}\,d^5+918552576\,A\,B^3\,a^{36}\,b^{13}\,d^5+3787456512\,A\,B^3\,a^{34}\,b^{15}\,d^5+6606028800\,A\,B^3\,a^{32}\,b^{17}\,d^5+5989466112\,A\,B^3\,a^{30}\,b^{19}\,d^5+2554331136\,A\,B^3\,a^{28}\,b^{21}\,d^5+37748736\,A\,B^3\,a^{26}\,b^{23}\,d^5-364904448\,A\,B^3\,a^{24}\,b^{25}\,d^5-94371840\,A\,B^3\,a^{22}\,b^{27}\,d^5+8388608\,B^4\,a^{41}\,b^8\,d^5+20971520\,B^4\,a^{39}\,b^{10}\,d^5-50331648\,B^4\,a^{37}\,b^{12}\,d^5-234881024\,B^4\,a^{35}\,b^{14}\,d^5-234881024\,B^4\,a^{33}\,b^{16}\,d^5+176160768\,B^4\,a^{31}\,b^{18}\,d^5+587202560\,B^4\,a^{29}\,b^{20}\,d^5+536870912\,B^4\,a^{27}\,b^{22}\,d^5+226492416\,B^4\,a^{25}\,b^{24}\,d^5+37748736\,B^4\,a^{23}\,b^{26}\,d^5\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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(3841982464\,A\,a^{40}\,b^{14}\,d^8-251658240\,A\,a^{24}\,b^{30}\,d^8-2382364672\,A\,a^{26}\,b^{28}\,d^8-9948889088\,A\,a^{28}\,b^{26}\,d^8-23924310016\,A\,a^{30}\,b^{24}\,d^8-36071014400\,A\,a^{32}\,b^{22}\,d^8-34292629504\,A\,a^{34}\,b^{20}\,d^8-18555600896\,A\,a^{36}\,b^{18}\,d^8-2483027968\,A\,a^{38}\,b^{16}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^3\,d^2-24\,A^2\,a\,b^2\,d^2+48\,A\,B\,a^2\,b\,d^2-16\,A\,B\,b^3\,d^2-8\,B^2\,a^3\,d^2+24\,B^2\,a\,b^2\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,A^2\,a^3\,d^2-4\,B^2\,a^3\,d^2-8\,A\,B\,b^3\,d^2-12\,A^2\,a\,b^2\,d^2+12\,B^2\,a\,b^2\,d^2+24\,A\,B\,a^2\,b\,d^2}{16\,\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}\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\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)}{8}-\frac{\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\left(480247808\,A\,a^{40}\,b^{14}\,d^8-297795584\,A\,a^{26}\,b^{28}\,d^8-1243611136\,A\,a^{28}\,b^{26}\,d^8-2990538752\,A\,a^{30}\,b^{24}\,d^8-4508876800\,A\,a^{32}\,b^{22}\,d^8-4286578688\,A\,a^{34}\,b^{20}\,d^8-2319450112\,A\,a^{36}\,b^{18}\,d^8-310378496\,A\,a^{38}\,b^{16}\,d^8-31457280\,A\,a^{24}\,b^{30}\,d^8+356515840\,A\,a^{42}\,b^{12}\,d^8+106954752\,A\,a^{44}\,b^{10}\,d^8+12582912\,A\,a^{46}\,b^8\,d^8+25165824\,B\,a^{25}\,b^{29}\,d^8+251658240\,B\,a^{27}\,b^{27}\,d^8+1124073472\,B\,a^{29}\,b^{25}\,d^8+2952790016\,B\,a^{31}\,b^{23}\,d^8+5049942016\,B\,a^{33}\,b^{21}\,d^8+5872025600\,B\,a^{35}\,b^{19}\,d^8+4697620480\,B\,a^{37}\,b^{17}\,d^8+2550136832\,B\,a^{39}\,b^{15}\,d^8+897581056\,B\,a^{41}\,b^{13}\,d^8+184549376\,B\,a^{43}\,b^{11}\,d^8+16777216\,B\,a^{45}\,b^9\,d^8+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\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)}{64\,a^7\,d}\right)}{8\,a^7\,d}\right)\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}}{8\,a^7\,d}-56623104\,A\,B^2\,a^{23}\,b^{28}\,d^6-346030080\,A\,B^2\,a^{25}\,b^{26}\,d^6-918552576\,A\,B^2\,a^{27}\,b^{24}\,d^6-1487929344\,A\,B^2\,a^{29}\,b^{22}\,d^6-1871708160\,A\,B^2\,a^{31}\,b^{20}\,d^6-2091909120\,A\,B^2\,a^{33}\,b^{18}\,d^6-1871708160\,A\,B^2\,a^{35}\,b^{16}\,d^6-1091567616\,A\,B^2\,a^{37}\,b^{14}\,d^6-324009984\,A\,B^2\,a^{39}\,b^{12}\,d^6-15728640\,A\,B^2\,a^{41}\,b^{10}\,d^6+9437184\,A\,B^2\,a^{43}\,b^8\,d^6+53084160\,A^2\,B\,a^{22}\,b^{29}\,d^6+325582848\,A^2\,B\,a^{24}\,b^{27}\,d^6+894959616\,A^2\,B\,a^{26}\,b^{25}\,d^6+1566572544\,A^2\,B\,a^{28}\,b^{23}\,d^6+2108424192\,A^2\,B\,a^{30}\,b^{21}\,d^6+2224029696\,A^2\,B\,a^{32}\,b^{19}\,d^6+1552416768\,A^2\,B\,a^{34}\,b^{17}\,d^6+446693376\,A^2\,B\,a^{36}\,b^{15}\,d^6-189136896\,A^2\,B\,a^{38}\,b^{13}\,d^6-184025088\,A^2\,B\,a^{40}\,b^{11}\,d^6-40894464\,A^2\,B\,a^{42}\,b^9\,d^6\right)}{8\,a^7\,d}\right)\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,1{}\mathrm{i}}{a^7\,d}}{58982400\,A^5\,a^{22}\,b^{26}\,d^4+381419520\,A^5\,a^{24}\,b^{24}\,d^4+1018429440\,A^5\,a^{26}\,b^{22}\,d^4+1403781120\,A^5\,a^{28}\,b^{20}\,d^4+963379200\,A^5\,a^{30}\,b^{18}\,d^4+137625600\,A^5\,a^{32}\,b^{16}\,d^4-247726080\,A^5\,a^{34}\,b^{14}\,d^4-161218560\,A^5\,a^{36}\,b^{12}\,d^4-31457280\,A^5\,a^{38}\,b^{10}\,d^4+37748736\,B^5\,a^{23}\,b^{25}\,d^4+239075328\,B^5\,a^{25}\,b^{23}\,d^4+616562688\,B^5\,a^{27}\,b^{21}\,d^4+792723456\,B^5\,a^{29}\,b^{19}\,d^4+440401920\,B^5\,a^{31}\,b^{17}\,d^4-88080384\,B^5\,a^{33}\,b^{15}\,d^4-264241152\,B^5\,a^{35}\,b^{13}\,d^4-138412032\,B^5\,a^{37}\,b^{11}\,d^4-25165824\,B^5\,a^{39}\,b^9\,d^4+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{41}\,b^8\,d^5+96468992\,A^4\,a^{39}\,b^{10}\,d^5+92536832\,A^4\,a^{37}\,b^{12}\,d^5+1572864\,A^4\,a^{35}\,b^{14}\,d^5+238551040\,A^4\,a^{33}\,b^{16}\,d^5+767033344\,A^4\,a^{31}\,b^{18}\,d^5+704643072\,A^4\,a^{29}\,b^{20}\,d^5-37224448\,A^4\,a^{27}\,b^{22}\,d^5-465043456\,A^4\,a^{25}\,b^{24}\,d^5-290979840\,A^4\,a^{23}\,b^{26}\,d^5-58982400\,A^4\,a^{21}\,b^{28}\,d^5+117440512\,A^3\,B\,a^{40}\,b^9\,d^5+425721856\,A^3\,B\,a^{38}\,b^{11}\,d^5+22020096\,A^3\,B\,a^{36}\,b^{13}\,d^5-1901068288\,A^3\,B\,a^{34}\,b^{15}\,d^5-2825912320\,A^3\,B\,a^{32}\,b^{17}\,d^5+154140672\,A^3\,B\,a^{30}\,b^{19}\,d^5+4059037696\,A^3\,B\,a^{28}\,b^{21}\,d^5+4279238656\,A^3\,B\,a^{26}\,b^{23}\,d^5+1915748352\,A^3\,B\,a^{24}\,b^{25}\,d^5+330301440\,A^3\,B\,a^{22}\,b^{27}\,d^5+318767104\,A^2\,B^2\,a^{39}\,b^{10}\,d^5+1694236672\,A^2\,B^2\,a^{37}\,b^{12}\,d^5+2993160192\,A^2\,B^2\,a^{35}\,b^{14}\,d^5+289931264\,A^2\,B^2\,a^{33}\,b^{16}\,d^5-6404177920\,A^2\,B^2\,a^{31}\,b^{18}\,d^5-10041163776\,A^2\,B^2\,a^{29}\,b^{20}\,d^5-6984040448\,A^2\,B^2\,a^{27}\,b^{22}\,d^5-2202533888\,A^2\,B^2\,a^{25}\,b^{24}\,d^5-124256256\,A^2\,B^2\,a^{23}\,b^{26}\,d^5+58982400\,A^2\,B^2\,a^{21}\,b^{28}\,d^5-50331648\,A\,B^3\,a^{40}\,b^9\,d^5-56623104\,A\,B^3\,a^{38}\,b^{11}\,d^5+918552576\,A\,B^3\,a^{36}\,b^{13}\,d^5+3787456512\,A\,B^3\,a^{34}\,b^{15}\,d^5+6606028800\,A\,B^3\,a^{32}\,b^{17}\,d^5+5989466112\,A\,B^3\,a^{30}\,b^{19}\,d^5+2554331136\,A\,B^3\,a^{28}\,b^{21}\,d^5+37748736\,A\,B^3\,a^{26}\,b^{23}\,d^5-364904448\,A\,B^3\,a^{24}\,b^{25}\,d^5-94371840\,A\,B^3\,a^{22}\,b^{27}\,d^5+8388608\,B^4\,a^{41}\,b^8\,d^5+20971520\,B^4\,a^{39}\,b^{10}\,d^5-50331648\,B^4\,a^{37}\,b^{12}\,d^5-234881024\,B^4\,a^{35}\,b^{14}\,d^5-234881024\,B^4\,a^{33}\,b^{16}\,d^5+176160768\,B^4\,a^{31}\,b^{18}\,d^5+587202560\,B^4\,a^{29}\,b^{20}\,d^5+536870912\,B^4\,a^{27}\,b^{22}\,d^5+226492416\,B^4\,a^{25}\,b^{24}\,d^5+37748736\,B^4\,a^{23}\,b^{26}\,d^5\right)}{8}-\frac{\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\left(96731136\,A^3\,a^{35}\,b^{16}\,d^6-87490560\,A^3\,a^{23}\,b^{28}\,d^6-236191744\,A^3\,a^{25}\,b^{26}\,d^6-417071104\,A^3\,a^{27}\,b^{24}\,d^6-561905664\,A^3\,a^{29}\,b^{22}\,d^6-534904832\,A^3\,a^{31}\,b^{20}\,d^6-240386048\,A^3\,a^{33}\,b^{18}\,d^6-14745600\,A^3\,a^{21}\,b^{30}\,d^6+177668096\,A^3\,a^{37}\,b^{14}\,d^6+73465856\,A^3\,a^{39}\,b^{12}\,d^6+3145728\,A^3\,a^{41}\,b^{10}\,d^6-3145728\,A^3\,a^{43}\,b^8\,d^6+18874368\,B^3\,a^{24}\,b^{27}\,d^6+113246208\,B^3\,a^{26}\,b^{25}\,d^6+277872640\,B^3\,a^{28}\,b^{23}\,d^6+359661568\,B^3\,a^{30}\,b^{21}\,d^6+286261248\,B^3\,a^{32}\,b^{19}\,d^6+212860928\,B^3\,a^{34}\,b^{17}\,d^6+212860928\,B^3\,a^{36}\,b^{15}\,d^6+173015040\,B^3\,a^{38}\,b^{13}\,d^6+76546048\,B^3\,a^{40}\,b^{11}\,d^6+13631488\,B^3\,a^{42}\,b^9\,d^6+\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)}{8}+\frac{\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\left(480247808\,A\,a^{40}\,b^{14}\,d^8-297795584\,A\,a^{26}\,b^{28}\,d^8-1243611136\,A\,a^{28}\,b^{26}\,d^8-2990538752\,A\,a^{30}\,b^{24}\,d^8-4508876800\,A\,a^{32}\,b^{22}\,d^8-4286578688\,A\,a^{34}\,b^{20}\,d^8-2319450112\,A\,a^{36}\,b^{18}\,d^8-310378496\,A\,a^{38}\,b^{16}\,d^8-31457280\,A\,a^{24}\,b^{30}\,d^8+356515840\,A\,a^{42}\,b^{12}\,d^8+106954752\,A\,a^{44}\,b^{10}\,d^8+12582912\,A\,a^{46}\,b^8\,d^8+25165824\,B\,a^{25}\,b^{29}\,d^8+251658240\,B\,a^{27}\,b^{27}\,d^8+1124073472\,B\,a^{29}\,b^{25}\,d^8+2952790016\,B\,a^{31}\,b^{23}\,d^8+5049942016\,B\,a^{33}\,b^{21}\,d^8+5872025600\,B\,a^{35}\,b^{19}\,d^8+4697620480\,B\,a^{37}\,b^{17}\,d^8+2550136832\,B\,a^{39}\,b^{15}\,d^8+897581056\,B\,a^{41}\,b^{13}\,d^8+184549376\,B\,a^{43}\,b^{11}\,d^8+16777216\,B\,a^{45}\,b^9\,d^8-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\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)}{64\,a^7\,d}\right)}{8\,a^7\,d}\right)\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}}{8\,a^7\,d}-56623104\,A\,B^2\,a^{23}\,b^{28}\,d^6-346030080\,A\,B^2\,a^{25}\,b^{26}\,d^6-918552576\,A\,B^2\,a^{27}\,b^{24}\,d^6-1487929344\,A\,B^2\,a^{29}\,b^{22}\,d^6-1871708160\,A\,B^2\,a^{31}\,b^{20}\,d^6-2091909120\,A\,B^2\,a^{33}\,b^{18}\,d^6-1871708160\,A\,B^2\,a^{35}\,b^{16}\,d^6-1091567616\,A\,B^2\,a^{37}\,b^{14}\,d^6-324009984\,A\,B^2\,a^{39}\,b^{12}\,d^6-15728640\,A\,B^2\,a^{41}\,b^{10}\,d^6+9437184\,A\,B^2\,a^{43}\,b^8\,d^6+53084160\,A^2\,B\,a^{22}\,b^{29}\,d^6+325582848\,A^2\,B\,a^{24}\,b^{27}\,d^6+894959616\,A^2\,B\,a^{26}\,b^{25}\,d^6+1566572544\,A^2\,B\,a^{28}\,b^{23}\,d^6+2108424192\,A^2\,B\,a^{30}\,b^{21}\,d^6+2224029696\,A^2\,B\,a^{32}\,b^{19}\,d^6+1552416768\,A^2\,B\,a^{34}\,b^{17}\,d^6+446693376\,A^2\,B\,a^{36}\,b^{15}\,d^6-189136896\,A^2\,B\,a^{38}\,b^{13}\,d^6-184025088\,A^2\,B\,a^{40}\,b^{11}\,d^6-40894464\,A^2\,B\,a^{42}\,b^9\,d^6\right)}{8\,a^7\,d}\right)\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}}{a^7\,d}-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{41}\,b^8\,d^5+96468992\,A^4\,a^{39}\,b^{10}\,d^5+92536832\,A^4\,a^{37}\,b^{12}\,d^5+1572864\,A^4\,a^{35}\,b^{14}\,d^5+238551040\,A^4\,a^{33}\,b^{16}\,d^5+767033344\,A^4\,a^{31}\,b^{18}\,d^5+704643072\,A^4\,a^{29}\,b^{20}\,d^5-37224448\,A^4\,a^{27}\,b^{22}\,d^5-465043456\,A^4\,a^{25}\,b^{24}\,d^5-290979840\,A^4\,a^{23}\,b^{26}\,d^5-58982400\,A^4\,a^{21}\,b^{28}\,d^5+117440512\,A^3\,B\,a^{40}\,b^9\,d^5+425721856\,A^3\,B\,a^{38}\,b^{11}\,d^5+22020096\,A^3\,B\,a^{36}\,b^{13}\,d^5-1901068288\,A^3\,B\,a^{34}\,b^{15}\,d^5-2825912320\,A^3\,B\,a^{32}\,b^{17}\,d^5+154140672\,A^3\,B\,a^{30}\,b^{19}\,d^5+4059037696\,A^3\,B\,a^{28}\,b^{21}\,d^5+4279238656\,A^3\,B\,a^{26}\,b^{23}\,d^5+1915748352\,A^3\,B\,a^{24}\,b^{25}\,d^5+330301440\,A^3\,B\,a^{22}\,b^{27}\,d^5+318767104\,A^2\,B^2\,a^{39}\,b^{10}\,d^5+1694236672\,A^2\,B^2\,a^{37}\,b^{12}\,d^5+2993160192\,A^2\,B^2\,a^{35}\,b^{14}\,d^5+289931264\,A^2\,B^2\,a^{33}\,b^{16}\,d^5-6404177920\,A^2\,B^2\,a^{31}\,b^{18}\,d^5-10041163776\,A^2\,B^2\,a^{29}\,b^{20}\,d^5-6984040448\,A^2\,B^2\,a^{27}\,b^{22}\,d^5-2202533888\,A^2\,B^2\,a^{25}\,b^{24}\,d^5-124256256\,A^2\,B^2\,a^{23}\,b^{26}\,d^5+58982400\,A^2\,B^2\,a^{21}\,b^{28}\,d^5-50331648\,A\,B^3\,a^{40}\,b^9\,d^5-56623104\,A\,B^3\,a^{38}\,b^{11}\,d^5+918552576\,A\,B^3\,a^{36}\,b^{13}\,d^5+3787456512\,A\,B^3\,a^{34}\,b^{15}\,d^5+6606028800\,A\,B^3\,a^{32}\,b^{17}\,d^5+5989466112\,A\,B^3\,a^{30}\,b^{19}\,d^5+2554331136\,A\,B^3\,a^{28}\,b^{21}\,d^5+37748736\,A\,B^3\,a^{26}\,b^{23}\,d^5-364904448\,A\,B^3\,a^{24}\,b^{25}\,d^5-94371840\,A\,B^3\,a^{22}\,b^{27}\,d^5+8388608\,B^4\,a^{41}\,b^8\,d^5+20971520\,B^4\,a^{39}\,b^{10}\,d^5-50331648\,B^4\,a^{37}\,b^{12}\,d^5-234881024\,B^4\,a^{35}\,b^{14}\,d^5-234881024\,B^4\,a^{33}\,b^{16}\,d^5+176160768\,B^4\,a^{31}\,b^{18}\,d^5+587202560\,B^4\,a^{29}\,b^{20}\,d^5+536870912\,B^4\,a^{27}\,b^{22}\,d^5+226492416\,B^4\,a^{25}\,b^{24}\,d^5+37748736\,B^4\,a^{23}\,b^{26}\,d^5\right)}{8}+\frac{\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\left(96731136\,A^3\,a^{35}\,b^{16}\,d^6-87490560\,A^3\,a^{23}\,b^{28}\,d^6-236191744\,A^3\,a^{25}\,b^{26}\,d^6-417071104\,A^3\,a^{27}\,b^{24}\,d^6-561905664\,A^3\,a^{29}\,b^{22}\,d^6-534904832\,A^3\,a^{31}\,b^{20}\,d^6-240386048\,A^3\,a^{33}\,b^{18}\,d^6-14745600\,A^3\,a^{21}\,b^{30}\,d^6+177668096\,A^3\,a^{37}\,b^{14}\,d^6+73465856\,A^3\,a^{39}\,b^{12}\,d^6+3145728\,A^3\,a^{41}\,b^{10}\,d^6-3145728\,A^3\,a^{43}\,b^8\,d^6+18874368\,B^3\,a^{24}\,b^{27}\,d^6+113246208\,B^3\,a^{26}\,b^{25}\,d^6+277872640\,B^3\,a^{28}\,b^{23}\,d^6+359661568\,B^3\,a^{30}\,b^{21}\,d^6+286261248\,B^3\,a^{32}\,b^{19}\,d^6+212860928\,B^3\,a^{34}\,b^{17}\,d^6+212860928\,B^3\,a^{36}\,b^{15}\,d^6+173015040\,B^3\,a^{38}\,b^{13}\,d^6+76546048\,B^3\,a^{40}\,b^{11}\,d^6+13631488\,B^3\,a^{42}\,b^9\,d^6-\frac{\left(\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{44}\,b^8\,d^7+721420288\,A^2\,a^{42}\,b^{10}\,d^7+621805568\,A^2\,a^{40}\,b^{12}\,d^7-2943352832\,A^2\,a^{38}\,b^{14}\,d^7-8887730176\,A^2\,a^{36}\,b^{16}\,d^7-9307160576\,A^2\,a^{34}\,b^{18}\,d^7-337641472\,A^2\,a^{32}\,b^{20}\,d^7+9560915968\,A^2\,a^{30}\,b^{22}\,d^7+11144265728\,A^2\,a^{28}\,b^{24}\,d^7+6295650304\,A^2\,a^{26}\,b^{26}\,d^7+1871708160\,A^2\,a^{24}\,b^{28}\,d^7+235929600\,A^2\,a^{22}\,b^{30}\,d^7+671088640\,A\,B\,a^{43}\,b^9\,d^7+4588568576\,A\,B\,a^{41}\,b^{11}\,d^7+12775849984\,A\,B\,a^{39}\,b^{13}\,d^7+16944988160\,A\,B\,a^{37}\,b^{15}\,d^7+5402263552\,A\,B\,a^{35}\,b^{17}\,d^7-17028874240\,A\,B\,a^{33}\,b^{19}\,d^7-30182211584\,A\,B\,a^{31}\,b^{21}\,d^7-24930942976\,A\,B\,a^{29}\,b^{23}\,d^7-11911823360\,A\,B\,a^{27}\,b^{25}\,d^7-3196059648\,A\,B\,a^{25}\,b^{27}\,d^7-377487360\,A\,B\,a^{23}\,b^{29}\,d^7-83886080\,B^2\,a^{44}\,b^8\,d^7-218103808\,B^2\,a^{42}\,b^{10}\,d^7+1124073472\,B^2\,a^{40}\,b^{12}\,d^7+7079985152\,B^2\,a^{38}\,b^{14}\,d^7+17381195776\,B^2\,a^{36}\,b^{16}\,d^7+24897388544\,B^2\,a^{34}\,b^{18}\,d^7+23018340352\,B^2\,a^{32}\,b^{20}\,d^7+14126415872\,B^2\,a^{30}\,b^{22}\,d^7+5653921792\,B^2\,a^{28}\,b^{24}\,d^7+1358954496\,B^2\,a^{26}\,b^{26}\,d^7+150994944\,B^2\,a^{24}\,b^{28}\,d^7\right)}{8}-\frac{\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\left(480247808\,A\,a^{40}\,b^{14}\,d^8-297795584\,A\,a^{26}\,b^{28}\,d^8-1243611136\,A\,a^{28}\,b^{26}\,d^8-2990538752\,A\,a^{30}\,b^{24}\,d^8-4508876800\,A\,a^{32}\,b^{22}\,d^8-4286578688\,A\,a^{34}\,b^{20}\,d^8-2319450112\,A\,a^{36}\,b^{18}\,d^8-310378496\,A\,a^{38}\,b^{16}\,d^8-31457280\,A\,a^{24}\,b^{30}\,d^8+356515840\,A\,a^{42}\,b^{12}\,d^8+106954752\,A\,a^{44}\,b^{10}\,d^8+12582912\,A\,a^{46}\,b^8\,d^8+25165824\,B\,a^{25}\,b^{29}\,d^8+251658240\,B\,a^{27}\,b^{27}\,d^8+1124073472\,B\,a^{29}\,b^{25}\,d^8+2952790016\,B\,a^{31}\,b^{23}\,d^8+5049942016\,B\,a^{33}\,b^{21}\,d^8+5872025600\,B\,a^{35}\,b^{19}\,d^8+4697620480\,B\,a^{37}\,b^{17}\,d^8+2550136832\,B\,a^{39}\,b^{15}\,d^8+897581056\,B\,a^{41}\,b^{13}\,d^8+184549376\,B\,a^{43}\,b^{11}\,d^8+16777216\,B\,a^{45}\,b^9\,d^8+\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,\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)}{64\,a^7\,d}\right)}{8\,a^7\,d}\right)\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}}{8\,a^7\,d}-56623104\,A\,B^2\,a^{23}\,b^{28}\,d^6-346030080\,A\,B^2\,a^{25}\,b^{26}\,d^6-918552576\,A\,B^2\,a^{27}\,b^{24}\,d^6-1487929344\,A\,B^2\,a^{29}\,b^{22}\,d^6-1871708160\,A\,B^2\,a^{31}\,b^{20}\,d^6-2091909120\,A\,B^2\,a^{33}\,b^{18}\,d^6-1871708160\,A\,B^2\,a^{35}\,b^{16}\,d^6-1091567616\,A\,B^2\,a^{37}\,b^{14}\,d^6-324009984\,A\,B^2\,a^{39}\,b^{12}\,d^6-15728640\,A\,B^2\,a^{41}\,b^{10}\,d^6+9437184\,A\,B^2\,a^{43}\,b^8\,d^6+53084160\,A^2\,B\,a^{22}\,b^{29}\,d^6+325582848\,A^2\,B\,a^{24}\,b^{27}\,d^6+894959616\,A^2\,B\,a^{26}\,b^{25}\,d^6+1566572544\,A^2\,B\,a^{28}\,b^{23}\,d^6+2108424192\,A^2\,B\,a^{30}\,b^{21}\,d^6+2224029696\,A^2\,B\,a^{32}\,b^{19}\,d^6+1552416768\,A^2\,B\,a^{34}\,b^{17}\,d^6+446693376\,A^2\,B\,a^{36}\,b^{15}\,d^6-189136896\,A^2\,B\,a^{38}\,b^{13}\,d^6-184025088\,A^2\,B\,a^{40}\,b^{11}\,d^6-40894464\,A^2\,B\,a^{42}\,b^9\,d^6\right)}{8\,a^7\,d}\right)\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}}{a^7\,d}-94371840\,A\,B^4\,a^{22}\,b^{26}\,d^4-541065216\,A\,B^4\,a^{24}\,b^{24}\,d^4-1161822208\,A\,B^4\,a^{26}\,b^{22}\,d^4-910163968\,A\,B^4\,a^{28}\,b^{20}\,d^4+528482304\,A\,B^4\,a^{30}\,b^{18}\,d^4+1614807040\,A\,B^4\,a^{32}\,b^{16}\,d^4+1262485504\,A\,B^4\,a^{34}\,b^{14}\,d^4+390070272\,A\,B^4\,a^{36}\,b^{12}\,d^4+2097152\,A\,B^4\,a^{38}\,b^{10}\,d^4-16777216\,A\,B^4\,a^{40}\,b^8\,d^4+58982400\,A^4\,B\,a^{21}\,b^{27}\,d^4+255590400\,A^4\,B\,a^{23}\,b^{25}\,d^4+179568640\,A^4\,B\,a^{25}\,b^{23}\,d^4-945029120\,A^4\,B\,a^{27}\,b^{21}\,d^4-2559836160\,A^4\,B\,a^{29}\,b^{19}\,d^4-2798387200\,A^4\,B\,a^{31}\,b^{17}\,d^4-1422131200\,A^4\,B\,a^{33}\,b^{15}\,d^4-161218560\,A^4\,B\,a^{35}\,b^{13}\,d^4+136314880\,A^4\,B\,a^{37}\,b^{11}\,d^4+41943040\,A^4\,B\,a^{39}\,b^9\,d^4+58982400\,A^2\,B^3\,a^{21}\,b^{27}\,d^4+293339136\,A^2\,B^3\,a^{23}\,b^{25}\,d^4+418643968\,A^2\,B^3\,a^{25}\,b^{23}\,d^4-328466432\,A^2\,B^3\,a^{27}\,b^{21}\,d^4-1767112704\,A^2\,B^3\,a^{29}\,b^{19}\,d^4-2357985280\,A^2\,B^3\,a^{31}\,b^{17}\,d^4-1510211584\,A^2\,B^3\,a^{33}\,b^{15}\,d^4-425459712\,A^2\,B^3\,a^{35}\,b^{13}\,d^4-2097152\,A^2\,B^3\,a^{37}\,b^{11}\,d^4+16777216\,A^2\,B^3\,a^{39}\,b^9\,d^4-35389440\,A^3\,B^2\,a^{22}\,b^{26}\,d^4-159645696\,A^3\,B^2\,a^{24}\,b^{24}\,d^4-143392768\,A^3\,B^2\,a^{26}\,b^{22}\,d^4+493617152\,A^3\,B^2\,a^{28}\,b^{20}\,d^4+1491861504\,A^3\,B^2\,a^{30}\,b^{18}\,d^4+1752432640\,A^3\,B^2\,a^{32}\,b^{16}\,d^4+1014759424\,A^3\,B^2\,a^{34}\,b^{14}\,d^4+228851712\,A^3\,B^2\,a^{36}\,b^{12}\,d^4-29360128\,A^3\,B^2\,a^{38}\,b^{10}\,d^4-16777216\,A^3\,B^2\,a^{40}\,b^8\,d^4}\right)\,\sqrt{64\,A^2\,a^{11}-240\,A^2\,a^9\,b^2+225\,A^2\,a^7\,b^4+192\,A\,B\,a^{10}\,b-360\,A\,B\,a^8\,b^3+144\,B^2\,a^9\,b^2}\,1{}\mathrm{i}}{4\,a^7\,d}","Not used",1,"((2*(A*b^4 - B*a*b^3))/(a*(a^2 + b^2)) + ((a + b*tan(c + d*x))^2*(15*A*b^4 + 7*A*a^2*b^2 - 12*B*a*b^3 - 4*B*a^3*b))/(4*a^3*(a^2 + b^2)) - ((a + b*tan(c + d*x))*(25*A*b^4 + 9*A*a^2*b^2 - 20*B*a*b^3 - 4*B*a^3*b))/(4*a^2*(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)) + atan((((a + b*tan(c + d*x))^(1/2)*(704643072*A^4*a^29*b^20*d^5 - 290979840*A^4*a^23*b^26*d^5 - 465043456*A^4*a^25*b^24*d^5 - 37224448*A^4*a^27*b^22*d^5 - 58982400*A^4*a^21*b^28*d^5 + 767033344*A^4*a^31*b^18*d^5 + 238551040*A^4*a^33*b^16*d^5 + 1572864*A^4*a^35*b^14*d^5 + 92536832*A^4*a^37*b^12*d^5 + 96468992*A^4*a^39*b^10*d^5 + 25165824*A^4*a^41*b^8*d^5 + 37748736*B^4*a^23*b^26*d^5 + 226492416*B^4*a^25*b^24*d^5 + 536870912*B^4*a^27*b^22*d^5 + 587202560*B^4*a^29*b^20*d^5 + 176160768*B^4*a^31*b^18*d^5 - 234881024*B^4*a^33*b^16*d^5 - 234881024*B^4*a^35*b^14*d^5 - 50331648*B^4*a^37*b^12*d^5 + 20971520*B^4*a^39*b^10*d^5 + 8388608*B^4*a^41*b^8*d^5 - 94371840*A*B^3*a^22*b^27*d^5 - 364904448*A*B^3*a^24*b^25*d^5 + 37748736*A*B^3*a^26*b^23*d^5 + 2554331136*A*B^3*a^28*b^21*d^5 + 5989466112*A*B^3*a^30*b^19*d^5 + 6606028800*A*B^3*a^32*b^17*d^5 + 3787456512*A*B^3*a^34*b^15*d^5 + 918552576*A*B^3*a^36*b^13*d^5 - 56623104*A*B^3*a^38*b^11*d^5 - 50331648*A*B^3*a^40*b^9*d^5 + 330301440*A^3*B*a^22*b^27*d^5 + 1915748352*A^3*B*a^24*b^25*d^5 + 4279238656*A^3*B*a^26*b^23*d^5 + 4059037696*A^3*B*a^28*b^21*d^5 + 154140672*A^3*B*a^30*b^19*d^5 - 2825912320*A^3*B*a^32*b^17*d^5 - 1901068288*A^3*B*a^34*b^15*d^5 + 22020096*A^3*B*a^36*b^13*d^5 + 425721856*A^3*B*a^38*b^11*d^5 + 117440512*A^3*B*a^40*b^9*d^5 + 58982400*A^2*B^2*a^21*b^28*d^5 - 124256256*A^2*B^2*a^23*b^26*d^5 - 2202533888*A^2*B^2*a^25*b^24*d^5 - 6984040448*A^2*B^2*a^27*b^22*d^5 - 10041163776*A^2*B^2*a^29*b^20*d^5 - 6404177920*A^2*B^2*a^31*b^18*d^5 + 289931264*A^2*B^2*a^33*b^16*d^5 + 2993160192*A^2*B^2*a^35*b^14*d^5 + 1694236672*A^2*B^2*a^37*b^12*d^5 + 318767104*A^2*B^2*a^39*b^10*d^5) + (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(773849088*A^3*a^35*b^16*d^6 - 117964800*A^3*a^21*b^30*d^6 - 699924480*A^3*a^23*b^28*d^6 - 1889533952*A^3*a^25*b^26*d^6 - 3336568832*A^3*a^27*b^24*d^6 - 4495245312*A^3*a^29*b^22*d^6 - 4279238656*A^3*a^31*b^20*d^6 - 1923088384*A^3*a^33*b^18*d^6 - ((a + b*tan(c + d*x))^(1/2)*(235929600*A^2*a^22*b^30*d^7 + 1871708160*A^2*a^24*b^28*d^7 + 6295650304*A^2*a^26*b^26*d^7 + 11144265728*A^2*a^28*b^24*d^7 + 9560915968*A^2*a^30*b^22*d^7 - 337641472*A^2*a^32*b^20*d^7 - 9307160576*A^2*a^34*b^18*d^7 - 8887730176*A^2*a^36*b^16*d^7 - 2943352832*A^2*a^38*b^14*d^7 + 621805568*A^2*a^40*b^12*d^7 + 721420288*A^2*a^42*b^10*d^7 + 150994944*A^2*a^44*b^8*d^7 + 150994944*B^2*a^24*b^28*d^7 + 1358954496*B^2*a^26*b^26*d^7 + 5653921792*B^2*a^28*b^24*d^7 + 14126415872*B^2*a^30*b^22*d^7 + 23018340352*B^2*a^32*b^20*d^7 + 24897388544*B^2*a^34*b^18*d^7 + 17381195776*B^2*a^36*b^16*d^7 + 7079985152*B^2*a^38*b^14*d^7 + 1124073472*B^2*a^40*b^12*d^7 - 218103808*B^2*a^42*b^10*d^7 - 83886080*B^2*a^44*b^8*d^7 - 377487360*A*B*a^23*b^29*d^7 - 3196059648*A*B*a^25*b^27*d^7 - 11911823360*A*B*a^27*b^25*d^7 - 24930942976*A*B*a^29*b^23*d^7 - 30182211584*A*B*a^31*b^21*d^7 - 17028874240*A*B*a^33*b^19*d^7 + 5402263552*A*B*a^35*b^17*d^7 + 16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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) - 251658240*A*a^24*b^30*d^8 - 2382364672*A*a^26*b^28*d^8 - 9948889088*A*a^28*b^26*d^8 - 23924310016*A*a^30*b^24*d^8 - 36071014400*A*a^32*b^22*d^8 - 34292629504*A*a^34*b^20*d^8 - 18555600896*A*a^36*b^18*d^8 - 2483027968*A*a^38*b^16*d^8 + 3841982464*A*a^40*b^14*d^8 + 2852126720*A*a^42*b^12*d^8 + 855638016*A*a^44*b^10*d^8 + 100663296*A*a^46*b^8*d^8 + 201326592*B*a^25*b^29*d^8 + 2013265920*B*a^27*b^27*d^8 + 8992587776*B*a^29*b^25*d^8 + 23622320128*B*a^31*b^23*d^8 + 40399536128*B*a^33*b^21*d^8 + 46976204800*B*a^35*b^19*d^8 + 37580963840*B*a^37*b^17*d^8 + 20401094656*B*a^39*b^15*d^8 + 7180648448*B*a^41*b^13*d^8 + 1476395008*B*a^43*b^11*d^8 + 134217728*B*a^45*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 1421344768*A^3*a^37*b^14*d^6 + 587726848*A^3*a^39*b^12*d^6 + 25165824*A^3*a^41*b^10*d^6 - 25165824*A^3*a^43*b^8*d^6 + 150994944*B^3*a^24*b^27*d^6 + 905969664*B^3*a^26*b^25*d^6 + 2222981120*B^3*a^28*b^23*d^6 + 2877292544*B^3*a^30*b^21*d^6 + 2290089984*B^3*a^32*b^19*d^6 + 1702887424*B^3*a^34*b^17*d^6 + 1702887424*B^3*a^36*b^15*d^6 + 1384120320*B^3*a^38*b^13*d^6 + 612368384*B^3*a^40*b^11*d^6 + 109051904*B^3*a^42*b^9*d^6 - 452984832*A*B^2*a^23*b^28*d^6 - 2768240640*A*B^2*a^25*b^26*d^6 - 7348420608*A*B^2*a^27*b^24*d^6 - 11903434752*A*B^2*a^29*b^22*d^6 - 14973665280*A*B^2*a^31*b^20*d^6 - 16735272960*A*B^2*a^33*b^18*d^6 - 14973665280*A*B^2*a^35*b^16*d^6 - 8732540928*A*B^2*a^37*b^14*d^6 - 2592079872*A*B^2*a^39*b^12*d^6 - 125829120*A*B^2*a^41*b^10*d^6 + 75497472*A*B^2*a^43*b^8*d^6 + 424673280*A^2*B*a^22*b^29*d^6 + 2604662784*A^2*B*a^24*b^27*d^6 + 7159676928*A^2*B*a^26*b^25*d^6 + 12532580352*A^2*B*a^28*b^23*d^6 + 16867393536*A^2*B*a^30*b^21*d^6 + 17792237568*A^2*B*a^32*b^19*d^6 + 12419334144*A^2*B*a^34*b^17*d^6 + 3573547008*A^2*B*a^36*b^15*d^6 - 1513095168*A^2*B*a^38*b^13*d^6 - 1472200704*A^2*B*a^40*b^11*d^6 - 327155712*A^2*B*a^42*b^9*d^6))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i + ((a + b*tan(c + d*x))^(1/2)*(704643072*A^4*a^29*b^20*d^5 - 290979840*A^4*a^23*b^26*d^5 - 465043456*A^4*a^25*b^24*d^5 - 37224448*A^4*a^27*b^22*d^5 - 58982400*A^4*a^21*b^28*d^5 + 767033344*A^4*a^31*b^18*d^5 + 238551040*A^4*a^33*b^16*d^5 + 1572864*A^4*a^35*b^14*d^5 + 92536832*A^4*a^37*b^12*d^5 + 96468992*A^4*a^39*b^10*d^5 + 25165824*A^4*a^41*b^8*d^5 + 37748736*B^4*a^23*b^26*d^5 + 226492416*B^4*a^25*b^24*d^5 + 536870912*B^4*a^27*b^22*d^5 + 587202560*B^4*a^29*b^20*d^5 + 176160768*B^4*a^31*b^18*d^5 - 234881024*B^4*a^33*b^16*d^5 - 234881024*B^4*a^35*b^14*d^5 - 50331648*B^4*a^37*b^12*d^5 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1694236672*A^2*B^2*a^37*b^12*d^5 + 318767104*A^2*B^2*a^39*b^10*d^5) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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)*(235929600*A^2*a^22*b^30*d^7 + 1871708160*A^2*a^24*b^28*d^7 + 6295650304*A^2*a^26*b^26*d^7 + 11144265728*A^2*a^28*b^24*d^7 + 9560915968*A^2*a^30*b^22*d^7 - 337641472*A^2*a^32*b^20*d^7 - 9307160576*A^2*a^34*b^18*d^7 - 8887730176*A^2*a^36*b^16*d^7 - 2943352832*A^2*a^38*b^14*d^7 + 621805568*A^2*a^40*b^12*d^7 + 721420288*A^2*a^42*b^10*d^7 + 150994944*A^2*a^44*b^8*d^7 + 150994944*B^2*a^24*b^28*d^7 + 1358954496*B^2*a^26*b^26*d^7 + 5653921792*B^2*a^28*b^24*d^7 + 14126415872*B^2*a^30*b^22*d^7 + 23018340352*B^2*a^32*b^20*d^7 + 24897388544*B^2*a^34*b^18*d^7 + 17381195776*B^2*a^36*b^16*d^7 + 7079985152*B^2*a^38*b^14*d^7 + 1124073472*B^2*a^40*b^12*d^7 - 218103808*B^2*a^42*b^10*d^7 - 83886080*B^2*a^44*b^8*d^7 - 377487360*A*B*a^23*b^29*d^7 - 3196059648*A*B*a^25*b^27*d^7 - 11911823360*A*B*a^27*b^25*d^7 - 24930942976*A*B*a^29*b^23*d^7 - 30182211584*A*B*a^31*b^21*d^7 - 17028874240*A*B*a^33*b^19*d^7 + 5402263552*A*B*a^35*b^17*d^7 + 16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7) + (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(3841982464*A*a^40*b^14*d^8 - 251658240*A*a^24*b^30*d^8 - 2382364672*A*a^26*b^28*d^8 - 9948889088*A*a^28*b^26*d^8 - 23924310016*A*a^30*b^24*d^8 - 36071014400*A*a^32*b^22*d^8 - 34292629504*A*a^34*b^20*d^8 - 18555600896*A*a^36*b^18*d^8 - 2483027968*A*a^38*b^16*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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) + 2852126720*A*a^42*b^12*d^8 + 855638016*A*a^44*b^10*d^8 + 100663296*A*a^46*b^8*d^8 + 201326592*B*a^25*b^29*d^8 + 2013265920*B*a^27*b^27*d^8 + 8992587776*B*a^29*b^25*d^8 + 23622320128*B*a^31*b^23*d^8 + 40399536128*B*a^33*b^21*d^8 + 46976204800*B*a^35*b^19*d^8 + 37580963840*B*a^37*b^17*d^8 + 20401094656*B*a^39*b^15*d^8 + 7180648448*B*a^41*b^13*d^8 + 1476395008*B*a^43*b^11*d^8 + 134217728*B*a^45*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^21*b^30*d^6 - 699924480*A^3*a^23*b^28*d^6 - 1889533952*A^3*a^25*b^26*d^6 - 3336568832*A^3*a^27*b^24*d^6 - 4495245312*A^3*a^29*b^22*d^6 - 4279238656*A^3*a^31*b^20*d^6 - 1923088384*A^3*a^33*b^18*d^6 + 773849088*A^3*a^35*b^16*d^6 + 1421344768*A^3*a^37*b^14*d^6 + 587726848*A^3*a^39*b^12*d^6 + 25165824*A^3*a^41*b^10*d^6 - 25165824*A^3*a^43*b^8*d^6 + 150994944*B^3*a^24*b^27*d^6 + 905969664*B^3*a^26*b^25*d^6 + 2222981120*B^3*a^28*b^23*d^6 + 2877292544*B^3*a^30*b^21*d^6 + 2290089984*B^3*a^32*b^19*d^6 + 1702887424*B^3*a^34*b^17*d^6 + 1702887424*B^3*a^36*b^15*d^6 + 1384120320*B^3*a^38*b^13*d^6 + 612368384*B^3*a^40*b^11*d^6 + 109051904*B^3*a^42*b^9*d^6 - 452984832*A*B^2*a^23*b^28*d^6 - 2768240640*A*B^2*a^25*b^26*d^6 - 7348420608*A*B^2*a^27*b^24*d^6 - 11903434752*A*B^2*a^29*b^22*d^6 - 14973665280*A*B^2*a^31*b^20*d^6 - 16735272960*A*B^2*a^33*b^18*d^6 - 14973665280*A*B^2*a^35*b^16*d^6 - 8732540928*A*B^2*a^37*b^14*d^6 - 2592079872*A*B^2*a^39*b^12*d^6 - 125829120*A*B^2*a^41*b^10*d^6 + 75497472*A*B^2*a^43*b^8*d^6 + 424673280*A^2*B*a^22*b^29*d^6 + 2604662784*A^2*B*a^24*b^27*d^6 + 7159676928*A^2*B*a^26*b^25*d^6 + 12532580352*A^2*B*a^28*b^23*d^6 + 16867393536*A^2*B*a^30*b^21*d^6 + 17792237568*A^2*B*a^32*b^19*d^6 + 12419334144*A^2*B*a^34*b^17*d^6 + 3573547008*A^2*B*a^36*b^15*d^6 - 1513095168*A^2*B*a^38*b^13*d^6 - 1472200704*A^2*B*a^40*b^11*d^6 - 327155712*A^2*B*a^42*b^9*d^6))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*1i)/(((a + b*tan(c + d*x))^(1/2)*(704643072*A^4*a^29*b^20*d^5 - 290979840*A^4*a^23*b^26*d^5 - 465043456*A^4*a^25*b^24*d^5 - 37224448*A^4*a^27*b^22*d^5 - 58982400*A^4*a^21*b^28*d^5 + 767033344*A^4*a^31*b^18*d^5 + 238551040*A^4*a^33*b^16*d^5 + 1572864*A^4*a^35*b^14*d^5 + 92536832*A^4*a^37*b^12*d^5 + 96468992*A^4*a^39*b^10*d^5 + 25165824*A^4*a^41*b^8*d^5 + 37748736*B^4*a^23*b^26*d^5 + 226492416*B^4*a^25*b^24*d^5 + 536870912*B^4*a^27*b^22*d^5 + 587202560*B^4*a^29*b^20*d^5 + 176160768*B^4*a^31*b^18*d^5 - 234881024*B^4*a^33*b^16*d^5 - 234881024*B^4*a^35*b^14*d^5 - 50331648*B^4*a^37*b^12*d^5 + 20971520*B^4*a^39*b^10*d^5 + 8388608*B^4*a^41*b^8*d^5 - 94371840*A*B^3*a^22*b^27*d^5 - 364904448*A*B^3*a^24*b^25*d^5 + 37748736*A*B^3*a^26*b^23*d^5 + 2554331136*A*B^3*a^28*b^21*d^5 + 5989466112*A*B^3*a^30*b^19*d^5 + 6606028800*A*B^3*a^32*b^17*d^5 + 3787456512*A*B^3*a^34*b^15*d^5 + 918552576*A*B^3*a^36*b^13*d^5 - 56623104*A*B^3*a^38*b^11*d^5 - 50331648*A*B^3*a^40*b^9*d^5 + 330301440*A^3*B*a^22*b^27*d^5 + 1915748352*A^3*B*a^24*b^25*d^5 + 4279238656*A^3*B*a^26*b^23*d^5 + 4059037696*A^3*B*a^28*b^21*d^5 + 154140672*A^3*B*a^30*b^19*d^5 - 2825912320*A^3*B*a^32*b^17*d^5 - 1901068288*A^3*B*a^34*b^15*d^5 + 22020096*A^3*B*a^36*b^13*d^5 + 425721856*A^3*B*a^38*b^11*d^5 + 117440512*A^3*B*a^40*b^9*d^5 + 58982400*A^2*B^2*a^21*b^28*d^5 - 124256256*A^2*B^2*a^23*b^26*d^5 - 2202533888*A^2*B^2*a^25*b^24*d^5 - 6984040448*A^2*B^2*a^27*b^22*d^5 - 10041163776*A^2*B^2*a^29*b^20*d^5 - 6404177920*A^2*B^2*a^31*b^18*d^5 + 289931264*A^2*B^2*a^33*b^16*d^5 + 2993160192*A^2*B^2*a^35*b^14*d^5 + 1694236672*A^2*B^2*a^37*b^12*d^5 + 318767104*A^2*B^2*a^39*b^10*d^5) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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)*(235929600*A^2*a^22*b^30*d^7 + 1871708160*A^2*a^24*b^28*d^7 + 6295650304*A^2*a^26*b^26*d^7 + 11144265728*A^2*a^28*b^24*d^7 + 9560915968*A^2*a^30*b^22*d^7 - 337641472*A^2*a^32*b^20*d^7 - 9307160576*A^2*a^34*b^18*d^7 - 8887730176*A^2*a^36*b^16*d^7 - 2943352832*A^2*a^38*b^14*d^7 + 621805568*A^2*a^40*b^12*d^7 + 721420288*A^2*a^42*b^10*d^7 + 150994944*A^2*a^44*b^8*d^7 + 150994944*B^2*a^24*b^28*d^7 + 1358954496*B^2*a^26*b^26*d^7 + 5653921792*B^2*a^28*b^24*d^7 + 14126415872*B^2*a^30*b^22*d^7 + 23018340352*B^2*a^32*b^20*d^7 + 24897388544*B^2*a^34*b^18*d^7 + 17381195776*B^2*a^36*b^16*d^7 + 7079985152*B^2*a^38*b^14*d^7 + 1124073472*B^2*a^40*b^12*d^7 - 218103808*B^2*a^42*b^10*d^7 - 83886080*B^2*a^44*b^8*d^7 - 377487360*A*B*a^23*b^29*d^7 - 3196059648*A*B*a^25*b^27*d^7 - 11911823360*A*B*a^27*b^25*d^7 - 24930942976*A*B*a^29*b^23*d^7 - 30182211584*A*B*a^31*b^21*d^7 - 17028874240*A*B*a^33*b^19*d^7 + 5402263552*A*B*a^35*b^17*d^7 + 16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7) + (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(3841982464*A*a^40*b^14*d^8 - 251658240*A*a^24*b^30*d^8 - 2382364672*A*a^26*b^28*d^8 - 9948889088*A*a^28*b^26*d^8 - 23924310016*A*a^30*b^24*d^8 - 36071014400*A*a^32*b^22*d^8 - 34292629504*A*a^34*b^20*d^8 - 18555600896*A*a^36*b^18*d^8 - 2483027968*A*a^38*b^16*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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) + 2852126720*A*a^42*b^12*d^8 + 855638016*A*a^44*b^10*d^8 + 100663296*A*a^46*b^8*d^8 + 201326592*B*a^25*b^29*d^8 + 2013265920*B*a^27*b^27*d^8 + 8992587776*B*a^29*b^25*d^8 + 23622320128*B*a^31*b^23*d^8 + 40399536128*B*a^33*b^21*d^8 + 46976204800*B*a^35*b^19*d^8 + 37580963840*B*a^37*b^17*d^8 + 20401094656*B*a^39*b^15*d^8 + 7180648448*B*a^41*b^13*d^8 + 1476395008*B*a^43*b^11*d^8 + 134217728*B*a^45*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^3*a^21*b^30*d^6 - 699924480*A^3*a^23*b^28*d^6 - 1889533952*A^3*a^25*b^26*d^6 - 3336568832*A^3*a^27*b^24*d^6 - 4495245312*A^3*a^29*b^22*d^6 - 4279238656*A^3*a^31*b^20*d^6 - 1923088384*A^3*a^33*b^18*d^6 + 773849088*A^3*a^35*b^16*d^6 + 1421344768*A^3*a^37*b^14*d^6 + 587726848*A^3*a^39*b^12*d^6 + 25165824*A^3*a^41*b^10*d^6 - 25165824*A^3*a^43*b^8*d^6 + 150994944*B^3*a^24*b^27*d^6 + 905969664*B^3*a^26*b^25*d^6 + 2222981120*B^3*a^28*b^23*d^6 + 2877292544*B^3*a^30*b^21*d^6 + 2290089984*B^3*a^32*b^19*d^6 + 1702887424*B^3*a^34*b^17*d^6 + 1702887424*B^3*a^36*b^15*d^6 + 1384120320*B^3*a^38*b^13*d^6 + 612368384*B^3*a^40*b^11*d^6 + 109051904*B^3*a^42*b^9*d^6 - 452984832*A*B^2*a^23*b^28*d^6 - 2768240640*A*B^2*a^25*b^26*d^6 - 7348420608*A*B^2*a^27*b^24*d^6 - 11903434752*A*B^2*a^29*b^22*d^6 - 14973665280*A*B^2*a^31*b^20*d^6 - 16735272960*A*B^2*a^33*b^18*d^6 - 14973665280*A*B^2*a^35*b^16*d^6 - 8732540928*A*B^2*a^37*b^14*d^6 - 2592079872*A*B^2*a^39*b^12*d^6 - 125829120*A*B^2*a^41*b^10*d^6 + 75497472*A*B^2*a^43*b^8*d^6 + 424673280*A^2*B*a^22*b^29*d^6 + 2604662784*A^2*B*a^24*b^27*d^6 + 7159676928*A^2*B*a^26*b^25*d^6 + 12532580352*A^2*B*a^28*b^23*d^6 + 16867393536*A^2*B*a^30*b^21*d^6 + 17792237568*A^2*B*a^32*b^19*d^6 + 12419334144*A^2*B*a^34*b^17*d^6 + 3573547008*A^2*B*a^36*b^15*d^6 - 1513095168*A^2*B*a^38*b^13*d^6 - 1472200704*A^2*B*a^40*b^11*d^6 - 327155712*A^2*B*a^42*b^9*d^6))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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)*(704643072*A^4*a^29*b^20*d^5 - 290979840*A^4*a^23*b^26*d^5 - 465043456*A^4*a^25*b^24*d^5 - 37224448*A^4*a^27*b^22*d^5 - 58982400*A^4*a^21*b^28*d^5 + 767033344*A^4*a^31*b^18*d^5 + 238551040*A^4*a^33*b^16*d^5 + 1572864*A^4*a^35*b^14*d^5 + 92536832*A^4*a^37*b^12*d^5 + 96468992*A^4*a^39*b^10*d^5 + 25165824*A^4*a^41*b^8*d^5 + 37748736*B^4*a^23*b^26*d^5 + 226492416*B^4*a^25*b^24*d^5 + 536870912*B^4*a^27*b^22*d^5 + 587202560*B^4*a^29*b^20*d^5 + 176160768*B^4*a^31*b^18*d^5 - 234881024*B^4*a^33*b^16*d^5 - 234881024*B^4*a^35*b^14*d^5 - 50331648*B^4*a^37*b^12*d^5 + 20971520*B^4*a^39*b^10*d^5 + 8388608*B^4*a^41*b^8*d^5 - 94371840*A*B^3*a^22*b^27*d^5 - 364904448*A*B^3*a^24*b^25*d^5 + 37748736*A*B^3*a^26*b^23*d^5 + 2554331136*A*B^3*a^28*b^21*d^5 + 5989466112*A*B^3*a^30*b^19*d^5 + 6606028800*A*B^3*a^32*b^17*d^5 + 3787456512*A*B^3*a^34*b^15*d^5 + 918552576*A*B^3*a^36*b^13*d^5 - 56623104*A*B^3*a^38*b^11*d^5 - 50331648*A*B^3*a^40*b^9*d^5 + 330301440*A^3*B*a^22*b^27*d^5 + 1915748352*A^3*B*a^24*b^25*d^5 + 4279238656*A^3*B*a^26*b^23*d^5 + 4059037696*A^3*B*a^28*b^21*d^5 + 154140672*A^3*B*a^30*b^19*d^5 - 2825912320*A^3*B*a^32*b^17*d^5 - 1901068288*A^3*B*a^34*b^15*d^5 + 22020096*A^3*B*a^36*b^13*d^5 + 425721856*A^3*B*a^38*b^11*d^5 + 117440512*A^3*B*a^40*b^9*d^5 + 58982400*A^2*B^2*a^21*b^28*d^5 - 124256256*A^2*B^2*a^23*b^26*d^5 - 2202533888*A^2*B^2*a^25*b^24*d^5 - 6984040448*A^2*B^2*a^27*b^22*d^5 - 10041163776*A^2*B^2*a^29*b^20*d^5 - 6404177920*A^2*B^2*a^31*b^18*d^5 + 289931264*A^2*B^2*a^33*b^16*d^5 + 2993160192*A^2*B^2*a^35*b^14*d^5 + 1694236672*A^2*B^2*a^37*b^12*d^5 + 318767104*A^2*B^2*a^39*b^10*d^5) + (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(773849088*A^3*a^35*b^16*d^6 - 117964800*A^3*a^21*b^30*d^6 - 699924480*A^3*a^23*b^28*d^6 - 1889533952*A^3*a^25*b^26*d^6 - 3336568832*A^3*a^27*b^24*d^6 - 4495245312*A^3*a^29*b^22*d^6 - 4279238656*A^3*a^31*b^20*d^6 - 1923088384*A^3*a^33*b^18*d^6 - ((a + b*tan(c + d*x))^(1/2)*(235929600*A^2*a^22*b^30*d^7 + 1871708160*A^2*a^24*b^28*d^7 + 6295650304*A^2*a^26*b^26*d^7 + 11144265728*A^2*a^28*b^24*d^7 + 9560915968*A^2*a^30*b^22*d^7 - 337641472*A^2*a^32*b^20*d^7 - 9307160576*A^2*a^34*b^18*d^7 - 8887730176*A^2*a^36*b^16*d^7 - 2943352832*A^2*a^38*b^14*d^7 + 621805568*A^2*a^40*b^12*d^7 + 721420288*A^2*a^42*b^10*d^7 + 150994944*A^2*a^44*b^8*d^7 + 150994944*B^2*a^24*b^28*d^7 + 1358954496*B^2*a^26*b^26*d^7 + 5653921792*B^2*a^28*b^24*d^7 + 14126415872*B^2*a^30*b^22*d^7 + 23018340352*B^2*a^32*b^20*d^7 + 24897388544*B^2*a^34*b^18*d^7 + 17381195776*B^2*a^36*b^16*d^7 + 7079985152*B^2*a^38*b^14*d^7 + 1124073472*B^2*a^40*b^12*d^7 - 218103808*B^2*a^42*b^10*d^7 - 83886080*B^2*a^44*b^8*d^7 - 377487360*A*B*a^23*b^29*d^7 - 3196059648*A*B*a^25*b^27*d^7 - 11911823360*A*B*a^27*b^25*d^7 - 24930942976*A*B*a^29*b^23*d^7 - 30182211584*A*B*a^31*b^21*d^7 - 17028874240*A*B*a^33*b^19*d^7 + 5402263552*A*B*a^35*b^17*d^7 + 16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7) - (-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(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) - 251658240*A*a^24*b^30*d^8 - 2382364672*A*a^26*b^28*d^8 - 9948889088*A*a^28*b^26*d^8 - 23924310016*A*a^30*b^24*d^8 - 36071014400*A*a^32*b^22*d^8 - 34292629504*A*a^34*b^20*d^8 - 18555600896*A*a^36*b^18*d^8 - 2483027968*A*a^38*b^16*d^8 + 3841982464*A*a^40*b^14*d^8 + 2852126720*A*a^42*b^12*d^8 + 855638016*A*a^44*b^10*d^8 + 100663296*A*a^46*b^8*d^8 + 201326592*B*a^25*b^29*d^8 + 2013265920*B*a^27*b^27*d^8 + 8992587776*B*a^29*b^25*d^8 + 23622320128*B*a^31*b^23*d^8 + 40399536128*B*a^33*b^21*d^8 + 46976204800*B*a^35*b^19*d^8 + 37580963840*B*a^37*b^17*d^8 + 20401094656*B*a^39*b^15*d^8 + 7180648448*B*a^41*b^13*d^8 + 1476395008*B*a^43*b^11*d^8 + 134217728*B*a^45*b^9*d^8))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 1421344768*A^3*a^37*b^14*d^6 + 587726848*A^3*a^39*b^12*d^6 + 25165824*A^3*a^41*b^10*d^6 - 25165824*A^3*a^43*b^8*d^6 + 150994944*B^3*a^24*b^27*d^6 + 905969664*B^3*a^26*b^25*d^6 + 2222981120*B^3*a^28*b^23*d^6 + 2877292544*B^3*a^30*b^21*d^6 + 2290089984*B^3*a^32*b^19*d^6 + 1702887424*B^3*a^34*b^17*d^6 + 1702887424*B^3*a^36*b^15*d^6 + 1384120320*B^3*a^38*b^13*d^6 + 612368384*B^3*a^40*b^11*d^6 + 109051904*B^3*a^42*b^9*d^6 - 452984832*A*B^2*a^23*b^28*d^6 - 2768240640*A*B^2*a^25*b^26*d^6 - 7348420608*A*B^2*a^27*b^24*d^6 - 11903434752*A*B^2*a^29*b^22*d^6 - 14973665280*A*B^2*a^31*b^20*d^6 - 16735272960*A*B^2*a^33*b^18*d^6 - 14973665280*A*B^2*a^35*b^16*d^6 - 8732540928*A*B^2*a^37*b^14*d^6 - 2592079872*A*B^2*a^39*b^12*d^6 - 125829120*A*B^2*a^41*b^10*d^6 + 75497472*A*B^2*a^43*b^8*d^6 + 424673280*A^2*B*a^22*b^29*d^6 + 2604662784*A^2*B*a^24*b^27*d^6 + 7159676928*A^2*B*a^26*b^25*d^6 + 12532580352*A^2*B*a^28*b^23*d^6 + 16867393536*A^2*B*a^30*b^21*d^6 + 17792237568*A^2*B*a^32*b^19*d^6 + 12419334144*A^2*B*a^34*b^17*d^6 + 3573547008*A^2*B*a^36*b^15*d^6 - 1513095168*A^2*B*a^38*b^13*d^6 - 1472200704*A^2*B*a^40*b^11*d^6 - 327155712*A^2*B*a^42*b^9*d^6))*(-(((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*A^2*a^3*d^2 + 4*B^2*a^3*d^2 + 8*A*B*b^3*d^2 + 12*A^2*a*b^2*d^2 - 12*B^2*a*b^2*d^2 - 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 58982400*A^5*a^22*b^26*d^4 + 381419520*A^5*a^24*b^24*d^4 + 1018429440*A^5*a^26*b^22*d^4 + 1403781120*A^5*a^28*b^20*d^4 + 963379200*A^5*a^30*b^18*d^4 + 137625600*A^5*a^32*b^16*d^4 - 247726080*A^5*a^34*b^14*d^4 - 161218560*A^5*a^36*b^12*d^4 - 31457280*A^5*a^38*b^10*d^4 + 37748736*B^5*a^23*b^25*d^4 + 239075328*B^5*a^25*b^23*d^4 + 616562688*B^5*a^27*b^21*d^4 + 792723456*B^5*a^29*b^19*d^4 + 440401920*B^5*a^31*b^17*d^4 - 88080384*B^5*a^33*b^15*d^4 - 264241152*B^5*a^35*b^13*d^4 - 138412032*B^5*a^37*b^11*d^4 - 25165824*B^5*a^39*b^9*d^4 - 94371840*A*B^4*a^22*b^26*d^4 - 541065216*A*B^4*a^24*b^24*d^4 - 1161822208*A*B^4*a^26*b^22*d^4 - 910163968*A*B^4*a^28*b^20*d^4 + 528482304*A*B^4*a^30*b^18*d^4 + 1614807040*A*B^4*a^32*b^16*d^4 + 1262485504*A*B^4*a^34*b^14*d^4 + 390070272*A*B^4*a^36*b^12*d^4 + 2097152*A*B^4*a^38*b^10*d^4 - 16777216*A*B^4*a^40*b^8*d^4 + 58982400*A^4*B*a^21*b^27*d^4 + 255590400*A^4*B*a^23*b^25*d^4 + 179568640*A^4*B*a^25*b^23*d^4 - 945029120*A^4*B*a^27*b^21*d^4 - 2559836160*A^4*B*a^29*b^19*d^4 - 2798387200*A^4*B*a^31*b^17*d^4 - 1422131200*A^4*B*a^33*b^15*d^4 - 161218560*A^4*B*a^35*b^13*d^4 + 136314880*A^4*B*a^37*b^11*d^4 + 41943040*A^4*B*a^39*b^9*d^4 + 58982400*A^2*B^3*a^21*b^27*d^4 + 293339136*A^2*B^3*a^23*b^25*d^4 + 418643968*A^2*B^3*a^25*b^23*d^4 - 328466432*A^2*B^3*a^27*b^21*d^4 - 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3196059648*A*B*a^25*b^27*d^7 - 11911823360*A*B*a^27*b^25*d^7 - 24930942976*A*B*a^29*b^23*d^7 - 30182211584*A*B*a^31*b^21*d^7 - 17028874240*A*B*a^33*b^19*d^7 + 5402263552*A*B*a^35*b^17*d^7 + 16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7) - ((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(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) - 251658240*A*a^24*b^30*d^8 - 2382364672*A*a^26*b^28*d^8 - 9948889088*A*a^28*b^26*d^8 - 23924310016*A*a^30*b^24*d^8 - 36071014400*A*a^32*b^22*d^8 - 34292629504*A*a^34*b^20*d^8 - 18555600896*A*a^36*b^18*d^8 - 2483027968*A*a^38*b^16*d^8 + 3841982464*A*a^40*b^14*d^8 + 2852126720*A*a^42*b^12*d^8 + 855638016*A*a^44*b^10*d^8 + 100663296*A*a^46*b^8*d^8 + 201326592*B*a^25*b^29*d^8 + 2013265920*B*a^27*b^27*d^8 + 8992587776*B*a^29*b^25*d^8 + 23622320128*B*a^31*b^23*d^8 + 40399536128*B*a^33*b^21*d^8 + 46976204800*B*a^35*b^19*d^8 + 37580963840*B*a^37*b^17*d^8 + 20401094656*B*a^39*b^15*d^8 + 7180648448*B*a^41*b^13*d^8 + 1476395008*B*a^43*b^11*d^8 + 134217728*B*a^45*b^9*d^8))*((((8*A^2*a^3*d^2 - 8*B^2*a^3*d^2 - 16*A*B*b^3*d^2 - 24*A^2*a*b^2*d^2 + 24*B^2*a*b^2*d^2 + 48*A*B*a^2*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*A^2*a^3*d^2 - 4*B^2*a^3*d^2 - 8*A*B*b^3*d^2 - 12*A^2*a*b^2*d^2 + 12*B^2*a*b^2*d^2 + 24*A*B*a^2*b*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) + 1421344768*A^3*a^37*b^14*d^6 + 587726848*A^3*a^39*b^12*d^6 + 25165824*A^3*a^41*b^10*d^6 - 25165824*A^3*a^43*b^8*d^6 + 150994944*B^3*a^24*b^27*d^6 + 905969664*B^3*a^26*b^25*d^6 + 2222981120*B^3*a^28*b^23*d^6 + 2877292544*B^3*a^30*b^21*d^6 + 2290089984*B^3*a^32*b^19*d^6 + 1702887424*B^3*a^34*b^17*d^6 + 1702887424*B^3*a^36*b^15*d^6 + 1384120320*B^3*a^38*b^13*d^6 + 612368384*B^3*a^40*b^11*d^6 + 109051904*B^3*a^42*b^9*d^6 - 452984832*A*B^2*a^23*b^28*d^6 - 2768240640*A*B^2*a^25*b^26*d^6 - 7348420608*A*B^2*a^27*b^24*d^6 - 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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))/(64*a^7*d)))/(8*a^7*d))*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2))/(8*a^7*d) - 56623104*A*B^2*a^23*b^28*d^6 - 346030080*A*B^2*a^25*b^26*d^6 - 918552576*A*B^2*a^27*b^24*d^6 - 1487929344*A*B^2*a^29*b^22*d^6 - 1871708160*A*B^2*a^31*b^20*d^6 - 2091909120*A*B^2*a^33*b^18*d^6 - 1871708160*A*B^2*a^35*b^16*d^6 - 1091567616*A*B^2*a^37*b^14*d^6 - 324009984*A*B^2*a^39*b^12*d^6 - 15728640*A*B^2*a^41*b^10*d^6 + 9437184*A*B^2*a^43*b^8*d^6 + 53084160*A^2*B*a^22*b^29*d^6 + 325582848*A^2*B*a^24*b^27*d^6 + 894959616*A^2*B*a^26*b^25*d^6 + 1566572544*A^2*B*a^28*b^23*d^6 + 2108424192*A^2*B*a^30*b^21*d^6 + 2224029696*A^2*B*a^32*b^19*d^6 + 1552416768*A^2*B*a^34*b^17*d^6 + 446693376*A^2*B*a^36*b^15*d^6 - 189136896*A^2*B*a^38*b^13*d^6 - 184025088*A^2*B*a^40*b^11*d^6 - 40894464*A^2*B*a^42*b^9*d^6))/(8*a^7*d))*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2)*1i)/(a^7*d) + ((((a + b*tan(c + d*x))^(1/2)*(704643072*A^4*a^29*b^20*d^5 - 290979840*A^4*a^23*b^26*d^5 - 465043456*A^4*a^25*b^24*d^5 - 37224448*A^4*a^27*b^22*d^5 - 58982400*A^4*a^21*b^28*d^5 + 767033344*A^4*a^31*b^18*d^5 + 238551040*A^4*a^33*b^16*d^5 + 1572864*A^4*a^35*b^14*d^5 + 92536832*A^4*a^37*b^12*d^5 + 96468992*A^4*a^39*b^10*d^5 + 25165824*A^4*a^41*b^8*d^5 + 37748736*B^4*a^23*b^26*d^5 + 226492416*B^4*a^25*b^24*d^5 + 536870912*B^4*a^27*b^22*d^5 + 587202560*B^4*a^29*b^20*d^5 + 176160768*B^4*a^31*b^18*d^5 - 234881024*B^4*a^33*b^16*d^5 - 234881024*B^4*a^35*b^14*d^5 - 50331648*B^4*a^37*b^12*d^5 + 20971520*B^4*a^39*b^10*d^5 + 8388608*B^4*a^41*b^8*d^5 - 94371840*A*B^3*a^22*b^27*d^5 - 364904448*A*B^3*a^24*b^25*d^5 + 37748736*A*B^3*a^26*b^23*d^5 + 2554331136*A*B^3*a^28*b^21*d^5 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360*A*B*a^8*b^3)^(1/2)*(96731136*A^3*a^35*b^16*d^6 - 87490560*A^3*a^23*b^28*d^6 - 236191744*A^3*a^25*b^26*d^6 - 417071104*A^3*a^27*b^24*d^6 - 561905664*A^3*a^29*b^22*d^6 - 534904832*A^3*a^31*b^20*d^6 - 240386048*A^3*a^33*b^18*d^6 - 14745600*A^3*a^21*b^30*d^6 + 177668096*A^3*a^37*b^14*d^6 + 73465856*A^3*a^39*b^12*d^6 + 3145728*A^3*a^41*b^10*d^6 - 3145728*A^3*a^43*b^8*d^6 + 18874368*B^3*a^24*b^27*d^6 + 113246208*B^3*a^26*b^25*d^6 + 277872640*B^3*a^28*b^23*d^6 + 359661568*B^3*a^30*b^21*d^6 + 286261248*B^3*a^32*b^19*d^6 + 212860928*B^3*a^34*b^17*d^6 + 212860928*B^3*a^36*b^15*d^6 + 173015040*B^3*a^38*b^13*d^6 + 76546048*B^3*a^40*b^11*d^6 + 13631488*B^3*a^42*b^9*d^6 - ((((a + b*tan(c + d*x))^(1/2)*(235929600*A^2*a^22*b^30*d^7 + 1871708160*A^2*a^24*b^28*d^7 + 6295650304*A^2*a^26*b^26*d^7 + 11144265728*A^2*a^28*b^24*d^7 + 9560915968*A^2*a^30*b^22*d^7 - 337641472*A^2*a^32*b^20*d^7 - 9307160576*A^2*a^34*b^18*d^7 - 8887730176*A^2*a^36*b^16*d^7 - 2943352832*A^2*a^38*b^14*d^7 + 621805568*A^2*a^40*b^12*d^7 + 721420288*A^2*a^42*b^10*d^7 + 150994944*A^2*a^44*b^8*d^7 + 150994944*B^2*a^24*b^28*d^7 + 1358954496*B^2*a^26*b^26*d^7 + 5653921792*B^2*a^28*b^24*d^7 + 14126415872*B^2*a^30*b^22*d^7 + 23018340352*B^2*a^32*b^20*d^7 + 24897388544*B^2*a^34*b^18*d^7 + 17381195776*B^2*a^36*b^16*d^7 + 7079985152*B^2*a^38*b^14*d^7 + 1124073472*B^2*a^40*b^12*d^7 - 218103808*B^2*a^42*b^10*d^7 - 83886080*B^2*a^44*b^8*d^7 - 377487360*A*B*a^23*b^29*d^7 - 3196059648*A*B*a^25*b^27*d^7 - 11911823360*A*B*a^27*b^25*d^7 - 24930942976*A*B*a^29*b^23*d^7 - 30182211584*A*B*a^31*b^21*d^7 - 17028874240*A*B*a^33*b^19*d^7 + 5402263552*A*B*a^35*b^17*d^7 + 16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7))/8 - ((64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2)*(480247808*A*a^40*b^14*d^8 - 297795584*A*a^26*b^28*d^8 - 1243611136*A*a^28*b^26*d^8 - 2990538752*A*a^30*b^24*d^8 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360*A*B*a^8*b^3)^(1/2)*1i)/(a^7*d))/(58982400*A^5*a^22*b^26*d^4 + 381419520*A^5*a^24*b^24*d^4 + 1018429440*A^5*a^26*b^22*d^4 + 1403781120*A^5*a^28*b^20*d^4 + 963379200*A^5*a^30*b^18*d^4 + 137625600*A^5*a^32*b^16*d^4 - 247726080*A^5*a^34*b^14*d^4 - 161218560*A^5*a^36*b^12*d^4 - 31457280*A^5*a^38*b^10*d^4 + 37748736*B^5*a^23*b^25*d^4 + 239075328*B^5*a^25*b^23*d^4 + 616562688*B^5*a^27*b^21*d^4 + 792723456*B^5*a^29*b^19*d^4 + 440401920*B^5*a^31*b^17*d^4 - 88080384*B^5*a^33*b^15*d^4 - 264241152*B^5*a^35*b^13*d^4 - 138412032*B^5*a^37*b^11*d^4 - 25165824*B^5*a^39*b^9*d^4 + ((((a + b*tan(c + d*x))^(1/2)*(704643072*A^4*a^29*b^20*d^5 - 290979840*A^4*a^23*b^26*d^5 - 465043456*A^4*a^25*b^24*d^5 - 37224448*A^4*a^27*b^22*d^5 - 58982400*A^4*a^21*b^28*d^5 + 767033344*A^4*a^31*b^18*d^5 + 238551040*A^4*a^33*b^16*d^5 + 1572864*A^4*a^35*b^14*d^5 + 92536832*A^4*a^37*b^12*d^5 + 96468992*A^4*a^39*b^10*d^5 + 25165824*A^4*a^41*b^8*d^5 + 37748736*B^4*a^23*b^26*d^5 + 226492416*B^4*a^25*b^24*d^5 + 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16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7))/8 + ((64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2)*(480247808*A*a^40*b^14*d^8 - 297795584*A*a^26*b^28*d^8 - 1243611136*A*a^28*b^26*d^8 - 2990538752*A*a^30*b^24*d^8 - 4508876800*A*a^32*b^22*d^8 - 4286578688*A*a^34*b^20*d^8 - 2319450112*A*a^36*b^18*d^8 - 310378496*A*a^38*b^16*d^8 - 31457280*A*a^24*b^30*d^8 + 356515840*A*a^42*b^12*d^8 + 106954752*A*a^44*b^10*d^8 + 12582912*A*a^46*b^8*d^8 + 25165824*B*a^25*b^29*d^8 + 251658240*B*a^27*b^27*d^8 + 1124073472*B*a^29*b^25*d^8 + 2952790016*B*a^31*b^23*d^8 + 5049942016*B*a^33*b^21*d^8 + 5872025600*B*a^35*b^19*d^8 + 4697620480*B*a^37*b^17*d^8 + 2550136832*B*a^39*b^15*d^8 + 897581056*B*a^41*b^13*d^8 + 184549376*B*a^43*b^11*d^8 + 16777216*B*a^45*b^9*d^8 - ((a + b*tan(c + d*x))^(1/2)*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b 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2224029696*A^2*B*a^32*b^19*d^6 + 1552416768*A^2*B*a^34*b^17*d^6 + 446693376*A^2*B*a^36*b^15*d^6 - 189136896*A^2*B*a^38*b^13*d^6 - 184025088*A^2*B*a^40*b^11*d^6 - 40894464*A^2*B*a^42*b^9*d^6))/(8*a^7*d))*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2))/(a^7*d) - ((((a + b*tan(c + d*x))^(1/2)*(704643072*A^4*a^29*b^20*d^5 - 290979840*A^4*a^23*b^26*d^5 - 465043456*A^4*a^25*b^24*d^5 - 37224448*A^4*a^27*b^22*d^5 - 58982400*A^4*a^21*b^28*d^5 + 767033344*A^4*a^31*b^18*d^5 + 238551040*A^4*a^33*b^16*d^5 + 1572864*A^4*a^35*b^14*d^5 + 92536832*A^4*a^37*b^12*d^5 + 96468992*A^4*a^39*b^10*d^5 + 25165824*A^4*a^41*b^8*d^5 + 37748736*B^4*a^23*b^26*d^5 + 226492416*B^4*a^25*b^24*d^5 + 536870912*B^4*a^27*b^22*d^5 + 587202560*B^4*a^29*b^20*d^5 + 176160768*B^4*a^31*b^18*d^5 - 234881024*B^4*a^33*b^16*d^5 - 234881024*B^4*a^35*b^14*d^5 - 50331648*B^4*a^37*b^12*d^5 + 20971520*B^4*a^39*b^10*d^5 + 8388608*B^4*a^41*b^8*d^5 - 94371840*A*B^3*a^22*b^27*d^5 - 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240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2)*(96731136*A^3*a^35*b^16*d^6 - 87490560*A^3*a^23*b^28*d^6 - 236191744*A^3*a^25*b^26*d^6 - 417071104*A^3*a^27*b^24*d^6 - 561905664*A^3*a^29*b^22*d^6 - 534904832*A^3*a^31*b^20*d^6 - 240386048*A^3*a^33*b^18*d^6 - 14745600*A^3*a^21*b^30*d^6 + 177668096*A^3*a^37*b^14*d^6 + 73465856*A^3*a^39*b^12*d^6 + 3145728*A^3*a^41*b^10*d^6 - 3145728*A^3*a^43*b^8*d^6 + 18874368*B^3*a^24*b^27*d^6 + 113246208*B^3*a^26*b^25*d^6 + 277872640*B^3*a^28*b^23*d^6 + 359661568*B^3*a^30*b^21*d^6 + 286261248*B^3*a^32*b^19*d^6 + 212860928*B^3*a^34*b^17*d^6 + 212860928*B^3*a^36*b^15*d^6 + 173015040*B^3*a^38*b^13*d^6 + 76546048*B^3*a^40*b^11*d^6 + 13631488*B^3*a^42*b^9*d^6 - ((((a + b*tan(c + d*x))^(1/2)*(235929600*A^2*a^22*b^30*d^7 + 1871708160*A^2*a^24*b^28*d^7 + 6295650304*A^2*a^26*b^26*d^7 + 11144265728*A^2*a^28*b^24*d^7 + 9560915968*A^2*a^30*b^22*d^7 - 337641472*A^2*a^32*b^20*d^7 - 9307160576*A^2*a^34*b^18*d^7 - 8887730176*A^2*a^36*b^16*d^7 - 2943352832*A^2*a^38*b^14*d^7 + 621805568*A^2*a^40*b^12*d^7 + 721420288*A^2*a^42*b^10*d^7 + 150994944*A^2*a^44*b^8*d^7 + 150994944*B^2*a^24*b^28*d^7 + 1358954496*B^2*a^26*b^26*d^7 + 5653921792*B^2*a^28*b^24*d^7 + 14126415872*B^2*a^30*b^22*d^7 + 23018340352*B^2*a^32*b^20*d^7 + 24897388544*B^2*a^34*b^18*d^7 + 17381195776*B^2*a^36*b^16*d^7 + 7079985152*B^2*a^38*b^14*d^7 + 1124073472*B^2*a^40*b^12*d^7 - 218103808*B^2*a^42*b^10*d^7 - 83886080*B^2*a^44*b^8*d^7 - 377487360*A*B*a^23*b^29*d^7 - 3196059648*A*B*a^25*b^27*d^7 - 11911823360*A*B*a^27*b^25*d^7 - 24930942976*A*B*a^29*b^23*d^7 - 30182211584*A*B*a^31*b^21*d^7 - 17028874240*A*B*a^33*b^19*d^7 + 5402263552*A*B*a^35*b^17*d^7 + 16944988160*A*B*a^37*b^15*d^7 + 12775849984*A*B*a^39*b^13*d^7 + 4588568576*A*B*a^41*b^11*d^7 + 671088640*A*B*a^43*b^9*d^7))/8 - ((64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2)*(480247808*A*a^40*b^14*d^8 - 297795584*A*a^26*b^28*d^8 - 1243611136*A*a^28*b^26*d^8 - 2990538752*A*a^30*b^24*d^8 - 4508876800*A*a^32*b^22*d^8 - 4286578688*A*a^34*b^20*d^8 - 2319450112*A*a^36*b^18*d^8 - 310378496*A*a^38*b^16*d^8 - 31457280*A*a^24*b^30*d^8 + 356515840*A*a^42*b^12*d^8 + 106954752*A*a^44*b^10*d^8 + 12582912*A*a^46*b^8*d^8 + 25165824*B*a^25*b^29*d^8 + 251658240*B*a^27*b^27*d^8 + 1124073472*B*a^29*b^25*d^8 + 2952790016*B*a^31*b^23*d^8 + 5049942016*B*a^33*b^21*d^8 + 5872025600*B*a^35*b^19*d^8 + 4697620480*B*a^37*b^17*d^8 + 2550136832*B*a^39*b^15*d^8 + 897581056*B*a^41*b^13*d^8 + 184549376*B*a^43*b^11*d^8 + 16777216*B*a^45*b^9*d^8 + ((a + b*tan(c + d*x))^(1/2)*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(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))/(64*a^7*d)))/(8*a^7*d))*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2))/(8*a^7*d) - 56623104*A*B^2*a^23*b^28*d^6 - 346030080*A*B^2*a^25*b^26*d^6 - 918552576*A*B^2*a^27*b^24*d^6 - 1487929344*A*B^2*a^29*b^22*d^6 - 1871708160*A*B^2*a^31*b^20*d^6 - 2091909120*A*B^2*a^33*b^18*d^6 - 1871708160*A*B^2*a^35*b^16*d^6 - 1091567616*A*B^2*a^37*b^14*d^6 - 324009984*A*B^2*a^39*b^12*d^6 - 15728640*A*B^2*a^41*b^10*d^6 + 9437184*A*B^2*a^43*b^8*d^6 + 53084160*A^2*B*a^22*b^29*d^6 + 325582848*A^2*B*a^24*b^27*d^6 + 894959616*A^2*B*a^26*b^25*d^6 + 1566572544*A^2*B*a^28*b^23*d^6 + 2108424192*A^2*B*a^30*b^21*d^6 + 2224029696*A^2*B*a^32*b^19*d^6 + 1552416768*A^2*B*a^34*b^17*d^6 + 446693376*A^2*B*a^36*b^15*d^6 - 189136896*A^2*B*a^38*b^13*d^6 - 184025088*A^2*B*a^40*b^11*d^6 - 40894464*A^2*B*a^42*b^9*d^6))/(8*a^7*d))*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2))/(a^7*d) - 94371840*A*B^4*a^22*b^26*d^4 - 541065216*A*B^4*a^24*b^24*d^4 - 1161822208*A*B^4*a^26*b^22*d^4 - 910163968*A*B^4*a^28*b^20*d^4 + 528482304*A*B^4*a^30*b^18*d^4 + 1614807040*A*B^4*a^32*b^16*d^4 + 1262485504*A*B^4*a^34*b^14*d^4 + 390070272*A*B^4*a^36*b^12*d^4 + 2097152*A*B^4*a^38*b^10*d^4 - 16777216*A*B^4*a^40*b^8*d^4 + 58982400*A^4*B*a^21*b^27*d^4 + 255590400*A^4*B*a^23*b^25*d^4 + 179568640*A^4*B*a^25*b^23*d^4 - 945029120*A^4*B*a^27*b^21*d^4 - 2559836160*A^4*B*a^29*b^19*d^4 - 2798387200*A^4*B*a^31*b^17*d^4 - 1422131200*A^4*B*a^33*b^15*d^4 - 161218560*A^4*B*a^35*b^13*d^4 + 136314880*A^4*B*a^37*b^11*d^4 + 41943040*A^4*B*a^39*b^9*d^4 + 58982400*A^2*B^3*a^21*b^27*d^4 + 293339136*A^2*B^3*a^23*b^25*d^4 + 418643968*A^2*B^3*a^25*b^23*d^4 - 328466432*A^2*B^3*a^27*b^21*d^4 - 1767112704*A^2*B^3*a^29*b^19*d^4 - 2357985280*A^2*B^3*a^31*b^17*d^4 - 1510211584*A^2*B^3*a^33*b^15*d^4 - 425459712*A^2*B^3*a^35*b^13*d^4 - 2097152*A^2*B^3*a^37*b^11*d^4 + 16777216*A^2*B^3*a^39*b^9*d^4 - 35389440*A^3*B^2*a^22*b^26*d^4 - 159645696*A^3*B^2*a^24*b^24*d^4 - 143392768*A^3*B^2*a^26*b^22*d^4 + 493617152*A^3*B^2*a^28*b^20*d^4 + 1491861504*A^3*B^2*a^30*b^18*d^4 + 1752432640*A^3*B^2*a^32*b^16*d^4 + 1014759424*A^3*B^2*a^34*b^14*d^4 + 228851712*A^3*B^2*a^36*b^12*d^4 - 29360128*A^3*B^2*a^38*b^10*d^4 - 16777216*A^3*B^2*a^40*b^8*d^4))*(64*A^2*a^11 + 225*A^2*a^7*b^4 - 240*A^2*a^9*b^2 + 144*B^2*a^9*b^2 + 192*A*B*a^10*b - 360*A*B*a^8*b^3)^(1/2)*1i)/(4*a^7*d)","B"
357,1,9547,371,40.794309,"\text{Not used}","int((tan(c + d*x)^4*(A + B*tan(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(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\frac{\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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(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}-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4+896\,A\,a^6\,b^{15}\,d^4+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}+96\,A^3\,a^3\,b^{13}\,d^2+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\frac{\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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(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}-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4+896\,A\,a^6\,b^{15}\,d^4+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}+96\,A^3\,a^3\,b^{13}\,d^2+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}-\ln\left(96\,A^3\,a^3\,b^{13}\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,A\,a^6\,b^{15}\,d^4-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4-\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(96\,A^3\,a^3\,b^{13}\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,A\,a^6\,b^{15}\,d^4-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4-\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(8\,B^3\,b^{16}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(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}+96\,B\,a\,b^{20}\,d^4+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(8\,B^3\,b^{16}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(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}+96\,B\,a\,b^{20}\,d^4+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,B\,a\,b^{20}\,d^4-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+8\,B^3\,b^{16}\,d^2+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,B\,a\,b^{20}\,d^4-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+8\,B^3\,b^{16}\,d^2+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\frac{\frac{2\,A\,a^4}{3\,\left(a^2+b^2\right)}-\frac{4\,A\,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}}+\frac{\frac{2\,B\,a^5}{3\,\left(a^2+b^2\right)}-\frac{2\,B\,\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}}+\frac{2\,A\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}+\frac{2\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,b^4\,d}-\frac{6\,B\,a\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^4\,d}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - ((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(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 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 + 896*A*a^6*b^15*d^4 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))/4)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 + 96*A^3*a^3*b^13*d^2 + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 + (log((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - ((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(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 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 + 896*A*a^6*b^15*d^4 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))/4)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 + 96*A^3*a^3*b^13*d^2 + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 - log(96*A^3*a^3*b^13*d^2 - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*A*a^6*b^15*d^4 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 - (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(96*A^3*a^3*b^13*d^2 - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*A*a^6*b^15*d^4 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 - (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(8*B^3*b^16*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + ((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(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 + 96*B*a*b^20*d^4 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))/4)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 + (log(8*B^3*b^16*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + ((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(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 + 96*B*a*b^20*d^4 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))/4)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 - log(((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*B*a*b^20*d^4 - (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 8*B^3*b^16*d^2 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*B*a*b^20*d^4 - (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 8*B^3*b^16*d^2 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - ((2*A*a^4)/(3*(a^2 + b^2)) - (4*A*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)) + ((2*B*a^5)/(3*(a^2 + b^2)) - (2*B*(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)) + (2*A*(a + b*tan(c + d*x))^(1/2))/(b^3*d) + (2*B*(a + b*tan(c + d*x))^(3/2))/(3*b^4*d) - (6*B*a*(a + b*tan(c + d*x))^(1/2))/(b^4*d)","B"
358,1,9498,261,31.391718,"\text{Not used}","int((tan(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(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}-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4+896\,B\,a^6\,b^{15}\,d^4+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)}{4}\right)}{4}+96\,B^3\,a^3\,b^{13}\,d^2+240\,B^3\,a^5\,b^{11}\,d^2+320\,B^3\,a^7\,b^9\,d^2+240\,B^3\,a^9\,b^7\,d^2+96\,B^3\,a^{11}\,b^5\,d^2+16\,B^3\,a^{13}\,b^3\,d^2+16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(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}-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4+896\,B\,a^6\,b^{15}\,d^4+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)}{4}\right)}{4}+96\,B^3\,a^3\,b^{13}\,d^2+240\,B^3\,a^5\,b^{11}\,d^2+320\,B^3\,a^7\,b^9\,d^2+240\,B^3\,a^9\,b^7\,d^2+96\,B^3\,a^{11}\,b^5\,d^2+16\,B^3\,a^{13}\,b^3\,d^2+16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}-\ln\left(96\,B^3\,a^3\,b^{13}\,d^2-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,B\,a^6\,b^{15}\,d^4-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)\right)+240\,B^3\,a^5\,b^{11}\,d^2+320\,B^3\,a^7\,b^9\,d^2+240\,B^3\,a^9\,b^7\,d^2+96\,B^3\,a^{11}\,b^5\,d^2+16\,B^3\,a^{13}\,b^3\,d^2+16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(96\,B^3\,a^3\,b^{13}\,d^2-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,B\,a^6\,b^{15}\,d^4-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)\right)+240\,B^3\,a^5\,b^{11}\,d^2+320\,B^3\,a^7\,b^9\,d^2+240\,B^3\,a^9\,b^7\,d^2+96\,B^3\,a^{11}\,b^5\,d^2+16\,B^3\,a^{13}\,b^3\,d^2+16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(40\,A^3\,a^8\,b^8\,d^2-8\,A^3\,b^{16}\,d^2-40\,A^3\,a^2\,b^{14}\,d^2-72\,A^3\,a^4\,b^{12}\,d^2-40\,A^3\,a^6\,b^{10}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\frac{\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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(96\,A\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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(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}+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}+72\,A^3\,a^{10}\,b^6\,d^2+40\,A^3\,a^{12}\,b^4\,d^2+8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(40\,A^3\,a^8\,b^8\,d^2-8\,A^3\,b^{16}\,d^2-40\,A^3\,a^2\,b^{14}\,d^2-72\,A^3\,a^4\,b^{12}\,d^2-40\,A^3\,a^6\,b^{10}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\frac{\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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(96\,A\,a\,b^{20}\,d^4-\frac{\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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(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}+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}+72\,A^3\,a^{10}\,b^6\,d^2+40\,A^3\,a^{12}\,b^4\,d^2+8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+96\,A\,a\,b^{20}\,d^4+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-8\,A^3\,b^{16}\,d^2-40\,A^3\,a^2\,b^{14}\,d^2-72\,A^3\,a^4\,b^{12}\,d^2-40\,A^3\,a^6\,b^{10}\,d^2+40\,A^3\,a^8\,b^8\,d^2+72\,A^3\,a^{10}\,b^6\,d^2+40\,A^3\,a^{12}\,b^4\,d^2+8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+96\,A\,a\,b^{20}\,d^4+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-8\,A^3\,b^{16}\,d^2-40\,A^3\,a^2\,b^{14}\,d^2-72\,A^3\,a^4\,b^{12}\,d^2-40\,A^3\,a^6\,b^{10}\,d^2+40\,A^3\,a^8\,b^8\,d^2+72\,A^3\,a^{10}\,b^6\,d^2+40\,A^3\,a^{12}\,b^4\,d^2+8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\frac{2\,A\,a^3}{3\,\left(a^2+b^2\right)}-\frac{2\,A\,\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}}-\frac{\frac{2\,B\,a^4}{3\,\left(a^2+b^2\right)}-\frac{4\,B\,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}}+\frac{2\,B\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}","Not used",1,"(log(((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - ((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(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 - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 + 896*B*a^6*b^15*d^4 + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4))/4))/4 + 96*B^3*a^3*b^13*d^2 + 240*B^3*a^5*b^11*d^2 + 320*B^3*a^7*b^9*d^2 + 240*B^3*a^9*b^7*d^2 + 96*B^3*a^11*b^5*d^2 + 16*B^3*a^13*b^3*d^2 + 16*B^3*a*b^15*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 + (log(((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - ((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(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 - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 + 896*B*a^6*b^15*d^4 + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4))/4))/4 + 96*B^3*a^3*b^13*d^2 + 240*B^3*a^5*b^11*d^2 + 320*B^3*a^7*b^9*d^2 + 240*B^3*a^9*b^7*d^2 + 96*B^3*a^11*b^5*d^2 + 16*B^3*a^13*b^3*d^2 + 16*B^3*a*b^15*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 - log(96*B^3*a^3*b^13*d^2 - (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*B*a^6*b^15*d^4 - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 - (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4)) + 240*B^3*a^5*b^11*d^2 + 320*B^3*a^7*b^9*d^2 + 240*B^3*a^9*b^7*d^2 + 96*B^3*a^11*b^5*d^2 + 16*B^3*a^13*b^3*d^2 + 16*B^3*a*b^15*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(96*B^3*a^3*b^13*d^2 - (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*B*a^6*b^15*d^4 - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 - (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4)) + 240*B^3*a^5*b^11*d^2 + 320*B^3*a^7*b^9*d^2 + 240*B^3*a^9*b^7*d^2 + 96*B^3*a^11*b^5*d^2 + 16*B^3*a^13*b^3*d^2 + 16*B^3*a*b^15*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(40*A^3*a^8*b^8*d^2 - 8*A^3*b^16*d^2 - 40*A^3*a^2*b^14*d^2 - 72*A^3*a^4*b^12*d^2 - 40*A^3*a^6*b^10*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - ((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(96*A*a*b^20*d^4 - ((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(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 + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))/4)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 + 72*A^3*a^10*b^6*d^2 + 40*A^3*a^12*b^4*d^2 + 8*A^3*a^14*b^2*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 + (log(40*A^3*a^8*b^8*d^2 - 8*A^3*b^16*d^2 - 40*A^3*a^2*b^14*d^2 - 72*A^3*a^4*b^12*d^2 - 40*A^3*a^6*b^10*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - ((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(96*A*a*b^20*d^4 - ((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(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 + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))/4)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 + 72*A^3*a^10*b^6*d^2 + 40*A^3*a^12*b^4*d^2 + 8*A^3*a^14*b^2*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 - log(((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 96*A*a*b^20*d^4 + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 8*A^3*b^16*d^2 - 40*A^3*a^2*b^14*d^2 - 72*A^3*a^4*b^12*d^2 - 40*A^3*a^6*b^10*d^2 + 40*A^3*a^8*b^8*d^2 + 72*A^3*a^10*b^6*d^2 + 40*A^3*a^12*b^4*d^2 + 8*A^3*a^14*b^2*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 96*A*a*b^20*d^4 + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 8*A^3*b^16*d^2 - 40*A^3*a^2*b^14*d^2 - 72*A^3*a^4*b^12*d^2 - 40*A^3*a^6*b^10*d^2 + 40*A^3*a^8*b^8*d^2 + 72*A^3*a^10*b^6*d^2 + 40*A^3*a^12*b^4*d^2 + 8*A^3*a^14*b^2*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + ((2*A*a^3)/(3*(a^2 + b^2)) - (2*A*(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)) - ((2*B*a^4)/(3*(a^2 + b^2)) - (4*B*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)) + (2*B*(a + b*tan(c + d*x))^(1/2))/(b^3*d)","B"
359,1,9468,198,23.116632,"\text{Not used}","int((tan(c + d*x)^2*(A + B*tan(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(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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(896\,A\,a^6\,b^{15}\,d^4-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4-\frac{\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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(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}+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}-96\,A^3\,a^3\,b^{13}\,d^2-240\,A^3\,a^5\,b^{11}\,d^2-320\,A^3\,a^7\,b^9\,d^2-240\,A^3\,a^9\,b^7\,d^2-96\,A^3\,a^{11}\,b^5\,d^2-16\,A^3\,a^{13}\,b^3\,d^2-16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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(896\,A\,a^6\,b^{15}\,d^4-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4-\frac{\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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(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}+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}-96\,A^3\,a^3\,b^{13}\,d^2-240\,A^3\,a^5\,b^{11}\,d^2-320\,A^3\,a^7\,b^9\,d^2-240\,A^3\,a^9\,b^7\,d^2-96\,A^3\,a^{11}\,b^5\,d^2-16\,A^3\,a^{13}\,b^3\,d^2-16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}-\ln\left(-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4+896\,A\,a^6\,b^{15}\,d^4+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-96\,A^3\,a^3\,b^{13}\,d^2-240\,A^3\,a^5\,b^{11}\,d^2-320\,A^3\,a^7\,b^9\,d^2-240\,A^3\,a^9\,b^7\,d^2-96\,A^3\,a^{11}\,b^5\,d^2-16\,A^3\,a^{13}\,b^3\,d^2-16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4+896\,A\,a^6\,b^{15}\,d^4+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-96\,A^3\,a^3\,b^{13}\,d^2-240\,A^3\,a^5\,b^{11}\,d^2-320\,A^3\,a^7\,b^9\,d^2-240\,A^3\,a^9\,b^7\,d^2-96\,A^3\,a^{11}\,b^5\,d^2-16\,A^3\,a^{13}\,b^3\,d^2-16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(40\,B^3\,a^8\,b^8\,d^2-8\,B^3\,b^{16}\,d^2-40\,B^3\,a^2\,b^{14}\,d^2-72\,B^3\,a^4\,b^{12}\,d^2-40\,B^3\,a^6\,b^{10}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(96\,B\,a\,b^{20}\,d^4-\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(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}+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}+72\,B^3\,a^{10}\,b^6\,d^2+40\,B^3\,a^{12}\,b^4\,d^2+8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(40\,B^3\,a^8\,b^8\,d^2-8\,B^3\,b^{16}\,d^2-40\,B^3\,a^2\,b^{14}\,d^2-72\,B^3\,a^4\,b^{12}\,d^2-40\,B^3\,a^6\,b^{10}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(96\,B\,a\,b^{20}\,d^4-\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(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}+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}+72\,B^3\,a^{10}\,b^6\,d^2+40\,B^3\,a^{12}\,b^4\,d^2+8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+96\,B\,a\,b^{20}\,d^4+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-8\,B^3\,b^{16}\,d^2-40\,B^3\,a^2\,b^{14}\,d^2-72\,B^3\,a^4\,b^{12}\,d^2-40\,B^3\,a^6\,b^{10}\,d^2+40\,B^3\,a^8\,b^8\,d^2+72\,B^3\,a^{10}\,b^6\,d^2+40\,B^3\,a^{12}\,b^4\,d^2+8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+96\,B\,a\,b^{20}\,d^4+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-8\,B^3\,b^{16}\,d^2-40\,B^3\,a^2\,b^{14}\,d^2-72\,B^3\,a^4\,b^{12}\,d^2-40\,B^3\,a^6\,b^{10}\,d^2+40\,B^3\,a^8\,b^8\,d^2+72\,B^3\,a^{10}\,b^6\,d^2+40\,B^3\,a^{12}\,b^4\,d^2+8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\frac{2\,B\,a^3}{3\,\left(a^2+b^2\right)}-\frac{2\,B\,\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}}-\frac{\frac{2\,A\,a^2}{3\,\left(a^2+b^2\right)}-\frac{4\,A\,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}}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + ((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(896*A*a^6*b^15*d^4 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 - ((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(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 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))/4)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 - 96*A^3*a^3*b^13*d^2 - 240*A^3*a^5*b^11*d^2 - 320*A^3*a^7*b^9*d^2 - 240*A^3*a^9*b^7*d^2 - 96*A^3*a^11*b^5*d^2 - 16*A^3*a^13*b^3*d^2 - 16*A^3*a*b^15*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 + (log((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + ((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(896*A*a^6*b^15*d^4 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 - ((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(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 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))/4)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 - 96*A^3*a^3*b^13*d^2 - 240*A^3*a^5*b^11*d^2 - 320*A^3*a^7*b^9*d^2 - 240*A^3*a^9*b^7*d^2 - 96*A^3*a^11*b^5*d^2 - 16*A^3*a^13*b^3*d^2 - 16*A^3*a*b^15*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 - log(- ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 + 896*A*a^6*b^15*d^4 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 96*A^3*a^3*b^13*d^2 - 240*A^3*a^5*b^11*d^2 - 320*A^3*a^7*b^9*d^2 - 240*A^3*a^9*b^7*d^2 - 96*A^3*a^11*b^5*d^2 - 16*A^3*a^13*b^3*d^2 - 16*A^3*a*b^15*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(- ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 + 896*A*a^6*b^15*d^4 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 96*A^3*a^3*b^13*d^2 - 240*A^3*a^5*b^11*d^2 - 320*A^3*a^7*b^9*d^2 - 240*A^3*a^9*b^7*d^2 - 96*A^3*a^11*b^5*d^2 - 16*A^3*a^13*b^3*d^2 - 16*A^3*a*b^15*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(40*B^3*a^8*b^8*d^2 - 8*B^3*b^16*d^2 - 40*B^3*a^2*b^14*d^2 - 72*B^3*a^4*b^12*d^2 - 40*B^3*a^6*b^10*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - ((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(96*B*a*b^20*d^4 - ((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(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 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))/4)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 + 72*B^3*a^10*b^6*d^2 + 40*B^3*a^12*b^4*d^2 + 8*B^3*a^14*b^2*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 + (log(40*B^3*a^8*b^8*d^2 - 8*B^3*b^16*d^2 - 40*B^3*a^2*b^14*d^2 - 72*B^3*a^4*b^12*d^2 - 40*B^3*a^6*b^10*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - ((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(96*B*a*b^20*d^4 - ((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(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 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))/4)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 + 72*B^3*a^10*b^6*d^2 + 40*B^3*a^12*b^4*d^2 + 8*B^3*a^14*b^2*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 - log(((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 96*B*a*b^20*d^4 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 8*B^3*b^16*d^2 - 40*B^3*a^2*b^14*d^2 - 72*B^3*a^4*b^12*d^2 - 40*B^3*a^6*b^10*d^2 + 40*B^3*a^8*b^8*d^2 + 72*B^3*a^10*b^6*d^2 + 40*B^3*a^12*b^4*d^2 + 8*B^3*a^14*b^2*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 96*B*a*b^20*d^4 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 8*B^3*b^16*d^2 - 40*B^3*a^2*b^14*d^2 - 72*B^3*a^4*b^12*d^2 - 40*B^3*a^6*b^10*d^2 + 40*B^3*a^8*b^8*d^2 + 72*B^3*a^10*b^6*d^2 + 40*B^3*a^12*b^4*d^2 + 8*B^3*a^14*b^2*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + ((2*B*a^3)/(3*(a^2 + b^2)) - (2*B*(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)) - ((2*A*a^2)/(3*(a^2 + b^2)) - (4*A*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"
360,1,9464,188,22.343559,"\text{Not used}","int((tan(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(896\,B\,a^6\,b^{15}\,d^4-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4-\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(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}+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)}{4}\right)}{4}-96\,B^3\,a^3\,b^{13}\,d^2-240\,B^3\,a^5\,b^{11}\,d^2-320\,B^3\,a^7\,b^9\,d^2-240\,B^3\,a^9\,b^7\,d^2-96\,B^3\,a^{11}\,b^5\,d^2-16\,B^3\,a^{13}\,b^3\,d^2-16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(896\,B\,a^6\,b^{15}\,d^4-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4-\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(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}+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)}{4}\right)}{4}-96\,B^3\,a^3\,b^{13}\,d^2-240\,B^3\,a^5\,b^{11}\,d^2-320\,B^3\,a^7\,b^9\,d^2-240\,B^3\,a^9\,b^7\,d^2-96\,B^3\,a^{11}\,b^5\,d^2-16\,B^3\,a^{13}\,b^3\,d^2-16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}-\ln\left(-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4+896\,B\,a^6\,b^{15}\,d^4+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)\right)-96\,B^3\,a^3\,b^{13}\,d^2-240\,B^3\,a^5\,b^{11}\,d^2-320\,B^3\,a^7\,b^9\,d^2-240\,B^3\,a^9\,b^7\,d^2-96\,B^3\,a^{11}\,b^5\,d^2-16\,B^3\,a^{13}\,b^3\,d^2-16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)-32\,B\,b^{21}\,d^4-160\,B\,a^2\,b^{19}\,d^4-128\,B\,a^4\,b^{17}\,d^4+896\,B\,a^6\,b^{15}\,d^4+3136\,B\,a^8\,b^{13}\,d^4+4928\,B\,a^{10}\,b^{11}\,d^4+4480\,B\,a^{12}\,b^9\,d^4+2432\,B\,a^{14}\,b^7\,d^4+736\,B\,a^{16}\,b^5\,d^4+96\,B\,a^{18}\,b^3\,d^4\right)\right)-96\,B^3\,a^3\,b^{13}\,d^2-240\,B^3\,a^5\,b^{11}\,d^2-320\,B^3\,a^7\,b^9\,d^2-240\,B^3\,a^9\,b^7\,d^2-96\,B^3\,a^{11}\,b^5\,d^2-16\,B^3\,a^{13}\,b^3\,d^2-16\,B^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(8\,A^3\,b^{16}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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(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}+96\,A\,a\,b^{20}\,d^4+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}+40\,A^3\,a^2\,b^{14}\,d^2+72\,A^3\,a^4\,b^{12}\,d^2+40\,A^3\,a^6\,b^{10}\,d^2-40\,A^3\,a^8\,b^8\,d^2-72\,A^3\,a^{10}\,b^6\,d^2-40\,A^3\,a^{12}\,b^4\,d^2-8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(8\,A^3\,b^{16}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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(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}+96\,A\,a\,b^{20}\,d^4+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}+40\,A^3\,a^2\,b^{14}\,d^2+72\,A^3\,a^4\,b^{12}\,d^2+40\,A^3\,a^6\,b^{10}\,d^2-40\,A^3\,a^8\,b^8\,d^2-72\,A^3\,a^{10}\,b^6\,d^2-40\,A^3\,a^{12}\,b^4\,d^2-8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,A\,a\,b^{20}\,d^4-\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+8\,A^3\,b^{16}\,d^2+40\,A^3\,a^2\,b^{14}\,d^2+72\,A^3\,a^4\,b^{12}\,d^2+40\,A^3\,a^6\,b^{10}\,d^2-40\,A^3\,a^8\,b^8\,d^2-72\,A^3\,a^{10}\,b^6\,d^2-40\,A^3\,a^{12}\,b^4\,d^2-8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,A\,a\,b^{20}\,d^4-\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,A\,a^3\,b^{18}\,d^4+2432\,A\,a^5\,b^{16}\,d^4+4480\,A\,a^7\,b^{14}\,d^4+4928\,A\,a^9\,b^{12}\,d^4+3136\,A\,a^{11}\,b^{10}\,d^4+896\,A\,a^{13}\,b^8\,d^4-128\,A\,a^{15}\,b^6\,d^4-160\,A\,a^{17}\,b^4\,d^4-32\,A\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+8\,A^3\,b^{16}\,d^2+40\,A^3\,a^2\,b^{14}\,d^2+72\,A^3\,a^4\,b^{12}\,d^2+40\,A^3\,a^6\,b^{10}\,d^2-40\,A^3\,a^8\,b^8\,d^2-72\,A^3\,a^{10}\,b^6\,d^2-40\,A^3\,a^{12}\,b^4\,d^2-8\,A^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\frac{2\,A\,a}{3\,\left(a^2+b^2\right)}+\frac{2\,A\,\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}}-\frac{\frac{2\,B\,a^2}{3\,\left(a^2+b^2\right)}-\frac{4\,B\,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}}","Not used",1,"(log(((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + ((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(896*B*a^6*b^15*d^4 - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 - ((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(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 + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4))/4))/4 - 96*B^3*a^3*b^13*d^2 - 240*B^3*a^5*b^11*d^2 - 320*B^3*a^7*b^9*d^2 - 240*B^3*a^9*b^7*d^2 - 96*B^3*a^11*b^5*d^2 - 16*B^3*a^13*b^3*d^2 - 16*B^3*a*b^15*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 + (log(((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + ((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(896*B*a^6*b^15*d^4 - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 - ((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(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 + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4))/4))/4 - 96*B^3*a^3*b^13*d^2 - 240*B^3*a^5*b^11*d^2 - 320*B^3*a^7*b^9*d^2 - 240*B^3*a^9*b^7*d^2 - 96*B^3*a^11*b^5*d^2 - 16*B^3*a^13*b^3*d^2 - 16*B^3*a*b^15*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 - log(- (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 + 896*B*a^6*b^15*d^4 + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4)) - 96*B^3*a^3*b^13*d^2 - 240*B^3*a^5*b^11*d^2 - 320*B^3*a^7*b^9*d^2 - 240*B^3*a^9*b^7*d^2 - 96*B^3*a^11*b^5*d^2 - 16*B^3*a^13*b^3*d^2 - 16*B^3*a*b^15*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(- (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) - 32*B*b^21*d^4 - 160*B*a^2*b^19*d^4 - 128*B*a^4*b^17*d^4 + 896*B*a^6*b^15*d^4 + 3136*B*a^8*b^13*d^4 + 4928*B*a^10*b^11*d^4 + 4480*B*a^12*b^9*d^4 + 2432*B*a^14*b^7*d^4 + 736*B*a^16*b^5*d^4 + 96*B*a^18*b^3*d^4)) - 96*B^3*a^3*b^13*d^2 - 240*B^3*a^5*b^11*d^2 - 320*B^3*a^7*b^9*d^2 - 240*B^3*a^9*b^7*d^2 - 96*B^3*a^11*b^5*d^2 - 16*B^3*a^13*b^3*d^2 - 16*B^3*a*b^15*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(8*A^3*b^16*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + ((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(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 + 96*A*a*b^20*d^4 + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))/4)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 + 40*A^3*a^2*b^14*d^2 + 72*A^3*a^4*b^12*d^2 + 40*A^3*a^6*b^10*d^2 - 40*A^3*a^8*b^8*d^2 - 72*A^3*a^10*b^6*d^2 - 40*A^3*a^12*b^4*d^2 - 8*A^3*a^14*b^2*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 + (log(8*A^3*b^16*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + ((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(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 + 96*A*a*b^20*d^4 + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))/4)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 + 40*A^3*a^2*b^14*d^2 + 72*A^3*a^4*b^12*d^2 + 40*A^3*a^6*b^10*d^2 - 40*A^3*a^8*b^8*d^2 - 72*A^3*a^10*b^6*d^2 - 40*A^3*a^12*b^4*d^2 - 8*A^3*a^14*b^2*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 - log(((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*A*a*b^20*d^4 - (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 8*A^3*b^16*d^2 + 40*A^3*a^2*b^14*d^2 + 72*A^3*a^4*b^12*d^2 + 40*A^3*a^6*b^10*d^2 - 40*A^3*a^8*b^8*d^2 - 72*A^3*a^10*b^6*d^2 - 40*A^3*a^12*b^4*d^2 - 8*A^3*a^14*b^2*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*A*a*b^20*d^4 - (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*A*a^3*b^18*d^4 + 2432*A*a^5*b^16*d^4 + 4480*A*a^7*b^14*d^4 + 4928*A*a^9*b^12*d^4 + 3136*A*a^11*b^10*d^4 + 896*A*a^13*b^8*d^4 - 128*A*a^15*b^6*d^4 - 160*A*a^17*b^4*d^4 - 32*A*a^19*b^2*d^4))*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 8*A^3*b^16*d^2 + 40*A^3*a^2*b^14*d^2 + 72*A^3*a^4*b^12*d^2 + 40*A^3*a^6*b^10*d^2 - 40*A^3*a^8*b^8*d^2 - 72*A^3*a^10*b^6*d^2 - 40*A^3*a^12*b^4*d^2 - 8*A^3*a^14*b^2*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + ((2*A*a)/(3*(a^2 + b^2)) + (2*A*(a^2 - b^2)*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2)) - ((2*B*a^2)/(3*(a^2 + b^2)) - (4*B*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"
361,1,9457,185,22.950219,"\text{Not used}","int((A + B*tan(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(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\frac{\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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(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}-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4+896\,A\,a^6\,b^{15}\,d^4+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}+96\,A^3\,a^3\,b^{13}\,d^2+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)-\frac{\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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(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}-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4+896\,A\,a^6\,b^{15}\,d^4+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}+96\,A^3\,a^3\,b^{13}\,d^2+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,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}}}{4}-\ln\left(96\,A^3\,a^3\,b^{13}\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,A\,a^6\,b^{15}\,d^4-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4-\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}-4\,A^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(96\,A^3\,a^3\,b^{13}\,d^2-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^2\,a^{16}\,b^2\,d^3+320\,A^2\,a^{12}\,b^6\,d^3+1024\,A^2\,a^{10}\,b^8\,d^3+1440\,A^2\,a^8\,b^{10}\,d^3+1024\,A^2\,a^6\,b^{12}\,d^3+320\,A^2\,a^4\,b^{14}\,d^3-16\,A^2\,b^{18}\,d^3\right)+\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,A\,a^6\,b^{15}\,d^4-32\,A\,b^{21}\,d^4-160\,A\,a^2\,b^{19}\,d^4-128\,A\,a^4\,b^{17}\,d^4-\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,A\,a^8\,b^{13}\,d^4+4928\,A\,a^{10}\,b^{11}\,d^4+4480\,A\,a^{12}\,b^9\,d^4+2432\,A\,a^{14}\,b^7\,d^4+736\,A\,a^{16}\,b^5\,d^4+96\,A\,a^{18}\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+240\,A^3\,a^5\,b^{11}\,d^2+320\,A^3\,a^7\,b^9\,d^2+240\,A^3\,a^9\,b^7\,d^2+96\,A^3\,a^{11}\,b^5\,d^2+16\,A^3\,a^{13}\,b^3\,d^2+16\,A^3\,a\,b^{15}\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,A^4\,a^8\,b^2\,d^4+1600\,A^4\,a^6\,b^4\,d^4-1760\,A^4\,a^4\,b^6\,d^4+320\,A^4\,a^2\,b^8\,d^4-16\,A^4\,b^{10}\,d^4}+4\,A^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+20\,A^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(8\,B^3\,b^{16}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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(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}+96\,B\,a\,b^{20}\,d^4+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,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}}}{4}+\frac{\ln\left(8\,B^3\,b^{16}\,d^2-\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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(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}+96\,B\,a\,b^{20}\,d^4+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,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}}}{4}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,B\,a\,b^{20}\,d^4-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+8\,B^3\,b^{16}\,d^2+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^5\,d^2-40\,B^2\,a^3\,b^2\,d^2+20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^2\,d^3+320\,B^2\,a^{12}\,b^6\,d^3+1024\,B^2\,a^{10}\,b^8\,d^3+1440\,B^2\,a^8\,b^{10}\,d^3+1024\,B^2\,a^6\,b^{12}\,d^3+320\,B^2\,a^4\,b^{14}\,d^3-16\,B^2\,b^{18}\,d^3\right)-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,B\,a\,b^{20}\,d^4-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,B\,a^3\,b^{18}\,d^4+2432\,B\,a^5\,b^{16}\,d^4+4480\,B\,a^7\,b^{14}\,d^4+4928\,B\,a^9\,b^{12}\,d^4+3136\,B\,a^{11}\,b^{10}\,d^4+896\,B\,a^{13}\,b^8\,d^4-128\,B\,a^{15}\,b^6\,d^4-160\,B\,a^{17}\,b^4\,d^4-32\,B\,a^{19}\,b^2\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+8\,B^3\,b^{16}\,d^2+40\,B^3\,a^2\,b^{14}\,d^2+72\,B^3\,a^4\,b^{12}\,d^2+40\,B^3\,a^6\,b^{10}\,d^2-40\,B^3\,a^8\,b^8\,d^2-72\,B^3\,a^{10}\,b^6\,d^2-40\,B^3\,a^{12}\,b^4\,d^2-8\,B^3\,a^{14}\,b^2\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^2\,d^4+1600\,B^4\,a^6\,b^4\,d^4-1760\,B^4\,a^4\,b^6\,d^4+320\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^5\,d^2+40\,B^2\,a^3\,b^2\,d^2-20\,B^2\,a\,b^4\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\frac{2\,B\,a}{3\,\left(a^2+b^2\right)}+\frac{2\,B\,\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}}-\frac{\frac{2\,A\,b}{3\,\left(a^2+b^2\right)}+\frac{4\,A\,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}}","Not used",1,"(log((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - ((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(((((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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)*(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 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 + 896*A*a^6*b^15*d^4 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))/4)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 + 96*A^3*a^3*b^13*d^2 + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*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))/4 + (log((((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) - ((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(((-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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)*(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 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 + 896*A*a^6*b^15*d^4 + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))/4)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 + 96*A^3*a^3*b^13*d^2 + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*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))/4 - log(96*A^3*a^3*b^13*d^2 - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*A*a^6*b^15*d^4 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 - (((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) - 4*A^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(96*A^3*a^3*b^13*d^2 - ((a + b*tan(c + d*x))^(1/2)*(320*A^2*a^4*b^14*d^3 - 16*A^2*b^18*d^3 + 1024*A^2*a^6*b^12*d^3 + 1440*A^2*a^8*b^10*d^3 + 1024*A^2*a^10*b^8*d^3 + 320*A^2*a^12*b^6*d^3 - 16*A^2*a^16*b^2*d^3) + (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*A*a^6*b^15*d^4 - 32*A*b^21*d^4 - 160*A*a^2*b^19*d^4 - 128*A*a^4*b^17*d^4 - (-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*A*a^8*b^13*d^4 + 4928*A*a^10*b^11*d^4 + 4480*A*a^12*b^9*d^4 + 2432*A*a^14*b^7*d^4 + 736*A*a^16*b^5*d^4 + 96*A*a^18*b^3*d^4))*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 240*A^3*a^5*b^11*d^2 + 320*A^3*a^7*b^9*d^2 + 240*A^3*a^9*b^7*d^2 + 96*A^3*a^11*b^5*d^2 + 16*A^3*a^13*b^3*d^2 + 16*A^3*a*b^15*d^2)*(-((320*A^4*a^2*b^8*d^4 - 16*A^4*b^10*d^4 - 1760*A^4*a^4*b^6*d^4 + 1600*A^4*a^6*b^4*d^4 - 400*A^4*a^8*b^2*d^4)^(1/2) + 4*A^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 20*A^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(8*B^3*b^16*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + ((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(((((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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)*(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 + 96*B*a*b^20*d^4 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))/4)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*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))/4 + (log(8*B^3*b^16*d^2 - (((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) + ((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(((-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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)*(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 + 96*B*a*b^20*d^4 + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))/4)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*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))/4 - log(((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*B*a*b^20*d^4 - (((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 8*B^3*b^16*d^2 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 40*B^2*a^3*b^2*d^2 + 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^14*d^3 - 16*B^2*b^18*d^3 + 1024*B^2*a^6*b^12*d^3 + 1440*B^2*a^8*b^10*d^3 + 1024*B^2*a^10*b^8*d^3 + 320*B^2*a^12*b^6*d^3 - 16*B^2*a^16*b^2*d^3) - (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*B*a*b^20*d^4 - (-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*B*a^3*b^18*d^4 + 2432*B*a^5*b^16*d^4 + 4480*B*a^7*b^14*d^4 + 4928*B*a^9*b^12*d^4 + 3136*B*a^11*b^10*d^4 + 896*B*a^13*b^8*d^4 - 128*B*a^15*b^6*d^4 - 160*B*a^17*b^4*d^4 - 32*B*a^19*b^2*d^4))*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 8*B^3*b^16*d^2 + 40*B^3*a^2*b^14*d^2 + 72*B^3*a^4*b^12*d^2 + 40*B^3*a^6*b^10*d^2 - 40*B^3*a^8*b^8*d^2 - 72*B^3*a^10*b^6*d^2 - 40*B^3*a^12*b^4*d^2 - 8*B^3*a^14*b^2*d^2)*(-((320*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 1760*B^4*a^4*b^6*d^4 + 1600*B^4*a^6*b^4*d^4 - 400*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 40*B^2*a^3*b^2*d^2 - 20*B^2*a*b^4*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + ((2*B*a)/(3*(a^2 + b^2)) + (2*B*(a^2 - b^2)*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2)) - ((2*A*b)/(3*(a^2 + b^2)) + (4*A*a*b*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2))","B"
362,1,45681,224,15.743566,"\text{Not used}","int((cot(c + d*x)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)","\mathrm{atan}\left(-\frac{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(512\,A\,a^{16}\,b^{46}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6+1413984\,A^3\,a^{33}\,b^{24}\,d^6+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1413984\,A^3\,a^{33}\,b^{24}\,d^6-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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\,a^{16}\,b^{46}\,d^8+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(512\,A\,a^{16}\,b^{46}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6+1413984\,A^3\,a^{33}\,b^{24}\,d^6+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1413984\,A^3\,a^{33}\,b^{24}\,d^6-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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\,a^{16}\,b^{46}\,d^8+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+64\,A^5\,a^{14}\,b^{38}\,d^4+896\,A^5\,a^{16}\,b^{36}\,d^4+5824\,A^5\,a^{18}\,b^{34}\,d^4+23296\,A^5\,a^{20}\,b^{32}\,d^4+64064\,A^5\,a^{22}\,b^{30}\,d^4+128128\,A^5\,a^{24}\,b^{28}\,d^4+192192\,A^5\,a^{26}\,b^{26}\,d^4+219648\,A^5\,a^{28}\,b^{24}\,d^4+192192\,A^5\,a^{30}\,b^{22}\,d^4+128128\,A^5\,a^{32}\,b^{20}\,d^4+64064\,A^5\,a^{34}\,b^{18}\,d^4+23296\,A^5\,a^{36}\,b^{16}\,d^4+5824\,A^5\,a^{38}\,b^{14}\,d^4+896\,A^5\,a^{40}\,b^{12}\,d^4+64\,A^5\,a^{42}\,b^{10}\,d^4+64\,A\,B^4\,a^{16}\,b^{36}\,d^4+896\,A\,B^4\,a^{18}\,b^{34}\,d^4+5824\,A\,B^4\,a^{20}\,b^{32}\,d^4+23296\,A\,B^4\,a^{22}\,b^{30}\,d^4+64064\,A\,B^4\,a^{24}\,b^{28}\,d^4+128128\,A\,B^4\,a^{26}\,b^{26}\,d^4+192192\,A\,B^4\,a^{28}\,b^{24}\,d^4+219648\,A\,B^4\,a^{30}\,b^{22}\,d^4+192192\,A\,B^4\,a^{32}\,b^{20}\,d^4+128128\,A\,B^4\,a^{34}\,b^{18}\,d^4+64064\,A\,B^4\,a^{36}\,b^{16}\,d^4+23296\,A\,B^4\,a^{38}\,b^{14}\,d^4+5824\,A\,B^4\,a^{40}\,b^{12}\,d^4+896\,A\,B^4\,a^{42}\,b^{10}\,d^4+64\,A\,B^4\,a^{44}\,b^8\,d^4-128\,A^4\,B\,a^{15}\,b^{37}\,d^4-1792\,A^4\,B\,a^{17}\,b^{35}\,d^4-11648\,A^4\,B\,a^{19}\,b^{33}\,d^4-46592\,A^4\,B\,a^{21}\,b^{31}\,d^4-128128\,A^4\,B\,a^{23}\,b^{29}\,d^4-256256\,A^4\,B\,a^{25}\,b^{27}\,d^4-384384\,A^4\,B\,a^{27}\,b^{25}\,d^4-439296\,A^4\,B\,a^{29}\,b^{23}\,d^4-384384\,A^4\,B\,a^{31}\,b^{21}\,d^4-256256\,A^4\,B\,a^{33}\,b^{19}\,d^4-128128\,A^4\,B\,a^{35}\,b^{17}\,d^4-46592\,A^4\,B\,a^{37}\,b^{15}\,d^4-11648\,A^4\,B\,a^{39}\,b^{13}\,d^4-1792\,A^4\,B\,a^{41}\,b^{11}\,d^4-128\,A^4\,B\,a^{43}\,b^9\,d^4-128\,A^2\,B^3\,a^{15}\,b^{37}\,d^4-1792\,A^2\,B^3\,a^{17}\,b^{35}\,d^4-11648\,A^2\,B^3\,a^{19}\,b^{33}\,d^4-46592\,A^2\,B^3\,a^{21}\,b^{31}\,d^4-128128\,A^2\,B^3\,a^{23}\,b^{29}\,d^4-256256\,A^2\,B^3\,a^{25}\,b^{27}\,d^4-384384\,A^2\,B^3\,a^{27}\,b^{25}\,d^4-439296\,A^2\,B^3\,a^{29}\,b^{23}\,d^4-384384\,A^2\,B^3\,a^{31}\,b^{21}\,d^4-256256\,A^2\,B^3\,a^{33}\,b^{19}\,d^4-128128\,A^2\,B^3\,a^{35}\,b^{17}\,d^4-46592\,A^2\,B^3\,a^{37}\,b^{15}\,d^4-11648\,A^2\,B^3\,a^{39}\,b^{13}\,d^4-1792\,A^2\,B^3\,a^{41}\,b^{11}\,d^4-128\,A^2\,B^3\,a^{43}\,b^9\,d^4+64\,A^3\,B^2\,a^{14}\,b^{38}\,d^4+960\,A^3\,B^2\,a^{16}\,b^{36}\,d^4+6720\,A^3\,B^2\,a^{18}\,b^{34}\,d^4+29120\,A^3\,B^2\,a^{20}\,b^{32}\,d^4+87360\,A^3\,B^2\,a^{22}\,b^{30}\,d^4+192192\,A^3\,B^2\,a^{24}\,b^{28}\,d^4+320320\,A^3\,B^2\,a^{26}\,b^{26}\,d^4+411840\,A^3\,B^2\,a^{28}\,b^{24}\,d^4+411840\,A^3\,B^2\,a^{30}\,b^{22}\,d^4+320320\,A^3\,B^2\,a^{32}\,b^{20}\,d^4+192192\,A^3\,B^2\,a^{34}\,b^{18}\,d^4+87360\,A^3\,B^2\,a^{36}\,b^{16}\,d^4+29120\,A^3\,B^2\,a^{38}\,b^{14}\,d^4+6720\,A^3\,B^2\,a^{40}\,b^{12}\,d^4+960\,A^3\,B^2\,a^{42}\,b^{10}\,d^4+64\,A^3\,B^2\,a^{44}\,b^8\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(-\frac{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(512\,A\,a^{16}\,b^{46}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6+1413984\,A^3\,a^{33}\,b^{24}\,d^6+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1413984\,A^3\,a^{33}\,b^{24}\,d^6-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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\,a^{16}\,b^{46}\,d^8+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(512\,A\,a^{16}\,b^{46}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6+1413984\,A^3\,a^{33}\,b^{24}\,d^6+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1413984\,A^3\,a^{33}\,b^{24}\,d^6-384\,A^3\,a^{15}\,b^{42}\,d^6-7296\,A^3\,a^{17}\,b^{40}\,d^6-59424\,A^3\,a^{19}\,b^{38}\,d^6-280992\,A^3\,a^{21}\,b^{36}\,d^6-866208\,A^3\,a^{23}\,b^{34}\,d^6-1825824\,A^3\,a^{25}\,b^{32}\,d^6-2629536\,A^3\,a^{27}\,b^{30}\,d^6-2374944\,A^3\,a^{29}\,b^{28}\,d^6-727584\,A^3\,a^{31}\,b^{26}\,d^6-\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,A^2\,a^{51}\,b^8\,d^7+6144\,A^2\,a^{49}\,b^{10}\,d^7+28416\,A^2\,a^{47}\,b^{12}\,d^7+76288\,A^2\,a^{45}\,b^{14}\,d^7+154368\,A^2\,a^{43}\,b^{16}\,d^7+376320\,A^2\,a^{41}\,b^{18}\,d^7+1164800\,A^2\,a^{39}\,b^{20}\,d^7+3095040\,A^2\,a^{37}\,b^{22}\,d^7+6095232\,A^2\,a^{35}\,b^{24}\,d^7+8859136\,A^2\,a^{33}\,b^{26}\,d^7+9664512\,A^2\,a^{31}\,b^{28}\,d^7+8007168\,A^2\,a^{29}\,b^{30}\,d^7+5055232\,A^2\,a^{27}\,b^{32}\,d^7+2419200\,A^2\,a^{25}\,b^{34}\,d^7+864768\,A^2\,a^{23}\,b^{36}\,d^7+224768\,A^2\,a^{21}\,b^{38}\,d^7+40512\,A^2\,a^{19}\,b^{40}\,d^7+4608\,A^2\,a^{17}\,b^{42}\,d^7+256\,A^2\,a^{15}\,b^{44}\,d^7+3072\,A\,B\,a^{50}\,b^9\,d^7+37376\,A\,B\,a^{48}\,b^{11}\,d^7+201216\,A\,B\,a^{46}\,b^{13}\,d^7+612864\,A\,B\,a^{44}\,b^{15}\,d^7+1071616\,A\,B\,a^{42}\,b^{17}\,d^7+698880\,A\,B\,a^{40}\,b^{19}\,d^7-1537536\,A\,B\,a^{38}\,b^{21}\,d^7-5344768\,A\,B\,a^{36}\,b^{23}\,d^7-8566272\,A\,B\,a^{34}\,b^{25}\,d^7-9005568\,A\,B\,a^{32}\,b^{27}\,d^7-6662656\,A\,B\,a^{30}\,b^{29}\,d^7-3494400\,A\,B\,a^{28}\,b^{31}\,d^7-1257984\,A\,B\,a^{26}\,b^{33}\,d^7-283136\,A\,B\,a^{24}\,b^{35}\,d^7-29184\,A\,B\,a^{22}\,b^{37}\,d^7+1536\,A\,B\,a^{20}\,b^{39}\,d^7+512\,A\,B\,a^{18}\,b^{41}\,d^7-320\,B^2\,a^{51}\,b^8\,d^7-1536\,B^2\,a^{49}\,b^{10}\,d^7+10752\,B^2\,a^{47}\,b^{12}\,d^7+132608\,B^2\,a^{45}\,b^{14}\,d^7+628992\,B^2\,a^{43}\,b^{16}\,d^7+1817088\,B^2\,a^{41}\,b^{18}\,d^7+3587584\,B^2\,a^{39}\,b^{20}\,d^7+5051904\,B^2\,a^{37}\,b^{22}\,d^7+5106816\,B^2\,a^{35}\,b^{24}\,d^7+3587584\,B^2\,a^{33}\,b^{26}\,d^7+1537536\,B^2\,a^{31}\,b^{28}\,d^7+139776\,B^2\,a^{29}\,b^{30}\,d^7-302848\,B^2\,a^{27}\,b^{32}\,d^7-225792\,B^2\,a^{25}\,b^{34}\,d^7-81408\,B^2\,a^{23}\,b^{36}\,d^7-15872\,B^2\,a^{21}\,b^{38}\,d^7-1344\,B^2\,a^{19}\,b^{40}\,d^7\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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\,a^{16}\,b^{46}\,d^8+9728\,A\,a^{18}\,b^{44}\,d^8+87936\,A\,a^{20}\,b^{42}\,d^8+502144\,A\,a^{22}\,b^{40}\,d^8+2028544\,A\,a^{24}\,b^{38}\,d^8+6153216\,A\,a^{26}\,b^{36}\,d^8+14518784\,A\,a^{28}\,b^{34}\,d^8+27243008\,A\,a^{30}\,b^{32}\,d^8+41213952\,A\,a^{32}\,b^{30}\,d^8+50665472\,A\,a^{34}\,b^{28}\,d^8+50775296\,A\,a^{36}\,b^{26}\,d^8+41443584\,A\,a^{38}\,b^{24}\,d^8+27409408\,A\,a^{40}\,b^{22}\,d^8+14543872\,A\,a^{42}\,b^{20}\,d^8+6093312\,A\,a^{44}\,b^{18}\,d^8+1966592\,A\,a^{46}\,b^{16}\,d^8+470528\,A\,a^{48}\,b^{14}\,d^8+78336\,A\,a^{50}\,b^{12}\,d^8+8064\,A\,a^{52}\,b^{10}\,d^8+384\,A\,a^{54}\,b^8\,d^8+128\,B\,a^{19}\,b^{43}\,d^8+1664\,B\,a^{21}\,b^{41}\,d^8+9216\,B\,a^{23}\,b^{39}\,d^8+25600\,B\,a^{25}\,b^{37}\,d^8+17920\,B\,a^{27}\,b^{35}\,d^8-139776\,B\,a^{29}\,b^{33}\,d^8-652288\,B\,a^{31}\,b^{31}\,d^8-1610752\,B\,a^{33}\,b^{29}\,d^8-2745600\,B\,a^{35}\,b^{27}\,d^8-3477760\,B\,a^{37}\,b^{25}\,d^8-3367936\,B\,a^{39}\,b^{23}\,d^8-2515968\,B\,a^{41}\,b^{21}\,d^8-1444352\,B\,a^{43}\,b^{19}\,d^8-627200\,B\,a^{45}\,b^{17}\,d^8-199680\,B\,a^{47}\,b^{15}\,d^8-44032\,B\,a^{49}\,b^{13}\,d^8-6016\,B\,a^{51}\,b^{11}\,d^8-384\,B\,a^{53}\,b^9\,d^8\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+2649504\,A^3\,a^{35}\,b^{22}\,d^6+2454816\,A^3\,a^{37}\,b^{20}\,d^6+1476384\,A^3\,a^{39}\,b^{18}\,d^6+597408\,A^3\,a^{41}\,b^{16}\,d^6+156192\,A^3\,a^{43}\,b^{14}\,d^6+22944\,A^3\,a^{45}\,b^{12}\,d^6+1056\,A^3\,a^{47}\,b^{10}\,d^6-96\,A^3\,a^{49}\,b^8\,d^6+64\,B^3\,a^{20}\,b^{37}\,d^6+896\,B^3\,a^{22}\,b^{35}\,d^6+5824\,B^3\,a^{24}\,b^{33}\,d^6+23296\,B^3\,a^{26}\,b^{31}\,d^6+64064\,B^3\,a^{28}\,b^{29}\,d^6+128128\,B^3\,a^{30}\,b^{27}\,d^6+192192\,B^3\,a^{32}\,b^{25}\,d^6+219648\,B^3\,a^{34}\,b^{23}\,d^6+192192\,B^3\,a^{36}\,b^{21}\,d^6+128128\,B^3\,a^{38}\,b^{19}\,d^6+64064\,B^3\,a^{40}\,b^{17}\,d^6+23296\,B^3\,a^{42}\,b^{15}\,d^6+5824\,B^3\,a^{44}\,b^{13}\,d^6+896\,B^3\,a^{46}\,b^{11}\,d^6+64\,B^3\,a^{48}\,b^9\,d^6+1280\,A\,B^2\,a^{17}\,b^{40}\,d^6+15328\,A\,B^2\,a^{19}\,b^{38}\,d^6+80480\,A\,B^2\,a^{21}\,b^{36}\,d^6+234080\,A\,B^2\,a^{23}\,b^{34}\,d^6+364000\,A\,B^2\,a^{25}\,b^{32}\,d^6+72800\,A\,B^2\,a^{27}\,b^{30}\,d^6-1057056\,A\,B^2\,a^{29}\,b^{28}\,d^6-2814240\,A\,B^2\,a^{31}\,b^{26}\,d^6-4187040\,A\,B^2\,a^{33}\,b^{24}\,d^6-4232800\,A\,B^2\,a^{35}\,b^{22}\,d^6-3043040\,A\,B^2\,a^{37}\,b^{20}\,d^6-1552096\,A\,B^2\,a^{39}\,b^{18}\,d^6-538720\,A\,B^2\,a^{41}\,b^{16}\,d^6-113120\,A\,B^2\,a^{43}\,b^{14}\,d^6-8800\,A\,B^2\,a^{45}\,b^{12}\,d^6+1440\,A\,B^2\,a^{47}\,b^{10}\,d^6+288\,A\,B^2\,a^{49}\,b^8\,d^6-128\,A^2\,B\,a^{14}\,b^{43}\,d^6-2176\,A^2\,B\,a^{16}\,b^{41}\,d^6-11264\,A^2\,B\,a^{18}\,b^{39}\,d^6-3008\,A^2\,B\,a^{20}\,b^{37}\,d^6+226688\,A^2\,B\,a^{22}\,b^{35}\,d^6+1263808\,A^2\,B\,a^{24}\,b^{33}\,d^6+3843840\,A^2\,B\,a^{26}\,b^{31}\,d^6+7824960\,A^2\,B\,a^{28}\,b^{29}\,d^6+11366784\,A^2\,B\,a^{30}\,b^{27}\,d^6+12016576\,A^2\,B\,a^{32}\,b^{25}\,d^6+9152000\,A^2\,B\,a^{34}\,b^{23}\,d^6+4758208\,A^2\,B\,a^{36}\,b^{21}\,d^6+1386112\,A^2\,B\,a^{38}\,b^{19}\,d^6-54208\,A^2\,B\,a^{40}\,b^{17}\,d^6-250112\,A^2\,B\,a^{42}\,b^{15}\,d^6-111936\,A^2\,B\,a^{44}\,b^{13}\,d^6-23808\,A^2\,B\,a^{46}\,b^{11}\,d^6-2112\,A^2\,B\,a^{48}\,b^9\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,A^4\,a^{46}\,b^8\,d^5+960\,A^4\,a^{44}\,b^{10}\,d^5+3424\,A^4\,a^{42}\,b^{12}\,d^5+896\,A^4\,a^{40}\,b^{14}\,d^5-37856\,A^4\,a^{38}\,b^{16}\,d^5-168896\,A^4\,a^{36}\,b^{18}\,d^5-416416\,A^4\,a^{34}\,b^{20}\,d^5-695552\,A^4\,a^{32}\,b^{22}\,d^5-837408\,A^4\,a^{30}\,b^{24}\,d^5-741312\,A^4\,a^{28}\,b^{26}\,d^5-480480\,A^4\,a^{26}\,b^{28}\,d^5-221312\,A^4\,a^{24}\,b^{30}\,d^5-66976\,A^4\,a^{22}\,b^{32}\,d^5-10304\,A^4\,a^{20}\,b^{34}\,d^5+544\,A^4\,a^{18}\,b^{36}\,d^5+512\,A^4\,a^{16}\,b^{38}\,d^5+64\,A^4\,a^{14}\,b^{40}\,d^5+512\,A^3\,B\,a^{45}\,b^9\,d^5+6656\,A^3\,B\,a^{43}\,b^{11}\,d^5+39424\,A^3\,B\,a^{41}\,b^{13}\,d^5+139776\,A^3\,B\,a^{39}\,b^{15}\,d^5+326144\,A^3\,B\,a^{37}\,b^{17}\,d^5+512512\,A^3\,B\,a^{35}\,b^{19}\,d^5+512512\,A^3\,B\,a^{33}\,b^{21}\,d^5+219648\,A^3\,B\,a^{31}\,b^{23}\,d^5-219648\,A^3\,B\,a^{29}\,b^{25}\,d^5-512512\,A^3\,B\,a^{27}\,b^{27}\,d^5-512512\,A^3\,B\,a^{25}\,b^{29}\,d^5-326144\,A^3\,B\,a^{23}\,b^{31}\,d^5-139776\,A^3\,B\,a^{21}\,b^{33}\,d^5-39424\,A^3\,B\,a^{19}\,b^{35}\,d^5-6656\,A^3\,B\,a^{17}\,b^{37}\,d^5-512\,A^3\,B\,a^{15}\,b^{39}\,d^5+384\,A^2\,B^2\,a^{44}\,b^{10}\,d^5+5312\,A^2\,B^2\,a^{42}\,b^{12}\,d^5+34048\,A^2\,B^2\,a^{40}\,b^{14}\,d^5+133952\,A^2\,B^2\,a^{38}\,b^{16}\,d^5+361088\,A^2\,B^2\,a^{36}\,b^{18}\,d^5+704704\,A^2\,B^2\,a^{34}\,b^{20}\,d^5+1025024\,A^2\,B^2\,a^{32}\,b^{22}\,d^5+1125696\,A^2\,B^2\,a^{30}\,b^{24}\,d^5+933504\,A^2\,B^2\,a^{28}\,b^{26}\,d^5+576576\,A^2\,B^2\,a^{26}\,b^{28}\,d^5+256256\,A^2\,B^2\,a^{24}\,b^{30}\,d^5+75712\,A^2\,B^2\,a^{22}\,b^{32}\,d^5+11648\,A^2\,B^2\,a^{20}\,b^{34}\,d^5-448\,A^2\,B^2\,a^{18}\,b^{36}\,d^5-512\,A^2\,B^2\,a^{16}\,b^{38}\,d^5-64\,A^2\,B^2\,a^{14}\,b^{40}\,d^5+32\,B^4\,a^{46}\,b^8\,d^5+448\,B^4\,a^{44}\,b^{10}\,d^5+2912\,B^4\,a^{42}\,b^{12}\,d^5+11648\,B^4\,a^{40}\,b^{14}\,d^5+32032\,B^4\,a^{38}\,b^{16}\,d^5+64064\,B^4\,a^{36}\,b^{18}\,d^5+96096\,B^4\,a^{34}\,b^{20}\,d^5+109824\,B^4\,a^{32}\,b^{22}\,d^5+96096\,B^4\,a^{30}\,b^{24}\,d^5+64064\,B^4\,a^{28}\,b^{26}\,d^5+32032\,B^4\,a^{26}\,b^{28}\,d^5+11648\,B^4\,a^{24}\,b^{30}\,d^5+2912\,B^4\,a^{22}\,b^{32}\,d^5+448\,B^4\,a^{20}\,b^{34}\,d^5+32\,B^4\,a^{18}\,b^{36}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+64\,A^5\,a^{14}\,b^{38}\,d^4+896\,A^5\,a^{16}\,b^{36}\,d^4+5824\,A^5\,a^{18}\,b^{34}\,d^4+23296\,A^5\,a^{20}\,b^{32}\,d^4+64064\,A^5\,a^{22}\,b^{30}\,d^4+128128\,A^5\,a^{24}\,b^{28}\,d^4+192192\,A^5\,a^{26}\,b^{26}\,d^4+219648\,A^5\,a^{28}\,b^{24}\,d^4+192192\,A^5\,a^{30}\,b^{22}\,d^4+128128\,A^5\,a^{32}\,b^{20}\,d^4+64064\,A^5\,a^{34}\,b^{18}\,d^4+23296\,A^5\,a^{36}\,b^{16}\,d^4+5824\,A^5\,a^{38}\,b^{14}\,d^4+896\,A^5\,a^{40}\,b^{12}\,d^4+64\,A^5\,a^{42}\,b^{10}\,d^4+64\,A\,B^4\,a^{16}\,b^{36}\,d^4+896\,A\,B^4\,a^{18}\,b^{34}\,d^4+5824\,A\,B^4\,a^{20}\,b^{32}\,d^4+23296\,A\,B^4\,a^{22}\,b^{30}\,d^4+64064\,A\,B^4\,a^{24}\,b^{28}\,d^4+128128\,A\,B^4\,a^{26}\,b^{26}\,d^4+192192\,A\,B^4\,a^{28}\,b^{24}\,d^4+219648\,A\,B^4\,a^{30}\,b^{22}\,d^4+192192\,A\,B^4\,a^{32}\,b^{20}\,d^4+128128\,A\,B^4\,a^{34}\,b^{18}\,d^4+64064\,A\,B^4\,a^{36}\,b^{16}\,d^4+23296\,A\,B^4\,a^{38}\,b^{14}\,d^4+5824\,A\,B^4\,a^{40}\,b^{12}\,d^4+896\,A\,B^4\,a^{42}\,b^{10}\,d^4+64\,A\,B^4\,a^{44}\,b^8\,d^4-128\,A^4\,B\,a^{15}\,b^{37}\,d^4-1792\,A^4\,B\,a^{17}\,b^{35}\,d^4-11648\,A^4\,B\,a^{19}\,b^{33}\,d^4-46592\,A^4\,B\,a^{21}\,b^{31}\,d^4-128128\,A^4\,B\,a^{23}\,b^{29}\,d^4-256256\,A^4\,B\,a^{25}\,b^{27}\,d^4-384384\,A^4\,B\,a^{27}\,b^{25}\,d^4-439296\,A^4\,B\,a^{29}\,b^{23}\,d^4-384384\,A^4\,B\,a^{31}\,b^{21}\,d^4-256256\,A^4\,B\,a^{33}\,b^{19}\,d^4-128128\,A^4\,B\,a^{35}\,b^{17}\,d^4-46592\,A^4\,B\,a^{37}\,b^{15}\,d^4-11648\,A^4\,B\,a^{39}\,b^{13}\,d^4-1792\,A^4\,B\,a^{41}\,b^{11}\,d^4-128\,A^4\,B\,a^{43}\,b^9\,d^4-128\,A^2\,B^3\,a^{15}\,b^{37}\,d^4-1792\,A^2\,B^3\,a^{17}\,b^{35}\,d^4-11648\,A^2\,B^3\,a^{19}\,b^{33}\,d^4-46592\,A^2\,B^3\,a^{21}\,b^{31}\,d^4-128128\,A^2\,B^3\,a^{23}\,b^{29}\,d^4-256256\,A^2\,B^3\,a^{25}\,b^{27}\,d^4-384384\,A^2\,B^3\,a^{27}\,b^{25}\,d^4-439296\,A^2\,B^3\,a^{29}\,b^{23}\,d^4-384384\,A^2\,B^3\,a^{31}\,b^{21}\,d^4-256256\,A^2\,B^3\,a^{33}\,b^{19}\,d^4-128128\,A^2\,B^3\,a^{35}\,b^{17}\,d^4-46592\,A^2\,B^3\,a^{37}\,b^{15}\,d^4-11648\,A^2\,B^3\,a^{39}\,b^{13}\,d^4-1792\,A^2\,B^3\,a^{41}\,b^{11}\,d^4-128\,A^2\,B^3\,a^{43}\,b^9\,d^4+64\,A^3\,B^2\,a^{14}\,b^{38}\,d^4+960\,A^3\,B^2\,a^{16}\,b^{36}\,d^4+6720\,A^3\,B^2\,a^{18}\,b^{34}\,d^4+29120\,A^3\,B^2\,a^{20}\,b^{32}\,d^4+87360\,A^3\,B^2\,a^{22}\,b^{30}\,d^4+192192\,A^3\,B^2\,a^{24}\,b^{28}\,d^4+320320\,A^3\,B^2\,a^{26}\,b^{26}\,d^4+411840\,A^3\,B^2\,a^{28}\,b^{24}\,d^4+411840\,A^3\,B^2\,a^{30}\,b^{22}\,d^4+320320\,A^3\,B^2\,a^{32}\,b^{20}\,d^4+192192\,A^3\,B^2\,a^{34}\,b^{18}\,d^4+87360\,A^3\,B^2\,a^{36}\,b^{16}\,d^4+29120\,A^3\,B^2\,a^{38}\,b^{14}\,d^4+6720\,A^3\,B^2\,a^{40}\,b^{12}\,d^4+960\,A^3\,B^2\,a^{42}\,b^{10}\,d^4+64\,A^3\,B^2\,a^{44}\,b^8\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,2{}\mathrm{i}+\frac{\frac{2\,\left(A\,b^2-B\,a\,b\right)}{3\,a\,\left(a^2+b^2\right)}+\frac{2\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-2\,B\,a^3\,b+3\,A\,a^2\,b^2+A\,b^4\right)}{{\left(a^3+a\,b^2\right)}^2}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\frac{A\,\mathrm{atan}\left(\frac{A^4\,a^{22}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,9{}\mathrm{i}+B^4\,a^{22}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}+A^2\,B^2\,a^{22}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,10{}\mathrm{i}+A^4\,a^{12}\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}+A^4\,a^{14}\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,80{}\mathrm{i}+A^4\,a^{16}\,b^6\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,160{}\mathrm{i}+A^4\,a^{18}\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,120{}\mathrm{i}+A^4\,a^{20}\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,160{}\mathrm{i}-A^3\,B\,a^{17}\,b^5\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,16{}\mathrm{i}+A^3\,B\,a^{19}\,b^3\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,160{}\mathrm{i}+A^2\,B^2\,a^{18}\,b^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,40{}\mathrm{i}-A^2\,B^2\,a^{20}\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,80{}\mathrm{i}-A^3\,B\,a^{21}\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,80{}\mathrm{i}}{a^{10}\,\sqrt{a^5}\,\left(16\,A^4\,b^{10}+a^5\,\left(a^5\,\left(9\,A^4+10\,A^2\,B^2+B^4\right)-16\,A^3\,B\,b^5+120\,A^4\,a\,b^4+160\,A^4\,a^3\,b^2-80\,A^2\,B^2\,a^3\,b^2-80\,A^3\,B\,a^4\,b+40\,A^2\,B^2\,a\,b^4+160\,A^3\,B\,a^2\,b^3\right)+80\,A^4\,a^2\,b^8+160\,A^4\,a^4\,b^6\right)}\right)\,2{}\mathrm{i}}{d\,\sqrt{a^5}}","Not used",1,"atan(-(((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(256*A^2*a^15*b^44*d^7 + 4608*A^2*a^17*b^42*d^7 + 40512*A^2*a^19*b^40*d^7 + 224768*A^2*a^21*b^38*d^7 + 864768*A^2*a^23*b^36*d^7 + 2419200*A^2*a^25*b^34*d^7 + 5055232*A^2*a^27*b^32*d^7 + 8007168*A^2*a^29*b^30*d^7 + 9664512*A^2*a^31*b^28*d^7 + 8859136*A^2*a^33*b^26*d^7 + 6095232*A^2*a^35*b^24*d^7 + 3095040*A^2*a^37*b^22*d^7 + 1164800*A^2*a^39*b^20*d^7 + 376320*A^2*a^41*b^18*d^7 + 154368*A^2*a^43*b^16*d^7 + 76288*A^2*a^45*b^14*d^7 + 28416*A^2*a^47*b^12*d^7 + 6144*A^2*a^49*b^10*d^7 + 576*A^2*a^51*b^8*d^7 - 1344*B^2*a^19*b^40*d^7 - 15872*B^2*a^21*b^38*d^7 - 81408*B^2*a^23*b^36*d^7 - 225792*B^2*a^25*b^34*d^7 - 302848*B^2*a^27*b^32*d^7 + 139776*B^2*a^29*b^30*d^7 + 1537536*B^2*a^31*b^28*d^7 + 3587584*B^2*a^33*b^26*d^7 + 5106816*B^2*a^35*b^24*d^7 + 5051904*B^2*a^37*b^22*d^7 + 3587584*B^2*a^39*b^20*d^7 + 1817088*B^2*a^41*b^18*d^7 + 628992*B^2*a^43*b^16*d^7 + 132608*B^2*a^45*b^14*d^7 + 10752*B^2*a^47*b^12*d^7 - 1536*B^2*a^49*b^10*d^7 - 320*B^2*a^51*b^8*d^7 + 512*A*B*a^18*b^41*d^7 + 1536*A*B*a^20*b^39*d^7 - 29184*A*B*a^22*b^37*d^7 - 283136*A*B*a^24*b^35*d^7 - 1257984*A*B*a^26*b^33*d^7 - 3494400*A*B*a^28*b^31*d^7 - 6662656*A*B*a^30*b^29*d^7 - 9005568*A*B*a^32*b^27*d^7 - 8566272*A*B*a^34*b^25*d^7 - 5344768*A*B*a^36*b^23*d^7 - 1537536*A*B*a^38*b^21*d^7 + 698880*A*B*a^40*b^19*d^7 + 1071616*A*B*a^42*b^17*d^7 + 612864*A*B*a^44*b^15*d^7 + 201216*A*B*a^46*b^13*d^7 + 37376*A*B*a^48*b^11*d^7 + 3072*A*B*a^50*b^9*d^7) + (-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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*a^16*b^46*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^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) + 9728*A*a^18*b^44*d^8 + 87936*A*a^20*b^42*d^8 + 502144*A*a^22*b^40*d^8 + 2028544*A*a^24*b^38*d^8 + 6153216*A*a^26*b^36*d^8 + 14518784*A*a^28*b^34*d^8 + 27243008*A*a^30*b^32*d^8 + 41213952*A*a^32*b^30*d^8 + 50665472*A*a^34*b^28*d^8 + 50775296*A*a^36*b^26*d^8 + 41443584*A*a^38*b^24*d^8 + 27409408*A*a^40*b^22*d^8 + 14543872*A*a^42*b^20*d^8 + 6093312*A*a^44*b^18*d^8 + 1966592*A*a^46*b^16*d^8 + 470528*A*a^48*b^14*d^8 + 78336*A*a^50*b^12*d^8 + 8064*A*a^52*b^10*d^8 + 384*A*a^54*b^8*d^8 + 128*B*a^19*b^43*d^8 + 1664*B*a^21*b^41*d^8 + 9216*B*a^23*b^39*d^8 + 25600*B*a^25*b^37*d^8 + 17920*B*a^27*b^35*d^8 - 139776*B*a^29*b^33*d^8 - 652288*B*a^31*b^31*d^8 - 1610752*B*a^33*b^29*d^8 - 2745600*B*a^35*b^27*d^8 - 3477760*B*a^37*b^25*d^8 - 3367936*B*a^39*b^23*d^8 - 2515968*B*a^41*b^21*d^8 - 1444352*B*a^43*b^19*d^8 - 627200*B*a^45*b^17*d^8 - 199680*B*a^47*b^15*d^8 - 44032*B*a^49*b^13*d^8 - 6016*B*a^51*b^11*d^8 - 384*B*a^53*b^9*d^8))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^3*a^15*b^42*d^6 - 7296*A^3*a^17*b^40*d^6 - 59424*A^3*a^19*b^38*d^6 - 280992*A^3*a^21*b^36*d^6 - 866208*A^3*a^23*b^34*d^6 - 1825824*A^3*a^25*b^32*d^6 - 2629536*A^3*a^27*b^30*d^6 - 2374944*A^3*a^29*b^28*d^6 - 727584*A^3*a^31*b^26*d^6 + 1413984*A^3*a^33*b^24*d^6 + 2649504*A^3*a^35*b^22*d^6 + 2454816*A^3*a^37*b^20*d^6 + 1476384*A^3*a^39*b^18*d^6 + 597408*A^3*a^41*b^16*d^6 + 156192*A^3*a^43*b^14*d^6 + 22944*A^3*a^45*b^12*d^6 + 1056*A^3*a^47*b^10*d^6 - 96*A^3*a^49*b^8*d^6 + 64*B^3*a^20*b^37*d^6 + 896*B^3*a^22*b^35*d^6 + 5824*B^3*a^24*b^33*d^6 + 23296*B^3*a^26*b^31*d^6 + 64064*B^3*a^28*b^29*d^6 + 128128*B^3*a^30*b^27*d^6 + 192192*B^3*a^32*b^25*d^6 + 219648*B^3*a^34*b^23*d^6 + 192192*B^3*a^36*b^21*d^6 + 128128*B^3*a^38*b^19*d^6 + 64064*B^3*a^40*b^17*d^6 + 23296*B^3*a^42*b^15*d^6 + 5824*B^3*a^44*b^13*d^6 + 896*B^3*a^46*b^11*d^6 + 64*B^3*a^48*b^9*d^6 + 1280*A*B^2*a^17*b^40*d^6 + 15328*A*B^2*a^19*b^38*d^6 + 80480*A*B^2*a^21*b^36*d^6 + 234080*A*B^2*a^23*b^34*d^6 + 364000*A*B^2*a^25*b^32*d^6 + 72800*A*B^2*a^27*b^30*d^6 - 1057056*A*B^2*a^29*b^28*d^6 - 2814240*A*B^2*a^31*b^26*d^6 - 4187040*A*B^2*a^33*b^24*d^6 - 4232800*A*B^2*a^35*b^22*d^6 - 3043040*A*B^2*a^37*b^20*d^6 - 1552096*A*B^2*a^39*b^18*d^6 - 538720*A*B^2*a^41*b^16*d^6 - 113120*A*B^2*a^43*b^14*d^6 - 8800*A*B^2*a^45*b^12*d^6 + 1440*A*B^2*a^47*b^10*d^6 + 288*A*B^2*a^49*b^8*d^6 - 128*A^2*B*a^14*b^43*d^6 - 2176*A^2*B*a^16*b^41*d^6 - 11264*A^2*B*a^18*b^39*d^6 - 3008*A^2*B*a^20*b^37*d^6 + 226688*A^2*B*a^22*b^35*d^6 + 1263808*A^2*B*a^24*b^33*d^6 + 3843840*A^2*B*a^26*b^31*d^6 + 7824960*A^2*B*a^28*b^29*d^6 + 11366784*A^2*B*a^30*b^27*d^6 + 12016576*A^2*B*a^32*b^25*d^6 + 9152000*A^2*B*a^34*b^23*d^6 + 4758208*A^2*B*a^36*b^21*d^6 + 1386112*A^2*B*a^38*b^19*d^6 - 54208*A^2*B*a^40*b^17*d^6 - 250112*A^2*B*a^42*b^15*d^6 - 111936*A^2*B*a^44*b^13*d^6 - 23808*A^2*B*a^46*b^11*d^6 - 2112*A^2*B*a^48*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(64*A^4*a^14*b^40*d^5 + 512*A^4*a^16*b^38*d^5 + 544*A^4*a^18*b^36*d^5 - 10304*A^4*a^20*b^34*d^5 - 66976*A^4*a^22*b^32*d^5 - 221312*A^4*a^24*b^30*d^5 - 480480*A^4*a^26*b^28*d^5 - 741312*A^4*a^28*b^26*d^5 - 837408*A^4*a^30*b^24*d^5 - 695552*A^4*a^32*b^22*d^5 - 416416*A^4*a^34*b^20*d^5 - 168896*A^4*a^36*b^18*d^5 - 37856*A^4*a^38*b^16*d^5 + 896*A^4*a^40*b^14*d^5 + 3424*A^4*a^42*b^12*d^5 + 960*A^4*a^44*b^10*d^5 + 96*A^4*a^46*b^8*d^5 + 32*B^4*a^18*b^36*d^5 + 448*B^4*a^20*b^34*d^5 + 2912*B^4*a^22*b^32*d^5 + 11648*B^4*a^24*b^30*d^5 + 32032*B^4*a^26*b^28*d^5 + 64064*B^4*a^28*b^26*d^5 + 96096*B^4*a^30*b^24*d^5 + 109824*B^4*a^32*b^22*d^5 + 96096*B^4*a^34*b^20*d^5 + 64064*B^4*a^36*b^18*d^5 + 32032*B^4*a^38*b^16*d^5 + 11648*B^4*a^40*b^14*d^5 + 2912*B^4*a^42*b^12*d^5 + 448*B^4*a^44*b^10*d^5 + 32*B^4*a^46*b^8*d^5 - 512*A^3*B*a^15*b^39*d^5 - 6656*A^3*B*a^17*b^37*d^5 - 39424*A^3*B*a^19*b^35*d^5 - 139776*A^3*B*a^21*b^33*d^5 - 326144*A^3*B*a^23*b^31*d^5 - 512512*A^3*B*a^25*b^29*d^5 - 512512*A^3*B*a^27*b^27*d^5 - 219648*A^3*B*a^29*b^25*d^5 + 219648*A^3*B*a^31*b^23*d^5 + 512512*A^3*B*a^33*b^21*d^5 + 512512*A^3*B*a^35*b^19*d^5 + 326144*A^3*B*a^37*b^17*d^5 + 139776*A^3*B*a^39*b^15*d^5 + 39424*A^3*B*a^41*b^13*d^5 + 6656*A^3*B*a^43*b^11*d^5 + 512*A^3*B*a^45*b^9*d^5 - 64*A^2*B^2*a^14*b^40*d^5 - 512*A^2*B^2*a^16*b^38*d^5 - 448*A^2*B^2*a^18*b^36*d^5 + 11648*A^2*B^2*a^20*b^34*d^5 + 75712*A^2*B^2*a^22*b^32*d^5 + 256256*A^2*B^2*a^24*b^30*d^5 + 576576*A^2*B^2*a^26*b^28*d^5 + 933504*A^2*B^2*a^28*b^26*d^5 + 1125696*A^2*B^2*a^30*b^24*d^5 + 1025024*A^2*B^2*a^32*b^22*d^5 + 704704*A^2*B^2*a^34*b^20*d^5 + 361088*A^2*B^2*a^36*b^18*d^5 + 133952*A^2*B^2*a^38*b^16*d^5 + 34048*A^2*B^2*a^40*b^14*d^5 + 5312*A^2*B^2*a^42*b^12*d^5 + 384*A^2*B^2*a^44*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*1i - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(1413984*A^3*a^33*b^24*d^6 - 384*A^3*a^15*b^42*d^6 - 7296*A^3*a^17*b^40*d^6 - 59424*A^3*a^19*b^38*d^6 - 280992*A^3*a^21*b^36*d^6 - 866208*A^3*a^23*b^34*d^6 - 1825824*A^3*a^25*b^32*d^6 - 2629536*A^3*a^27*b^30*d^6 - 2374944*A^3*a^29*b^28*d^6 - 727584*A^3*a^31*b^26*d^6 - ((a + b*tan(c + d*x))^(1/2)*(256*A^2*a^15*b^44*d^7 + 4608*A^2*a^17*b^42*d^7 + 40512*A^2*a^19*b^40*d^7 + 224768*A^2*a^21*b^38*d^7 + 864768*A^2*a^23*b^36*d^7 + 2419200*A^2*a^25*b^34*d^7 + 5055232*A^2*a^27*b^32*d^7 + 8007168*A^2*a^29*b^30*d^7 + 9664512*A^2*a^31*b^28*d^7 + 8859136*A^2*a^33*b^26*d^7 + 6095232*A^2*a^35*b^24*d^7 + 3095040*A^2*a^37*b^22*d^7 + 1164800*A^2*a^39*b^20*d^7 + 376320*A^2*a^41*b^18*d^7 + 154368*A^2*a^43*b^16*d^7 + 76288*A^2*a^45*b^14*d^7 + 28416*A^2*a^47*b^12*d^7 + 6144*A^2*a^49*b^10*d^7 + 576*A^2*a^51*b^8*d^7 - 1344*B^2*a^19*b^40*d^7 - 15872*B^2*a^21*b^38*d^7 - 81408*B^2*a^23*b^36*d^7 - 225792*B^2*a^25*b^34*d^7 - 302848*B^2*a^27*b^32*d^7 + 139776*B^2*a^29*b^30*d^7 + 1537536*B^2*a^31*b^28*d^7 + 3587584*B^2*a^33*b^26*d^7 + 5106816*B^2*a^35*b^24*d^7 + 5051904*B^2*a^37*b^22*d^7 + 3587584*B^2*a^39*b^20*d^7 + 1817088*B^2*a^41*b^18*d^7 + 628992*B^2*a^43*b^16*d^7 + 132608*B^2*a^45*b^14*d^7 + 10752*B^2*a^47*b^12*d^7 - 1536*B^2*a^49*b^10*d^7 - 320*B^2*a^51*b^8*d^7 + 512*A*B*a^18*b^41*d^7 + 1536*A*B*a^20*b^39*d^7 - 29184*A*B*a^22*b^37*d^7 - 283136*A*B*a^24*b^35*d^7 - 1257984*A*B*a^26*b^33*d^7 - 3494400*A*B*a^28*b^31*d^7 - 6662656*A*B*a^30*b^29*d^7 - 9005568*A*B*a^32*b^27*d^7 - 8566272*A*B*a^34*b^25*d^7 - 5344768*A*B*a^36*b^23*d^7 - 1537536*A*B*a^38*b^21*d^7 + 698880*A*B*a^40*b^19*d^7 + 1071616*A*B*a^42*b^17*d^7 + 612864*A*B*a^44*b^15*d^7 + 201216*A*B*a^46*b^13*d^7 + 37376*A*B*a^48*b^11*d^7 + 3072*A*B*a^50*b^9*d^7) - (-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^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*a^16*b^46*d^8 + 9728*A*a^18*b^44*d^8 + 87936*A*a^20*b^42*d^8 + 502144*A*a^22*b^40*d^8 + 2028544*A*a^24*b^38*d^8 + 6153216*A*a^26*b^36*d^8 + 14518784*A*a^28*b^34*d^8 + 27243008*A*a^30*b^32*d^8 + 41213952*A*a^32*b^30*d^8 + 50665472*A*a^34*b^28*d^8 + 50775296*A*a^36*b^26*d^8 + 41443584*A*a^38*b^24*d^8 + 27409408*A*a^40*b^22*d^8 + 14543872*A*a^42*b^20*d^8 + 6093312*A*a^44*b^18*d^8 + 1966592*A*a^46*b^16*d^8 + 470528*A*a^48*b^14*d^8 + 78336*A*a^50*b^12*d^8 + 8064*A*a^52*b^10*d^8 + 384*A*a^54*b^8*d^8 + 128*B*a^19*b^43*d^8 + 1664*B*a^21*b^41*d^8 + 9216*B*a^23*b^39*d^8 + 25600*B*a^25*b^37*d^8 + 17920*B*a^27*b^35*d^8 - 139776*B*a^29*b^33*d^8 - 652288*B*a^31*b^31*d^8 - 1610752*B*a^33*b^29*d^8 - 2745600*B*a^35*b^27*d^8 - 3477760*B*a^37*b^25*d^8 - 3367936*B*a^39*b^23*d^8 - 2515968*B*a^41*b^21*d^8 - 1444352*B*a^43*b^19*d^8 - 627200*B*a^45*b^17*d^8 - 199680*B*a^47*b^15*d^8 - 44032*B*a^49*b^13*d^8 - 6016*B*a^51*b^11*d^8 - 384*B*a^53*b^9*d^8))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) + 2649504*A^3*a^35*b^22*d^6 + 2454816*A^3*a^37*b^20*d^6 + 1476384*A^3*a^39*b^18*d^6 + 597408*A^3*a^41*b^16*d^6 + 156192*A^3*a^43*b^14*d^6 + 22944*A^3*a^45*b^12*d^6 + 1056*A^3*a^47*b^10*d^6 - 96*A^3*a^49*b^8*d^6 + 64*B^3*a^20*b^37*d^6 + 896*B^3*a^22*b^35*d^6 + 5824*B^3*a^24*b^33*d^6 + 23296*B^3*a^26*b^31*d^6 + 64064*B^3*a^28*b^29*d^6 + 128128*B^3*a^30*b^27*d^6 + 192192*B^3*a^32*b^25*d^6 + 219648*B^3*a^34*b^23*d^6 + 192192*B^3*a^36*b^21*d^6 + 128128*B^3*a^38*b^19*d^6 + 64064*B^3*a^40*b^17*d^6 + 23296*B^3*a^42*b^15*d^6 + 5824*B^3*a^44*b^13*d^6 + 896*B^3*a^46*b^11*d^6 + 64*B^3*a^48*b^9*d^6 + 1280*A*B^2*a^17*b^40*d^6 + 15328*A*B^2*a^19*b^38*d^6 + 80480*A*B^2*a^21*b^36*d^6 + 234080*A*B^2*a^23*b^34*d^6 + 364000*A*B^2*a^25*b^32*d^6 + 72800*A*B^2*a^27*b^30*d^6 - 1057056*A*B^2*a^29*b^28*d^6 - 2814240*A*B^2*a^31*b^26*d^6 - 4187040*A*B^2*a^33*b^24*d^6 - 4232800*A*B^2*a^35*b^22*d^6 - 3043040*A*B^2*a^37*b^20*d^6 - 1552096*A*B^2*a^39*b^18*d^6 - 538720*A*B^2*a^41*b^16*d^6 - 113120*A*B^2*a^43*b^14*d^6 - 8800*A*B^2*a^45*b^12*d^6 + 1440*A*B^2*a^47*b^10*d^6 + 288*A*B^2*a^49*b^8*d^6 - 128*A^2*B*a^14*b^43*d^6 - 2176*A^2*B*a^16*b^41*d^6 - 11264*A^2*B*a^18*b^39*d^6 - 3008*A^2*B*a^20*b^37*d^6 + 226688*A^2*B*a^22*b^35*d^6 + 1263808*A^2*B*a^24*b^33*d^6 + 3843840*A^2*B*a^26*b^31*d^6 + 7824960*A^2*B*a^28*b^29*d^6 + 11366784*A^2*B*a^30*b^27*d^6 + 12016576*A^2*B*a^32*b^25*d^6 + 9152000*A^2*B*a^34*b^23*d^6 + 4758208*A^2*B*a^36*b^21*d^6 + 1386112*A^2*B*a^38*b^19*d^6 - 54208*A^2*B*a^40*b^17*d^6 - 250112*A^2*B*a^42*b^15*d^6 - 111936*A^2*B*a^44*b^13*d^6 - 23808*A^2*B*a^46*b^11*d^6 - 2112*A^2*B*a^48*b^9*d^6) + (a + b*tan(c + d*x))^(1/2)*(64*A^4*a^14*b^40*d^5 + 512*A^4*a^16*b^38*d^5 + 544*A^4*a^18*b^36*d^5 - 10304*A^4*a^20*b^34*d^5 - 66976*A^4*a^22*b^32*d^5 - 221312*A^4*a^24*b^30*d^5 - 480480*A^4*a^26*b^28*d^5 - 741312*A^4*a^28*b^26*d^5 - 837408*A^4*a^30*b^24*d^5 - 695552*A^4*a^32*b^22*d^5 - 416416*A^4*a^34*b^20*d^5 - 168896*A^4*a^36*b^18*d^5 - 37856*A^4*a^38*b^16*d^5 + 896*A^4*a^40*b^14*d^5 + 3424*A^4*a^42*b^12*d^5 + 960*A^4*a^44*b^10*d^5 + 96*A^4*a^46*b^8*d^5 + 32*B^4*a^18*b^36*d^5 + 448*B^4*a^20*b^34*d^5 + 2912*B^4*a^22*b^32*d^5 + 11648*B^4*a^24*b^30*d^5 + 32032*B^4*a^26*b^28*d^5 + 64064*B^4*a^28*b^26*d^5 + 96096*B^4*a^30*b^24*d^5 + 109824*B^4*a^32*b^22*d^5 + 96096*B^4*a^34*b^20*d^5 + 64064*B^4*a^36*b^18*d^5 + 32032*B^4*a^38*b^16*d^5 + 11648*B^4*a^40*b^14*d^5 + 2912*B^4*a^42*b^12*d^5 + 448*B^4*a^44*b^10*d^5 + 32*B^4*a^46*b^8*d^5 - 512*A^3*B*a^15*b^39*d^5 - 6656*A^3*B*a^17*b^37*d^5 - 39424*A^3*B*a^19*b^35*d^5 - 139776*A^3*B*a^21*b^33*d^5 - 326144*A^3*B*a^23*b^31*d^5 - 512512*A^3*B*a^25*b^29*d^5 - 512512*A^3*B*a^27*b^27*d^5 - 219648*A^3*B*a^29*b^25*d^5 + 219648*A^3*B*a^31*b^23*d^5 + 512512*A^3*B*a^33*b^21*d^5 + 512512*A^3*B*a^35*b^19*d^5 + 326144*A^3*B*a^37*b^17*d^5 + 139776*A^3*B*a^39*b^15*d^5 + 39424*A^3*B*a^41*b^13*d^5 + 6656*A^3*B*a^43*b^11*d^5 + 512*A^3*B*a^45*b^9*d^5 - 64*A^2*B^2*a^14*b^40*d^5 - 512*A^2*B^2*a^16*b^38*d^5 - 448*A^2*B^2*a^18*b^36*d^5 + 11648*A^2*B^2*a^20*b^34*d^5 + 75712*A^2*B^2*a^22*b^32*d^5 + 256256*A^2*B^2*a^24*b^30*d^5 + 576576*A^2*B^2*a^26*b^28*d^5 + 933504*A^2*B^2*a^28*b^26*d^5 + 1125696*A^2*B^2*a^30*b^24*d^5 + 1025024*A^2*B^2*a^32*b^22*d^5 + 704704*A^2*B^2*a^34*b^20*d^5 + 361088*A^2*B^2*a^36*b^18*d^5 + 133952*A^2*B^2*a^38*b^16*d^5 + 34048*A^2*B^2*a^40*b^14*d^5 + 5312*A^2*B^2*a^42*b^12*d^5 + 384*A^2*B^2*a^44*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*1i)/(((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(256*A^2*a^15*b^44*d^7 + 4608*A^2*a^17*b^42*d^7 + 40512*A^2*a^19*b^40*d^7 + 224768*A^2*a^21*b^38*d^7 + 864768*A^2*a^23*b^36*d^7 + 2419200*A^2*a^25*b^34*d^7 + 5055232*A^2*a^27*b^32*d^7 + 8007168*A^2*a^29*b^30*d^7 + 9664512*A^2*a^31*b^28*d^7 + 8859136*A^2*a^33*b^26*d^7 + 6095232*A^2*a^35*b^24*d^7 + 3095040*A^2*a^37*b^22*d^7 + 1164800*A^2*a^39*b^20*d^7 + 376320*A^2*a^41*b^18*d^7 + 154368*A^2*a^43*b^16*d^7 + 76288*A^2*a^45*b^14*d^7 + 28416*A^2*a^47*b^12*d^7 + 6144*A^2*a^49*b^10*d^7 + 576*A^2*a^51*b^8*d^7 - 1344*B^2*a^19*b^40*d^7 - 15872*B^2*a^21*b^38*d^7 - 81408*B^2*a^23*b^36*d^7 - 225792*B^2*a^25*b^34*d^7 - 302848*B^2*a^27*b^32*d^7 + 139776*B^2*a^29*b^30*d^7 + 1537536*B^2*a^31*b^28*d^7 + 3587584*B^2*a^33*b^26*d^7 + 5106816*B^2*a^35*b^24*d^7 + 5051904*B^2*a^37*b^22*d^7 + 3587584*B^2*a^39*b^20*d^7 + 1817088*B^2*a^41*b^18*d^7 + 628992*B^2*a^43*b^16*d^7 + 132608*B^2*a^45*b^14*d^7 + 10752*B^2*a^47*b^12*d^7 - 1536*B^2*a^49*b^10*d^7 - 320*B^2*a^51*b^8*d^7 + 512*A*B*a^18*b^41*d^7 + 1536*A*B*a^20*b^39*d^7 - 29184*A*B*a^22*b^37*d^7 - 283136*A*B*a^24*b^35*d^7 - 1257984*A*B*a^26*b^33*d^7 - 3494400*A*B*a^28*b^31*d^7 - 6662656*A*B*a^30*b^29*d^7 - 9005568*A*B*a^32*b^27*d^7 - 8566272*A*B*a^34*b^25*d^7 - 5344768*A*B*a^36*b^23*d^7 - 1537536*A*B*a^38*b^21*d^7 + 698880*A*B*a^40*b^19*d^7 + 1071616*A*B*a^42*b^17*d^7 + 612864*A*B*a^44*b^15*d^7 + 201216*A*B*a^46*b^13*d^7 + 37376*A*B*a^48*b^11*d^7 + 3072*A*B*a^50*b^9*d^7) + (-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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*a^16*b^46*d^8 - (a + b*tan(c + d*x))^(1/2)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^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) + 9728*A*a^18*b^44*d^8 + 87936*A*a^20*b^42*d^8 + 502144*A*a^22*b^40*d^8 + 2028544*A*a^24*b^38*d^8 + 6153216*A*a^26*b^36*d^8 + 14518784*A*a^28*b^34*d^8 + 27243008*A*a^30*b^32*d^8 + 41213952*A*a^32*b^30*d^8 + 50665472*A*a^34*b^28*d^8 + 50775296*A*a^36*b^26*d^8 + 41443584*A*a^38*b^24*d^8 + 27409408*A*a^40*b^22*d^8 + 14543872*A*a^42*b^20*d^8 + 6093312*A*a^44*b^18*d^8 + 1966592*A*a^46*b^16*d^8 + 470528*A*a^48*b^14*d^8 + 78336*A*a^50*b^12*d^8 + 8064*A*a^52*b^10*d^8 + 384*A*a^54*b^8*d^8 + 128*B*a^19*b^43*d^8 + 1664*B*a^21*b^41*d^8 + 9216*B*a^23*b^39*d^8 + 25600*B*a^25*b^37*d^8 + 17920*B*a^27*b^35*d^8 - 139776*B*a^29*b^33*d^8 - 652288*B*a^31*b^31*d^8 - 1610752*B*a^33*b^29*d^8 - 2745600*B*a^35*b^27*d^8 - 3477760*B*a^37*b^25*d^8 - 3367936*B*a^39*b^23*d^8 - 2515968*B*a^41*b^21*d^8 - 1444352*B*a^43*b^19*d^8 - 627200*B*a^45*b^17*d^8 - 199680*B*a^47*b^15*d^8 - 44032*B*a^49*b^13*d^8 - 6016*B*a^51*b^11*d^8 - 384*B*a^53*b^9*d^8))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^3*a^15*b^42*d^6 - 7296*A^3*a^17*b^40*d^6 - 59424*A^3*a^19*b^38*d^6 - 280992*A^3*a^21*b^36*d^6 - 866208*A^3*a^23*b^34*d^6 - 1825824*A^3*a^25*b^32*d^6 - 2629536*A^3*a^27*b^30*d^6 - 2374944*A^3*a^29*b^28*d^6 - 727584*A^3*a^31*b^26*d^6 + 1413984*A^3*a^33*b^24*d^6 + 2649504*A^3*a^35*b^22*d^6 + 2454816*A^3*a^37*b^20*d^6 + 1476384*A^3*a^39*b^18*d^6 + 597408*A^3*a^41*b^16*d^6 + 156192*A^3*a^43*b^14*d^6 + 22944*A^3*a^45*b^12*d^6 + 1056*A^3*a^47*b^10*d^6 - 96*A^3*a^49*b^8*d^6 + 64*B^3*a^20*b^37*d^6 + 896*B^3*a^22*b^35*d^6 + 5824*B^3*a^24*b^33*d^6 + 23296*B^3*a^26*b^31*d^6 + 64064*B^3*a^28*b^29*d^6 + 128128*B^3*a^30*b^27*d^6 + 192192*B^3*a^32*b^25*d^6 + 219648*B^3*a^34*b^23*d^6 + 192192*B^3*a^36*b^21*d^6 + 128128*B^3*a^38*b^19*d^6 + 64064*B^3*a^40*b^17*d^6 + 23296*B^3*a^42*b^15*d^6 + 5824*B^3*a^44*b^13*d^6 + 896*B^3*a^46*b^11*d^6 + 64*B^3*a^48*b^9*d^6 + 1280*A*B^2*a^17*b^40*d^6 + 15328*A*B^2*a^19*b^38*d^6 + 80480*A*B^2*a^21*b^36*d^6 + 234080*A*B^2*a^23*b^34*d^6 + 364000*A*B^2*a^25*b^32*d^6 + 72800*A*B^2*a^27*b^30*d^6 - 1057056*A*B^2*a^29*b^28*d^6 - 2814240*A*B^2*a^31*b^26*d^6 - 4187040*A*B^2*a^33*b^24*d^6 - 4232800*A*B^2*a^35*b^22*d^6 - 3043040*A*B^2*a^37*b^20*d^6 - 1552096*A*B^2*a^39*b^18*d^6 - 538720*A*B^2*a^41*b^16*d^6 - 113120*A*B^2*a^43*b^14*d^6 - 8800*A*B^2*a^45*b^12*d^6 + 1440*A*B^2*a^47*b^10*d^6 + 288*A*B^2*a^49*b^8*d^6 - 128*A^2*B*a^14*b^43*d^6 - 2176*A^2*B*a^16*b^41*d^6 - 11264*A^2*B*a^18*b^39*d^6 - 3008*A^2*B*a^20*b^37*d^6 + 226688*A^2*B*a^22*b^35*d^6 + 1263808*A^2*B*a^24*b^33*d^6 + 3843840*A^2*B*a^26*b^31*d^6 + 7824960*A^2*B*a^28*b^29*d^6 + 11366784*A^2*B*a^30*b^27*d^6 + 12016576*A^2*B*a^32*b^25*d^6 + 9152000*A^2*B*a^34*b^23*d^6 + 4758208*A^2*B*a^36*b^21*d^6 + 1386112*A^2*B*a^38*b^19*d^6 - 54208*A^2*B*a^40*b^17*d^6 - 250112*A^2*B*a^42*b^15*d^6 - 111936*A^2*B*a^44*b^13*d^6 - 23808*A^2*B*a^46*b^11*d^6 - 2112*A^2*B*a^48*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(64*A^4*a^14*b^40*d^5 + 512*A^4*a^16*b^38*d^5 + 544*A^4*a^18*b^36*d^5 - 10304*A^4*a^20*b^34*d^5 - 66976*A^4*a^22*b^32*d^5 - 221312*A^4*a^24*b^30*d^5 - 480480*A^4*a^26*b^28*d^5 - 741312*A^4*a^28*b^26*d^5 - 837408*A^4*a^30*b^24*d^5 - 695552*A^4*a^32*b^22*d^5 - 416416*A^4*a^34*b^20*d^5 - 168896*A^4*a^36*b^18*d^5 - 37856*A^4*a^38*b^16*d^5 + 896*A^4*a^40*b^14*d^5 + 3424*A^4*a^42*b^12*d^5 + 960*A^4*a^44*b^10*d^5 + 96*A^4*a^46*b^8*d^5 + 32*B^4*a^18*b^36*d^5 + 448*B^4*a^20*b^34*d^5 + 2912*B^4*a^22*b^32*d^5 + 11648*B^4*a^24*b^30*d^5 + 32032*B^4*a^26*b^28*d^5 + 64064*B^4*a^28*b^26*d^5 + 96096*B^4*a^30*b^24*d^5 + 109824*B^4*a^32*b^22*d^5 + 96096*B^4*a^34*b^20*d^5 + 64064*B^4*a^36*b^18*d^5 + 32032*B^4*a^38*b^16*d^5 + 11648*B^4*a^40*b^14*d^5 + 2912*B^4*a^42*b^12*d^5 + 448*B^4*a^44*b^10*d^5 + 32*B^4*a^46*b^8*d^5 - 512*A^3*B*a^15*b^39*d^5 - 6656*A^3*B*a^17*b^37*d^5 - 39424*A^3*B*a^19*b^35*d^5 - 139776*A^3*B*a^21*b^33*d^5 - 326144*A^3*B*a^23*b^31*d^5 - 512512*A^3*B*a^25*b^29*d^5 - 512512*A^3*B*a^27*b^27*d^5 - 219648*A^3*B*a^29*b^25*d^5 + 219648*A^3*B*a^31*b^23*d^5 + 512512*A^3*B*a^33*b^21*d^5 + 512512*A^3*B*a^35*b^19*d^5 + 326144*A^3*B*a^37*b^17*d^5 + 139776*A^3*B*a^39*b^15*d^5 + 39424*A^3*B*a^41*b^13*d^5 + 6656*A^3*B*a^43*b^11*d^5 + 512*A^3*B*a^45*b^9*d^5 - 64*A^2*B^2*a^14*b^40*d^5 - 512*A^2*B^2*a^16*b^38*d^5 - 448*A^2*B^2*a^18*b^36*d^5 + 11648*A^2*B^2*a^20*b^34*d^5 + 75712*A^2*B^2*a^22*b^32*d^5 + 256256*A^2*B^2*a^24*b^30*d^5 + 576576*A^2*B^2*a^26*b^28*d^5 + 933504*A^2*B^2*a^28*b^26*d^5 + 1125696*A^2*B^2*a^30*b^24*d^5 + 1025024*A^2*B^2*a^32*b^22*d^5 + 704704*A^2*B^2*a^34*b^20*d^5 + 361088*A^2*B^2*a^36*b^18*d^5 + 133952*A^2*B^2*a^38*b^16*d^5 + 34048*A^2*B^2*a^40*b^14*d^5 + 5312*A^2*B^2*a^42*b^12*d^5 + 384*A^2*B^2*a^44*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) + ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(1413984*A^3*a^33*b^24*d^6 - 384*A^3*a^15*b^42*d^6 - 7296*A^3*a^17*b^40*d^6 - 59424*A^3*a^19*b^38*d^6 - 280992*A^3*a^21*b^36*d^6 - 866208*A^3*a^23*b^34*d^6 - 1825824*A^3*a^25*b^32*d^6 - 2629536*A^3*a^27*b^30*d^6 - 2374944*A^3*a^29*b^28*d^6 - 727584*A^3*a^31*b^26*d^6 - ((a + b*tan(c + d*x))^(1/2)*(256*A^2*a^15*b^44*d^7 + 4608*A^2*a^17*b^42*d^7 + 40512*A^2*a^19*b^40*d^7 + 224768*A^2*a^21*b^38*d^7 + 864768*A^2*a^23*b^36*d^7 + 2419200*A^2*a^25*b^34*d^7 + 5055232*A^2*a^27*b^32*d^7 + 8007168*A^2*a^29*b^30*d^7 + 9664512*A^2*a^31*b^28*d^7 + 8859136*A^2*a^33*b^26*d^7 + 6095232*A^2*a^35*b^24*d^7 + 3095040*A^2*a^37*b^22*d^7 + 1164800*A^2*a^39*b^20*d^7 + 376320*A^2*a^41*b^18*d^7 + 154368*A^2*a^43*b^16*d^7 + 76288*A^2*a^45*b^14*d^7 + 28416*A^2*a^47*b^12*d^7 + 6144*A^2*a^49*b^10*d^7 + 576*A^2*a^51*b^8*d^7 - 1344*B^2*a^19*b^40*d^7 - 15872*B^2*a^21*b^38*d^7 - 81408*B^2*a^23*b^36*d^7 - 225792*B^2*a^25*b^34*d^7 - 302848*B^2*a^27*b^32*d^7 + 139776*B^2*a^29*b^30*d^7 + 1537536*B^2*a^31*b^28*d^7 + 3587584*B^2*a^33*b^26*d^7 + 5106816*B^2*a^35*b^24*d^7 + 5051904*B^2*a^37*b^22*d^7 + 3587584*B^2*a^39*b^20*d^7 + 1817088*B^2*a^41*b^18*d^7 + 628992*B^2*a^43*b^16*d^7 + 132608*B^2*a^45*b^14*d^7 + 10752*B^2*a^47*b^12*d^7 - 1536*B^2*a^49*b^10*d^7 - 320*B^2*a^51*b^8*d^7 + 512*A*B*a^18*b^41*d^7 + 1536*A*B*a^20*b^39*d^7 - 29184*A*B*a^22*b^37*d^7 - 283136*A*B*a^24*b^35*d^7 - 1257984*A*B*a^26*b^33*d^7 - 3494400*A*B*a^28*b^31*d^7 - 6662656*A*B*a^30*b^29*d^7 - 9005568*A*B*a^32*b^27*d^7 - 8566272*A*B*a^34*b^25*d^7 - 5344768*A*B*a^36*b^23*d^7 - 1537536*A*B*a^38*b^21*d^7 + 698880*A*B*a^40*b^19*d^7 + 1071616*A*B*a^42*b^17*d^7 + 612864*A*B*a^44*b^15*d^7 + 201216*A*B*a^46*b^13*d^7 + 37376*A*B*a^48*b^11*d^7 + 3072*A*B*a^50*b^9*d^7) - (-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^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*a^16*b^46*d^8 + 9728*A*a^18*b^44*d^8 + 87936*A*a^20*b^42*d^8 + 502144*A*a^22*b^40*d^8 + 2028544*A*a^24*b^38*d^8 + 6153216*A*a^26*b^36*d^8 + 14518784*A*a^28*b^34*d^8 + 27243008*A*a^30*b^32*d^8 + 41213952*A*a^32*b^30*d^8 + 50665472*A*a^34*b^28*d^8 + 50775296*A*a^36*b^26*d^8 + 41443584*A*a^38*b^24*d^8 + 27409408*A*a^40*b^22*d^8 + 14543872*A*a^42*b^20*d^8 + 6093312*A*a^44*b^18*d^8 + 1966592*A*a^46*b^16*d^8 + 470528*A*a^48*b^14*d^8 + 78336*A*a^50*b^12*d^8 + 8064*A*a^52*b^10*d^8 + 384*A*a^54*b^8*d^8 + 128*B*a^19*b^43*d^8 + 1664*B*a^21*b^41*d^8 + 9216*B*a^23*b^39*d^8 + 25600*B*a^25*b^37*d^8 + 17920*B*a^27*b^35*d^8 - 139776*B*a^29*b^33*d^8 - 652288*B*a^31*b^31*d^8 - 1610752*B*a^33*b^29*d^8 - 2745600*B*a^35*b^27*d^8 - 3477760*B*a^37*b^25*d^8 - 3367936*B*a^39*b^23*d^8 - 2515968*B*a^41*b^21*d^8 - 1444352*B*a^43*b^19*d^8 - 627200*B*a^45*b^17*d^8 - 199680*B*a^47*b^15*d^8 - 44032*B*a^49*b^13*d^8 - 6016*B*a^51*b^11*d^8 - 384*B*a^53*b^9*d^8))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) + 2649504*A^3*a^35*b^22*d^6 + 2454816*A^3*a^37*b^20*d^6 + 1476384*A^3*a^39*b^18*d^6 + 597408*A^3*a^41*b^16*d^6 + 156192*A^3*a^43*b^14*d^6 + 22944*A^3*a^45*b^12*d^6 + 1056*A^3*a^47*b^10*d^6 - 96*A^3*a^49*b^8*d^6 + 64*B^3*a^20*b^37*d^6 + 896*B^3*a^22*b^35*d^6 + 5824*B^3*a^24*b^33*d^6 + 23296*B^3*a^26*b^31*d^6 + 64064*B^3*a^28*b^29*d^6 + 128128*B^3*a^30*b^27*d^6 + 192192*B^3*a^32*b^25*d^6 + 219648*B^3*a^34*b^23*d^6 + 192192*B^3*a^36*b^21*d^6 + 128128*B^3*a^38*b^19*d^6 + 64064*B^3*a^40*b^17*d^6 + 23296*B^3*a^42*b^15*d^6 + 5824*B^3*a^44*b^13*d^6 + 896*B^3*a^46*b^11*d^6 + 64*B^3*a^48*b^9*d^6 + 1280*A*B^2*a^17*b^40*d^6 + 15328*A*B^2*a^19*b^38*d^6 + 80480*A*B^2*a^21*b^36*d^6 + 234080*A*B^2*a^23*b^34*d^6 + 364000*A*B^2*a^25*b^32*d^6 + 72800*A*B^2*a^27*b^30*d^6 - 1057056*A*B^2*a^29*b^28*d^6 - 2814240*A*B^2*a^31*b^26*d^6 - 4187040*A*B^2*a^33*b^24*d^6 - 4232800*A*B^2*a^35*b^22*d^6 - 3043040*A*B^2*a^37*b^20*d^6 - 1552096*A*B^2*a^39*b^18*d^6 - 538720*A*B^2*a^41*b^16*d^6 - 113120*A*B^2*a^43*b^14*d^6 - 8800*A*B^2*a^45*b^12*d^6 + 1440*A*B^2*a^47*b^10*d^6 + 288*A*B^2*a^49*b^8*d^6 - 128*A^2*B*a^14*b^43*d^6 - 2176*A^2*B*a^16*b^41*d^6 - 11264*A^2*B*a^18*b^39*d^6 - 3008*A^2*B*a^20*b^37*d^6 + 226688*A^2*B*a^22*b^35*d^6 + 1263808*A^2*B*a^24*b^33*d^6 + 3843840*A^2*B*a^26*b^31*d^6 + 7824960*A^2*B*a^28*b^29*d^6 + 11366784*A^2*B*a^30*b^27*d^6 + 12016576*A^2*B*a^32*b^25*d^6 + 9152000*A^2*B*a^34*b^23*d^6 + 4758208*A^2*B*a^36*b^21*d^6 + 1386112*A^2*B*a^38*b^19*d^6 - 54208*A^2*B*a^40*b^17*d^6 - 250112*A^2*B*a^42*b^15*d^6 - 111936*A^2*B*a^44*b^13*d^6 - 23808*A^2*B*a^46*b^11*d^6 - 2112*A^2*B*a^48*b^9*d^6) + (a + b*tan(c + d*x))^(1/2)*(64*A^4*a^14*b^40*d^5 + 512*A^4*a^16*b^38*d^5 + 544*A^4*a^18*b^36*d^5 - 10304*A^4*a^20*b^34*d^5 - 66976*A^4*a^22*b^32*d^5 - 221312*A^4*a^24*b^30*d^5 - 480480*A^4*a^26*b^28*d^5 - 741312*A^4*a^28*b^26*d^5 - 837408*A^4*a^30*b^24*d^5 - 695552*A^4*a^32*b^22*d^5 - 416416*A^4*a^34*b^20*d^5 - 168896*A^4*a^36*b^18*d^5 - 37856*A^4*a^38*b^16*d^5 + 896*A^4*a^40*b^14*d^5 + 3424*A^4*a^42*b^12*d^5 + 960*A^4*a^44*b^10*d^5 + 96*A^4*a^46*b^8*d^5 + 32*B^4*a^18*b^36*d^5 + 448*B^4*a^20*b^34*d^5 + 2912*B^4*a^22*b^32*d^5 + 11648*B^4*a^24*b^30*d^5 + 32032*B^4*a^26*b^28*d^5 + 64064*B^4*a^28*b^26*d^5 + 96096*B^4*a^30*b^24*d^5 + 109824*B^4*a^32*b^22*d^5 + 96096*B^4*a^34*b^20*d^5 + 64064*B^4*a^36*b^18*d^5 + 32032*B^4*a^38*b^16*d^5 + 11648*B^4*a^40*b^14*d^5 + 2912*B^4*a^42*b^12*d^5 + 448*B^4*a^44*b^10*d^5 + 32*B^4*a^46*b^8*d^5 - 512*A^3*B*a^15*b^39*d^5 - 6656*A^3*B*a^17*b^37*d^5 - 39424*A^3*B*a^19*b^35*d^5 - 139776*A^3*B*a^21*b^33*d^5 - 326144*A^3*B*a^23*b^31*d^5 - 512512*A^3*B*a^25*b^29*d^5 - 512512*A^3*B*a^27*b^27*d^5 - 219648*A^3*B*a^29*b^25*d^5 + 219648*A^3*B*a^31*b^23*d^5 + 512512*A^3*B*a^33*b^21*d^5 + 512512*A^3*B*a^35*b^19*d^5 + 326144*A^3*B*a^37*b^17*d^5 + 139776*A^3*B*a^39*b^15*d^5 + 39424*A^3*B*a^41*b^13*d^5 + 6656*A^3*B*a^43*b^11*d^5 + 512*A^3*B*a^45*b^9*d^5 - 64*A^2*B^2*a^14*b^40*d^5 - 512*A^2*B^2*a^16*b^38*d^5 - 448*A^2*B^2*a^18*b^36*d^5 + 11648*A^2*B^2*a^20*b^34*d^5 + 75712*A^2*B^2*a^22*b^32*d^5 + 256256*A^2*B^2*a^24*b^30*d^5 + 576576*A^2*B^2*a^26*b^28*d^5 + 933504*A^2*B^2*a^28*b^26*d^5 + 1125696*A^2*B^2*a^30*b^24*d^5 + 1025024*A^2*B^2*a^32*b^22*d^5 + 704704*A^2*B^2*a^34*b^20*d^5 + 361088*A^2*B^2*a^36*b^18*d^5 + 133952*A^2*B^2*a^38*b^16*d^5 + 34048*A^2*B^2*a^40*b^14*d^5 + 5312*A^2*B^2*a^42*b^12*d^5 + 384*A^2*B^2*a^44*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) + 64*A^5*a^14*b^38*d^4 + 896*A^5*a^16*b^36*d^4 + 5824*A^5*a^18*b^34*d^4 + 23296*A^5*a^20*b^32*d^4 + 64064*A^5*a^22*b^30*d^4 + 128128*A^5*a^24*b^28*d^4 + 192192*A^5*a^26*b^26*d^4 + 219648*A^5*a^28*b^24*d^4 + 192192*A^5*a^30*b^22*d^4 + 128128*A^5*a^32*b^20*d^4 + 64064*A^5*a^34*b^18*d^4 + 23296*A^5*a^36*b^16*d^4 + 5824*A^5*a^38*b^14*d^4 + 896*A^5*a^40*b^12*d^4 + 64*A^5*a^42*b^10*d^4 + 64*A*B^4*a^16*b^36*d^4 + 896*A*B^4*a^18*b^34*d^4 + 5824*A*B^4*a^20*b^32*d^4 + 23296*A*B^4*a^22*b^30*d^4 + 64064*A*B^4*a^24*b^28*d^4 + 128128*A*B^4*a^26*b^26*d^4 + 192192*A*B^4*a^28*b^24*d^4 + 219648*A*B^4*a^30*b^22*d^4 + 192192*A*B^4*a^32*b^20*d^4 + 128128*A*B^4*a^34*b^18*d^4 + 64064*A*B^4*a^36*b^16*d^4 + 23296*A*B^4*a^38*b^14*d^4 + 5824*A*B^4*a^40*b^12*d^4 + 896*A*B^4*a^42*b^10*d^4 + 64*A*B^4*a^44*b^8*d^4 - 128*A^4*B*a^15*b^37*d^4 - 1792*A^4*B*a^17*b^35*d^4 - 11648*A^4*B*a^19*b^33*d^4 - 46592*A^4*B*a^21*b^31*d^4 - 128128*A^4*B*a^23*b^29*d^4 - 256256*A^4*B*a^25*b^27*d^4 - 384384*A^4*B*a^27*b^25*d^4 - 439296*A^4*B*a^29*b^23*d^4 - 384384*A^4*B*a^31*b^21*d^4 - 256256*A^4*B*a^33*b^19*d^4 - 128128*A^4*B*a^35*b^17*d^4 - 46592*A^4*B*a^37*b^15*d^4 - 11648*A^4*B*a^39*b^13*d^4 - 1792*A^4*B*a^41*b^11*d^4 - 128*A^4*B*a^43*b^9*d^4 - 128*A^2*B^3*a^15*b^37*d^4 - 1792*A^2*B^3*a^17*b^35*d^4 - 11648*A^2*B^3*a^19*b^33*d^4 - 46592*A^2*B^3*a^21*b^31*d^4 - 128128*A^2*B^3*a^23*b^29*d^4 - 256256*A^2*B^3*a^25*b^27*d^4 - 384384*A^2*B^3*a^27*b^25*d^4 - 439296*A^2*B^3*a^29*b^23*d^4 - 384384*A^2*B^3*a^31*b^21*d^4 - 256256*A^2*B^3*a^33*b^19*d^4 - 128128*A^2*B^3*a^35*b^17*d^4 - 46592*A^2*B^3*a^37*b^15*d^4 - 11648*A^2*B^3*a^39*b^13*d^4 - 1792*A^2*B^3*a^41*b^11*d^4 - 128*A^2*B^3*a^43*b^9*d^4 + 64*A^3*B^2*a^14*b^38*d^4 + 960*A^3*B^2*a^16*b^36*d^4 + 6720*A^3*B^2*a^18*b^34*d^4 + 29120*A^3*B^2*a^20*b^32*d^4 + 87360*A^3*B^2*a^22*b^30*d^4 + 192192*A^3*B^2*a^24*b^28*d^4 + 320320*A^3*B^2*a^26*b^26*d^4 + 411840*A^3*B^2*a^28*b^24*d^4 + 411840*A^3*B^2*a^30*b^22*d^4 + 320320*A^3*B^2*a^32*b^20*d^4 + 192192*A^3*B^2*a^34*b^18*d^4 + 87360*A^3*B^2*a^36*b^16*d^4 + 29120*A^3*B^2*a^38*b^14*d^4 + 6720*A^3*B^2*a^40*b^12*d^4 + 960*A^3*B^2*a^42*b^10*d^4 + 64*A^3*B^2*a^44*b^8*d^4))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*2i + atan(-((((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + 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225792*B^2*a^25*b^34*d^7 - 302848*B^2*a^27*b^32*d^7 + 139776*B^2*a^29*b^30*d^7 + 1537536*B^2*a^31*b^28*d^7 + 3587584*B^2*a^33*b^26*d^7 + 5106816*B^2*a^35*b^24*d^7 + 5051904*B^2*a^37*b^22*d^7 + 3587584*B^2*a^39*b^20*d^7 + 1817088*B^2*a^41*b^18*d^7 + 628992*B^2*a^43*b^16*d^7 + 132608*B^2*a^45*b^14*d^7 + 10752*B^2*a^47*b^12*d^7 - 1536*B^2*a^49*b^10*d^7 - 320*B^2*a^51*b^8*d^7 + 512*A*B*a^18*b^41*d^7 + 1536*A*B*a^20*b^39*d^7 - 29184*A*B*a^22*b^37*d^7 - 283136*A*B*a^24*b^35*d^7 - 1257984*A*B*a^26*b^33*d^7 - 3494400*A*B*a^28*b^31*d^7 - 6662656*A*B*a^30*b^29*d^7 - 9005568*A*B*a^32*b^27*d^7 - 8566272*A*B*a^34*b^25*d^7 - 5344768*A*B*a^36*b^23*d^7 - 1537536*A*B*a^38*b^21*d^7 + 698880*A*B*a^40*b^19*d^7 + 1071616*A*B*a^42*b^17*d^7 + 612864*A*B*a^44*b^15*d^7 + 201216*A*B*a^46*b^13*d^7 + 37376*A*B*a^48*b^11*d^7 + 3072*A*B*a^50*b^9*d^7) + ((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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*a^16*b^46*d^8 - (a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^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) + 9728*A*a^18*b^44*d^8 + 87936*A*a^20*b^42*d^8 + 502144*A*a^22*b^40*d^8 + 2028544*A*a^24*b^38*d^8 + 6153216*A*a^26*b^36*d^8 + 14518784*A*a^28*b^34*d^8 + 27243008*A*a^30*b^32*d^8 + 41213952*A*a^32*b^30*d^8 + 50665472*A*a^34*b^28*d^8 + 50775296*A*a^36*b^26*d^8 + 41443584*A*a^38*b^24*d^8 + 27409408*A*a^40*b^22*d^8 + 14543872*A*a^42*b^20*d^8 + 6093312*A*a^44*b^18*d^8 + 1966592*A*a^46*b^16*d^8 + 470528*A*a^48*b^14*d^8 + 78336*A*a^50*b^12*d^8 + 8064*A*a^52*b^10*d^8 + 384*A*a^54*b^8*d^8 + 128*B*a^19*b^43*d^8 + 1664*B*a^21*b^41*d^8 + 9216*B*a^23*b^39*d^8 + 25600*B*a^25*b^37*d^8 + 17920*B*a^27*b^35*d^8 - 139776*B*a^29*b^33*d^8 - 652288*B*a^31*b^31*d^8 - 1610752*B*a^33*b^29*d^8 - 2745600*B*a^35*b^27*d^8 - 3477760*B*a^37*b^25*d^8 - 3367936*B*a^39*b^23*d^8 - 2515968*B*a^41*b^21*d^8 - 1444352*B*a^43*b^19*d^8 - 627200*B*a^45*b^17*d^8 - 199680*B*a^47*b^15*d^8 - 44032*B*a^49*b^13*d^8 - 6016*B*a^51*b^11*d^8 - 384*B*a^53*b^9*d^8))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^3*a^15*b^42*d^6 - 7296*A^3*a^17*b^40*d^6 - 59424*A^3*a^19*b^38*d^6 - 280992*A^3*a^21*b^36*d^6 - 866208*A^3*a^23*b^34*d^6 - 1825824*A^3*a^25*b^32*d^6 - 2629536*A^3*a^27*b^30*d^6 - 2374944*A^3*a^29*b^28*d^6 - 727584*A^3*a^31*b^26*d^6 + 1413984*A^3*a^33*b^24*d^6 + 2649504*A^3*a^35*b^22*d^6 + 2454816*A^3*a^37*b^20*d^6 + 1476384*A^3*a^39*b^18*d^6 + 597408*A^3*a^41*b^16*d^6 + 156192*A^3*a^43*b^14*d^6 + 22944*A^3*a^45*b^12*d^6 + 1056*A^3*a^47*b^10*d^6 - 96*A^3*a^49*b^8*d^6 + 64*B^3*a^20*b^37*d^6 + 896*B^3*a^22*b^35*d^6 + 5824*B^3*a^24*b^33*d^6 + 23296*B^3*a^26*b^31*d^6 + 64064*B^3*a^28*b^29*d^6 + 128128*B^3*a^30*b^27*d^6 + 192192*B^3*a^32*b^25*d^6 + 219648*B^3*a^34*b^23*d^6 + 192192*B^3*a^36*b^21*d^6 + 128128*B^3*a^38*b^19*d^6 + 64064*B^3*a^40*b^17*d^6 + 23296*B^3*a^42*b^15*d^6 + 5824*B^3*a^44*b^13*d^6 + 896*B^3*a^46*b^11*d^6 + 64*B^3*a^48*b^9*d^6 + 1280*A*B^2*a^17*b^40*d^6 + 15328*A*B^2*a^19*b^38*d^6 + 80480*A*B^2*a^21*b^36*d^6 + 234080*A*B^2*a^23*b^34*d^6 + 364000*A*B^2*a^25*b^32*d^6 + 72800*A*B^2*a^27*b^30*d^6 - 1057056*A*B^2*a^29*b^28*d^6 - 2814240*A*B^2*a^31*b^26*d^6 - 4187040*A*B^2*a^33*b^24*d^6 - 4232800*A*B^2*a^35*b^22*d^6 - 3043040*A*B^2*a^37*b^20*d^6 - 1552096*A*B^2*a^39*b^18*d^6 - 538720*A*B^2*a^41*b^16*d^6 - 113120*A*B^2*a^43*b^14*d^6 - 8800*A*B^2*a^45*b^12*d^6 + 1440*A*B^2*a^47*b^10*d^6 + 288*A*B^2*a^49*b^8*d^6 - 128*A^2*B*a^14*b^43*d^6 - 2176*A^2*B*a^16*b^41*d^6 - 11264*A^2*B*a^18*b^39*d^6 - 3008*A^2*B*a^20*b^37*d^6 + 226688*A^2*B*a^22*b^35*d^6 + 1263808*A^2*B*a^24*b^33*d^6 + 3843840*A^2*B*a^26*b^31*d^6 + 7824960*A^2*B*a^28*b^29*d^6 + 11366784*A^2*B*a^30*b^27*d^6 + 12016576*A^2*B*a^32*b^25*d^6 + 9152000*A^2*B*a^34*b^23*d^6 + 4758208*A^2*B*a^36*b^21*d^6 + 1386112*A^2*B*a^38*b^19*d^6 - 54208*A^2*B*a^40*b^17*d^6 - 250112*A^2*B*a^42*b^15*d^6 - 111936*A^2*B*a^44*b^13*d^6 - 23808*A^2*B*a^46*b^11*d^6 - 2112*A^2*B*a^48*b^9*d^6) - (a + b*tan(c + d*x))^(1/2)*(64*A^4*a^14*b^40*d^5 + 512*A^4*a^16*b^38*d^5 + 544*A^4*a^18*b^36*d^5 - 10304*A^4*a^20*b^34*d^5 - 66976*A^4*a^22*b^32*d^5 - 221312*A^4*a^24*b^30*d^5 - 480480*A^4*a^26*b^28*d^5 - 741312*A^4*a^28*b^26*d^5 - 837408*A^4*a^30*b^24*d^5 - 695552*A^4*a^32*b^22*d^5 - 416416*A^4*a^34*b^20*d^5 - 168896*A^4*a^36*b^18*d^5 - 37856*A^4*a^38*b^16*d^5 + 896*A^4*a^40*b^14*d^5 + 3424*A^4*a^42*b^12*d^5 + 960*A^4*a^44*b^10*d^5 + 96*A^4*a^46*b^8*d^5 + 32*B^4*a^18*b^36*d^5 + 448*B^4*a^20*b^34*d^5 + 2912*B^4*a^22*b^32*d^5 + 11648*B^4*a^24*b^30*d^5 + 32032*B^4*a^26*b^28*d^5 + 64064*B^4*a^28*b^26*d^5 + 96096*B^4*a^30*b^24*d^5 + 109824*B^4*a^32*b^22*d^5 + 96096*B^4*a^34*b^20*d^5 + 64064*B^4*a^36*b^18*d^5 + 32032*B^4*a^38*b^16*d^5 + 11648*B^4*a^40*b^14*d^5 + 2912*B^4*a^42*b^12*d^5 + 448*B^4*a^44*b^10*d^5 + 32*B^4*a^46*b^8*d^5 - 512*A^3*B*a^15*b^39*d^5 - 6656*A^3*B*a^17*b^37*d^5 - 39424*A^3*B*a^19*b^35*d^5 - 139776*A^3*B*a^21*b^33*d^5 - 326144*A^3*B*a^23*b^31*d^5 - 512512*A^3*B*a^25*b^29*d^5 - 512512*A^3*B*a^27*b^27*d^5 - 219648*A^3*B*a^29*b^25*d^5 + 219648*A^3*B*a^31*b^23*d^5 + 512512*A^3*B*a^33*b^21*d^5 + 512512*A^3*B*a^35*b^19*d^5 + 326144*A^3*B*a^37*b^17*d^5 + 139776*A^3*B*a^39*b^15*d^5 + 39424*A^3*B*a^41*b^13*d^5 + 6656*A^3*B*a^43*b^11*d^5 + 512*A^3*B*a^45*b^9*d^5 - 64*A^2*B^2*a^14*b^40*d^5 - 512*A^2*B^2*a^16*b^38*d^5 - 448*A^2*B^2*a^18*b^36*d^5 + 11648*A^2*B^2*a^20*b^34*d^5 + 75712*A^2*B^2*a^22*b^32*d^5 + 256256*A^2*B^2*a^24*b^30*d^5 + 576576*A^2*B^2*a^26*b^28*d^5 + 933504*A^2*B^2*a^28*b^26*d^5 + 1125696*A^2*B^2*a^30*b^24*d^5 + 1025024*A^2*B^2*a^32*b^22*d^5 + 704704*A^2*B^2*a^34*b^20*d^5 + 361088*A^2*B^2*a^36*b^18*d^5 + 133952*A^2*B^2*a^38*b^16*d^5 + 34048*A^2*B^2*a^40*b^14*d^5 + 5312*A^2*B^2*a^42*b^12*d^5 + 384*A^2*B^2*a^44*b^10*d^5))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*1i - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(1413984*A^3*a^33*b^24*d^6 - 384*A^3*a^15*b^42*d^6 - 7296*A^3*a^17*b^40*d^6 - 59424*A^3*a^19*b^38*d^6 - 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8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^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 + 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1025024*A^2*B^2*a^32*b^22*d^5 + 704704*A^2*B^2*a^34*b^20*d^5 + 361088*A^2*B^2*a^36*b^18*d^5 + 133952*A^2*B^2*a^38*b^16*d^5 + 34048*A^2*B^2*a^40*b^14*d^5 + 5312*A^2*B^2*a^42*b^12*d^5 + 384*A^2*B^2*a^44*b^10*d^5))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*1i)/((((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + 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80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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*a^16*b^46*d^8 - (a + b*tan(c + d*x))^(1/2)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(a^10*d^4 + b^10*d^4 + 5*a^2*b^8*d^4 + 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80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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) + (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(1413984*A^3*a^33*b^24*d^6 - 384*A^3*a^15*b^42*d^6 - 7296*A^3*a^17*b^40*d^6 - 59424*A^3*a^19*b^38*d^6 - 280992*A^3*a^21*b^36*d^6 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192192*A^5*a^30*b^22*d^4 + 128128*A^5*a^32*b^20*d^4 + 64064*A^5*a^34*b^18*d^4 + 23296*A^5*a^36*b^16*d^4 + 5824*A^5*a^38*b^14*d^4 + 896*A^5*a^40*b^12*d^4 + 64*A^5*a^42*b^10*d^4 + 64*A*B^4*a^16*b^36*d^4 + 896*A*B^4*a^18*b^34*d^4 + 5824*A*B^4*a^20*b^32*d^4 + 23296*A*B^4*a^22*b^30*d^4 + 64064*A*B^4*a^24*b^28*d^4 + 128128*A*B^4*a^26*b^26*d^4 + 192192*A*B^4*a^28*b^24*d^4 + 219648*A*B^4*a^30*b^22*d^4 + 192192*A*B^4*a^32*b^20*d^4 + 128128*A*B^4*a^34*b^18*d^4 + 64064*A*B^4*a^36*b^16*d^4 + 23296*A*B^4*a^38*b^14*d^4 + 5824*A*B^4*a^40*b^12*d^4 + 896*A*B^4*a^42*b^10*d^4 + 64*A*B^4*a^44*b^8*d^4 - 128*A^4*B*a^15*b^37*d^4 - 1792*A^4*B*a^17*b^35*d^4 - 11648*A^4*B*a^19*b^33*d^4 - 46592*A^4*B*a^21*b^31*d^4 - 128128*A^4*B*a^23*b^29*d^4 - 256256*A^4*B*a^25*b^27*d^4 - 384384*A^4*B*a^27*b^25*d^4 - 439296*A^4*B*a^29*b^23*d^4 - 384384*A^4*B*a^31*b^21*d^4 - 256256*A^4*B*a^33*b^19*d^4 - 128128*A^4*B*a^35*b^17*d^4 - 46592*A^4*B*a^37*b^15*d^4 - 11648*A^4*B*a^39*b^13*d^4 - 1792*A^4*B*a^41*b^11*d^4 - 128*A^4*B*a^43*b^9*d^4 - 128*A^2*B^3*a^15*b^37*d^4 - 1792*A^2*B^3*a^17*b^35*d^4 - 11648*A^2*B^3*a^19*b^33*d^4 - 46592*A^2*B^3*a^21*b^31*d^4 - 128128*A^2*B^3*a^23*b^29*d^4 - 256256*A^2*B^3*a^25*b^27*d^4 - 384384*A^2*B^3*a^27*b^25*d^4 - 439296*A^2*B^3*a^29*b^23*d^4 - 384384*A^2*B^3*a^31*b^21*d^4 - 256256*A^2*B^3*a^33*b^19*d^4 - 128128*A^2*B^3*a^35*b^17*d^4 - 46592*A^2*B^3*a^37*b^15*d^4 - 11648*A^2*B^3*a^39*b^13*d^4 - 1792*A^2*B^3*a^41*b^11*d^4 - 128*A^2*B^3*a^43*b^9*d^4 + 64*A^3*B^2*a^14*b^38*d^4 + 960*A^3*B^2*a^16*b^36*d^4 + 6720*A^3*B^2*a^18*b^34*d^4 + 29120*A^3*B^2*a^20*b^32*d^4 + 87360*A^3*B^2*a^22*b^30*d^4 + 192192*A^3*B^2*a^24*b^28*d^4 + 320320*A^3*B^2*a^26*b^26*d^4 + 411840*A^3*B^2*a^28*b^24*d^4 + 411840*A^3*B^2*a^30*b^22*d^4 + 320320*A^3*B^2*a^32*b^20*d^4 + 192192*A^3*B^2*a^34*b^18*d^4 + 87360*A^3*B^2*a^36*b^16*d^4 + 29120*A^3*B^2*a^38*b^14*d^4 + 6720*A^3*B^2*a^40*b^12*d^4 + 960*A^3*B^2*a^42*b^10*d^4 + 64*A^3*B^2*a^44*b^8*d^4))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*2i + ((2*(A*b^2 - B*a*b))/(3*a*(a^2 + b^2)) + (2*(a + b*tan(c + d*x))*(A*b^4 + 3*A*a^2*b^2 - 2*B*a^3*b))/(a*b^2 + a^3)^2)/(d*(a + b*tan(c + d*x))^(3/2)) + (A*atan((A^4*a^22*(a + b*tan(c + d*x))^(1/2)*9i + B^4*a^22*(a + b*tan(c + d*x))^(1/2)*1i + A^2*B^2*a^22*(a + b*tan(c + d*x))^(1/2)*10i + A^4*a^12*b^10*(a + b*tan(c + d*x))^(1/2)*16i + A^4*a^14*b^8*(a + b*tan(c + d*x))^(1/2)*80i + A^4*a^16*b^6*(a + b*tan(c + d*x))^(1/2)*160i + A^4*a^18*b^4*(a + b*tan(c + d*x))^(1/2)*120i + A^4*a^20*b^2*(a + b*tan(c + d*x))^(1/2)*160i - A^3*B*a^17*b^5*(a + b*tan(c + d*x))^(1/2)*16i + A^3*B*a^19*b^3*(a + b*tan(c + d*x))^(1/2)*160i + A^2*B^2*a^18*b^4*(a + b*tan(c + d*x))^(1/2)*40i - A^2*B^2*a^20*b^2*(a + b*tan(c + d*x))^(1/2)*80i - A^3*B*a^21*b*(a + b*tan(c + d*x))^(1/2)*80i)/(a^10*(a^5)^(1/2)*(16*A^4*b^10 + a^5*(a^5*(9*A^4 + 10*A^2*B^2 + B^4) - 16*A^3*B*b^5 + 120*A^4*a*b^4 + 160*A^4*a^3*b^2 - 80*A^2*B^2*a^3*b^2 - 80*A^3*B*a^4*b + 40*A^2*B^2*a*b^4 + 160*A^3*B*a^2*b^3) + 80*A^4*a^2*b^8 + 160*A^4*a^4*b^6)))*2i)/(d*(a^5)^(1/2))","B"
363,1,67465,289,12.391756,"\text{Not used}","int((cot(c + d*x)^2*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)","\frac{\frac{2\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-8\,B\,a^3\,b^2+11\,A\,a^2\,b^3-2\,B\,a\,b^4+5\,A\,b^5\right)}{3\,{\left(a^3+a\,b^2\right)}^2}+\frac{2\,\left(A\,b^3-B\,a\,b^2\right)}{3\,a\,\left(a^2+b^2\right)}-\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2\,\left(A\,a^4\,b-6\,B\,a^3\,b^2+10\,A\,a^2\,b^3-2\,B\,a\,b^4+5\,A\,b^5\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}}+\mathrm{atan}\left(\frac{\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+1280\,A\,a^{24}\,b^{47}\,d^8+24320\,A\,a^{26}\,b^{45}\,d^8+219008\,A\,a^{28}\,b^{43}\,d^8+1241984\,A\,a^{30}\,b^{41}\,d^8+4970496\,A\,a^{32}\,b^{39}\,d^8+14909440\,A\,a^{34}\,b^{37}\,d^8+34746880\,A\,a^{36}\,b^{35}\,d^8+64356864\,A\,a^{38}\,b^{33}\,d^8+96092672\,A\,a^{40}\,b^{31}\,d^8+116633088\,A\,a^{42}\,b^{29}\,d^8+115498240\,A\,a^{44}\,b^{27}\,d^8+93267200\,A\,a^{46}\,b^{25}\,d^8+61128704\,A\,a^{48}\,b^{23}\,d^8+32212992\,A\,a^{50}\,b^{21}\,d^8+13439488\,A\,a^{52}\,b^{19}\,d^8+4334080\,A\,a^{54}\,b^{17}\,d^8+1040640\,A\,a^{56}\,b^{15}\,d^8+174848\,A\,a^{58}\,b^{13}\,d^8+18304\,A\,a^{60}\,b^{11}\,d^8+896\,A\,a^{62}\,b^9\,d^8-512\,B\,a^{25}\,b^{46}\,d^8-9728\,B\,a^{27}\,b^{44}\,d^8-87936\,B\,a^{29}\,b^{42}\,d^8-502144\,B\,a^{31}\,b^{40}\,d^8-2028544\,B\,a^{33}\,b^{38}\,d^8-6153216\,B\,a^{35}\,b^{36}\,d^8-14518784\,B\,a^{37}\,b^{34}\,d^8-27243008\,B\,a^{39}\,b^{32}\,d^8-41213952\,B\,a^{41}\,b^{30}\,d^8-50665472\,B\,a^{43}\,b^{28}\,d^8-50775296\,B\,a^{45}\,b^{26}\,d^8-41443584\,B\,a^{47}\,b^{24}\,d^8-27409408\,B\,a^{49}\,b^{22}\,d^8-14543872\,B\,a^{51}\,b^{20}\,d^8-6093312\,B\,a^{53}\,b^{18}\,d^8-1966592\,B\,a^{55}\,b^{16}\,d^8-470528\,B\,a^{57}\,b^{14}\,d^8-78336\,B\,a^{59}\,b^{12}\,d^8-8064\,B\,a^{61}\,b^{10}\,d^8-384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6+90304\,A^3\,a^{29}\,b^{37}\,d^6+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(90304\,A^3\,a^{29}\,b^{37}\,d^6-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)-1280\,A\,a^{24}\,b^{47}\,d^8-24320\,A\,a^{26}\,b^{45}\,d^8-219008\,A\,a^{28}\,b^{43}\,d^8-1241984\,A\,a^{30}\,b^{41}\,d^8-4970496\,A\,a^{32}\,b^{39}\,d^8-14909440\,A\,a^{34}\,b^{37}\,d^8-34746880\,A\,a^{36}\,b^{35}\,d^8-64356864\,A\,a^{38}\,b^{33}\,d^8-96092672\,A\,a^{40}\,b^{31}\,d^8-116633088\,A\,a^{42}\,b^{29}\,d^8-115498240\,A\,a^{44}\,b^{27}\,d^8-93267200\,A\,a^{46}\,b^{25}\,d^8-61128704\,A\,a^{48}\,b^{23}\,d^8-32212992\,A\,a^{50}\,b^{21}\,d^8-13439488\,A\,a^{52}\,b^{19}\,d^8-4334080\,A\,a^{54}\,b^{17}\,d^8-1040640\,A\,a^{56}\,b^{15}\,d^8-174848\,A\,a^{58}\,b^{13}\,d^8-18304\,A\,a^{60}\,b^{11}\,d^8-896\,A\,a^{62}\,b^9\,d^8+512\,B\,a^{25}\,b^{46}\,d^8+9728\,B\,a^{27}\,b^{44}\,d^8+87936\,B\,a^{29}\,b^{42}\,d^8+502144\,B\,a^{31}\,b^{40}\,d^8+2028544\,B\,a^{33}\,b^{38}\,d^8+6153216\,B\,a^{35}\,b^{36}\,d^8+14518784\,B\,a^{37}\,b^{34}\,d^8+27243008\,B\,a^{39}\,b^{32}\,d^8+41213952\,B\,a^{41}\,b^{30}\,d^8+50665472\,B\,a^{43}\,b^{28}\,d^8+50775296\,B\,a^{45}\,b^{26}\,d^8+41443584\,B\,a^{47}\,b^{24}\,d^8+27409408\,B\,a^{49}\,b^{22}\,d^8+14543872\,B\,a^{51}\,b^{20}\,d^8+6093312\,B\,a^{53}\,b^{18}\,d^8+1966592\,B\,a^{55}\,b^{16}\,d^8+470528\,B\,a^{57}\,b^{14}\,d^8+78336\,B\,a^{59}\,b^{12}\,d^8+8064\,B\,a^{61}\,b^{10}\,d^8+384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}}{800\,A^5\,a^{22}\,b^{39}\,d^4-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(90304\,A^3\,a^{29}\,b^{37}\,d^6-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)-1280\,A\,a^{24}\,b^{47}\,d^8-24320\,A\,a^{26}\,b^{45}\,d^8-219008\,A\,a^{28}\,b^{43}\,d^8-1241984\,A\,a^{30}\,b^{41}\,d^8-4970496\,A\,a^{32}\,b^{39}\,d^8-14909440\,A\,a^{34}\,b^{37}\,d^8-34746880\,A\,a^{36}\,b^{35}\,d^8-64356864\,A\,a^{38}\,b^{33}\,d^8-96092672\,A\,a^{40}\,b^{31}\,d^8-116633088\,A\,a^{42}\,b^{29}\,d^8-115498240\,A\,a^{44}\,b^{27}\,d^8-93267200\,A\,a^{46}\,b^{25}\,d^8-61128704\,A\,a^{48}\,b^{23}\,d^8-32212992\,A\,a^{50}\,b^{21}\,d^8-13439488\,A\,a^{52}\,b^{19}\,d^8-4334080\,A\,a^{54}\,b^{17}\,d^8-1040640\,A\,a^{56}\,b^{15}\,d^8-174848\,A\,a^{58}\,b^{13}\,d^8-18304\,A\,a^{60}\,b^{11}\,d^8-896\,A\,a^{62}\,b^9\,d^8+512\,B\,a^{25}\,b^{46}\,d^8+9728\,B\,a^{27}\,b^{44}\,d^8+87936\,B\,a^{29}\,b^{42}\,d^8+502144\,B\,a^{31}\,b^{40}\,d^8+2028544\,B\,a^{33}\,b^{38}\,d^8+6153216\,B\,a^{35}\,b^{36}\,d^8+14518784\,B\,a^{37}\,b^{34}\,d^8+27243008\,B\,a^{39}\,b^{32}\,d^8+41213952\,B\,a^{41}\,b^{30}\,d^8+50665472\,B\,a^{43}\,b^{28}\,d^8+50775296\,B\,a^{45}\,b^{26}\,d^8+41443584\,B\,a^{47}\,b^{24}\,d^8+27409408\,B\,a^{49}\,b^{22}\,d^8+14543872\,B\,a^{51}\,b^{20}\,d^8+6093312\,B\,a^{53}\,b^{18}\,d^8+1966592\,B\,a^{55}\,b^{16}\,d^8+470528\,B\,a^{57}\,b^{14}\,d^8+78336\,B\,a^{59}\,b^{12}\,d^8+8064\,B\,a^{61}\,b^{10}\,d^8+384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+1280\,A\,a^{24}\,b^{47}\,d^8+24320\,A\,a^{26}\,b^{45}\,d^8+219008\,A\,a^{28}\,b^{43}\,d^8+1241984\,A\,a^{30}\,b^{41}\,d^8+4970496\,A\,a^{32}\,b^{39}\,d^8+14909440\,A\,a^{34}\,b^{37}\,d^8+34746880\,A\,a^{36}\,b^{35}\,d^8+64356864\,A\,a^{38}\,b^{33}\,d^8+96092672\,A\,a^{40}\,b^{31}\,d^8+116633088\,A\,a^{42}\,b^{29}\,d^8+115498240\,A\,a^{44}\,b^{27}\,d^8+93267200\,A\,a^{46}\,b^{25}\,d^8+61128704\,A\,a^{48}\,b^{23}\,d^8+32212992\,A\,a^{50}\,b^{21}\,d^8+13439488\,A\,a^{52}\,b^{19}\,d^8+4334080\,A\,a^{54}\,b^{17}\,d^8+1040640\,A\,a^{56}\,b^{15}\,d^8+174848\,A\,a^{58}\,b^{13}\,d^8+18304\,A\,a^{60}\,b^{11}\,d^8+896\,A\,a^{62}\,b^9\,d^8-512\,B\,a^{25}\,b^{46}\,d^8-9728\,B\,a^{27}\,b^{44}\,d^8-87936\,B\,a^{29}\,b^{42}\,d^8-502144\,B\,a^{31}\,b^{40}\,d^8-2028544\,B\,a^{33}\,b^{38}\,d^8-6153216\,B\,a^{35}\,b^{36}\,d^8-14518784\,B\,a^{37}\,b^{34}\,d^8-27243008\,B\,a^{39}\,b^{32}\,d^8-41213952\,B\,a^{41}\,b^{30}\,d^8-50665472\,B\,a^{43}\,b^{28}\,d^8-50775296\,B\,a^{45}\,b^{26}\,d^8-41443584\,B\,a^{47}\,b^{24}\,d^8-27409408\,B\,a^{49}\,b^{22}\,d^8-14543872\,B\,a^{51}\,b^{20}\,d^8-6093312\,B\,a^{53}\,b^{18}\,d^8-1966592\,B\,a^{55}\,b^{16}\,d^8-470528\,B\,a^{57}\,b^{14}\,d^8-78336\,B\,a^{59}\,b^{12}\,d^8-8064\,B\,a^{61}\,b^{10}\,d^8-384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6+90304\,A^3\,a^{29}\,b^{37}\,d^6+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+11040\,A^5\,a^{24}\,b^{37}\,d^4+70560\,A^5\,a^{26}\,b^{35}\,d^4+276640\,A^5\,a^{28}\,b^{33}\,d^4+742560\,A^5\,a^{30}\,b^{31}\,d^4+1441440\,A^5\,a^{32}\,b^{29}\,d^4+2082080\,A^5\,a^{34}\,b^{27}\,d^4+2265120\,A^5\,a^{36}\,b^{25}\,d^4+1853280\,A^5\,a^{38}\,b^{23}\,d^4+1121120\,A^5\,a^{40}\,b^{21}\,d^4+480480\,A^5\,a^{42}\,b^{19}\,d^4+131040\,A^5\,a^{44}\,b^{17}\,d^4+14560\,A^5\,a^{46}\,b^{15}\,d^4-3360\,A^5\,a^{48}\,b^{13}\,d^4-1440\,A^5\,a^{50}\,b^{11}\,d^4-160\,A^5\,a^{52}\,b^9\,d^4+64\,B^5\,a^{23}\,b^{38}\,d^4+896\,B^5\,a^{25}\,b^{36}\,d^4+5824\,B^5\,a^{27}\,b^{34}\,d^4+23296\,B^5\,a^{29}\,b^{32}\,d^4+64064\,B^5\,a^{31}\,b^{30}\,d^4+128128\,B^5\,a^{33}\,b^{28}\,d^4+192192\,B^5\,a^{35}\,b^{26}\,d^4+219648\,B^5\,a^{37}\,b^{24}\,d^4+192192\,B^5\,a^{39}\,b^{22}\,d^4+128128\,B^5\,a^{41}\,b^{20}\,d^4+64064\,B^5\,a^{43}\,b^{18}\,d^4+23296\,B^5\,a^{45}\,b^{16}\,d^4+5824\,B^5\,a^{47}\,b^{14}\,d^4+896\,B^5\,a^{49}\,b^{12}\,d^4+64\,B^5\,a^{51}\,b^{10}\,d^4-320\,A\,B^4\,a^{22}\,b^{39}\,d^4-4192\,A\,B^4\,a^{24}\,b^{37}\,d^4-25088\,A\,B^4\,a^{26}\,b^{35}\,d^4-90272\,A\,B^4\,a^{28}\,b^{33}\,d^4-215488\,A\,B^4\,a^{30}\,b^{31}\,d^4-352352\,A\,B^4\,a^{32}\,b^{29}\,d^4-384384\,A\,B^4\,a^{34}\,b^{27}\,d^4-233376\,A\,B^4\,a^{36}\,b^{25}\,d^4+27456\,A\,B^4\,a^{38}\,b^{23}\,d^4+224224\,A\,B^4\,a^{40}\,b^{21}\,d^4+256256\,A\,B^4\,a^{42}\,b^{19}\,d^4+171808\,A\,B^4\,a^{44}\,b^{17}\,d^4+75712\,A\,B^4\,a^{46}\,b^{15}\,d^4+21728\,A\,B^4\,a^{48}\,b^{13}\,d^4+3712\,A\,B^4\,a^{50}\,b^{11}\,d^4+288\,A\,B^4\,a^{52}\,b^9\,d^4+400\,A^4\,B\,a^{21}\,b^{40}\,d^4+4560\,A^4\,B\,a^{23}\,b^{38}\,d^4+21904\,A^4\,B\,a^{25}\,b^{36}\,d^4+51856\,A^4\,B\,a^{27}\,b^{34}\,d^4+27664\,A^4\,B\,a^{29}\,b^{32}\,d^4-216944\,A^4\,B\,a^{31}\,b^{30}\,d^4-816816\,A^4\,B\,a^{33}\,b^{28}\,d^4-1622192\,A^4\,B\,a^{35}\,b^{26}\,d^4-2175888\,A^4\,B\,a^{37}\,b^{24}\,d^4-2102672\,A^4\,B\,a^{39}\,b^{22}\,d^4-1489488\,A^4\,B\,a^{41}\,b^{20}\,d^4-767312\,A^4\,B\,a^{43}\,b^{18}\,d^4-278096\,A^4\,B\,a^{45}\,b^{16}\,d^4-65744\,A^4\,B\,a^{47}\,b^{14}\,d^4-8336\,A^4\,B\,a^{49}\,b^{12}\,d^4-144\,A^4\,B\,a^{51}\,b^{10}\,d^4+64\,A^4\,B\,a^{53}\,b^8\,d^4+400\,A^2\,B^3\,a^{21}\,b^{40}\,d^4+4624\,A^2\,B^3\,a^{23}\,b^{38}\,d^4+22800\,A^2\,B^3\,a^{25}\,b^{36}\,d^4+57680\,A^2\,B^3\,a^{27}\,b^{34}\,d^4+50960\,A^2\,B^3\,a^{29}\,b^{32}\,d^4-152880\,A^2\,B^3\,a^{31}\,b^{30}\,d^4-688688\,A^2\,B^3\,a^{33}\,b^{28}\,d^4-1430000\,A^2\,B^3\,a^{35}\,b^{26}\,d^4-1956240\,A^2\,B^3\,a^{37}\,b^{24}\,d^4-1910480\,A^2\,B^3\,a^{39}\,b^{22}\,d^4-1361360\,A^2\,B^3\,a^{41}\,b^{20}\,d^4-703248\,A^2\,B^3\,a^{43}\,b^{18}\,d^4-254800\,A^2\,B^3\,a^{45}\,b^{16}\,d^4-59920\,A^2\,B^3\,a^{47}\,b^{14}\,d^4-7440\,A^2\,B^3\,a^{49}\,b^{12}\,d^4-80\,A^2\,B^3\,a^{51}\,b^{10}\,d^4+64\,A^2\,B^3\,a^{53}\,b^8\,d^4+480\,A^3\,B^2\,a^{22}\,b^{39}\,d^4+6848\,A^3\,B^2\,a^{24}\,b^{37}\,d^4+45472\,A^3\,B^2\,a^{26}\,b^{35}\,d^4+186368\,A^3\,B^2\,a^{28}\,b^{33}\,d^4+527072\,A^3\,B^2\,a^{30}\,b^{31}\,d^4+1089088\,A^3\,B^2\,a^{32}\,b^{29}\,d^4+1697696\,A^3\,B^2\,a^{34}\,b^{27}\,d^4+2031744\,A^3\,B^2\,a^{36}\,b^{25}\,d^4+1880736\,A^3\,B^2\,a^{38}\,b^{23}\,d^4+1345344\,A^3\,B^2\,a^{40}\,b^{21}\,d^4+736736\,A^3\,B^2\,a^{42}\,b^{19}\,d^4+302848\,A^3\,B^2\,a^{44}\,b^{17}\,d^4+90272\,A^3\,B^2\,a^{46}\,b^{15}\,d^4+18368\,A^3\,B^2\,a^{48}\,b^{13}\,d^4+2272\,A^3\,B^2\,a^{50}\,b^{11}\,d^4+128\,A^3\,B^2\,a^{52}\,b^9\,d^4}\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+1280\,A\,a^{24}\,b^{47}\,d^8+24320\,A\,a^{26}\,b^{45}\,d^8+219008\,A\,a^{28}\,b^{43}\,d^8+1241984\,A\,a^{30}\,b^{41}\,d^8+4970496\,A\,a^{32}\,b^{39}\,d^8+14909440\,A\,a^{34}\,b^{37}\,d^8+34746880\,A\,a^{36}\,b^{35}\,d^8+64356864\,A\,a^{38}\,b^{33}\,d^8+96092672\,A\,a^{40}\,b^{31}\,d^8+116633088\,A\,a^{42}\,b^{29}\,d^8+115498240\,A\,a^{44}\,b^{27}\,d^8+93267200\,A\,a^{46}\,b^{25}\,d^8+61128704\,A\,a^{48}\,b^{23}\,d^8+32212992\,A\,a^{50}\,b^{21}\,d^8+13439488\,A\,a^{52}\,b^{19}\,d^8+4334080\,A\,a^{54}\,b^{17}\,d^8+1040640\,A\,a^{56}\,b^{15}\,d^8+174848\,A\,a^{58}\,b^{13}\,d^8+18304\,A\,a^{60}\,b^{11}\,d^8+896\,A\,a^{62}\,b^9\,d^8-512\,B\,a^{25}\,b^{46}\,d^8-9728\,B\,a^{27}\,b^{44}\,d^8-87936\,B\,a^{29}\,b^{42}\,d^8-502144\,B\,a^{31}\,b^{40}\,d^8-2028544\,B\,a^{33}\,b^{38}\,d^8-6153216\,B\,a^{35}\,b^{36}\,d^8-14518784\,B\,a^{37}\,b^{34}\,d^8-27243008\,B\,a^{39}\,b^{32}\,d^8-41213952\,B\,a^{41}\,b^{30}\,d^8-50665472\,B\,a^{43}\,b^{28}\,d^8-50775296\,B\,a^{45}\,b^{26}\,d^8-41443584\,B\,a^{47}\,b^{24}\,d^8-27409408\,B\,a^{49}\,b^{22}\,d^8-14543872\,B\,a^{51}\,b^{20}\,d^8-6093312\,B\,a^{53}\,b^{18}\,d^8-1966592\,B\,a^{55}\,b^{16}\,d^8-470528\,B\,a^{57}\,b^{14}\,d^8-78336\,B\,a^{59}\,b^{12}\,d^8-8064\,B\,a^{61}\,b^{10}\,d^8-384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6+90304\,A^3\,a^{29}\,b^{37}\,d^6+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(90304\,A^3\,a^{29}\,b^{37}\,d^6-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)-1280\,A\,a^{24}\,b^{47}\,d^8-24320\,A\,a^{26}\,b^{45}\,d^8-219008\,A\,a^{28}\,b^{43}\,d^8-1241984\,A\,a^{30}\,b^{41}\,d^8-4970496\,A\,a^{32}\,b^{39}\,d^8-14909440\,A\,a^{34}\,b^{37}\,d^8-34746880\,A\,a^{36}\,b^{35}\,d^8-64356864\,A\,a^{38}\,b^{33}\,d^8-96092672\,A\,a^{40}\,b^{31}\,d^8-116633088\,A\,a^{42}\,b^{29}\,d^8-115498240\,A\,a^{44}\,b^{27}\,d^8-93267200\,A\,a^{46}\,b^{25}\,d^8-61128704\,A\,a^{48}\,b^{23}\,d^8-32212992\,A\,a^{50}\,b^{21}\,d^8-13439488\,A\,a^{52}\,b^{19}\,d^8-4334080\,A\,a^{54}\,b^{17}\,d^8-1040640\,A\,a^{56}\,b^{15}\,d^8-174848\,A\,a^{58}\,b^{13}\,d^8-18304\,A\,a^{60}\,b^{11}\,d^8-896\,A\,a^{62}\,b^9\,d^8+512\,B\,a^{25}\,b^{46}\,d^8+9728\,B\,a^{27}\,b^{44}\,d^8+87936\,B\,a^{29}\,b^{42}\,d^8+502144\,B\,a^{31}\,b^{40}\,d^8+2028544\,B\,a^{33}\,b^{38}\,d^8+6153216\,B\,a^{35}\,b^{36}\,d^8+14518784\,B\,a^{37}\,b^{34}\,d^8+27243008\,B\,a^{39}\,b^{32}\,d^8+41213952\,B\,a^{41}\,b^{30}\,d^8+50665472\,B\,a^{43}\,b^{28}\,d^8+50775296\,B\,a^{45}\,b^{26}\,d^8+41443584\,B\,a^{47}\,b^{24}\,d^8+27409408\,B\,a^{49}\,b^{22}\,d^8+14543872\,B\,a^{51}\,b^{20}\,d^8+6093312\,B\,a^{53}\,b^{18}\,d^8+1966592\,B\,a^{55}\,b^{16}\,d^8+470528\,B\,a^{57}\,b^{14}\,d^8+78336\,B\,a^{59}\,b^{12}\,d^8+8064\,B\,a^{61}\,b^{10}\,d^8+384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,1{}\mathrm{i}}{800\,A^5\,a^{22}\,b^{39}\,d^4-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(90304\,A^3\,a^{29}\,b^{37}\,d^6-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)-1280\,A\,a^{24}\,b^{47}\,d^8-24320\,A\,a^{26}\,b^{45}\,d^8-219008\,A\,a^{28}\,b^{43}\,d^8-1241984\,A\,a^{30}\,b^{41}\,d^8-4970496\,A\,a^{32}\,b^{39}\,d^8-14909440\,A\,a^{34}\,b^{37}\,d^8-34746880\,A\,a^{36}\,b^{35}\,d^8-64356864\,A\,a^{38}\,b^{33}\,d^8-96092672\,A\,a^{40}\,b^{31}\,d^8-116633088\,A\,a^{42}\,b^{29}\,d^8-115498240\,A\,a^{44}\,b^{27}\,d^8-93267200\,A\,a^{46}\,b^{25}\,d^8-61128704\,A\,a^{48}\,b^{23}\,d^8-32212992\,A\,a^{50}\,b^{21}\,d^8-13439488\,A\,a^{52}\,b^{19}\,d^8-4334080\,A\,a^{54}\,b^{17}\,d^8-1040640\,A\,a^{56}\,b^{15}\,d^8-174848\,A\,a^{58}\,b^{13}\,d^8-18304\,A\,a^{60}\,b^{11}\,d^8-896\,A\,a^{62}\,b^9\,d^8+512\,B\,a^{25}\,b^{46}\,d^8+9728\,B\,a^{27}\,b^{44}\,d^8+87936\,B\,a^{29}\,b^{42}\,d^8+502144\,B\,a^{31}\,b^{40}\,d^8+2028544\,B\,a^{33}\,b^{38}\,d^8+6153216\,B\,a^{35}\,b^{36}\,d^8+14518784\,B\,a^{37}\,b^{34}\,d^8+27243008\,B\,a^{39}\,b^{32}\,d^8+41213952\,B\,a^{41}\,b^{30}\,d^8+50665472\,B\,a^{43}\,b^{28}\,d^8+50775296\,B\,a^{45}\,b^{26}\,d^8+41443584\,B\,a^{47}\,b^{24}\,d^8+27409408\,B\,a^{49}\,b^{22}\,d^8+14543872\,B\,a^{51}\,b^{20}\,d^8+6093312\,B\,a^{53}\,b^{18}\,d^8+1966592\,B\,a^{55}\,b^{16}\,d^8+470528\,B\,a^{57}\,b^{14}\,d^8+78336\,B\,a^{59}\,b^{12}\,d^8+8064\,B\,a^{61}\,b^{10}\,d^8+384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\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)+1280\,A\,a^{24}\,b^{47}\,d^8+24320\,A\,a^{26}\,b^{45}\,d^8+219008\,A\,a^{28}\,b^{43}\,d^8+1241984\,A\,a^{30}\,b^{41}\,d^8+4970496\,A\,a^{32}\,b^{39}\,d^8+14909440\,A\,a^{34}\,b^{37}\,d^8+34746880\,A\,a^{36}\,b^{35}\,d^8+64356864\,A\,a^{38}\,b^{33}\,d^8+96092672\,A\,a^{40}\,b^{31}\,d^8+116633088\,A\,a^{42}\,b^{29}\,d^8+115498240\,A\,a^{44}\,b^{27}\,d^8+93267200\,A\,a^{46}\,b^{25}\,d^8+61128704\,A\,a^{48}\,b^{23}\,d^8+32212992\,A\,a^{50}\,b^{21}\,d^8+13439488\,A\,a^{52}\,b^{19}\,d^8+4334080\,A\,a^{54}\,b^{17}\,d^8+1040640\,A\,a^{56}\,b^{15}\,d^8+174848\,A\,a^{58}\,b^{13}\,d^8+18304\,A\,a^{60}\,b^{11}\,d^8+896\,A\,a^{62}\,b^9\,d^8-512\,B\,a^{25}\,b^{46}\,d^8-9728\,B\,a^{27}\,b^{44}\,d^8-87936\,B\,a^{29}\,b^{42}\,d^8-502144\,B\,a^{31}\,b^{40}\,d^8-2028544\,B\,a^{33}\,b^{38}\,d^8-6153216\,B\,a^{35}\,b^{36}\,d^8-14518784\,B\,a^{37}\,b^{34}\,d^8-27243008\,B\,a^{39}\,b^{32}\,d^8-41213952\,B\,a^{41}\,b^{30}\,d^8-50665472\,B\,a^{43}\,b^{28}\,d^8-50775296\,B\,a^{45}\,b^{26}\,d^8-41443584\,B\,a^{47}\,b^{24}\,d^8-27409408\,B\,a^{49}\,b^{22}\,d^8-14543872\,B\,a^{51}\,b^{20}\,d^8-6093312\,B\,a^{53}\,b^{18}\,d^8-1966592\,B\,a^{55}\,b^{16}\,d^8-470528\,B\,a^{57}\,b^{14}\,d^8-78336\,B\,a^{59}\,b^{12}\,d^8-8064\,B\,a^{61}\,b^{10}\,d^8-384\,B\,a^{63}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-320\,A^2\,a^{60}\,b^8\,d^7+64\,A^2\,a^{58}\,b^{10}\,d^7+39552\,A^2\,a^{56}\,b^{12}\,d^7+377408\,A^2\,a^{54}\,b^{14}\,d^7+1934592\,A^2\,a^{52}\,b^{16}\,d^7+6713088\,A^2\,a^{50}\,b^{18}\,d^7+17296384\,A^2\,a^{48}\,b^{20}\,d^7+34754304\,A^2\,a^{46}\,b^{22}\,d^7+56025216\,A^2\,a^{44}\,b^{24}\,d^7+73600384\,A^2\,a^{42}\,b^{26}\,d^7+79329536\,A^2\,a^{40}\,b^{28}\,d^7+70152576\,A^2\,a^{38}\,b^{30}\,d^7+50615552\,A^2\,a^{36}\,b^{32}\,d^7+29476608\,A^2\,a^{34}\,b^{34}\,d^7+13627392\,A^2\,a^{32}\,b^{36}\,d^7+4880128\,A^2\,a^{30}\,b^{38}\,d^7+1304256\,A^2\,a^{28}\,b^{40}\,d^7+244800\,A^2\,a^{26}\,b^{42}\,d^7+28800\,A^2\,a^{24}\,b^{44}\,d^7+1600\,A^2\,a^{22}\,b^{46}\,d^7-4352\,A\,B\,a^{59}\,b^9\,d^7-60416\,A\,B\,a^{57}\,b^{11}\,d^7-397056\,A\,B\,a^{55}\,b^{13}\,d^7-1657344\,A\,B\,a^{53}\,b^{15}\,d^7-4988416\,A\,B\,a^{51}\,b^{17}\,d^7-11665920\,A\,B\,a^{49}\,b^{19}\,d^7-22224384\,A\,B\,a^{47}\,b^{21}\,d^7-35389952\,A\,B\,a^{45}\,b^{23}\,d^7-47443968\,A\,B\,a^{43}\,b^{25}\,d^7-53228032\,A\,B\,a^{41}\,b^{27}\,d^7-49347584\,A\,B\,a^{39}\,b^{29}\,d^7-37240320\,A\,B\,a^{37}\,b^{31}\,d^7-22503936\,A\,B\,a^{35}\,b^{33}\,d^7-10683904\,A\,B\,a^{33}\,b^{35}\,d^7-3887616\,A\,B\,a^{31}\,b^{37}\,d^7-1046016\,A\,B\,a^{29}\,b^{39}\,d^7-196352\,A\,B\,a^{27}\,b^{41}\,d^7-23040\,A\,B\,a^{25}\,b^{43}\,d^7-1280\,A\,B\,a^{23}\,b^{45}\,d^7+576\,B^2\,a^{60}\,b^8\,d^7+6144\,B^2\,a^{58}\,b^{10}\,d^7+28416\,B^2\,a^{56}\,b^{12}\,d^7+76288\,B^2\,a^{54}\,b^{14}\,d^7+154368\,B^2\,a^{52}\,b^{16}\,d^7+376320\,B^2\,a^{50}\,b^{18}\,d^7+1164800\,B^2\,a^{48}\,b^{20}\,d^7+3095040\,B^2\,a^{46}\,b^{22}\,d^7+6095232\,B^2\,a^{44}\,b^{24}\,d^7+8859136\,B^2\,a^{42}\,b^{26}\,d^7+9664512\,B^2\,a^{40}\,b^{28}\,d^7+8007168\,B^2\,a^{38}\,b^{30}\,d^7+5055232\,B^2\,a^{36}\,b^{32}\,d^7+2419200\,B^2\,a^{34}\,b^{34}\,d^7+864768\,B^2\,a^{32}\,b^{36}\,d^7+224768\,B^2\,a^{30}\,b^{38}\,d^7+40512\,B^2\,a^{28}\,b^{40}\,d^7+4608\,B^2\,a^{26}\,b^{42}\,d^7+256\,B^2\,a^{24}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}-800\,A^3\,a^{21}\,b^{45}\,d^6-10400\,A^3\,a^{23}\,b^{43}\,d^6-54400\,A^3\,a^{25}\,b^{41}\,d^6-121600\,A^3\,a^{27}\,b^{39}\,d^6+90304\,A^3\,a^{29}\,b^{37}\,d^6+1465856\,A^3\,a^{31}\,b^{35}\,d^6+5014464\,A^3\,a^{33}\,b^{33}\,d^6+10323456\,A^3\,a^{35}\,b^{31}\,d^6+14661504\,A^3\,a^{37}\,b^{29}\,d^6+14908608\,A^3\,a^{39}\,b^{27}\,d^6+10808512\,A^3\,a^{41}\,b^{25}\,d^6+5328128\,A^3\,a^{43}\,b^{23}\,d^6+1531712\,A^3\,a^{45}\,b^{21}\,d^6+87808\,A^3\,a^{47}\,b^{19}\,d^6-85696\,A^3\,a^{49}\,b^{17}\,d^6-6144\,A^3\,a^{51}\,b^{15}\,d^6+15264\,A^3\,a^{53}\,b^{13}\,d^6+5856\,A^3\,a^{55}\,b^{11}\,d^6+704\,A^3\,a^{57}\,b^9\,d^6+384\,B^3\,a^{24}\,b^{42}\,d^6+7296\,B^3\,a^{26}\,b^{40}\,d^6+59424\,B^3\,a^{28}\,b^{38}\,d^6+280992\,B^3\,a^{30}\,b^{36}\,d^6+866208\,B^3\,a^{32}\,b^{34}\,d^6+1825824\,B^3\,a^{34}\,b^{32}\,d^6+2629536\,B^3\,a^{36}\,b^{30}\,d^6+2374944\,B^3\,a^{38}\,b^{28}\,d^6+727584\,B^3\,a^{40}\,b^{26}\,d^6-1413984\,B^3\,a^{42}\,b^{24}\,d^6-2649504\,B^3\,a^{44}\,b^{22}\,d^6-2454816\,B^3\,a^{46}\,b^{20}\,d^6-1476384\,B^3\,a^{48}\,b^{18}\,d^6-597408\,B^3\,a^{50}\,b^{16}\,d^6-156192\,B^3\,a^{52}\,b^{14}\,d^6-22944\,B^3\,a^{54}\,b^{12}\,d^6-1056\,B^3\,a^{56}\,b^{10}\,d^6+96\,B^3\,a^{58}\,b^8\,d^6-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\,a^{47}\,b^{16}\,d^5-168896\,B^4\,a^{45}\,b^{18}\,d^5-416416\,B^4\,a^{43}\,b^{20}\,d^5-695552\,B^4\,a^{41}\,b^{22}\,d^5-837408\,B^4\,a^{39}\,b^{24}\,d^5-741312\,B^4\,a^{37}\,b^{26}\,d^5-480480\,B^4\,a^{35}\,b^{28}\,d^5-221312\,B^4\,a^{33}\,b^{30}\,d^5-66976\,B^4\,a^{31}\,b^{32}\,d^5-10304\,B^4\,a^{29}\,b^{34}\,d^5+544\,B^4\,a^{27}\,b^{36}\,d^5+512\,B^4\,a^{25}\,b^{38}\,d^5+64\,B^4\,a^{23}\,b^{40}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}+11040\,A^5\,a^{24}\,b^{37}\,d^4+70560\,A^5\,a^{26}\,b^{35}\,d^4+276640\,A^5\,a^{28}\,b^{33}\,d^4+742560\,A^5\,a^{30}\,b^{31}\,d^4+1441440\,A^5\,a^{32}\,b^{29}\,d^4+2082080\,A^5\,a^{34}\,b^{27}\,d^4+2265120\,A^5\,a^{36}\,b^{25}\,d^4+1853280\,A^5\,a^{38}\,b^{23}\,d^4+1121120\,A^5\,a^{40}\,b^{21}\,d^4+480480\,A^5\,a^{42}\,b^{19}\,d^4+131040\,A^5\,a^{44}\,b^{17}\,d^4+14560\,A^5\,a^{46}\,b^{15}\,d^4-3360\,A^5\,a^{48}\,b^{13}\,d^4-1440\,A^5\,a^{50}\,b^{11}\,d^4-160\,A^5\,a^{52}\,b^9\,d^4+64\,B^5\,a^{23}\,b^{38}\,d^4+896\,B^5\,a^{25}\,b^{36}\,d^4+5824\,B^5\,a^{27}\,b^{34}\,d^4+23296\,B^5\,a^{29}\,b^{32}\,d^4+64064\,B^5\,a^{31}\,b^{30}\,d^4+128128\,B^5\,a^{33}\,b^{28}\,d^4+192192\,B^5\,a^{35}\,b^{26}\,d^4+219648\,B^5\,a^{37}\,b^{24}\,d^4+192192\,B^5\,a^{39}\,b^{22}\,d^4+128128\,B^5\,a^{41}\,b^{20}\,d^4+64064\,B^5\,a^{43}\,b^{18}\,d^4+23296\,B^5\,a^{45}\,b^{16}\,d^4+5824\,B^5\,a^{47}\,b^{14}\,d^4+896\,B^5\,a^{49}\,b^{12}\,d^4+64\,B^5\,a^{51}\,b^{10}\,d^4-320\,A\,B^4\,a^{22}\,b^{39}\,d^4-4192\,A\,B^4\,a^{24}\,b^{37}\,d^4-25088\,A\,B^4\,a^{26}\,b^{35}\,d^4-90272\,A\,B^4\,a^{28}\,b^{33}\,d^4-215488\,A\,B^4\,a^{30}\,b^{31}\,d^4-352352\,A\,B^4\,a^{32}\,b^{29}\,d^4-384384\,A\,B^4\,a^{34}\,b^{27}\,d^4-233376\,A\,B^4\,a^{36}\,b^{25}\,d^4+27456\,A\,B^4\,a^{38}\,b^{23}\,d^4+224224\,A\,B^4\,a^{40}\,b^{21}\,d^4+256256\,A\,B^4\,a^{42}\,b^{19}\,d^4+171808\,A\,B^4\,a^{44}\,b^{17}\,d^4+75712\,A\,B^4\,a^{46}\,b^{15}\,d^4+21728\,A\,B^4\,a^{48}\,b^{13}\,d^4+3712\,A\,B^4\,a^{50}\,b^{11}\,d^4+288\,A\,B^4\,a^{52}\,b^9\,d^4+400\,A^4\,B\,a^{21}\,b^{40}\,d^4+4560\,A^4\,B\,a^{23}\,b^{38}\,d^4+21904\,A^4\,B\,a^{25}\,b^{36}\,d^4+51856\,A^4\,B\,a^{27}\,b^{34}\,d^4+27664\,A^4\,B\,a^{29}\,b^{32}\,d^4-216944\,A^4\,B\,a^{31}\,b^{30}\,d^4-816816\,A^4\,B\,a^{33}\,b^{28}\,d^4-1622192\,A^4\,B\,a^{35}\,b^{26}\,d^4-2175888\,A^4\,B\,a^{37}\,b^{24}\,d^4-2102672\,A^4\,B\,a^{39}\,b^{22}\,d^4-1489488\,A^4\,B\,a^{41}\,b^{20}\,d^4-767312\,A^4\,B\,a^{43}\,b^{18}\,d^4-278096\,A^4\,B\,a^{45}\,b^{16}\,d^4-65744\,A^4\,B\,a^{47}\,b^{14}\,d^4-8336\,A^4\,B\,a^{49}\,b^{12}\,d^4-144\,A^4\,B\,a^{51}\,b^{10}\,d^4+64\,A^4\,B\,a^{53}\,b^8\,d^4+400\,A^2\,B^3\,a^{21}\,b^{40}\,d^4+4624\,A^2\,B^3\,a^{23}\,b^{38}\,d^4+22800\,A^2\,B^3\,a^{25}\,b^{36}\,d^4+57680\,A^2\,B^3\,a^{27}\,b^{34}\,d^4+50960\,A^2\,B^3\,a^{29}\,b^{32}\,d^4-152880\,A^2\,B^3\,a^{31}\,b^{30}\,d^4-688688\,A^2\,B^3\,a^{33}\,b^{28}\,d^4-1430000\,A^2\,B^3\,a^{35}\,b^{26}\,d^4-1956240\,A^2\,B^3\,a^{37}\,b^{24}\,d^4-1910480\,A^2\,B^3\,a^{39}\,b^{22}\,d^4-1361360\,A^2\,B^3\,a^{41}\,b^{20}\,d^4-703248\,A^2\,B^3\,a^{43}\,b^{18}\,d^4-254800\,A^2\,B^3\,a^{45}\,b^{16}\,d^4-59920\,A^2\,B^3\,a^{47}\,b^{14}\,d^4-7440\,A^2\,B^3\,a^{49}\,b^{12}\,d^4-80\,A^2\,B^3\,a^{51}\,b^{10}\,d^4+64\,A^2\,B^3\,a^{53}\,b^8\,d^4+480\,A^3\,B^2\,a^{22}\,b^{39}\,d^4+6848\,A^3\,B^2\,a^{24}\,b^{37}\,d^4+45472\,A^3\,B^2\,a^{26}\,b^{35}\,d^4+186368\,A^3\,B^2\,a^{28}\,b^{33}\,d^4+527072\,A^3\,B^2\,a^{30}\,b^{31}\,d^4+1089088\,A^3\,B^2\,a^{32}\,b^{29}\,d^4+1697696\,A^3\,B^2\,a^{34}\,b^{27}\,d^4+2031744\,A^3\,B^2\,a^{36}\,b^{25}\,d^4+1880736\,A^3\,B^2\,a^{38}\,b^{23}\,d^4+1345344\,A^3\,B^2\,a^{40}\,b^{21}\,d^4+736736\,A^3\,B^2\,a^{42}\,b^{19}\,d^4+302848\,A^3\,B^2\,a^{44}\,b^{17}\,d^4+90272\,A^3\,B^2\,a^{46}\,b^{15}\,d^4+18368\,A^3\,B^2\,a^{48}\,b^{13}\,d^4+2272\,A^3\,B^2\,a^{50}\,b^{11}\,d^4+128\,A^3\,B^2\,a^{52}\,b^9\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,2{}\mathrm{i}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{55}\,b^8\,d^5+48\,A^4\,a^{53}\,b^{10}\,d^5-288\,A^4\,a^{51}\,b^{12}\,d^5+8448\,A^4\,a^{49}\,b^{14}\,d^5+99232\,A^4\,a^{47}\,b^{16}\,d^5+500864\,A^4\,a^{45}\,b^{18}\,d^5+1552096\,A^4\,a^{43}\,b^{20}\,d^5+3313024\,A^4\,a^{41}\,b^{22}\,d^5+5129696\,A^4\,a^{39}\,b^{24}\,d^5+5898464\,A^4\,a^{37}\,b^{26}\,d^5+5065632\,A^4\,a^{35}\,b^{28}\,d^5+3214848\,A^4\,a^{33}\,b^{30}\,d^5+1458912\,A^4\,a^{31}\,b^{32}\,d^5+437248\,A^4\,a^{29}\,b^{34}\,d^5+67232\,A^4\,a^{27}\,b^{36}\,d^5-3200\,A^4\,a^{25}\,b^{38}\,d^5-3200\,A^4\,a^{23}\,b^{40}\,d^5-400\,A^4\,a^{21}\,b^{42}\,d^5+320\,A^3\,B\,a^{54}\,b^9\,d^5-640\,A^3\,B\,a^{52}\,b^{11}\,d^5-39040\,A^3\,B\,a^{50}\,b^{13}\,d^5-300160\,A^3\,B\,a^{48}\,b^{15}\,d^5-1223040\,A^3\,B\,a^{46}\,b^{17}\,d^5-3203200\,A^3\,B\,a^{44}\,b^{19}\,d^5-5765760\,A^3\,B\,a^{42}\,b^{21}\,d^5-7230080\,A^3\,B\,a^{40}\,b^{23}\,d^5-6040320\,A^3\,B\,a^{38}\,b^{25}\,d^5-2654080\,A^3\,B\,a^{36}\,b^{27}\,d^5+640640\,A^3\,B\,a^{34}\,b^{29}\,d^5+2038400\,A^3\,B\,a^{32}\,b^{31}\,d^5+1688960\,A^3\,B\,a^{30}\,b^{33}\,d^5+819840\,A^3\,B\,a^{28}\,b^{35}\,d^5+248960\,A^3\,B\,a^{26}\,b^{37}\,d^5+44160\,A^3\,B\,a^{24}\,b^{39}\,d^5+3520\,A^3\,B\,a^{22}\,b^{41}\,d^5+3344\,A^2\,B^2\,a^{53}\,b^{10}\,d^5+41792\,A^2\,B^2\,a^{51}\,b^{12}\,d^5+234368\,A^2\,B^2\,a^{49}\,b^{14}\,d^5+765632\,A^2\,B^2\,a^{47}\,b^{16}\,d^5+1555008\,A^2\,B^2\,a^{45}\,b^{18}\,d^5+1811264\,A^2\,B^2\,a^{43}\,b^{20}\,d^5+384384\,A^2\,B^2\,a^{41}\,b^{22}\,d^5-2809664\,A^2\,B^2\,a^{39}\,b^{24}\,d^5-5999136\,A^2\,B^2\,a^{37}\,b^{26}\,d^5-7019584\,A^2\,B^2\,a^{35}\,b^{28}\,d^5-5509504\,A^2\,B^2\,a^{33}\,b^{30}\,d^5-3011008\,A^2\,B^2\,a^{31}\,b^{32}\,d^5-1124032\,A^2\,B^2\,a^{29}\,b^{34}\,d^5-264768\,A^2\,B^2\,a^{27}\,b^{36}\,d^5-30592\,A^2\,B^2\,a^{25}\,b^{38}\,d^5+576\,A^2\,B^2\,a^{23}\,b^{40}\,d^5+400\,A^2\,B^2\,a^{21}\,b^{42}\,d^5-832\,A\,B^3\,a^{54}\,b^9\,d^5-9216\,A\,B^3\,a^{52}\,b^{11}\,d^5-41984\,A\,B^3\,a^{50}\,b^{13}\,d^5-86016\,A\,B^3\,a^{48}\,b^{15}\,d^5+23296\,A\,B^3\,a^{46}\,b^{17}\,d^5+652288\,A\,B^3\,a^{44}\,b^{19}\,d^5+2050048\,A\,B^3\,a^{42}\,b^{21}\,d^5+3807232\,A\,B^3\,a^{40}\,b^{23}\,d^5+4887168\,A\,B^3\,a^{38}\,b^{25}\,d^5+4539392\,A\,B^3\,a^{36}\,b^{27}\,d^5+3075072\,A\,B^3\,a^{34}\,b^{29}\,d^5+1490944\,A\,B^3\,a^{32}\,b^{31}\,d^5+489216\,A\,B^3\,a^{30}\,b^{33}\,d^5+93184\,A\,B^3\,a^{28}\,b^{35}\,d^5+4096\,A\,B^3\,a^{26}\,b^{37}\,d^5-2048\,A\,B^3\,a^{24}\,b^{39}\,d^5-320\,A\,B^3\,a^{22}\,b^{41}\,d^5+96\,B^4\,a^{55}\,b^8\,d^5+960\,B^4\,a^{53}\,b^{10}\,d^5+3424\,B^4\,a^{51}\,b^{12}\,d^5+896\,B^4\,a^{49}\,b^{14}\,d^5-37856\,B^4\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0}\,d^8-50665472\,B\,a^{43}\,b^{28}\,d^8-50775296\,B\,a^{45}\,b^{26}\,d^8-41443584\,B\,a^{47}\,b^{24}\,d^8-27409408\,B\,a^{49}\,b^{22}\,d^8-14543872\,B\,a^{51}\,b^{20}\,d^8-6093312\,B\,a^{53}\,b^{18}\,d^8-1966592\,B\,a^{55}\,b^{16}\,d^8-470528\,B\,a^{57}\,b^{14}\,d^8-78336\,B\,a^{59}\,b^{12}\,d^8-8064\,B\,a^{61}\,b^{10}\,d^8-384\,B\,a^{63}\,b^8\,d^8+\frac{\left(5\,A\,b-2\,B\,a\right)\,\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\,d\,\sqrt{a^7}}\right)}{2\,d\,\sqrt{a^7}}\right)}{2\,d\,\sqrt{a^7}}-2048\,A\,B^2\,a^{23}\,b^{43}\,d^6-35456\,A\,B^2\,a^{25}\,b^{41}\,d^6-269824\,A\,B^2\,a^{27}\,b^{39}\,d^6-1203648\,A\,B^2\,a^{29}\,b^{37}\,d^6-3500672\,A\,B^2\,a^{31}\,b^{35}\,d^6-6889792\,A\,B^2\,a^{33}\,b^{33}\,d^6-8968960\,A\,B^2\,a^{35}\,b^{31}\,d^6-6452160\,A\,B^2\,a^{37}\,b^{29}\,d^6+933504\,A\,B^2\,a^{39}\,b^{27}\,d^6+8721856\,A\,B^2\,a^{41}\,b^{25}\,d^6+11714560\,A\,B^2\,a^{43}\,b^{23}\,d^6+9184448\,A\,B^2\,a^{45}\,b^{21}\,d^6+4647552\,A\,B^2\,a^{47}\,b^{19}\,d^6+1433152\,A\,B^2\,a^{49}\,b^{17}\,d^6+182528\,A\,B^2\,a^{51}\,b^{15}\,d^6-37696\,A\,B^2\,a^{53}\,b^{13}\,d^6-18048\,A\,B^2\,a^{55}\,b^{11}\,d^6-2112\,A\,B^2\,a^{57}\,b^9\,d^6+3040\,A^2\,B\,a^{22}\,b^{44}\,d^6+47200\,A^2\,B\,a^{24}\,b^{42}\,d^6+325120\,A^2\,B\,a^{26}\,b^{40}\,d^6+1304352\,A^2\,B\,a^{28}\,b^{38}\,d^6+3319840\,A^2\,B\,a^{30}\,b^{36}\,d^6+5298720\,A^2\,B\,a^{32}\,b^{34}\,d^6+4178720\,A^2\,B\,a^{34}\,b^{32}\,d^6-2452320\,A^2\,B\,a^{36}\,b^{30}\,d^6-12167584\,A^2\,B\,a^{38}\,b^{28}\,d^6-18281120\,A^2\,B\,a^{40}\,b^{26}\,d^6-16496480\,A^2\,B\,a^{42}\,b^{24}\,d^6-9395360\,A^2\,B\,a^{44}\,b^{22}\,d^6-2839200\,A^2\,B\,a^{46}\,b^{20}\,d^6+167776\,A^2\,B\,a^{48}\,b^{18}\,d^6+563040\,A^2\,B\,a^{50}\,b^{16}\,d^6+239840\,A^2\,B\,a^{52}\,b^{14}\,d^6+45120\,A^2\,B\,a^{54}\,b^{12}\,d^6+2240\,A^2\,B\,a^{56}\,b^{10}\,d^6-288\,A^2\,B\,a^{58}\,b^8\,d^6\right)}{2\,d\,\sqrt{a^7}}\right)\,\left(5\,A\,b-2\,B\,a\right)}{2\,d\,\sqrt{a^7}}-320\,A\,B^4\,a^{22}\,b^{39}\,d^4-4192\,A\,B^4\,a^{24}\,b^{37}\,d^4-25088\,A\,B^4\,a^{26}\,b^{35}\,d^4-90272\,A\,B^4\,a^{28}\,b^{33}\,d^4-215488\,A\,B^4\,a^{30}\,b^{31}\,d^4-352352\,A\,B^4\,a^{32}\,b^{29}\,d^4-384384\,A\,B^4\,a^{34}\,b^{27}\,d^4-233376\,A\,B^4\,a^{36}\,b^{25}\,d^4+27456\,A\,B^4\,a^{38}\,b^{23}\,d^4+224224\,A\,B^4\,a^{40}\,b^{21}\,d^4+256256\,A\,B^4\,a^{42}\,b^{19}\,d^4+171808\,A\,B^4\,a^{44}\,b^{17}\,d^4+75712\,A\,B^4\,a^{46}\,b^{15}\,d^4+21728\,A\,B^4\,a^{48}\,b^{13}\,d^4+3712\,A\,B^4\,a^{50}\,b^{11}\,d^4+288\,A\,B^4\,a^{52}\,b^9\,d^4+400\,A^4\,B\,a^{21}\,b^{40}\,d^4+4560\,A^4\,B\,a^{23}\,b^{38}\,d^4+21904\,A^4\,B\,a^{25}\,b^{36}\,d^4+51856\,A^4\,B\,a^{27}\,b^{34}\,d^4+27664\,A^4\,B\,a^{29}\,b^{32}\,d^4-216944\,A^4\,B\,a^{31}\,b^{30}\,d^4-816816\,A^4\,B\,a^{33}\,b^{28}\,d^4-1622192\,A^4\,B\,a^{35}\,b^{26}\,d^4-2175888\,A^4\,B\,a^{37}\,b^{24}\,d^4-2102672\,A^4\,B\,a^{39}\,b^{22}\,d^4-1489488\,A^4\,B\,a^{41}\,b^{20}\,d^4-767312\,A^4\,B\,a^{43}\,b^{18}\,d^4-278096\,A^4\,B\,a^{45}\,b^{16}\,d^4-65744\,A^4\,B\,a^{47}\,b^{14}\,d^4-8336\,A^4\,B\,a^{49}\,b^{12}\,d^4-144\,A^4\,B\,a^{51}\,b^{10}\,d^4+64\,A^4\,B\,a^{53}\,b^8\,d^4+400\,A^2\,B^3\,a^{21}\,b^{40}\,d^4+4624\,A^2\,B^3\,a^{23}\,b^{38}\,d^4+22800\,A^2\,B^3\,a^{25}\,b^{36}\,d^4+57680\,A^2\,B^3\,a^{27}\,b^{34}\,d^4+50960\,A^2\,B^3\,a^{29}\,b^{32}\,d^4-152880\,A^2\,B^3\,a^{31}\,b^{30}\,d^4-688688\,A^2\,B^3\,a^{33}\,b^{28}\,d^4-1430000\,A^2\,B^3\,a^{35}\,b^{26}\,d^4-1956240\,A^2\,B^3\,a^{37}\,b^{24}\,d^4-1910480\,A^2\,B^3\,a^{39}\,b^{22}\,d^4-1361360\,A^2\,B^3\,a^{41}\,b^{20}\,d^4-703248\,A^2\,B^3\,a^{43}\,b^{18}\,d^4-254800\,A^2\,B^3\,a^{45}\,b^{16}\,d^4-59920\,A^2\,B^3\,a^{47}\,b^{14}\,d^4-7440\,A^2\,B^3\,a^{49}\,b^{12}\,d^4-80\,A^2\,B^3\,a^{51}\,b^{10}\,d^4+64\,A^2\,B^3\,a^{53}\,b^8\,d^4+480\,A^3\,B^2\,a^{22}\,b^{39}\,d^4+6848\,A^3\,B^2\,a^{24}\,b^{37}\,d^4+45472\,A^3\,B^2\,a^{26}\,b^{35}\,d^4+186368\,A^3\,B^2\,a^{28}\,b^{33}\,d^4+527072\,A^3\,B^2\,a^{30}\,b^{31}\,d^4+1089088\,A^3\,B^2\,a^{32}\,b^{29}\,d^4+1697696\,A^3\,B^2\,a^{34}\,b^{27}\,d^4+2031744\,A^3\,B^2\,a^{36}\,b^{25}\,d^4+1880736\,A^3\,B^2\,a^{38}\,b^{23}\,d^4+1345344\,A^3\,B^2\,a^{40}\,b^{21}\,d^4+736736\,A^3\,B^2\,a^{42}\,b^{19}\,d^4+302848\,A^3\,B^2\,a^{44}\,b^{17}\,d^4+90272\,A^3\,B^2\,a^{46}\,b^{15}\,d^4+18368\,A^3\,B^2\,a^{48}\,b^{13}\,d^4+2272\,A^3\,B^2\,a^{50}\,b^{11}\,d^4+128\,A^3\,B^2\,a^{52}\,b^9\,d^4}\right)\,\left(5\,A\,b-2\,B\,a\right)\,1{}\mathrm{i}}{d\,\sqrt{a^7}}","Not used",1,"((2*(a + b*tan(c + d*x))*(5*A*b^5 + 11*A*a^2*b^3 - 8*B*a^3*b^2 - 2*B*a*b^4))/(3*(a*b^2 + a^3)^2) + (2*(A*b^3 - B*a*b^2))/(3*a*(a^2 + b^2)) - ((a + b*tan(c + d*x))^2*(5*A*b^5 + 10*A*a^2*b^3 - 6*B*a^3*b^2 + A*a^4*b - 2*B*a*b^4))/(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)) + atan(((((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*((((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^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) + 1280*A*a^24*b^47*d^8 + 24320*A*a^26*b^45*d^8 + 219008*A*a^28*b^43*d^8 + 1241984*A*a^30*b^41*d^8 + 4970496*A*a^32*b^39*d^8 + 14909440*A*a^34*b^37*d^8 + 34746880*A*a^36*b^35*d^8 + 64356864*A*a^38*b^33*d^8 + 96092672*A*a^40*b^31*d^8 + 116633088*A*a^42*b^29*d^8 + 115498240*A*a^44*b^27*d^8 + 93267200*A*a^46*b^25*d^8 + 61128704*A*a^48*b^23*d^8 + 32212992*A*a^50*b^21*d^8 + 13439488*A*a^52*b^19*d^8 + 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34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 + 90304*A^3*a^29*b^37*d^6 + 1465856*A^3*a^31*b^35*d^6 + 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6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 45120*A^2*B*a^54*b^12*d^6 + 2240*A^2*B*a^56*b^10*d^6 - 288*A^2*B*a^58*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(67232*A^4*a^27*b^36*d^5 - 3200*A^4*a^23*b^40*d^5 - 3200*A^4*a^25*b^38*d^5 - 400*A^4*a^21*b^42*d^5 + 437248*A^4*a^29*b^34*d^5 + 1458912*A^4*a^31*b^32*d^5 + 3214848*A^4*a^33*b^30*d^5 + 5065632*A^4*a^35*b^28*d^5 + 5898464*A^4*a^37*b^26*d^5 + 5129696*A^4*a^39*b^24*d^5 + 3313024*A^4*a^41*b^22*d^5 + 1552096*A^4*a^43*b^20*d^5 + 500864*A^4*a^45*b^18*d^5 + 99232*A^4*a^47*b^16*d^5 + 8448*A^4*a^49*b^14*d^5 - 288*A^4*a^51*b^12*d^5 + 48*A^4*a^53*b^10*d^5 + 32*A^4*a^55*b^8*d^5 + 64*B^4*a^23*b^40*d^5 + 512*B^4*a^25*b^38*d^5 + 544*B^4*a^27*b^36*d^5 - 10304*B^4*a^29*b^34*d^5 - 66976*B^4*a^31*b^32*d^5 - 221312*B^4*a^33*b^30*d^5 - 480480*B^4*a^35*b^28*d^5 - 741312*B^4*a^37*b^26*d^5 - 837408*B^4*a^39*b^24*d^5 - 695552*B^4*a^41*b^22*d^5 - 416416*B^4*a^43*b^20*d^5 - 168896*B^4*a^45*b^18*d^5 - 37856*B^4*a^47*b^16*d^5 + 896*B^4*a^49*b^14*d^5 + 3424*B^4*a^51*b^12*d^5 + 960*B^4*a^53*b^10*d^5 + 96*B^4*a^55*b^8*d^5 - 320*A*B^3*a^22*b^41*d^5 - 2048*A*B^3*a^24*b^39*d^5 + 4096*A*B^3*a^26*b^37*d^5 + 93184*A*B^3*a^28*b^35*d^5 + 489216*A*B^3*a^30*b^33*d^5 + 1490944*A*B^3*a^32*b^31*d^5 + 3075072*A*B^3*a^34*b^29*d^5 + 4539392*A*B^3*a^36*b^27*d^5 + 4887168*A*B^3*a^38*b^25*d^5 + 3807232*A*B^3*a^40*b^23*d^5 + 2050048*A*B^3*a^42*b^21*d^5 + 652288*A*B^3*a^44*b^19*d^5 + 23296*A*B^3*a^46*b^17*d^5 - 86016*A*B^3*a^48*b^15*d^5 - 41984*A*B^3*a^50*b^13*d^5 - 9216*A*B^3*a^52*b^11*d^5 - 832*A*B^3*a^54*b^9*d^5 + 3520*A^3*B*a^22*b^41*d^5 + 44160*A^3*B*a^24*b^39*d^5 + 248960*A^3*B*a^26*b^37*d^5 + 819840*A^3*B*a^28*b^35*d^5 + 1688960*A^3*B*a^30*b^33*d^5 + 2038400*A^3*B*a^32*b^31*d^5 + 640640*A^3*B*a^34*b^29*d^5 - 2654080*A^3*B*a^36*b^27*d^5 - 6040320*A^3*B*a^38*b^25*d^5 - 7230080*A^3*B*a^40*b^23*d^5 - 5765760*A^3*B*a^42*b^21*d^5 - 3203200*A^3*B*a^44*b^19*d^5 - 1223040*A^3*B*a^46*b^17*d^5 - 300160*A^3*B*a^48*b^15*d^5 - 39040*A^3*B*a^50*b^13*d^5 - 640*A^3*B*a^52*b^11*d^5 + 320*A^3*B*a^54*b^9*d^5 + 400*A^2*B^2*a^21*b^42*d^5 + 576*A^2*B^2*a^23*b^40*d^5 - 30592*A^2*B^2*a^25*b^38*d^5 - 264768*A^2*B^2*a^27*b^36*d^5 - 1124032*A^2*B^2*a^29*b^34*d^5 - 3011008*A^2*B^2*a^31*b^32*d^5 - 5509504*A^2*B^2*a^33*b^30*d^5 - 7019584*A^2*B^2*a^35*b^28*d^5 - 5999136*A^2*B^2*a^37*b^26*d^5 - 2809664*A^2*B^2*a^39*b^24*d^5 + 384384*A^2*B^2*a^41*b^22*d^5 + 1811264*A^2*B^2*a^43*b^20*d^5 + 1555008*A^2*B^2*a^45*b^18*d^5 + 765632*A^2*B^2*a^47*b^16*d^5 + 234368*A^2*B^2*a^49*b^14*d^5 + 41792*A^2*B^2*a^51*b^12*d^5 + 3344*A^2*B^2*a^53*b^10*d^5))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*1i - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^3*a^29*b^37*d^6 - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^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 + 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2028544*B*a^33*b^38*d^8 + 6153216*B*a^35*b^36*d^8 + 14518784*B*a^37*b^34*d^8 + 27243008*B*a^39*b^32*d^8 + 41213952*B*a^41*b^30*d^8 + 50665472*B*a^43*b^28*d^8 + 50775296*B*a^45*b^26*d^8 + 41443584*B*a^47*b^24*d^8 + 27409408*B*a^49*b^22*d^8 + 14543872*B*a^51*b^20*d^8 + 6093312*B*a^53*b^18*d^8 + 1966592*B*a^55*b^16*d^8 + 470528*B*a^57*b^14*d^8 + 78336*B*a^59*b^12*d^8 + 8064*B*a^61*b^10*d^8 + 384*B*a^63*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(1600*A^2*a^22*b^46*d^7 + 28800*A^2*a^24*b^44*d^7 + 244800*A^2*a^26*b^42*d^7 + 1304256*A^2*a^28*b^40*d^7 + 4880128*A^2*a^30*b^38*d^7 + 13627392*A^2*a^32*b^36*d^7 + 29476608*A^2*a^34*b^34*d^7 + 50615552*A^2*a^36*b^32*d^7 + 70152576*A^2*a^38*b^30*d^7 + 79329536*A^2*a^40*b^28*d^7 + 73600384*A^2*a^42*b^26*d^7 + 56025216*A^2*a^44*b^24*d^7 + 34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) + 1465856*A^3*a^31*b^35*d^6 + 5014464*A^3*a^33*b^33*d^6 + 10323456*A^3*a^35*b^31*d^6 + 14661504*A^3*a^37*b^29*d^6 + 14908608*A^3*a^39*b^27*d^6 + 10808512*A^3*a^41*b^25*d^6 + 5328128*A^3*a^43*b^23*d^6 + 1531712*A^3*a^45*b^21*d^6 + 87808*A^3*a^47*b^19*d^6 - 85696*A^3*a^49*b^17*d^6 - 6144*A^3*a^51*b^15*d^6 + 15264*A^3*a^53*b^13*d^6 + 5856*A^3*a^55*b^11*d^6 + 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41792*A^2*B^2*a^51*b^12*d^5 + 3344*A^2*B^2*a^53*b^10*d^5))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*1i)/(800*A^5*a^22*b^39*d^4 - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^3*a^29*b^37*d^6 - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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^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 + 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160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) - (((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*((((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 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17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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) - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 + 90304*A^3*a^29*b^37*d^6 + 1465856*A^3*a^31*b^35*d^6 + 5014464*A^3*a^33*b^33*d^6 + 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8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 45120*A^2*B*a^54*b^12*d^6 + 2240*A^2*B*a^56*b^10*d^6 - 288*A^2*B*a^58*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(67232*A^4*a^27*b^36*d^5 - 3200*A^4*a^23*b^40*d^5 - 3200*A^4*a^25*b^38*d^5 - 400*A^4*a^21*b^42*d^5 + 437248*A^4*a^29*b^34*d^5 + 1458912*A^4*a^31*b^32*d^5 + 3214848*A^4*a^33*b^30*d^5 + 5065632*A^4*a^35*b^28*d^5 + 5898464*A^4*a^37*b^26*d^5 + 5129696*A^4*a^39*b^24*d^5 + 3313024*A^4*a^41*b^22*d^5 + 1552096*A^4*a^43*b^20*d^5 + 500864*A^4*a^45*b^18*d^5 + 99232*A^4*a^47*b^16*d^5 + 8448*A^4*a^49*b^14*d^5 - 288*A^4*a^51*b^12*d^5 + 48*A^4*a^53*b^10*d^5 + 32*A^4*a^55*b^8*d^5 + 64*B^4*a^23*b^40*d^5 + 512*B^4*a^25*b^38*d^5 + 544*B^4*a^27*b^36*d^5 - 10304*B^4*a^29*b^34*d^5 - 66976*B^4*a^31*b^32*d^5 - 221312*B^4*a^33*b^30*d^5 - 480480*B^4*a^35*b^28*d^5 - 741312*B^4*a^37*b^26*d^5 - 837408*B^4*a^39*b^24*d^5 - 695552*B^4*a^41*b^22*d^5 - 416416*B^4*a^43*b^20*d^5 - 168896*B^4*a^45*b^18*d^5 - 37856*B^4*a^47*b^16*d^5 + 896*B^4*a^49*b^14*d^5 + 3424*B^4*a^51*b^12*d^5 + 960*B^4*a^53*b^10*d^5 + 96*B^4*a^55*b^8*d^5 - 320*A*B^3*a^22*b^41*d^5 - 2048*A*B^3*a^24*b^39*d^5 + 4096*A*B^3*a^26*b^37*d^5 + 93184*A*B^3*a^28*b^35*d^5 + 489216*A*B^3*a^30*b^33*d^5 + 1490944*A*B^3*a^32*b^31*d^5 + 3075072*A*B^3*a^34*b^29*d^5 + 4539392*A*B^3*a^36*b^27*d^5 + 4887168*A*B^3*a^38*b^25*d^5 + 3807232*A*B^3*a^40*b^23*d^5 + 2050048*A*B^3*a^42*b^21*d^5 + 652288*A*B^3*a^44*b^19*d^5 + 23296*A*B^3*a^46*b^17*d^5 - 86016*A*B^3*a^48*b^15*d^5 - 41984*A*B^3*a^50*b^13*d^5 - 9216*A*B^3*a^52*b^11*d^5 - 832*A*B^3*a^54*b^9*d^5 + 3520*A^3*B*a^22*b^41*d^5 + 44160*A^3*B*a^24*b^39*d^5 + 248960*A^3*B*a^26*b^37*d^5 + 819840*A^3*B*a^28*b^35*d^5 + 1688960*A^3*B*a^30*b^33*d^5 + 2038400*A^3*B*a^32*b^31*d^5 + 640640*A^3*B*a^34*b^29*d^5 - 2654080*A^3*B*a^36*b^27*d^5 - 6040320*A^3*B*a^38*b^25*d^5 - 7230080*A^3*B*a^40*b^23*d^5 - 5765760*A^3*B*a^42*b^21*d^5 - 3203200*A^3*B*a^44*b^19*d^5 - 1223040*A^3*B*a^46*b^17*d^5 - 300160*A^3*B*a^48*b^15*d^5 - 39040*A^3*B*a^50*b^13*d^5 - 640*A^3*B*a^52*b^11*d^5 + 320*A^3*B*a^54*b^9*d^5 + 400*A^2*B^2*a^21*b^42*d^5 + 576*A^2*B^2*a^23*b^40*d^5 - 30592*A^2*B^2*a^25*b^38*d^5 - 264768*A^2*B^2*a^27*b^36*d^5 - 1124032*A^2*B^2*a^29*b^34*d^5 - 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70560*A^5*a^26*b^35*d^4 + 276640*A^5*a^28*b^33*d^4 + 742560*A^5*a^30*b^31*d^4 + 1441440*A^5*a^32*b^29*d^4 + 2082080*A^5*a^34*b^27*d^4 + 2265120*A^5*a^36*b^25*d^4 + 1853280*A^5*a^38*b^23*d^4 + 1121120*A^5*a^40*b^21*d^4 + 480480*A^5*a^42*b^19*d^4 + 131040*A^5*a^44*b^17*d^4 + 14560*A^5*a^46*b^15*d^4 - 3360*A^5*a^48*b^13*d^4 - 1440*A^5*a^50*b^11*d^4 - 160*A^5*a^52*b^9*d^4 + 64*B^5*a^23*b^38*d^4 + 896*B^5*a^25*b^36*d^4 + 5824*B^5*a^27*b^34*d^4 + 23296*B^5*a^29*b^32*d^4 + 64064*B^5*a^31*b^30*d^4 + 128128*B^5*a^33*b^28*d^4 + 192192*B^5*a^35*b^26*d^4 + 219648*B^5*a^37*b^24*d^4 + 192192*B^5*a^39*b^22*d^4 + 128128*B^5*a^41*b^20*d^4 + 64064*B^5*a^43*b^18*d^4 + 23296*B^5*a^45*b^16*d^4 + 5824*B^5*a^47*b^14*d^4 + 896*B^5*a^49*b^12*d^4 + 64*B^5*a^51*b^10*d^4 - 320*A*B^4*a^22*b^39*d^4 - 4192*A*B^4*a^24*b^37*d^4 - 25088*A*B^4*a^26*b^35*d^4 - 90272*A*B^4*a^28*b^33*d^4 - 215488*A*B^4*a^30*b^31*d^4 - 352352*A*B^4*a^32*b^29*d^4 - 384384*A*B^4*a^34*b^27*d^4 - 233376*A*B^4*a^36*b^25*d^4 + 27456*A*B^4*a^38*b^23*d^4 + 224224*A*B^4*a^40*b^21*d^4 + 256256*A*B^4*a^42*b^19*d^4 + 171808*A*B^4*a^44*b^17*d^4 + 75712*A*B^4*a^46*b^15*d^4 + 21728*A*B^4*a^48*b^13*d^4 + 3712*A*B^4*a^50*b^11*d^4 + 288*A*B^4*a^52*b^9*d^4 + 400*A^4*B*a^21*b^40*d^4 + 4560*A^4*B*a^23*b^38*d^4 + 21904*A^4*B*a^25*b^36*d^4 + 51856*A^4*B*a^27*b^34*d^4 + 27664*A^4*B*a^29*b^32*d^4 - 216944*A^4*B*a^31*b^30*d^4 - 816816*A^4*B*a^33*b^28*d^4 - 1622192*A^4*B*a^35*b^26*d^4 - 2175888*A^4*B*a^37*b^24*d^4 - 2102672*A^4*B*a^39*b^22*d^4 - 1489488*A^4*B*a^41*b^20*d^4 - 767312*A^4*B*a^43*b^18*d^4 - 278096*A^4*B*a^45*b^16*d^4 - 65744*A^4*B*a^47*b^14*d^4 - 8336*A^4*B*a^49*b^12*d^4 - 144*A^4*B*a^51*b^10*d^4 + 64*A^4*B*a^53*b^8*d^4 + 400*A^2*B^3*a^21*b^40*d^4 + 4624*A^2*B^3*a^23*b^38*d^4 + 22800*A^2*B^3*a^25*b^36*d^4 + 57680*A^2*B^3*a^27*b^34*d^4 + 50960*A^2*B^3*a^29*b^32*d^4 - 152880*A^2*B^3*a^31*b^30*d^4 - 688688*A^2*B^3*a^33*b^28*d^4 - 1430000*A^2*B^3*a^35*b^26*d^4 - 1956240*A^2*B^3*a^37*b^24*d^4 - 1910480*A^2*B^3*a^39*b^22*d^4 - 1361360*A^2*B^3*a^41*b^20*d^4 - 703248*A^2*B^3*a^43*b^18*d^4 - 254800*A^2*B^3*a^45*b^16*d^4 - 59920*A^2*B^3*a^47*b^14*d^4 - 7440*A^2*B^3*a^49*b^12*d^4 - 80*A^2*B^3*a^51*b^10*d^4 + 64*A^2*B^3*a^53*b^8*d^4 + 480*A^3*B^2*a^22*b^39*d^4 + 6848*A^3*B^2*a^24*b^37*d^4 + 45472*A^3*B^2*a^26*b^35*d^4 + 186368*A^3*B^2*a^28*b^33*d^4 + 527072*A^3*B^2*a^30*b^31*d^4 + 1089088*A^3*B^2*a^32*b^29*d^4 + 1697696*A^3*B^2*a^34*b^27*d^4 + 2031744*A^3*B^2*a^36*b^25*d^4 + 1880736*A^3*B^2*a^38*b^23*d^4 + 1345344*A^3*B^2*a^40*b^21*d^4 + 736736*A^3*B^2*a^42*b^19*d^4 + 302848*A^3*B^2*a^44*b^17*d^4 + 90272*A^3*B^2*a^46*b^15*d^4 + 18368*A^3*B^2*a^48*b^13*d^4 + 2272*A^3*B^2*a^50*b^11*d^4 + 128*A^3*B^2*a^52*b^9*d^4))*((((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*2i + atan((((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^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) + 1280*A*a^24*b^47*d^8 + 24320*A*a^26*b^45*d^8 + 219008*A*a^28*b^43*d^8 + 1241984*A*a^30*b^41*d^8 + 4970496*A*a^32*b^39*d^8 + 14909440*A*a^34*b^37*d^8 + 34746880*A*a^36*b^35*d^8 + 64356864*A*a^38*b^33*d^8 + 96092672*A*a^40*b^31*d^8 + 116633088*A*a^42*b^29*d^8 + 115498240*A*a^44*b^27*d^8 + 93267200*A*a^46*b^25*d^8 + 61128704*A*a^48*b^23*d^8 + 32212992*A*a^50*b^21*d^8 + 13439488*A*a^52*b^19*d^8 + 4334080*A*a^54*b^17*d^8 + 1040640*A*a^56*b^15*d^8 + 174848*A*a^58*b^13*d^8 + 18304*A*a^60*b^11*d^8 + 896*A*a^62*b^9*d^8 - 512*B*a^25*b^46*d^8 - 9728*B*a^27*b^44*d^8 - 87936*B*a^29*b^42*d^8 - 502144*B*a^31*b^40*d^8 - 2028544*B*a^33*b^38*d^8 - 6153216*B*a^35*b^36*d^8 - 14518784*B*a^37*b^34*d^8 - 27243008*B*a^39*b^32*d^8 - 41213952*B*a^41*b^30*d^8 - 50665472*B*a^43*b^28*d^8 - 50775296*B*a^45*b^26*d^8 - 41443584*B*a^47*b^24*d^8 - 27409408*B*a^49*b^22*d^8 - 14543872*B*a^51*b^20*d^8 - 6093312*B*a^53*b^18*d^8 - 1966592*B*a^55*b^16*d^8 - 470528*B*a^57*b^14*d^8 - 78336*B*a^59*b^12*d^8 - 8064*B*a^61*b^10*d^8 - 384*B*a^63*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(1600*A^2*a^22*b^46*d^7 + 28800*A^2*a^24*b^44*d^7 + 244800*A^2*a^26*b^42*d^7 + 1304256*A^2*a^28*b^40*d^7 + 4880128*A^2*a^30*b^38*d^7 + 13627392*A^2*a^32*b^36*d^7 + 29476608*A^2*a^34*b^34*d^7 + 50615552*A^2*a^36*b^32*d^7 + 70152576*A^2*a^38*b^30*d^7 + 79329536*A^2*a^40*b^28*d^7 + 73600384*A^2*a^42*b^26*d^7 + 56025216*A^2*a^44*b^24*d^7 + 34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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) - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 + 90304*A^3*a^29*b^37*d^6 + 1465856*A^3*a^31*b^35*d^6 + 5014464*A^3*a^33*b^33*d^6 + 10323456*A^3*a^35*b^31*d^6 + 14661504*A^3*a^37*b^29*d^6 + 14908608*A^3*a^39*b^27*d^6 + 10808512*A^3*a^41*b^25*d^6 + 5328128*A^3*a^43*b^23*d^6 + 1531712*A^3*a^45*b^21*d^6 + 87808*A^3*a^47*b^19*d^6 - 85696*A^3*a^49*b^17*d^6 - 6144*A^3*a^51*b^15*d^6 + 15264*A^3*a^53*b^13*d^6 + 5856*A^3*a^55*b^11*d^6 + 704*A^3*a^57*b^9*d^6 + 384*B^3*a^24*b^42*d^6 + 7296*B^3*a^26*b^40*d^6 + 59424*B^3*a^28*b^38*d^6 + 280992*B^3*a^30*b^36*d^6 + 866208*B^3*a^32*b^34*d^6 + 1825824*B^3*a^34*b^32*d^6 + 2629536*B^3*a^36*b^30*d^6 + 2374944*B^3*a^38*b^28*d^6 + 727584*B^3*a^40*b^26*d^6 - 1413984*B^3*a^42*b^24*d^6 - 2649504*B^3*a^44*b^22*d^6 - 2454816*B^3*a^46*b^20*d^6 - 1476384*B^3*a^48*b^18*d^6 - 597408*B^3*a^50*b^16*d^6 - 156192*B^3*a^52*b^14*d^6 - 22944*B^3*a^54*b^12*d^6 - 1056*B^3*a^56*b^10*d^6 + 96*B^3*a^58*b^8*d^6 - 2048*A*B^2*a^23*b^43*d^6 - 35456*A*B^2*a^25*b^41*d^6 - 269824*A*B^2*a^27*b^39*d^6 - 1203648*A*B^2*a^29*b^37*d^6 - 3500672*A*B^2*a^31*b^35*d^6 - 6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 45120*A^2*B*a^54*b^12*d^6 + 2240*A^2*B*a^56*b^10*d^6 - 288*A^2*B*a^58*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(67232*A^4*a^27*b^36*d^5 - 3200*A^4*a^23*b^40*d^5 - 3200*A^4*a^25*b^38*d^5 - 400*A^4*a^21*b^42*d^5 + 437248*A^4*a^29*b^34*d^5 + 1458912*A^4*a^31*b^32*d^5 + 3214848*A^4*a^33*b^30*d^5 + 5065632*A^4*a^35*b^28*d^5 + 5898464*A^4*a^37*b^26*d^5 + 5129696*A^4*a^39*b^24*d^5 + 3313024*A^4*a^41*b^22*d^5 + 1552096*A^4*a^43*b^20*d^5 + 500864*A^4*a^45*b^18*d^5 + 99232*A^4*a^47*b^16*d^5 + 8448*A^4*a^49*b^14*d^5 - 288*A^4*a^51*b^12*d^5 + 48*A^4*a^53*b^10*d^5 + 32*A^4*a^55*b^8*d^5 + 64*B^4*a^23*b^40*d^5 + 512*B^4*a^25*b^38*d^5 + 544*B^4*a^27*b^36*d^5 - 10304*B^4*a^29*b^34*d^5 - 66976*B^4*a^31*b^32*d^5 - 221312*B^4*a^33*b^30*d^5 - 480480*B^4*a^35*b^28*d^5 - 741312*B^4*a^37*b^26*d^5 - 837408*B^4*a^39*b^24*d^5 - 695552*B^4*a^41*b^22*d^5 - 416416*B^4*a^43*b^20*d^5 - 168896*B^4*a^45*b^18*d^5 - 37856*B^4*a^47*b^16*d^5 + 896*B^4*a^49*b^14*d^5 + 3424*B^4*a^51*b^12*d^5 + 960*B^4*a^53*b^10*d^5 + 96*B^4*a^55*b^8*d^5 - 320*A*B^3*a^22*b^41*d^5 - 2048*A*B^3*a^24*b^39*d^5 + 4096*A*B^3*a^26*b^37*d^5 + 93184*A*B^3*a^28*b^35*d^5 + 489216*A*B^3*a^30*b^33*d^5 + 1490944*A*B^3*a^32*b^31*d^5 + 3075072*A*B^3*a^34*b^29*d^5 + 4539392*A*B^3*a^36*b^27*d^5 + 4887168*A*B^3*a^38*b^25*d^5 + 3807232*A*B^3*a^40*b^23*d^5 + 2050048*A*B^3*a^42*b^21*d^5 + 652288*A*B^3*a^44*b^19*d^5 + 23296*A*B^3*a^46*b^17*d^5 - 86016*A*B^3*a^48*b^15*d^5 - 41984*A*B^3*a^50*b^13*d^5 - 9216*A*B^3*a^52*b^11*d^5 - 832*A*B^3*a^54*b^9*d^5 + 3520*A^3*B*a^22*b^41*d^5 + 44160*A^3*B*a^24*b^39*d^5 + 248960*A^3*B*a^26*b^37*d^5 + 819840*A^3*B*a^28*b^35*d^5 + 1688960*A^3*B*a^30*b^33*d^5 + 2038400*A^3*B*a^32*b^31*d^5 + 640640*A^3*B*a^34*b^29*d^5 - 2654080*A^3*B*a^36*b^27*d^5 - 6040320*A^3*B*a^38*b^25*d^5 - 7230080*A^3*B*a^40*b^23*d^5 - 5765760*A^3*B*a^42*b^21*d^5 - 3203200*A^3*B*a^44*b^19*d^5 - 1223040*A^3*B*a^46*b^17*d^5 - 300160*A^3*B*a^48*b^15*d^5 - 39040*A^3*B*a^50*b^13*d^5 - 640*A^3*B*a^52*b^11*d^5 + 320*A^3*B*a^54*b^9*d^5 + 400*A^2*B^2*a^21*b^42*d^5 + 576*A^2*B^2*a^23*b^40*d^5 - 30592*A^2*B^2*a^25*b^38*d^5 - 264768*A^2*B^2*a^27*b^36*d^5 - 1124032*A^2*B^2*a^29*b^34*d^5 - 3011008*A^2*B^2*a^31*b^32*d^5 - 5509504*A^2*B^2*a^33*b^30*d^5 - 7019584*A^2*B^2*a^35*b^28*d^5 - 5999136*A^2*B^2*a^37*b^26*d^5 - 2809664*A^2*B^2*a^39*b^24*d^5 + 384384*A^2*B^2*a^41*b^22*d^5 + 1811264*A^2*B^2*a^43*b^20*d^5 + 1555008*A^2*B^2*a^45*b^18*d^5 + 765632*A^2*B^2*a^47*b^16*d^5 + 234368*A^2*B^2*a^49*b^14*d^5 + 41792*A^2*B^2*a^51*b^12*d^5 + 3344*A^2*B^2*a^53*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*1i - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^3*a^29*b^37*d^6 - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^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) - 1280*A*a^24*b^47*d^8 - 24320*A*a^26*b^45*d^8 - 219008*A*a^28*b^43*d^8 - 1241984*A*a^30*b^41*d^8 - 4970496*A*a^32*b^39*d^8 - 14909440*A*a^34*b^37*d^8 - 34746880*A*a^36*b^35*d^8 - 64356864*A*a^38*b^33*d^8 - 96092672*A*a^40*b^31*d^8 - 116633088*A*a^42*b^29*d^8 - 115498240*A*a^44*b^27*d^8 - 93267200*A*a^46*b^25*d^8 - 61128704*A*a^48*b^23*d^8 - 32212992*A*a^50*b^21*d^8 - 13439488*A*a^52*b^19*d^8 - 4334080*A*a^54*b^17*d^8 - 1040640*A*a^56*b^15*d^8 - 174848*A*a^58*b^13*d^8 - 18304*A*a^60*b^11*d^8 - 896*A*a^62*b^9*d^8 + 512*B*a^25*b^46*d^8 + 9728*B*a^27*b^44*d^8 + 87936*B*a^29*b^42*d^8 + 502144*B*a^31*b^40*d^8 + 2028544*B*a^33*b^38*d^8 + 6153216*B*a^35*b^36*d^8 + 14518784*B*a^37*b^34*d^8 + 27243008*B*a^39*b^32*d^8 + 41213952*B*a^41*b^30*d^8 + 50665472*B*a^43*b^28*d^8 + 50775296*B*a^45*b^26*d^8 + 41443584*B*a^47*b^24*d^8 + 27409408*B*a^49*b^22*d^8 + 14543872*B*a^51*b^20*d^8 + 6093312*B*a^53*b^18*d^8 + 1966592*B*a^55*b^16*d^8 + 470528*B*a^57*b^14*d^8 + 78336*B*a^59*b^12*d^8 + 8064*B*a^61*b^10*d^8 + 384*B*a^63*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(1600*A^2*a^22*b^46*d^7 + 28800*A^2*a^24*b^44*d^7 + 244800*A^2*a^26*b^42*d^7 + 1304256*A^2*a^28*b^40*d^7 + 4880128*A^2*a^30*b^38*d^7 + 13627392*A^2*a^32*b^36*d^7 + 29476608*A^2*a^34*b^34*d^7 + 50615552*A^2*a^36*b^32*d^7 + 70152576*A^2*a^38*b^30*d^7 + 79329536*A^2*a^40*b^28*d^7 + 73600384*A^2*a^42*b^26*d^7 + 56025216*A^2*a^44*b^24*d^7 + 34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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) + 1465856*A^3*a^31*b^35*d^6 + 5014464*A^3*a^33*b^33*d^6 + 10323456*A^3*a^35*b^31*d^6 + 14661504*A^3*a^37*b^29*d^6 + 14908608*A^3*a^39*b^27*d^6 + 10808512*A^3*a^41*b^25*d^6 + 5328128*A^3*a^43*b^23*d^6 + 1531712*A^3*a^45*b^21*d^6 + 87808*A^3*a^47*b^19*d^6 - 85696*A^3*a^49*b^17*d^6 - 6144*A^3*a^51*b^15*d^6 + 15264*A^3*a^53*b^13*d^6 + 5856*A^3*a^55*b^11*d^6 + 704*A^3*a^57*b^9*d^6 + 384*B^3*a^24*b^42*d^6 + 7296*B^3*a^26*b^40*d^6 + 59424*B^3*a^28*b^38*d^6 + 280992*B^3*a^30*b^36*d^6 + 866208*B^3*a^32*b^34*d^6 + 1825824*B^3*a^34*b^32*d^6 + 2629536*B^3*a^36*b^30*d^6 + 2374944*B^3*a^38*b^28*d^6 + 727584*B^3*a^40*b^26*d^6 - 1413984*B^3*a^42*b^24*d^6 - 2649504*B^3*a^44*b^22*d^6 - 2454816*B^3*a^46*b^20*d^6 - 1476384*B^3*a^48*b^18*d^6 - 597408*B^3*a^50*b^16*d^6 - 156192*B^3*a^52*b^14*d^6 - 22944*B^3*a^54*b^12*d^6 - 1056*B^3*a^56*b^10*d^6 + 96*B^3*a^58*b^8*d^6 - 2048*A*B^2*a^23*b^43*d^6 - 35456*A*B^2*a^25*b^41*d^6 - 269824*A*B^2*a^27*b^39*d^6 - 1203648*A*B^2*a^29*b^37*d^6 - 3500672*A*B^2*a^31*b^35*d^6 - 6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 45120*A^2*B*a^54*b^12*d^6 + 2240*A^2*B*a^56*b^10*d^6 - 288*A^2*B*a^58*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(67232*A^4*a^27*b^36*d^5 - 3200*A^4*a^23*b^40*d^5 - 3200*A^4*a^25*b^38*d^5 - 400*A^4*a^21*b^42*d^5 + 437248*A^4*a^29*b^34*d^5 + 1458912*A^4*a^31*b^32*d^5 + 3214848*A^4*a^33*b^30*d^5 + 5065632*A^4*a^35*b^28*d^5 + 5898464*A^4*a^37*b^26*d^5 + 5129696*A^4*a^39*b^24*d^5 + 3313024*A^4*a^41*b^22*d^5 + 1552096*A^4*a^43*b^20*d^5 + 500864*A^4*a^45*b^18*d^5 + 99232*A^4*a^47*b^16*d^5 + 8448*A^4*a^49*b^14*d^5 - 288*A^4*a^51*b^12*d^5 + 48*A^4*a^53*b^10*d^5 + 32*A^4*a^55*b^8*d^5 + 64*B^4*a^23*b^40*d^5 + 512*B^4*a^25*b^38*d^5 + 544*B^4*a^27*b^36*d^5 - 10304*B^4*a^29*b^34*d^5 - 66976*B^4*a^31*b^32*d^5 - 221312*B^4*a^33*b^30*d^5 - 480480*B^4*a^35*b^28*d^5 - 741312*B^4*a^37*b^26*d^5 - 837408*B^4*a^39*b^24*d^5 - 695552*B^4*a^41*b^22*d^5 - 416416*B^4*a^43*b^20*d^5 - 168896*B^4*a^45*b^18*d^5 - 37856*B^4*a^47*b^16*d^5 + 896*B^4*a^49*b^14*d^5 + 3424*B^4*a^51*b^12*d^5 + 960*B^4*a^53*b^10*d^5 + 96*B^4*a^55*b^8*d^5 - 320*A*B^3*a^22*b^41*d^5 - 2048*A*B^3*a^24*b^39*d^5 + 4096*A*B^3*a^26*b^37*d^5 + 93184*A*B^3*a^28*b^35*d^5 + 489216*A*B^3*a^30*b^33*d^5 + 1490944*A*B^3*a^32*b^31*d^5 + 3075072*A*B^3*a^34*b^29*d^5 + 4539392*A*B^3*a^36*b^27*d^5 + 4887168*A*B^3*a^38*b^25*d^5 + 3807232*A*B^3*a^40*b^23*d^5 + 2050048*A*B^3*a^42*b^21*d^5 + 652288*A*B^3*a^44*b^19*d^5 + 23296*A*B^3*a^46*b^17*d^5 - 86016*A*B^3*a^48*b^15*d^5 - 41984*A*B^3*a^50*b^13*d^5 - 9216*A*B^3*a^52*b^11*d^5 - 832*A*B^3*a^54*b^9*d^5 + 3520*A^3*B*a^22*b^41*d^5 + 44160*A^3*B*a^24*b^39*d^5 + 248960*A^3*B*a^26*b^37*d^5 + 819840*A^3*B*a^28*b^35*d^5 + 1688960*A^3*B*a^30*b^33*d^5 + 2038400*A^3*B*a^32*b^31*d^5 + 640640*A^3*B*a^34*b^29*d^5 - 2654080*A^3*B*a^36*b^27*d^5 - 6040320*A^3*B*a^38*b^25*d^5 - 7230080*A^3*B*a^40*b^23*d^5 - 5765760*A^3*B*a^42*b^21*d^5 - 3203200*A^3*B*a^44*b^19*d^5 - 1223040*A^3*B*a^46*b^17*d^5 - 300160*A^3*B*a^48*b^15*d^5 - 39040*A^3*B*a^50*b^13*d^5 - 640*A^3*B*a^52*b^11*d^5 + 320*A^3*B*a^54*b^9*d^5 + 400*A^2*B^2*a^21*b^42*d^5 + 576*A^2*B^2*a^23*b^40*d^5 - 30592*A^2*B^2*a^25*b^38*d^5 - 264768*A^2*B^2*a^27*b^36*d^5 - 1124032*A^2*B^2*a^29*b^34*d^5 - 3011008*A^2*B^2*a^31*b^32*d^5 - 5509504*A^2*B^2*a^33*b^30*d^5 - 7019584*A^2*B^2*a^35*b^28*d^5 - 5999136*A^2*B^2*a^37*b^26*d^5 - 2809664*A^2*B^2*a^39*b^24*d^5 + 384384*A^2*B^2*a^41*b^22*d^5 + 1811264*A^2*B^2*a^43*b^20*d^5 + 1555008*A^2*B^2*a^45*b^18*d^5 + 765632*A^2*B^2*a^47*b^16*d^5 + 234368*A^2*B^2*a^49*b^14*d^5 + 41792*A^2*B^2*a^51*b^12*d^5 + 3344*A^2*B^2*a^53*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*1i)/(800*A^5*a^22*b^39*d^4 - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^3*a^29*b^37*d^6 - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^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) - 1280*A*a^24*b^47*d^8 - 24320*A*a^26*b^45*d^8 - 219008*A*a^28*b^43*d^8 - 1241984*A*a^30*b^41*d^8 - 4970496*A*a^32*b^39*d^8 - 14909440*A*a^34*b^37*d^8 - 34746880*A*a^36*b^35*d^8 - 64356864*A*a^38*b^33*d^8 - 96092672*A*a^40*b^31*d^8 - 116633088*A*a^42*b^29*d^8 - 115498240*A*a^44*b^27*d^8 - 93267200*A*a^46*b^25*d^8 - 61128704*A*a^48*b^23*d^8 - 32212992*A*a^50*b^21*d^8 - 13439488*A*a^52*b^19*d^8 - 4334080*A*a^54*b^17*d^8 - 1040640*A*a^56*b^15*d^8 - 174848*A*a^58*b^13*d^8 - 18304*A*a^60*b^11*d^8 - 896*A*a^62*b^9*d^8 + 512*B*a^25*b^46*d^8 + 9728*B*a^27*b^44*d^8 + 87936*B*a^29*b^42*d^8 + 502144*B*a^31*b^40*d^8 + 2028544*B*a^33*b^38*d^8 + 6153216*B*a^35*b^36*d^8 + 14518784*B*a^37*b^34*d^8 + 27243008*B*a^39*b^32*d^8 + 41213952*B*a^41*b^30*d^8 + 50665472*B*a^43*b^28*d^8 + 50775296*B*a^45*b^26*d^8 + 41443584*B*a^47*b^24*d^8 + 27409408*B*a^49*b^22*d^8 + 14543872*B*a^51*b^20*d^8 + 6093312*B*a^53*b^18*d^8 + 1966592*B*a^55*b^16*d^8 + 470528*B*a^57*b^14*d^8 + 78336*B*a^59*b^12*d^8 + 8064*B*a^61*b^10*d^8 + 384*B*a^63*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(1600*A^2*a^22*b^46*d^7 + 28800*A^2*a^24*b^44*d^7 + 244800*A^2*a^26*b^42*d^7 + 1304256*A^2*a^28*b^40*d^7 + 4880128*A^2*a^30*b^38*d^7 + 13627392*A^2*a^32*b^36*d^7 + 29476608*A^2*a^34*b^34*d^7 + 50615552*A^2*a^36*b^32*d^7 + 70152576*A^2*a^38*b^30*d^7 + 79329536*A^2*a^40*b^28*d^7 + 73600384*A^2*a^42*b^26*d^7 + 56025216*A^2*a^44*b^24*d^7 + 34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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) + 1465856*A^3*a^31*b^35*d^6 + 5014464*A^3*a^33*b^33*d^6 + 10323456*A^3*a^35*b^31*d^6 + 14661504*A^3*a^37*b^29*d^6 + 14908608*A^3*a^39*b^27*d^6 + 10808512*A^3*a^41*b^25*d^6 + 5328128*A^3*a^43*b^23*d^6 + 1531712*A^3*a^45*b^21*d^6 + 87808*A^3*a^47*b^19*d^6 - 85696*A^3*a^49*b^17*d^6 - 6144*A^3*a^51*b^15*d^6 + 15264*A^3*a^53*b^13*d^6 + 5856*A^3*a^55*b^11*d^6 + 704*A^3*a^57*b^9*d^6 + 384*B^3*a^24*b^42*d^6 + 7296*B^3*a^26*b^40*d^6 + 59424*B^3*a^28*b^38*d^6 + 280992*B^3*a^30*b^36*d^6 + 866208*B^3*a^32*b^34*d^6 + 1825824*B^3*a^34*b^32*d^6 + 2629536*B^3*a^36*b^30*d^6 + 2374944*B^3*a^38*b^28*d^6 + 727584*B^3*a^40*b^26*d^6 - 1413984*B^3*a^42*b^24*d^6 - 2649504*B^3*a^44*b^22*d^6 - 2454816*B^3*a^46*b^20*d^6 - 1476384*B^3*a^48*b^18*d^6 - 597408*B^3*a^50*b^16*d^6 - 156192*B^3*a^52*b^14*d^6 - 22944*B^3*a^54*b^12*d^6 - 1056*B^3*a^56*b^10*d^6 + 96*B^3*a^58*b^8*d^6 - 2048*A*B^2*a^23*b^43*d^6 - 35456*A*B^2*a^25*b^41*d^6 - 269824*A*B^2*a^27*b^39*d^6 - 1203648*A*B^2*a^29*b^37*d^6 - 3500672*A*B^2*a^31*b^35*d^6 - 6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 45120*A^2*B*a^54*b^12*d^6 + 2240*A^2*B*a^56*b^10*d^6 - 288*A^2*B*a^58*b^8*d^6) - (a + b*tan(c + d*x))^(1/2)*(67232*A^4*a^27*b^36*d^5 - 3200*A^4*a^23*b^40*d^5 - 3200*A^4*a^25*b^38*d^5 - 400*A^4*a^21*b^42*d^5 + 437248*A^4*a^29*b^34*d^5 + 1458912*A^4*a^31*b^32*d^5 + 3214848*A^4*a^33*b^30*d^5 + 5065632*A^4*a^35*b^28*d^5 + 5898464*A^4*a^37*b^26*d^5 + 5129696*A^4*a^39*b^24*d^5 + 3313024*A^4*a^41*b^22*d^5 + 1552096*A^4*a^43*b^20*d^5 + 500864*A^4*a^45*b^18*d^5 + 99232*A^4*a^47*b^16*d^5 + 8448*A^4*a^49*b^14*d^5 - 288*A^4*a^51*b^12*d^5 + 48*A^4*a^53*b^10*d^5 + 32*A^4*a^55*b^8*d^5 + 64*B^4*a^23*b^40*d^5 + 512*B^4*a^25*b^38*d^5 + 544*B^4*a^27*b^36*d^5 - 10304*B^4*a^29*b^34*d^5 - 66976*B^4*a^31*b^32*d^5 - 221312*B^4*a^33*b^30*d^5 - 480480*B^4*a^35*b^28*d^5 - 741312*B^4*a^37*b^26*d^5 - 837408*B^4*a^39*b^24*d^5 - 695552*B^4*a^41*b^22*d^5 - 416416*B^4*a^43*b^20*d^5 - 168896*B^4*a^45*b^18*d^5 - 37856*B^4*a^47*b^16*d^5 + 896*B^4*a^49*b^14*d^5 + 3424*B^4*a^51*b^12*d^5 + 960*B^4*a^53*b^10*d^5 + 96*B^4*a^55*b^8*d^5 - 320*A*B^3*a^22*b^41*d^5 - 2048*A*B^3*a^24*b^39*d^5 + 4096*A*B^3*a^26*b^37*d^5 + 93184*A*B^3*a^28*b^35*d^5 + 489216*A*B^3*a^30*b^33*d^5 + 1490944*A*B^3*a^32*b^31*d^5 + 3075072*A*B^3*a^34*b^29*d^5 + 4539392*A*B^3*a^36*b^27*d^5 + 4887168*A*B^3*a^38*b^25*d^5 + 3807232*A*B^3*a^40*b^23*d^5 + 2050048*A*B^3*a^42*b^21*d^5 + 652288*A*B^3*a^44*b^19*d^5 + 23296*A*B^3*a^46*b^17*d^5 - 86016*A*B^3*a^48*b^15*d^5 - 41984*A*B^3*a^50*b^13*d^5 - 9216*A*B^3*a^52*b^11*d^5 - 832*A*B^3*a^54*b^9*d^5 + 3520*A^3*B*a^22*b^41*d^5 + 44160*A^3*B*a^24*b^39*d^5 + 248960*A^3*B*a^26*b^37*d^5 + 819840*A^3*B*a^28*b^35*d^5 + 1688960*A^3*B*a^30*b^33*d^5 + 2038400*A^3*B*a^32*b^31*d^5 + 640640*A^3*B*a^34*b^29*d^5 - 2654080*A^3*B*a^36*b^27*d^5 - 6040320*A^3*B*a^38*b^25*d^5 - 7230080*A^3*B*a^40*b^23*d^5 - 5765760*A^3*B*a^42*b^21*d^5 - 3203200*A^3*B*a^44*b^19*d^5 - 1223040*A^3*B*a^46*b^17*d^5 - 300160*A^3*B*a^48*b^15*d^5 - 39040*A^3*B*a^50*b^13*d^5 - 640*A^3*B*a^52*b^11*d^5 + 320*A^3*B*a^54*b^9*d^5 + 400*A^2*B^2*a^21*b^42*d^5 + 576*A^2*B^2*a^23*b^40*d^5 - 30592*A^2*B^2*a^25*b^38*d^5 - 264768*A^2*B^2*a^27*b^36*d^5 - 1124032*A^2*B^2*a^29*b^34*d^5 - 3011008*A^2*B^2*a^31*b^32*d^5 - 5509504*A^2*B^2*a^33*b^30*d^5 - 7019584*A^2*B^2*a^35*b^28*d^5 - 5999136*A^2*B^2*a^37*b^26*d^5 - 2809664*A^2*B^2*a^39*b^24*d^5 + 384384*A^2*B^2*a^41*b^22*d^5 + 1811264*A^2*B^2*a^43*b^20*d^5 + 1555008*A^2*B^2*a^45*b^18*d^5 + 765632*A^2*B^2*a^47*b^16*d^5 + 234368*A^2*B^2*a^49*b^14*d^5 + 41792*A^2*B^2*a^51*b^12*d^5 + 3344*A^2*B^2*a^53*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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) - ((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(((-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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^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) + 1280*A*a^24*b^47*d^8 + 24320*A*a^26*b^45*d^8 + 219008*A*a^28*b^43*d^8 + 1241984*A*a^30*b^41*d^8 + 4970496*A*a^32*b^39*d^8 + 14909440*A*a^34*b^37*d^8 + 34746880*A*a^36*b^35*d^8 + 64356864*A*a^38*b^33*d^8 + 96092672*A*a^40*b^31*d^8 + 116633088*A*a^42*b^29*d^8 + 115498240*A*a^44*b^27*d^8 + 93267200*A*a^46*b^25*d^8 + 61128704*A*a^48*b^23*d^8 + 32212992*A*a^50*b^21*d^8 + 13439488*A*a^52*b^19*d^8 + 4334080*A*a^54*b^17*d^8 + 1040640*A*a^56*b^15*d^8 + 174848*A*a^58*b^13*d^8 + 18304*A*a^60*b^11*d^8 + 896*A*a^62*b^9*d^8 - 512*B*a^25*b^46*d^8 - 9728*B*a^27*b^44*d^8 - 87936*B*a^29*b^42*d^8 - 502144*B*a^31*b^40*d^8 - 2028544*B*a^33*b^38*d^8 - 6153216*B*a^35*b^36*d^8 - 14518784*B*a^37*b^34*d^8 - 27243008*B*a^39*b^32*d^8 - 41213952*B*a^41*b^30*d^8 - 50665472*B*a^43*b^28*d^8 - 50775296*B*a^45*b^26*d^8 - 41443584*B*a^47*b^24*d^8 - 27409408*B*a^49*b^22*d^8 - 14543872*B*a^51*b^20*d^8 - 6093312*B*a^53*b^18*d^8 - 1966592*B*a^55*b^16*d^8 - 470528*B*a^57*b^14*d^8 - 78336*B*a^59*b^12*d^8 - 8064*B*a^61*b^10*d^8 - 384*B*a^63*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(1600*A^2*a^22*b^46*d^7 + 28800*A^2*a^24*b^44*d^7 + 244800*A^2*a^26*b^42*d^7 + 1304256*A^2*a^28*b^40*d^7 + 4880128*A^2*a^30*b^38*d^7 + 13627392*A^2*a^32*b^36*d^7 + 29476608*A^2*a^34*b^34*d^7 + 50615552*A^2*a^36*b^32*d^7 + 70152576*A^2*a^38*b^30*d^7 + 79329536*A^2*a^40*b^28*d^7 + 73600384*A^2*a^42*b^26*d^7 + 56025216*A^2*a^44*b^24*d^7 + 34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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) - 800*A^3*a^21*b^45*d^6 - 10400*A^3*a^23*b^43*d^6 - 54400*A^3*a^25*b^41*d^6 - 121600*A^3*a^27*b^39*d^6 + 90304*A^3*a^29*b^37*d^6 + 1465856*A^3*a^31*b^35*d^6 + 5014464*A^3*a^33*b^33*d^6 + 10323456*A^3*a^35*b^31*d^6 + 14661504*A^3*a^37*b^29*d^6 + 14908608*A^3*a^39*b^27*d^6 + 10808512*A^3*a^41*b^25*d^6 + 5328128*A^3*a^43*b^23*d^6 + 1531712*A^3*a^45*b^21*d^6 + 87808*A^3*a^47*b^19*d^6 - 85696*A^3*a^49*b^17*d^6 - 6144*A^3*a^51*b^15*d^6 + 15264*A^3*a^53*b^13*d^6 + 5856*A^3*a^55*b^11*d^6 + 704*A^3*a^57*b^9*d^6 + 384*B^3*a^24*b^42*d^6 + 7296*B^3*a^26*b^40*d^6 + 59424*B^3*a^28*b^38*d^6 + 280992*B^3*a^30*b^36*d^6 + 866208*B^3*a^32*b^34*d^6 + 1825824*B^3*a^34*b^32*d^6 + 2629536*B^3*a^36*b^30*d^6 + 2374944*B^3*a^38*b^28*d^6 + 727584*B^3*a^40*b^26*d^6 - 1413984*B^3*a^42*b^24*d^6 - 2649504*B^3*a^44*b^22*d^6 - 2454816*B^3*a^46*b^20*d^6 - 1476384*B^3*a^48*b^18*d^6 - 597408*B^3*a^50*b^16*d^6 - 156192*B^3*a^52*b^14*d^6 - 22944*B^3*a^54*b^12*d^6 - 1056*B^3*a^56*b^10*d^6 + 96*B^3*a^58*b^8*d^6 - 2048*A*B^2*a^23*b^43*d^6 - 35456*A*B^2*a^25*b^41*d^6 - 269824*A*B^2*a^27*b^39*d^6 - 1203648*A*B^2*a^29*b^37*d^6 - 3500672*A*B^2*a^31*b^35*d^6 - 6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 45120*A^2*B*a^54*b^12*d^6 + 2240*A^2*B*a^56*b^10*d^6 - 288*A^2*B*a^58*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(67232*A^4*a^27*b^36*d^5 - 3200*A^4*a^23*b^40*d^5 - 3200*A^4*a^25*b^38*d^5 - 400*A^4*a^21*b^42*d^5 + 437248*A^4*a^29*b^34*d^5 + 1458912*A^4*a^31*b^32*d^5 + 3214848*A^4*a^33*b^30*d^5 + 5065632*A^4*a^35*b^28*d^5 + 5898464*A^4*a^37*b^26*d^5 + 5129696*A^4*a^39*b^24*d^5 + 3313024*A^4*a^41*b^22*d^5 + 1552096*A^4*a^43*b^20*d^5 + 500864*A^4*a^45*b^18*d^5 + 99232*A^4*a^47*b^16*d^5 + 8448*A^4*a^49*b^14*d^5 - 288*A^4*a^51*b^12*d^5 + 48*A^4*a^53*b^10*d^5 + 32*A^4*a^55*b^8*d^5 + 64*B^4*a^23*b^40*d^5 + 512*B^4*a^25*b^38*d^5 + 544*B^4*a^27*b^36*d^5 - 10304*B^4*a^29*b^34*d^5 - 66976*B^4*a^31*b^32*d^5 - 221312*B^4*a^33*b^30*d^5 - 480480*B^4*a^35*b^28*d^5 - 741312*B^4*a^37*b^26*d^5 - 837408*B^4*a^39*b^24*d^5 - 695552*B^4*a^41*b^22*d^5 - 416416*B^4*a^43*b^20*d^5 - 168896*B^4*a^45*b^18*d^5 - 37856*B^4*a^47*b^16*d^5 + 896*B^4*a^49*b^14*d^5 + 3424*B^4*a^51*b^12*d^5 + 960*B^4*a^53*b^10*d^5 + 96*B^4*a^55*b^8*d^5 - 320*A*B^3*a^22*b^41*d^5 - 2048*A*B^3*a^24*b^39*d^5 + 4096*A*B^3*a^26*b^37*d^5 + 93184*A*B^3*a^28*b^35*d^5 + 489216*A*B^3*a^30*b^33*d^5 + 1490944*A*B^3*a^32*b^31*d^5 + 3075072*A*B^3*a^34*b^29*d^5 + 4539392*A*B^3*a^36*b^27*d^5 + 4887168*A*B^3*a^38*b^25*d^5 + 3807232*A*B^3*a^40*b^23*d^5 + 2050048*A*B^3*a^42*b^21*d^5 + 652288*A*B^3*a^44*b^19*d^5 + 23296*A*B^3*a^46*b^17*d^5 - 86016*A*B^3*a^48*b^15*d^5 - 41984*A*B^3*a^50*b^13*d^5 - 9216*A*B^3*a^52*b^11*d^5 - 832*A*B^3*a^54*b^9*d^5 + 3520*A^3*B*a^22*b^41*d^5 + 44160*A^3*B*a^24*b^39*d^5 + 248960*A^3*B*a^26*b^37*d^5 + 819840*A^3*B*a^28*b^35*d^5 + 1688960*A^3*B*a^30*b^33*d^5 + 2038400*A^3*B*a^32*b^31*d^5 + 640640*A^3*B*a^34*b^29*d^5 - 2654080*A^3*B*a^36*b^27*d^5 - 6040320*A^3*B*a^38*b^25*d^5 - 7230080*A^3*B*a^40*b^23*d^5 - 5765760*A^3*B*a^42*b^21*d^5 - 3203200*A^3*B*a^44*b^19*d^5 - 1223040*A^3*B*a^46*b^17*d^5 - 300160*A^3*B*a^48*b^15*d^5 - 39040*A^3*B*a^50*b^13*d^5 - 640*A^3*B*a^52*b^11*d^5 + 320*A^3*B*a^54*b^9*d^5 + 400*A^2*B^2*a^21*b^42*d^5 + 576*A^2*B^2*a^23*b^40*d^5 - 30592*A^2*B^2*a^25*b^38*d^5 - 264768*A^2*B^2*a^27*b^36*d^5 - 1124032*A^2*B^2*a^29*b^34*d^5 - 3011008*A^2*B^2*a^31*b^32*d^5 - 5509504*A^2*B^2*a^33*b^30*d^5 - 7019584*A^2*B^2*a^35*b^28*d^5 - 5999136*A^2*B^2*a^37*b^26*d^5 - 2809664*A^2*B^2*a^39*b^24*d^5 + 384384*A^2*B^2*a^41*b^22*d^5 + 1811264*A^2*B^2*a^43*b^20*d^5 + 1555008*A^2*B^2*a^45*b^18*d^5 + 765632*A^2*B^2*a^47*b^16*d^5 + 234368*A^2*B^2*a^49*b^14*d^5 + 41792*A^2*B^2*a^51*b^12*d^5 + 3344*A^2*B^2*a^53*b^10*d^5))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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) + 11040*A^5*a^24*b^37*d^4 + 70560*A^5*a^26*b^35*d^4 + 276640*A^5*a^28*b^33*d^4 + 742560*A^5*a^30*b^31*d^4 + 1441440*A^5*a^32*b^29*d^4 + 2082080*A^5*a^34*b^27*d^4 + 2265120*A^5*a^36*b^25*d^4 + 1853280*A^5*a^38*b^23*d^4 + 1121120*A^5*a^40*b^21*d^4 + 480480*A^5*a^42*b^19*d^4 + 131040*A^5*a^44*b^17*d^4 + 14560*A^5*a^46*b^15*d^4 - 3360*A^5*a^48*b^13*d^4 - 1440*A^5*a^50*b^11*d^4 - 160*A^5*a^52*b^9*d^4 + 64*B^5*a^23*b^38*d^4 + 896*B^5*a^25*b^36*d^4 + 5824*B^5*a^27*b^34*d^4 + 23296*B^5*a^29*b^32*d^4 + 64064*B^5*a^31*b^30*d^4 + 128128*B^5*a^33*b^28*d^4 + 192192*B^5*a^35*b^26*d^4 + 219648*B^5*a^37*b^24*d^4 + 192192*B^5*a^39*b^22*d^4 + 128128*B^5*a^41*b^20*d^4 + 64064*B^5*a^43*b^18*d^4 + 23296*B^5*a^45*b^16*d^4 + 5824*B^5*a^47*b^14*d^4 + 896*B^5*a^49*b^12*d^4 + 64*B^5*a^51*b^10*d^4 - 320*A*B^4*a^22*b^39*d^4 - 4192*A*B^4*a^24*b^37*d^4 - 25088*A*B^4*a^26*b^35*d^4 - 90272*A*B^4*a^28*b^33*d^4 - 215488*A*B^4*a^30*b^31*d^4 - 352352*A*B^4*a^32*b^29*d^4 - 384384*A*B^4*a^34*b^27*d^4 - 233376*A*B^4*a^36*b^25*d^4 + 27456*A*B^4*a^38*b^23*d^4 + 224224*A*B^4*a^40*b^21*d^4 + 256256*A*B^4*a^42*b^19*d^4 + 171808*A*B^4*a^44*b^17*d^4 + 75712*A*B^4*a^46*b^15*d^4 + 21728*A*B^4*a^48*b^13*d^4 + 3712*A*B^4*a^50*b^11*d^4 + 288*A*B^4*a^52*b^9*d^4 + 400*A^4*B*a^21*b^40*d^4 + 4560*A^4*B*a^23*b^38*d^4 + 21904*A^4*B*a^25*b^36*d^4 + 51856*A^4*B*a^27*b^34*d^4 + 27664*A^4*B*a^29*b^32*d^4 - 216944*A^4*B*a^31*b^30*d^4 - 816816*A^4*B*a^33*b^28*d^4 - 1622192*A^4*B*a^35*b^26*d^4 - 2175888*A^4*B*a^37*b^24*d^4 - 2102672*A^4*B*a^39*b^22*d^4 - 1489488*A^4*B*a^41*b^20*d^4 - 767312*A^4*B*a^43*b^18*d^4 - 278096*A^4*B*a^45*b^16*d^4 - 65744*A^4*B*a^47*b^14*d^4 - 8336*A^4*B*a^49*b^12*d^4 - 144*A^4*B*a^51*b^10*d^4 + 64*A^4*B*a^53*b^8*d^4 + 400*A^2*B^3*a^21*b^40*d^4 + 4624*A^2*B^3*a^23*b^38*d^4 + 22800*A^2*B^3*a^25*b^36*d^4 + 57680*A^2*B^3*a^27*b^34*d^4 + 50960*A^2*B^3*a^29*b^32*d^4 - 152880*A^2*B^3*a^31*b^30*d^4 - 688688*A^2*B^3*a^33*b^28*d^4 - 1430000*A^2*B^3*a^35*b^26*d^4 - 1956240*A^2*B^3*a^37*b^24*d^4 - 1910480*A^2*B^3*a^39*b^22*d^4 - 1361360*A^2*B^3*a^41*b^20*d^4 - 703248*A^2*B^3*a^43*b^18*d^4 - 254800*A^2*B^3*a^45*b^16*d^4 - 59920*A^2*B^3*a^47*b^14*d^4 - 7440*A^2*B^3*a^49*b^12*d^4 - 80*A^2*B^3*a^51*b^10*d^4 + 64*A^2*B^3*a^53*b^8*d^4 + 480*A^3*B^2*a^22*b^39*d^4 + 6848*A^3*B^2*a^24*b^37*d^4 + 45472*A^3*B^2*a^26*b^35*d^4 + 186368*A^3*B^2*a^28*b^33*d^4 + 527072*A^3*B^2*a^30*b^31*d^4 + 1089088*A^3*B^2*a^32*b^29*d^4 + 1697696*A^3*B^2*a^34*b^27*d^4 + 2031744*A^3*B^2*a^36*b^25*d^4 + 1880736*A^3*B^2*a^38*b^23*d^4 + 1345344*A^3*B^2*a^40*b^21*d^4 + 736736*A^3*B^2*a^42*b^19*d^4 + 302848*A^3*B^2*a^44*b^17*d^4 + 90272*A^3*B^2*a^46*b^15*d^4 + 18368*A^3*B^2*a^48*b^13*d^4 + 2272*A^3*B^2*a^50*b^11*d^4 + 128*A^3*B^2*a^52*b^9*d^4))*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + 4*A^2*a^5*d^2 - 4*B^2*a^5*d^2 - 40*A^2*a^3*b^2*d^2 + 40*B^2*a^3*b^2*d^2 + 8*A*B*b^5*d^2 + 20*A^2*a*b^4*d^2 - 20*B^2*a*b^4*d^2 - 80*A*B*a^2*b^3*d^2 + 40*A*B*a^4*b*d^2)/(16*(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)*2i + (atan(((((a + b*tan(c + d*x))^(1/2)*(67232*A^4*a^27*b^36*d^5 - 3200*A^4*a^23*b^40*d^5 - 3200*A^4*a^25*b^38*d^5 - 400*A^4*a^21*b^42*d^5 + 437248*A^4*a^29*b^34*d^5 + 1458912*A^4*a^31*b^32*d^5 + 3214848*A^4*a^33*b^30*d^5 + 5065632*A^4*a^35*b^28*d^5 + 5898464*A^4*a^37*b^26*d^5 + 5129696*A^4*a^39*b^24*d^5 + 3313024*A^4*a^41*b^22*d^5 + 1552096*A^4*a^43*b^20*d^5 + 500864*A^4*a^45*b^18*d^5 + 99232*A^4*a^47*b^16*d^5 + 8448*A^4*a^49*b^14*d^5 - 288*A^4*a^51*b^12*d^5 + 48*A^4*a^53*b^10*d^5 + 32*A^4*a^55*b^8*d^5 + 64*B^4*a^23*b^40*d^5 + 512*B^4*a^25*b^38*d^5 + 544*B^4*a^27*b^36*d^5 - 10304*B^4*a^29*b^34*d^5 - 66976*B^4*a^31*b^32*d^5 - 221312*B^4*a^33*b^30*d^5 - 480480*B^4*a^35*b^28*d^5 - 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29476608*A^2*a^34*b^34*d^7 + 50615552*A^2*a^36*b^32*d^7 + 70152576*A^2*a^38*b^30*d^7 + 79329536*A^2*a^40*b^28*d^7 + 73600384*A^2*a^42*b^26*d^7 + 56025216*A^2*a^44*b^24*d^7 + 34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7) - ((5*A*b - 2*B*a)*(512*B*a^25*b^46*d^8 - 24320*A*a^26*b^45*d^8 - 219008*A*a^28*b^43*d^8 - 1241984*A*a^30*b^41*d^8 - 4970496*A*a^32*b^39*d^8 - 14909440*A*a^34*b^37*d^8 - 34746880*A*a^36*b^35*d^8 - 64356864*A*a^38*b^33*d^8 - 96092672*A*a^40*b^31*d^8 - 116633088*A*a^42*b^29*d^8 - 115498240*A*a^44*b^27*d^8 - 93267200*A*a^46*b^25*d^8 - 61128704*A*a^48*b^23*d^8 - 32212992*A*a^50*b^21*d^8 - 13439488*A*a^52*b^19*d^8 - 4334080*A*a^54*b^17*d^8 - 1040640*A*a^56*b^15*d^8 - 174848*A*a^58*b^13*d^8 - 18304*A*a^60*b^11*d^8 - 896*A*a^62*b^9*d^8 - 1280*A*a^24*b^47*d^8 + 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768*a^65*b^8*d^9))/(2*d*(a^7)^(1/2))))/(2*d*(a^7)^(1/2))))/(2*d*(a^7)^(1/2)) - 2048*A*B^2*a^23*b^43*d^6 - 35456*A*B^2*a^25*b^41*d^6 - 269824*A*B^2*a^27*b^39*d^6 - 1203648*A*B^2*a^29*b^37*d^6 - 3500672*A*B^2*a^31*b^35*d^6 - 6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 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2048*A*B^2*a^23*b^43*d^6 - 35456*A*B^2*a^25*b^41*d^6 - 269824*A*B^2*a^27*b^39*d^6 - 1203648*A*B^2*a^29*b^37*d^6 - 3500672*A*B^2*a^31*b^35*d^6 - 6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 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2374944*B^3*a^38*b^28*d^6 + 727584*B^3*a^40*b^26*d^6 - 1413984*B^3*a^42*b^24*d^6 - 2649504*B^3*a^44*b^22*d^6 - 2454816*B^3*a^46*b^20*d^6 - 1476384*B^3*a^48*b^18*d^6 - 597408*B^3*a^50*b^16*d^6 - 156192*B^3*a^52*b^14*d^6 - 22944*B^3*a^54*b^12*d^6 - 1056*B^3*a^56*b^10*d^6 + 96*B^3*a^58*b^8*d^6 - ((5*A*b - 2*B*a)*((a + b*tan(c + d*x))^(1/2)*(1600*A^2*a^22*b^46*d^7 + 28800*A^2*a^24*b^44*d^7 + 244800*A^2*a^26*b^42*d^7 + 1304256*A^2*a^28*b^40*d^7 + 4880128*A^2*a^30*b^38*d^7 + 13627392*A^2*a^32*b^36*d^7 + 29476608*A^2*a^34*b^34*d^7 + 50615552*A^2*a^36*b^32*d^7 + 70152576*A^2*a^38*b^30*d^7 + 79329536*A^2*a^40*b^28*d^7 + 73600384*A^2*a^42*b^26*d^7 + 56025216*A^2*a^44*b^24*d^7 + 34754304*A^2*a^46*b^22*d^7 + 17296384*A^2*a^48*b^20*d^7 + 6713088*A^2*a^50*b^18*d^7 + 1934592*A^2*a^52*b^16*d^7 + 377408*A^2*a^54*b^14*d^7 + 39552*A^2*a^56*b^12*d^7 + 64*A^2*a^58*b^10*d^7 - 320*A^2*a^60*b^8*d^7 + 256*B^2*a^24*b^44*d^7 + 4608*B^2*a^26*b^42*d^7 + 40512*B^2*a^28*b^40*d^7 + 224768*B^2*a^30*b^38*d^7 + 864768*B^2*a^32*b^36*d^7 + 2419200*B^2*a^34*b^34*d^7 + 5055232*B^2*a^36*b^32*d^7 + 8007168*B^2*a^38*b^30*d^7 + 9664512*B^2*a^40*b^28*d^7 + 8859136*B^2*a^42*b^26*d^7 + 6095232*B^2*a^44*b^24*d^7 + 3095040*B^2*a^46*b^22*d^7 + 1164800*B^2*a^48*b^20*d^7 + 376320*B^2*a^50*b^18*d^7 + 154368*B^2*a^52*b^16*d^7 + 76288*B^2*a^54*b^14*d^7 + 28416*B^2*a^56*b^12*d^7 + 6144*B^2*a^58*b^10*d^7 + 576*B^2*a^60*b^8*d^7 - 1280*A*B*a^23*b^45*d^7 - 23040*A*B*a^25*b^43*d^7 - 196352*A*B*a^27*b^41*d^7 - 1046016*A*B*a^29*b^39*d^7 - 3887616*A*B*a^31*b^37*d^7 - 10683904*A*B*a^33*b^35*d^7 - 22503936*A*B*a^35*b^33*d^7 - 37240320*A*B*a^37*b^31*d^7 - 49347584*A*B*a^39*b^29*d^7 - 53228032*A*B*a^41*b^27*d^7 - 47443968*A*B*a^43*b^25*d^7 - 35389952*A*B*a^45*b^23*d^7 - 22224384*A*B*a^47*b^21*d^7 - 11665920*A*B*a^49*b^19*d^7 - 4988416*A*B*a^51*b^17*d^7 - 1657344*A*B*a^53*b^15*d^7 - 397056*A*B*a^55*b^13*d^7 - 60416*A*B*a^57*b^11*d^7 - 4352*A*B*a^59*b^9*d^7) - ((5*A*b - 2*B*a)*(1280*A*a^24*b^47*d^8 + 24320*A*a^26*b^45*d^8 + 219008*A*a^28*b^43*d^8 + 1241984*A*a^30*b^41*d^8 + 4970496*A*a^32*b^39*d^8 + 14909440*A*a^34*b^37*d^8 + 34746880*A*a^36*b^35*d^8 + 64356864*A*a^38*b^33*d^8 + 96092672*A*a^40*b^31*d^8 + 116633088*A*a^42*b^29*d^8 + 115498240*A*a^44*b^27*d^8 + 93267200*A*a^46*b^25*d^8 + 61128704*A*a^48*b^23*d^8 + 32212992*A*a^50*b^21*d^8 + 13439488*A*a^52*b^19*d^8 + 4334080*A*a^54*b^17*d^8 + 1040640*A*a^56*b^15*d^8 + 174848*A*a^58*b^13*d^8 + 18304*A*a^60*b^11*d^8 + 896*A*a^62*b^9*d^8 - 512*B*a^25*b^46*d^8 - 9728*B*a^27*b^44*d^8 - 87936*B*a^29*b^42*d^8 - 502144*B*a^31*b^40*d^8 - 2028544*B*a^33*b^38*d^8 - 6153216*B*a^35*b^36*d^8 - 14518784*B*a^37*b^34*d^8 - 27243008*B*a^39*b^32*d^8 - 41213952*B*a^41*b^30*d^8 - 50665472*B*a^43*b^28*d^8 - 50775296*B*a^45*b^26*d^8 - 41443584*B*a^47*b^24*d^8 - 27409408*B*a^49*b^22*d^8 - 14543872*B*a^51*b^20*d^8 - 6093312*B*a^53*b^18*d^8 - 1966592*B*a^55*b^16*d^8 - 470528*B*a^57*b^14*d^8 - 78336*B*a^59*b^12*d^8 - 8064*B*a^61*b^10*d^8 - 384*B*a^63*b^8*d^8 + ((5*A*b - 2*B*a)*(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*d*(a^7)^(1/2))))/(2*d*(a^7)^(1/2))))/(2*d*(a^7)^(1/2)) - 2048*A*B^2*a^23*b^43*d^6 - 35456*A*B^2*a^25*b^41*d^6 - 269824*A*B^2*a^27*b^39*d^6 - 1203648*A*B^2*a^29*b^37*d^6 - 3500672*A*B^2*a^31*b^35*d^6 - 6889792*A*B^2*a^33*b^33*d^6 - 8968960*A*B^2*a^35*b^31*d^6 - 6452160*A*B^2*a^37*b^29*d^6 + 933504*A*B^2*a^39*b^27*d^6 + 8721856*A*B^2*a^41*b^25*d^6 + 11714560*A*B^2*a^43*b^23*d^6 + 9184448*A*B^2*a^45*b^21*d^6 + 4647552*A*B^2*a^47*b^19*d^6 + 1433152*A*B^2*a^49*b^17*d^6 + 182528*A*B^2*a^51*b^15*d^6 - 37696*A*B^2*a^53*b^13*d^6 - 18048*A*B^2*a^55*b^11*d^6 - 2112*A*B^2*a^57*b^9*d^6 + 3040*A^2*B*a^22*b^44*d^6 + 47200*A^2*B*a^24*b^42*d^6 + 325120*A^2*B*a^26*b^40*d^6 + 1304352*A^2*B*a^28*b^38*d^6 + 3319840*A^2*B*a^30*b^36*d^6 + 5298720*A^2*B*a^32*b^34*d^6 + 4178720*A^2*B*a^34*b^32*d^6 - 2452320*A^2*B*a^36*b^30*d^6 - 12167584*A^2*B*a^38*b^28*d^6 - 18281120*A^2*B*a^40*b^26*d^6 - 16496480*A^2*B*a^42*b^24*d^6 - 9395360*A^2*B*a^44*b^22*d^6 - 2839200*A^2*B*a^46*b^20*d^6 + 167776*A^2*B*a^48*b^18*d^6 + 563040*A^2*B*a^50*b^16*d^6 + 239840*A^2*B*a^52*b^14*d^6 + 45120*A^2*B*a^54*b^12*d^6 + 2240*A^2*B*a^56*b^10*d^6 - 288*A^2*B*a^58*b^8*d^6))/(2*d*(a^7)^(1/2)))*(5*A*b - 2*B*a))/(2*d*(a^7)^(1/2)) - 320*A*B^4*a^22*b^39*d^4 - 4192*A*B^4*a^24*b^37*d^4 - 25088*A*B^4*a^26*b^35*d^4 - 90272*A*B^4*a^28*b^33*d^4 - 215488*A*B^4*a^30*b^31*d^4 - 352352*A*B^4*a^32*b^29*d^4 - 384384*A*B^4*a^34*b^27*d^4 - 233376*A*B^4*a^36*b^25*d^4 + 27456*A*B^4*a^38*b^23*d^4 + 224224*A*B^4*a^40*b^21*d^4 + 256256*A*B^4*a^42*b^19*d^4 + 171808*A*B^4*a^44*b^17*d^4 + 75712*A*B^4*a^46*b^15*d^4 + 21728*A*B^4*a^48*b^13*d^4 + 3712*A*B^4*a^50*b^11*d^4 + 288*A*B^4*a^52*b^9*d^4 + 400*A^4*B*a^21*b^40*d^4 + 4560*A^4*B*a^23*b^38*d^4 + 21904*A^4*B*a^25*b^36*d^4 + 51856*A^4*B*a^27*b^34*d^4 + 27664*A^4*B*a^29*b^32*d^4 - 216944*A^4*B*a^31*b^30*d^4 - 816816*A^4*B*a^33*b^28*d^4 - 1622192*A^4*B*a^35*b^26*d^4 - 2175888*A^4*B*a^37*b^24*d^4 - 2102672*A^4*B*a^39*b^22*d^4 - 1489488*A^4*B*a^41*b^20*d^4 - 767312*A^4*B*a^43*b^18*d^4 - 278096*A^4*B*a^45*b^16*d^4 - 65744*A^4*B*a^47*b^14*d^4 - 8336*A^4*B*a^49*b^12*d^4 - 144*A^4*B*a^51*b^10*d^4 + 64*A^4*B*a^53*b^8*d^4 + 400*A^2*B^3*a^21*b^40*d^4 + 4624*A^2*B^3*a^23*b^38*d^4 + 22800*A^2*B^3*a^25*b^36*d^4 + 57680*A^2*B^3*a^27*b^34*d^4 + 50960*A^2*B^3*a^29*b^32*d^4 - 152880*A^2*B^3*a^31*b^30*d^4 - 688688*A^2*B^3*a^33*b^28*d^4 - 1430000*A^2*B^3*a^35*b^26*d^4 - 1956240*A^2*B^3*a^37*b^24*d^4 - 1910480*A^2*B^3*a^39*b^22*d^4 - 1361360*A^2*B^3*a^41*b^20*d^4 - 703248*A^2*B^3*a^43*b^18*d^4 - 254800*A^2*B^3*a^45*b^16*d^4 - 59920*A^2*B^3*a^47*b^14*d^4 - 7440*A^2*B^3*a^49*b^12*d^4 - 80*A^2*B^3*a^51*b^10*d^4 + 64*A^2*B^3*a^53*b^8*d^4 + 480*A^3*B^2*a^22*b^39*d^4 + 6848*A^3*B^2*a^24*b^37*d^4 + 45472*A^3*B^2*a^26*b^35*d^4 + 186368*A^3*B^2*a^28*b^33*d^4 + 527072*A^3*B^2*a^30*b^31*d^4 + 1089088*A^3*B^2*a^32*b^29*d^4 + 1697696*A^3*B^2*a^34*b^27*d^4 + 2031744*A^3*B^2*a^36*b^25*d^4 + 1880736*A^3*B^2*a^38*b^23*d^4 + 1345344*A^3*B^2*a^40*b^21*d^4 + 736736*A^3*B^2*a^42*b^19*d^4 + 302848*A^3*B^2*a^44*b^17*d^4 + 90272*A^3*B^2*a^46*b^15*d^4 + 18368*A^3*B^2*a^48*b^13*d^4 + 2272*A^3*B^2*a^50*b^11*d^4 + 128*A^3*B^2*a^52*b^9*d^4))*(5*A*b - 2*B*a)*1i)/(d*(a^7)^(1/2))","B"
364,1,71314,364,12.401380,"\text{Not used}","int((cot(c + d*x)^3*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)","\frac{\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3\,\left(-4\,B\,a^5\,b+11\,A\,a^4\,b^2-40\,B\,a^3\,b^3+62\,A\,a^2\,b^4-20\,B\,a\,b^5+35\,A\,b^6\right)}{4\,\left(a^8+2\,a^6\,b^2+a^4\,b^4\right)}-\frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2\,\left(-12\,B\,a^5\,b+39\,A\,a^4\,b^2-208\,B\,a^3\,b^3+310\,A\,a^2\,b^4-100\,B\,a\,b^5+175\,A\,b^6\right)}{12\,\left(a^7+2\,a^5\,b^2+a^3\,b^4\right)}+\frac{2\,\left(A\,b^4-B\,a\,b^3\right)}{3\,a\,\left(a^2+b^2\right)}+\frac{2\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(-10\,B\,a^3\,b^3+13\,A\,a^2\,b^4-4\,B\,a\,b^5+7\,A\,b^6\right)}{3\,a^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{7/2}-2\,a\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}+a^2\,d\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\mathrm{atan}\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{64}\,b^8\,d^5+104857600\,A^4\,a^{62}\,b^{10}\,d^5+44302336\,A^4\,a^{60}\,b^{12}\,d^5+1629487104\,A^4\,a^{58}\,b^{14}\,d^5+17307795456\,A^4\,a^{56}\,b^{16}\,d^5+62081990656\,A^4\,a^{54}\,b^{18}\,d^5+74523344896\,A^4\,a^{52}\,b^{20}\,d^5-175655354368\,A^4\,a^{50}\,b^{22}\,d^5-943762440192\,A^4\,a^{48}\,b^{24}\,d^5-2094150975488\,A^4\,a^{46}\,b^{26}\,d^5-2962565365760\,A^4\,a^{44}\,b^{28}\,d^5-2923490705408\,A^4\,a^{42}\,b^{30}\,d^5-2054783238144\,A^4\,a^{40}\,b^{32}\,d^5-1011294928896\,A^4\,a^{38}\,b^{34}\,d^5-325864914944\,A^4\,a^{36}\,b^{36}\,d^5-54989422592\,A^4\,a^{34}\,b^{38}\,d^5+1411383296\,A^4\,a^{32}\,b^{40}\,d^5+2422210560\,A^4\,a^{30}\,b^{42}\,d^5+321126400\,A^4\,a^{28}\,b^{44}\,d^5+218103808\,A^3\,B\,a^{63}\,b^9\,d^5+874512384\,A^3\,B\,a^{61}\,b^{11}\,d^5-4628414464\,A^3\,B\,a^{59}\,b^{13}\,d^5-37419483136\,A^3\,B\,a^{57}\,b^{15}\,d^5-67249373184\,A^3\,B\,a^{55}\,b^{17}\,d^5+183016357888\,A^3\,B\,a^{53}\,b^{19}\,d^5+1259358650368\,A^3\,B\,a^{51}\,b^{21}\,d^5+3336906473472\,A^3\,B\,a^{49}\,b^{23}\,d^5+5404966780928\,A^3\,B\,a^{47}\,b^{25}\,d^5+5769036562432\,A^3\,B\,a^{45}\,b^{27}\,d^5+3885710180352\,A^3\,B\,a^{43}\,b^{29}\,d^5+1152106102784\,A^3\,B\,a^{41}\,b^{31}\,d^5-615843364864\,A^3\,B\,a^{39}\,b^{33}\,d^5-939509415936\,A^3\,B\,a^{37}\,b^{35}\,d^5-550328336384\,A^3\,B\,a^{35}\,b^{37}\,d^5-184945737728\,A^3\,B\,a^{33}\,b^{39}\,d^5-35074867200\,A^3\,B\,a^{31}\,b^{41}\,d^5-2936012800\,A^3\,B\,a^{29}\,b^{43}\,d^5+1023410176\,A^2\,B^2\,a^{62}\,b^{10}\,d^5+8872787968\,A^2\,B^2\,a^{60}\,b^{12}\,d^5+21875392512\,A^2\,B^2\,a^{58}\,b^{14}\,d^5-52598669312\,A^2\,B^2\,a^{56}\,b^{16}\,d^5-500252540928\,A^2\,B^2\,a^{54}\,b^{18}\,d^5-1579112464384\,A^2\,B^2\,a^{52}\,b^{20}\,d^5-2844864282624\,A^2\,B^2\,a^{50}\,b^{22}\,d^5-2951244414976\,A^2\,B^2\,a^{48}\,b^{24}\,d^5-932366516224\,A^2\,B^2\,a^{46}\,b^{26}\,d^5+2256018079744\,A^2\,B^2\,a^{44}\,b^{28}\,d^5+4360140488704\,A^2\,B^2\,a^{42}\,b^{30}\,d^5+4186857013248\,A^2\,B^2\,a^{40}\,b^{32}\,d^5+2584175706112\,A^2\,B^2\,a^{38}\,b^{34}\,d^5+1058131673088\,A^2\,B^2\,a^{36}\,b^{36}\,d^5+273177116672\,A^2\,B^2\,a^{34}\,b^{38}\,d^5+36924555264\,A^2\,B^2\,a^{32}\,b^{40}\,d^5+618659840\,A^2\,B^2\,a^{30}\,b^{42}\,d^5-321126400\,A^2\,B^2\,a^{28}\,b^{44}\,d^5-83886080\,A\,B^3\,a^{63}\,b^9\,d^5+534773760\,A\,B^3\,a^{61}\,b^{11}\,d^5+13170114560\,A\,B^3\,a^{59}\,b^{13}\,d^5+81621155840\,A\,B^3\,a^{57}\,b^{15}\,d^5+258956328960\,A\,B^3\,a^{55}\,b^{17}\,d^5+438933913600\,A\,B^3\,a^{53}\,b^{19}\,d^5+175573565440\,A\,B^3\,a^{51}\,b^{21}\,d^5-1043626721280\,A\,B^3\,a^{49}\,b^{23}\,d^5-3034914488320\,A\,B^3\,a^{47}\,b^{25}\,d^5-4657334190080\,A\,B^3\,a^{45}\,b^{27}\,d^5-4786288066560\,A\,B^3\,a^{43}\,b^{29}\,d^5-3473303142400\,A\,B^3\,a^{41}\,b^{31}\,d^5-1778636554240\,A\,B^3\,a^{39}\,b^{33}\,d^5-615681884160\,A\,B^3\,a^{37}\,b^{35}\,d^5-126919639040\,A\,B^3\,a^{35}\,b^{37}\,d^5-8640266240\,A\,B^3\,a^{33}\,b^{39}\,d^5+2013265920\,A\,B^3\,a^{31}\,b^{41}\,d^5+367001600\,A\,B^3\,a^{29}\,b^{43}\,d^5+8388608\,B^4\,a^{64}\,b^8\,d^5+12582912\,B^4\,a^{62}\,b^{10}\,d^5-75497472\,B^4\,a^{60}\,b^{12}\,d^5+2214592512\,B^4\,a^{58}\,b^{14}\,d^5+26013073408\,B^4\,a^{56}\,b^{16}\,d^5+131298492416\,B^4\,a^{54}\,b^{18}\,d^5+406872653824\,B^4\,a^{52}\,b^{20}\,d^5+868489363456\,B^4\,a^{50}\,b^{22}\,d^5+1344719028224\,B^4\,a^{48}\,b^{24}\,d^5+1546246946816\,B^4\,a^{46}\,b^{26}\,d^5+1327925035008\,B^4\,a^{44}\,b^{28}\,d^5+842753114112\,B^4\,a^{42}\,b^{30}\,d^5+382445027328\,B^4\,a^{40}\,b^{32}\,d^5+114621939712\,B^4\,a^{38}\,b^{34}\,d^5+17624465408\,B^4\,a^{36}\,b^{36}\,d^5-838860800\,B^4\,a^{34}\,b^{38}\,d^5-838860800\,B^4\,a^{32}\,b^{40}\,d^5-104857600\,B^4\,a^{30}\,b^{42}\,d^5\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1926758400\,A^3\,a^{29}\,b^{46}\,d^6-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(22934454272\,A\,a^{66}\,b^{14}\,d^8-587202560\,A\,a^{32}\,b^{48}\,d^8-11022630912\,A\,a^{34}\,b^{46}\,d^8-97861500928\,A\,a^{36}\,b^{44}\,d^8-545947385856\,A\,a^{38}\,b^{42}\,d^8-2144363085824\,A\,a^{40}\,b^{40}\,d^8-6296220729344\,A\,a^{42}\,b^{38}\,d^8-14318951202816\,A\,a^{44}\,b^{36}\,d^8-25781950480384\,A\,a^{46}\,b^{34}\,d^8-37240352800768\,A\,a^{48}\,b^{32}\,d^8-43440607854592\,A\,a^{50}\,b^{30}\,d^8-40962948595712\,A\,a^{52}\,b^{28}\,d^8-31071504695296\,A\,a^{54}\,b^{26}\,d^8-18723775709184\,A\,a^{56}\,b^{24}\,d^8-8746768007168\,A\,a^{58}\,b^{22}\,d^8-3015402586112\,A\,a^{60}\,b^{20}\,d^8-678671941632\,A\,a^{62}\,b^{18}\,d^8-53468987392\,A\,a^{64}\,b^{16}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(201326592\,a^{74}\,b^8\,d^9+3758096384\,a^{72}\,b^{10}\,d^9+33218887680\,a^{70}\,b^{12}\,d^9+184817811456\,a^{68}\,b^{14}\,d^9+725581037568\,a^{66}\,b^{16}\,d^9+2135672487936\,a^{64}\,b^{18}\,d^9+4887404347392\,a^{62}\,b^{20}\,d^9+8898635366400\,a^{60}\,b^{22}\,d^9+13080993988608\,a^{58}\,b^{24}\,d^9+15661598244864\,a^{56}\,b^{26}\,d^9+15335314948096\,a^{54}\,b^{28}\,d^9+12280116805632\,a^{52}\,b^{30}\,d^9+8008771829760\,a^{50}\,b^{32}\,d^9+4216584142848\,a^{48}\,b^{34}\,d^9+1766036865024\,a^{46}\,b^{36}\,d^9+574988746752\,a^{44}\,b^{38}\,d^9+140324634624\,a^{42}\,b^{40}\,d^9+24159191040\,a^{40}\,b^{42}\,d^9+2617245696\,a^{38}\,b^{44}\,d^9+134217728\,a^{36}\,b^{46}\,d^9\right)+9378463744\,A\,a^{68}\,b^{12}\,d^8+1526726656\,A\,a^{70}\,b^{10}\,d^8+100663296\,A\,a^{72}\,b^8\,d^8+335544320\,B\,a^{33}\,b^{47}\,d^8+6375342080\,B\,a^{35}\,b^{45}\,d^8+57411633152\,B\,a^{37}\,b^{43}\,d^8+325578653696\,B\,a^{39}\,b^{41}\,d^8+1302985703424\,B\,a^{41}\,b^{39}\,d^8+3908420239360\,B\,a^{43}\,b^{37}\,d^8+9108686110720\,B\,a^{45}\,b^{35}\,d^8+16870765756416\,B\,a^{47}\,b^{33}\,d^8+25190117408768\,B\,a^{49}\,b^{31}\,d^8+30574664220672\,B\,a^{51}\,b^{29}\,d^8+30277170626560\,B\,a^{53}\,b^{27}\,d^8+24449436876800\,B\,a^{55}\,b^{25}\,d^8+16024522981376\,B\,a^{57}\,b^{23}\,d^8+8444442574848\,B\,a^{59}\,b^{21}\,d^8+3523081142272\,B\,a^{61}\,b^{19}\,d^8+1136153067520\,B\,a^{63}\,b^{17}\,d^8+272797532160\,B\,a^{65}\,b^{15}\,d^8+45835354112\,B\,a^{67}\,b^{13}\,d^8+4798283776\,B\,a^{69}\,b^{11}\,d^8+234881024\,B\,a^{71}\,b^9\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{69}\,b^8\,d^7+1023410176\,A^2\,a^{67}\,b^{10}\,d^7-1836056576\,A^2\,a^{65}\,b^{12}\,d^7-46722449408\,A^2\,a^{63}\,b^{14}\,d^7-242161287168\,A^2\,a^{61}\,b^{16}\,d^7-650033233920\,A^2\,a^{59}\,b^{18}\,d^7-795219066880\,A^2\,a^{57}\,b^{20}\,d^7+916161822720\,A^2\,a^{55}\,b^{22}\,d^7+6756256186368\,A^2\,a^{53}\,b^{24}\,d^7+17505665941504\,A^2\,a^{51}\,b^{26}\,d^7+30191101411328\,A^2\,a^{49}\,b^{28}\,d^7+38856883699712\,A^2\,a^{47}\,b^{30}\,d^7+38845460512768\,A^2\,a^{45}\,b^{32}\,d^7+30611456655360\,A^2\,a^{43}\,b^{34}\,d^7+19041104166912\,A^2\,a^{41}\,b^{36}\,d^7+9267725729792\,A^2\,a^{39}\,b^{38}\,d^7+3462049824768\,A^2\,a^{37}\,b^{40}\,d^7+959522537472\,A^2\,a^{35}\,b^{42}\,d^7+186026819584\,A^2\,a^{33}\,b^{44}\,d^7+22533898240\,A^2\,a^{31}\,b^{46}\,d^7+1284505600\,A^2\,a^{29}\,b^{48}\,d^7+1140850688\,A\,B\,a^{68}\,b^9\,d^7+14369685504\,A\,B\,a^{66}\,b^{11}\,d^7+77661732864\,A\,B\,a^{64}\,b^{13}\,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-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1926758400\,A^3\,a^{29}\,b^{46}\,d^6-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(201326592\,a^{74}\,b^8\,d^9+3758096384\,a^{72}\,b^{10}\,d^9+33218887680\,a^{70}\,b^{12}\,d^9+184817811456\,a^{68}\,b^{14}\,d^9+725581037568\,a^{66}\,b^{16}\,d^9+2135672487936\,a^{64}\,b^{18}\,d^9+4887404347392\,a^{62}\,b^{20}\,d^9+8898635366400\,a^{60}\,b^{22}\,d^9+13080993988608\,a^{58}\,b^{24}\,d^9+15661598244864\,a^{56}\,b^{26}\,d^9+15335314948096\,a^{54}\,b^{28}\,d^9+12280116805632\,a^{52}\,b^{30}\,d^9+8008771829760\,a^{50}\,b^{32}\,d^9+4216584142848\,a^{48}\,b^{34}\,d^9+1766036865024\,a^{46}\,b^{36}\,d^9+574988746752\,a^{44}\,b^{38}\,d^9+140324634624\,a^{42}\,b^{40}\,d^9+24159191040\,a^{40}\,b^{42}\,d^9+2617245696\,a^{38}\,b^{44}\,d^9+134217728\,a^{36}\,b^{46}\,d^9\right)-587202560\,A\,a^{32}\,b^{48}\,d^8-11022630912\,A\,a^{34}\,b^{46}\,d^8-97861500928\,A\,a^{36}\,b^{44}\,d^8-545947385856\,A\,a^{38}\,b^{42}\,d^8-2144363085824\,A\,a^{40}\,b^{40}\,d^8-6296220729344\,A\,a^{42}\,b^{38}\,d^8-14318951202816\,A\,a^{44}\,b^{36}\,d^8-25781950480384\,A\,a^{46}\,b^{34}\,d^8-37240352800768\,A\,a^{48}\,b^{32}\,d^8-43440607854592\,A\,a^{50}\,b^{30}\,d^8-40962948595712\,A\,a^{52}\,b^{28}\,d^8-31071504695296\,A\,a^{54}\,b^{26}\,d^8-18723775709184\,A\,a^{56}\,b^{24}\,d^8-8746768007168\,A\,a^{58}\,b^{22}\,d^8-3015402586112\,A\,a^{60}\,b^{20}\,d^8-678671941632\,A\,a^{62}\,b^{18}\,d^8-53468987392\,A\,a^{64}\,b^{16}\,d^8+22934454272\,A\,a^{66}\,b^{14}\,d^8+9378463744\,A\,a^{68}\,b^{12}\,d^8+1526726656\,A\,a^{70}\,b^{10}\,d^8+100663296\,A\,a^{72}\,b^8\,d^8+335544320\,B\,a^{33}\,b^{47}\,d^8+6375342080\,B\,a^{35}\,b^{45}\,d^8+57411633152\,B\,a^{37}\,b^{43}\,d^8+325578653696\,B\,a^{39}\,b^{41}\,d^8+1302985703424\,B\,a^{41}\,b^{39}\,d^8+3908420239360\,B\,a^{43}\,b^{37}\,d^8+9108686110720\,B\,a^{45}\,b^{35}\,d^8+16870765756416\,B\,a^{47}\,b^{33}\,d^8+25190117408768\,B\,a^{49}\,b^{31}\,d^8+30574664220672\,B\,a^{51}\,b^{29}\,d^8+30277170626560\,B\,a^{53}\,b^{27}\,d^8+24449436876800\,B\,a^{55}\,b^{25}\,d^8+16024522981376\,B\,a^{57}\,b^{23}\,d^8+8444442574848\,B\,a^{59}\,b^{21}\,d^8+3523081142272\,B\,a^{61}\,b^{19}\,d^8+1136153067520\,B\,a^{63}\,b^{17}\,d^8+272797532160\,B\,a^{65}\,b^{15}\,d^8+45835354112\,B\,a^{67}\,b^{13}\,d^8+4798283776\,B\,a^{69}\,b^{11}\,d^8+234881024\,B\,a^{71}\,b^9\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{69}\,b^8\,d^7+1023410176\,A^2\,a^{67}\,b^{10}\,d^7-1836056576\,A^2\,a^{65}\,b^{12}\,d^7-46722449408\,A^2\,a^{63}\,b^{14}\,d^7-242161287168\,A^2\,a^{61}\,b^{16}\,d^7-650033233920\,A^2\,a^{59}\,b^{18}\,d^7-795219066880\,A^2\,a^{57}\,b^{20}\,d^7+916161822720\,A^2\,a^{55}\,b^{22}\,d^7+6756256186368\,A^2\,a^{53}\,b^{24}\,d^7+17505665941504\,A^2\,a^{51}\,b^{26}\,d^7+30191101411328\,A^2\,a^{49}\,b^{28}\,d^7+38856883699712\,A^2\,a^{47}\,b^{30}\,d^7+38845460512768\,A^2\,a^{45}\,b^{32}\,d^7+30611456655360\,A^2\,a^{43}\,b^{34}\,d^7+19041104166912\,A^2\,a^{41}\,b^{36}\,d^7+9267725729792\,A^2\,a^{39}\,b^{38}\,d^7+3462049824768\,A^2\,a^{37}\,b^{40}\,d^7+959522537472\,A^2\,a^{35}\,b^{42}\,d^7+186026819584\,A^2\,a^{33}\,b^{44}\,d^7+22533898240\,A^2\,a^{31}\,b^{46}\,d^7+1284505600\,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\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1926758400\,A^3\,a^{29}\,b^{46}\,d^6-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(22934454272\,A\,a^{66}\,b^{14}\,d^8-587202560\,A\,a^{32}\,b^{48}\,d^8-11022630912\,A\,a^{34}\,b^{46}\,d^8-97861500928\,A\,a^{36}\,b^{44}\,d^8-545947385856\,A\,a^{38}\,b^{42}\,d^8-2144363085824\,A\,a^{40}\,b^{40}\,d^8-6296220729344\,A\,a^{42}\,b^{38}\,d^8-14318951202816\,A\,a^{44}\,b^{36}\,d^8-25781950480384\,A\,a^{46}\,b^{34}\,d^8-37240352800768\,A\,a^{48}\,b^{32}\,d^8-43440607854592\,A\,a^{50}\,b^{30}\,d^8-40962948595712\,A\,a^{52}\,b^{28}\,d^8-31071504695296\,A\,a^{54}\,b^{26}\,d^8-18723775709184\,A\,a^{56}\,b^{24}\,d^8-8746768007168\,A\,a^{58}\,b^{22}\,d^8-3015402586112\,A\,a^{60}\,b^{20}\,d^8-678671941632\,A\,a^{62}\,b^{18}\,d^8-53468987392\,A\,a^{64}\,b^{16}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(201326592\,a^{74}\,b^8\,d^9+3758096384\,a^{72}\,b^{10}\,d^9+33218887680\,a^{70}\,b^{12}\,d^9+184817811456\,a^{68}\,b^{14}\,d^9+725581037568\,a^{66}\,b^{16}\,d^9+2135672487936\,a^{64}\,b^{18}\,d^9+4887404347392\,a^{62}\,b^{20}\,d^9+8898635366400\,a^{60}\,b^{22}\,d^9+13080993988608\,a^{58}\,b^{24}\,d^9+15661598244864\,a^{56}\,b^{26}\,d^9+15335314948096\,a^{54}\,b^{28}\,d^9+12280116805632\,a^{52}\,b^{30}\,d^9+8008771829760\,a^{50}\,b^{32}\,d^9+4216584142848\,a^{48}\,b^{34}\,d^9+1766036865024\,a^{46}\,b^{36}\,d^9+574988746752\,a^{44}\,b^{38}\,d^9+140324634624\,a^{42}\,b^{40}\,d^9+24159191040\,a^{40}\,b^{42}\,d^9+2617245696\,a^{38}\,b^{44}\,d^9+134217728\,a^{36}\,b^{46}\,d^9\right)+9378463744\,A\,a^{68}\,b^{12}\,d^8+1526726656\,A\,a^{70}\,b^{10}\,d^8+100663296\,A\,a^{72}\,b^8\,d^8+335544320\,B\,a^{33}\,b^{47}\,d^8+6375342080\,B\,a^{35}\,b^{45}\,d^8+57411633152\,B\,a^{37}\,b^{43}\,d^8+325578653696\,B\,a^{39}\,b^{41}\,d^8+1302985703424\,B\,a^{41}\,b^{39}\,d^8+3908420239360\,B\,a^{43}\,b^{37}\,d^8+9108686110720\,B\,a^{45}\,b^{35}\,d^8+16870765756416\,B\,a^{47}\,b^{33}\,d^8+25190117408768\,B\,a^{49}\,b^{31}\,d^8+30574664220672\,B\,a^{51}\,b^{29}\,d^8+30277170626560\,B\,a^{53}\,b^{27}\,d^8+24449436876800\,B\,a^{55}\,b^{25}\,d^8+16024522981376\,B\,a^{57}\,b^{23}\,d^8+8444442574848\,B\,a^{59}\,b^{21}\,d^8+3523081142272\,B\,a^{61}\,b^{19}\,d^8+1136153067520\,B\,a^{63}\,b^{17}\,d^8+272797532160\,B\,a^{65}\,b^{15}\,d^8+45835354112\,B\,a^{67}\,b^{13}\,d^8+4798283776\,B\,a^{69}\,b^{11}\,d^8+234881024\,B\,a^{71}\,b^9\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{69}\,b^8\,d^7+1023410176\,A^2\,a^{67}\,b^{10}\,d^7-1836056576\,A^2\,a^{65}\,b^{12}\,d^7-46722449408\,A^2\,a^{63}\,b^{14}\,d^7-242161287168\,A^2\,a^{61}\,b^{16}\,d^7-650033233920\,A^2\,a^{59}\,b^{18}\,d^7-795219066880\,A^2\,a^{57}\,b^{20}\,d^7+916161822720\,A^2\,a^{55}\,b^{22}\,d^7+6756256186368\,A^2\,a^{53}\,b^{24}\,d^7+17505665941504\,A^2\,a^{51}\,b^{26}\,d^7+30191101411328\,A^2\,a^{49}\,b^{28}\,d^7+38856883699712\,A^2\,a^{47}\,b^{30}\,d^7+38845460512768\,A^2\,a^{45}\,b^{32}\,d^7+30611456655360\,A^2\,a^{43}\,b^{34}\,d^7+19041104166912\,A^2\,a^{41}\,b^{36}\,d^7+9267725729792\,A^2\,a^{39}\,b^{38}\,d^7+3462049824768\,A^2\,a^{37}\,b^{40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\,b^{42}\,d^5\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1926758400\,A^3\,a^{29}\,b^{46}\,d^6-\left(\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(201326592\,a^{74}\,b^8\,d^9+3758096384\,a^{72}\,b^{10}\,d^9+33218887680\,a^{70}\,b^{12}\,d^9+184817811456\,a^{68}\,b^{14}\,d^9+725581037568\,a^{66}\,b^{16}\,d^9+2135672487936\,a^{64}\,b^{18}\,d^9+4887404347392\,a^{62}\,b^{20}\,d^9+8898635366400\,a^{60}\,b^{22}\,d^9+13080993988608\,a^{58}\,b^{24}\,d^9+15661598244864\,a^{56}\,b^{26}\,d^9+15335314948096\,a^{54}\,b^{28}\,d^9+12280116805632\,a^{52}\,b^{30}\,d^9+8008771829760\,a^{50}\,b^{32}\,d^9+4216584142848\,a^{48}\,b^{34}\,d^9+1766036865024\,a^{46}\,b^{36}\,d^9+574988746752\,a^{44}\,b^{38}\,d^9+140324634624\,a^{42}\,b^{40}\,d^9+24159191040\,a^{40}\,b^{42}\,d^9+2617245696\,a^{38}\,b^{44}\,d^9+134217728\,a^{36}\,b^{46}\,d^9\right)-587202560\,A\,a^{32}\,b^{48}\,d^8-11022630912\,A\,a^{34}\,b^{46}\,d^8-97861500928\,A\,a^{36}\,b^{44}\,d^8-545947385856\,A\,a^{38}\,b^{42}\,d^8-2144363085824\,A\,a^{40}\,b^{40}\,d^8-6296220729344\,A\,a^{42}\,b^{38}\,d^8-14318951202816\,A\,a^{44}\,b^{36}\,d^8-25781950480384\,A\,a^{46}\,b^{34}\,d^8-37240352800768\,A\,a^{48}\,b^{32}\,d^8-43440607854592\,A\,a^{50}\,b^{30}\,d^8-40962948595712\,A\,a^{52}\,b^{28}\,d^8-31071504695296\,A\,a^{54}\,b^{26}\,d^8-18723775709184\,A\,a^{56}\,b^{24}\,d^8-8746768007168\,A\,a^{58}\,b^{22}\,d^8-3015402586112\,A\,a^{60}\,b^{20}\,d^8-678671941632\,A\,a^{62}\,b^{18}\,d^8-53468987392\,A\,a^{64}\,b^{16}\,d^8+22934454272\,A\,a^{66}\,b^{14}\,d^8+9378463744\,A\,a^{68}\,b^{12}\,d^8+1526726656\,A\,a^{70}\,b^{10}\,d^8+100663296\,A\,a^{72}\,b^8\,d^8+335544320\,B\,a^{33}\,b^{47}\,d^8+6375342080\,B\,a^{35}\,b^{45}\,d^8+57411633152\,B\,a^{37}\,b^{43}\,d^8+325578653696\,B\,a^{39}\,b^{41}\,d^8+1302985703424\,B\,a^{41}\,b^{39}\,d^8+3908420239360\,B\,a^{43}\,b^{37}\,d^8+9108686110720\,B\,a^{45}\,b^{35}\,d^8+16870765756416\,B\,a^{47}\,b^{33}\,d^8+25190117408768\,B\,a^{49}\,b^{31}\,d^8+30574664220672\,B\,a^{51}\,b^{29}\,d^8+30277170626560\,B\,a^{53}\,b^{27}\,d^8+24449436876800\,B\,a^{55}\,b^{25}\,d^8+16024522981376\,B\,a^{57}\,b^{23}\,d^8+8444442574848\,B\,a^{59}\,b^{21}\,d^8+3523081142272\,B\,a^{61}\,b^{19}\,d^8+1136153067520\,B\,a^{63}\,b^{17}\,d^8+272797532160\,B\,a^{65}\,b^{15}\,d^8+45835354112\,B\,a^{67}\,b^{13}\,d^8+4798283776\,B\,a^{69}\,b^{11}\,d^8+234881024\,B\,a^{71}\,b^9\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{69}\,b^8\,d^7+1023410176\,A^2\,a^{67}\,b^{10}\,d^7-1836056576\,A^2\,a^{65}\,b^{12}\,d^7-46722449408\,A^2\,a^{63}\,b^{14}\,d^7-242161287168\,A^2\,a^{61}\,b^{16}\,d^7-650033233920\,A^2\,a^{59}\,b^{18}\,d^7-795219066880\,A^2\,a^{57}\,b^{20}\,d^7+916161822720\,A^2\,a^{55}\,b^{22}\,d^7+6756256186368\,A^2\,a^{53}\,b^{24}\,d^7+17505665941504\,A^2\,a^{51}\,b^{26}\,d^7+30191101411328\,A^2\,a^{49}\,b^{28}\,d^7+38856883699712\,A^2\,a^{47}\,b^{30}\,d^7+38845460512768\,A^2\,a^{45}\,b^{32}\,d^7+30611456655360\,A^2\,a^{43}\,b^{34}\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7200\,A^3\,B^2\,a^{38}\,b^{32}\,d^4-1456950476800\,A^3\,B^2\,a^{40}\,b^{30}\,d^4-1720597086208\,A^3\,B^2\,a^{42}\,b^{28}\,d^4-1502650040320\,A^3\,B^2\,a^{44}\,b^{26}\,d^4-929105182720\,A^3\,B^2\,a^{46}\,b^{24}\,d^4-353311129600\,A^3\,B^2\,a^{48}\,b^{22}\,d^4-26359889920\,A^3\,B^2\,a^{50}\,b^{20}\,d^4+58278019072\,A^3\,B^2\,a^{52}\,b^{18}\,d^4+38085591040\,A^3\,B^2\,a^{54}\,b^{16}\,d^4+11661475840\,A^3\,B^2\,a^{56}\,b^{14}\,d^4+1684275200\,A^3\,B^2\,a^{58}\,b^{12}\,d^4+20971520\,A^3\,B^2\,a^{60}\,b^{10}\,d^4-16777216\,A^3\,B^2\,a^{62}\,b^8\,d^4}\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}-4\,A^2\,a^5\,d^2+4\,B^2\,a^5\,d^2+40\,A^2\,a^3\,b^2\,d^2-40\,B^2\,a^3\,b^2\,d^2-8\,A\,B\,b^5\,d^2-20\,A^2\,a\,b^4\,d^2+20\,B^2\,a\,b^4\,d^2+80\,A\,B\,a^2\,b^3\,d^2-40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(25165824\,A^4\,a^{64}\,b^8\,d^5+104857600\,A^4\,a^{62}\,b^{10}\,d^5+44302336\,A^4\,a^{60}\,b^{12}\,d^5+1629487104\,A^4\,a^{58}\,b^{14}\,d^5+17307795456\,A^4\,a^{56}\,b^{16}\,d^5+62081990656\,A^4\,a^{54}\,b^{18}\,d^5+74523344896\,A^4\,a^{52}\,b^{20}\,d^5-175655354368\,A^4\,a^{50}\,b^{22}\,d^5-943762440192\,A^4\,a^{48}\,b^{24}\,d^5-2094150975488\,A^4\,a^{46}\,b^{26}\,d^5-2962565365760\,A^4\,a^{44}\,b^{28}\,d^5-2923490705408\,A^4\,a^{42}\,b^{30}\,d^5-2054783238144\,A^4\,a^{40}\,b^{32}\,d^5-1011294928896\,A^4\,a^{38}\,b^{34}\,d^5-325864914944\,A^4\,a^{36}\,b^{36}\,d^5-54989422592\,A^4\,a^{34}\,b^{38}\,d^5+1411383296\,A^4\,a^{32}\,b^{40}\,d^5+2422210560\,A^4\,a^{30}\,b^{42}\,d^5+321126400\,A^4\,a^{28}\,b^{44}\,d^5+218103808\,A^3\,B\,a^{63}\,b^9\,d^5+874512384\,A^3\,B\,a^{61}\,b^{11}\,d^5-4628414464\,A^3\,B\,a^{59}\,b^{13}\,d^5-37419483136\,A^3\,B\,a^{57}\,b^{15}\,d^5-67249373184\,A^3\,B\,a^{55}\,b^{17}\,d^5+183016357888\,A^3\,B\,a^{53}\,b^{19}\,d^5+1259358650368\,A^3\,B\,a^{51}\,b^{21}\,d^5+3336906473472\,A^3\,B\,a^{49}\,b^{23}\,d^5+5404966780928\,A^3\,B\,a^{47}\,b^{25}\,d^5+5769036562432\,A^3\,B\,a^{45}\,b^{27}\,d^5+3885710180352\,A^3\,B\,a^{43}\,b^{29}\,d^5+1152106102784\,A^3\,B\,a^{41}\,b^{31}\,d^5-615843364864\,A^3\,B\,a^{39}\,b^{33}\,d^5-939509415936\,A^3\,B\,a^{37}\,b^{35}\,d^5-550328336384\,A^3\,B\,a^{35}\,b^{37}\,d^5-184945737728\,A^3\,B\,a^{33}\,b^{39}\,d^5-35074867200\,A^3\,B\,a^{31}\,b^{41}\,d^5-2936012800\,A^3\,B\,a^{29}\,b^{43}\,d^5+1023410176\,A^2\,B^2\,a^{62}\,b^{10}\,d^5+8872787968\,A^2\,B^2\,a^{60}\,b^{12}\,d^5+21875392512\,A^2\,B^2\,a^{58}\,b^{14}\,d^5-52598669312\,A^2\,B^2\,a^{56}\,b^{16}\,d^5-500252540928\,A^2\,B^2\,a^{54}\,b^{18}\,d^5-1579112464384\,A^2\,B^2\,a^{52}\,b^{20}\,d^5-2844864282624\,A^2\,B^2\,a^{50}\,b^{22}\,d^5-2951244414976\,A^2\,B^2\,a^{48}\,b^{24}\,d^5-932366516224\,A^2\,B^2\,a^{46}\,b^{26}\,d^5+2256018079744\,A^2\,B^2\,a^{44}\,b^{28}\,d^5+4360140488704\,A^2\,B^2\,a^{42}\,b^{30}\,d^5+4186857013248\,A^2\,B^2\,a^{40}\,b^{32}\,d^5+2584175706112\,A^2\,B^2\,a^{38}\,b^{34}\,d^5+1058131673088\,A^2\,B^2\,a^{36}\,b^{36}\,d^5+273177116672\,A^2\,B^2\,a^{34}\,b^{38}\,d^5+36924555264\,A^2\,B^2\,a^{32}\,b^{40}\,d^5+618659840\,A^2\,B^2\,a^{30}\,b^{42}\,d^5-321126400\,A^2\,B^2\,a^{28}\,b^{44}\,d^5-83886080\,A\,B^3\,a^{63}\,b^9\,d^5+534773760\,A\,B^3\,a^{61}\,b^{11}\,d^5+13170114560\,A\,B^3\,a^{59}\,b^{13}\,d^5+81621155840\,A\,B^3\,a^{57}\,b^{15}\,d^5+258956328960\,A\,B^3\,a^{55}\,b^{17}\,d^5+438933913600\,A\,B^3\,a^{53}\,b^{19}\,d^5+175573565440\,A\,B^3\,a^{51}\,b^{21}\,d^5-1043626721280\,A\,B^3\,a^{49}\,b^{23}\,d^5-3034914488320\,A\,B^3\,a^{47}\,b^{25}\,d^5-4657334190080\,A\,B^3\,a^{45}\,b^{27}\,d^5-4786288066560\,A\,B^3\,a^{43}\,b^{29}\,d^5-3473303142400\,A\,B^3\,a^{41}\,b^{31}\,d^5-1778636554240\,A\,B^3\,a^{39}\,b^{33}\,d^5-615681884160\,A\,B^3\,a^{37}\,b^{35}\,d^5-126919639040\,A\,B^3\,a^{35}\,b^{37}\,d^5-8640266240\,A\,B^3\,a^{33}\,b^{39}\,d^5+2013265920\,A\,B^3\,a^{31}\,b^{41}\,d^5+367001600\,A\,B^3\,a^{29}\,b^{43}\,d^5+8388608\,B^4\,a^{64}\,b^8\,d^5+12582912\,B^4\,a^{62}\,b^{10}\,d^5-75497472\,B^4\,a^{60}\,b^{12}\,d^5+2214592512\,B^4\,a^{58}\,b^{14}\,d^5+26013073408\,B^4\,a^{56}\,b^{16}\,d^5+131298492416\,B^4\,a^{54}\,b^{18}\,d^5+406872653824\,B^4\,a^{52}\,b^{20}\,d^5+868489363456\,B^4\,a^{50}\,b^{22}\,d^5+1344719028224\,B^4\,a^{48}\,b^{24}\,d^5+1546246946816\,B^4\,a^{46}\,b^{26}\,d^5+1327925035008\,B^4\,a^{44}\,b^{28}\,d^5+842753114112\,B^4\,a^{42}\,b^{30}\,d^5+382445027328\,B^4\,a^{40}\,b^{32}\,d^5+114621939712\,B^4\,a^{38}\,b^{34}\,d^5+17624465408\,B^4\,a^{36}\,b^{36}\,d^5-838860800\,B^4\,a^{34}\,b^{38}\,d^5-838860800\,B^4\,a^{32}\,b^{40}\,d^5-104857600\,B^4\,a^{30}\,b^{42}\,d^5\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(1926758400\,A^3\,a^{29}\,b^{46}\,d^6-\left(\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(22934454272\,A\,a^{66}\,b^{14}\,d^8-587202560\,A\,a^{32}\,b^{48}\,d^8-11022630912\,A\,a^{34}\,b^{46}\,d^8-97861500928\,A\,a^{36}\,b^{44}\,d^8-545947385856\,A\,a^{38}\,b^{42}\,d^8-2144363085824\,A\,a^{40}\,b^{40}\,d^8-6296220729344\,A\,a^{42}\,b^{38}\,d^8-14318951202816\,A\,a^{44}\,b^{36}\,d^8-25781950480384\,A\,a^{46}\,b^{34}\,d^8-37240352800768\,A\,a^{48}\,b^{32}\,d^8-43440607854592\,A\,a^{50}\,b^{30}\,d^8-40962948595712\,A\,a^{52}\,b^{28}\,d^8-31071504695296\,A\,a^{54}\,b^{26}\,d^8-18723775709184\,A\,a^{56}\,b^{24}\,d^8-8746768007168\,A\,a^{58}\,b^{22}\,d^8-3015402586112\,A\,a^{60}\,b^{20}\,d^8-678671941632\,A\,a^{62}\,b^{18}\,d^8-53468987392\,A\,a^{64}\,b^{16}\,d^8-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,A^2\,a^5\,d^2-80\,A^2\,a^3\,b^2\,d^2+40\,A^2\,a\,b^4\,d^2+80\,A\,B\,a^4\,b\,d^2-160\,A\,B\,a^2\,b^3\,d^2+16\,A\,B\,b^5\,d^2-8\,B^2\,a^5\,d^2+80\,B^2\,a^3\,b^2\,d^2-40\,B^2\,a\,b^4\,d^2\right)}^2}{4}-\left(A^4+2\,A^2\,B^2+B^4\right)\,\left(16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)}+4\,A^2\,a^5\,d^2-4\,B^2\,a^5\,d^2-40\,A^2\,a^3\,b^2\,d^2+40\,B^2\,a^3\,b^2\,d^2+8\,A\,B\,b^5\,d^2+20\,A^2\,a\,b^4\,d^2-20\,B^2\,a\,b^4\,d^2-80\,A\,B\,a^2\,b^3\,d^2+40\,A\,B\,a^4\,b\,d^2}{16\,\left(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\right)}}\,\left(201326592\,a^{74}\,b^8\,d^9+3758096384\,a^{72}\,b^{10}\,d^9+33218887680\,a^{70}\,b^{12}\,d^9+184817811456\,a^{68}\,b^{14}\,d^9+725581037568\,a^{66}\,b^{16}\,d^9+2135672487936\,a^{64}\,b^{18}\,d^9+4887404347392\,a^{62}\,b^{20}\,d^9+8898635366400\,a^{60}\,b^{22}\,d^9+13080993988608\,a^{58}\,b^{24}\,d^9+15661598244864\,a^{56}\,b^{26}\,d^9+15335314948096\,a^{54}\,b^{28}\,d^9+12280116805632\,a^{52}\,b^{30}\,d^9+8008771829760\,a^{50}\,b^{32}\,d^9+4216584142848\,a^{48}\,b^{34}\,d^9+1766036865024\,a^{46}\,b^{36}\,d^9+574988746752\,a^{44}\,b^{38}\,d^9+140324634624\,a^{42}\,b^{40}\,d^9+24159191040\,a^{40}\,b^{42}\,d^9+2617245696\,a^{38}\,b^{44}\,d^9+134217728\,a^{36}\,b^{46}\,d^9\right)+9378463744\,A\,a^{68}\,b^{12}\,d^8+1526726656\,A\,a^{70}\,b^{10}\,d^8+100663296\,A\,a^{72}\,b^8\,d^8+335544320\,B\,a^{33}\,b^{47}\,d^8+6375342080\,B\,a^{35}\,b^{45}\,d^8+57411633152\,B\,a^{37}\,b^{43}\,d^8+325578653696\,B\,a^{39}\,b^{41}\,d^8+1302985703424\,B\,a^{41}\,b^{39}\,d^8+3908420239360\,B\,a^{43}\,b^{37}\,d^8+9108686110720\,B\,a^{45}\,b^{35}\,d^8+16870765756416\,B\,a^{47}\,b^{33}\,d^8+25190117408768\,B\,a^{49}\,b^{31}\,d^8+30574664220672\,B\,a^{51}\,b^{29}\,d^8+30277170626560\,B\,a^{53}\,b^{27}\,d^8+24449436876800\,B\,a^{55}\,b^{25}\,d^8+16024522981376\,B\,a^{57}\,b^{23}\,d^8+8444442574848\,B\,a^{59}\,b^{21}\,d^8+3523081142272\,B\,a^{61}\,b^{19}\,d^8+1136153067520\,B\,a^{63}\,b^{17}\,d^8+272797532160\,B\,a^{65}\,b^{15}\,d^8+45835354112\,B\,a^{67}\,b^{13}\,d^8+4798283776\,B\,a^{69}\,b^{11}\,d^8+234881024\,B\,a^{71}\,b^9\,d^8\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(150994944\,A^2\,a^{69}\,b^8\,d^7+1023410176\,A^2\,a^{67}\,b^{10}\,d^7-1836056576\,A^2\,a^{65}\,b^{12}\,d^7-46722449408\,A^2\,a^{63}\,b^{14}\,d^7-242161287168\,A^2\,a^{61}\,b^{16}\,d^7-650033233920\,A^2\,a^{59}\,b^{18}\,d^7-795219066880\,A^2\,a^{57}\,b^{20}\,d^7+916161822720\,A^2\,a^{55}\,b^{22}\,d^7+6756256186368\,A^2\,a^{53}\,b^{24}\,d^7+17505665941504\,A^2\,a^{51}\,b^{26}\,d^7+30191101411328\,A^2\,a^{49}\,b^{28}\,d^7+38856883699712\,A^2\,a^{47}\,b^{30}\,d^7+38845460512768\,A^2\,a^{45}\,b^{32}\,d^7+30611456655360\,A^2\,a^{43}\,b^{34}\,d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,A\,B^2\,a^{49}\,b^{26}\,d^6+5232855613440\,A\,B^2\,a^{51}\,b^{24}\,d^6+2292816281600\,A\,B^2\,a^{53}\,b^{22}\,d^6+1035531714560\,A\,B^2\,a^{55}\,b^{20}\,d^6+547801268224\,A\,B^2\,a^{57}\,b^{18}\,d^6+260340449280\,A\,B^2\,a^{59}\,b^{16}\,d^6+84452311040\,A\,B^2\,a^{61}\,b^{14}\,d^6+15204352000\,A\,B^2\,a^{63}\,b^{12}\,d^6+880803840\,A\,B^2\,a^{65}\,b^{10}\,d^6-75497472\,A\,B^2\,a^{67}\,b^8\,d^6+642252800\,A^2\,B\,a^{28}\,b^{47}\,d^6+5853675520\,A^2\,B\,a^{30}\,b^{45}\,d^6+7876902912\,A^2\,B\,a^{32}\,b^{43}\,d^6-138240065536\,A^2\,B\,a^{34}\,b^{41}\,d^6-1017280200704\,A^2\,B\,a^{36}\,b^{39}\,d^6-3744022396928\,A^2\,B\,a^{38}\,b^{37}\,d^6-9034669228032\,A^2\,B\,a^{40}\,b^{35}\,d^6-15573756936192\,A^2\,B\,a^{42}\,b^{33}\,d^6-19990100049920\,A^2\,B\,a^{44}\,b^{31}\,d^6-19663216967680\,A^2\,B\,a^{46}\,b^{29}\,d^6-15338313875456\,A^2\,B\,a^{48}\,b^{27}\,d^6-10040245223424\,A^2\,B\,a^{50}\,b^{25}\,d^6-5936376709120\,A^2\,B\,a^{52}\,b^{23}\,d^6-3256963039232\,A^2\,B\,a^{54}\,b^{21}\,d^6-1533802446848\,A^2\,B\,a^{56}\,b^{19}\,d^6-534383689728\,A^2\,B\,a^{58}\,b^{17}\,d^6-109743439872\,A^2\,B\,a^{60}\,b^{15}\,d^6-3935830016\,A^2\,B\,a^{62}\,b^{13}\,d^6+3409969152\,A^2\,B\,a^{64}\,b^{11}\,d^6+553648128\,A^2\,B\,a^{66}\,b^9\,d^6\right)}{8\,a^9\,d}\right)\,\sqrt{64\,A^2\,a^{13}-560\,A^2\,a^{11}\,b^2+1225\,A^2\,a^9\,b^4+320\,A\,B\,a^{12}\,b-1400\,A\,B\,a^{10}\,b^3+400\,B^2\,a^{11}\,b^2}}{8\,a^9\,d}-321126400\,A^5\,a^{28}\,b^{42}\,d^4-4027842560\,A^5\,a^{30}\,b^{40}\,d^4-22761701376\,A^5\,a^{32}\,b^{38}\,d^4-75571134464\,A^5\,a^{34}\,b^{36}\,d^4-159328239616\,A^5\,a^{36}\,b^{34}\,d^4-207324708864\,A^5\,a^{38}\,b^{32}\,d^4-117820358656\,A^5\,a^{40}\,b^{30}\,d^4+122543669248\,A^5\,a^{42}\,b^{28}\,d^4+370779881472\,A^5\,a^{44}\,b^{26}\,d^4+452800544768\,A^5\,a^{46}\,b^{24}\,d^4+344539267072\,A^5\,a^{48}\,b^{22}\,d^4+170969530368\,A^5\,a^{50}\,b^{20}\,d^4+50835226624\,A^5\,a^{52}\,b^{18}\,d^4+5260967936\,A^5\,a^{54}\,b^{16}\,d^4-1976303616\,A^5\,a^{56}\,b^{14}\,d^4-794558464\,A^5\,a^{58}\,b^{12}\,d^4-90177536\,A^5\,a^{60}\,b^{10}\,d^4+209715200\,B^5\,a^{31}\,b^{39}\,d^4+2894069760\,B^5\,a^{33}\,b^{37}\,d^4+18496880640\,B^5\,a^{35}\,b^{35}\,d^4+72519516160\,B^5\,a^{37}\,b^{33}\,d^4+194657648640\,B^5\,a^{39}\,b^{31}\,d^4+377864847360\,B^5\,a^{41}\,b^{29}\,d^4+545804779520\,B^5\,a^{43}\,b^{27}\,d^4+593787617280\,B^5\,a^{45}\,b^{25}\,d^4+485826232320\,B^5\,a^{47}\,b^{23}\,d^4+293894881280\,B^5\,a^{49}\,b^{21}\,d^4+125954949120\,B^5\,a^{51}\,b^{19}\,d^4+34351349760\,B^5\,a^{53}\,b^{17}\,d^4+3816816640\,B^5\,a^{55}\,b^{15}\,d^4-880803840\,B^5\,a^{57}\,b^{13}\,d^4-377487360\,B^5\,a^{59}\,b^{11}\,d^4-41943040\,B^5\,a^{61}\,b^9\,d^4-838860800\,A\,B^4\,a^{30}\,b^{40}\,d^4-11398021120\,A\,B^4\,a^{32}\,b^{38}\,d^4-71508688896\,A\,B^4\,a^{34}\,b^{36}\,d^4-274091474944\,A\,B^4\,a^{36}\,b^{34}\,d^4-715271438336\,A\,B^4\,a^{38}\,b^{32}\,d^4-1339130118144\,A\,B^4\,a^{40}\,b^{30}\,d^4-1843140755456\,A\,B^4\,a^{42}\,b^{28}\,d^4-1873429921792\,A\,B^4\,a^{44}\,b^{26}\,d^4-1381905727488\,A\,B^4\,a^{46}\,b^{24}\,d^4-697850396672\,A\,B^4\,a^{48}\,b^{22}\,d^4-197329420288\,A\,B^4\,a^{50}\,b^{20}\,d^4+7442792448\,A\,B^4\,a^{52}\,b^{18}\,d^4+32824623104\,A\,B^4\,a^{54}\,b^{16}\,d^4+13637779456\,A\,B^4\,a^{56}\,b^{14}\,d^4+2478833664\,A\,B^4\,a^{58}\,b^{12}\,d^4+111149056\,A\,B^4\,a^{60}\,b^{10}\,d^4-16777216\,A\,B^4\,a^{62}\,b^8\,d^4+1009254400\,A^4\,B\,a^{29}\,b^{41}\,d^4+13385072640\,A^4\,B\,a^{31}\,b^{39}\,d^4+81494802432\,A^4\,B\,a^{33}\,b^{37}\,d^4+300677070848\,A^4\,B\,a^{35}\,b^{35}\,d^4+746139942912\,A^4\,B\,a^{37}\,b^{33}\,d^4+1302774939648\,A^4\,B\,a^{39}\,b^{31}\,d^4+1615897034752\,A^4\,B\,a^{41}\,b^{29}\,d^4+1379206692864\,A^4\,B\,a^{43}\,b^{27}\,d^4+702423760896\,A^4\,B\,a^{45}\,b^{25}\,d^4+43934285824\,A^4\,B\,a^{47}\,b^{23}\,d^4-253484335104\,A^4\,B\,a^{49}\,b^{21}\,d^4-226718908416\,A^4\,B\,a^{51}\,b^{19}\,d^4-103578861568\,A^4\,B\,a^{53}\,b^{17}\,d^4-26137853952\,A^4\,B\,a^{55}\,b^{15}\,d^4-2543321088\,A^4\,B\,a^{57}\,b^{13}\,d^4+312475648\,A^4\,B\,a^{59}\,b^{11}\,d^4+75497472\,A^4\,B\,a^{61}\,b^9\,d^4+1009254400\,A^2\,B^3\,a^{29}\,b^{41}\,d^4+13594787840\,A^2\,B^3\,a^{31}\,b^{39}\,d^4+84388872192\,A^2\,B^3\,a^{33}\,b^{37}\,d^4+319173951488\,A^2\,B^3\,a^{35}\,b^{35}\,d^4+818659459072\,A^2\,B^3\,a^{37}\,b^{33}\,d^4+1497432588288\,A^2\,B^3\,a^{39}\,b^{31}\,d^4+1993761882112\,A^2\,B^3\,a^{41}\,b^{29}\,d^4+1925011472384\,A^2\,B^3\,a^{43}\,b^{27}\,d^4+1296211378176\,A^2\,B^3\,a^{45}\,b^{25}\,d^4+529760518144\,A^2\,B^3\,a^{47}\,b^{23}\,d^4+40410546176\,A^2\,B^3\,a^{49}\,b^{21}\,d^4-100763959296\,A^2\,B^3\,a^{51}\,b^{19}\,d^4-69227511808\,A^2\,B^3\,a^{53}\,b^{17}\,d^4-22321037312\,A^2\,B^3\,a^{55}\,b^{15}\,d^4-3424124928\,A^2\,B^3\,a^{57}\,b^{13}\,d^4-65011712\,A^2\,B^3\,a^{59}\,b^{11}\,d^4+33554432\,A^2\,B^3\,a^{61}\,b^9\,d^4-321126400\,A^3\,B^2\,a^{28}\,b^{42}\,d^4-4866703360\,A^3\,B^2\,a^{30}\,b^{40}\,d^4-34159722496\,A^3\,B^2\,a^{32}\,b^{38}\,d^4-147079823360\,A^3\,B^2\,a^{34}\,b^{36}\,d^4-433419714560\,A^3\,B^2\,a^{36}\,b^{34}\,d^4-922596147200\,A^3\,B^2\,a^{38}\,b^{32}\,d^4-1456950476800\,A^3\,B^2\,a^{40}\,b^{30}\,d^4-1720597086208\,A^3\,B^2\,a^{42}\,b^{28}\,d^4-1502650040320\,A^3\,B^2\,a^{44}\,b^{26}\,d^4-929105182720\,A^3\,B^2\,a^{46}\,b^{24}\,d^4-353311129600\,A^3\,B^2\,a^{48}\,b^{22}\,d^4-26359889920\,A^3\,B^2\,a^{50}\,b^{20}\,d^4+58278019072\,A^3\,B^2\,a^{52}\,b^{18}\,d^4+38085591040\,A^3\,B^2\,a^{54}\,b^{16}\,d^4+11661475840\,A^3\,B^2\,a^{56}\,b^{14}\,d^4+1684275200\,A^3\,B^2\,a^{58}\,b^{12}\,d^4+20971520\,A^3\,B^2\,a^{60}\,b^{10}\,d^4-16777216\,A^3\,B^2\,a^{62}\,b^8\,d^4}\right)\,\sqrt{64\,A^2\,a^{13}-560\,A^2\,a^{11}\,b^2+1225\,A^2\,a^9\,b^4+320\,A\,B\,a^{12}\,b-1400\,A\,B\,a^{10}\,b^3+400\,B^2\,a^{11}\,b^2}\,1{}\mathrm{i}}{4\,a^9\,d}","Not used",1,"(((a + b*tan(c + d*x))^3*(35*A*b^6 + 62*A*a^2*b^4 + 11*A*a^4*b^2 - 40*B*a^3*b^3 - 20*B*a*b^5 - 4*B*a^5*b))/(4*(a^8 + a^4*b^4 + 2*a^6*b^2)) - ((a + b*tan(c + d*x))^2*(175*A*b^6 + 310*A*a^2*b^4 + 39*A*a^4*b^2 - 208*B*a^3*b^3 - 100*B*a*b^5 - 12*B*a^5*b))/(12*(a^7 + a^3*b^4 + 2*a^5*b^2)) + (2*(A*b^4 - B*a*b^3))/(3*a*(a^2 + b^2)) + (2*(a + b*tan(c + d*x))*(7*A*b^6 + 13*A*a^2*b^4 - 10*B*a^3*b^3 - 4*B*a*b^5))/(3*a^2*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a + b*tan(c + d*x))^(7/2) - 2*a*d*(a + b*tan(c + d*x))^(5/2) + a^2*d*(a + b*tan(c + d*x))^(3/2)) + atan((((a + b*tan(c + d*x))^(1/2)*(321126400*A^4*a^28*b^44*d^5 + 2422210560*A^4*a^30*b^42*d^5 + 1411383296*A^4*a^32*b^40*d^5 - 54989422592*A^4*a^34*b^38*d^5 - 325864914944*A^4*a^36*b^36*d^5 - 1011294928896*A^4*a^38*b^34*d^5 - 2054783238144*A^4*a^40*b^32*d^5 - 2923490705408*A^4*a^42*b^30*d^5 - 2962565365760*A^4*a^44*b^28*d^5 - 2094150975488*A^4*a^46*b^26*d^5 - 943762440192*A^4*a^48*b^24*d^5 - 175655354368*A^4*a^50*b^22*d^5 + 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40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(-(((8*A^2*a^5*d^2 - 8*B^2*a^5*d^2 - 80*A^2*a^3*b^2*d^2 + 80*B^2*a^3*b^2*d^2 + 16*A*B*b^5*d^2 + 40*A^2*a*b^4*d^2 - 40*B^2*a*b^4*d^2 - 160*A*B*a^2*b^3*d^2 + 80*A*B*a^4*b*d^2)^2/4 - (A^4 + 2*A^2*B^2 + B^4)*(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 4*A^2*a^5*d^2 + 4*B^2*a^5*d^2 + 40*A^2*a^3*b^2*d^2 - 40*B^2*a^3*b^2*d^2 - 8*A*B*b^5*d^2 - 20*A^2*a*b^4*d^2 + 20*B^2*a*b^4*d^2 + 80*A*B*a^2*b^3*d^2 - 40*A*B*a^4*b*d^2)/(16*(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)*(134217728*a^36*b^46*d^9 + 2617245696*a^38*b^44*d^9 + 24159191040*a^40*b^42*d^9 + 140324634624*a^42*b^40*d^9 + 574988746752*a^44*b^38*d^9 + 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4216584142848*a^48*b^34*d^9 + 8008771829760*a^50*b^32*d^9 + 12280116805632*a^52*b^30*d^9 + 15335314948096*a^54*b^28*d^9 + 15661598244864*a^56*b^26*d^9 + 13080993988608*a^58*b^24*d^9 + 8898635366400*a^60*b^22*d^9 + 4887404347392*a^62*b^20*d^9 + 2135672487936*a^64*b^18*d^9 + 725581037568*a^66*b^16*d^9 + 184817811456*a^68*b^14*d^9 + 33218887680*a^70*b^12*d^9 + 3758096384*a^72*b^10*d^9 + 201326592*a^74*b^8*d^9))/(8*a^9*d)))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - 734003200*A*B^2*a^29*b^46*d^6 - 8745123840*A*B^2*a^31*b^44*d^6 - 39007027200*A*B^2*a^33*b^42*d^6 - 43956305920*A*B^2*a^35*b^40*d^6 + 331945607168*A*B^2*a^37*b^38*d^6 + 1943095214080*A*B^2*a^39*b^36*d^6 + 5556991426560*A*B^2*a^41*b^34*d^6 + 10438993510400*A*B^2*a^43*b^32*d^6 + 13925928140800*A*B^2*a^45*b^30*d^6 + 13562349092864*A*B^2*a^47*b^28*d^6 + 9734518210560*A*B^2*a^49*b^26*d^6 + 5232855613440*A*B^2*a^51*b^24*d^6 + 2292816281600*A*B^2*a^53*b^22*d^6 + 1035531714560*A*B^2*a^55*b^20*d^6 + 547801268224*A*B^2*a^57*b^18*d^6 + 260340449280*A*B^2*a^59*b^16*d^6 + 84452311040*A*B^2*a^61*b^14*d^6 + 15204352000*A*B^2*a^63*b^12*d^6 + 880803840*A*B^2*a^65*b^10*d^6 - 75497472*A*B^2*a^67*b^8*d^6 + 642252800*A^2*B*a^28*b^47*d^6 + 5853675520*A^2*B*a^30*b^45*d^6 + 7876902912*A^2*B*a^32*b^43*d^6 - 138240065536*A^2*B*a^34*b^41*d^6 - 1017280200704*A^2*B*a^36*b^39*d^6 - 3744022396928*A^2*B*a^38*b^37*d^6 - 9034669228032*A^2*B*a^40*b^35*d^6 - 15573756936192*A^2*B*a^42*b^33*d^6 - 19990100049920*A^2*B*a^44*b^31*d^6 - 19663216967680*A^2*B*a^46*b^29*d^6 - 15338313875456*A^2*B*a^48*b^27*d^6 - 10040245223424*A^2*B*a^50*b^25*d^6 - 5936376709120*A^2*B*a^52*b^23*d^6 - 3256963039232*A^2*B*a^54*b^21*d^6 - 1533802446848*A^2*B*a^56*b^19*d^6 - 534383689728*A^2*B*a^58*b^17*d^6 - 109743439872*A^2*B*a^60*b^15*d^6 - 3935830016*A^2*B*a^62*b^13*d^6 + 3409969152*A^2*B*a^64*b^11*d^6 + 553648128*A^2*B*a^66*b^9*d^6))/(8*a^9*d))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2))/(8*a^9*d) - 321126400*A^5*a^28*b^42*d^4 - 4027842560*A^5*a^30*b^40*d^4 - 22761701376*A^5*a^32*b^38*d^4 - 75571134464*A^5*a^34*b^36*d^4 - 159328239616*A^5*a^36*b^34*d^4 - 207324708864*A^5*a^38*b^32*d^4 - 117820358656*A^5*a^40*b^30*d^4 + 122543669248*A^5*a^42*b^28*d^4 + 370779881472*A^5*a^44*b^26*d^4 + 452800544768*A^5*a^46*b^24*d^4 + 344539267072*A^5*a^48*b^22*d^4 + 170969530368*A^5*a^50*b^20*d^4 + 50835226624*A^5*a^52*b^18*d^4 + 5260967936*A^5*a^54*b^16*d^4 - 1976303616*A^5*a^56*b^14*d^4 - 794558464*A^5*a^58*b^12*d^4 - 90177536*A^5*a^60*b^10*d^4 + 209715200*B^5*a^31*b^39*d^4 + 2894069760*B^5*a^33*b^37*d^4 + 18496880640*B^5*a^35*b^35*d^4 + 72519516160*B^5*a^37*b^33*d^4 + 194657648640*B^5*a^39*b^31*d^4 + 377864847360*B^5*a^41*b^29*d^4 + 545804779520*B^5*a^43*b^27*d^4 + 593787617280*B^5*a^45*b^25*d^4 + 485826232320*B^5*a^47*b^23*d^4 + 293894881280*B^5*a^49*b^21*d^4 + 125954949120*B^5*a^51*b^19*d^4 + 34351349760*B^5*a^53*b^17*d^4 + 3816816640*B^5*a^55*b^15*d^4 - 880803840*B^5*a^57*b^13*d^4 - 377487360*B^5*a^59*b^11*d^4 - 41943040*B^5*a^61*b^9*d^4 - 838860800*A*B^4*a^30*b^40*d^4 - 11398021120*A*B^4*a^32*b^38*d^4 - 71508688896*A*B^4*a^34*b^36*d^4 - 274091474944*A*B^4*a^36*b^34*d^4 - 715271438336*A*B^4*a^38*b^32*d^4 - 1339130118144*A*B^4*a^40*b^30*d^4 - 1843140755456*A*B^4*a^42*b^28*d^4 - 1873429921792*A*B^4*a^44*b^26*d^4 - 1381905727488*A*B^4*a^46*b^24*d^4 - 697850396672*A*B^4*a^48*b^22*d^4 - 197329420288*A*B^4*a^50*b^20*d^4 + 7442792448*A*B^4*a^52*b^18*d^4 + 32824623104*A*B^4*a^54*b^16*d^4 + 13637779456*A*B^4*a^56*b^14*d^4 + 2478833664*A*B^4*a^58*b^12*d^4 + 111149056*A*B^4*a^60*b^10*d^4 - 16777216*A*B^4*a^62*b^8*d^4 + 1009254400*A^4*B*a^29*b^41*d^4 + 13385072640*A^4*B*a^31*b^39*d^4 + 81494802432*A^4*B*a^33*b^37*d^4 + 300677070848*A^4*B*a^35*b^35*d^4 + 746139942912*A^4*B*a^37*b^33*d^4 + 1302774939648*A^4*B*a^39*b^31*d^4 + 1615897034752*A^4*B*a^41*b^29*d^4 + 1379206692864*A^4*B*a^43*b^27*d^4 + 702423760896*A^4*B*a^45*b^25*d^4 + 43934285824*A^4*B*a^47*b^23*d^4 - 253484335104*A^4*B*a^49*b^21*d^4 - 226718908416*A^4*B*a^51*b^19*d^4 - 103578861568*A^4*B*a^53*b^17*d^4 - 26137853952*A^4*B*a^55*b^15*d^4 - 2543321088*A^4*B*a^57*b^13*d^4 + 312475648*A^4*B*a^59*b^11*d^4 + 75497472*A^4*B*a^61*b^9*d^4 + 1009254400*A^2*B^3*a^29*b^41*d^4 + 13594787840*A^2*B^3*a^31*b^39*d^4 + 84388872192*A^2*B^3*a^33*b^37*d^4 + 319173951488*A^2*B^3*a^35*b^35*d^4 + 818659459072*A^2*B^3*a^37*b^33*d^4 + 1497432588288*A^2*B^3*a^39*b^31*d^4 + 1993761882112*A^2*B^3*a^41*b^29*d^4 + 1925011472384*A^2*B^3*a^43*b^27*d^4 + 1296211378176*A^2*B^3*a^45*b^25*d^4 + 529760518144*A^2*B^3*a^47*b^23*d^4 + 40410546176*A^2*B^3*a^49*b^21*d^4 - 100763959296*A^2*B^3*a^51*b^19*d^4 - 69227511808*A^2*B^3*a^53*b^17*d^4 - 22321037312*A^2*B^3*a^55*b^15*d^4 - 3424124928*A^2*B^3*a^57*b^13*d^4 - 65011712*A^2*B^3*a^59*b^11*d^4 + 33554432*A^2*B^3*a^61*b^9*d^4 - 321126400*A^3*B^2*a^28*b^42*d^4 - 4866703360*A^3*B^2*a^30*b^40*d^4 - 34159722496*A^3*B^2*a^32*b^38*d^4 - 147079823360*A^3*B^2*a^34*b^36*d^4 - 433419714560*A^3*B^2*a^36*b^34*d^4 - 922596147200*A^3*B^2*a^38*b^32*d^4 - 1456950476800*A^3*B^2*a^40*b^30*d^4 - 1720597086208*A^3*B^2*a^42*b^28*d^4 - 1502650040320*A^3*B^2*a^44*b^26*d^4 - 929105182720*A^3*B^2*a^46*b^24*d^4 - 353311129600*A^3*B^2*a^48*b^22*d^4 - 26359889920*A^3*B^2*a^50*b^20*d^4 + 58278019072*A^3*B^2*a^52*b^18*d^4 + 38085591040*A^3*B^2*a^54*b^16*d^4 + 11661475840*A^3*B^2*a^56*b^14*d^4 + 1684275200*A^3*B^2*a^58*b^12*d^4 + 20971520*A^3*B^2*a^60*b^10*d^4 - 16777216*A^3*B^2*a^62*b^8*d^4))*(64*A^2*a^13 + 1225*A^2*a^9*b^4 - 560*A^2*a^11*b^2 + 400*B^2*a^11*b^2 + 320*A*B*a^12*b - 1400*A*B*a^10*b^3)^(1/2)*1i)/(4*a^9*d)","B"
365,1,3033,362,8.273011,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(a + b*tan(c + d*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,B^3\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,a^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}}{\frac{16\,B^3\,a^4\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a\,b^3\,d^2\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,B^2\,a^4\,b^2\,d^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}}{\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,B^3\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^6\,d^4}}{\frac{16\,B^3\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-16\,B^3\,a^2\,b^5\,d-16\,B^3\,b^7\,d+\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,b^4\,\sqrt{\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a^2\,b^5\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,b^5}{d}+\frac{4\,B\,a\,b^3\,d^2\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,B^2\,a^2\,b^4\,d^2\,\sqrt{\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-16\,B^3\,a^2\,b^5\,d-16\,B^3\,b^7\,d+\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}}{\frac{16\,B^3\,a^4\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,a\,b^3\,d^2\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,B^3\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}-\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,a^4\,b^2\,d^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}}{\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,B^3\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}-\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{B^2\,a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,b^4\,\sqrt{\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,B^3\,b^5}{d}-\frac{16\,B^3\,a^2\,b^5\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a\,b^3\,d^2\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,B^4\,b^6\,d^4}}{16\,B^3\,b^7\,d+16\,B^3\,a^2\,b^5\,d-\frac{16\,B^3\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,B^2\,a^2\,b^4\,d^2\,\sqrt{\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{16\,B^3\,b^7\,d+16\,B^3\,a^2\,b^5\,d-\frac{16\,B^3\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,B^3\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,B\,a^3\,b^3\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,B\,a\,b^5\,d^4\,\sqrt{-16\,B^4\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{B^2\,a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,B^4\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}","Not used",1,"2*atanh((8*a*b^2*(a + b*tan(c + d*x))^(1/2)*(- (-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(-16*B^4*a^4*b^2*d^4)^(1/2))/((16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*B^3*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^3*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^5*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*(- (-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2))/((16*B^3*a^4*b^3*d^3)/(a^2*d^4 + b^2*d^4) + (4*B*a*b^3*d^2*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*B^2*a^4*b^2*d^2*(a + b*tan(c + d*x))^(1/2)*(- (-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2))/((16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*B^3*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^3*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^5*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*(- (-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((8*a*b^2*((-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^6*d^4)^(1/2))/((16*B^3*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - 16*B^3*a^2*b^5*d - 16*B^3*b^7*d + (16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^3*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^5*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*b^4*((-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a^2*b^5*d^3)/(a^2*d^4 + b^2*d^4) - (16*B^3*b^5)/d + (4*B*a*b^3*d^2*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*B^2*a^2*b^4*d^2*((-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - 16*B^3*a^2*b^5*d - 16*B^3*b^7*d + (16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^3*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^5*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((32*B^2*a^2*b^2*(a + b*tan(c + d*x))^(1/2)*((-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2))/((16*B^3*a^4*b^3*d^3)/(a^2*d^4 + b^2*d^4) - (4*B*a*b^3*d^2*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*(a + b*tan(c + d*x))^(1/2)*((-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(-16*B^4*a^4*b^2*d^4)^(1/2))/((16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*B^3*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*a^3*b^3*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) - (4*B*a*b^5*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*a^4*b^2*d^2*(a + b*tan(c + d*x))^(1/2)*((-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2))/((16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*B^3*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*B*a^3*b^3*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) - (4*B*a*b^5*d^4*(-16*B^4*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*B^4*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (B^2*a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((32*B^2*b^4*((B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*B^3*b^5)/d - (16*B^3*a^2*b^5*d^3)/(a^2*d^4 + b^2*d^4) + (4*B*a*b^3*d^2*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*B^4*b^6*d^4)^(1/2))/(16*B^3*b^7*d + 16*B^3*a^2*b^5*d - (16*B^3*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - (16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^3*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^5*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*B^2*a^2*b^4*d^2*((B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(16*B^3*b^7*d + 16*B^3*a^2*b^5*d - (16*B^3*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - (16*B^3*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*B*a^3*b^3*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*B*a*b^5*d^4*(-16*B^4*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((B^2*a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*B^4*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)","B"
366,1,6453,406,10.808966,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(a + b*tan(c + d*x))^(3/2),x)","\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{10}\,b^2\,d^3-32\,B^2\,a^8\,b^4\,d^3+32\,B^2\,a^4\,b^8\,d^3+16\,B^2\,a^2\,b^{10}\,d^3\right)-\sqrt{\frac{\sqrt{\frac{{\left(8\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,\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\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,\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(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)+64\,B\,a^2\,b^{11}\,d^4+256\,B\,a^4\,b^9\,d^4+384\,B\,a^6\,b^7\,d^4+256\,B\,a^8\,b^5\,d^4+64\,B\,a^{10}\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+8\,B^3\,a^3\,b^9\,d^2+24\,B^3\,a^5\,b^7\,d^2+24\,B^3\,a^7\,b^5\,d^2+8\,B^3\,a^9\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,\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(8\,B^3\,a^3\,b^9\,d^2-\sqrt{-\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{10}\,b^2\,d^3-32\,B^2\,a^8\,b^4\,d^3+32\,B^2\,a^4\,b^8\,d^3+16\,B^2\,a^2\,b^{10}\,d^3\right)+\sqrt{-\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,B\,a^2\,b^{11}\,d^4-\sqrt{-\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,B\,a^4\,b^9\,d^4+384\,B\,a^6\,b^7\,d^4+256\,B\,a^8\,b^5\,d^4+64\,B\,a^{10}\,b^3\,d^4\right)\right)+24\,B^3\,a^5\,b^7\,d^2+24\,B^3\,a^7\,b^5\,d^2+8\,B^3\,a^9\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(8\,B^3\,a^3\,b^9\,d^2-\sqrt{\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{10}\,b^2\,d^3-32\,B^2\,a^8\,b^4\,d^3+32\,B^2\,a^4\,b^8\,d^3+16\,B^2\,a^2\,b^{10}\,d^3\right)+\sqrt{\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,B\,a^2\,b^{11}\,d^4-\sqrt{\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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\,B\,a^4\,b^9\,d^4+384\,B\,a^6\,b^7\,d^4+256\,B\,a^8\,b^5\,d^4+64\,B\,a^{10}\,b^3\,d^4\right)\right)+24\,B^3\,a^5\,b^7\,d^2+24\,B^3\,a^7\,b^5\,d^2+8\,B^3\,a^9\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^8\,b^2\,d^4+96\,B^4\,a^6\,b^4\,d^4-16\,B^4\,a^4\,b^6\,d^4}-4\,B^2\,a^5\,d^2+12\,B^2\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{10}\,b^2\,d^3-32\,B^2\,a^8\,b^4\,d^3+32\,B^2\,a^4\,b^8\,d^3+16\,B^2\,a^2\,b^{10}\,d^3\right)-\sqrt{-\frac{\sqrt{\frac{{\left(8\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,\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\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,\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(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)+64\,B\,a^2\,b^{11}\,d^4+256\,B\,a^4\,b^9\,d^4+384\,B\,a^6\,b^7\,d^4+256\,B\,a^8\,b^5\,d^4+64\,B\,a^{10}\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+8\,B^3\,a^3\,b^9\,d^2+24\,B^3\,a^5\,b^7\,d^2+24\,B^3\,a^7\,b^5\,d^2+8\,B^3\,a^9\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,B^2\,a^5\,d^2-24\,B^2\,a^3\,b^2\,d^2\right)}^2}{4}-B^4\,a^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^5\,d^2-12\,B^2\,a^3\,b^2\,d^2}{16\,\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(-16\,B^2\,a^8\,b^4\,d^3-32\,B^2\,a^6\,b^6\,d^3+32\,B^2\,a^2\,b^{10}\,d^3+16\,B^2\,b^{12}\,d^3\right)+\sqrt{-\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,\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(32\,B\,b^{13}\,d^4+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,\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(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\,B\,a^2\,b^{11}\,d^4+64\,B\,a^4\,b^9\,d^4-64\,B\,a^6\,b^7\,d^4-96\,B\,a^8\,b^5\,d^4-32\,B\,a^{10}\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-24\,B^3\,a^3\,b^9\,d^2-24\,B^3\,a^5\,b^7\,d^2-8\,B^3\,a^7\,b^5\,d^2-8\,B^3\,a\,b^{11}\,d^2\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,\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(-16\,B^2\,a^8\,b^4\,d^3-32\,B^2\,a^6\,b^6\,d^3+32\,B^2\,a^2\,b^{10}\,d^3+16\,B^2\,b^{12}\,d^3\right)+\sqrt{\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,\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(32\,B\,b^{13}\,d^4+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,\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(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\,B\,a^2\,b^{11}\,d^4+64\,B\,a^4\,b^9\,d^4-64\,B\,a^6\,b^7\,d^4-96\,B\,a^8\,b^5\,d^4-32\,B\,a^{10}\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-24\,B^3\,a^3\,b^9\,d^2-24\,B^3\,a^5\,b^7\,d^2-8\,B^3\,a^7\,b^5\,d^2-8\,B^3\,a\,b^{11}\,d^2\right)\,\sqrt{\frac{\sqrt{\frac{{\left(8\,B^2\,a^3\,b^2\,d^2-24\,B^2\,a\,b^4\,d^2\right)}^2}{4}-B^4\,b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,\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{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^4\,d^3-32\,B^2\,a^6\,b^6\,d^3+32\,B^2\,a^2\,b^{10}\,d^3+16\,B^2\,b^{12}\,d^3\right)+\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,B\,b^{13}\,d^4-96\,B\,a^2\,b^{11}\,d^4-64\,B\,a^4\,b^9\,d^4+64\,B\,a^6\,b^7\,d^4+96\,B\,a^8\,b^5\,d^4+32\,B\,a^{10}\,b^3\,d^4\right)\right)-24\,B^3\,a^3\,b^9\,d^2-24\,B^3\,a^5\,b^7\,d^2-8\,B^3\,a^7\,b^5\,d^2-8\,B^3\,a\,b^{11}\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}+4\,B^2\,a^3\,b^2\,d^2-12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^8\,b^4\,d^3-32\,B^2\,a^6\,b^6\,d^3+32\,B^2\,a^2\,b^{10}\,d^3+16\,B^2\,b^{12}\,d^3\right)+\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,B\,b^{13}\,d^4-96\,B\,a^2\,b^{11}\,d^4-64\,B\,a^4\,b^9\,d^4+64\,B\,a^6\,b^7\,d^4+96\,B\,a^8\,b^5\,d^4+32\,B\,a^{10}\,b^3\,d^4\right)\right)-24\,B^3\,a^3\,b^9\,d^2-24\,B^3\,a^5\,b^7\,d^2-8\,B^3\,a^7\,b^5\,d^2-8\,B^3\,a\,b^{11}\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^6\,d^4+96\,B^4\,a^2\,b^8\,d^4-16\,B^4\,b^{10}\,d^4}-4\,B^2\,a^3\,b^2\,d^2+12\,B^2\,a\,b^4\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}","Not used",1,"log(((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^2*b^10*d^3 + 32*B^2*a^4*b^8*d^3 - 32*B^2*a^8*b^4*d^3 - 16*B^2*a^10*b^2*d^3) - ((((8*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*(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*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(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) + 64*B*a^2*b^11*d^4 + 256*B*a^4*b^9*d^4 + 384*B*a^6*b^7*d^4 + 256*B*a^8*b^5*d^4 + 64*B*a^10*b^3*d^4))*((((8*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*(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*B^3*a^3*b^9*d^2 + 24*B^3*a^5*b^7*d^2 + 24*B^3*a^7*b^5*d^2 + 8*B^3*a^9*b^3*d^2)*((((8*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*(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*B^3*a^3*b^9*d^2 - (-((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^2*b^10*d^3 + 32*B^2*a^4*b^8*d^3 - 32*B^2*a^8*b^4*d^3 - 16*B^2*a^10*b^2*d^3) + (-((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*B*a^2*b^11*d^4 - (-((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*B*a^4*b^9*d^4 + 384*B*a^6*b^7*d^4 + 256*B*a^8*b^5*d^4 + 64*B*a^10*b^3*d^4)) + 24*B^3*a^5*b^7*d^2 + 24*B^3*a^7*b^5*d^2 + 8*B^3*a^9*b^3*d^2)*(-((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(8*B^3*a^3*b^9*d^2 - (((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^2*b^10*d^3 + 32*B^2*a^4*b^8*d^3 - 32*B^2*a^8*b^4*d^3 - 16*B^2*a^10*b^2*d^3) + (((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*B*a^2*b^11*d^4 - (((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*B*a^4*b^9*d^4 + 384*B*a^6*b^7*d^4 + 256*B*a^8*b^5*d^4 + 64*B*a^10*b^3*d^4)) + 24*B^3*a^5*b^7*d^2 + 24*B^3*a^7*b^5*d^2 + 8*B^3*a^9*b^3*d^2)*(((96*B^4*a^6*b^4*d^4 - 16*B^4*a^4*b^6*d^4 - 144*B^4*a^8*b^2*d^4)^(1/2) - 4*B^2*a^5*d^2 + 12*B^2*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + log(((a + b*tan(c + d*x))^(1/2)*(16*B^2*a^2*b^10*d^3 + 32*B^2*a^4*b^8*d^3 - 32*B^2*a^8*b^4*d^3 - 16*B^2*a^10*b^2*d^3) - (-(((8*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*(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*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(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) + 64*B*a^2*b^11*d^4 + 256*B*a^4*b^9*d^4 + 384*B*a^6*b^7*d^4 + 256*B*a^8*b^5*d^4 + 64*B*a^10*b^3*d^4))*(-(((8*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*(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*B^3*a^3*b^9*d^2 + 24*B^3*a^5*b^7*d^2 + 24*B^3*a^7*b^5*d^2 + 8*B^3*a^9*b^3*d^2)*(-(((8*B^2*a^5*d^2 - 24*B^2*a^3*b^2*d^2)^2/4 - B^4*a^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^5*d^2 - 12*B^2*a^3*b^2*d^2)/(16*(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)*(16*B^2*b^12*d^3 + 32*B^2*a^2*b^10*d^3 - 32*B^2*a^6*b^6*d^3 - 16*B^2*a^8*b^4*d^3) + (-(((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(32*B*b^13*d^4 + (a + b*tan(c + d*x))^(1/2)*(-(((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(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*B*a^2*b^11*d^4 + 64*B*a^4*b^9*d^4 - 64*B*a^6*b^7*d^4 - 96*B*a^8*b^5*d^4 - 32*B*a^10*b^3*d^4))*(-(((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) - 24*B^3*a^3*b^9*d^2 - 24*B^3*a^5*b^7*d^2 - 8*B^3*a^7*b^5*d^2 - 8*B^3*a*b^11*d^2)*(-(((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*(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)*(16*B^2*b^12*d^3 + 32*B^2*a^2*b^10*d^3 - 32*B^2*a^6*b^6*d^3 - 16*B^2*a^8*b^4*d^3) + ((((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(32*B*b^13*d^4 + (a + b*tan(c + d*x))^(1/2)*((((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(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*B*a^2*b^11*d^4 + 64*B*a^4*b^9*d^4 - 64*B*a^6*b^7*d^4 - 96*B*a^8*b^5*d^4 - 32*B*a^10*b^3*d^4))*((((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2) - 24*B^3*a^3*b^9*d^2 - 24*B^3*a^5*b^7*d^2 - 8*B^3*a^7*b^5*d^2 - 8*B^3*a*b^11*d^2)*((((8*B^2*a^3*b^2*d^2 - 24*B^2*a*b^4*d^2)^2/4 - B^4*b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*(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((((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^12*d^3 + 32*B^2*a^2*b^10*d^3 - 32*B^2*a^6*b^6*d^3 - 16*B^2*a^8*b^4*d^3) + (((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*b^13*d^4 - 96*B*a^2*b^11*d^4 - 64*B*a^4*b^9*d^4 + 64*B*a^6*b^7*d^4 + 96*B*a^8*b^5*d^4 + 32*B*a^10*b^3*d^4)) - 24*B^3*a^3*b^9*d^2 - 24*B^3*a^5*b^7*d^2 - 8*B^3*a^7*b^5*d^2 - 8*B^3*a*b^11*d^2)*(((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) + 4*B^2*a^3*b^2*d^2 - 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log((-((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*B^2*b^12*d^3 + 32*B^2*a^2*b^10*d^3 - 32*B^2*a^6*b^6*d^3 - 16*B^2*a^8*b^4*d^3) + (-((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((-((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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*b^13*d^4 - 96*B*a^2*b^11*d^4 - 64*B*a^4*b^9*d^4 + 64*B*a^6*b^7*d^4 + 96*B*a^8*b^5*d^4 + 32*B*a^10*b^3*d^4)) - 24*B^3*a^3*b^9*d^2 - 24*B^3*a^5*b^7*d^2 - 8*B^3*a^7*b^5*d^2 - 8*B^3*a*b^11*d^2)*(-((96*B^4*a^2*b^8*d^4 - 16*B^4*b^10*d^4 - 144*B^4*a^4*b^6*d^4)^(1/2) - 4*B^2*a^3*b^2*d^2 + 12*B^2*a*b^4*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)","B"
367,1,2142,119,8.767762,"\text{Not used}","int((cot(c + d*x)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","-\frac{2\,B\,\mathrm{atanh}\left(\frac{576\,B^5\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a}\,\left(576\,B^5\,b^8+\frac{1024\,B^5\,b^{10}}{a^2}\right)}+\frac{1024\,B^5\,b^{10}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{a^{5/2}\,\left(576\,B^5\,b^8+\frac{1024\,B^5\,b^{10}}{a^2}\right)}\right)}{\sqrt{a}\,d}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}+\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}}\right)\,\sqrt{\frac{B^2}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}-\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^2\,b^8\,d^2+16\,B\,b^{10}\,d^2\right)}{d^3}+\frac{32\,\left(24\,a^2\,b^8\,d^4+16\,b^{10}\,d^4\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{576\,B^2\,a\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^2}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{96\,B^3\,a\,b^8}{d^3}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{96\,B^4\,b^8\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}}\right)\,\sqrt{\frac{B^2\,1{}\mathrm{i}}{4\,\left(-b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}","Not used",1,"- atan(((((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) + (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (96*B^3*a*b^8)/d^3)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2)*1i - (((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (96*B^3*a*b^8)/d^3)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) + (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2)*1i)/((((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) + (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (96*B^3*a*b^8)/d^3)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) + (((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) - (96*B^3*a*b^8)/d^3)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2) + (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2)))*(B^2/(4*(a*d^2 - b*d^2*1i)))^(1/2)*2i - atan(((((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) + (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (96*B^3*a*b^8)/d^3)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2)*1i - (((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (96*B^3*a*b^8)/d^3)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) + (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2)*1i)/((((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 - (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) + (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (96*B^3*a*b^8)/d^3)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) + (((((32*(16*B*b^10*d^2 + 12*B*a^2*b^8*d^2))/d^3 + (32*(16*b^10*d^4 + 24*a^2*b^8*d^4)*(a + b*tan(c + d*x))^(1/2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (576*B^2*a*b^8*(a + b*tan(c + d*x))^(1/2))/d^2)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) - (96*B^3*a*b^8)/d^3)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2) + (96*B^4*b^8*(a + b*tan(c + d*x))^(1/2))/d^4)*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2)))*((B^2*1i)/(4*(a*d^2*1i - b*d^2)))^(1/2)*2i - (2*B*atanh((576*B^5*b^8*(a + b*tan(c + d*x))^(1/2))/(a^(1/2)*(576*B^5*b^8 + (1024*B^5*b^10)/a^2)) + (1024*B^5*b^10*(a + b*tan(c + d*x))^(1/2))/(a^(5/2)*(576*B^5*b^8 + (1024*B^5*b^10)/a^2))))/(a^(1/2)*d)","B"
368,1,9618,123,18.414814,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(16\,B^3\,a^4\,b^{15}\,d^2-\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,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{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,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{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,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(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}-32\,B\,a\,b^{21}\,d^4-160\,B\,a^3\,b^{19}\,d^4-128\,B\,a^5\,b^{17}\,d^4+896\,B\,a^7\,b^{15}\,d^4+3136\,B\,a^9\,b^{13}\,d^4+4928\,B\,a^{11}\,b^{11}\,d^4+4480\,B\,a^{13}\,b^9\,d^4+2432\,B\,a^{15}\,b^7\,d^4+736\,B\,a^{17}\,b^5\,d^4+96\,B\,a^{19}\,b^3\,d^4\right)}{4}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{18}\,b^2\,d^3+320\,B^2\,a^{14}\,b^6\,d^3+1024\,B^2\,a^{12}\,b^8\,d^3+1440\,B^2\,a^{10}\,b^{10}\,d^3+1024\,B^2\,a^8\,b^{12}\,d^3+320\,B^2\,a^6\,b^{14}\,d^3-16\,B^2\,a^2\,b^{18}\,d^3\right)\right)}{4}+96\,B^3\,a^6\,b^{13}\,d^2+240\,B^3\,a^8\,b^{11}\,d^2+320\,B^3\,a^{10}\,b^9\,d^2+240\,B^3\,a^{12}\,b^7\,d^2+96\,B^3\,a^{14}\,b^5\,d^2+16\,B^3\,a^{16}\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,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}}}{4}+\frac{\ln\left(16\,B^3\,a^4\,b^{15}\,d^2-\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,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{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,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{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,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(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}-32\,B\,a\,b^{21}\,d^4-160\,B\,a^3\,b^{19}\,d^4-128\,B\,a^5\,b^{17}\,d^4+896\,B\,a^7\,b^{15}\,d^4+3136\,B\,a^9\,b^{13}\,d^4+4928\,B\,a^{11}\,b^{11}\,d^4+4480\,B\,a^{13}\,b^9\,d^4+2432\,B\,a^{15}\,b^7\,d^4+736\,B\,a^{17}\,b^5\,d^4+96\,B\,a^{19}\,b^3\,d^4\right)}{4}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{18}\,b^2\,d^3+320\,B^2\,a^{14}\,b^6\,d^3+1024\,B^2\,a^{12}\,b^8\,d^3+1440\,B^2\,a^{10}\,b^{10}\,d^3+1024\,B^2\,a^8\,b^{12}\,d^3+320\,B^2\,a^6\,b^{14}\,d^3-16\,B^2\,a^2\,b^{18}\,d^3\right)\right)}{4}+96\,B^3\,a^6\,b^{13}\,d^2+240\,B^3\,a^8\,b^{11}\,d^2+320\,B^3\,a^{10}\,b^9\,d^2+240\,B^3\,a^{12}\,b^7\,d^2+96\,B^3\,a^{14}\,b^5\,d^2+16\,B^3\,a^{16}\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,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}}}{4}-\ln\left(16\,B^3\,a^4\,b^{15}\,d^2-\sqrt{\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,B\,a^7\,b^{15}\,d^4-32\,B\,a\,b^{21}\,d^4-160\,B\,a^3\,b^{19}\,d^4-128\,B\,a^5\,b^{17}\,d^4-\sqrt{\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,B\,a^9\,b^{13}\,d^4+4928\,B\,a^{11}\,b^{11}\,d^4+4480\,B\,a^{13}\,b^9\,d^4+2432\,B\,a^{15}\,b^7\,d^4+736\,B\,a^{17}\,b^5\,d^4+96\,B\,a^{19}\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{18}\,b^2\,d^3+320\,B^2\,a^{14}\,b^6\,d^3+1024\,B^2\,a^{12}\,b^8\,d^3+1440\,B^2\,a^{10}\,b^{10}\,d^3+1024\,B^2\,a^8\,b^{12}\,d^3+320\,B^2\,a^6\,b^{14}\,d^3-16\,B^2\,a^2\,b^{18}\,d^3\right)\right)+96\,B^3\,a^6\,b^{13}\,d^2+240\,B^3\,a^8\,b^{11}\,d^2+320\,B^3\,a^{10}\,b^9\,d^2+240\,B^3\,a^{12}\,b^7\,d^2+96\,B^3\,a^{14}\,b^5\,d^2+16\,B^3\,a^{16}\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}-4\,B^2\,a^7\,d^2-20\,B^2\,a^3\,b^4\,d^2+40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(16\,B^3\,a^4\,b^{15}\,d^2-\sqrt{-\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(896\,B\,a^7\,b^{15}\,d^4-32\,B\,a\,b^{21}\,d^4-160\,B\,a^3\,b^{19}\,d^4-128\,B\,a^5\,b^{17}\,d^4-\sqrt{-\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+3136\,B\,a^9\,b^{13}\,d^4+4928\,B\,a^{11}\,b^{11}\,d^4+4480\,B\,a^{13}\,b^9\,d^4+2432\,B\,a^{15}\,b^7\,d^4+736\,B\,a^{17}\,b^5\,d^4+96\,B\,a^{19}\,b^3\,d^4\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{18}\,b^2\,d^3+320\,B^2\,a^{14}\,b^6\,d^3+1024\,B^2\,a^{12}\,b^8\,d^3+1440\,B^2\,a^{10}\,b^{10}\,d^3+1024\,B^2\,a^8\,b^{12}\,d^3+320\,B^2\,a^6\,b^{14}\,d^3-16\,B^2\,a^2\,b^{18}\,d^3\right)\right)+96\,B^3\,a^6\,b^{13}\,d^2+240\,B^3\,a^8\,b^{11}\,d^2+320\,B^3\,a^{10}\,b^9\,d^2+240\,B^3\,a^{12}\,b^7\,d^2+96\,B^3\,a^{14}\,b^5\,d^2+16\,B^3\,a^{16}\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^{12}\,b^2\,d^4+1600\,B^4\,a^{10}\,b^4\,d^4-1760\,B^4\,a^8\,b^6\,d^4+320\,B^4\,a^6\,b^8\,d^4-16\,B^4\,a^4\,b^{10}\,d^4}+4\,B^2\,a^7\,d^2+20\,B^2\,a^3\,b^4\,d^2-40\,B^2\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(8\,B^3\,b^{19}\,d^2-\frac{\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,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{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,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{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,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(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}+96\,B\,a\,b^{21}\,d^4+736\,B\,a^3\,b^{19}\,d^4+2432\,B\,a^5\,b^{17}\,d^4+4480\,B\,a^7\,b^{15}\,d^4+4928\,B\,a^9\,b^{13}\,d^4+3136\,B\,a^{11}\,b^{11}\,d^4+896\,B\,a^{13}\,b^9\,d^4-128\,B\,a^{15}\,b^7\,d^4-160\,B\,a^{17}\,b^5\,d^4-32\,B\,a^{19}\,b^3\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^4\,d^3+320\,B^2\,a^{12}\,b^8\,d^3+1024\,B^2\,a^{10}\,b^{10}\,d^3+1440\,B^2\,a^8\,b^{12}\,d^3+1024\,B^2\,a^6\,b^{14}\,d^3+320\,B^2\,a^4\,b^{16}\,d^3-16\,B^2\,b^{20}\,d^3\right)\right)}{4}+40\,B^3\,a^2\,b^{17}\,d^2+72\,B^3\,a^4\,b^{15}\,d^2+40\,B^3\,a^6\,b^{13}\,d^2-40\,B^3\,a^8\,b^{11}\,d^2-72\,B^3\,a^{10}\,b^9\,d^2-40\,B^3\,a^{12}\,b^7\,d^2-8\,B^3\,a^{14}\,b^5\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,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}}}{4}+\frac{\ln\left(8\,B^3\,b^{19}\,d^2-\frac{\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,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{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,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{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,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(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}+96\,B\,a\,b^{21}\,d^4+736\,B\,a^3\,b^{19}\,d^4+2432\,B\,a^5\,b^{17}\,d^4+4480\,B\,a^7\,b^{15}\,d^4+4928\,B\,a^9\,b^{13}\,d^4+3136\,B\,a^{11}\,b^{11}\,d^4+896\,B\,a^{13}\,b^9\,d^4-128\,B\,a^{15}\,b^7\,d^4-160\,B\,a^{17}\,b^5\,d^4-32\,B\,a^{19}\,b^3\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^4\,d^3+320\,B^2\,a^{12}\,b^8\,d^3+1024\,B^2\,a^{10}\,b^{10}\,d^3+1440\,B^2\,a^8\,b^{12}\,d^3+1024\,B^2\,a^6\,b^{14}\,d^3+320\,B^2\,a^4\,b^{16}\,d^3-16\,B^2\,b^{20}\,d^3\right)\right)}{4}+40\,B^3\,a^2\,b^{17}\,d^2+72\,B^3\,a^4\,b^{15}\,d^2+40\,B^3\,a^6\,b^{13}\,d^2-40\,B^3\,a^8\,b^{11}\,d^2-72\,B^3\,a^{10}\,b^9\,d^2-40\,B^3\,a^{12}\,b^7\,d^2-8\,B^3\,a^{14}\,b^5\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,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}}}{4}-\ln\left(8\,B^3\,b^{19}\,d^2-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,B\,a\,b^{21}\,d^4-\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,B\,a^3\,b^{19}\,d^4+2432\,B\,a^5\,b^{17}\,d^4+4480\,B\,a^7\,b^{15}\,d^4+4928\,B\,a^9\,b^{13}\,d^4+3136\,B\,a^{11}\,b^{11}\,d^4+896\,B\,a^{13}\,b^9\,d^4-128\,B\,a^{15}\,b^7\,d^4-160\,B\,a^{17}\,b^5\,d^4-32\,B\,a^{19}\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^4\,d^3+320\,B^2\,a^{12}\,b^8\,d^3+1024\,B^2\,a^{10}\,b^{10}\,d^3+1440\,B^2\,a^8\,b^{12}\,d^3+1024\,B^2\,a^6\,b^{14}\,d^3+320\,B^2\,a^4\,b^{16}\,d^3-16\,B^2\,b^{20}\,d^3\right)\right)+40\,B^3\,a^2\,b^{17}\,d^2+72\,B^3\,a^4\,b^{15}\,d^2+40\,B^3\,a^6\,b^{13}\,d^2-40\,B^3\,a^8\,b^{11}\,d^2-72\,B^3\,a^{10}\,b^9\,d^2-40\,B^3\,a^{12}\,b^7\,d^2-8\,B^3\,a^{14}\,b^5\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}-40\,B^2\,a^3\,b^4\,d^2+4\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(8\,B^3\,b^{19}\,d^2-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,B\,a\,b^{21}\,d^4-\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)+736\,B\,a^3\,b^{19}\,d^4+2432\,B\,a^5\,b^{17}\,d^4+4480\,B\,a^7\,b^{15}\,d^4+4928\,B\,a^9\,b^{13}\,d^4+3136\,B\,a^{11}\,b^{11}\,d^4+896\,B\,a^{13}\,b^9\,d^4-128\,B\,a^{15}\,b^7\,d^4-160\,B\,a^{17}\,b^5\,d^4-32\,B\,a^{19}\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^{16}\,b^4\,d^3+320\,B^2\,a^{12}\,b^8\,d^3+1024\,B^2\,a^{10}\,b^{10}\,d^3+1440\,B^2\,a^8\,b^{12}\,d^3+1024\,B^2\,a^6\,b^{14}\,d^3+320\,B^2\,a^4\,b^{16}\,d^3-16\,B^2\,b^{20}\,d^3\right)\right)+40\,B^3\,a^2\,b^{17}\,d^2+72\,B^3\,a^4\,b^{15}\,d^2+40\,B^3\,a^6\,b^{13}\,d^2-40\,B^3\,a^8\,b^{11}\,d^2-72\,B^3\,a^{10}\,b^9\,d^2-40\,B^3\,a^{12}\,b^7\,d^2-8\,B^3\,a^{14}\,b^5\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,B^4\,a^8\,b^6\,d^4+1600\,B^4\,a^6\,b^8\,d^4-1760\,B^4\,a^4\,b^{10}\,d^4+320\,B^4\,a^2\,b^{12}\,d^4-16\,B^4\,b^{14}\,d^4}+40\,B^2\,a^3\,b^4\,d^2-4\,B^2\,a^5\,b^2\,d^2-20\,B^2\,a\,b^6\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\frac{\frac{2\,B\,a\,b}{3\,\left(a^2+b^2\right)}+\frac{4\,B\,a^2\,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}}+\frac{\frac{2\,B\,a\,b}{3\,\left(a^2+b^2\right)}+\frac{2\,B\,b\,\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}}","Not used",1,"(log(16*B^3*a^4*b^15*d^2 - ((((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*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)*(((((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*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)*(((((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*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)*(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 - 32*B*a*b^21*d^4 - 160*B*a^3*b^19*d^4 - 128*B*a^5*b^17*d^4 + 896*B*a^7*b^15*d^4 + 3136*B*a^9*b^13*d^4 + 4928*B*a^11*b^11*d^4 + 4480*B*a^13*b^9*d^4 + 2432*B*a^15*b^7*d^4 + 736*B*a^17*b^5*d^4 + 96*B*a^19*b^3*d^4))/4 - (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^6*b^14*d^3 - 16*B^2*a^2*b^18*d^3 + 1024*B^2*a^8*b^12*d^3 + 1440*B^2*a^10*b^10*d^3 + 1024*B^2*a^12*b^8*d^3 + 320*B^2*a^14*b^6*d^3 - 16*B^2*a^18*b^2*d^3)))/4 + 96*B^3*a^6*b^13*d^2 + 240*B^3*a^8*b^11*d^2 + 320*B^3*a^10*b^9*d^2 + 240*B^3*a^12*b^7*d^2 + 96*B^3*a^14*b^5*d^2 + 16*B^3*a^16*b^3*d^2)*(((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*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))/4 + (log(16*B^3*a^4*b^15*d^2 - ((-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*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)*(((-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*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)*(((-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*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)*(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 - 32*B*a*b^21*d^4 - 160*B*a^3*b^19*d^4 - 128*B*a^5*b^17*d^4 + 896*B*a^7*b^15*d^4 + 3136*B*a^9*b^13*d^4 + 4928*B*a^11*b^11*d^4 + 4480*B*a^13*b^9*d^4 + 2432*B*a^15*b^7*d^4 + 736*B*a^17*b^5*d^4 + 96*B*a^19*b^3*d^4))/4 - (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^6*b^14*d^3 - 16*B^2*a^2*b^18*d^3 + 1024*B^2*a^8*b^12*d^3 + 1440*B^2*a^10*b^10*d^3 + 1024*B^2*a^12*b^8*d^3 + 320*B^2*a^14*b^6*d^3 - 16*B^2*a^18*b^2*d^3)))/4 + 96*B^3*a^6*b^13*d^2 + 240*B^3*a^8*b^11*d^2 + 320*B^3*a^10*b^9*d^2 + 240*B^3*a^12*b^7*d^2 + 96*B^3*a^14*b^5*d^2 + 16*B^3*a^16*b^3*d^2)*(-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*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))/4 - log(16*B^3*a^4*b^15*d^2 - (((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*B*a^7*b^15*d^4 - 32*B*a*b^21*d^4 - 160*B*a^3*b^19*d^4 - 128*B*a^5*b^17*d^4 - (((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*B*a^9*b^13*d^4 + 4928*B*a^11*b^11*d^4 + 4480*B*a^13*b^9*d^4 + 2432*B*a^15*b^7*d^4 + 736*B*a^17*b^5*d^4 + 96*B*a^19*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^6*b^14*d^3 - 16*B^2*a^2*b^18*d^3 + 1024*B^2*a^8*b^12*d^3 + 1440*B^2*a^10*b^10*d^3 + 1024*B^2*a^12*b^8*d^3 + 320*B^2*a^14*b^6*d^3 - 16*B^2*a^18*b^2*d^3)) + 96*B^3*a^6*b^13*d^2 + 240*B^3*a^8*b^11*d^2 + 320*B^3*a^10*b^9*d^2 + 240*B^3*a^12*b^7*d^2 + 96*B^3*a^14*b^5*d^2 + 16*B^3*a^16*b^3*d^2)*(((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) - 4*B^2*a^7*d^2 - 20*B^2*a^3*b^4*d^2 + 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(16*B^3*a^4*b^15*d^2 - (-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(896*B*a^7*b^15*d^4 - 32*B*a*b^21*d^4 - 160*B*a^3*b^19*d^4 - 128*B*a^5*b^17*d^4 - (-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 3136*B*a^9*b^13*d^4 + 4928*B*a^11*b^11*d^4 + 4480*B*a^13*b^9*d^4 + 2432*B*a^15*b^7*d^4 + 736*B*a^17*b^5*d^4 + 96*B*a^19*b^3*d^4) + (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^6*b^14*d^3 - 16*B^2*a^2*b^18*d^3 + 1024*B^2*a^8*b^12*d^3 + 1440*B^2*a^10*b^10*d^3 + 1024*B^2*a^12*b^8*d^3 + 320*B^2*a^14*b^6*d^3 - 16*B^2*a^18*b^2*d^3)) + 96*B^3*a^6*b^13*d^2 + 240*B^3*a^8*b^11*d^2 + 320*B^3*a^10*b^9*d^2 + 240*B^3*a^12*b^7*d^2 + 96*B^3*a^14*b^5*d^2 + 16*B^3*a^16*b^3*d^2)*(-((320*B^4*a^6*b^8*d^4 - 16*B^4*a^4*b^10*d^4 - 1760*B^4*a^8*b^6*d^4 + 1600*B^4*a^10*b^4*d^4 - 400*B^4*a^12*b^2*d^4)^(1/2) + 4*B^2*a^7*d^2 + 20*B^2*a^3*b^4*d^2 - 40*B^2*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(8*B^3*b^19*d^2 - ((((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*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)*(((((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*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)*(((((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*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)*(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 + 96*B*a*b^21*d^4 + 736*B*a^3*b^19*d^4 + 2432*B*a^5*b^17*d^4 + 4480*B*a^7*b^15*d^4 + 4928*B*a^9*b^13*d^4 + 3136*B*a^11*b^11*d^4 + 896*B*a^13*b^9*d^4 - 128*B*a^15*b^7*d^4 - 160*B*a^17*b^5*d^4 - 32*B*a^19*b^3*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^16*d^3 - 16*B^2*b^20*d^3 + 1024*B^2*a^6*b^14*d^3 + 1440*B^2*a^8*b^12*d^3 + 1024*B^2*a^10*b^10*d^3 + 320*B^2*a^12*b^8*d^3 - 16*B^2*a^16*b^4*d^3)))/4 + 40*B^3*a^2*b^17*d^2 + 72*B^3*a^4*b^15*d^2 + 40*B^3*a^6*b^13*d^2 - 40*B^3*a^8*b^11*d^2 - 72*B^3*a^10*b^9*d^2 - 40*B^3*a^12*b^7*d^2 - 8*B^3*a^14*b^5*d^2)*(((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*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))/4 + (log(8*B^3*b^19*d^2 - ((-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*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)*(((-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*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)*(((-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*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)*(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 + 96*B*a*b^21*d^4 + 736*B*a^3*b^19*d^4 + 2432*B*a^5*b^17*d^4 + 4480*B*a^7*b^15*d^4 + 4928*B*a^9*b^13*d^4 + 3136*B*a^11*b^11*d^4 + 896*B*a^13*b^9*d^4 - 128*B*a^15*b^7*d^4 - 160*B*a^17*b^5*d^4 - 32*B*a^19*b^3*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^16*d^3 - 16*B^2*b^20*d^3 + 1024*B^2*a^6*b^14*d^3 + 1440*B^2*a^8*b^12*d^3 + 1024*B^2*a^10*b^10*d^3 + 320*B^2*a^12*b^8*d^3 - 16*B^2*a^16*b^4*d^3)))/4 + 40*B^3*a^2*b^17*d^2 + 72*B^3*a^4*b^15*d^2 + 40*B^3*a^6*b^13*d^2 - 40*B^3*a^8*b^11*d^2 - 72*B^3*a^10*b^9*d^2 - 40*B^3*a^12*b^7*d^2 - 8*B^3*a^14*b^5*d^2)*(-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*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))/4 - log(8*B^3*b^19*d^2 - (((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*B*a*b^21*d^4 - (((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*B*a^3*b^19*d^4 + 2432*B*a^5*b^17*d^4 + 4480*B*a^7*b^15*d^4 + 4928*B*a^9*b^13*d^4 + 3136*B*a^11*b^11*d^4 + 896*B*a^13*b^9*d^4 - 128*B*a^15*b^7*d^4 - 160*B*a^17*b^5*d^4 - 32*B*a^19*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^16*d^3 - 16*B^2*b^20*d^3 + 1024*B^2*a^6*b^14*d^3 + 1440*B^2*a^8*b^12*d^3 + 1024*B^2*a^10*b^10*d^3 + 320*B^2*a^12*b^8*d^3 - 16*B^2*a^16*b^4*d^3)) + 40*B^3*a^2*b^17*d^2 + 72*B^3*a^4*b^15*d^2 + 40*B^3*a^6*b^13*d^2 - 40*B^3*a^8*b^11*d^2 - 72*B^3*a^10*b^9*d^2 - 40*B^3*a^12*b^7*d^2 - 8*B^3*a^14*b^5*d^2)*(((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) - 40*B^2*a^3*b^4*d^2 + 4*B^2*a^5*b^2*d^2 + 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(8*B^3*b^19*d^2 - (-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*B*a*b^21*d^4 - (-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) + 736*B*a^3*b^19*d^4 + 2432*B*a^5*b^17*d^4 + 4480*B*a^7*b^15*d^4 + 4928*B*a^9*b^13*d^4 + 3136*B*a^11*b^11*d^4 + 896*B*a^13*b^9*d^4 - 128*B*a^15*b^7*d^4 - 160*B*a^17*b^5*d^4 - 32*B*a^19*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(320*B^2*a^4*b^16*d^3 - 16*B^2*b^20*d^3 + 1024*B^2*a^6*b^14*d^3 + 1440*B^2*a^8*b^12*d^3 + 1024*B^2*a^10*b^10*d^3 + 320*B^2*a^12*b^8*d^3 - 16*B^2*a^16*b^4*d^3)) + 40*B^3*a^2*b^17*d^2 + 72*B^3*a^4*b^15*d^2 + 40*B^3*a^6*b^13*d^2 - 40*B^3*a^8*b^11*d^2 - 72*B^3*a^10*b^9*d^2 - 40*B^3*a^12*b^7*d^2 - 8*B^3*a^14*b^5*d^2)*(-((320*B^4*a^2*b^12*d^4 - 16*B^4*b^14*d^4 - 1760*B^4*a^4*b^10*d^4 + 1600*B^4*a^6*b^8*d^4 - 400*B^4*a^8*b^6*d^4)^(1/2) + 40*B^2*a^3*b^4*d^2 - 4*B^2*a^5*b^2*d^2 - 20*B^2*a*b^6*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - ((2*B*a*b)/(3*(a^2 + b^2)) + (4*B*a^2*b*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2)) + ((2*B*a*b)/(3*(a^2 + b^2)) + (2*B*b*(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"
369,1,7172,154,11.763665,"\text{Not used}","int((cot(c + d*x)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\left(\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(512\,B\,a^8\,b^{28}\,d^8-\frac{\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^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)}{4}+5248\,B\,a^{10}\,b^{26}\,d^8+23936\,B\,a^{12}\,b^{24}\,d^8+64000\,B\,a^{14}\,b^{22}\,d^8+111104\,B\,a^{16}\,b^{20}\,d^8+130816\,B\,a^{18}\,b^{18}\,d^8+105728\,B\,a^{20}\,b^{16}\,d^8+57856\,B\,a^{22}\,b^{14}\,d^8+20480\,B\,a^{24}\,b^{12}\,d^8+4224\,B\,a^{26}\,b^{10}\,d^8+384\,B\,a^{28}\,b^8\,d^8\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,B^2\,a^{26}\,b^8\,d^7+3712\,B^2\,a^{24}\,b^{10}\,d^7+10112\,B^2\,a^{22}\,b^{12}\,d^7+15232\,B^2\,a^{20}\,b^{14}\,d^7+14336\,B^2\,a^{18}\,b^{16}\,d^7+9856\,B^2\,a^{16}\,b^{18}\,d^7+6272\,B^2\,a^{14}\,b^{20}\,d^7+3712\,B^2\,a^{12}\,b^{22}\,d^7+1472\,B^2\,a^{10}\,b^{24}\,d^7+256\,B^2\,a^8\,b^{26}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-128\,B^3\,a^7\,b^{26}\,d^6-128\,B^3\,a^9\,b^{24}\,d^6+2592\,B^3\,a^{11}\,b^{22}\,d^6+10976\,B^3\,a^{13}\,b^{20}\,d^6+20384\,B^3\,a^{15}\,b^{18}\,d^6+20832\,B^3\,a^{17}\,b^{16}\,d^6+11872\,B^3\,a^{19}\,b^{14}\,d^6+3232\,B^3\,a^{21}\,b^{12}\,d^6+96\,B^3\,a^{23}\,b^{10}\,d^6-96\,B^3\,a^{25}\,b^8\,d^6\right)}{4}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,B^4\,a^{23}\,b^8\,d^5+608\,B^4\,a^{21}\,b^{10}\,d^5+1568\,B^4\,a^{19}\,b^{12}\,d^5+2016\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5-224\,B^4\,a^{13}\,b^{18}\,d^5-672\,B^4\,a^{11}\,b^{20}\,d^5-352\,B^4\,a^9\,b^{22}\,d^5-64\,B^4\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\frac{\left(\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(512\,B\,a^8\,b^{28}\,d^8-\frac{\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^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)}{4}+5248\,B\,a^{10}\,b^{26}\,d^8+23936\,B\,a^{12}\,b^{24}\,d^8+64000\,B\,a^{14}\,b^{22}\,d^8+111104\,B\,a^{16}\,b^{20}\,d^8+130816\,B\,a^{18}\,b^{18}\,d^8+105728\,B\,a^{20}\,b^{16}\,d^8+57856\,B\,a^{22}\,b^{14}\,d^8+20480\,B\,a^{24}\,b^{12}\,d^8+4224\,B\,a^{26}\,b^{10}\,d^8+384\,B\,a^{28}\,b^8\,d^8\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,B^2\,a^{26}\,b^8\,d^7+3712\,B^2\,a^{24}\,b^{10}\,d^7+10112\,B^2\,a^{22}\,b^{12}\,d^7+15232\,B^2\,a^{20}\,b^{14}\,d^7+14336\,B^2\,a^{18}\,b^{16}\,d^7+9856\,B^2\,a^{16}\,b^{18}\,d^7+6272\,B^2\,a^{14}\,b^{20}\,d^7+3712\,B^2\,a^{12}\,b^{22}\,d^7+1472\,B^2\,a^{10}\,b^{24}\,d^7+256\,B^2\,a^8\,b^{26}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-128\,B^3\,a^7\,b^{26}\,d^6-128\,B^3\,a^9\,b^{24}\,d^6+2592\,B^3\,a^{11}\,b^{22}\,d^6+10976\,B^3\,a^{13}\,b^{20}\,d^6+20384\,B^3\,a^{15}\,b^{18}\,d^6+20832\,B^3\,a^{17}\,b^{16}\,d^6+11872\,B^3\,a^{19}\,b^{14}\,d^6+3232\,B^3\,a^{21}\,b^{12}\,d^6+96\,B^3\,a^{23}\,b^{10}\,d^6-96\,B^3\,a^{25}\,b^8\,d^6\right)}{4}-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,B^4\,a^{23}\,b^8\,d^5+608\,B^4\,a^{21}\,b^{10}\,d^5+1568\,B^4\,a^{19}\,b^{12}\,d^5+2016\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5-224\,B^4\,a^{13}\,b^{18}\,d^5-672\,B^4\,a^{11}\,b^{20}\,d^5-352\,B^4\,a^9\,b^{22}\,d^5-64\,B^4\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,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\,B\,a^8\,b^{28}\,d^8+5248\,B\,a^{10}\,b^{26}\,d^8+23936\,B\,a^{12}\,b^{24}\,d^8+64000\,B\,a^{14}\,b^{22}\,d^8+111104\,B\,a^{16}\,b^{20}\,d^8+130816\,B\,a^{18}\,b^{18}\,d^8+105728\,B\,a^{20}\,b^{16}\,d^8+57856\,B\,a^{22}\,b^{14}\,d^8+20480\,B\,a^{24}\,b^{12}\,d^8+4224\,B\,a^{26}\,b^{10}\,d^8+384\,B\,a^{28}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,B^2\,a^{26}\,b^8\,d^7+3712\,B^2\,a^{24}\,b^{10}\,d^7+10112\,B^2\,a^{22}\,b^{12}\,d^7+15232\,B^2\,a^{20}\,b^{14}\,d^7+14336\,B^2\,a^{18}\,b^{16}\,d^7+9856\,B^2\,a^{16}\,b^{18}\,d^7+6272\,B^2\,a^{14}\,b^{20}\,d^7+3712\,B^2\,a^{12}\,b^{22}\,d^7+1472\,B^2\,a^{10}\,b^{24}\,d^7+256\,B^2\,a^8\,b^{26}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-128\,B^3\,a^7\,b^{26}\,d^6-128\,B^3\,a^9\,b^{24}\,d^6+2592\,B^3\,a^{11}\,b^{22}\,d^6+10976\,B^3\,a^{13}\,b^{20}\,d^6+20384\,B^3\,a^{15}\,b^{18}\,d^6+20832\,B^3\,a^{17}\,b^{16}\,d^6+11872\,B^3\,a^{19}\,b^{14}\,d^6+3232\,B^3\,a^{21}\,b^{12}\,d^6+96\,B^3\,a^{23}\,b^{10}\,d^6-96\,B^3\,a^{25}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,B^4\,a^{23}\,b^8\,d^5+608\,B^4\,a^{21}\,b^{10}\,d^5+1568\,B^4\,a^{19}\,b^{12}\,d^5+2016\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5-224\,B^4\,a^{13}\,b^{18}\,d^5-672\,B^4\,a^{11}\,b^{20}\,d^5-352\,B^4\,a^9\,b^{22}\,d^5-64\,B^4\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}+4\,B^2\,a^3\,d^2-12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,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\,B\,a^8\,b^{28}\,d^8+5248\,B\,a^{10}\,b^{26}\,d^8+23936\,B\,a^{12}\,b^{24}\,d^8+64000\,B\,a^{14}\,b^{22}\,d^8+111104\,B\,a^{16}\,b^{20}\,d^8+130816\,B\,a^{18}\,b^{18}\,d^8+105728\,B\,a^{20}\,b^{16}\,d^8+57856\,B\,a^{22}\,b^{14}\,d^8+20480\,B\,a^{24}\,b^{12}\,d^8+4224\,B\,a^{26}\,b^{10}\,d^8+384\,B\,a^{28}\,b^8\,d^8\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(576\,B^2\,a^{26}\,b^8\,d^7+3712\,B^2\,a^{24}\,b^{10}\,d^7+10112\,B^2\,a^{22}\,b^{12}\,d^7+15232\,B^2\,a^{20}\,b^{14}\,d^7+14336\,B^2\,a^{18}\,b^{16}\,d^7+9856\,B^2\,a^{16}\,b^{18}\,d^7+6272\,B^2\,a^{14}\,b^{20}\,d^7+3712\,B^2\,a^{12}\,b^{22}\,d^7+1472\,B^2\,a^{10}\,b^{24}\,d^7+256\,B^2\,a^8\,b^{26}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-128\,B^3\,a^7\,b^{26}\,d^6-128\,B^3\,a^9\,b^{24}\,d^6+2592\,B^3\,a^{11}\,b^{22}\,d^6+10976\,B^3\,a^{13}\,b^{20}\,d^6+20384\,B^3\,a^{15}\,b^{18}\,d^6+20832\,B^3\,a^{17}\,b^{16}\,d^6+11872\,B^3\,a^{19}\,b^{14}\,d^6+3232\,B^3\,a^{21}\,b^{12}\,d^6+96\,B^3\,a^{23}\,b^{10}\,d^6-96\,B^3\,a^{25}\,b^8\,d^6\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(96\,B^4\,a^{23}\,b^8\,d^5+608\,B^4\,a^{21}\,b^{10}\,d^5+1568\,B^4\,a^{19}\,b^{12}\,d^5+2016\,B^4\,a^{17}\,b^{14}\,d^5+1120\,B^4\,a^{15}\,b^{16}\,d^5-224\,B^4\,a^{13}\,b^{18}\,d^5-672\,B^4\,a^{11}\,b^{20}\,d^5-352\,B^4\,a^9\,b^{22}\,d^5-64\,B^4\,a^7\,b^{24}\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{-144\,B^4\,a^4\,b^2\,d^4+96\,B^4\,a^2\,b^4\,d^4-16\,B^4\,b^6\,d^4}-4\,B^2\,a^3\,d^2+12\,B^2\,a\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{2\,B\,b^2}{d\,\left(a^3+a\,b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}+\frac{B\,\mathrm{atan}\left(\frac{B^5\,a^3\,b^{28}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1024{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^5\,b^{26}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,10240{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^7\,b^{24}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,47616{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^9\,b^{22}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,133184{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^{11}\,b^{20}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,244160{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^{13}\,b^{18}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,302400{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^{15}\,b^{16}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,253120{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^{17}\,b^{14}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,139456{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^{19}\,b^{12}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,47424{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^{21}\,b^{10}\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,8640{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}+\frac{B^5\,a^{23}\,b^8\,d^4\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,576{}\mathrm{i}}{\sqrt{a^3}\,\left(576\,B^5\,a^{22}\,b^8\,d^4+8640\,B^5\,a^{20}\,b^{10}\,d^4+47424\,B^5\,a^{18}\,b^{12}\,d^4+139456\,B^5\,a^{16}\,b^{14}\,d^4+253120\,B^5\,a^{14}\,b^{16}\,d^4+302400\,B^5\,a^{12}\,b^{18}\,d^4+244160\,B^5\,a^{10}\,b^{20}\,d^4+133184\,B^5\,a^8\,b^{22}\,d^4+47616\,B^5\,a^6\,b^{24}\,d^4+10240\,B^5\,a^4\,b^{26}\,d^4+1024\,B^5\,a^2\,b^{28}\,d^4\right)}\right)\,2{}\mathrm{i}}{d\,\sqrt{a^3}}","Not used",1,"(log(((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(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*B*a^8*b^28*d^8 - ((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(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)*(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))/4 + 5248*B*a^10*b^26*d^8 + 23936*B*a^12*b^24*d^8 + 64000*B*a^14*b^22*d^8 + 111104*B*a^16*b^20*d^8 + 130816*B*a^18*b^18*d^8 + 105728*B*a^20*b^16*d^8 + 57856*B*a^22*b^14*d^8 + 20480*B*a^24*b^12*d^8 + 4224*B*a^26*b^10*d^8 + 384*B*a^28*b^8*d^8))/4 + (a + b*tan(c + d*x))^(1/2)*(256*B^2*a^8*b^26*d^7 + 1472*B^2*a^10*b^24*d^7 + 3712*B^2*a^12*b^22*d^7 + 6272*B^2*a^14*b^20*d^7 + 9856*B^2*a^16*b^18*d^7 + 14336*B^2*a^18*b^16*d^7 + 15232*B^2*a^20*b^14*d^7 + 10112*B^2*a^22*b^12*d^7 + 3712*B^2*a^24*b^10*d^7 + 576*B^2*a^26*b^8*d^7))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 128*B^3*a^7*b^26*d^6 - 128*B^3*a^9*b^24*d^6 + 2592*B^3*a^11*b^22*d^6 + 10976*B^3*a^13*b^20*d^6 + 20384*B^3*a^15*b^18*d^6 + 20832*B^3*a^17*b^16*d^6 + 11872*B^3*a^19*b^14*d^6 + 3232*B^3*a^21*b^12*d^6 + 96*B^3*a^23*b^10*d^6 - 96*B^3*a^25*b^8*d^6))/4 - (a + b*tan(c + d*x))^(1/2)*(1120*B^4*a^15*b^16*d^5 - 352*B^4*a^9*b^22*d^5 - 672*B^4*a^11*b^20*d^5 - 224*B^4*a^13*b^18*d^5 - 64*B^4*a^7*b^24*d^5 + 2016*B^4*a^17*b^14*d^5 + 1568*B^4*a^19*b^12*d^5 + 608*B^4*a^21*b^10*d^5 + 96*B^4*a^23*b^8*d^5))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log(((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(((((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(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*B*a^8*b^28*d^8 - ((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(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)*(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))/4 + 5248*B*a^10*b^26*d^8 + 23936*B*a^12*b^24*d^8 + 64000*B*a^14*b^22*d^8 + 111104*B*a^16*b^20*d^8 + 130816*B*a^18*b^18*d^8 + 105728*B*a^20*b^16*d^8 + 57856*B*a^22*b^14*d^8 + 20480*B*a^24*b^12*d^8 + 4224*B*a^26*b^10*d^8 + 384*B*a^28*b^8*d^8))/4 + (a + b*tan(c + d*x))^(1/2)*(256*B^2*a^8*b^26*d^7 + 1472*B^2*a^10*b^24*d^7 + 3712*B^2*a^12*b^22*d^7 + 6272*B^2*a^14*b^20*d^7 + 9856*B^2*a^16*b^18*d^7 + 14336*B^2*a^18*b^16*d^7 + 15232*B^2*a^20*b^14*d^7 + 10112*B^2*a^22*b^12*d^7 + 3712*B^2*a^24*b^10*d^7 + 576*B^2*a^26*b^8*d^7))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - 128*B^3*a^7*b^26*d^6 - 128*B^3*a^9*b^24*d^6 + 2592*B^3*a^11*b^22*d^6 + 10976*B^3*a^13*b^20*d^6 + 20384*B^3*a^15*b^18*d^6 + 20832*B^3*a^17*b^16*d^6 + 11872*B^3*a^19*b^14*d^6 + 3232*B^3*a^21*b^12*d^6 + 96*B^3*a^23*b^10*d^6 - 96*B^3*a^25*b^8*d^6))/4 - (a + b*tan(c + d*x))^(1/2)*(1120*B^4*a^15*b^16*d^5 - 352*B^4*a^9*b^22*d^5 - 672*B^4*a^11*b^20*d^5 - 224*B^4*a^13*b^18*d^5 - 64*B^4*a^7*b^24*d^5 + 2016*B^4*a^17*b^14*d^5 + 1568*B^4*a^19*b^12*d^5 + 608*B^4*a^21*b^10*d^5 + 96*B^4*a^23*b^8*d^5))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*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*B*a^8*b^28*d^8 + 5248*B*a^10*b^26*d^8 + 23936*B*a^12*b^24*d^8 + 64000*B*a^14*b^22*d^8 + 111104*B*a^16*b^20*d^8 + 130816*B*a^18*b^18*d^8 + 105728*B*a^20*b^16*d^8 + 57856*B*a^22*b^14*d^8 + 20480*B*a^24*b^12*d^8 + 4224*B*a^26*b^10*d^8 + 384*B*a^28*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(256*B^2*a^8*b^26*d^7 + 1472*B^2*a^10*b^24*d^7 + 3712*B^2*a^12*b^22*d^7 + 6272*B^2*a^14*b^20*d^7 + 9856*B^2*a^16*b^18*d^7 + 14336*B^2*a^18*b^16*d^7 + 15232*B^2*a^20*b^14*d^7 + 10112*B^2*a^22*b^12*d^7 + 3712*B^2*a^24*b^10*d^7 + 576*B^2*a^26*b^8*d^7))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 128*B^3*a^7*b^26*d^6 - 128*B^3*a^9*b^24*d^6 + 2592*B^3*a^11*b^22*d^6 + 10976*B^3*a^13*b^20*d^6 + 20384*B^3*a^15*b^18*d^6 + 20832*B^3*a^17*b^16*d^6 + 11872*B^3*a^19*b^14*d^6 + 3232*B^3*a^21*b^12*d^6 + 96*B^3*a^23*b^10*d^6 - 96*B^3*a^25*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*B^4*a^15*b^16*d^5 - 352*B^4*a^9*b^22*d^5 - 672*B^4*a^11*b^20*d^5 - 224*B^4*a^13*b^18*d^5 - 64*B^4*a^7*b^24*d^5 + 2016*B^4*a^17*b^14*d^5 + 1568*B^4*a^19*b^12*d^5 + 608*B^4*a^21*b^10*d^5 + 96*B^4*a^23*b^8*d^5))*(((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) + 4*B^2*a^3*d^2 - 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*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*B*a^8*b^28*d^8 + 5248*B*a^10*b^26*d^8 + 23936*B*a^12*b^24*d^8 + 64000*B*a^14*b^22*d^8 + 111104*B*a^16*b^20*d^8 + 130816*B*a^18*b^18*d^8 + 105728*B*a^20*b^16*d^8 + 57856*B*a^22*b^14*d^8 + 20480*B*a^24*b^12*d^8 + 4224*B*a^26*b^10*d^8 + 384*B*a^28*b^8*d^8) - (a + b*tan(c + d*x))^(1/2)*(256*B^2*a^8*b^26*d^7 + 1472*B^2*a^10*b^24*d^7 + 3712*B^2*a^12*b^22*d^7 + 6272*B^2*a^14*b^20*d^7 + 9856*B^2*a^16*b^18*d^7 + 14336*B^2*a^18*b^16*d^7 + 15232*B^2*a^20*b^14*d^7 + 10112*B^2*a^22*b^12*d^7 + 3712*B^2*a^24*b^10*d^7 + 576*B^2*a^26*b^8*d^7))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 128*B^3*a^7*b^26*d^6 - 128*B^3*a^9*b^24*d^6 + 2592*B^3*a^11*b^22*d^6 + 10976*B^3*a^13*b^20*d^6 + 20384*B^3*a^15*b^18*d^6 + 20832*B^3*a^17*b^16*d^6 + 11872*B^3*a^19*b^14*d^6 + 3232*B^3*a^21*b^12*d^6 + 96*B^3*a^23*b^10*d^6 - 96*B^3*a^25*b^8*d^6) + (a + b*tan(c + d*x))^(1/2)*(1120*B^4*a^15*b^16*d^5 - 352*B^4*a^9*b^22*d^5 - 672*B^4*a^11*b^20*d^5 - 224*B^4*a^13*b^18*d^5 - 64*B^4*a^7*b^24*d^5 + 2016*B^4*a^17*b^14*d^5 + 1568*B^4*a^19*b^12*d^5 + 608*B^4*a^21*b^10*d^5 + 96*B^4*a^23*b^8*d^5))*(-((96*B^4*a^2*b^4*d^4 - 16*B^4*b^6*d^4 - 144*B^4*a^4*b^2*d^4)^(1/2) - 4*B^2*a^3*d^2 + 12*B^2*a*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (B*atan((B^5*a^3*b^28*d^4*(a + b*tan(c + d*x))^(1/2)*1024i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^5*b^26*d^4*(a + b*tan(c + d*x))^(1/2)*10240i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^7*b^24*d^4*(a + b*tan(c + d*x))^(1/2)*47616i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^9*b^22*d^4*(a + b*tan(c + d*x))^(1/2)*133184i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^11*b^20*d^4*(a + b*tan(c + d*x))^(1/2)*244160i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^13*b^18*d^4*(a + b*tan(c + d*x))^(1/2)*302400i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^15*b^16*d^4*(a + b*tan(c + d*x))^(1/2)*253120i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^17*b^14*d^4*(a + b*tan(c + d*x))^(1/2)*139456i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^19*b^12*d^4*(a + b*tan(c + d*x))^(1/2)*47424i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^21*b^10*d^4*(a + b*tan(c + d*x))^(1/2)*8640i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)) + (B^5*a^23*b^8*d^4*(a + b*tan(c + d*x))^(1/2)*576i)/((a^3)^(1/2)*(1024*B^5*a^2*b^28*d^4 + 10240*B^5*a^4*b^26*d^4 + 47616*B^5*a^6*b^24*d^4 + 133184*B^5*a^8*b^22*d^4 + 244160*B^5*a^10*b^20*d^4 + 302400*B^5*a^12*b^18*d^4 + 253120*B^5*a^14*b^16*d^4 + 139456*B^5*a^16*b^14*d^4 + 47424*B^5*a^18*b^12*d^4 + 8640*B^5*a^20*b^10*d^4 + 576*B^5*a^22*b^8*d^4)))*2i)/(d*(a^3)^(1/2)) + (2*B*b^2)/(d*(a*b^2 + a^3)*(a + b*tan(c + d*x))^(1/2))","B"
370,1,2731,102,8.509348,"\text{Not used}","int(-(a - b*tan(c + d*x))/(a + b*tan(c + d*x))^(1/2),x)","2\,\mathrm{atanh}\left(\frac{32\,a^2\,b^2\,\sqrt{\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a^4\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{4\,a\,b^3\,d^2\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,a^4\,b^2\,d^4}}{\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}-\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,a^4\,b^2\,d^2\,\sqrt{\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}-\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,a^2\,b^4\,d^2\,\sqrt{\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-16\,a^2\,b^5\,d-16\,b^7\,d+\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,b^4\,\sqrt{\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a^2\,b^5\,d^3}{a^2\,d^4+b^2\,d^4}-\frac{16\,b^5}{d}+\frac{4\,a\,b^3\,d^2\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,b^6\,d^4}}{\frac{16\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-16\,a^2\,b^5\,d-16\,b^7\,d+\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}+\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{32\,b^4\,\sqrt{\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,b^5}{d}-\frac{16\,a^2\,b^5\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,a\,b^3\,d^2\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,a^2\,b^4\,d^2\,\sqrt{\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{16\,b^7\,d+16\,a^2\,b^5\,d-\frac{16\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{8\,a\,b^2\,\sqrt{\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,b^6\,d^4}}{16\,b^7\,d+16\,a^2\,b^5\,d-\frac{16\,a^2\,b^7\,d^5}{a^2\,d^4+b^2\,d^4}-\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,b^6\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{\frac{a\,b^2\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{\sqrt{-16\,b^6\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}}-2\,\mathrm{atanh}\left(\frac{8\,a\,b^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-16\,a^4\,b^2\,d^4}}{\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}-\frac{32\,a^2\,b^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a^4\,b^3\,d^3}{a^2\,d^4+b^2\,d^4}+\frac{4\,a\,b^3\,d^2\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}+\frac{32\,a^4\,b^2\,d^2\,\sqrt{-\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{\frac{16\,a^4\,b^5\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{16\,a^6\,b^3\,d^5}{a^2\,d^4+b^2\,d^4}+\frac{4\,a^3\,b^3\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}+\frac{4\,a\,b^5\,d^4\,\sqrt{-16\,a^4\,b^2\,d^4}}{a^2\,d^5+b^2\,d^5}}\right)\,\sqrt{-\frac{\sqrt{-16\,a^4\,b^2\,d^4}}{16\,\left(a^2\,d^4+b^2\,d^4\right)}-\frac{a^3\,d^2}{4\,\left(a^2\,d^4+b^2\,d^4\right)}}","Not used",1,"2*atanh((32*a^2*b^2*((-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a^4*b^3*d^3)/(a^2*d^4 + b^2*d^4) - (4*a*b^3*d^2*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*a^4*b^2*d^4)^(1/2))/((16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*a^3*b^3*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) - (4*a*b^5*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*a^4*b^2*d^2*((-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) - (4*a^3*b^3*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) - (4*a*b^5*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((32*a^2*b^4*d^2*((-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - 16*a^2*b^5*d - 16*b^7*d + (16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*a*b^5*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*a^3*b^3*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*b^4*((-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a^2*b^5*d^3)/(a^2*d^4 + b^2*d^4) - (16*b^5)/d + (4*a*b^3*d^2*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*b^6*d^4)^(1/2))/((16*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - 16*a^2*b^5*d - 16*b^7*d + (16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*a*b^5*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*a^3*b^3*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) + (a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((32*b^4*((a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*b^5)/d - (16*a^2*b^5*d^3)/(a^2*d^4 + b^2*d^4) + (4*a*b^3*d^2*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*a^2*b^4*d^2*((a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/(16*b^7*d + 16*a^2*b^5*d - (16*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - (16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*a*b^5*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*a^3*b^3*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (8*a*b^2*((a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*b^6*d^4)^(1/2))/(16*b^7*d + 16*a^2*b^5*d - (16*a^2*b^7*d^5)/(a^2*d^4 + b^2*d^4) - (16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (4*a*b^5*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*a^3*b^3*d^4*(-16*b^6*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*((a*b^2*d^2)/(4*(a^2*d^4 + b^2*d^4)) - (-16*b^6*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)))^(1/2) - 2*atanh((8*a*b^2*(- (-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-16*a^4*b^2*d^4)^(1/2))/((16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*a^3*b^3*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*a*b^5*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) - (32*a^2*b^2*(- (-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a^4*b^3*d^3)/(a^2*d^4 + b^2*d^4) + (4*a*b^3*d^2*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)) + (32*a^4*b^2*d^2*(- (-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)*(a + b*tan(c + d*x))^(1/2))/((16*a^4*b^5*d^5)/(a^2*d^4 + b^2*d^4) + (16*a^6*b^3*d^5)/(a^2*d^4 + b^2*d^4) + (4*a^3*b^3*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5) + (4*a*b^5*d^4*(-16*a^4*b^2*d^4)^(1/2))/(a^2*d^5 + b^2*d^5)))*(- (-16*a^4*b^2*d^4)^(1/2)/(16*(a^2*d^4 + b^2*d^4)) - (a^3*d^2)/(4*(a^2*d^4 + b^2*d^4)))^(1/2)","B"
371,1,5475,132,11.922089,"\text{Not used}","int(-(a - b*tan(c + d*x))/(a + b*tan(c + d*x))^(3/2),x)","\ln\left(-\left(\sqrt{\frac{\sqrt{\frac{{\left(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,\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(32\,b^{13}\,d^4+96\,a^2\,b^{11}\,d^4+64\,a^4\,b^9\,d^4-64\,a^6\,b^7\,d^4-96\,a^8\,b^5\,d^4-32\,a^{10}\,b^3\,d^4+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{\frac{{\left(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,\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(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)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^4\,d^3-32\,a^6\,b^6\,d^3+32\,a^2\,b^{10}\,d^3+16\,b^{12}\,d^3\right)\right)\,\sqrt{\frac{\sqrt{\frac{{\left(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-8\,a\,b^{11}\,d^2-24\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-8\,a^7\,b^5\,d^2\right)\,\sqrt{\frac{\sqrt{\frac{{\left(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,\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(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,\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(32\,b^{13}\,d^4+96\,a^2\,b^{11}\,d^4+64\,a^4\,b^9\,d^4-64\,a^6\,b^7\,d^4-96\,a^8\,b^5\,d^4-32\,a^{10}\,b^3\,d^4+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{\frac{{\left(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,\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(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)\right)+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^4\,d^3-32\,a^6\,b^6\,d^3+32\,a^2\,b^{10}\,d^3+16\,b^{12}\,d^3\right)\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}-8\,a\,b^{11}\,d^2-24\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-8\,a^7\,b^5\,d^2\right)\,\sqrt{-\frac{\sqrt{\frac{{\left(24\,a\,b^4\,d^2-8\,a^3\,b^2\,d^2\right)}^2}{4}-b^4\,\left(16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4\right)}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,\left(a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4\right)}}+\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{10}\,b^2\,d^3-32\,a^8\,b^4\,d^3+32\,a^4\,b^8\,d^3+16\,a^2\,b^{10}\,d^3\right)+\frac{\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(64\,a^2\,b^{11}\,d^4+256\,a^4\,b^9\,d^4+384\,a^6\,b^7\,d^4+256\,a^8\,b^5\,d^4+64\,a^{10}\,b^3\,d^4-\frac{\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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)}{4}\right)}{4}-8\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-24\,a^7\,b^5\,d^2-8\,a^9\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}+\frac{\ln\left(\frac{\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{10}\,b^2\,d^3-32\,a^8\,b^4\,d^3+32\,a^4\,b^8\,d^3+16\,a^2\,b^{10}\,d^3\right)+\frac{\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\left(64\,a^2\,b^{11}\,d^4+256\,a^4\,b^9\,d^4+384\,a^6\,b^7\,d^4+256\,a^8\,b^5\,d^4+64\,a^{10}\,b^3\,d^4-\frac{\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}\,\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)}{4}\right)}{4}-8\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-24\,a^7\,b^5\,d^2-8\,a^9\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{a^6\,d^4+3\,a^4\,b^2\,d^4+3\,a^2\,b^4\,d^4+b^6\,d^4}}}{4}-\ln\left(-\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{10}\,b^2\,d^3-32\,a^8\,b^4\,d^3+32\,a^4\,b^8\,d^3+16\,a^2\,b^{10}\,d^3\right)-\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,a^2\,b^{11}\,d^4+256\,a^4\,b^9\,d^4+384\,a^6\,b^7\,d^4+256\,a^8\,b^5\,d^4+64\,a^{10}\,b^3\,d^4+\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)\right)\right)-8\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-24\,a^7\,b^5\,d^2-8\,a^9\,b^3\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}-4\,a^5\,d^2+12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(-\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{10}\,b^2\,d^3-32\,a^8\,b^4\,d^3+32\,a^4\,b^8\,d^3+16\,a^2\,b^{10}\,d^3\right)-\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(64\,a^2\,b^{11}\,d^4+256\,a^4\,b^9\,d^4+384\,a^6\,b^7\,d^4+256\,a^8\,b^5\,d^4+64\,a^{10}\,b^3\,d^4+\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)\right)\right)-8\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-24\,a^7\,b^5\,d^2-8\,a^9\,b^3\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,a^8\,b^2\,d^4+96\,a^6\,b^4\,d^4-16\,a^4\,b^6\,d^4}+4\,a^5\,d^2-12\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^4\,d^3-32\,a^6\,b^6\,d^3+32\,a^2\,b^{10}\,d^3+16\,b^{12}\,d^3\right)+\sqrt{\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,b^{13}\,d^4-96\,a^2\,b^{11}\,d^4-64\,a^4\,b^9\,d^4+64\,a^6\,b^7\,d^4+96\,a^8\,b^5\,d^4+32\,a^{10}\,b^3\,d^4\right)\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-8\,a\,b^{11}\,d^2-24\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-8\,a^7\,b^5\,d^2\right)\,\sqrt{\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}-12\,a\,b^4\,d^2+4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-\ln\left(\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^8\,b^4\,d^3-32\,a^6\,b^6\,d^3+32\,a^2\,b^{10}\,d^3+16\,b^{12}\,d^3\right)+\sqrt{-\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}\,\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)-32\,b^{13}\,d^4-96\,a^2\,b^{11}\,d^4-64\,a^4\,b^9\,d^4+64\,a^6\,b^7\,d^4+96\,a^8\,b^5\,d^4+32\,a^{10}\,b^3\,d^4\right)\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}-8\,a\,b^{11}\,d^2-24\,a^3\,b^9\,d^2-24\,a^5\,b^7\,d^2-8\,a^7\,b^5\,d^2\right)\,\sqrt{-\frac{\sqrt{-144\,a^4\,b^6\,d^4+96\,a^2\,b^8\,d^4-16\,b^{10}\,d^4}+12\,a\,b^4\,d^2-4\,a^3\,b^2\,d^2}{16\,a^6\,d^4+48\,a^4\,b^2\,d^4+48\,a^2\,b^4\,d^4+16\,b^6\,d^4}}+\frac{4\,a\,b}{d\,\left(a^2+b^2\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"log(- (((((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(32*b^13*d^4 + 96*a^2*b^11*d^4 + 64*a^4*b^9*d^4 - 64*a^6*b^7*d^4 - 96*a^8*b^5*d^4 - 32*a^10*b^3*d^4 + (a + b*tan(c + d*x))^(1/2)*((((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(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)) + (a + b*tan(c + d*x))^(1/2)*(16*b^12*d^3 + 32*a^2*b^10*d^3 - 32*a^6*b^6*d^3 - 16*a^8*b^4*d^3))*((((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*(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*b^11*d^2 - 24*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 8*a^7*b^5*d^2)*((((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*(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(- ((-(((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(1/2)*(32*b^13*d^4 + 96*a^2*b^11*d^4 + 64*a^4*b^9*d^4 - 64*a^6*b^7*d^4 - 96*a^8*b^5*d^4 - 32*a^10*b^3*d^4 + (a + b*tan(c + d*x))^(1/2)*(-(((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4)))^(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)) + (a + b*tan(c + d*x))^(1/2)*(16*b^12*d^3 + 32*a^2*b^10*d^3 - 32*a^6*b^6*d^3 - 16*a^8*b^4*d^3))*(-(((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*(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*b^11*d^2 - 24*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 8*a^7*b^5*d^2)*(-(((24*a*b^4*d^2 - 8*a^3*b^2*d^2)^2/4 - b^4*(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*(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(((((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(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)*(16*a^2*b^10*d^3 + 32*a^4*b^8*d^3 - 32*a^8*b^4*d^3 - 16*a^10*b^2*d^3) + ((((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(64*a^2*b^11*d^4 + 256*a^4*b^9*d^4 + 384*a^6*b^7*d^4 + 256*a^8*b^5*d^4 + 64*a^10*b^3*d^4 - ((((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(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)*(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))/4))/4 - 8*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 24*a^7*b^5*d^2 - 8*a^9*b^3*d^2)*(((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 + (log(((-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(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)*(16*a^2*b^10*d^3 + 32*a^4*b^8*d^3 - 32*a^8*b^4*d^3 - 16*a^10*b^2*d^3) + ((-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2)*(64*a^2*b^11*d^4 + 256*a^4*b^9*d^4 + 384*a^6*b^7*d^4 + 256*a^8*b^5*d^4 + 64*a^10*b^3*d^4 - ((-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(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)*(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))/4))/4 - 8*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 24*a^7*b^5*d^2 - 8*a^9*b^3*d^2)*(-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(a^6*d^4 + b^6*d^4 + 3*a^2*b^4*d^4 + 3*a^4*b^2*d^4))^(1/2))/4 - log(- (((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*a^2*b^10*d^3 + 32*a^4*b^8*d^3 - 32*a^8*b^4*d^3 - 16*a^10*b^2*d^3) - (((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*a^2*b^11*d^4 + 256*a^4*b^9*d^4 + 384*a^6*b^7*d^4 + 256*a^8*b^5*d^4 + 64*a^10*b^3*d^4 + (((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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))) - 8*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 24*a^7*b^5*d^2 - 8*a^9*b^3*d^2)*(((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) - 4*a^5*d^2 + 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(- (-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(16*a^2*b^10*d^3 + 32*a^4*b^8*d^3 - 32*a^8*b^4*d^3 - 16*a^10*b^2*d^3) - (-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*(64*a^2*b^11*d^4 + 256*a^4*b^9*d^4 + 384*a^6*b^7*d^4 + 256*a^8*b^5*d^4 + 64*a^10*b^3*d^4 + (-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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))) - 8*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 24*a^7*b^5*d^2 - 8*a^9*b^3*d^2)*(-((96*a^6*b^4*d^4 - 16*a^4*b^6*d^4 - 144*a^8*b^2*d^4)^(1/2) + 4*a^5*d^2 - 12*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(16*b^12*d^3 + 32*a^2*b^10*d^3 - 32*a^6*b^6*d^3 - 16*a^8*b^4*d^3) + (((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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^13*d^4 - 96*a^2*b^11*d^4 - 64*a^4*b^9*d^4 + 64*a^6*b^7*d^4 + 96*a^8*b^5*d^4 + 32*a^10*b^3*d^4))*(((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 8*a*b^11*d^2 - 24*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 8*a^7*b^5*d^2)*(((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) - 12*a*b^4*d^2 + 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - log(((a + b*tan(c + d*x))^(1/2)*(16*b^12*d^3 + 32*a^2*b^10*d^3 - 32*a^6*b^6*d^3 - 16*a^8*b^4*d^3) + (-((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2)*((-((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(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^13*d^4 - 96*a^2*b^11*d^4 - 64*a^4*b^9*d^4 + 64*a^6*b^7*d^4 + 96*a^8*b^5*d^4 + 32*a^10*b^3*d^4))*(-((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) - 8*a*b^11*d^2 - 24*a^3*b^9*d^2 - 24*a^5*b^7*d^2 - 8*a^7*b^5*d^2)*(-((96*a^2*b^8*d^4 - 16*b^10*d^4 - 144*a^4*b^6*d^4)^(1/2) + 12*a*b^4*d^2 - 4*a^3*b^2*d^2)/(16*a^6*d^4 + 16*b^6*d^4 + 48*a^2*b^4*d^4 + 48*a^4*b^2*d^4))^(1/2) + (4*a*b)/(d*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/2))","B"
372,1,8437,174,21.256830,"\text{Not used}","int(-(a - b*tan(c + d*x))/(a + b*tan(c + d*x))^(5/2),x)","\frac{\ln\left(\frac{\left(\frac{\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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(896\,a^7\,b^{15}\,d^4-32\,a\,b^{21}\,d^4-160\,a^3\,b^{19}\,d^4-128\,a^5\,b^{17}\,d^4-\frac{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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(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}+3136\,a^9\,b^{13}\,d^4+4928\,a^{11}\,b^{11}\,d^4+4480\,a^{13}\,b^9\,d^4+2432\,a^{15}\,b^7\,d^4+736\,a^{17}\,b^5\,d^4+96\,a^{19}\,b^3\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{18}\,b^2\,d^3+320\,a^{14}\,b^6\,d^3+1024\,a^{12}\,b^8\,d^3+1440\,a^{10}\,b^{10}\,d^3+1024\,a^8\,b^{12}\,d^3+320\,a^6\,b^{14}\,d^3-16\,a^2\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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}}}{4}-16\,a^4\,b^{15}\,d^2-96\,a^6\,b^{13}\,d^2-240\,a^8\,b^{11}\,d^2-320\,a^{10}\,b^9\,d^2-240\,a^{12}\,b^7\,d^2-96\,a^{14}\,b^5\,d^2-16\,a^{16}\,b^3\,d^2\right)\,\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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}}}{4}-\ln\left(\left(\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)-32\,a\,b^{21}\,d^4-160\,a^3\,b^{19}\,d^4-128\,a^5\,b^{17}\,d^4+896\,a^7\,b^{15}\,d^4+3136\,a^9\,b^{13}\,d^4+4928\,a^{11}\,b^{11}\,d^4+4480\,a^{13}\,b^9\,d^4+2432\,a^{15}\,b^7\,d^4+736\,a^{17}\,b^5\,d^4+96\,a^{19}\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{18}\,b^2\,d^3+320\,a^{14}\,b^6\,d^3+1024\,a^{12}\,b^8\,d^3+1440\,a^{10}\,b^{10}\,d^3+1024\,a^8\,b^{12}\,d^3+320\,a^6\,b^{14}\,d^3-16\,a^2\,b^{18}\,d^3\right)\right)\,\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-16\,a^4\,b^{15}\,d^2-96\,a^6\,b^{13}\,d^2-240\,a^8\,b^{11}\,d^2-320\,a^{10}\,b^9\,d^2-240\,a^{12}\,b^7\,d^2-96\,a^{14}\,b^5\,d^2-16\,a^{16}\,b^3\,d^2\right)\,\sqrt{-\frac{4\,a^7\,d^2+\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(\frac{\sqrt{-\frac{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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(896\,a^7\,b^{15}\,d^4-\frac{\sqrt{-\frac{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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(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}-160\,a^3\,b^{19}\,d^4-128\,a^5\,b^{17}\,d^4-32\,a\,b^{21}\,d^4+3136\,a^9\,b^{13}\,d^4+4928\,a^{11}\,b^{11}\,d^4+4480\,a^{13}\,b^9\,d^4+2432\,a^{15}\,b^7\,d^4+736\,a^{17}\,b^5\,d^4+96\,a^{19}\,b^3\,d^4\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{18}\,b^2\,d^3+320\,a^{14}\,b^6\,d^3+1024\,a^{12}\,b^8\,d^3+1440\,a^{10}\,b^{10}\,d^3+1024\,a^8\,b^{12}\,d^3+320\,a^6\,b^{14}\,d^3-16\,a^2\,b^{18}\,d^3\right)\right)}{4}-16\,a^4\,b^{15}\,d^2-96\,a^6\,b^{13}\,d^2-240\,a^8\,b^{11}\,d^2-320\,a^{10}\,b^9\,d^2-240\,a^{12}\,b^7\,d^2-96\,a^{14}\,b^5\,d^2-16\,a^{16}\,b^3\,d^2\right)\,\sqrt{-\frac{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,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}}}{4}-\ln\left(\sqrt{-\frac{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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)-32\,a\,b^{21}\,d^4-160\,a^3\,b^{19}\,d^4-128\,a^5\,b^{17}\,d^4+896\,a^7\,b^{15}\,d^4+3136\,a^9\,b^{13}\,d^4+4928\,a^{11}\,b^{11}\,d^4+4480\,a^{13}\,b^9\,d^4+2432\,a^{15}\,b^7\,d^4+736\,a^{17}\,b^5\,d^4+96\,a^{19}\,b^3\,d^4\right)-\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{18}\,b^2\,d^3+320\,a^{14}\,b^6\,d^3+1024\,a^{12}\,b^8\,d^3+1440\,a^{10}\,b^{10}\,d^3+1024\,a^8\,b^{12}\,d^3+320\,a^6\,b^{14}\,d^3-16\,a^2\,b^{18}\,d^3\right)\right)-16\,a^4\,b^{15}\,d^2-96\,a^6\,b^{13}\,d^2-240\,a^8\,b^{11}\,d^2-320\,a^{10}\,b^9\,d^2-240\,a^{12}\,b^7\,d^2-96\,a^{14}\,b^5\,d^2-16\,a^{16}\,b^3\,d^2\right)\,\sqrt{-\frac{4\,a^7\,d^2-\sqrt{-400\,a^{12}\,b^2\,d^4+1600\,a^{10}\,b^4\,d^4-1760\,a^8\,b^6\,d^4+320\,a^6\,b^8\,d^4-16\,a^4\,b^{10}\,d^4}+20\,a^3\,b^4\,d^2-40\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\ln\left(8\,b^{19}\,d^2-\frac{\sqrt{\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,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{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,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(96\,a\,b^{21}\,d^4+736\,a^3\,b^{19}\,d^4+2432\,a^5\,b^{17}\,d^4+4480\,a^7\,b^{15}\,d^4+4928\,a^9\,b^{13}\,d^4+3136\,a^{11}\,b^{11}\,d^4+896\,a^{13}\,b^9\,d^4-128\,a^{15}\,b^7\,d^4-160\,a^{17}\,b^5\,d^4-32\,a^{19}\,b^3\,d^4+\frac{\sqrt{\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,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(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}\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^4\,d^3+320\,a^{12}\,b^8\,d^3+1024\,a^{10}\,b^{10}\,d^3+1440\,a^8\,b^{12}\,d^3+1024\,a^6\,b^{14}\,d^3+320\,a^4\,b^{16}\,d^3-16\,b^{20}\,d^3\right)\right)}{4}+40\,a^2\,b^{17}\,d^2+72\,a^4\,b^{15}\,d^2+40\,a^6\,b^{13}\,d^2-40\,a^8\,b^{11}\,d^2-72\,a^{10}\,b^9\,d^2-40\,a^{12}\,b^7\,d^2-8\,a^{14}\,b^5\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,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}}}{4}+\frac{\ln\left(8\,b^{19}\,d^2-\frac{\sqrt{-\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,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{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,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(96\,a\,b^{21}\,d^4+736\,a^3\,b^{19}\,d^4+2432\,a^5\,b^{17}\,d^4+4480\,a^7\,b^{15}\,d^4+4928\,a^9\,b^{13}\,d^4+3136\,a^{11}\,b^{11}\,d^4+896\,a^{13}\,b^9\,d^4-128\,a^{15}\,b^7\,d^4-160\,a^{17}\,b^5\,d^4-32\,a^{19}\,b^3\,d^4+\frac{\sqrt{-\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,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(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}\right)}{4}+\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,a^{16}\,b^4\,d^3+320\,a^{12}\,b^8\,d^3+1024\,a^{10}\,b^{10}\,d^3+1440\,a^8\,b^{12}\,d^3+1024\,a^6\,b^{14}\,d^3+320\,a^4\,b^{16}\,d^3-16\,b^{20}\,d^3\right)\right)}{4}+40\,a^2\,b^{17}\,d^2+72\,a^4\,b^{15}\,d^2+40\,a^6\,b^{13}\,d^2-40\,a^8\,b^{11}\,d^2-72\,a^{10}\,b^9\,d^2-40\,a^{12}\,b^7\,d^2-8\,a^{14}\,b^5\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,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}}}{4}-\ln\left(8\,b^{19}\,d^2-\sqrt{\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,a\,b^{21}\,d^4+736\,a^3\,b^{19}\,d^4+2432\,a^5\,b^{17}\,d^4+4480\,a^7\,b^{15}\,d^4+4928\,a^9\,b^{13}\,d^4+3136\,a^{11}\,b^{11}\,d^4+896\,a^{13}\,b^9\,d^4-128\,a^{15}\,b^7\,d^4-160\,a^{17}\,b^5\,d^4-32\,a^{19}\,b^3\,d^4-\sqrt{\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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^4\,d^3+320\,a^{12}\,b^8\,d^3+1024\,a^{10}\,b^{10}\,d^3+1440\,a^8\,b^{12}\,d^3+1024\,a^6\,b^{14}\,d^3+320\,a^4\,b^{16}\,d^3-16\,b^{20}\,d^3\right)\right)+40\,a^2\,b^{17}\,d^2+72\,a^4\,b^{15}\,d^2+40\,a^6\,b^{13}\,d^2-40\,a^8\,b^{11}\,d^2-72\,a^{10}\,b^9\,d^2-40\,a^{12}\,b^7\,d^2-8\,a^{14}\,b^5\,d^2\right)\,\sqrt{\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}+20\,a\,b^6\,d^2-40\,a^3\,b^4\,d^2+4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}-\ln\left(8\,b^{19}\,d^2-\sqrt{-\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\left(96\,a\,b^{21}\,d^4+736\,a^3\,b^{19}\,d^4+2432\,a^5\,b^{17}\,d^4+4480\,a^7\,b^{15}\,d^4+4928\,a^9\,b^{13}\,d^4+3136\,a^{11}\,b^{11}\,d^4+896\,a^{13}\,b^9\,d^4-128\,a^{15}\,b^7\,d^4-160\,a^{17}\,b^5\,d^4-32\,a^{19}\,b^3\,d^4-\sqrt{-\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}\,\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^4\,d^3+320\,a^{12}\,b^8\,d^3+1024\,a^{10}\,b^{10}\,d^3+1440\,a^8\,b^{12}\,d^3+1024\,a^6\,b^{14}\,d^3+320\,a^4\,b^{16}\,d^3-16\,b^{20}\,d^3\right)\right)+40\,a^2\,b^{17}\,d^2+72\,a^4\,b^{15}\,d^2+40\,a^6\,b^{13}\,d^2-40\,a^8\,b^{11}\,d^2-72\,a^{10}\,b^9\,d^2-40\,a^{12}\,b^7\,d^2-8\,a^{14}\,b^5\,d^2\right)\,\sqrt{-\frac{\sqrt{-400\,a^8\,b^6\,d^4+1600\,a^6\,b^8\,d^4-1760\,a^4\,b^{10}\,d^4+320\,a^2\,b^{12}\,d^4-16\,b^{14}\,d^4}-20\,a\,b^6\,d^2+40\,a^3\,b^4\,d^2-4\,a^5\,b^2\,d^2}{16\,a^{10}\,d^4+80\,a^8\,b^2\,d^4+160\,a^6\,b^4\,d^4+160\,a^4\,b^6\,d^4+80\,a^2\,b^8\,d^4+16\,b^{10}\,d^4}}+\frac{\frac{2\,a\,b}{3\,\left(a^2+b^2\right)}+\frac{2\,b\,\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}}+\frac{\frac{2\,a\,b}{3\,\left(a^2+b^2\right)}+\frac{4\,a^2\,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}}","Not used",1,"(log(((((-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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)*(896*a^7*b^15*d^4 - 32*a*b^21*d^4 - 160*a^3*b^19*d^4 - 128*a^5*b^17*d^4 - ((a + b*tan(c + d*x))^(1/2)*(-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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)*(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 + 3136*a^9*b^13*d^4 + 4928*a^11*b^11*d^4 + 4480*a^13*b^9*d^4 + 2432*a^15*b^7*d^4 + 736*a^17*b^5*d^4 + 96*a^19*b^3*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(320*a^6*b^14*d^3 - 16*a^2*b^18*d^3 + 1024*a^8*b^12*d^3 + 1440*a^10*b^10*d^3 + 1024*a^12*b^8*d^3 + 320*a^14*b^6*d^3 - 16*a^18*b^2*d^3))*(-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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))/4 - 16*a^4*b^15*d^2 - 96*a^6*b^13*d^2 - 240*a^8*b^11*d^2 - 320*a^10*b^9*d^2 - 240*a^12*b^7*d^2 - 96*a^14*b^5*d^2 - 16*a^16*b^3*d^2)*(-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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))/4 - log(((-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((a + b*tan(c + d*x))^(1/2)*(-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) - 32*a*b^21*d^4 - 160*a^3*b^19*d^4 - 128*a^5*b^17*d^4 + 896*a^7*b^15*d^4 + 3136*a^9*b^13*d^4 + 4928*a^11*b^11*d^4 + 4480*a^13*b^9*d^4 + 2432*a^15*b^7*d^4 + 736*a^17*b^5*d^4 + 96*a^19*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(320*a^6*b^14*d^3 - 16*a^2*b^18*d^3 + 1024*a^8*b^12*d^3 + 1440*a^10*b^10*d^3 + 1024*a^12*b^8*d^3 + 320*a^14*b^6*d^3 - 16*a^18*b^2*d^3))*(-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - 16*a^4*b^15*d^2 - 96*a^6*b^13*d^2 - 240*a^8*b^11*d^2 - 320*a^10*b^9*d^2 - 240*a^12*b^7*d^2 - 96*a^14*b^5*d^2 - 16*a^16*b^3*d^2)*(-(4*a^7*d^2 + (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(((-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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)*(((-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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)*(896*a^7*b^15*d^4 - ((-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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)*(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 - 160*a^3*b^19*d^4 - 128*a^5*b^17*d^4 - 32*a*b^21*d^4 + 3136*a^9*b^13*d^4 + 4928*a^11*b^11*d^4 + 4480*a^13*b^9*d^4 + 2432*a^15*b^7*d^4 + 736*a^17*b^5*d^4 + 96*a^19*b^3*d^4))/4 + (a + b*tan(c + d*x))^(1/2)*(320*a^6*b^14*d^3 - 16*a^2*b^18*d^3 + 1024*a^8*b^12*d^3 + 1440*a^10*b^10*d^3 + 1024*a^12*b^8*d^3 + 320*a^14*b^6*d^3 - 16*a^18*b^2*d^3)))/4 - 16*a^4*b^15*d^2 - 96*a^6*b^13*d^2 - 240*a^8*b^11*d^2 - 320*a^10*b^9*d^2 - 240*a^12*b^7*d^2 - 96*a^14*b^5*d^2 - 16*a^16*b^3*d^2)*(-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*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))/4 - log((-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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) - 32*a*b^21*d^4 - 160*a^3*b^19*d^4 - 128*a^5*b^17*d^4 + 896*a^7*b^15*d^4 + 3136*a^9*b^13*d^4 + 4928*a^11*b^11*d^4 + 4480*a^13*b^9*d^4 + 2432*a^15*b^7*d^4 + 736*a^17*b^5*d^4 + 96*a^19*b^3*d^4) - (a + b*tan(c + d*x))^(1/2)*(320*a^6*b^14*d^3 - 16*a^2*b^18*d^3 + 1024*a^8*b^12*d^3 + 1440*a^10*b^10*d^3 + 1024*a^12*b^8*d^3 + 320*a^14*b^6*d^3 - 16*a^18*b^2*d^3)) - 16*a^4*b^15*d^2 - 96*a^6*b^13*d^2 - 240*a^8*b^11*d^2 - 320*a^10*b^9*d^2 - 240*a^12*b^7*d^2 - 96*a^14*b^5*d^2 - 16*a^16*b^3*d^2)*(-(4*a^7*d^2 - (320*a^6*b^8*d^4 - 16*a^4*b^10*d^4 - 1760*a^8*b^6*d^4 + 1600*a^10*b^4*d^4 - 400*a^12*b^2*d^4)^(1/2) + 20*a^3*b^4*d^2 - 40*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + (log(8*b^19*d^2 - ((((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*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)*(((((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*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)*(96*a*b^21*d^4 + 736*a^3*b^19*d^4 + 2432*a^5*b^17*d^4 + 4480*a^7*b^15*d^4 + 4928*a^9*b^13*d^4 + 3136*a^11*b^11*d^4 + 896*a^13*b^9*d^4 - 128*a^15*b^7*d^4 - 160*a^17*b^5*d^4 - 32*a^19*b^3*d^4 + ((((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*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)*(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))/4 + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^16*d^3 - 16*b^20*d^3 + 1024*a^6*b^14*d^3 + 1440*a^8*b^12*d^3 + 1024*a^10*b^10*d^3 + 320*a^12*b^8*d^3 - 16*a^16*b^4*d^3)))/4 + 40*a^2*b^17*d^2 + 72*a^4*b^15*d^2 + 40*a^6*b^13*d^2 - 40*a^8*b^11*d^2 - 72*a^10*b^9*d^2 - 40*a^12*b^7*d^2 - 8*a^14*b^5*d^2)*(((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*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))/4 + (log(8*b^19*d^2 - ((-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*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)*(((-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*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)*(96*a*b^21*d^4 + 736*a^3*b^19*d^4 + 2432*a^5*b^17*d^4 + 4480*a^7*b^15*d^4 + 4928*a^9*b^13*d^4 + 3136*a^11*b^11*d^4 + 896*a^13*b^9*d^4 - 128*a^15*b^7*d^4 - 160*a^17*b^5*d^4 - 32*a^19*b^3*d^4 + ((-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*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)*(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))/4 + (a + b*tan(c + d*x))^(1/2)*(320*a^4*b^16*d^3 - 16*b^20*d^3 + 1024*a^6*b^14*d^3 + 1440*a^8*b^12*d^3 + 1024*a^10*b^10*d^3 + 320*a^12*b^8*d^3 - 16*a^16*b^4*d^3)))/4 + 40*a^2*b^17*d^2 + 72*a^4*b^15*d^2 + 40*a^6*b^13*d^2 - 40*a^8*b^11*d^2 - 72*a^10*b^9*d^2 - 40*a^12*b^7*d^2 - 8*a^14*b^5*d^2)*(-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*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))/4 - log(8*b^19*d^2 - (((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*a*b^21*d^4 + 736*a^3*b^19*d^4 + 2432*a^5*b^17*d^4 + 4480*a^7*b^15*d^4 + 4928*a^9*b^13*d^4 + 3136*a^11*b^11*d^4 + 896*a^13*b^9*d^4 - 128*a^15*b^7*d^4 - 160*a^17*b^5*d^4 - 32*a^19*b^3*d^4 - (((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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^16*d^3 - 16*b^20*d^3 + 1024*a^6*b^14*d^3 + 1440*a^8*b^12*d^3 + 1024*a^10*b^10*d^3 + 320*a^12*b^8*d^3 - 16*a^16*b^4*d^3)) + 40*a^2*b^17*d^2 + 72*a^4*b^15*d^2 + 40*a^6*b^13*d^2 - 40*a^8*b^11*d^2 - 72*a^10*b^9*d^2 - 40*a^12*b^7*d^2 - 8*a^14*b^5*d^2)*(((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) + 20*a*b^6*d^2 - 40*a^3*b^4*d^2 + 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) - log(8*b^19*d^2 - (-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*((-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2)*(96*a*b^21*d^4 + 736*a^3*b^19*d^4 + 2432*a^5*b^17*d^4 + 4480*a^7*b^15*d^4 + 4928*a^9*b^13*d^4 + 3136*a^11*b^11*d^4 + 896*a^13*b^9*d^4 - 128*a^15*b^7*d^4 - 160*a^17*b^5*d^4 - 32*a^19*b^3*d^4 - (-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(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^16*d^3 - 16*b^20*d^3 + 1024*a^6*b^14*d^3 + 1440*a^8*b^12*d^3 + 1024*a^10*b^10*d^3 + 320*a^12*b^8*d^3 - 16*a^16*b^4*d^3)) + 40*a^2*b^17*d^2 + 72*a^4*b^15*d^2 + 40*a^6*b^13*d^2 - 40*a^8*b^11*d^2 - 72*a^10*b^9*d^2 - 40*a^12*b^7*d^2 - 8*a^14*b^5*d^2)*(-((320*a^2*b^12*d^4 - 16*b^14*d^4 - 1760*a^4*b^10*d^4 + 1600*a^6*b^8*d^4 - 400*a^8*b^6*d^4)^(1/2) - 20*a*b^6*d^2 + 40*a^3*b^4*d^2 - 4*a^5*b^2*d^2)/(16*a^10*d^4 + 16*b^10*d^4 + 80*a^2*b^8*d^4 + 160*a^4*b^6*d^4 + 160*a^6*b^4*d^4 + 80*a^8*b^2*d^4))^(1/2) + ((2*a*b)/(3*(a^2 + b^2)) + (2*b*(a^2 - b^2)*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2)) + ((2*a*b)/(3*(a^2 + b^2)) + (4*a^2*b*(a + b*tan(c + d*x)))/(a^2 + b^2)^2)/(d*(a + b*tan(c + d*x))^(3/2))","B"
373,1,1410,45,8.703954,"\text{Not used}","int((tan(c + d*x)*1i + 1)/(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{64\,a\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{b^2\,16{}\mathrm{i}}{d}+\frac{a^2\,b^2\,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{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^4\,64{}\mathrm{i}}{d}-\frac{a^2\,b^2\,64{}\mathrm{i}}{d}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^4\,b^2\,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{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^4\,64{}\mathrm{i}}{d}-\frac{a^2\,b^2\,64{}\mathrm{i}}{d}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^4\,b^2\,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}}+\frac{\ln\left(1+d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+1{}\mathrm{i}\right)\,\sqrt{-\frac{1}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\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)}}+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,"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))/((a^2*b^2*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3) - (b^2*16i)/d + (64*a*b^3*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))/((a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (a^2*b^2*64i)/d - (b^4*64i)/d + (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^4*b^2*d^2*256i)/(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^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)/((a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (a^2*b^2*64i)/d - (b^4*64i)/d + (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^4*b^2*d^2*256i)/(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) + (log(d*(-1/(d^2*(a - b*1i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*1i + 1)*(-1/(a*d^2 - b*d^2*1i))^(1/2))/2 - log(d*(-1/(d^2*(a - b*1i)))^(1/2)*(a + b*tan(c + d*x))^(1/2) + 1i)*(-1/(4*(a*d^2 - b*d^2*1i)))^(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) + 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"
374,1,1410,45,7.624659,"\text{Not used}","int(-(tan(c + d*x)*1i - 1)/(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{64\,a\,b^3\,d^2}{4\,a^2\,d^3+4\,b^2\,d^3}-\frac{b^2\,16{}\mathrm{i}}{d}+\frac{a^2\,b^2\,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{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^4\,64{}\mathrm{i}}{d}-\frac{a^2\,b^2\,64{}\mathrm{i}}{d}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^4\,b^2\,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{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^4\,64{}\mathrm{i}}{d}-\frac{a^2\,b^2\,64{}\mathrm{i}}{d}+\frac{a^2\,b^4\,d^2\,256{}\mathrm{i}}{4\,a^2\,d^3+4\,b^2\,d^3}+\frac{a^4\,b^2\,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}}+\frac{\ln\left(d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+1{}\mathrm{i}\right)\,\sqrt{-\frac{1}{a\,d^2-b\,d^2\,1{}\mathrm{i}}}}{2}-\ln\left(1+d\,\sqrt{-\frac{1}{d^2\,\left(a-b\,1{}\mathrm{i}\right)}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}\right)\,\sqrt{-\frac{1}{4\,\left(a\,d^2-b\,d^2\,1{}\mathrm{i}\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)}}+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(d*(-1/(d^2*(a - b*1i)))^(1/2)*(a + b*tan(c + d*x))^(1/2) + 1i)*(-1/(a*d^2 - b*d^2*1i))^(1/2))/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))/((a^2*b^2*d^2*64i)/(4*a^2*d^3 + 4*b^2*d^3) - (b^2*16i)/d + (64*a*b^3*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))/((a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (a^2*b^2*64i)/d - (b^4*64i)/d + (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^4*b^2*d^2*256i)/(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^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)/((a^2*b^4*d^2*256i)/(4*a^2*d^3 + 4*b^2*d^3) - (a^2*b^2*64i)/d - (b^4*64i)/d + (256*a^3*b^3*d^2)/(4*a^2*d^3 + 4*b^2*d^3) + (a^4*b^2*d^2*256i)/(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) - log(d*(-1/(d^2*(a - b*1i)))^(1/2)*(a + b*tan(c + d*x))^(1/2)*1i + 1)*(-1/(4*(a*d^2 - b*d^2*1i)))^(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) + 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"
375,1,31,30,0.676683,"\text{Not used}","int((tan(x) + 3)/(3*tan(x) + 4)^(1/2),x)","\sqrt{2}\,\left(\mathrm{atan}\left(\sqrt{6\,\mathrm{tan}\left(x\right)+8}\,\left(\frac{1}{10}-\frac{3}{10}{}\mathrm{i}\right)\right)+\mathrm{atan}\left(\sqrt{6\,\mathrm{tan}\left(x\right)+8}\,\left(\frac{1}{10}+\frac{3}{10}{}\mathrm{i}\right)\right)\right)","Not used",1,"2^(1/2)*(atan((6*tan(x) + 8)^(1/2)*(1/10 - 3i/10)) + atan((6*tan(x) + 8)^(1/2)*(1/10 + 3i/10)))","B"
376,1,35,27,7.114022,"\text{Not used}","int(-(3*tan(x) - 1)/(3*tan(x) + 4)^(1/2),x)","\sqrt{2}\,\left(\mathrm{atan}\left(\sqrt{6\,\mathrm{tan}\left(x\right)+8}\,\left(\frac{1}{10}-\frac{3}{10}{}\mathrm{i}\right)\right)-\mathrm{atan}\left(\sqrt{6\,\mathrm{tan}\left(x\right)+8}\,\left(\frac{1}{10}+\frac{3}{10}{}\mathrm{i}\right)\right)\right)\,1{}\mathrm{i}","Not used",1,"2^(1/2)*(atan((6*tan(x) + 8)^(1/2)*(1/10 - 3i/10)) - atan((6*tan(x) + 8)^(1/2)*(1/10 + 3i/10)))*1i","B"
377,1,147,85,7.231108,"\text{Not used}","int(-(3*tan(a + b*x) - 4)/(3*tan(a + b*x) + 4)^(1/2),x)","\mathrm{atan}\left(\frac{b\,\sqrt{\frac{-\frac{16}{25}-\frac{12}{25}{}\mathrm{i}}{b^2}}\,\sqrt{3\,\mathrm{tan}\left(a+b\,x\right)+4}}{2}\right)\,\sqrt{\frac{-\frac{16}{25}-\frac{12}{25}{}\mathrm{i}}{b^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{b\,\sqrt{\frac{-\frac{16}{25}+\frac{12}{25}{}\mathrm{i}}{b^2}}\,\sqrt{3\,\mathrm{tan}\left(a+b\,x\right)+4}}{2}\right)\,\sqrt{\frac{-\frac{16}{25}+\frac{12}{25}{}\mathrm{i}}{b^2}}\,2{}\mathrm{i}+2\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{\frac{\frac{9}{25}-\frac{27}{100}{}\mathrm{i}}{b^2}}\,\sqrt{3\,\mathrm{tan}\left(a+b\,x\right)+4}}{3}\right)\,\sqrt{\frac{\frac{9}{25}-\frac{27}{100}{}\mathrm{i}}{b^2}}+2\,\mathrm{atanh}\left(\frac{2\,b\,\sqrt{\frac{\frac{9}{25}+\frac{27}{100}{}\mathrm{i}}{b^2}}\,\sqrt{3\,\mathrm{tan}\left(a+b\,x\right)+4}}{3}\right)\,\sqrt{\frac{\frac{9}{25}+\frac{27}{100}{}\mathrm{i}}{b^2}}","Not used",1,"atan((b*((- 16/25 - 12i/25)/b^2)^(1/2)*(3*tan(a + b*x) + 4)^(1/2))/2)*((- 16/25 - 12i/25)/b^2)^(1/2)*2i - atan((b*((- 16/25 + 12i/25)/b^2)^(1/2)*(3*tan(a + b*x) + 4)^(1/2))/2)*((- 16/25 + 12i/25)/b^2)^(1/2)*2i + 2*atanh((2*b*((9/25 - 27i/100)/b^2)^(1/2)*(3*tan(a + b*x) + 4)^(1/2))/3)*((9/25 - 27i/100)/b^2)^(1/2) + 2*atanh((2*b*((9/25 + 27i/100)/b^2)^(1/2)*(3*tan(a + b*x) + 4)^(1/2))/3)*((9/25 + 27i/100)/b^2)^(1/2)","B"
378,1,1522,278,15.345075,"\text{Not used}","int(tan(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{2\,A\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\frac{2\,A\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{2\,B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,A\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{2\,B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\frac{2\,B\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{2\,B\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}-\mathrm{atan}\left(\frac{A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^3}{d}+\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a\,b^2}{d}}-\frac{A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^3}{d}+\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^3}{d}+\frac{16\,A^3\,a\,b^2}{d}}-\frac{A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^3}{d}+\frac{16\,A^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,b^3}{d}+\frac{16\,B^3\,a^2\,b}{d}}-\frac{B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,b^3}{d}+\frac{16\,B^3\,a^2\,b}{d}}\right)\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^3}{d}+\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^2\,b}{d}}-\frac{B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^3}{d}+\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^2\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((A^2*a^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2)*32i)/((16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^3)/d + (16*A^3*a*b^2)/d) - (A^2*b^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2)*32i)/((16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^3)/d + (16*A^3*a*b^2)/d))*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2)*2i - atan((A^2*a^2*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*A^3*a^3)/d + (16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a*b^2)/d) - (A^2*b^2*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*A^3*a^3)/d + (16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a*b^2)/d))*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2)*2i + atan((B^2*a^2*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*b^3)/d + (16*B^3*a^2*b)/d) - (B^2*b^2*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*b^3)/d + (16*B^3*a^2*b)/d))*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*2i - atan((B^2*a^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B^3*b^3)/d + (16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^2*b)/d) - (B^2*b^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B^3*b^3)/d + (16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^2*b)/d))*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*2i + (2*A*a*tan(c + d*x)^(3/2))/(3*d) - (2*A*b*tan(c + d*x)^(1/2))/d - (2*B*a*tan(c + d*x)^(1/2))/d + (2*A*b*tan(c + d*x)^(5/2))/(5*d) + (2*B*a*tan(c + d*x)^(5/2))/(5*d) - (2*B*b*tan(c + d*x)^(3/2))/(3*d) + (2*B*b*tan(c + d*x)^(7/2))/(7*d)","B"
379,1,1492,254,11.620186,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\frac{2\,A\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,A\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{2\,B\,a\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\frac{2\,B\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,B\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\mathrm{atan}\left(\frac{A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,b^3}{d}+\frac{16\,A^3\,a^2\,b}{d}}-\frac{A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,b^3}{d}+\frac{16\,A^3\,a^2\,b}{d}}\right)\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,A^3\,b^3}{d}+\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^2\,b}{d}}-\frac{A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,A^3\,b^3}{d}+\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^2\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^3}{d}+\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a\,b^2}{d}}-\frac{B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^3}{d}+\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^3}{d}+\frac{16\,B^3\,a\,b^2}{d}}-\frac{B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^3}{d}+\frac{16\,B^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((A^2*a^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2)*32i)/((16*A^3*b^3)/d + (16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^2*b)/d) - (A^2*b^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2)*32i)/((16*A^3*b^3)/d + (16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^2*b)/d))*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2)*2i - atan((A^2*a^2*tan(c + d*x)^(1/2)*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2)*32i)/((16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*b^3)/d + (16*A^3*a^2*b)/d) - (A^2*b^2*tan(c + d*x)^(1/2)*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2)*32i)/((16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*b^3)/d + (16*A^3*a^2*b)/d))*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2)*2i - atan((B^2*a^2*tan(c + d*x)^(1/2)*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*B^3*a^3)/d + (16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a*b^2)/d) - (B^2*b^2*tan(c + d*x)^(1/2)*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*B^3*a^3)/d + (16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a*b^2)/d))*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2)*2i + atan((B^2*a^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^3)/d + (16*B^3*a*b^2)/d) - (B^2*b^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^3)/d + (16*B^3*a*b^2)/d))*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2)*2i + (2*A*a*tan(c + d*x)^(1/2))/d + (2*A*b*tan(c + d*x)^(3/2))/(3*d) + (2*B*a*tan(c + d*x)^(3/2))/(3*d) - (2*B*b*tan(c + d*x)^(1/2))/d + (2*B*b*tan(c + d*x)^(5/2))/(5*d)","B"
380,1,1456,229,9.522897,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}}{\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^3}{d}+\frac{16\,A^3\,a\,b^2}{d}}-\frac{32\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}}{\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^3}{d}+\frac{16\,A^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}}{\frac{16\,A^3\,a^3}{d}+\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a\,b^2}{d}}-\frac{32\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}}{\frac{16\,A^3\,a^3}{d}+\frac{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}+\frac{2\,A\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,B\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,b^3}{d}+\frac{16\,B^3\,a^2\,b}{d}}-\frac{B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,b^3}{d}+\frac{16\,B^3\,a^2\,b}{d}}\right)\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^3}{d}+\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^2\,b}{d}}-\frac{B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^3}{d}+\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^2\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"2*atanh((32*A^2*a^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2))/((16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^3)/d + (16*A^3*a*b^2)/d) - (32*A^2*b^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2))/((16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^3)/d + (16*A^3*a*b^2)/d))*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2) - 2*atanh((32*A^2*a^2*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/((16*A^3*a^3)/d + (16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a*b^2)/d) - (32*A^2*b^2*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/((16*A^3*a^3)/d + (16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a*b^2)/d))*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2) - atan((B^2*a^2*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*b^3)/d + (16*B^3*a^2*b)/d) - (B^2*b^2*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*b^3)/d + (16*B^3*a^2*b)/d))*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*2i + atan((B^2*a^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B^3*b^3)/d + (16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^2*b)/d) - (B^2*b^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*32i)/((16*B^3*b^3)/d + (16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^2*b)/d))*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2)*2i + (2*A*b*tan(c + d*x)^(1/2))/d + (2*B*a*tan(c + d*x)^(1/2))/d + (2*B*b*tan(c + d*x)^(3/2))/(3*d)","B"
381,1,1420,205,8.889282,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x)))/tan(c + d*x)^(1/2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{\frac{16\,A^3\,b^3}{d}+\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^2\,b}{d}}-\frac{32\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{\frac{16\,A^3\,b^3}{d}+\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,a^2\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,b^3}{d}+\frac{16\,A^3\,a^2\,b}{d}}-\frac{32\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{\frac{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{d^3}-\frac{16\,A^3\,b^3}{d}+\frac{16\,A^3\,a^2\,b}{d}}\right)\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}}{\frac{16\,B^3\,a^3}{d}+\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a\,b^2}{d}}-\frac{32\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}}{\frac{16\,B^3\,a^3}{d}+\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}+2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}}{\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^3}{d}+\frac{16\,B^3\,a\,b^2}{d}}-\frac{32\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}}{\frac{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^3}{d}+\frac{16\,B^3\,a\,b^2}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}+\frac{2\,B\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}","Not used",1,"2*atanh((32*A^2*a^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/((16*A^3*b^3)/d + (16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^2*b)/d) - (32*A^2*b^2*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/((16*A^3*b^3)/d + (16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*a^2*b)/d))*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2) - 2*atanh((32*A^2*a^2*tan(c + d*x)^(1/2)*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/((16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*b^3)/d + (16*A^3*a^2*b)/d) - (32*A^2*b^2*tan(c + d*x)^(1/2)*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/((16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2))/d^3 - (16*A^3*b^3)/d + (16*A^3*a^2*b)/d))*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2) - 2*atanh((32*B^2*a^2*tan(c + d*x)^(1/2)*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/((16*B^3*a^3)/d + (16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a*b^2)/d) - (32*B^2*b^2*tan(c + d*x)^(1/2)*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/((16*B^3*a^3)/d + (16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a*b^2)/d))*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2) + 2*atanh((32*B^2*a^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2))/((16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^3)/d + (16*B^3*a*b^2)/d) - (32*B^2*b^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2))/((16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^3)/d + (16*B^3*a*b^2)/d))*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2) + (2*B*b*tan(c + d*x)^(1/2))/d","B"
382,1,1420,205,8.807649,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x)))/tan(c + d*x)^(3/2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}+16\,A^3\,a^3\,d^2-16\,A^3\,a\,b^2\,d^2}-\frac{32\,A^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}+16\,A^3\,a^3\,d^2-16\,A^3\,a\,b^2\,d^2}\right)\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}-16\,A^3\,a^3\,d^2+16\,A^3\,a\,b^2\,d^2}-\frac{32\,A^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}-16\,A^3\,a^3\,d^2+16\,A^3\,a\,b^2\,d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,b^3}{d}+\frac{16\,B^3\,a^2\,b}{d}}-\frac{32\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,b^3}{d}+\frac{16\,B^3\,a^2\,b}{d}}\right)\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{\frac{16\,B^3\,b^3}{d}+\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^2\,b}{d}}-\frac{32\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{\frac{16\,B^3\,b^3}{d}+\frac{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{d^3}-\frac{16\,B^3\,a^2\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}-\frac{2\,A\,a}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"2*atanh((32*A^2*a^2*d^3*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) + 16*A^3*a^3*d^2 - 16*A^3*a*b^2*d^2) - (32*A^2*b^2*d^3*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) + 16*A^3*a^3*d^2 - 16*A^3*a*b^2*d^2))*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2) - 2*atanh((32*A^2*a^2*d^3*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) - 16*A^3*a^3*d^2 + 16*A^3*a*b^2*d^2) - (32*A^2*b^2*d^3*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) - 16*A^3*a^3*d^2 + 16*A^3*a*b^2*d^2))*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2) - 2*atanh((32*B^2*a^2*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/((16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*b^3)/d + (16*B^3*a^2*b)/d) - (32*B^2*b^2*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/((16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*b^3)/d + (16*B^3*a^2*b)/d))*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2) + 2*atanh((32*B^2*a^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/((16*B^3*b^3)/d + (16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^2*b)/d) - (32*B^2*b^2*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/((16*B^3*b^3)/d + (16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2))/d^3 - (16*B^3*a^2*b)/d))*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2) - (2*A*a)/(d*tan(c + d*x)^(1/2))","B"
383,1,1448,229,10.266587,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x)))/tan(c + d*x)^(5/2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}-16\,A^3\,b^3\,d^2+16\,A^3\,a^2\,b\,d^2}-\frac{32\,A^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}-16\,A^3\,b^3\,d^2+16\,A^3\,a^2\,b\,d^2}\right)\,\sqrt{-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}+16\,A^3\,b^3\,d^2-16\,A^3\,a^2\,b\,d^2}-\frac{32\,A^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,a\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}+16\,A^3\,b^3\,d^2-16\,A^3\,a^2\,b\,d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}-\frac{A^2\,a\,b}{2\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}}{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}+16\,B^3\,a^3\,d^2-16\,B^3\,a\,b^2\,d^2}-\frac{32\,B^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}}{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}+16\,B^3\,a^3\,d^2-16\,B^3\,a\,b^2\,d^2}\right)\,\sqrt{\frac{B^2\,a\,b}{2\,d^2}-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}}{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}-16\,B^3\,a^3\,d^2+16\,B^3\,a\,b^2\,d^2}-\frac{32\,B^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}}{16\,B\,b\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}-16\,B^3\,a^3\,d^2+16\,B^3\,a\,b^2\,d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}+\frac{B^2\,a\,b}{2\,d^2}}-\frac{\frac{2\,A\,a}{3}+2\,A\,b\,\mathrm{tan}\left(c+d\,x\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{2\,B\,a}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"2*atanh((32*A^2*a^2*d^3*tan(c + d*x)^(1/2)*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/(16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) - 16*A^3*b^3*d^2 + 16*A^3*a^2*b*d^2) - (32*A^2*b^2*d^3*tan(c + d*x)^(1/2)*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/(16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) - 16*A^3*b^3*d^2 + 16*A^3*a^2*b*d^2))*(- (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2) - 2*atanh((32*A^2*a^2*d^3*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/(16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) + 16*A^3*b^3*d^2 - 16*A^3*a^2*b*d^2) - (32*A^2*b^2*d^3*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2))/(16*A*a*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) + 16*A^3*b^3*d^2 - 16*A^3*a^2*b*d^2))*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) - (A^2*a*b)/(2*d^2))^(1/2) + 2*atanh((32*B^2*a^2*d^3*tan(c + d*x)^(1/2)*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/(16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) + 16*B^3*a^3*d^2 - 16*B^3*a*b^2*d^2) - (32*B^2*b^2*d^3*tan(c + d*x)^(1/2)*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/(16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) + 16*B^3*a^3*d^2 - 16*B^3*a*b^2*d^2))*((B^2*a*b)/(2*d^2) - (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2) - 2*atanh((32*B^2*a^2*d^3*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2))/(16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) - 16*B^3*a^3*d^2 + 16*B^3*a*b^2*d^2) - (32*B^2*b^2*d^3*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2))/(16*B*b*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) - 16*B^3*a^3*d^2 + 16*B^3*a*b^2*d^2))*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) + (B^2*a*b)/(2*d^2))^(1/2) - ((2*A*a)/3 + 2*A*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2)) - (2*B*a)/(d*tan(c + d*x)^(1/2))","B"
384,1,1473,254,12.495342,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x)))/tan(c + d*x)^(7/2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}-16\,A^3\,a^3\,d^2+16\,A^3\,a\,b^2\,d^2}-\frac{32\,A^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}-16\,A^3\,a^3\,d^2+16\,A^3\,a\,b^2\,d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}+\frac{A^2\,a\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}+16\,A^3\,a^3\,d^2-16\,A^3\,a\,b^2\,d^2}-\frac{32\,A^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}}{16\,A\,b\,\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}+16\,A^3\,a^3\,d^2-16\,A^3\,a\,b^2\,d^2}\right)\,\sqrt{\frac{A^2\,a\,b}{2\,d^2}-\frac{\sqrt{-A^4\,a^4\,d^4+2\,A^4\,a^2\,b^2\,d^4-A^4\,b^4\,d^4}}{4\,d^4}}+2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}-16\,B^3\,b^3\,d^2+16\,B^3\,a^2\,b\,d^2}-\frac{32\,B^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}-16\,B^3\,b^3\,d^2+16\,B^3\,a^2\,b\,d^2}\right)\,\sqrt{-\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}+16\,B^3\,b^3\,d^2-16\,B^3\,a^2\,b\,d^2}-\frac{32\,B^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}}{16\,B\,a\,\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}+16\,B^3\,b^3\,d^2-16\,B^3\,a^2\,b\,d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^4\,d^4+2\,B^4\,a^2\,b^2\,d^4-B^4\,b^4\,d^4}}{4\,d^4}-\frac{B^2\,a\,b}{2\,d^2}}-\frac{-2\,A\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{2\,A\,b\,\mathrm{tan}\left(c+d\,x\right)}{3}+\frac{2\,A\,a}{5}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}-\frac{\frac{2\,B\,a}{3}+2\,B\,b\,\mathrm{tan}\left(c+d\,x\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}","Not used",1,"2*atanh((32*A^2*a^2*d^3*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) - 16*A^3*a^3*d^2 + 16*A^3*a*b^2*d^2) - (32*A^2*b^2*d^3*tan(c + d*x)^(1/2)*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) - 16*A^3*a^3*d^2 + 16*A^3*a*b^2*d^2))*((2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4) + (A^2*a*b)/(2*d^2))^(1/2) - 2*atanh((32*A^2*a^2*d^3*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) + 16*A^3*a^3*d^2 - 16*A^3*a*b^2*d^2) - (32*A^2*b^2*d^3*tan(c + d*x)^(1/2)*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A*b*(2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2) + 16*A^3*a^3*d^2 - 16*A^3*a*b^2*d^2))*((A^2*a*b)/(2*d^2) - (2*A^4*a^2*b^2*d^4 - A^4*b^4*d^4 - A^4*a^4*d^4)^(1/2)/(4*d^4))^(1/2) + 2*atanh((32*B^2*a^2*d^3*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/(16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) - 16*B^3*b^3*d^2 + 16*B^3*a^2*b*d^2) - (32*B^2*b^2*d^3*tan(c + d*x)^(1/2)*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/(16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) - 16*B^3*b^3*d^2 + 16*B^3*a^2*b*d^2))*(- (2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2) - 2*atanh((32*B^2*a^2*d^3*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/(16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) + 16*B^3*b^3*d^2 - 16*B^3*a^2*b*d^2) - (32*B^2*b^2*d^3*tan(c + d*x)^(1/2)*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2))/(16*B*a*(2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2) + 16*B^3*b^3*d^2 - 16*B^3*a^2*b*d^2))*((2*B^4*a^2*b^2*d^4 - B^4*b^4*d^4 - B^4*a^4*d^4)^(1/2)/(4*d^4) - (B^2*a*b)/(2*d^2))^(1/2) - ((2*A*a)/5 + (2*A*b*tan(c + d*x))/3 - 2*A*a*tan(c + d*x)^2)/(d*tan(c + d*x)^(5/2)) - ((2*B*a)/3 + 2*B*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2))","B"
385,1,3914,394,25.931313,"\text{Not used}","int(tan(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,A\,a^2}{3\,d}-\frac{2\,A\,b^2}{3\,d}\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,B\,a^2}{d}-\frac{2\,B\,b^2}{d}\right)+{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\left(\frac{2\,B\,a^2}{5\,d}-\frac{2\,B\,b^2}{5\,d}\right)+\frac{2\,A\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\frac{2\,B\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{9/2}}{9\,d}-\frac{4\,A\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{4\,A\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\frac{4\,B\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{4\,B\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^6}{d}-\frac{16\,A^3\,b^6}{d}+\frac{112\,A^3\,a^2\,b^4}{d}-\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}+\frac{A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^6}{d}-\frac{16\,A^3\,b^6}{d}+\frac{112\,A^3\,a^2\,b^4}{d}-\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}-\frac{A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,192{}\mathrm{i}}{\frac{16\,A^3\,a^6}{d}-\frac{16\,A^3\,b^6}{d}+\frac{112\,A^3\,a^2\,b^4}{d}-\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A^3\,b^6}{d}-\frac{16\,A^3\,a^6}{d}-\frac{112\,A^3\,a^2\,b^4}{d}+\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}+\frac{A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A^3\,b^6}{d}-\frac{16\,A^3\,a^6}{d}-\frac{112\,A^3\,a^2\,b^4}{d}+\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}-\frac{A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,A^3\,b^6}{d}-\frac{16\,A^3\,a^6}{d}-\frac{112\,A^3\,a^2\,b^4}{d}+\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((B^2*a^4*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) + (B^2*b^4*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*192i)/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d))*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*2i + atan((B^2*a^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) + (B^2*b^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*192i)/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d))*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*2i - atan((A^2*a^4*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*A^3*a^6)/d - (16*A^3*b^6)/d + (112*A^3*a^2*b^4)/d - (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) + (A^2*b^4*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*A^3*a^6)/d - (16*A^3*b^6)/d + (112*A^3*a^2*b^4)/d - (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) - (A^2*a^2*b^2*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*192i)/((16*A^3*a^6)/d - (16*A^3*b^6)/d + (112*A^3*a^2*b^4)/d - (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3))*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*2i + atan((A^2*a^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A^3*b^6)/d - (16*A^3*a^6)/d - (112*A^3*a^2*b^4)/d + (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) + (A^2*b^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A^3*b^6)/d - (16*A^3*a^6)/d - (112*A^3*a^2*b^4)/d + (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) - (A^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*192i)/((16*A^3*b^6)/d - (16*A^3*a^6)/d - (112*A^3*a^2*b^4)/d + (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3))*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*2i + tan(c + d*x)^(3/2)*((2*A*a^2)/(3*d) - (2*A*b^2)/(3*d)) - tan(c + d*x)^(1/2)*((2*B*a^2)/d - (2*B*b^2)/d) + tan(c + d*x)^(5/2)*((2*B*a^2)/(5*d) - (2*B*b^2)/(5*d)) + (2*A*b^2*tan(c + d*x)^(7/2))/(7*d) + (2*B*b^2*tan(c + d*x)^(9/2))/(9*d) - (4*A*a*b*tan(c + d*x)^(1/2))/d + (4*A*a*b*tan(c + d*x)^(5/2))/(5*d) - (4*B*a*b*tan(c + d*x)^(3/2))/(3*d) + (4*B*a*b*tan(c + d*x)^(7/2))/(7*d)","B"
386,1,3869,360,18.477786,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,A\,a^2}{d}-\frac{2\,A\,b^2}{d}\right)+{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,B\,a^2}{3\,d}-\frac{2\,B\,b^2}{3\,d}\right)+\frac{2\,A\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{2\,B\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\frac{4\,A\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\frac{4\,B\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{4\,B\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^6}{d}-\frac{16\,B^3\,b^6}{d}+\frac{112\,B^3\,a^2\,b^4}{d}-\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^6}{d}-\frac{16\,B^3\,b^6}{d}+\frac{112\,B^3\,a^2\,b^4}{d}-\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,192{}\mathrm{i}}{\frac{16\,B^3\,a^6}{d}-\frac{16\,B^3\,b^6}{d}+\frac{112\,B^3\,a^2\,b^4}{d}-\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^6}{d}-\frac{16\,B^3\,a^6}{d}-\frac{112\,B^3\,a^2\,b^4}{d}+\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^6}{d}-\frac{16\,B^3\,a^6}{d}-\frac{112\,B^3\,a^2\,b^4}{d}+\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,B^3\,b^6}{d}-\frac{16\,B^3\,a^6}{d}-\frac{112\,B^3\,a^2\,b^4}{d}+\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}-\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}+\frac{A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}-\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}-\frac{A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}-\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}+\frac{A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}-\frac{A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((B^2*a^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B^3*b^6)/d - (16*B^3*a^6)/d - (112*B^3*a^2*b^4)/d + (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) + (B^2*b^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B^3*b^6)/d - (16*B^3*a^6)/d - (112*B^3*a^2*b^4)/d + (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*192i)/((16*B^3*b^6)/d - (16*B^3*a^6)/d - (112*B^3*a^2*b^4)/d + (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3))*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*2i - atan((B^2*a^4*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*B^3*a^6)/d - (16*B^3*b^6)/d + (112*B^3*a^2*b^4)/d - (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) + (B^2*b^4*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*B^3*a^6)/d - (16*B^3*b^6)/d + (112*B^3*a^2*b^4)/d - (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*192i)/((16*B^3*a^6)/d - (16*B^3*b^6)/d + (112*B^3*a^2*b^4)/d - (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3))*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*2i - atan((A^2*a^4*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d - (16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) + (A^2*b^4*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d - (16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) - (A^2*a^2*b^2*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2)*192i)/((16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d - (16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d))*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2)*2i - atan((A^2*a^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) + (A^2*b^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) - (A^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2)*192i)/((16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d))*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2)*2i + tan(c + d*x)^(1/2)*((2*A*a^2)/d - (2*A*b^2)/d) + tan(c + d*x)^(3/2)*((2*B*a^2)/(3*d) - (2*B*b^2)/(3*d)) + (2*A*b^2*tan(c + d*x)^(5/2))/(5*d) + (2*B*b^2*tan(c + d*x)^(7/2))/(7*d) + (4*A*a*b*tan(c + d*x)^(3/2))/(3*d) - (4*B*a*b*tan(c + d*x)^(1/2))/d + (4*B*a*b*tan(c + d*x)^(5/2))/(5*d)","B"
387,1,3825,326,12.963983,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,B\,a^2}{d}-\frac{2\,B\,b^2}{d}\right)+\frac{2\,A\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{2\,B\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{4\,A\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{4\,B\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^6}{d}-\frac{16\,A^3\,b^6}{d}+\frac{112\,A^3\,a^2\,b^4}{d}-\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}+\frac{A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,A^3\,a^6}{d}-\frac{16\,A^3\,b^6}{d}+\frac{112\,A^3\,a^2\,b^4}{d}-\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}-\frac{A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,192{}\mathrm{i}}{\frac{16\,A^3\,a^6}{d}-\frac{16\,A^3\,b^6}{d}+\frac{112\,A^3\,a^2\,b^4}{d}-\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A^3\,b^6}{d}-\frac{16\,A^3\,a^6}{d}-\frac{112\,A^3\,a^2\,b^4}{d}+\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}+\frac{A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,A^3\,b^6}{d}-\frac{16\,A^3\,a^6}{d}-\frac{112\,A^3\,a^2\,b^4}{d}+\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}-\frac{A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,A^3\,b^6}{d}-\frac{16\,A^3\,a^6}{d}-\frac{112\,A^3\,a^2\,b^4}{d}+\frac{112\,A^3\,a^4\,b^2}{d}+\frac{32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((A^2*a^4*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*A^3*a^6)/d - (16*A^3*b^6)/d + (112*A^3*a^2*b^4)/d - (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) + (A^2*b^4*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*A^3*a^6)/d - (16*A^3*b^6)/d + (112*A^3*a^2*b^4)/d - (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) - (A^2*a^2*b^2*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*192i)/((16*A^3*a^6)/d - (16*A^3*b^6)/d + (112*A^3*a^2*b^4)/d - (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3))*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*2i - atan((B^2*a^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) + (B^2*b^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*192i)/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d))*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2)*2i - atan((B^2*a^4*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) + (B^2*b^4*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*192i)/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d))*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2)*2i - atan((A^2*a^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A^3*b^6)/d - (16*A^3*a^6)/d - (112*A^3*a^2*b^4)/d + (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) + (A^2*b^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*32i)/((16*A^3*b^6)/d - (16*A^3*a^6)/d - (112*A^3*a^2*b^4)/d + (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3) - (A^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*192i)/((16*A^3*b^6)/d - (16*A^3*a^6)/d - (112*A^3*a^2*b^4)/d + (112*A^3*a^4*b^2)/d + (32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3))*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2)*2i + tan(c + d*x)^(1/2)*((2*B*a^2)/d - (2*B*b^2)/d) + (2*A*b^2*tan(c + d*x)^(3/2))/(3*d) + (2*B*b^2*tan(c + d*x)^(5/2))/(5*d) + (4*A*a*b*tan(c + d*x)^(1/2))/d + (4*B*a*b*tan(c + d*x)^(3/2))/(3*d)","B"
388,1,3773,294,9.784970,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2)/tan(c + d*x)^(1/2),x)","\frac{2\,A\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}}{\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}+\frac{32\,A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}}{\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}-\frac{192\,A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}}{\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}}{\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}-\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}+\frac{32\,A^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}}{\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}-\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}-\frac{192\,A^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}}{\frac{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}-\frac{192\,A^3\,a^3\,b^3}{d}-\frac{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{d^3}+\frac{32\,A^3\,a\,b^5}{d}+\frac{32\,A^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}+\frac{2\,B\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{4\,B\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^6}{d}-\frac{16\,B^3\,b^6}{d}+\frac{112\,B^3\,a^2\,b^4}{d}-\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,32{}\mathrm{i}}{\frac{16\,B^3\,a^6}{d}-\frac{16\,B^3\,b^6}{d}+\frac{112\,B^3\,a^2\,b^4}{d}-\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,192{}\mathrm{i}}{\frac{16\,B^3\,a^6}{d}-\frac{16\,B^3\,b^6}{d}+\frac{112\,B^3\,a^2\,b^4}{d}-\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^6}{d}-\frac{16\,B^3\,a^6}{d}-\frac{112\,B^3\,a^2\,b^4}{d}+\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}+\frac{B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,32{}\mathrm{i}}{\frac{16\,B^3\,b^6}{d}-\frac{16\,B^3\,a^6}{d}-\frac{112\,B^3\,a^2\,b^4}{d}+\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}-\frac{B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,192{}\mathrm{i}}{\frac{16\,B^3\,b^6}{d}-\frac{16\,B^3\,a^6}{d}-\frac{112\,B^3\,a^2\,b^4}{d}+\frac{112\,B^3\,a^4\,b^2}{d}+\frac{32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}\,2{}\mathrm{i}","Not used",1,"atan((B^2*a^4*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*B^3*a^6)/d - (16*B^3*b^6)/d + (112*B^3*a^2*b^4)/d - (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) + (B^2*b^4*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*32i)/((16*B^3*a^6)/d - (16*B^3*b^6)/d + (112*B^3*a^2*b^4)/d - (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*192i)/((16*B^3*a^6)/d - (16*B^3*b^6)/d + (112*B^3*a^2*b^4)/d - (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3))*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2)*2i - atan((B^2*a^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B^3*b^6)/d - (16*B^3*a^6)/d - (112*B^3*a^2*b^4)/d + (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) + (B^2*b^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*32i)/((16*B^3*b^6)/d - (16*B^3*a^6)/d - (112*B^3*a^2*b^4)/d + (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3) - (B^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*192i)/((16*B^3*b^6)/d - (16*B^3*a^6)/d - (112*B^3*a^2*b^4)/d + (112*B^3*a^4*b^2)/d + (32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3))*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2)*2i - 2*atanh((32*A^2*a^4*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2))/((16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d - (16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) + (32*A^2*b^4*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2))/((16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d - (16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) - (192*A^2*a^2*b^2*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2))/((16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d - (16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d))*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2) - 2*atanh((32*A^2*a^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2))/((16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) + (32*A^2*b^4*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2))/((16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d) - (192*A^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2))/((16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*A^3*a^3*b^3)/d + (32*A^3*a*b^5)/d + (32*A^3*a^5*b)/d))*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2) + (2*A*b^2*tan(c + d*x)^(1/2))/d + (2*B*b^2*tan(c + d*x)^(3/2))/(3*d) + (4*B*a*b*tan(c + d*x)^(1/2))/d","B"
389,1,3749,276,8.889366,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2)/tan(c + d*x)^(3/2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}}{16\,A^3\,a^6\,d^2-16\,A^3\,b^6\,d^2+112\,A^3\,a^2\,b^4\,d^2-112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}+\frac{32\,A^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}}{16\,A^3\,a^6\,d^2-16\,A^3\,b^6\,d^2+112\,A^3\,a^2\,b^4\,d^2-112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}-\frac{192\,A^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}}{16\,A^3\,a^6\,d^2-16\,A^3\,b^6\,d^2+112\,A^3\,a^2\,b^4\,d^2-112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}\right)\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}+\frac{32\,B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}-\frac{192\,B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}}{\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}+\frac{32\,B^2\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}-\frac{192\,B^2\,a^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}}{\frac{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}-\frac{192\,B^3\,a^3\,b^3}{d}-\frac{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{d^3}+\frac{32\,B^3\,a\,b^5}{d}+\frac{32\,B^3\,a^5\,b}{d}}\right)\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}}{16\,A^3\,b^6\,d^2-16\,A^3\,a^6\,d^2-112\,A^3\,a^2\,b^4\,d^2+112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}+\frac{32\,A^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}}{16\,A^3\,b^6\,d^2-16\,A^3\,a^6\,d^2-112\,A^3\,a^2\,b^4\,d^2+112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}-\frac{192\,A^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}}{16\,A^3\,b^6\,d^2-16\,A^3\,a^6\,d^2-112\,A^3\,a^2\,b^4\,d^2+112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}-\frac{2\,A\,a^2}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}+\frac{2\,B\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}","Not used",1,"2*atanh((32*A^2*a^4*d^3*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A^3*a^6*d^2 - 16*A^3*b^6*d^2 + 112*A^3*a^2*b^4*d^2 - 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) + (32*A^2*b^4*d^3*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A^3*a^6*d^2 - 16*A^3*b^6*d^2 + 112*A^3*a^2*b^4*d^2 - 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) - (192*A^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A^3*a^6*d^2 - 16*A^3*b^6*d^2 + 112*A^3*a^2*b^4*d^2 - 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)))*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2) - 2*atanh((32*B^2*a^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2))/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) + (32*B^2*b^4*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2))/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) - (192*B^2*a^2*b^2*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2))/((16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d))*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2) - 2*atanh((32*B^2*a^4*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2))/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) + (32*B^2*b^4*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2))/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d) - (192*B^2*a^2*b^2*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2))/((16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 - (192*B^3*a^3*b^3)/d - (16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2))/d^3 + (32*B^3*a*b^5)/d + (32*B^3*a^5*b)/d))*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2) - 2*atanh((32*A^2*a^4*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2))/(16*A^3*b^6*d^2 - 16*A^3*a^6*d^2 - 112*A^3*a^2*b^4*d^2 + 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) + (32*A^2*b^4*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2))/(16*A^3*b^6*d^2 - 16*A^3*a^6*d^2 - 112*A^3*a^2*b^4*d^2 + 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) - (192*A^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2))/(16*A^3*b^6*d^2 - 16*A^3*a^6*d^2 - 112*A^3*a^2*b^4*d^2 + 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)))*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2) - (2*A*a^2)/(d*tan(c + d*x)^(1/2)) + (2*B*b^2*tan(c + d*x)^(1/2))/d","B"
390,1,3745,283,9.742689,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2)/tan(c + d*x)^(5/2),x)","2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}}{16\,B^3\,a^6\,d^2-16\,B^3\,b^6\,d^2+32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}+112\,B^3\,a^2\,b^4\,d^2-112\,B^3\,a^4\,b^2\,d^2}+\frac{32\,B^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}}{16\,B^3\,a^6\,d^2-16\,B^3\,b^6\,d^2+32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}+112\,B^3\,a^2\,b^4\,d^2-112\,B^3\,a^4\,b^2\,d^2}-\frac{192\,B^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}}{16\,B^3\,a^6\,d^2-16\,B^3\,b^6\,d^2+32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}+112\,B^3\,a^2\,b^4\,d^2-112\,B^3\,a^4\,b^2\,d^2}\right)\,\sqrt{\frac{B^2\,a^3\,b}{d^2}-\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}}-2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}}{16\,B^3\,b^6\,d^2-16\,B^3\,a^6\,d^2+32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-112\,B^3\,a^2\,b^4\,d^2+112\,B^3\,a^4\,b^2\,d^2}+\frac{32\,B^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}}{16\,B^3\,b^6\,d^2-16\,B^3\,a^6\,d^2+32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-112\,B^3\,a^2\,b^4\,d^2+112\,B^3\,a^4\,b^2\,d^2}-\frac{192\,B^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}}{16\,B^3\,b^6\,d^2-16\,B^3\,a^6\,d^2+32\,B\,a\,b\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-112\,B^3\,a^2\,b^4\,d^2+112\,B^3\,a^4\,b^2\,d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a\,b^3}{d^2}+\frac{B^2\,a^3\,b}{d^2}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}}{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-192\,A^3\,a^3\,b^3\,d^2+32\,A^3\,a\,b^5\,d^2+32\,A^3\,a^5\,b\,d^2}+\frac{32\,A^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}}{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-192\,A^3\,a^3\,b^3\,d^2+32\,A^3\,a\,b^5\,d^2+32\,A^3\,a^5\,b\,d^2}-\frac{192\,A^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}}{16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-192\,A^3\,a^3\,b^3\,d^2+32\,A^3\,a\,b^5\,d^2+32\,A^3\,a^5\,b\,d^2}\right)\,\sqrt{\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a^3\,b}{d^2}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}}{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-192\,A^3\,a^3\,b^3\,d^2+32\,A^3\,a\,b^5\,d^2+32\,A^3\,a^5\,b\,d^2}+\frac{32\,A^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}}{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-192\,A^3\,a^3\,b^3\,d^2+32\,A^3\,a\,b^5\,d^2+32\,A^3\,a^5\,b\,d^2}-\frac{192\,A^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}}{16\,A\,b^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-16\,A\,a^2\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}-192\,A^3\,a^3\,b^3\,d^2+32\,A^3\,a\,b^5\,d^2+32\,A^3\,a^5\,b\,d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}+\frac{A^2\,a\,b^3}{d^2}-\frac{A^2\,a^3\,b}{d^2}}-\frac{\frac{2\,A\,a^2}{3}+4\,A\,b\,\mathrm{tan}\left(c+d\,x\right)\,a}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{2\,B\,a^2}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"2*atanh((32*B^2*a^4*d^3*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*B^3*a^6*d^2 - 16*B^3*b^6*d^2 + 32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) + 112*B^3*a^2*b^4*d^2 - 112*B^3*a^4*b^2*d^2) + (32*B^2*b^4*d^3*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*B^3*a^6*d^2 - 16*B^3*b^6*d^2 + 32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) + 112*B^3*a^2*b^4*d^2 - 112*B^3*a^4*b^2*d^2) - (192*B^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*B^3*a^6*d^2 - 16*B^3*b^6*d^2 + 32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) + 112*B^3*a^2*b^4*d^2 - 112*B^3*a^4*b^2*d^2))*((B^2*a^3*b)/d^2 - (B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2) - 2*atanh((32*B^2*a^4*d^3*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2))/(16*B^3*b^6*d^2 - 16*B^3*a^6*d^2 + 32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 112*B^3*a^2*b^4*d^2 + 112*B^3*a^4*b^2*d^2) + (32*B^2*b^4*d^3*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2))/(16*B^3*b^6*d^2 - 16*B^3*a^6*d^2 + 32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 112*B^3*a^2*b^4*d^2 + 112*B^3*a^4*b^2*d^2) - (192*B^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2))/(16*B^3*b^6*d^2 - 16*B^3*a^6*d^2 + 32*B*a*b*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 112*B^3*a^2*b^4*d^2 + 112*B^3*a^4*b^2*d^2))*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a*b^3)/d^2 + (B^2*a^3*b)/d^2)^(1/2) + 2*atanh((32*A^2*a^4*d^3*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2))/(16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 192*A^3*a^3*b^3*d^2 + 32*A^3*a*b^5*d^2 + 32*A^3*a^5*b*d^2) + (32*A^2*b^4*d^3*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2))/(16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 192*A^3*a^3*b^3*d^2 + 32*A^3*a*b^5*d^2 + 32*A^3*a^5*b*d^2) - (192*A^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2))/(16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 192*A^3*a^3*b^3*d^2 + 32*A^3*a*b^5*d^2 + 32*A^3*a^5*b*d^2))*((A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a^3*b)/d^2)^(1/2) + 2*atanh((32*A^2*a^4*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2))/(16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 192*A^3*a^3*b^3*d^2 + 32*A^3*a*b^5*d^2 + 32*A^3*a^5*b*d^2) + (32*A^2*b^4*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2))/(16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 192*A^3*a^3*b^3*d^2 + 32*A^3*a*b^5*d^2 + 32*A^3*a^5*b*d^2) - (192*A^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2))/(16*A*b^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 16*A*a^2*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2) - 192*A^3*a^3*b^3*d^2 + 32*A^3*a*b^5*d^2 + 32*A^3*a^5*b*d^2))*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (A^2*a*b^3)/d^2 - (A^2*a^3*b)/d^2)^(1/2) - ((2*A*a^2)/3 + 4*A*a*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2)) - (2*B*a^2)/(d*tan(c + d*x)^(1/2))","B"
391,1,3782,317,12.726148,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2)/tan(c + d*x)^(7/2),x)","2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}}{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-192\,B^3\,a^3\,b^3\,d^2+32\,B^3\,a\,b^5\,d^2+32\,B^3\,a^5\,b\,d^2}+\frac{32\,B^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}}{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-192\,B^3\,a^3\,b^3\,d^2+32\,B^3\,a\,b^5\,d^2+32\,B^3\,a^5\,b\,d^2}-\frac{192\,B^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}}{16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-192\,B^3\,a^3\,b^3\,d^2+32\,B^3\,a\,b^5\,d^2+32\,B^3\,a^5\,b\,d^2}\right)\,\sqrt{\frac{B^2\,a\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}-\frac{B^2\,a^3\,b}{d^2}}+2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}}{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-192\,B^3\,a^3\,b^3\,d^2+32\,B^3\,a\,b^5\,d^2+32\,B^3\,a^5\,b\,d^2}+\frac{32\,B^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}}{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-192\,B^3\,a^3\,b^3\,d^2+32\,B^3\,a\,b^5\,d^2+32\,B^3\,a^5\,b\,d^2}-\frac{192\,B^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}}{16\,B\,b^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-16\,B\,a^2\,\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}-192\,B^3\,a^3\,b^3\,d^2+32\,B^3\,a\,b^5\,d^2+32\,B^3\,a^5\,b\,d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^8\,d^4+12\,B^4\,a^6\,b^2\,d^4-38\,B^4\,a^4\,b^4\,d^4+12\,B^4\,a^2\,b^6\,d^4-B^4\,b^8\,d^4}}{4\,d^4}+\frac{B^2\,a\,b^3}{d^2}-\frac{B^2\,a^3\,b}{d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}}{16\,A^3\,a^6\,d^2-16\,A^3\,b^6\,d^2+112\,A^3\,a^2\,b^4\,d^2-112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}+\frac{32\,A^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}}{16\,A^3\,a^6\,d^2-16\,A^3\,b^6\,d^2+112\,A^3\,a^2\,b^4\,d^2-112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}-\frac{192\,A^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}}{16\,A^3\,a^6\,d^2-16\,A^3\,b^6\,d^2+112\,A^3\,a^2\,b^4\,d^2-112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}\right)\,\sqrt{\frac{A^2\,a^3\,b}{d^2}-\frac{A^2\,a\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}}{16\,A^3\,b^6\,d^2-16\,A^3\,a^6\,d^2-112\,A^3\,a^2\,b^4\,d^2+112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}+\frac{32\,A^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}}{16\,A^3\,b^6\,d^2-16\,A^3\,a^6\,d^2-112\,A^3\,a^2\,b^4\,d^2+112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}-\frac{192\,A^2\,a^2\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}}{16\,A^3\,b^6\,d^2-16\,A^3\,a^6\,d^2-112\,A^3\,a^2\,b^4\,d^2+112\,A^3\,a^4\,b^2\,d^2+32\,A\,a\,b\,\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^8\,d^4+12\,A^4\,a^6\,b^2\,d^4-38\,A^4\,a^4\,b^4\,d^4+12\,A^4\,a^2\,b^6\,d^4-A^4\,b^8\,d^4}}{4\,d^4}-\frac{A^2\,a\,b^3}{d^2}+\frac{A^2\,a^3\,b}{d^2}}-\frac{\frac{2\,B\,a^2}{3}+4\,B\,b\,\mathrm{tan}\left(c+d\,x\right)\,a}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{\frac{2\,A\,a^2}{5}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,A\,a^2-2\,A\,b^2\right)+\frac{4\,A\,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*B^2*a^4*d^3*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2))/(16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 192*B^3*a^3*b^3*d^2 + 32*B^3*a*b^5*d^2 + 32*B^3*a^5*b*d^2) + (32*B^2*b^4*d^3*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2))/(16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 192*B^3*a^3*b^3*d^2 + 32*B^3*a*b^5*d^2 + 32*B^3*a^5*b*d^2) - (192*B^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2))/(16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 192*B^3*a^3*b^3*d^2 + 32*B^3*a*b^5*d^2 + 32*B^3*a^5*b*d^2))*((B^2*a*b^3)/d^2 - (12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (B^2*a^3*b)/d^2)^(1/2) + 2*atanh((32*B^2*a^4*d^3*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2))/(16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 192*B^3*a^3*b^3*d^2 + 32*B^3*a*b^5*d^2 + 32*B^3*a^5*b*d^2) + (32*B^2*b^4*d^3*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2))/(16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 192*B^3*a^3*b^3*d^2 + 32*B^3*a*b^5*d^2 + 32*B^3*a^5*b*d^2) - (192*B^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2))/(16*B*b^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 16*B*a^2*(12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2) - 192*B^3*a^3*b^3*d^2 + 32*B^3*a*b^5*d^2 + 32*B^3*a^5*b*d^2))*((12*B^4*a^2*b^6*d^4 - B^4*b^8*d^4 - B^4*a^8*d^4 - 38*B^4*a^4*b^4*d^4 + 12*B^4*a^6*b^2*d^4)^(1/2)/(4*d^4) + (B^2*a*b^3)/d^2 - (B^2*a^3*b)/d^2)^(1/2) - 2*atanh((32*A^2*a^4*d^3*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A^3*a^6*d^2 - 16*A^3*b^6*d^2 + 112*A^3*a^2*b^4*d^2 - 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) + (32*A^2*b^4*d^3*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A^3*a^6*d^2 - 16*A^3*b^6*d^2 + 112*A^3*a^2*b^4*d^2 - 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) - (192*A^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2))/(16*A^3*a^6*d^2 - 16*A^3*b^6*d^2 + 112*A^3*a^2*b^4*d^2 - 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)))*((A^2*a^3*b)/d^2 - (A^2*a*b^3)/d^2 - (12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4))^(1/2) + 2*atanh((32*A^2*a^4*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2))/(16*A^3*b^6*d^2 - 16*A^3*a^6*d^2 - 112*A^3*a^2*b^4*d^2 + 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) + (32*A^2*b^4*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2))/(16*A^3*b^6*d^2 - 16*A^3*a^6*d^2 - 112*A^3*a^2*b^4*d^2 + 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)) - (192*A^2*a^2*b^2*d^3*tan(c + d*x)^(1/2)*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2))/(16*A^3*b^6*d^2 - 16*A^3*a^6*d^2 - 112*A^3*a^2*b^4*d^2 + 112*A^3*a^4*b^2*d^2 + 32*A*a*b*(12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)))*((12*A^4*a^2*b^6*d^4 - A^4*b^8*d^4 - A^4*a^8*d^4 - 38*A^4*a^4*b^4*d^4 + 12*A^4*a^6*b^2*d^4)^(1/2)/(4*d^4) - (A^2*a*b^3)/d^2 + (A^2*a^3*b)/d^2)^(1/2) - ((2*B*a^2)/3 + 4*B*a*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2)) - ((2*A*a^2)/5 - tan(c + d*x)^2*(2*A*a^2 - 2*A*b^2) + (4*A*a*b*tan(c + d*x))/3)/(d*tan(c + d*x)^(5/2))","B"
392,1,6774,463,32.652342,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,A\,a^3}{d}-\frac{6\,A\,a\,b^2}{d}\right)-{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,A\,b^3}{3\,d}-\frac{2\,A\,a^2\,b}{d}\right)+{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,B\,a^3}{3\,d}-\frac{2\,B\,a\,b^2}{d}\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,B\,b^3}{d}-\frac{6\,B\,a^2\,b}{d}\right)-{\mathrm{tan}\left(c+d\,x\right)}^{5/2}\,\left(\frac{2\,B\,b^3}{5\,d}-\frac{6\,B\,a^2\,b}{5\,d}\right)+\frac{2\,A\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\frac{2\,B\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{9/2}}{9\,d}+\frac{6\,A\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{6\,B\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,A^3\,a^8\,b+8\,A^3\,a^6\,b^3+6\,A^3\,a^4\,b^5-A^3\,b^9\right)}{d^3}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,A^3\,a^8\,b+8\,A^3\,a^6\,b^3+6\,A^3\,a^4\,b^5-A^3\,b^9\right)}{d^3}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}-\frac{16\,\left(-B^3\,a^9+6\,B^3\,a^5\,b^4+8\,B^3\,a^3\,b^6+3\,B^3\,a\,b^8\right)}{d^3}}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}-\frac{16\,\left(-B^3\,a^9+6\,B^3\,a^5\,b^4+8\,B^3\,a^3\,b^6+3\,B^3\,a\,b^8\right)}{d^3}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"tan(c + d*x)^(1/2)*((2*A*a^3)/d - (6*A*a*b^2)/d) - tan(c + d*x)^(3/2)*((2*A*b^3)/(3*d) - (2*A*a^2*b)/d) + tan(c + d*x)^(3/2)*((2*B*a^3)/(3*d) - (2*B*a*b^2)/d) + tan(c + d*x)^(1/2)*((2*B*b^3)/d - (6*B*a^2*b)/d) - tan(c + d*x)^(5/2)*((2*B*b^3)/(5*d) - (6*B*a^2*b)/(5*d)) - atan((((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i)/((16*(3*A^3*a^8*b - A^3*b^9 + 6*A^3*a^4*b^5 + 8*A^3*a^6*b^3))/d^3 + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)))*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i)/((16*(3*A^3*a^8*b - A^3*b^9 + 6*A^3*a^4*b^5 + 8*A^3*a^6*b^3))/d^3 + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)))*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i + atan((((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2) - (16*(3*B^3*a*b^8 - B^3*a^9 + 8*B^3*a^3*b^6 + 6*B^3*a^5*b^4))/d^3))*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i + atan((((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2) - (16*(3*B^3*a*b^8 - B^3*a^9 + 8*B^3*a^3*b^6 + 6*B^3*a^5*b^4))/d^3))*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i + (2*A*b^3*tan(c + d*x)^(7/2))/(7*d) + (2*B*b^3*tan(c + d*x)^(9/2))/(9*d) + (6*A*a*b^2*tan(c + d*x)^(5/2))/(5*d) + (6*B*a*b^2*tan(c + d*x)^(7/2))/(7*d)","B"
393,1,6716,421,20.832541,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,B\,a^3}{d}-\frac{6\,B\,a\,b^2}{d}\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,A\,b^3}{d}-\frac{6\,A\,a^2\,b}{d}\right)-{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(\frac{2\,B\,b^3}{3\,d}-\frac{2\,B\,a^2\,b}{d}\right)+\frac{2\,A\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{2\,B\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{7/2}}{7\,d}+\frac{2\,A\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{d}+\frac{6\,B\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}-\frac{16\,\left(-A^3\,a^9+6\,A^3\,a^5\,b^4+8\,A^3\,a^3\,b^6+3\,A^3\,a\,b^8\right)}{d^3}+\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}-\frac{16\,\left(-A^3\,a^9+6\,A^3\,a^5\,b^4+8\,A^3\,a^3\,b^6+3\,A^3\,a\,b^8\right)}{d^3}+\left(\frac{8\,\left(4\,A\,b^3\,d^2-12\,A\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\frac{16\,\left(3\,B^3\,a^8\,b+8\,B^3\,a^6\,b^3+6\,B^3\,a^4\,b^5-B^3\,b^9\right)}{d^3}}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\frac{16\,\left(3\,B^3\,a^8\,b+8\,B^3\,a^6\,b^3+6\,B^3\,a^4\,b^5-B^3\,b^9\right)}{d^3}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"tan(c + d*x)^(1/2)*((2*B*a^3)/d - (6*B*a*b^2)/d) - tan(c + d*x)^(1/2)*((2*A*b^3)/d - (6*A*a^2*b)/d) - tan(c + d*x)^(3/2)*((2*B*b^3)/(3*d) - (2*B*a^2*b)/d) - atan((((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2) - (16*(3*A^3*a*b^8 - A^3*a^9 + 8*A^3*a^3*b^6 + 6*A^3*a^5*b^4))/d^3 + ((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)))*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2) - (16*(3*A^3*a*b^8 - A^3*a^9 + 8*A^3*a^3*b^6 + 6*A^3*a^5*b^4))/d^3 + ((8*(4*A*b^3*d^2 - 12*A*a^2*b*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)))*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + (16*(3*B^3*a^8*b - B^3*b^9 + 6*B^3*a^4*b^5 + 8*B^3*a^6*b^3))/d^3))*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + (16*(3*B^3*a^8*b - B^3*b^9 + 6*B^3*a^4*b^5 + 8*B^3*a^6*b^3))/d^3))*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i + (2*A*b^3*tan(c + d*x)^(5/2))/(5*d) + (2*B*b^3*tan(c + d*x)^(7/2))/(7*d) + (2*A*a*b^2*tan(c + d*x)^(3/2))/d + (6*B*a*b^2*tan(c + d*x)^(5/2))/(5*d)","B"
394,1,6657,380,11.981558,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3)/tan(c + d*x)^(1/2),x)","\frac{2\,A\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(\frac{2\,B\,b^3}{d}-\frac{6\,B\,a^2\,b}{d}\right)+\frac{2\,B\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}{5\,d}+\frac{6\,A\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{2\,B\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{d}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,A^3\,a^8\,b+8\,A^3\,a^6\,b^3+6\,A^3\,a^4\,b^5-A^3\,b^9\right)}{d^3}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\frac{16\,\left(3\,A^3\,a^8\,b+8\,A^3\,a^6\,b^3+6\,A^3\,a^4\,b^5-A^3\,b^9\right)}{d^3}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,A\,a^3\,d^2-12\,A\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^2\,a^6-15\,A^2\,a^4\,b^2+15\,A^2\,a^2\,b^4-A^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}-\frac{16\,\left(-B^3\,a^9+6\,B^3\,a^5\,b^4+8\,B^3\,a^3\,b^6+3\,B^3\,a\,b^8\right)}{d^3}}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,b^3\,d^2-12\,B\,a^2\,b\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}-\frac{16\,\left(-B^3\,a^9+6\,B^3\,a^5\,b^4+8\,B^3\,a^3\,b^6+3\,B^3\,a\,b^8\right)}{d^3}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i)/((16*(3*A^3*a^8*b - A^3*b^9 + 6*A^3*a^4*b^5 + 8*A^3*a^6*b^3))/d^3 + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)))*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i - tan(c + d*x)^(1/2)*((2*B*b^3)/d - (6*B*a^2*b)/d) + atan((((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*1i)/((16*(3*A^3*a^8*b - A^3*b^9 + 6*A^3*a^4*b^5 + 8*A^3*a^6*b^3))/d^3 + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*A*a^3*d^2 - 12*A*a*b^2*d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(A^2*a^6 - A^2*b^6 + 15*A^2*a^2*b^4 - 15*A^2*a^4*b^2))/d^2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)))*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2) - (16*(3*B^3*a*b^8 - B^3*a^9 + 8*B^3*a^3*b^6 + 6*B^3*a^5*b^4))/d^3))*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*b^3*d^2 - 12*B*a^2*b*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2) - (16*(3*B^3*a*b^8 - B^3*a^9 + 8*B^3*a^3*b^6 + 6*B^3*a^5*b^4))/d^3))*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i + (2*A*b^3*tan(c + d*x)^(3/2))/(3*d) + (2*B*b^3*tan(c + d*x)^(5/2))/(5*d) + (6*A*a*b^2*tan(c + d*x)^(1/2))/d + (2*B*a*b^2*tan(c + d*x)^(3/2))/d","B"
395,1,7108,374,9.929848,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3)/tan(c + d*x)^(3/2),x)","\frac{2\,A\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{2\,A\,a^3}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}+\frac{2\,B\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}+\frac{6\,B\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{A^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{A^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}+\frac{A^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{A^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{A^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{A^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}+\frac{A^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{A^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\frac{16\,\left(3\,B^3\,a^8\,b+8\,B^3\,a^6\,b^3+6\,B^3\,a^4\,b^5-B^3\,b^9\right)}{d^3}}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}-\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,1{}\mathrm{i}}{\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\left(\frac{8\,\left(4\,B\,a^3\,d^2-12\,B\,a\,b^2\,d^2\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{d^3}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^2\,a^6-15\,B^2\,a^4\,b^2+15\,B^2\,a^2\,b^4-B^2\,b^6\right)}{d^2}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+\frac{16\,\left(3\,B^3\,a^8\,b+8\,B^3\,a^6\,b^3+6\,B^3\,a^4\,b^5-B^3\,b^9\right)}{d^3}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"atan((((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + (16*(3*B^3*a^8*b - B^3*b^9 + 6*B^3*a^4*b^5 + 8*B^3*a^6*b^3))/d^3))*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((A^2*a^6*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (A^2*b^6*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) + (A^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (A^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2))*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((A^2*a^6*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (A^2*b^6*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) + (A^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (A^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2))*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2)*2i + atan((((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i - ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*1i)/(((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 - (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + ((8*(4*B*a^3*d^2 - 12*B*a*b^2*d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/d^3 + (16*tan(c + d*x)^(1/2)*(B^2*a^6 - B^2*b^6 + 15*B^2*a^2*b^4 - 15*B^2*a^4*b^2))/d^2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + (16*(3*B^3*a^8*b - B^3*b^9 + 6*B^3*a^4*b^5 + 8*B^3*a^6*b^3))/d^3))*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i - (2*A*a^3)/(d*tan(c + d*x)^(1/2)) + (2*A*b^3*tan(c + d*x)^(1/2))/d + (2*B*b^3*tan(c + d*x)^(3/2))/(3*d) + (6*B*a*b^2*tan(c + d*x)^(1/2))/d","B"
396,1,7578,372,10.145320,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3)/tan(c + d*x)^(5/2),x)","2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,b^9\,d^2-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2-48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}-\frac{32\,A^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,b^9\,d^2-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2-48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}+\frac{480\,A^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,b^9\,d^2-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2-48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}-\frac{480\,A^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,b^9\,d^2-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2-48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}\right)\,\sqrt{\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,b^9\,d^2-16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2+48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}-\frac{32\,A^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,b^9\,d^2-16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2+48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}+\frac{480\,A^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,b^9\,d^2-16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2+48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}-\frac{480\,A^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,b^9\,d^2-16\,A\,a^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-288\,A^3\,a^2\,b^7\,d^2+960\,A^3\,a^4\,b^5\,d^2-736\,A^3\,a^6\,b^3\,d^2+48\,A\,a\,b^2\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a^8\,b\,d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{3\,A^2\,a^5\,b}{2\,d^2}}-\frac{\frac{2\,A\,a^3}{3}+6\,A\,b\,\mathrm{tan}\left(c+d\,x\right)\,a^2}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{2\,B\,a^3}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}+\frac{2\,B\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{B^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,B^3\,a^9\,d^2-16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2+48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{B^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,B^3\,a^9\,d^2-16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2+48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}+\frac{B^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,B^3\,a^9\,d^2-16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2+48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{B^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,B^3\,a^9\,d^2-16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2+48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}\right)\,\sqrt{\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{B^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,B^3\,a^9\,d^2+16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2-48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{B^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,32{}\mathrm{i}}{16\,B^3\,a^9\,d^2+16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2-48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}+\frac{B^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,B^3\,a^9\,d^2+16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2-48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{B^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,480{}\mathrm{i}}{16\,B^3\,a^9\,d^2+16\,B\,b^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-736\,B^3\,a^3\,b^6\,d^2+960\,B^3\,a^5\,b^4\,d^2-288\,B^3\,a^7\,b^2\,d^2+48\,B^3\,a\,b^8\,d^2-48\,B\,a^2\,b\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,B^2\,a^3\,b^3}{d^2}+\frac{3\,B^2\,a\,b^5}{2\,d^2}+\frac{3\,B^2\,a^5\,b}{2\,d^2}}\,2{}\mathrm{i}","Not used",1,"2*atanh((32*A^2*a^6*d^3*tan(c + d*x)^(1/2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*b^9*d^2 - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 - 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2) - (32*A^2*b^6*d^3*tan(c + d*x)^(1/2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*b^9*d^2 - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 - 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2) + (480*A^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*b^9*d^2 - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 - 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2) - (480*A^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*b^9*d^2 - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 - 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2))*((5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2) - atan((B^2*a^6*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*B^3*a^9*d^2 + 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 - 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (B^2*b^6*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*B^3*a^9*d^2 + 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 - 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) + (B^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*B^3*a^9*d^2 + 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 - 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (B^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*B^3*a^9*d^2 + 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 - 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)))*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*B^2*a^3*b^3)/d^2 + (3*B^2*a*b^5)/(2*d^2) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i - atan((B^2*a^6*d^3*tan(c + d*x)^(1/2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*B^3*a^9*d^2 - 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 + 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (B^2*b^6*d^3*tan(c + d*x)^(1/2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*32i)/(16*B^3*a^9*d^2 - 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 + 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) + (B^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*B^3*a^9*d^2 - 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 + 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (B^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*480i)/(16*B^3*a^9*d^2 - 16*B*b^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 736*B^3*a^3*b^6*d^2 + 960*B^3*a^5*b^4*d^2 - 288*B^3*a^7*b^2*d^2 + 48*B^3*a*b^8*d^2 + 48*B*a^2*b*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)))*((3*B^2*a*b^5)/(2*d^2) - (5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*B^2*a^5*b)/(2*d^2))^(1/2)*2i + 2*atanh((32*A^2*a^6*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*b^9*d^2 - 16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 + 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2) - (32*A^2*b^6*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*b^9*d^2 - 16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 + 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2) + (480*A^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*b^9*d^2 - 16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 + 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2) - (480*A^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*b^9*d^2 - 16*A*a^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 288*A^3*a^2*b^7*d^2 + 960*A^3*a^4*b^5*d^2 - 736*A^3*a^6*b^3*d^2 + 48*A*a*b^2*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a^8*b*d^2))*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*A^2*a^3*b^3)/d^2 - (3*A^2*a*b^5)/(2*d^2) - (3*A^2*a^5*b)/(2*d^2))^(1/2) - ((2*A*a^3)/3 + 6*A*a^2*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2)) - (2*B*a^3)/(d*tan(c + d*x)^(1/2)) + (2*B*b^3*tan(c + d*x)^(1/2))/d","B"
397,1,7591,380,12.195537,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3)/tan(c + d*x)^(7/2),x)","2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2+16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2-48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{32\,B^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2+16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2-48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}+\frac{480\,B^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2+16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2-48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{480\,B^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2+16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2-48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}\right)\,\sqrt{\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}+2\,\mathrm{atanh}\left(\frac{32\,B^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2-16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2+48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{32\,B^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2-16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2+48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}+\frac{480\,B^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2-16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2+48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}-\frac{480\,B^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}}{16\,B^3\,b^9\,d^2-16\,B\,a^3\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}-288\,B^3\,a^2\,b^7\,d^2+960\,B^3\,a^4\,b^5\,d^2-736\,B^3\,a^6\,b^3\,d^2+48\,B^3\,a^8\,b\,d^2+48\,B\,a\,b^2\,\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^{12}\,d^4+30\,B^4\,a^{10}\,b^2\,d^4-255\,B^4\,a^8\,b^4\,d^4+452\,B^4\,a^6\,b^6\,d^4-255\,B^4\,a^4\,b^8\,d^4+30\,B^4\,a^2\,b^{10}\,d^4-B^4\,b^{12}\,d^4}}{4\,d^4}+\frac{5\,B^2\,a^3\,b^3}{d^2}-\frac{3\,B^2\,a\,b^5}{2\,d^2}-\frac{3\,B^2\,a^5\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{32\,A^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}+\frac{480\,A^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{480\,A^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A^3\,a^9\,d^2-16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2+48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}\right)\,\sqrt{\frac{3\,A^2\,a\,b^5}{2\,d^2}-\frac{5\,A^2\,a^3\,b^3}{d^2}-\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}-2\,\mathrm{atanh}\left(\frac{32\,A^2\,a^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{32\,A^2\,b^6\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}+\frac{480\,A^2\,a^2\,b^4\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}-\frac{480\,A^2\,a^4\,b^2\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}}{16\,A\,b^3\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+16\,A^3\,a^9\,d^2-736\,A^3\,a^3\,b^6\,d^2+960\,A^3\,a^5\,b^4\,d^2-288\,A^3\,a^7\,b^2\,d^2-48\,A\,a^2\,b\,\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}+48\,A^3\,a\,b^8\,d^2}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^{12}\,d^4+30\,A^4\,a^{10}\,b^2\,d^4-255\,A^4\,a^8\,b^4\,d^4+452\,A^4\,a^6\,b^6\,d^4-255\,A^4\,a^4\,b^8\,d^4+30\,A^4\,a^2\,b^{10}\,d^4-A^4\,b^{12}\,d^4}}{4\,d^4}-\frac{5\,A^2\,a^3\,b^3}{d^2}+\frac{3\,A^2\,a\,b^5}{2\,d^2}+\frac{3\,A^2\,a^5\,b}{2\,d^2}}-\frac{\frac{2\,A\,a^3}{5}-{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,A\,a^3-6\,A\,a\,b^2\right)+2\,A\,a^2\,b\,\mathrm{tan}\left(c+d\,x\right)}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{5/2}}-\frac{\frac{2\,B\,a^3}{3}+6\,B\,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*B^2*a^6*d^3*tan(c + d*x)^(1/2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 + 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 - 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (32*B^2*b^6*d^3*tan(c + d*x)^(1/2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 + 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 - 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) + (480*B^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 + 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 - 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (480*B^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 + 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 - 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)))*((5*B^2*a^3*b^3)/d^2 - (30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) + 2*atanh((32*B^2*a^6*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 - 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 + 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (32*B^2*b^6*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 - 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 + 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) + (480*B^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 - 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 + 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)) - (480*B^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2))/(16*B^3*b^9*d^2 - 16*B*a^3*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2) - 288*B^3*a^2*b^7*d^2 + 960*B^3*a^4*b^5*d^2 - 736*B^3*a^6*b^3*d^2 + 48*B^3*a^8*b*d^2 + 48*B*a*b^2*(30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)))*((30*B^4*a^2*b^10*d^4 - B^4*b^12*d^4 - B^4*a^12*d^4 - 255*B^4*a^4*b^8*d^4 + 452*B^4*a^6*b^6*d^4 - 255*B^4*a^8*b^4*d^4 + 30*B^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (5*B^2*a^3*b^3)/d^2 - (3*B^2*a*b^5)/(2*d^2) - (3*B^2*a^5*b)/(2*d^2))^(1/2) - 2*atanh((32*A^2*a^6*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (32*A^2*b^6*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) + (480*A^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (480*A^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A^3*a^9*d^2 - 16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 + 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2))*((3*A^2*a*b^5)/(2*d^2) - (5*A^2*a^3*b^3)/d^2 - (30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) + (3*A^2*a^5*b)/(2*d^2))^(1/2) - 2*atanh((32*A^2*a^6*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (32*A^2*b^6*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) + (480*A^2*a^2*b^4*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2) - (480*A^2*a^4*b^2*d^3*tan(c + d*x)^(1/2)*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2))/(16*A*b^3*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 16*A^3*a^9*d^2 - 736*A^3*a^3*b^6*d^2 + 960*A^3*a^5*b^4*d^2 - 288*A^3*a^7*b^2*d^2 - 48*A*a^2*b*(30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2) + 48*A^3*a*b^8*d^2))*((30*A^4*a^2*b^10*d^4 - A^4*b^12*d^4 - A^4*a^12*d^4 - 255*A^4*a^4*b^8*d^4 + 452*A^4*a^6*b^6*d^4 - 255*A^4*a^8*b^4*d^4 + 30*A^4*a^10*b^2*d^4)^(1/2)/(4*d^4) - (5*A^2*a^3*b^3)/d^2 + (3*A^2*a*b^5)/(2*d^2) + (3*A^2*a^5*b)/(2*d^2))^(1/2) - ((2*A*a^3)/5 - tan(c + d*x)^2*(2*A*a^3 - 6*A*a*b^2) + 2*A*a^2*b*tan(c + d*x))/(d*tan(c + d*x)^(5/2)) - ((2*B*a^3)/3 + 6*B*a^2*b*tan(c + d*x))/(d*tan(c + d*x)^(3/2))","B"
398,1,16441,325,12.990169,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{2\,A\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b\,d}+\frac{2\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,b\,d}-\frac{2\,B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^6\,b-B^5\,a^4\,b^3\right)}{b^3\,d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^6\,b-B^5\,a^4\,b^3\right)}{b^3\,d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(A^5\,a^5-A^5\,a^3\,b^2\right)}{b\,d^5}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(A^5\,a^5-A^5\,a^3\,b^2\right)}{b\,d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,a^7\,\mathrm{atan}\left(\frac{\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}}{\frac{64\,\left(B^5\,a^6\,b-B^5\,a^4\,b^3\right)}{b^3\,d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}-\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8+B^4\,b^8\right)}{b^3\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{b^3\,d^5}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^5\,b^5\,d^2+4\,B^2\,a^3\,b^7\,d^2-14\,B^2\,a\,b^9\,d^2\right)}{b^3\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^5\,d^4+24\,B\,a^4\,b^7\,d^4+12\,B\,a^2\,b^9\,d^4\right)}{b^3\,d^5}+\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}\right)}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^{11}\,b^5\,d^2-2\,a^9\,b^7\,d^2-a^7\,b^9\,d^2}}-\frac{A\,a^5\,\mathrm{atan}\left(\frac{\frac{A\,a^5\,\left(\frac{A\,a^5\,\left(\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}+\frac{A\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}-\frac{A\,a^5\,\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,A\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}-\frac{A\,a^5\,\left(\frac{A\,a^5\,\left(\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}-\frac{A\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}+\frac{A\,a^5\,\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,A\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}}{\frac{64\,\left(A^5\,a^5-A^5\,a^3\,b^2\right)}{b\,d^5}+\frac{A\,a^5\,\left(\frac{A\,a^5\,\left(\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}+\frac{A\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}-\frac{A\,a^5\,\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,A\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}+\frac{A\,a^5\,\left(\frac{A\,a^5\,\left(\frac{32\,\left(12\,A^3\,a^6\,b\,d^2-15\,A^3\,a^4\,b^3\,d^2+A^3\,a^2\,b^5\,d^2\right)}{b\,d^5}-\frac{A\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,A^2\,a^7\,b\,d^2+2\,A^2\,a^5\,b^3\,d^2+4\,A^2\,a^3\,b^5\,d^2-14\,A^2\,a\,b^7\,d^2\right)}{b\,d^4}+\frac{A\,a^5\,\left(\frac{32\,\left(4\,A\,a^5\,b^4\,d^4+8\,A\,a^3\,b^6\,d^4+4\,A\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,A\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^6-A^4\,b^6\right)}{b\,d^4}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}","Not used",1,"atan(((((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(A^5*a^5 - A^5*a^3*b^2))/(b*d^5)))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^6*b - B^5*a^4*b^3))/(b^3*d^5)))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^6*b - B^5*a^4*b^3))/(b^3*d^5)))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(A^5*a^5 - A^5*a^3*b^2))/(b*d^5)))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - (B*a^7*atan(((B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4) + (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5) + (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4) - (B*a^7*((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) - (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2))))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2))*1i)/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2) + (B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4) - (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5) - (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4) + (B*a^7*((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) + (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2))))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2))*1i)/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2))/((64*(B^5*a^6*b - B^5*a^4*b^3))/(b^3*d^5) + (B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4) + (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5) + (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4) - (B*a^7*((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) - (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2))))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2) - (B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8 + B^4*b^8))/(b^3*d^4) - (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/(b^3*d^5) - (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^7*d^2 + 2*B^2*a^5*b^5*d^2 - 14*B^2*a*b^9*d^2 - 16*B^2*a^9*b*d^2))/(b^3*d^4) + (B*a^7*((32*(12*B*a^2*b^9*d^4 + 24*B*a^4*b^7*d^4 + 12*B*a^6*b^5*d^4))/(b^3*d^5) + (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2))))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2)))*2i)/(- a^7*b^9*d^2 - 2*a^9*b^7*d^2 - a^11*b^5*d^2)^(1/2) - (A*a^5*atan(((A*a^5*((A*a^5*((32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5) + (A*a^5*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4) - (A*a^5*((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) + (32*A*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) + (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*1i)/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) - (A*a^5*((A*a^5*((32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5) - (A*a^5*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4) + (A*a^5*((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) - (32*A*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) - (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4))*1i)/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))/((64*(A^5*a^5 - A^5*a^3*b^2))/(b*d^5) + (A*a^5*((A*a^5*((32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5) + (A*a^5*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4) - (A*a^5*((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) + (32*A*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) + (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) + (A*a^5*((A*a^5*((32*(A^3*a^2*b^5*d^2 - 15*A^3*a^4*b^3*d^2 + 12*A^3*a^6*b*d^2))/(b*d^5) - (A*a^5*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^5*d^2 + 2*A^2*a^5*b^3*d^2 - 14*A^2*a*b^7*d^2 + 16*A^2*a^7*b*d^2))/(b*d^4) + (A*a^5*((32*(4*A*a*b^8*d^4 + 8*A*a^3*b^6*d^4 + 4*A*a^5*b^4*d^4))/(b*d^5) - (32*A*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) - (32*tan(c + d*x)^(1/2)*(2*A^4*a^6 - A^4*b^6))/(b*d^4)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))*2i)/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) + (2*A*tan(c + d*x)^(1/2))/(b*d) + (2*B*tan(c + d*x)^(3/2))/(3*b*d) - (2*B*a*tan(c + d*x)^(1/2))/(b^2*d)","B"
399,1,15701,297,11.820740,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b\,d}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^5-B^5\,a^3\,b^2\right)}{b\,d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^5-B^5\,a^3\,b^2\right)}{b\,d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,A^5\,a^2\,b^2}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,A^5\,a^2\,b^2}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,a^5\,\mathrm{atan}\left(\frac{\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}}{\frac{64\,\left(B^5\,a^5-B^5\,a^3\,b^2\right)}{b\,d^5}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^6-B^4\,b^6\right)}{b\,d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b\,d^2-15\,B^3\,a^4\,b^3\,d^2+B^3\,a^2\,b^5\,d^2\right)}{b\,d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b\,d^2+2\,B^2\,a^5\,b^3\,d^2+4\,B^2\,a^3\,b^5\,d^2-14\,B^2\,a\,b^7\,d^2\right)}{b\,d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}\right)}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^9\,b^3\,d^2-2\,a^7\,b^5\,d^2-a^5\,b^7\,d^2}}+\frac{A\,a^3\,\mathrm{atan}\left(\frac{\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}-\frac{A\,a^3\,\left(\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}+\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}+\frac{A\,a^3\,\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}+\frac{A\,a^3\,\left(\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}-\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}-\frac{A\,a^3\,\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}{\frac{64\,A^5\,a^2\,b^2}{d^5}-\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}-\frac{A\,a^3\,\left(\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}+\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}+\frac{A\,a^3\,\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^4\,a^4\,b+A^4\,b^5\right)}{d^4}+\frac{A\,a^3\,\left(\frac{32\,\left(4\,A^3\,a^5\,b\,d^2-15\,A^3\,a^3\,b^3\,d^2+A^3\,a\,b^5\,d^2\right)}{d^5}-\frac{A\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,A^2\,a^5\,b^2\,d^2-4\,A^2\,a^3\,b^4\,d^2+14\,A^2\,a\,b^6\,d^2\right)}{d^4}-\frac{A\,a^3\,\left(\frac{32\,\left(4\,A\,a^6\,b^2\,d^4+8\,A\,a^4\,b^4\,d^4+4\,A\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,A\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}","Not used",1,"atan(((((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^5 - B^5*a^3*b^2))/(b*d^5)))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^5 - B^5*a^3*b^2))/(b*d^5)))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*A^5*a^2*b^2)/d^5))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*A^5*a^2*b^2)/d^5))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - (B*a^5*atan(((B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4) + (B*a^5*((32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5) + (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4) - (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) + (32*B*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))*1i)/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) + (B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4) - (B*a^5*((32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5) - (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4) + (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) - (32*B*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))*1i)/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))/((64*(B^5*a^5 - B^5*a^3*b^2))/(b*d^5) + (B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4) + (B*a^5*((32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5) + (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4) - (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) + (32*B*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) - (B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^6 - B^4*b^6))/(b*d^4) - (B*a^5*((32*(B^3*a^2*b^5*d^2 - 15*B^3*a^4*b^3*d^2 + 12*B^3*a^6*b*d^2))/(b*d^5) - (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^5*d^2 + 2*B^2*a^5*b^3*d^2 - 14*B^2*a*b^7*d^2 + 16*B^2*a^7*b*d^2))/(b*d^4) + (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/(b*d^5) - (32*B*a^5*tan(c + d*x)^(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*(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2))))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2)))*2i)/(- a^5*b^7*d^2 - 2*a^7*b^5*d^2 - a^9*b^3*d^2)^(1/2) + (A*a^3*atan(((A*a^3*((32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4 - (A*a^3*((32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5 + (A*a^3*((32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4 + (A*a^3*((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 - (32*A*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (A*a^3*((32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4 + (A*a^3*((32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5 - (A*a^3*((32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4 - (A*a^3*((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 + (32*A*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))/((64*A^5*a^2*b^2)/d^5 - (A*a^3*((32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4 - (A*a^3*((32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5 + (A*a^3*((32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4 + (A*a^3*((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 - (32*A*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (A*a^3*((32*tan(c + d*x)^(1/2)*(A^4*b^5 + 2*A^4*a^4*b))/d^4 + (A*a^3*((32*(A^3*a*b^5*d^2 - 15*A^3*a^3*b^3*d^2 + 4*A^3*a^5*b*d^2))/d^5 - (A*a^3*((32*tan(c + d*x)^(1/2)*(14*A^2*a^5*b^2*d^2 - 4*A^2*a^3*b^4*d^2 + 14*A^2*a*b^6*d^2))/d^4 - (A*a^3*((32*(4*A*a^2*b^6*d^4 + 8*A*a^4*b^4*d^4 + 4*A*a^6*b^2*d^4))/d^5 + (32*A*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))*2i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (2*B*tan(c + d*x)^(1/2))/(b*d)","B"
400,1,15090,278,11.115676,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^2\,b^2}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^2\,b^2}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,A^5\,a\,b^3}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,A^5\,a\,b^3}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\frac{B\,a^3\,\mathrm{atan}\left(\frac{\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}-\frac{B\,a^3\,\left(\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}+\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}+\frac{B\,a^3\,\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}+\frac{B\,a^3\,\left(\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}-\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}-\frac{B\,a^3\,\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}{\frac{64\,B^5\,a^2\,b^2}{d^5}-\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}-\frac{B\,a^3\,\left(\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}+\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}+\frac{B\,a^3\,\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}-\frac{32\,B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b+B^4\,b^5\right)}{d^4}+\frac{B\,a^3\,\left(\frac{32\,\left(4\,B^3\,a^5\,b\,d^2-15\,B^3\,a^3\,b^3\,d^2+B^3\,a\,b^5\,d^2\right)}{d^5}-\frac{B\,a^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^2\,d^2-4\,B^2\,a^3\,b^4\,d^2+14\,B^2\,a\,b^6\,d^2\right)}{d^4}-\frac{B\,a^3\,\left(\frac{32\,\left(4\,B\,a^6\,b^2\,d^4+8\,B\,a^4\,b^4\,d^4+4\,B\,a^2\,b^6\,d^4\right)}{d^5}+\frac{32\,B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}-\frac{A\,a\,b\,\mathrm{atan}\left(\frac{\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}-\frac{A\,a\,b\,\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}+\frac{A\,a\,b\,\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,A\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}+\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}+\frac{A\,a\,b\,\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}-\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}-\frac{A\,a\,b\,\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,A\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}}{\frac{64\,A^5\,a\,b^3}{d^5}-\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}-\frac{A\,a\,b\,\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}+\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}+\frac{A\,a\,b\,\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,A\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}+\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,b^5-2\,A^4\,a^2\,b^3\right)}{d^4}+\frac{A\,a\,b\,\left(\frac{32\,\left(A^3\,a^4\,b^2\,d^2+13\,A^3\,a^2\,b^4\,d^2\right)}{d^5}-\frac{A\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+20\,A^2\,a^3\,b^4\,d^2-14\,A^2\,a\,b^6\,d^2\right)}{d^4}-\frac{A\,a\,b\,\left(\frac{32\,\left(12\,A\,a^5\,b^3\,d^4+24\,A\,a^3\,b^5\,d^4+12\,A\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,A\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}","Not used",1,"atan(((((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*A^5*a*b^3)/d^5))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^2*b^2)/d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^2*b^2)/d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*A^5*a*b^3)/d^5))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + (B*a^3*atan(((B*a^3*((32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4 - (B*a^3*((32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5 + (B*a^3*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4 + (B*a^3*((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 - (32*B*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (B*a^3*((32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4 + (B*a^3*((32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5 - (B*a^3*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4 - (B*a^3*((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 + (32*B*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))/((64*B^5*a^2*b^2)/d^5 - (B*a^3*((32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4 - (B*a^3*((32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5 + (B*a^3*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4 + (B*a^3*((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 - (32*B*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (B*a^3*((32*tan(c + d*x)^(1/2)*(B^4*b^5 + 2*B^4*a^4*b))/d^4 + (B*a^3*((32*(B^3*a*b^5*d^2 - 15*B^3*a^3*b^3*d^2 + 4*B^3*a^5*b*d^2))/d^5 - (B*a^3*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^2*d^2 - 4*B^2*a^3*b^4*d^2 + 14*B^2*a*b^6*d^2))/d^4 - (B*a^3*((32*(4*B*a^2*b^6*d^4 + 8*B*a^4*b^4*d^4 + 4*B*a^6*b^2*d^4))/d^5 + (32*B*a^3*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))*2i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) - (A*a*b*atan(((A*a*b*((32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4 - (A*a*b*((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (A*a*b*((32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4 + (A*a*b*((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 - (32*A*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))*1i)/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2) + (A*a*b*((32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4 + (A*a*b*((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 - (A*a*b*((32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4 - (A*a*b*((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 + (32*A*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))*1i)/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))/((64*A^5*a*b^3)/d^5 - (A*a*b*((32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4 - (A*a*b*((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 + (A*a*b*((32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4 + (A*a*b*((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 - (32*A*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2) + (A*a*b*((32*tan(c + d*x)^(1/2)*(A^4*b^5 - 2*A^4*a^2*b^3))/d^4 + (A*a*b*((32*(13*A^3*a^2*b^4*d^2 + A^3*a^4*b^2*d^2))/d^5 - (A*a*b*((32*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 14*A^2*a*b^6*d^2))/d^4 - (A*a*b*((32*(12*A*a*b^7*d^4 + 24*A*a^3*b^5*d^4 + 12*A*a^5*b^3*d^4))/d^5 + (32*A*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))*2i)/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)","B"
401,1,14816,278,11.843834,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))),x)","\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a\,b^3}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a\,b^3}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{A\,b^3\,\mathrm{atan}\left(\frac{\frac{A\,b^3\,\left(\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{A\,b^3\,\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}+\frac{A\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}-\frac{A\,b^3\,\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}-\frac{32\,A\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}+\frac{A\,b^3\,\left(\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{A\,b^3\,\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\frac{A\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}+\frac{A\,b^3\,\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}+\frac{32\,A\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}{\frac{A\,b^3\,\left(\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{A\,b^3\,\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}+\frac{A\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}-\frac{A\,b^3\,\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}-\frac{32\,A\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}-\frac{A\,b^3\,\left(\frac{96\,A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{A\,b^3\,\left(\frac{32\,\left(A^3\,a^3\,b^3+5\,A^3\,a\,b^5\right)}{d^3}-\frac{A\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A^2\,a^5\,b^2\,d^2+4\,A^2\,a^3\,b^4\,d^2-30\,A^2\,a\,b^6\,d^2\right)}{d^4}+\frac{A\,b^3\,\left(\frac{32\,\left(-4\,A\,a^6\,b^2\,d^2+8\,A\,a^4\,b^4\,d^2+28\,A\,a^2\,b^6\,d^2+16\,A\,b^8\,d^2\right)}{d^3}+\frac{32\,A\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}-\frac{B\,a\,b\,\mathrm{atan}\left(\frac{\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}-\frac{B\,a\,b\,\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}+\frac{B\,a\,b\,\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}+\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}+\frac{B\,a\,b\,\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}-\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}-\frac{B\,a\,b\,\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}}{\frac{64\,B^5\,a\,b^3}{d^5}-\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}-\frac{B\,a\,b\,\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}+\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}+\frac{B\,a\,b\,\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}+\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^5-2\,B^4\,a^2\,b^3\right)}{d^4}+\frac{B\,a\,b\,\left(\frac{32\,\left(B^3\,a^4\,b^2\,d^2+13\,B^3\,a^2\,b^4\,d^2\right)}{d^5}-\frac{B\,a\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+20\,B^2\,a^3\,b^4\,d^2-14\,B^2\,a\,b^6\,d^2\right)}{d^4}-\frac{B\,a\,b\,\left(\frac{32\,\left(12\,B\,a^5\,b^3\,d^4+24\,B\,a^3\,b^5\,d^4+12\,B\,a\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}\right)}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b\,d^2-2\,a^3\,b^3\,d^2-a\,b^5\,d^2}}","Not used",1,"atan(((((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a*b^3)/d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a*b^3)/d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*A^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - (A*b^3*atan(((A*b^3*((96*A^4*b^5*tan(c + d*x)^(1/2))/d^4 + (A*b^3*((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 + (A*b^3*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4 - (A*b^3*((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 - (32*A*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) + (A*b^3*((96*A^4*b^5*tan(c + d*x)^(1/2))/d^4 - (A*b^3*((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (A*b^3*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4 + (A*b^3*((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 + (32*A*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))/((A*b^3*((96*A^4*b^5*tan(c + d*x)^(1/2))/d^4 + (A*b^3*((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 + (A*b^3*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4 - (A*b^3*((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 - (32*A*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) - (A*b^3*((96*A^4*b^5*tan(c + d*x)^(1/2))/d^4 - (A*b^3*((32*(5*A^3*a*b^5 + A^3*a^3*b^3))/d^3 - (A*b^3*((32*tan(c + d*x)^(1/2)*(4*A^2*a^3*b^4*d^2 + 2*A^2*a^5*b^2*d^2 - 30*A^2*a*b^6*d^2))/d^4 + (A*b^3*((32*(16*A*b^8*d^2 + 28*A*a^2*b^6*d^2 + 8*A*a^4*b^4*d^2 - 4*A*a^6*b^2*d^2))/d^3 + (32*A*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))*2i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) - (B*a*b*atan(((B*a*b*((32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4 - (B*a*b*((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (B*a*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4 + (B*a*b*((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 - (32*B*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))*1i)/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2) + (B*a*b*((32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4 + (B*a*b*((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 - (B*a*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4 - (B*a*b*((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 + (32*B*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))*1i)/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))/((64*B^5*a*b^3)/d^5 - (B*a*b*((32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4 - (B*a*b*((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 + (B*a*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4 + (B*a*b*((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 - (32*B*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2) + (B*a*b*((32*tan(c + d*x)^(1/2)*(B^4*b^5 - 2*B^4*a^2*b^3))/d^4 + (B*a*b*((32*(13*B^3*a^2*b^4*d^2 + B^3*a^4*b^2*d^2))/d^5 - (B*a*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 14*B^2*a*b^6*d^2))/d^4 - (B*a*b*((32*(12*B*a*b^7*d^4 + 24*B*a^3*b^5*d^4 + 12*B*a^5*b^3*d^4))/d^5 + (32*B*a*b*tan(c + d*x)^(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*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2))))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)))*2i)/(- a*b^5*d^2 - a^5*b*d^2 - 2*a^3*b^3*d^2)^(1/2)","B"
402,1,15318,297,11.599546,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))),x)","\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8-640\,A\,a^{10}\,b^7\,d^8+256\,A\,a^{12}\,b^5\,d^8+384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,A^3\,a^7\,b^8\,d^6-32\,A^3\,a^{11}\,b^4\,d^6-32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8+640\,A\,a^{10}\,b^7\,d^8-256\,A\,a^{12}\,b^5\,d^8-384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,A^3\,a^7\,b^8\,d^6+32\,A^3\,a^{11}\,b^4\,d^6+32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8-640\,A\,a^{10}\,b^7\,d^8+256\,A\,a^{12}\,b^5\,d^8+384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,A^3\,a^7\,b^8\,d^6-32\,A^3\,a^{11}\,b^4\,d^6-32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8+640\,A\,a^{10}\,b^7\,d^8-256\,A\,a^{12}\,b^5\,d^8-384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,A^3\,a^7\,b^8\,d^6+32\,A^3\,a^{11}\,b^4\,d^6+32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8-640\,A\,a^{10}\,b^7\,d^8+256\,A\,a^{12}\,b^5\,d^8+384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,A^3\,a^7\,b^8\,d^6-32\,A^3\,a^{11}\,b^4\,d^6-32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8+640\,A\,a^{10}\,b^7\,d^8-256\,A\,a^{12}\,b^5\,d^8-384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,A^3\,a^7\,b^8\,d^6+32\,A^3\,a^{11}\,b^4\,d^6+32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8-640\,A\,a^{10}\,b^7\,d^8+256\,A\,a^{12}\,b^5\,d^8+384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,A^3\,a^7\,b^8\,d^6-32\,A^3\,a^{11}\,b^4\,d^6-32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^8\,b^9\,d^8+640\,A\,a^{10}\,b^7\,d^8-256\,A\,a^{12}\,b^5\,d^8-384\,A\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,A^3\,a^7\,b^8\,d^6+32\,A^3\,a^{11}\,b^4\,d^6+32\,A^3\,a^{13}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{A\,b^5\,\mathrm{atan}\left(\frac{\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\frac{A\,b^5\,\left(32\,A^3\,a^{11}\,b^4\,d^6-128\,A^3\,a^7\,b^8\,d^6+32\,A^3\,a^{13}\,b^2\,d^6+\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\frac{A\,b^5\,\left(512\,A\,a^8\,b^9\,d^8+640\,A\,a^{10}\,b^7\,d^8-256\,A\,a^{12}\,b^5\,d^8-384\,A\,a^{14}\,b^3\,d^8+\frac{A\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}+\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\frac{A\,b^5\,\left(128\,A^3\,a^7\,b^8\,d^6-32\,A^3\,a^{11}\,b^4\,d^6-32\,A^3\,a^{13}\,b^2\,d^6+\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\frac{A\,b^5\,\left(256\,A\,a^{12}\,b^5\,d^8-640\,A\,a^{10}\,b^7\,d^8-512\,A\,a^8\,b^9\,d^8+384\,A\,a^{14}\,b^3\,d^8+\frac{A\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}}{\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\frac{A\,b^5\,\left(32\,A^3\,a^{11}\,b^4\,d^6-128\,A^3\,a^7\,b^8\,d^6+32\,A^3\,a^{13}\,b^2\,d^6+\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\frac{A\,b^5\,\left(512\,A\,a^8\,b^9\,d^8+640\,A\,a^{10}\,b^7\,d^8-256\,A\,a^{12}\,b^5\,d^8-384\,A\,a^{14}\,b^3\,d^8+\frac{A\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}-\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^4\,a^7\,b^7\,d^5-32\,A^4\,a^9\,b^5\,d^5\right)+\frac{A\,b^5\,\left(128\,A^3\,a^7\,b^8\,d^6-32\,A^3\,a^{11}\,b^4\,d^6-32\,A^3\,a^{13}\,b^2\,d^6+\frac{A\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{14}\,b^2\,d^7+128\,A^2\,a^{12}\,b^4\,d^7-448\,A^2\,a^{10}\,b^6\,d^7+512\,A^2\,a^8\,b^8\,d^7\right)-\frac{A\,b^5\,\left(256\,A\,a^{12}\,b^5\,d^8-640\,A\,a^{10}\,b^7\,d^8-512\,A\,a^8\,b^9\,d^8+384\,A\,a^{14}\,b^3\,d^8+\frac{A\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}-\frac{2\,A}{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{B\,b^3\,\mathrm{atan}\left(\frac{\frac{B\,b^3\,\left(\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{B\,b^3\,\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}+\frac{B\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}-\frac{B\,b^3\,\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}-\frac{32\,B\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}+\frac{B\,b^3\,\left(\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{B\,b^3\,\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\frac{B\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}+\frac{B\,b^3\,\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}+\frac{32\,B\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}{\frac{B\,b^3\,\left(\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{B\,b^3\,\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}+\frac{B\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}-\frac{B\,b^3\,\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}-\frac{32\,B\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}-\frac{B\,b^3\,\left(\frac{96\,B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{B\,b^3\,\left(\frac{32\,\left(B^3\,a^3\,b^3+5\,B^3\,a\,b^5\right)}{d^3}-\frac{B\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^2\,d^2+4\,B^2\,a^3\,b^4\,d^2-30\,B^2\,a\,b^6\,d^2\right)}{d^4}+\frac{B\,b^3\,\left(\frac{32\,\left(-4\,B\,a^6\,b^2\,d^2+8\,B\,a^4\,b^4\,d^2+28\,B\,a^2\,b^6\,d^2+16\,B\,b^8\,d^2\right)}{d^3}+\frac{32\,B\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}","Not used",1,"atan(((tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 - 640*A*a^10*b^7*d^8 + 256*A*a^12*b^5*d^8 + 384*A*a^14*b^3*d^8))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*A^3*a^7*b^8*d^6 - 32*A^3*a^11*b^4*d^6 - 32*A^3*a^13*b^2*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 + 640*A*a^10*b^7*d^8 - 256*A*a^12*b^5*d^8 - 384*A*a^14*b^3*d^8))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*A^3*a^7*b^8*d^6 + 32*A^3*a^11*b^4*d^6 + 32*A^3*a^13*b^2*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 - 640*A*a^10*b^7*d^8 + 256*A*a^12*b^5*d^8 + 384*A*a^14*b^3*d^8))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*A^3*a^7*b^8*d^6 - 32*A^3*a^11*b^4*d^6 - 32*A^3*a^13*b^2*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 + 640*A*a^10*b^7*d^8 - 256*A*a^12*b^5*d^8 - 384*A*a^14*b^3*d^8))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*A^3*a^7*b^8*d^6 + 32*A^3*a^11*b^4*d^6 + 32*A^3*a^13*b^2*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 - 640*A*a^10*b^7*d^8 + 256*A*a^12*b^5*d^8 + 384*A*a^14*b^3*d^8))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*A^3*a^7*b^8*d^6 - 32*A^3*a^11*b^4*d^6 - 32*A^3*a^13*b^2*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 + 640*A*a^10*b^7*d^8 - 256*A*a^12*b^5*d^8 - 384*A*a^14*b^3*d^8))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*A^3*a^7*b^8*d^6 + 32*A^3*a^11*b^4*d^6 + 32*A^3*a^13*b^2*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 - 640*A*a^10*b^7*d^8 + 256*A*a^12*b^5*d^8 + 384*A*a^14*b^3*d^8))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*A^3*a^7*b^8*d^6 - 32*A^3*a^11*b^4*d^6 - 32*A^3*a^13*b^2*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^8*b^9*d^8 + 640*A*a^10*b^7*d^8 - 256*A*a^12*b^5*d^8 - 384*A*a^14*b^3*d^8))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*A^3*a^7*b^8*d^6 + 32*A^3*a^11*b^4*d^6 + 32*A^3*a^13*b^2*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - (A*b^5*atan(((A*b^5*(tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (A*b^5*(32*A^3*a^11*b^4*d^6 - 128*A^3*a^7*b^8*d^6 + 32*A^3*a^13*b^2*d^6 + (A*b^5*(tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (A*b^5*(512*A*a^8*b^9*d^8 + 640*A*a^10*b^7*d^8 - 256*A*a^12*b^5*d^8 - 384*A*a^14*b^3*d^8 + (A*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2))*1i)/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2) + (A*b^5*(tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (A*b^5*(128*A^3*a^7*b^8*d^6 - 32*A^3*a^11*b^4*d^6 - 32*A^3*a^13*b^2*d^6 + (A*b^5*(tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (A*b^5*(256*A*a^12*b^5*d^8 - 640*A*a^10*b^7*d^8 - 512*A*a^8*b^9*d^8 + 384*A*a^14*b^3*d^8 + (A*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2))*1i)/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2))/((A*b^5*(tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (A*b^5*(32*A^3*a^11*b^4*d^6 - 128*A^3*a^7*b^8*d^6 + 32*A^3*a^13*b^2*d^6 + (A*b^5*(tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (A*b^5*(512*A*a^8*b^9*d^8 + 640*A*a^10*b^7*d^8 - 256*A*a^12*b^5*d^8 - 384*A*a^14*b^3*d^8 + (A*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2) - (A*b^5*(tan(c + d*x)^(1/2)*(64*A^4*a^7*b^7*d^5 - 32*A^4*a^9*b^5*d^5) + (A*b^5*(128*A^3*a^7*b^8*d^6 - 32*A^3*a^11*b^4*d^6 - 32*A^3*a^13*b^2*d^6 + (A*b^5*(tan(c + d*x)^(1/2)*(512*A^2*a^8*b^8*d^7 - 448*A^2*a^10*b^6*d^7 + 128*A^2*a^12*b^4*d^7 + 64*A^2*a^14*b^2*d^7) - (A*b^5*(256*A*a^12*b^5*d^8 - 640*A*a^10*b^7*d^8 - 512*A*a^8*b^9*d^8 + 384*A*a^14*b^3*d^8 + (A*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))*2i)/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2) - (2*A)/(a*d*tan(c + d*x)^(1/2)) - (B*b^3*atan(((B*b^3*((96*B^4*b^5*tan(c + d*x)^(1/2))/d^4 + (B*b^3*((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 + (B*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4 - (B*b^3*((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 - (32*B*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) + (B*b^3*((96*B^4*b^5*tan(c + d*x)^(1/2))/d^4 - (B*b^3*((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (B*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4 + (B*b^3*((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 + (32*B*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))/((B*b^3*((96*B^4*b^5*tan(c + d*x)^(1/2))/d^4 + (B*b^3*((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 + (B*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4 - (B*b^3*((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 - (32*B*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) - (B*b^3*((96*B^4*b^5*tan(c + d*x)^(1/2))/d^4 - (B*b^3*((32*(5*B^3*a*b^5 + B^3*a^3*b^3))/d^3 - (B*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^4*d^2 + 2*B^2*a^5*b^2*d^2 - 30*B^2*a*b^6*d^2))/d^4 + (B*b^3*((32*(16*B*b^8*d^2 + 28*B*a^2*b^6*d^2 + 8*B*a^4*b^4*d^2 - 4*B*a^6*b^2*d^2))/d^3 + (32*B*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))*2i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)","B"
403,1,16111,325,12.967473,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))),x)","-\frac{\frac{2\,A}{3\,a}-\frac{2\,A\,b\,\mathrm{tan}\left(c+d\,x\right)}{a^2}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{2\,B}{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8-512\,A\,a^{18}\,b^8\,d^8+384\,A\,a^{20}\,b^6\,d^8+256\,A\,a^{22}\,b^4\,d^8-128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,A^3\,a^{15}\,b^9\,d^6-32\,A^3\,a^{19}\,b^5\,d^6-32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,A^3\,a^{15}\,b^9\,d^6+32\,A^3\,a^{19}\,b^5\,d^6+32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,A^3\,a^{15}\,b^9\,d^6+32\,A^3\,a^{19}\,b^5\,d^6+32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8-512\,A\,a^{18}\,b^8\,d^8+384\,A\,a^{20}\,b^6\,d^8+256\,A\,a^{22}\,b^4\,d^8-128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,A^3\,a^{15}\,b^9\,d^6-32\,A^3\,a^{19}\,b^5\,d^6-32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+64\,A^5\,a^{14}\,b^8\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8-512\,A\,a^{18}\,b^8\,d^8+384\,A\,a^{20}\,b^6\,d^8+256\,A\,a^{22}\,b^4\,d^8-128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,A^3\,a^{15}\,b^9\,d^6-32\,A^3\,a^{19}\,b^5\,d^6-32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,A^3\,a^{15}\,b^9\,d^6+32\,A^3\,a^{19}\,b^5\,d^6+32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,A^3\,a^{15}\,b^9\,d^6+32\,A^3\,a^{19}\,b^5\,d^6+32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)+\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,a^{16}\,b^{10}\,d^8-512\,A\,a^{18}\,b^8\,d^8+384\,A\,a^{20}\,b^6\,d^8+256\,A\,a^{22}\,b^4\,d^8-128\,A\,a^{24}\,b^2\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,A^3\,a^{15}\,b^9\,d^6-32\,A^3\,a^{19}\,b^5\,d^6-32\,A^3\,a^{21}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+64\,A^5\,a^{14}\,b^8\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,A^4\,a^2\,b^2\,d^4-A^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,A^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8-640\,B\,a^{10}\,b^7\,d^8+256\,B\,a^{12}\,b^5\,d^8+384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^8\,d^6-32\,B^3\,a^{11}\,b^4\,d^6-32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8+640\,B\,a^{10}\,b^7\,d^8-256\,B\,a^{12}\,b^5\,d^8-384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^8\,d^6+32\,B^3\,a^{11}\,b^4\,d^6+32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8-640\,B\,a^{10}\,b^7\,d^8+256\,B\,a^{12}\,b^5\,d^8+384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^8\,d^6-32\,B^3\,a^{11}\,b^4\,d^6-32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8+640\,B\,a^{10}\,b^7\,d^8-256\,B\,a^{12}\,b^5\,d^8-384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^8\,d^6+32\,B^3\,a^{11}\,b^4\,d^6+32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8-640\,B\,a^{10}\,b^7\,d^8+256\,B\,a^{12}\,b^5\,d^8+384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^8\,d^6-32\,B^3\,a^{11}\,b^4\,d^6-32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8+640\,B\,a^{10}\,b^7\,d^8-256\,B\,a^{12}\,b^5\,d^8-384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^8\,d^6+32\,B^3\,a^{11}\,b^4\,d^6+32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8-640\,B\,a^{10}\,b^7\,d^8+256\,B\,a^{12}\,b^5\,d^8+384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^8\,d^6-32\,B^3\,a^{11}\,b^4\,d^6-32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^9\,d^8+640\,B\,a^{10}\,b^7\,d^8-256\,B\,a^{12}\,b^5\,d^8-384\,B\,a^{14}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^8\,d^6+32\,B^3\,a^{11}\,b^4\,d^6+32\,B^3\,a^{13}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^2\,d^4-B^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,b^5\,\mathrm{atan}\left(\frac{\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)+\frac{B\,b^5\,\left(32\,B^3\,a^{11}\,b^4\,d^6-128\,B^3\,a^7\,b^8\,d^6+32\,B^3\,a^{13}\,b^2\,d^6+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\frac{B\,b^5\,\left(512\,B\,a^8\,b^9\,d^8+640\,B\,a^{10}\,b^7\,d^8-256\,B\,a^{12}\,b^5\,d^8-384\,B\,a^{14}\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)+\frac{B\,b^5\,\left(128\,B^3\,a^7\,b^8\,d^6-32\,B^3\,a^{11}\,b^4\,d^6-32\,B^3\,a^{13}\,b^2\,d^6+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\frac{B\,b^5\,\left(256\,B\,a^{12}\,b^5\,d^8-640\,B\,a^{10}\,b^7\,d^8-512\,B\,a^8\,b^9\,d^8+384\,B\,a^{14}\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}}{\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)+\frac{B\,b^5\,\left(32\,B^3\,a^{11}\,b^4\,d^6-128\,B^3\,a^7\,b^8\,d^6+32\,B^3\,a^{13}\,b^2\,d^6+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\frac{B\,b^5\,\left(512\,B\,a^8\,b^9\,d^8+640\,B\,a^{10}\,b^7\,d^8-256\,B\,a^{12}\,b^5\,d^8-384\,B\,a^{14}\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}-\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^7\,d^5-32\,B^4\,a^9\,b^5\,d^5\right)+\frac{B\,b^5\,\left(128\,B^3\,a^7\,b^8\,d^6-32\,B^3\,a^{11}\,b^4\,d^6-32\,B^3\,a^{13}\,b^2\,d^6+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^2\,d^7+128\,B^2\,a^{12}\,b^4\,d^7-448\,B^2\,a^{10}\,b^6\,d^7+512\,B^2\,a^8\,b^8\,d^7\right)-\frac{B\,b^5\,\left(256\,B\,a^{12}\,b^5\,d^8-640\,B\,a^{10}\,b^7\,d^8-512\,B\,a^8\,b^9\,d^8+384\,B\,a^{14}\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}\right)}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b^5\,d^2-2\,a^5\,b^7\,d^2-a^3\,b^9\,d^2}}+\frac{A\,b^7\,\mathrm{atan}\left(\frac{\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)-\frac{A\,b^7\,\left(32\,A^3\,a^{19}\,b^5\,d^6-384\,A^3\,a^{15}\,b^9\,d^6+32\,A^3\,a^{21}\,b^3\,d^6+\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)+\frac{A\,b^7\,\left(512\,A\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8-\frac{A\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}+\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)-\frac{A\,b^7\,\left(384\,A^3\,a^{15}\,b^9\,d^6-32\,A^3\,a^{19}\,b^5\,d^6-32\,A^3\,a^{21}\,b^3\,d^6+\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)-\frac{A\,b^7\,\left(512\,A\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8+\frac{A\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}}{64\,A^5\,a^{14}\,b^8\,d^4-\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)-\frac{A\,b^7\,\left(32\,A^3\,a^{19}\,b^5\,d^6-384\,A^3\,a^{15}\,b^9\,d^6+32\,A^3\,a^{21}\,b^3\,d^6+\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)+\frac{A\,b^7\,\left(512\,A\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8-\frac{A\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}+\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{18}\,b^5\,d^5+64\,A^4\,a^{14}\,b^9\,d^5\right)-\frac{A\,b^7\,\left(384\,A^3\,a^{15}\,b^9\,d^6-32\,A^3\,a^{19}\,b^5\,d^6-32\,A^3\,a^{21}\,b^3\,d^6+\frac{A\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{23}\,b^2\,d^7-128\,A^2\,a^{21}\,b^4\,d^7+448\,A^2\,a^{19}\,b^6\,d^7+512\,A^2\,a^{15}\,b^{10}\,d^7\right)-\frac{A\,b^7\,\left(512\,A\,a^{16}\,b^{10}\,d^8+512\,A\,a^{18}\,b^8\,d^8-384\,A\,a^{20}\,b^6\,d^8-256\,A\,a^{22}\,b^4\,d^8+128\,A\,a^{24}\,b^2\,d^8+\frac{A\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}\right)}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^9\,b^7\,d^2-2\,a^7\,b^9\,d^2-a^5\,b^{11}\,d^2}}","Not used",1,"atan(((tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 - 512*A*a^18*b^8*d^8 + 384*A*a^20*b^6*d^8 + 256*A*a^22*b^4*d^8 - 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*A^3*a^15*b^9*d^6 - 32*A^3*a^19*b^5*d^6 - 32*A^3*a^21*b^3*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*A^3*a^15*b^9*d^6 + 32*A^3*a^19*b^5*d^6 + 32*A^3*a^21*b^3*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*A^3*a^15*b^9*d^6 + 32*A^3*a^19*b^5*d^6 + 32*A^3*a^21*b^3*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 - 512*A*a^18*b^8*d^8 + 384*A*a^20*b^6*d^8 + 256*A*a^22*b^4*d^8 - 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*A^3*a^15*b^9*d^6 - 32*A^3*a^19*b^5*d^6 - 32*A^3*a^21*b^3*d^6))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 64*A^5*a^14*b^8*d^4))*(-((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 - 512*A*a^18*b^8*d^8 + 384*A*a^20*b^6*d^8 + 256*A*a^22*b^4*d^8 - 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*A^3*a^15*b^9*d^6 - 32*A^3*a^19*b^5*d^6 - 32*A^3*a^21*b^3*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*A^3*a^15*b^9*d^6 + 32*A^3*a^19*b^5*d^6 + 32*A^3*a^21*b^3*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*A^3*a^15*b^9*d^6 + 32*A^3*a^19*b^5*d^6 + 32*A^3*a^21*b^3*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) + (((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*a^16*b^10*d^8 - 512*A*a^18*b^8*d^8 + 384*A*a^20*b^6*d^8 + 256*A*a^22*b^4*d^8 - 128*A*a^24*b^2*d^8) - tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*A^3*a^15*b^9*d^6 - 32*A^3*a^19*b^5*d^6 - 32*A^3*a^21*b^3*d^6))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 64*A^5*a^14*b^8*d^4))*(((64*A^4*a^2*b^2*d^4 - A^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*A^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan((((((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 - 640*B*a^10*b^7*d^8 + 256*B*a^12*b^5*d^8 + 384*B*a^14*b^3*d^8))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^8*d^6 - 32*B^3*a^11*b^4*d^6 - 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + ((((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 + 640*B*a^10*b^7*d^8 - 256*B*a^12*b^5*d^8 - 384*B*a^14*b^3*d^8))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^8*d^6 + 32*B^3*a^11*b^4*d^6 + 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/(((((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 - 640*B*a^10*b^7*d^8 + 256*B*a^12*b^5*d^8 + 384*B*a^14*b^3*d^8))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^8*d^6 - 32*B^3*a^11*b^4*d^6 - 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - ((((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 + 640*B*a^10*b^7*d^8 - 256*B*a^12*b^5*d^8 - 384*B*a^14*b^3*d^8))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^8*d^6 + 32*B^3*a^11*b^4*d^6 + 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan((((-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 - 640*B*a^10*b^7*d^8 + 256*B*a^12*b^5*d^8 + 384*B*a^14*b^3*d^8))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^8*d^6 - 32*B^3*a^11*b^4*d^6 - 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + ((-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 + 640*B*a^10*b^7*d^8 - 256*B*a^12*b^5*d^8 - 384*B*a^14*b^3*d^8))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^8*d^6 + 32*B^3*a^11*b^4*d^6 + 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/(((-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 - 640*B*a^10*b^7*d^8 + 256*B*a^12*b^5*d^8 + 384*B*a^14*b^3*d^8))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^8*d^6 - 32*B^3*a^11*b^4*d^6 - 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - ((-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^9*d^8 + 640*B*a^10*b^7*d^8 - 256*B*a^12*b^5*d^8 - 384*B*a^14*b^3*d^8))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^8*d^6 + 32*B^3*a^11*b^4*d^6 + 32*B^3*a^13*b^2*d^6) + tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*B^4*a^2*b^2*d^4 - B^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - ((2*A)/(3*a) - (2*A*b*tan(c + d*x))/a^2)/(d*tan(c + d*x)^(3/2)) - (B*b^5*atan(((B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5) + (B*b^5*(32*B^3*a^11*b^4*d^6 - 128*B^3*a^7*b^8*d^6 + 32*B^3*a^13*b^2*d^6 + (B*b^5*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (B*b^5*(512*B*a^8*b^9*d^8 + 640*B*a^10*b^7*d^8 - 256*B*a^12*b^5*d^8 - 384*B*a^14*b^3*d^8 + (B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2))*1i)/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2) + (B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5) + (B*b^5*(128*B^3*a^7*b^8*d^6 - 32*B^3*a^11*b^4*d^6 - 32*B^3*a^13*b^2*d^6 + (B*b^5*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (B*b^5*(256*B*a^12*b^5*d^8 - 640*B*a^10*b^7*d^8 - 512*B*a^8*b^9*d^8 + 384*B*a^14*b^3*d^8 + (B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2))*1i)/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2))/((B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5) + (B*b^5*(32*B^3*a^11*b^4*d^6 - 128*B^3*a^7*b^8*d^6 + 32*B^3*a^13*b^2*d^6 + (B*b^5*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (B*b^5*(512*B*a^8*b^9*d^8 + 640*B*a^10*b^7*d^8 - 256*B*a^12*b^5*d^8 - 384*B*a^14*b^3*d^8 + (B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2) - (B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^7*d^5 - 32*B^4*a^9*b^5*d^5) + (B*b^5*(128*B^3*a^7*b^8*d^6 - 32*B^3*a^11*b^4*d^6 - 32*B^3*a^13*b^2*d^6 + (B*b^5*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^8*d^7 - 448*B^2*a^10*b^6*d^7 + 128*B^2*a^12*b^4*d^7 + 64*B^2*a^14*b^2*d^7) - (B*b^5*(256*B*a^12*b^5*d^8 - 640*B*a^10*b^7*d^8 - 512*B*a^8*b^9*d^8 + 384*B*a^14*b^3*d^8 + (B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2)))*2i)/(- a^3*b^9*d^2 - 2*a^5*b^7*d^2 - a^7*b^5*d^2)^(1/2) + (A*b^7*atan(((A*b^7*(tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) - (A*b^7*(32*A^3*a^19*b^5*d^6 - 384*A^3*a^15*b^9*d^6 + 32*A^3*a^21*b^3*d^6 + (A*b^7*(tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7) + (A*b^7*(512*A*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8 - (A*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2))*1i)/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2) + (A*b^7*(tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) - (A*b^7*(384*A^3*a^15*b^9*d^6 - 32*A^3*a^19*b^5*d^6 - 32*A^3*a^21*b^3*d^6 + (A*b^7*(tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7) - (A*b^7*(512*A*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8 + (A*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2))*1i)/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2))/(64*A^5*a^14*b^8*d^4 - (A*b^7*(tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) - (A*b^7*(32*A^3*a^19*b^5*d^6 - 384*A^3*a^15*b^9*d^6 + 32*A^3*a^21*b^3*d^6 + (A*b^7*(tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7) + (A*b^7*(512*A*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8 - (A*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2) + (A*b^7*(tan(c + d*x)^(1/2)*(64*A^4*a^14*b^9*d^5 + 32*A^4*a^18*b^5*d^5) - (A*b^7*(384*A^3*a^15*b^9*d^6 - 32*A^3*a^19*b^5*d^6 - 32*A^3*a^21*b^3*d^6 + (A*b^7*(tan(c + d*x)^(1/2)*(512*A^2*a^15*b^10*d^7 + 448*A^2*a^19*b^6*d^7 - 128*A^2*a^21*b^4*d^7 - 64*A^2*a^23*b^2*d^7) - (A*b^7*(512*A*a^16*b^10*d^8 + 512*A*a^18*b^8*d^8 - 384*A*a^20*b^6*d^8 - 256*A*a^22*b^4*d^8 + 128*A*a^24*b^2*d^8 + (A*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2)))*2i)/(- a^5*b^11*d^2 - 2*a^7*b^9*d^2 - a^9*b^7*d^2)^(1/2) - (2*B)/(a*d*tan(c + d*x)^(1/2))","B"
404,1,18313,436,36.193191,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,a\,b^2\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^2\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,a\,b^2\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^2\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,a\,b^2\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^2\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,a\,b^2\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^2\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,A\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,A^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,A\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,A^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\frac{8\,A^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,A\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,A^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{8\,A^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,A\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,A^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^2\,d}+\frac{B\,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)}-\frac{A\,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)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(16\,A^3\,a^{11}\,b\,d^2+148\,A^3\,a^9\,b^3\,d^2+320\,A^3\,a^7\,b^5\,d^2-120\,A^3\,a^5\,b^7\,d^2-304\,A^3\,a^3\,b^9\,d^2+4\,A^3\,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{\left(\frac{8\,\left(96\,A\,a^{12}\,b^4\,d^4+480\,A\,a^{10}\,b^6\,d^4+960\,A\,a^8\,b^8\,d^4+960\,A\,a^6\,b^{10}\,d^4+480\,A\,a^4\,b^{12}\,d^4+96\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{13}\,b\,d^2+100\,A^2\,a^{11}\,b^3\,d^2+380\,A^2\,a^9\,b^5\,d^2+424\,A^2\,a^7\,b^7\,d^2+128\,A^2\,a^5\,b^9\,d^2+52\,A^2\,a^3\,b^{11}\,d^2+60\,A^2\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{10}+9\,A^4\,a^8\,b^2+15\,A^4\,a^6\,b^4-27\,A^4\,a^4\,b^6-4\,A^4\,a^2\,b^8-2\,A^4\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{\left(\frac{\left(\frac{8\,\left(16\,A^3\,a^{11}\,b\,d^2+148\,A^3\,a^9\,b^3\,d^2+320\,A^3\,a^7\,b^5\,d^2-120\,A^3\,a^5\,b^7\,d^2-304\,A^3\,a^3\,b^9\,d^2+4\,A^3\,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{\left(\frac{8\,\left(96\,A\,a^{12}\,b^4\,d^4+480\,A\,a^{10}\,b^6\,d^4+960\,A\,a^8\,b^8\,d^4+960\,A\,a^6\,b^{10}\,d^4+480\,A\,a^4\,b^{12}\,d^4+96\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{13}\,b\,d^2+100\,A^2\,a^{11}\,b^3\,d^2+380\,A^2\,a^9\,b^5\,d^2+424\,A^2\,a^7\,b^7\,d^2+128\,A^2\,a^5\,b^9\,d^2+52\,A^2\,a^3\,b^{11}\,d^2+60\,A^2\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{10}+9\,A^4\,a^8\,b^2+15\,A^4\,a^6\,b^4-27\,A^4\,a^4\,b^6-4\,A^4\,a^2\,b^8-2\,A^4\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{\frac{16\,\left(A^5\,a^8+10\,A^5\,a^6\,b^2+27\,A^5\,a^4\,b^4+10\,A^5\,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(\frac{\left(\frac{8\,\left(16\,A^3\,a^{11}\,b\,d^2+148\,A^3\,a^9\,b^3\,d^2+320\,A^3\,a^7\,b^5\,d^2-120\,A^3\,a^5\,b^7\,d^2-304\,A^3\,a^3\,b^9\,d^2+4\,A^3\,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{\left(\frac{8\,\left(96\,A\,a^{12}\,b^4\,d^4+480\,A\,a^{10}\,b^6\,d^4+960\,A\,a^8\,b^8\,d^4+960\,A\,a^6\,b^{10}\,d^4+480\,A\,a^4\,b^{12}\,d^4+96\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{13}\,b\,d^2+100\,A^2\,a^{11}\,b^3\,d^2+380\,A^2\,a^9\,b^5\,d^2+424\,A^2\,a^7\,b^7\,d^2+128\,A^2\,a^5\,b^9\,d^2+52\,A^2\,a^3\,b^{11}\,d^2+60\,A^2\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{10}+9\,A^4\,a^8\,b^2+15\,A^4\,a^6\,b^4-27\,A^4\,a^4\,b^6-4\,A^4\,a^2\,b^8-2\,A^4\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{\left(\frac{\left(\frac{8\,\left(16\,A^3\,a^{11}\,b\,d^2+148\,A^3\,a^9\,b^3\,d^2+320\,A^3\,a^7\,b^5\,d^2-120\,A^3\,a^5\,b^7\,d^2-304\,A^3\,a^3\,b^9\,d^2+4\,A^3\,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{\left(\frac{8\,\left(96\,A\,a^{12}\,b^4\,d^4+480\,A\,a^{10}\,b^6\,d^4+960\,A\,a^8\,b^8\,d^4+960\,A\,a^6\,b^{10}\,d^4+480\,A\,a^4\,b^{12}\,d^4+96\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{13}\,b\,d^2+100\,A^2\,a^{11}\,b^3\,d^2+380\,A^2\,a^9\,b^5\,d^2+424\,A^2\,a^7\,b^7\,d^2+128\,A^2\,a^5\,b^9\,d^2+52\,A^2\,a^3\,b^{11}\,d^2+60\,A^2\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{10}+9\,A^4\,a^8\,b^2+15\,A^4\,a^6\,b^4-27\,A^4\,a^4\,b^6-4\,A^4\,a^2\,b^8-2\,A^4\,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{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}\right)\,\sqrt{-4\,\left(A^2\,a^7+10\,A^2\,a^5\,b^2+25\,A^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\left(\frac{16\,\left(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,b\,d^2+480\,B^2\,a^{13}\,b^3\,d^2+1132\,B^2\,a^{11}\,b^5\,d^2+1108\,B^2\,a^9\,b^7\,d^2+448\,B^2\,a^7\,b^9\,d^2+72\,B^2\,a^5\,b^{11}\,d^2-52\,B^2\,a^3\,b^{13}\,d^2-60\,B^2\,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\,B\,a^{13}\,b^5\,d^4+288\,B\,a^{11}\,b^7\,d^4+600\,B\,a^9\,b^9\,d^4+640\,B\,a^7\,b^{11}\,d^4+360\,B\,a^5\,b^{13}\,d^4+96\,B\,a^3\,b^{15}\,d^4+8\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,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)}{\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)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}+33\,B^4\,a^{10}\,b^2+7\,B^4\,a^8\,b^4-49\,B^4\,a^6\,b^6+2\,B^4\,a^4\,b^8+4\,B^4\,a^2\,b^{10}+2\,B^4\,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{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}-\frac{\left(\frac{\left(\frac{16\,\left(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,b\,d^2+480\,B^2\,a^{13}\,b^3\,d^2+1132\,B^2\,a^{11}\,b^5\,d^2+1108\,B^2\,a^9\,b^7\,d^2+448\,B^2\,a^7\,b^9\,d^2+72\,B^2\,a^5\,b^{11}\,d^2-52\,B^2\,a^3\,b^{13}\,d^2-60\,B^2\,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\,B\,a^{13}\,b^5\,d^4+288\,B\,a^{11}\,b^7\,d^4+600\,B\,a^9\,b^9\,d^4+640\,B\,a^7\,b^{11}\,d^4+360\,B\,a^5\,b^{13}\,d^4+96\,B\,a^3\,b^{15}\,d^4+8\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,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)}{\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)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}+33\,B^4\,a^{10}\,b^2+7\,B^4\,a^8\,b^4-49\,B^4\,a^6\,b^6+2\,B^4\,a^4\,b^8+4\,B^4\,a^2\,b^{10}+2\,B^4\,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{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{\frac{\left(\frac{\left(\frac{16\,\left(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,b\,d^2+480\,B^2\,a^{13}\,b^3\,d^2+1132\,B^2\,a^{11}\,b^5\,d^2+1108\,B^2\,a^9\,b^7\,d^2+448\,B^2\,a^7\,b^9\,d^2+72\,B^2\,a^5\,b^{11}\,d^2-52\,B^2\,a^3\,b^{13}\,d^2-60\,B^2\,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\,B\,a^{13}\,b^5\,d^4+288\,B\,a^{11}\,b^7\,d^4+600\,B\,a^9\,b^9\,d^4+640\,B\,a^7\,b^{11}\,d^4+360\,B\,a^5\,b^{13}\,d^4+96\,B\,a^3\,b^{15}\,d^4+8\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,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)}{\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)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}+33\,B^4\,a^{10}\,b^2+7\,B^4\,a^8\,b^4-49\,B^4\,a^6\,b^6+2\,B^4\,a^4\,b^8+4\,B^4\,a^2\,b^{10}+2\,B^4\,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{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}-\frac{32\,\left(3\,B^5\,a^5\,b^5+7\,B^5\,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{\left(\frac{16\,\left(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,b\,d^2+480\,B^2\,a^{13}\,b^3\,d^2+1132\,B^2\,a^{11}\,b^5\,d^2+1108\,B^2\,a^9\,b^7\,d^2+448\,B^2\,a^7\,b^9\,d^2+72\,B^2\,a^5\,b^{11}\,d^2-52\,B^2\,a^3\,b^{13}\,d^2-60\,B^2\,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\,B\,a^{13}\,b^5\,d^4+288\,B\,a^{11}\,b^7\,d^4+600\,B\,a^9\,b^9\,d^4+640\,B\,a^7\,b^{11}\,d^4+360\,B\,a^5\,b^{13}\,d^4+96\,B\,a^3\,b^{15}\,d^4+8\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,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)}{\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)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}+33\,B^4\,a^{10}\,b^2+7\,B^4\,a^8\,b^4-49\,B^4\,a^6\,b^6+2\,B^4\,a^4\,b^8+4\,B^4\,a^2\,b^{10}+2\,B^4\,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{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}{4\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b^5\,d^2+4\,a^6\,b^7\,d^2+6\,a^4\,b^9\,d^2+4\,a^2\,b^{11}\,d^2+b^{13}\,d^2\right)}","Not used",1,"(log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*a*b^2*(7*a^4 + b^4 + 8*a^2*b^2))/d)*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^2*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*a*b^2*(7*a^4 + b^4 + 8*a^2*b^2))/d)*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^2*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 - log(- ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*a*b^2*(7*a^4 + b^4 + 8*a^2*b^2))/d)*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^2*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log(- ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*a*b^2*(7*a^4 + b^4 + 8*a^2*b^2))/d)*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^2*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*A*a^2*b^3*(a^2 + b^2))/d)*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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*d^4*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*A^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4))*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*A*a^2*b^3*(a^2 + b^2))/d)*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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*d^4*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*A^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4))*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 - log((8*A^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*A*a^2*b^3*(a^2 + b^2))/d)*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*A^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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*d^4*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((8*A^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*A*a^2*b^3*(a^2 + b^2))/d)*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*A^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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*d^4*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - (atan(((((((8*(320*A^3*a^7*b^5*d^2 - 120*A^3*a^5*b^7*d^2 - 304*A^3*a^3*b^9*d^2 + 148*A^3*a^9*b^3*d^2 + 4*A^3*a*b^11*d^2 + 16*A^3*a^11*b*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) + (((((8*(96*A*a^2*b^14*d^4 + 480*A*a^4*b^12*d^4 + 960*A*a^6*b^10*d^4 + 960*A*a^8*b^8*d^4 + 480*A*a^10*b^6*d^4 + 96*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(52*A^2*a^3*b^11*d^2 + 128*A^2*a^5*b^9*d^2 + 424*A^2*a^7*b^7*d^2 + 380*A^2*a^9*b^5*d^2 + 100*A^2*a^11*b^3*d^2 + 60*A^2*a*b^13*d^2 + 8*A^2*a^13*b*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(A^4*a^10 - 2*A^4*b^10 - 4*A^4*a^2*b^8 - 27*A^4*a^4*b^6 + 15*A^4*a^6*b^4 + 9*A^4*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (((((8*(320*A^3*a^7*b^5*d^2 - 120*A^3*a^5*b^7*d^2 - 304*A^3*a^3*b^9*d^2 + 148*A^3*a^9*b^3*d^2 + 4*A^3*a*b^11*d^2 + 16*A^3*a^11*b*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) + (((((8*(96*A*a^2*b^14*d^4 + 480*A*a^4*b^12*d^4 + 960*A*a^6*b^10*d^4 + 960*A*a^8*b^8*d^4 + 480*A*a^10*b^6*d^4 + 96*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(52*A^2*a^3*b^11*d^2 + 128*A^2*a^5*b^9*d^2 + 424*A^2*a^7*b^7*d^2 + 380*A^2*a^9*b^5*d^2 + 100*A^2*a^11*b^3*d^2 + 60*A^2*a*b^13*d^2 + 8*A^2*a^13*b*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(A^4*a^10 - 2*A^4*b^10 - 4*A^4*a^2*b^8 - 27*A^4*a^4*b^6 + 15*A^4*a^6*b^4 + 9*A^4*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))/((16*(A^5*a^8 + 10*A^5*a^2*b^6 + 27*A^5*a^4*b^4 + 10*A^5*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) + (((((8*(320*A^3*a^7*b^5*d^2 - 120*A^3*a^5*b^7*d^2 - 304*A^3*a^3*b^9*d^2 + 148*A^3*a^9*b^3*d^2 + 4*A^3*a*b^11*d^2 + 16*A^3*a^11*b*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) + (((((8*(96*A*a^2*b^14*d^4 + 480*A*a^4*b^12*d^4 + 960*A*a^6*b^10*d^4 + 960*A*a^8*b^8*d^4 + 480*A*a^10*b^6*d^4 + 96*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(52*A^2*a^3*b^11*d^2 + 128*A^2*a^5*b^9*d^2 + 424*A^2*a^7*b^7*d^2 + 380*A^2*a^9*b^5*d^2 + 100*A^2*a^11*b^3*d^2 + 60*A^2*a*b^13*d^2 + 8*A^2*a^13*b*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(A^4*a^10 - 2*A^4*b^10 - 4*A^4*a^2*b^8 - 27*A^4*a^4*b^6 + 15*A^4*a^6*b^4 + 9*A^4*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (((((8*(320*A^3*a^7*b^5*d^2 - 120*A^3*a^5*b^7*d^2 - 304*A^3*a^3*b^9*d^2 + 148*A^3*a^9*b^3*d^2 + 4*A^3*a*b^11*d^2 + 16*A^3*a^11*b*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) + (((((8*(96*A*a^2*b^14*d^4 + 480*A*a^4*b^12*d^4 + 960*A*a^6*b^10*d^4 + 960*A*a^8*b^8*d^4 + 480*A*a^10*b^6*d^4 + 96*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(52*A^2*a^3*b^11*d^2 + 128*A^2*a^5*b^9*d^2 + 424*A^2*a^7*b^7*d^2 + 380*A^2*a^9*b^5*d^2 + 100*A^2*a^11*b^3*d^2 + 60*A^2*a*b^13*d^2 + 8*A^2*a^13*b*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(A^4*a^10 - 2*A^4*b^10 - 4*A^4*a^2*b^8 - 27*A^4*a^4*b^6 + 15*A^4*a^6*b^4 + 9*A^4*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))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))))*(-4*(A^2*a^7 + 25*A^2*a^3*b^4 + 10*A^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(2*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (atan(-((((((16*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*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) - (((16*tan(c + d*x)^(1/2)*(72*B^2*a^5*b^11*d^2 - 52*B^2*a^3*b^13*d^2 + 448*B^2*a^7*b^9*d^2 + 1108*B^2*a^9*b^7*d^2 + 1132*B^2*a^11*b^5*d^2 + 480*B^2*a^13*b^3*d^2 - 60*B^2*a*b^15*d^2 + 72*B^2*a^15*b*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*B*a*b^17*d^4 + 96*B*a^3*b^15*d^4 + 360*B*a^5*b^13*d^4 + 640*B*a^7*b^11*d^4 + 600*B*a^9*b^9*d^4 + 288*B*a^11*b^7*d^4 + 56*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*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)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)) + (16*tan(c + d*x)^(1/2)*(9*B^4*a^12 + 2*B^4*b^12 + 4*B^4*a^2*b^10 + 2*B^4*a^4*b^8 - 49*B^4*a^6*b^6 + 7*B^4*a^8*b^4 + 33*B^4*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))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2)*1i)/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)) - (((((16*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*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) + (((16*tan(c + d*x)^(1/2)*(72*B^2*a^5*b^11*d^2 - 52*B^2*a^3*b^13*d^2 + 448*B^2*a^7*b^9*d^2 + 1108*B^2*a^9*b^7*d^2 + 1132*B^2*a^11*b^5*d^2 + 480*B^2*a^13*b^3*d^2 - 60*B^2*a*b^15*d^2 + 72*B^2*a^15*b*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*B*a*b^17*d^4 + 96*B*a^3*b^15*d^4 + 360*B*a^5*b^13*d^4 + 640*B*a^7*b^11*d^4 + 600*B*a^9*b^9*d^4 + 288*B*a^11*b^7*d^4 + 56*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*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)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)) - (16*tan(c + d*x)^(1/2)*(9*B^4*a^12 + 2*B^4*b^12 + 4*B^4*a^2*b^10 + 2*B^4*a^4*b^8 - 49*B^4*a^6*b^6 + 7*B^4*a^8*b^4 + 33*B^4*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))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2)*1i)/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))/((((((16*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*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) - (((16*tan(c + d*x)^(1/2)*(72*B^2*a^5*b^11*d^2 - 52*B^2*a^3*b^13*d^2 + 448*B^2*a^7*b^9*d^2 + 1108*B^2*a^9*b^7*d^2 + 1132*B^2*a^11*b^5*d^2 + 480*B^2*a^13*b^3*d^2 - 60*B^2*a*b^15*d^2 + 72*B^2*a^15*b*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*B*a*b^17*d^4 + 96*B*a^3*b^15*d^4 + 360*B*a^5*b^13*d^4 + 640*B*a^7*b^11*d^4 + 600*B*a^9*b^9*d^4 + 288*B*a^11*b^7*d^4 + 56*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*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)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)) + (16*tan(c + d*x)^(1/2)*(9*B^4*a^12 + 2*B^4*b^12 + 4*B^4*a^2*b^10 + 2*B^4*a^4*b^8 - 49*B^4*a^6*b^6 + 7*B^4*a^8*b^4 + 33*B^4*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))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)) - (32*(7*B^5*a^3*b^7 + 3*B^5*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*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*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) + (((16*tan(c + d*x)^(1/2)*(72*B^2*a^5*b^11*d^2 - 52*B^2*a^3*b^13*d^2 + 448*B^2*a^7*b^9*d^2 + 1108*B^2*a^9*b^7*d^2 + 1132*B^2*a^11*b^5*d^2 + 480*B^2*a^13*b^3*d^2 - 60*B^2*a*b^15*d^2 + 72*B^2*a^15*b*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*B*a*b^17*d^4 + 96*B*a^3*b^15*d^4 + 360*B*a^5*b^13*d^4 + 640*B*a^7*b^11*d^4 + 600*B*a^9*b^9*d^4 + 288*B*a^11*b^7*d^4 + 56*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*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)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)) - (16*tan(c + d*x)^(1/2)*(9*B^4*a^12 + 2*B^4*b^12 + 4*B^4*a^2*b^10 + 2*B^4*a^4*b^8 - 49*B^4*a^6*b^6 + 7*B^4*a^8*b^4 + 33*B^4*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))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2))/(4*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2))^(1/2)*1i)/(2*(b^13*d^2 + 4*a^2*b^11*d^2 + 6*a^4*b^9*d^2 + 4*a^6*b^7*d^2 + a^8*b^5*d^2)) + (2*B*tan(c + d*x)^(1/2))/(b^2*d) + (B*a^3*tan(c + d*x)^(1/2))/((a*b^2*d + b^3*d*tan(c + d*x))*(a^2 + b^2)) - (A*a^2*tan(c + d*x)^(1/2))/(b*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
405,1,17579,391,33.223700,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,A\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^5\,a\,b^4\,\left(a^2-3\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,A\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^5\,a\,b^4\,\left(a^2-3\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\frac{16\,A^5\,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(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,A\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{16\,A^5\,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(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,A\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,B\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,B^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,B\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,B^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\frac{8\,B^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,B\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{8\,B^5\,a^2\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,B\,a^2\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{A\,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{B\,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)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(16\,B^3\,a^{11}\,b\,d^2+148\,B^3\,a^9\,b^3\,d^2+320\,B^3\,a^7\,b^5\,d^2-120\,B^3\,a^5\,b^7\,d^2-304\,B^3\,a^3\,b^9\,d^2+4\,B^3\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{13}\,b\,d^2+100\,B^2\,a^{11}\,b^3\,d^2+380\,B^2\,a^9\,b^5\,d^2+424\,B^2\,a^7\,b^7\,d^2+128\,B^2\,a^5\,b^9\,d^2+52\,B^2\,a^3\,b^{11}\,d^2+60\,B^2\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{10}+9\,B^4\,a^8\,b^2+15\,B^4\,a^6\,b^4-27\,B^4\,a^4\,b^6-4\,B^4\,a^2\,b^8-2\,B^4\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{\left(\frac{\left(\frac{8\,\left(16\,B^3\,a^{11}\,b\,d^2+148\,B^3\,a^9\,b^3\,d^2+320\,B^3\,a^7\,b^5\,d^2-120\,B^3\,a^5\,b^7\,d^2-304\,B^3\,a^3\,b^9\,d^2+4\,B^3\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{13}\,b\,d^2+100\,B^2\,a^{11}\,b^3\,d^2+380\,B^2\,a^9\,b^5\,d^2+424\,B^2\,a^7\,b^7\,d^2+128\,B^2\,a^5\,b^9\,d^2+52\,B^2\,a^3\,b^{11}\,d^2+60\,B^2\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{10}+9\,B^4\,a^8\,b^2+15\,B^4\,a^6\,b^4-27\,B^4\,a^4\,b^6-4\,B^4\,a^2\,b^8-2\,B^4\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{\frac{16\,\left(B^5\,a^8+10\,B^5\,a^6\,b^2+27\,B^5\,a^4\,b^4+10\,B^5\,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(\frac{\left(\frac{8\,\left(16\,B^3\,a^{11}\,b\,d^2+148\,B^3\,a^9\,b^3\,d^2+320\,B^3\,a^7\,b^5\,d^2-120\,B^3\,a^5\,b^7\,d^2-304\,B^3\,a^3\,b^9\,d^2+4\,B^3\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{13}\,b\,d^2+100\,B^2\,a^{11}\,b^3\,d^2+380\,B^2\,a^9\,b^5\,d^2+424\,B^2\,a^7\,b^7\,d^2+128\,B^2\,a^5\,b^9\,d^2+52\,B^2\,a^3\,b^{11}\,d^2+60\,B^2\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{10}+9\,B^4\,a^8\,b^2+15\,B^4\,a^6\,b^4-27\,B^4\,a^4\,b^6-4\,B^4\,a^2\,b^8-2\,B^4\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{\left(\frac{\left(\frac{8\,\left(16\,B^3\,a^{11}\,b\,d^2+148\,B^3\,a^9\,b^3\,d^2+320\,B^3\,a^7\,b^5\,d^2-120\,B^3\,a^5\,b^7\,d^2-304\,B^3\,a^3\,b^9\,d^2+4\,B^3\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{13}\,b\,d^2+100\,B^2\,a^{11}\,b^3\,d^2+380\,B^2\,a^9\,b^5\,d^2+424\,B^2\,a^7\,b^7\,d^2+128\,B^2\,a^5\,b^9\,d^2+52\,B^2\,a^3\,b^{11}\,d^2+60\,B^2\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{10}+9\,B^4\,a^8\,b^2+15\,B^4\,a^6\,b^4-27\,B^4\,a^4\,b^6-4\,B^4\,a^2\,b^8-2\,B^4\,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{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}\right)\,\sqrt{-4\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^8\,b-7\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-5\,A^4\,a^2\,b^7+2\,A^4\,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^3\,a^{10}\,b\,d^2-24\,A^3\,a^8\,b^3\,d^2+60\,A^3\,a^6\,b^5\,d^2+8\,A^3\,a^4\,b^7\,d^2-78\,A^3\,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{\left(\frac{16\,\left(-8\,A\,a^{13}\,b^2\,d^4+120\,A\,a^9\,b^6\,d^4+320\,A\,a^7\,b^8\,d^4+360\,A\,a^5\,b^{10}\,d^4+192\,A\,a^3\,b^{12}\,d^4+40\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2-44\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2+168\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2-60\,A^2\,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{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^8\,b-7\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-5\,A^4\,a^2\,b^7+2\,A^4\,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^3\,a^{10}\,b\,d^2-24\,A^3\,a^8\,b^3\,d^2+60\,A^3\,a^6\,b^5\,d^2+8\,A^3\,a^4\,b^7\,d^2-78\,A^3\,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{\left(\frac{16\,\left(-8\,A\,a^{13}\,b^2\,d^4+120\,A\,a^9\,b^6\,d^4+320\,A\,a^7\,b^8\,d^4+360\,A\,a^5\,b^{10}\,d^4+192\,A\,a^3\,b^{12}\,d^4+40\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2-44\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2+168\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2-60\,A^2\,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{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{\frac{32\,\left(3\,A^5\,a\,b^6-A^5\,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{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^8\,b-7\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-5\,A^4\,a^2\,b^7+2\,A^4\,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^3\,a^{10}\,b\,d^2-24\,A^3\,a^8\,b^3\,d^2+60\,A^3\,a^6\,b^5\,d^2+8\,A^3\,a^4\,b^7\,d^2-78\,A^3\,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{\left(\frac{16\,\left(-8\,A\,a^{13}\,b^2\,d^4+120\,A\,a^9\,b^6\,d^4+320\,A\,a^7\,b^8\,d^4+360\,A\,a^5\,b^{10}\,d^4+192\,A\,a^3\,b^{12}\,d^4+40\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2-44\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2+168\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2-60\,A^2\,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{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^8\,b-7\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-5\,A^4\,a^2\,b^7+2\,A^4\,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^3\,a^{10}\,b\,d^2-24\,A^3\,a^8\,b^3\,d^2+60\,A^3\,a^6\,b^5\,d^2+8\,A^3\,a^4\,b^7\,d^2-78\,A^3\,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{\left(\frac{16\,\left(-8\,A\,a^{13}\,b^2\,d^4+120\,A\,a^9\,b^6\,d^4+320\,A\,a^7\,b^8\,d^4+360\,A\,a^5\,b^{10}\,d^4+192\,A\,a^3\,b^{12}\,d^4+40\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2-44\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2+168\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2-60\,A^2\,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{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\sqrt{-4\,\left(A^2\,a^5-6\,A^2\,a^3\,b^2+9\,A^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}","Not used",1,"(log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*A*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*A^4*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4))*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*A*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*A^4*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4))*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 - log((16*A^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*A*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*A^3*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*A^4*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((16*A^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*A*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*A^3*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*A^4*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*B*a^2*b^3*(a^2 + b^2))/d)*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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*d^4*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*B^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*B*a^2*b^3*(a^2 + b^2))/d)*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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*d^4*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*B^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 - log((8*B^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*B*a^2*b^3*(a^2 + b^2))/d)*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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*d^4*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((8*B^5*a^2*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*B*a^2*b^3*(a^2 + b^2))/d)*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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*d^4*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - (atan(((((((8*(320*B^3*a^7*b^5*d^2 - 120*B^3*a^5*b^7*d^2 - 304*B^3*a^3*b^9*d^2 + 148*B^3*a^9*b^3*d^2 + 4*B^3*a*b^11*d^2 + 16*B^3*a^11*b*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) + (((((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(52*B^2*a^3*b^11*d^2 + 128*B^2*a^5*b^9*d^2 + 424*B^2*a^7*b^7*d^2 + 380*B^2*a^9*b^5*d^2 + 100*B^2*a^11*b^3*d^2 + 60*B^2*a*b^13*d^2 + 8*B^2*a^13*b*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(B^4*a^10 - 2*B^4*b^10 - 4*B^4*a^2*b^8 - 27*B^4*a^4*b^6 + 15*B^4*a^6*b^4 + 9*B^4*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (((((8*(320*B^3*a^7*b^5*d^2 - 120*B^3*a^5*b^7*d^2 - 304*B^3*a^3*b^9*d^2 + 148*B^3*a^9*b^3*d^2 + 4*B^3*a*b^11*d^2 + 16*B^3*a^11*b*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) + (((((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(52*B^2*a^3*b^11*d^2 + 128*B^2*a^5*b^9*d^2 + 424*B^2*a^7*b^7*d^2 + 380*B^2*a^9*b^5*d^2 + 100*B^2*a^11*b^3*d^2 + 60*B^2*a*b^13*d^2 + 8*B^2*a^13*b*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(B^4*a^10 - 2*B^4*b^10 - 4*B^4*a^2*b^8 - 27*B^4*a^4*b^6 + 15*B^4*a^6*b^4 + 9*B^4*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))/((16*(B^5*a^8 + 10*B^5*a^2*b^6 + 27*B^5*a^4*b^4 + 10*B^5*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) + (((((8*(320*B^3*a^7*b^5*d^2 - 120*B^3*a^5*b^7*d^2 - 304*B^3*a^3*b^9*d^2 + 148*B^3*a^9*b^3*d^2 + 4*B^3*a*b^11*d^2 + 16*B^3*a^11*b*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) + (((((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(52*B^2*a^3*b^11*d^2 + 128*B^2*a^5*b^9*d^2 + 424*B^2*a^7*b^7*d^2 + 380*B^2*a^9*b^5*d^2 + 100*B^2*a^11*b^3*d^2 + 60*B^2*a*b^13*d^2 + 8*B^2*a^13*b*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(B^4*a^10 - 2*B^4*b^10 - 4*B^4*a^2*b^8 - 27*B^4*a^4*b^6 + 15*B^4*a^6*b^4 + 9*B^4*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (((((8*(320*B^3*a^7*b^5*d^2 - 120*B^3*a^5*b^7*d^2 - 304*B^3*a^3*b^9*d^2 + 148*B^3*a^9*b^3*d^2 + 4*B^3*a*b^11*d^2 + 16*B^3*a^11*b*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) + (((((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(52*B^2*a^3*b^11*d^2 + 128*B^2*a^5*b^9*d^2 + 424*B^2*a^7*b^7*d^2 + 380*B^2*a^9*b^5*d^2 + 100*B^2*a^11*b^3*d^2 + 60*B^2*a*b^13*d^2 + 8*B^2*a^13*b*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(B^4*a^10 - 2*B^4*b^10 - 4*B^4*a^2*b^8 - 27*B^4*a^4*b^6 + 15*B^4*a^6*b^4 + 9*B^4*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))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))))*(-4*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(2*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (atan(((((16*tan(c + d*x)^(1/2)*(2*A^4*b^9 + A^4*a^8*b - 5*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 7*A^4*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*(8*A^3*a^4*b^7*d^2 - 78*A^3*a^2*b^9*d^2 + 60*A^3*a^6*b^5*d^2 - 24*A^3*a^8*b^3*d^2 + 2*A^3*a^10*b*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*(40*A*a*b^14*d^4 + 192*A*a^3*b^12*d^4 + 360*A*a^5*b^10*d^4 + 320*A*a^7*b^8*d^4 + 120*A*a^9*b^6*d^4 - 8*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^10*d^2 + 168*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 - 44*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 - 60*A^2*a*b^12*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))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*1i)/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (((16*tan(c + d*x)^(1/2)*(2*A^4*b^9 + A^4*a^8*b - 5*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 7*A^4*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*(8*A^3*a^4*b^7*d^2 - 78*A^3*a^2*b^9*d^2 + 60*A^3*a^6*b^5*d^2 - 24*A^3*a^8*b^3*d^2 + 2*A^3*a^10*b*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*(40*A*a*b^14*d^4 + 192*A*a^3*b^12*d^4 + 360*A*a^5*b^10*d^4 + 320*A*a^7*b^8*d^4 + 120*A*a^9*b^6*d^4 - 8*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^10*d^2 + 168*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 - 44*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 - 60*A^2*a*b^12*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))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*1i)/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))/((32*(3*A^5*a*b^6 - A^5*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) - (((16*tan(c + d*x)^(1/2)*(2*A^4*b^9 + A^4*a^8*b - 5*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 7*A^4*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*(8*A^3*a^4*b^7*d^2 - 78*A^3*a^2*b^9*d^2 + 60*A^3*a^6*b^5*d^2 - 24*A^3*a^8*b^3*d^2 + 2*A^3*a^10*b*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*(40*A*a*b^14*d^4 + 192*A*a^3*b^12*d^4 + 360*A*a^5*b^10*d^4 + 320*A*a^7*b^8*d^4 + 120*A*a^9*b^6*d^4 - 8*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^10*d^2 + 168*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 - 44*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 - 60*A^2*a*b^12*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))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (((16*tan(c + d*x)^(1/2)*(2*A^4*b^9 + A^4*a^8*b - 5*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 7*A^4*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*(8*A^3*a^4*b^7*d^2 - 78*A^3*a^2*b^9*d^2 + 60*A^3*a^6*b^5*d^2 - 24*A^3*a^8*b^3*d^2 + 2*A^3*a^10*b*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*(40*A*a*b^14*d^4 + 192*A*a^3*b^12*d^4 + 360*A*a^5*b^10*d^4 + 320*A*a^7*b^8*d^4 + 120*A*a^9*b^6*d^4 - 8*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(20*A^2*a^3*b^10*d^2 + 168*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 - 44*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 - 60*A^2*a*b^12*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))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))))*(-4*(A^2*a^5 + 9*A^2*a*b^4 - 6*A^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*1i)/(2*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (A*a*tan(c + d*x)^(1/2))/((a*d + b*d*tan(c + d*x))*(a^2 + b^2)) - (B*a^2*tan(c + d*x)^(1/2))/(b*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
406,1,17089,391,32.550926,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\frac{16\,B^5\,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\,B\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{16\,B^5\,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\,B\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\frac{16\,B^5\,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\,B\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{16\,B^5\,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\,B\,a\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,A\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,A^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,A^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,A\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,A^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,A^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,A\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,A^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,A\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,A^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\frac{A\,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)}+\frac{B\,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{\left(\frac{\left(\frac{8\,\left(4\,A^3\,a^9\,b^2\,d^2+160\,A^3\,a^7\,b^4\,d^2-24\,A^3\,a^5\,b^6\,d^2-128\,A^3\,a^3\,b^8\,d^2+52\,A^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2+84\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2-88\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2+68\,A^2\,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{\left(\frac{8\,\left(64\,A\,a^{12}\,b^3\,d^4+288\,A\,a^{10}\,b^5\,d^4+480\,A\,a^8\,b^7\,d^4+320\,A\,a^6\,b^9\,d^4-96\,A\,a^2\,b^{13}\,d^4-32\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-3\,A^4\,a^2\,b^7+3\,A^4\,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{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{\left(\frac{\left(\frac{8\,\left(4\,A^3\,a^9\,b^2\,d^2+160\,A^3\,a^7\,b^4\,d^2-24\,A^3\,a^5\,b^6\,d^2-128\,A^3\,a^3\,b^8\,d^2+52\,A^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2+84\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2-88\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2+68\,A^2\,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{\left(\frac{8\,\left(64\,A\,a^{12}\,b^3\,d^4+288\,A\,a^{10}\,b^5\,d^4+480\,A\,a^8\,b^7\,d^4+320\,A\,a^6\,b^9\,d^4-96\,A\,a^2\,b^{13}\,d^4-32\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-3\,A^4\,a^2\,b^7+3\,A^4\,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{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{\frac{\left(\frac{\left(\frac{8\,\left(4\,A^3\,a^9\,b^2\,d^2+160\,A^3\,a^7\,b^4\,d^2-24\,A^3\,a^5\,b^6\,d^2-128\,A^3\,a^3\,b^8\,d^2+52\,A^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2+84\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2-88\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2+68\,A^2\,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{\left(\frac{8\,\left(64\,A\,a^{12}\,b^3\,d^4+288\,A\,a^{10}\,b^5\,d^4+480\,A\,a^8\,b^7\,d^4+320\,A\,a^6\,b^9\,d^4-96\,A\,a^2\,b^{13}\,d^4-32\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-3\,A^4\,a^2\,b^7+3\,A^4\,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{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{16\,\left(A^5\,b^7-9\,A^5\,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{\left(\frac{\left(\frac{8\,\left(4\,A^3\,a^9\,b^2\,d^2+160\,A^3\,a^7\,b^4\,d^2-24\,A^3\,a^5\,b^6\,d^2-128\,A^3\,a^3\,b^8\,d^2+52\,A^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,A^2\,a^{11}\,b^2\,d^2+84\,A^2\,a^9\,b^4\,d^2+40\,A^2\,a^7\,b^6\,d^2-88\,A^2\,a^5\,b^8\,d^2+20\,A^2\,a^3\,b^{10}\,d^2+68\,A^2\,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{\left(\frac{8\,\left(64\,A\,a^{12}\,b^3\,d^4+288\,A\,a^{10}\,b^5\,d^4+480\,A\,a^8\,b^7\,d^4+320\,A\,a^6\,b^9\,d^4-96\,A\,a^2\,b^{13}\,d^4-32\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,A^4\,a^6\,b^3+17\,A^4\,a^4\,b^5-3\,A^4\,a^2\,b^7+3\,A^4\,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{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\sqrt{-4\,\left(9\,A^2\,a^4\,b-6\,A^2\,a^2\,b^3+A^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b-7\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-5\,B^4\,a^2\,b^7+2\,B^4\,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\,B^3\,a^{10}\,b\,d^2-24\,B^3\,a^8\,b^3\,d^2+60\,B^3\,a^6\,b^5\,d^2+8\,B^3\,a^4\,b^7\,d^2-78\,B^3\,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{\left(\frac{16\,\left(-8\,B\,a^{13}\,b^2\,d^4+120\,B\,a^9\,b^6\,d^4+320\,B\,a^7\,b^8\,d^4+360\,B\,a^5\,b^{10}\,d^4+192\,B\,a^3\,b^{12}\,d^4+40\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2-44\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2+168\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2-60\,B^2\,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{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b-7\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-5\,B^4\,a^2\,b^7+2\,B^4\,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\,B^3\,a^{10}\,b\,d^2-24\,B^3\,a^8\,b^3\,d^2+60\,B^3\,a^6\,b^5\,d^2+8\,B^3\,a^4\,b^7\,d^2-78\,B^3\,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{\left(\frac{16\,\left(-8\,B\,a^{13}\,b^2\,d^4+120\,B\,a^9\,b^6\,d^4+320\,B\,a^7\,b^8\,d^4+360\,B\,a^5\,b^{10}\,d^4+192\,B\,a^3\,b^{12}\,d^4+40\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2-44\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2+168\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2-60\,B^2\,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{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{\frac{32\,\left(3\,B^5\,a\,b^6-B^5\,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{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b-7\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-5\,B^4\,a^2\,b^7+2\,B^4\,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\,B^3\,a^{10}\,b\,d^2-24\,B^3\,a^8\,b^3\,d^2+60\,B^3\,a^6\,b^5\,d^2+8\,B^3\,a^4\,b^7\,d^2-78\,B^3\,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{\left(\frac{16\,\left(-8\,B\,a^{13}\,b^2\,d^4+120\,B\,a^9\,b^6\,d^4+320\,B\,a^7\,b^8\,d^4+360\,B\,a^5\,b^{10}\,d^4+192\,B\,a^3\,b^{12}\,d^4+40\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2-44\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2+168\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2-60\,B^2\,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{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b-7\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-5\,B^4\,a^2\,b^7+2\,B^4\,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\,B^3\,a^{10}\,b\,d^2-24\,B^3\,a^8\,b^3\,d^2+60\,B^3\,a^6\,b^5\,d^2+8\,B^3\,a^4\,b^7\,d^2-78\,B^3\,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{\left(\frac{16\,\left(-8\,B\,a^{13}\,b^2\,d^4+120\,B\,a^9\,b^6\,d^4+320\,B\,a^7\,b^8\,d^4+360\,B\,a^5\,b^{10}\,d^4+192\,B\,a^3\,b^{12}\,d^4+40\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,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)}{\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)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2-44\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2+168\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2-60\,B^2\,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{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}{4\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\sqrt{-4\,\left(B^2\,a^5-6\,B^2\,a^3\,b^2+9\,B^2\,a\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}","Not used",1,"(log((16*B^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 + (log((16*B^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 - log((16*B^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((16*B^5*a*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(- (((((((((256*A*b^3*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*A^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*A^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 + (log(- (((((((((256*A*b^3*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*A^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*A^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 - log(- (((((((((256*A*b^3*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*A^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log(- (((((((((256*A*b^3*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*A^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (atan(((((((8*(160*A^3*a^7*b^4*d^2 - 24*A^3*a^5*b^6*d^2 - 128*A^3*a^3*b^8*d^2 + 4*A^3*a^9*b^2*d^2 + 52*A^3*a*b^10*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^2*a^3*b^10*d^2 - 88*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 + 84*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 + 68*A^2*a*b^12*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) + (((8*(320*A*a^6*b^9*d^4 - 96*A*a^2*b^13*d^4 - 32*A*b^15*d^4 + 480*A*a^8*b^7*d^4 + 288*A*a^10*b^5*d^4 + 64*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(3*A^4*b^9 - 3*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 9*A^4*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))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*1i)/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (((((8*(160*A^3*a^7*b^4*d^2 - 24*A^3*a^5*b^6*d^2 - 128*A^3*a^3*b^8*d^2 + 4*A^3*a^9*b^2*d^2 + 52*A^3*a*b^10*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^2*a^3*b^10*d^2 - 88*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 + 84*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 + 68*A^2*a*b^12*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) - (((8*(320*A*a^6*b^9*d^4 - 96*A*a^2*b^13*d^4 - 32*A*b^15*d^4 + 480*A*a^8*b^7*d^4 + 288*A*a^10*b^5*d^4 + 64*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(3*A^4*b^9 - 3*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 9*A^4*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))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*1i)/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))/((((((8*(160*A^3*a^7*b^4*d^2 - 24*A^3*a^5*b^6*d^2 - 128*A^3*a^3*b^8*d^2 + 4*A^3*a^9*b^2*d^2 + 52*A^3*a*b^10*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^2*a^3*b^10*d^2 - 88*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 + 84*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 + 68*A^2*a*b^12*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) + (((8*(320*A*a^6*b^9*d^4 - 96*A*a^2*b^13*d^4 - 32*A*b^15*d^4 + 480*A*a^8*b^7*d^4 + 288*A*a^10*b^5*d^4 + 64*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(3*A^4*b^9 - 3*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 9*A^4*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))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (16*(A^5*b^7 - 9*A^5*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) + (((((8*(160*A^3*a^7*b^4*d^2 - 24*A^3*a^5*b^6*d^2 - 128*A^3*a^3*b^8*d^2 + 4*A^3*a^9*b^2*d^2 + 52*A^3*a*b^10*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^2*a^3*b^10*d^2 - 88*A^2*a^5*b^8*d^2 + 40*A^2*a^7*b^6*d^2 + 84*A^2*a^9*b^4*d^2 + 4*A^2*a^11*b^2*d^2 + 68*A^2*a*b^12*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) - (((8*(320*A*a^6*b^9*d^4 - 96*A*a^2*b^13*d^4 - 32*A*b^15*d^4 + 480*A*a^8*b^7*d^4 + 288*A*a^10*b^5*d^4 + 64*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(3*A^4*b^9 - 3*A^4*a^2*b^7 + 17*A^4*a^4*b^5 - 9*A^4*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))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))))*(-4*(A^2*b^5 + 9*A^2*a^4*b - 6*A^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*1i)/(2*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (atan(((((16*tan(c + d*x)^(1/2)*(2*B^4*b^9 + B^4*a^8*b - 5*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 7*B^4*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*(8*B^3*a^4*b^7*d^2 - 78*B^3*a^2*b^9*d^2 + 60*B^3*a^6*b^5*d^2 - 24*B^3*a^8*b^3*d^2 + 2*B^3*a^10*b*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*(40*B*a*b^14*d^4 + 192*B*a^3*b^12*d^4 + 360*B*a^5*b^10*d^4 + 320*B*a^7*b^8*d^4 + 120*B*a^9*b^6*d^4 - 8*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^10*d^2 + 168*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 - 44*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 - 60*B^2*a*b^12*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))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*1i)/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (((16*tan(c + d*x)^(1/2)*(2*B^4*b^9 + B^4*a^8*b - 5*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 7*B^4*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*(8*B^3*a^4*b^7*d^2 - 78*B^3*a^2*b^9*d^2 + 60*B^3*a^6*b^5*d^2 - 24*B^3*a^8*b^3*d^2 + 2*B^3*a^10*b*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*(40*B*a*b^14*d^4 + 192*B*a^3*b^12*d^4 + 360*B*a^5*b^10*d^4 + 320*B*a^7*b^8*d^4 + 120*B*a^9*b^6*d^4 - 8*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^10*d^2 + 168*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 - 44*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 - 60*B^2*a*b^12*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))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*1i)/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))/((32*(3*B^5*a*b^6 - B^5*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) - (((16*tan(c + d*x)^(1/2)*(2*B^4*b^9 + B^4*a^8*b - 5*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 7*B^4*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*(8*B^3*a^4*b^7*d^2 - 78*B^3*a^2*b^9*d^2 + 60*B^3*a^6*b^5*d^2 - 24*B^3*a^8*b^3*d^2 + 2*B^3*a^10*b*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*(40*B*a*b^14*d^4 + 192*B*a^3*b^12*d^4 + 360*B*a^5*b^10*d^4 + 320*B*a^7*b^8*d^4 + 120*B*a^9*b^6*d^4 - 8*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^10*d^2 + 168*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 - 44*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 - 60*B^2*a*b^12*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))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) + (((16*tan(c + d*x)^(1/2)*(2*B^4*b^9 + B^4*a^8*b - 5*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 7*B^4*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*(8*B^3*a^4*b^7*d^2 - 78*B^3*a^2*b^9*d^2 + 60*B^3*a^6*b^5*d^2 - 24*B^3*a^8*b^3*d^2 + 2*B^3*a^10*b*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*(40*B*a*b^14*d^4 + 192*B*a^3*b^12*d^4 + 360*B*a^5*b^10*d^4 + 320*B*a^7*b^8*d^4 + 120*B*a^9*b^6*d^4 - 8*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*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)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^10*d^2 + 168*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 - 44*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 - 60*B^2*a*b^12*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))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))/(4*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))))*(-4*(B^2*a^5 + 9*B^2*a*b^4 - 6*B^2*a^3*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*1i)/(2*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2)) - (A*b*tan(c + d*x)^(1/2))/((a*d + b*d*tan(c + d*x))*(a^2 + b^2)) + (B*a*tan(c + d*x)^(1/2))/((a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
407,1,17494,391,33.533614,"\text{Not used}","int((A + B*tan(c + d*x))/(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{256\,B\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,A\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,A\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\frac{16\,A^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,A\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{16\,A^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,A\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\frac{B\,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)}+\frac{A\,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)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(4\,B^3\,a^9\,b^2\,d^2+160\,B^3\,a^7\,b^4\,d^2-24\,B^3\,a^5\,b^6\,d^2-128\,B^3\,a^3\,b^8\,d^2+52\,B^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2+84\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2-88\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2+68\,B^2\,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{\left(\frac{8\,\left(64\,B\,a^{12}\,b^3\,d^4+288\,B\,a^{10}\,b^5\,d^4+480\,B\,a^8\,b^7\,d^4+320\,B\,a^6\,b^9\,d^4-96\,B\,a^2\,b^{13}\,d^4-32\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-3\,B^4\,a^2\,b^7+3\,B^4\,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{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{\left(\frac{\left(\frac{8\,\left(4\,B^3\,a^9\,b^2\,d^2+160\,B^3\,a^7\,b^4\,d^2-24\,B^3\,a^5\,b^6\,d^2-128\,B^3\,a^3\,b^8\,d^2+52\,B^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2+84\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2-88\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2+68\,B^2\,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{\left(\frac{8\,\left(64\,B\,a^{12}\,b^3\,d^4+288\,B\,a^{10}\,b^5\,d^4+480\,B\,a^8\,b^7\,d^4+320\,B\,a^6\,b^9\,d^4-96\,B\,a^2\,b^{13}\,d^4-32\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-3\,B^4\,a^2\,b^7+3\,B^4\,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{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{\frac{\left(\frac{\left(\frac{8\,\left(4\,B^3\,a^9\,b^2\,d^2+160\,B^3\,a^7\,b^4\,d^2-24\,B^3\,a^5\,b^6\,d^2-128\,B^3\,a^3\,b^8\,d^2+52\,B^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2+84\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2-88\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2+68\,B^2\,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{\left(\frac{8\,\left(64\,B\,a^{12}\,b^3\,d^4+288\,B\,a^{10}\,b^5\,d^4+480\,B\,a^8\,b^7\,d^4+320\,B\,a^6\,b^9\,d^4-96\,B\,a^2\,b^{13}\,d^4-32\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-3\,B^4\,a^2\,b^7+3\,B^4\,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{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{16\,\left(B^5\,b^7-9\,B^5\,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{\left(\frac{\left(\frac{8\,\left(4\,B^3\,a^9\,b^2\,d^2+160\,B^3\,a^7\,b^4\,d^2-24\,B^3\,a^5\,b^6\,d^2-128\,B^3\,a^3\,b^8\,d^2+52\,B^3\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^2\,d^2+84\,B^2\,a^9\,b^4\,d^2+40\,B^2\,a^7\,b^6\,d^2-88\,B^2\,a^5\,b^8\,d^2+20\,B^2\,a^3\,b^{10}\,d^2+68\,B^2\,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{\left(\frac{8\,\left(64\,B\,a^{12}\,b^3\,d^4+288\,B\,a^{10}\,b^5\,d^4+480\,B\,a^8\,b^7\,d^4+320\,B\,a^6\,b^9\,d^4-96\,B\,a^2\,b^{13}\,d^4-32\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,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)}{\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)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^3+17\,B^4\,a^4\,b^5-3\,B^4\,a^2\,b^7+3\,B^4\,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{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}{4\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\sqrt{-4\,\left(9\,B^2\,a^4\,b-6\,B^2\,a^2\,b^3+B^2\,b^5\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,A^4\,a^6\,b^5+11\,A^4\,a^4\,b^7+7\,A^4\,a^2\,b^9+A^4\,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(\frac{16\,\left(-50\,A^3\,a^8\,b^5\,d^2+120\,A^3\,a^6\,b^7\,d^2+196\,A^3\,a^4\,b^9\,d^2+24\,A^3\,a^2\,b^{11}\,d^2-2\,A^3\,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(\frac{\left(\frac{16\,\left(-8\,A\,a^{15}\,b^2\,d^4+16\,A\,a^{13}\,b^4\,d^4+216\,A\,a^{11}\,b^6\,d^4+560\,A\,a^9\,b^8\,d^4+680\,A\,a^7\,b^{10}\,d^4+432\,A\,a^5\,b^{12}\,d^4+136\,A\,a^3\,b^{14}\,d^4+16\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,A^2\,a^{13}\,b^2\,d^2-12\,A^2\,a^{11}\,b^4\,d^2+256\,A^2\,a^9\,b^6\,d^2+552\,A^2\,a^7\,b^8\,d^2+316\,A^2\,a^5\,b^{10}\,d^2+36\,A^2\,a^3\,b^{12}\,d^2+8\,A^2\,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)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,A^4\,a^6\,b^5+11\,A^4\,a^4\,b^7+7\,A^4\,a^2\,b^9+A^4\,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(\frac{16\,\left(-50\,A^3\,a^8\,b^5\,d^2+120\,A^3\,a^6\,b^7\,d^2+196\,A^3\,a^4\,b^9\,d^2+24\,A^3\,a^2\,b^{11}\,d^2-2\,A^3\,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(\frac{\left(\frac{16\,\left(-8\,A\,a^{15}\,b^2\,d^4+16\,A\,a^{13}\,b^4\,d^4+216\,A\,a^{11}\,b^6\,d^4+560\,A\,a^9\,b^8\,d^4+680\,A\,a^7\,b^{10}\,d^4+432\,A\,a^5\,b^{12}\,d^4+136\,A\,a^3\,b^{14}\,d^4+16\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,A^2\,a^{13}\,b^2\,d^2-12\,A^2\,a^{11}\,b^4\,d^2+256\,A^2\,a^9\,b^6\,d^2+552\,A^2\,a^7\,b^8\,d^2+316\,A^2\,a^5\,b^{10}\,d^2+36\,A^2\,a^3\,b^{12}\,d^2+8\,A^2\,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)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{\frac{32\,\left(5\,A^5\,a^3\,b^6+A^5\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,A^4\,a^6\,b^5+11\,A^4\,a^4\,b^7+7\,A^4\,a^2\,b^9+A^4\,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(\frac{16\,\left(-50\,A^3\,a^8\,b^5\,d^2+120\,A^3\,a^6\,b^7\,d^2+196\,A^3\,a^4\,b^9\,d^2+24\,A^3\,a^2\,b^{11}\,d^2-2\,A^3\,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(\frac{\left(\frac{16\,\left(-8\,A\,a^{15}\,b^2\,d^4+16\,A\,a^{13}\,b^4\,d^4+216\,A\,a^{11}\,b^6\,d^4+560\,A\,a^9\,b^8\,d^4+680\,A\,a^7\,b^{10}\,d^4+432\,A\,a^5\,b^{12}\,d^4+136\,A\,a^3\,b^{14}\,d^4+16\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,A^2\,a^{13}\,b^2\,d^2-12\,A^2\,a^{11}\,b^4\,d^2+256\,A^2\,a^9\,b^6\,d^2+552\,A^2\,a^7\,b^8\,d^2+316\,A^2\,a^5\,b^{10}\,d^2+36\,A^2\,a^3\,b^{12}\,d^2+8\,A^2\,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)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,A^4\,a^6\,b^5+11\,A^4\,a^4\,b^7+7\,A^4\,a^2\,b^9+A^4\,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(\frac{16\,\left(-50\,A^3\,a^8\,b^5\,d^2+120\,A^3\,a^6\,b^7\,d^2+196\,A^3\,a^4\,b^9\,d^2+24\,A^3\,a^2\,b^{11}\,d^2-2\,A^3\,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(\frac{\left(\frac{16\,\left(-8\,A\,a^{15}\,b^2\,d^4+16\,A\,a^{13}\,b^4\,d^4+216\,A\,a^{11}\,b^6\,d^4+560\,A\,a^9\,b^8\,d^4+680\,A\,a^7\,b^{10}\,d^4+432\,A\,a^5\,b^{12}\,d^4+136\,A\,a^3\,b^{14}\,d^4+16\,A\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,A^2\,a^{13}\,b^2\,d^2-12\,A^2\,a^{11}\,b^4\,d^2+256\,A^2\,a^9\,b^6\,d^2+552\,A^2\,a^7\,b^8\,d^2+316\,A^2\,a^5\,b^{10}\,d^2+36\,A^2\,a^3\,b^{12}\,d^2+8\,A^2\,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)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}\right)\,\sqrt{-4\,\left(25\,A^2\,a^4\,b^3+10\,A^2\,a^2\,b^5+A^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}","Not used",1,"(log(- (((((((((256*B*b^3*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 + (log(- (((((((((256*B*b^3*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 - log(- (((((((((256*B*b^3*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log(- (((((((((256*B*b^3*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*A*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*A^3*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*A*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*A^3*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 - log((16*A^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*A*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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))*((4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((16*A^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*A*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*A^2*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*A^3*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*A^4*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))*(-(4*(-A^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (atan(((((((8*(160*B^3*a^7*b^4*d^2 - 24*B^3*a^5*b^6*d^2 - 128*B^3*a^3*b^8*d^2 + 4*B^3*a^9*b^2*d^2 + 52*B^3*a*b^10*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*B^2*a^3*b^10*d^2 - 88*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 + 84*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 + 68*B^2*a*b^12*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) + (((8*(320*B*a^6*b^9*d^4 - 96*B*a^2*b^13*d^4 - 32*B*b^15*d^4 + 480*B*a^8*b^7*d^4 + 288*B*a^10*b^5*d^4 + 64*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(3*B^4*b^9 - 3*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 9*B^4*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))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*1i)/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (((((8*(160*B^3*a^7*b^4*d^2 - 24*B^3*a^5*b^6*d^2 - 128*B^3*a^3*b^8*d^2 + 4*B^3*a^9*b^2*d^2 + 52*B^3*a*b^10*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*B^2*a^3*b^10*d^2 - 88*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 + 84*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 + 68*B^2*a*b^12*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) - (((8*(320*B*a^6*b^9*d^4 - 96*B*a^2*b^13*d^4 - 32*B*b^15*d^4 + 480*B*a^8*b^7*d^4 + 288*B*a^10*b^5*d^4 + 64*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(3*B^4*b^9 - 3*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 9*B^4*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))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*1i)/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))/((((((8*(160*B^3*a^7*b^4*d^2 - 24*B^3*a^5*b^6*d^2 - 128*B^3*a^3*b^8*d^2 + 4*B^3*a^9*b^2*d^2 + 52*B^3*a*b^10*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*B^2*a^3*b^10*d^2 - 88*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 + 84*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 + 68*B^2*a*b^12*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) + (((8*(320*B*a^6*b^9*d^4 - 96*B*a^2*b^13*d^4 - 32*B*b^15*d^4 + 480*B*a^8*b^7*d^4 + 288*B*a^10*b^5*d^4 + 64*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(3*B^4*b^9 - 3*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 9*B^4*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))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (16*(B^5*b^7 - 9*B^5*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) + (((((8*(160*B^3*a^7*b^4*d^2 - 24*B^3*a^5*b^6*d^2 - 128*B^3*a^3*b^8*d^2 + 4*B^3*a^9*b^2*d^2 + 52*B^3*a*b^10*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*B^2*a^3*b^10*d^2 - 88*B^2*a^5*b^8*d^2 + 40*B^2*a^7*b^6*d^2 + 84*B^2*a^9*b^4*d^2 + 4*B^2*a^11*b^2*d^2 + 68*B^2*a*b^12*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) - (((8*(320*B*a^6*b^9*d^4 - 96*B*a^2*b^13*d^4 - 32*B*b^15*d^4 + 480*B*a^8*b^7*d^4 + 288*B*a^10*b^5*d^4 + 64*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*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)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(3*B^4*b^9 - 3*B^4*a^2*b^7 + 17*B^4*a^4*b^5 - 9*B^4*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))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))/(4*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))))*(-4*(B^2*b^5 + 9*B^2*a^4*b - 6*B^2*a^2*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*1i)/(2*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2)) - (atan(((((16*tan(c + d*x)^(1/2)*(A^4*b^11 + 7*A^4*a^2*b^9 + 11*A^4*a^4*b^7 - 27*A^4*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) + (((16*(24*A^3*a^2*b^11*d^2 - 2*A^3*b^13*d^2 + 196*A^3*a^4*b^9*d^2 + 120*A^3*a^6*b^7*d^2 - 50*A^3*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*(16*A*a*b^16*d^4 + 136*A*a^3*b^14*d^4 + 432*A*a^5*b^12*d^4 + 680*A*a^7*b^10*d^4 + 560*A*a^9*b^8*d^4 + 216*A*a^11*b^6*d^4 + 16*A*a^13*b^4*d^4 - 8*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(36*A^2*a^3*b^12*d^2 + 316*A^2*a^5*b^10*d^2 + 552*A^2*a^7*b^8*d^2 + 256*A^2*a^9*b^6*d^2 - 12*A^2*a^11*b^4*d^2 - 4*A^2*a^13*b^2*d^2 + 8*A^2*a*b^14*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))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + (((16*tan(c + d*x)^(1/2)*(A^4*b^11 + 7*A^4*a^2*b^9 + 11*A^4*a^4*b^7 - 27*A^4*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) - (((16*(24*A^3*a^2*b^11*d^2 - 2*A^3*b^13*d^2 + 196*A^3*a^4*b^9*d^2 + 120*A^3*a^6*b^7*d^2 - 50*A^3*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*(16*A*a*b^16*d^4 + 136*A*a^3*b^14*d^4 + 432*A*a^5*b^12*d^4 + 680*A*a^7*b^10*d^4 + 560*A*a^9*b^8*d^4 + 216*A*a^11*b^6*d^4 + 16*A*a^13*b^4*d^4 - 8*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(36*A^2*a^3*b^12*d^2 + 316*A^2*a^5*b^10*d^2 + 552*A^2*a^7*b^8*d^2 + 256*A^2*a^9*b^6*d^2 - 12*A^2*a^11*b^4*d^2 - 4*A^2*a^13*b^2*d^2 + 8*A^2*a*b^14*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))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))/((32*(A^5*a*b^8 + 5*A^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) + (((16*tan(c + d*x)^(1/2)*(A^4*b^11 + 7*A^4*a^2*b^9 + 11*A^4*a^4*b^7 - 27*A^4*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) + (((16*(24*A^3*a^2*b^11*d^2 - 2*A^3*b^13*d^2 + 196*A^3*a^4*b^9*d^2 + 120*A^3*a^6*b^7*d^2 - 50*A^3*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*(16*A*a*b^16*d^4 + 136*A*a^3*b^14*d^4 + 432*A*a^5*b^12*d^4 + 680*A*a^7*b^10*d^4 + 560*A*a^9*b^8*d^4 + 216*A*a^11*b^6*d^4 + 16*A*a^13*b^4*d^4 - 8*A*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) - (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(36*A^2*a^3*b^12*d^2 + 316*A^2*a^5*b^10*d^2 + 552*A^2*a^7*b^8*d^2 + 256*A^2*a^9*b^6*d^2 - 12*A^2*a^11*b^4*d^2 - 4*A^2*a^13*b^2*d^2 + 8*A^2*a*b^14*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))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - (((16*tan(c + d*x)^(1/2)*(A^4*b^11 + 7*A^4*a^2*b^9 + 11*A^4*a^4*b^7 - 27*A^4*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) - (((16*(24*A^3*a^2*b^11*d^2 - 2*A^3*b^13*d^2 + 196*A^3*a^4*b^9*d^2 + 120*A^3*a^6*b^7*d^2 - 50*A^3*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*(16*A*a*b^16*d^4 + 136*A*a^3*b^14*d^4 + 432*A*a^5*b^12*d^4 + 680*A*a^7*b^10*d^4 + 560*A*a^9*b^8*d^4 + 216*A*a^11*b^6*d^4 + 16*A*a^13*b^4*d^4 - 8*A*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) + (4*tan(c + d*x)^(1/2)*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(36*A^2*a^3*b^12*d^2 + 316*A^2*a^5*b^10*d^2 + 552*A^2*a^7*b^8*d^2 + 256*A^2*a^9*b^6*d^2 - 12*A^2*a^11*b^4*d^2 - 4*A^2*a^13*b^2*d^2 + 8*A^2*a*b^14*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))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))))*(-4*(A^2*b^7 + 10*A^2*a^2*b^5 + 25*A^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(2*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - (B*b*tan(c + d*x)^(1/2))/((a*d + b*d*tan(c + d*x))*(a^2 + b^2)) + (A*b^2*tan(c + d*x)^(1/2))/(a*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
408,1,22667,439,25.689988,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2),x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\frac{16\,B^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{16\,B^5\,b^6\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(72\,A^5\,a^{14}\,b^{21}\,d^4-\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)-\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)-\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\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}+768\,A\,a^{16}\,b^{27}\,d^8+8704\,A\,a^{18}\,b^{25}\,d^8+44288\,A\,a^{20}\,b^{23}\,d^8+133120\,A\,a^{22}\,b^{21}\,d^8+261120\,A\,a^{24}\,b^{19}\,d^8+347136\,A\,a^{26}\,b^{17}\,d^8+311808\,A\,a^{28}\,b^{15}\,d^8+178176\,A\,a^{30}\,b^{13}\,d^8+49920\,A\,a^{32}\,b^{11}\,d^8-7680\,A\,a^{34}\,b^9\,d^8-12032\,A\,a^{36}\,b^7\,d^8-4096\,A\,a^{38}\,b^5\,d^8-512\,A\,a^{40}\,b^3\,d^8\right)}{4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}-1152\,A^3\,a^{15}\,b^{24}\,d^6-8448\,A^3\,a^{17}\,b^{22}\,d^6-23776\,A^3\,a^{19}\,b^{20}\,d^6-29664\,A^3\,a^{21}\,b^{18}\,d^6-6528\,A^3\,a^{23}\,b^{16}\,d^6+26496\,A^3\,a^{25}\,b^{14}\,d^6+33984\,A^3\,a^{27}\,b^{12}\,d^6+18624\,A^3\,a^{29}\,b^{10}\,d^6+5376\,A^3\,a^{31}\,b^8\,d^6+1152\,A^3\,a^{33}\,b^6\,d^6+288\,A^3\,a^{35}\,b^4\,d^6+32\,A^3\,a^{37}\,b^2\,d^6\right)}{4}\right)}{4}+648\,A^5\,a^{16}\,b^{19}\,d^4+2440\,A^5\,a^{18}\,b^{17}\,d^4+5000\,A^5\,a^{20}\,b^{15}\,d^4+6040\,A^5\,a^{22}\,b^{13}\,d^4+4312\,A^5\,a^{24}\,b^{11}\,d^4+1688\,A^5\,a^{26}\,b^9\,d^4+280\,A^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(72\,A^5\,a^{14}\,b^{21}\,d^4-\frac{\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)-\frac{\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)-\frac{\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\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}+768\,A\,a^{16}\,b^{27}\,d^8+8704\,A\,a^{18}\,b^{25}\,d^8+44288\,A\,a^{20}\,b^{23}\,d^8+133120\,A\,a^{22}\,b^{21}\,d^8+261120\,A\,a^{24}\,b^{19}\,d^8+347136\,A\,a^{26}\,b^{17}\,d^8+311808\,A\,a^{28}\,b^{15}\,d^8+178176\,A\,a^{30}\,b^{13}\,d^8+49920\,A\,a^{32}\,b^{11}\,d^8-7680\,A\,a^{34}\,b^9\,d^8-12032\,A\,a^{36}\,b^7\,d^8-4096\,A\,a^{38}\,b^5\,d^8-512\,A\,a^{40}\,b^3\,d^8\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}-1152\,A^3\,a^{15}\,b^{24}\,d^6-8448\,A^3\,a^{17}\,b^{22}\,d^6-23776\,A^3\,a^{19}\,b^{20}\,d^6-29664\,A^3\,a^{21}\,b^{18}\,d^6-6528\,A^3\,a^{23}\,b^{16}\,d^6+26496\,A^3\,a^{25}\,b^{14}\,d^6+33984\,A^3\,a^{27}\,b^{12}\,d^6+18624\,A^3\,a^{29}\,b^{10}\,d^6+5376\,A^3\,a^{31}\,b^8\,d^6+1152\,A^3\,a^{33}\,b^6\,d^6+288\,A^3\,a^{35}\,b^4\,d^6+32\,A^3\,a^{37}\,b^2\,d^6\right)}{4}\right)}{4}+648\,A^5\,a^{16}\,b^{19}\,d^4+2440\,A^5\,a^{18}\,b^{17}\,d^4+5000\,A^5\,a^{20}\,b^{15}\,d^4+6040\,A^5\,a^{22}\,b^{13}\,d^4+4312\,A^5\,a^{24}\,b^{11}\,d^4+1688\,A^5\,a^{26}\,b^9\,d^4+280\,A^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)+\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(26496\,A^3\,a^{25}\,b^{14}\,d^6-1152\,A^3\,a^{15}\,b^{24}\,d^6-8448\,A^3\,a^{17}\,b^{22}\,d^6-23776\,A^3\,a^{19}\,b^{20}\,d^6-29664\,A^3\,a^{21}\,b^{18}\,d^6-6528\,A^3\,a^{23}\,b^{16}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)+\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(768\,A\,a^{16}\,b^{27}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\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)+8704\,A\,a^{18}\,b^{25}\,d^8+44288\,A\,a^{20}\,b^{23}\,d^8+133120\,A\,a^{22}\,b^{21}\,d^8+261120\,A\,a^{24}\,b^{19}\,d^8+347136\,A\,a^{26}\,b^{17}\,d^8+311808\,A\,a^{28}\,b^{15}\,d^8+178176\,A\,a^{30}\,b^{13}\,d^8+49920\,A\,a^{32}\,b^{11}\,d^8-7680\,A\,a^{34}\,b^9\,d^8-12032\,A\,a^{36}\,b^7\,d^8-4096\,A\,a^{38}\,b^5\,d^8-512\,A\,a^{40}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+33984\,A^3\,a^{27}\,b^{12}\,d^6+18624\,A^3\,a^{29}\,b^{10}\,d^6+5376\,A^3\,a^{31}\,b^8\,d^6+1152\,A^3\,a^{33}\,b^6\,d^6+288\,A^3\,a^{35}\,b^4\,d^6+32\,A^3\,a^{37}\,b^2\,d^6\right)\right)+72\,A^5\,a^{14}\,b^{21}\,d^4+648\,A^5\,a^{16}\,b^{19}\,d^4+2440\,A^5\,a^{18}\,b^{17}\,d^4+5000\,A^5\,a^{20}\,b^{15}\,d^4+6040\,A^5\,a^{22}\,b^{13}\,d^4+4312\,A^5\,a^{24}\,b^{11}\,d^4+1688\,A^5\,a^{26}\,b^9\,d^4+280\,A^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)+\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(26496\,A^3\,a^{25}\,b^{14}\,d^6-1152\,A^3\,a^{15}\,b^{24}\,d^6-8448\,A^3\,a^{17}\,b^{22}\,d^6-23776\,A^3\,a^{19}\,b^{20}\,d^6-29664\,A^3\,a^{21}\,b^{18}\,d^6-6528\,A^3\,a^{23}\,b^{16}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)+\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(768\,A\,a^{16}\,b^{27}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\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)+8704\,A\,a^{18}\,b^{25}\,d^8+44288\,A\,a^{20}\,b^{23}\,d^8+133120\,A\,a^{22}\,b^{21}\,d^8+261120\,A\,a^{24}\,b^{19}\,d^8+347136\,A\,a^{26}\,b^{17}\,d^8+311808\,A\,a^{28}\,b^{15}\,d^8+178176\,A\,a^{30}\,b^{13}\,d^8+49920\,A\,a^{32}\,b^{11}\,d^8-7680\,A\,a^{34}\,b^9\,d^8-12032\,A\,a^{36}\,b^7\,d^8-4096\,A\,a^{38}\,b^5\,d^8-512\,A\,a^{40}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+33984\,A^3\,a^{27}\,b^{12}\,d^6+18624\,A^3\,a^{29}\,b^{10}\,d^6+5376\,A^3\,a^{31}\,b^8\,d^6+1152\,A^3\,a^{33}\,b^6\,d^6+288\,A^3\,a^{35}\,b^4\,d^6+32\,A^3\,a^{37}\,b^2\,d^6\right)\right)+72\,A^5\,a^{14}\,b^{21}\,d^4+648\,A^5\,a^{16}\,b^{19}\,d^4+2440\,A^5\,a^{18}\,b^{17}\,d^4+5000\,A^5\,a^{20}\,b^{15}\,d^4+6040\,A^5\,a^{22}\,b^{13}\,d^4+4312\,A^5\,a^{24}\,b^{11}\,d^4+1688\,A^5\,a^{26}\,b^9\,d^4+280\,A^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\frac{\frac{2\,A}{a}+\frac{A\,\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{B\,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)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)}{4}+\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(6624\,A^3\,a^{25}\,b^{14}\,d^6-288\,A^3\,a^{15}\,b^{24}\,d^6-2112\,A^3\,a^{17}\,b^{22}\,d^6-5944\,A^3\,a^{19}\,b^{20}\,d^6-7416\,A^3\,a^{21}\,b^{18}\,d^6-1632\,A^3\,a^{23}\,b^{16}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)}{4}+\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(192\,A\,a^{16}\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+2176\,A\,a^{18}\,b^{25}\,d^8+11072\,A\,a^{20}\,b^{23}\,d^8+33280\,A\,a^{22}\,b^{21}\,d^8+65280\,A\,a^{24}\,b^{19}\,d^8+86784\,A\,a^{26}\,b^{17}\,d^8+77952\,A\,a^{28}\,b^{15}\,d^8+44544\,A\,a^{30}\,b^{13}\,d^8+12480\,A\,a^{32}\,b^{11}\,d^8-1920\,A\,a^{34}\,b^9\,d^8-3008\,A\,a^{36}\,b^7\,d^8-1024\,A\,a^{38}\,b^5\,d^8-128\,A\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+8496\,A^3\,a^{27}\,b^{12}\,d^6+4656\,A^3\,a^{29}\,b^{10}\,d^6+1344\,A^3\,a^{31}\,b^8\,d^6+288\,A^3\,a^{33}\,b^6\,d^6+72\,A^3\,a^{35}\,b^4\,d^6+8\,A^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)}{4}-\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)}{4}-\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+192\,A\,a^{16}\,b^{27}\,d^8+2176\,A\,a^{18}\,b^{25}\,d^8+11072\,A\,a^{20}\,b^{23}\,d^8+33280\,A\,a^{22}\,b^{21}\,d^8+65280\,A\,a^{24}\,b^{19}\,d^8+86784\,A\,a^{26}\,b^{17}\,d^8+77952\,A\,a^{28}\,b^{15}\,d^8+44544\,A\,a^{30}\,b^{13}\,d^8+12480\,A\,a^{32}\,b^{11}\,d^8-1920\,A\,a^{34}\,b^9\,d^8-3008\,A\,a^{36}\,b^7\,d^8-1024\,A\,a^{38}\,b^5\,d^8-128\,A\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}-288\,A^3\,a^{15}\,b^{24}\,d^6-2112\,A^3\,a^{17}\,b^{22}\,d^6-5944\,A^3\,a^{19}\,b^{20}\,d^6-7416\,A^3\,a^{21}\,b^{18}\,d^6-1632\,A^3\,a^{23}\,b^{16}\,d^6+6624\,A^3\,a^{25}\,b^{14}\,d^6+8496\,A^3\,a^{27}\,b^{12}\,d^6+4656\,A^3\,a^{29}\,b^{10}\,d^6+1344\,A^3\,a^{31}\,b^8\,d^6+288\,A^3\,a^{33}\,b^6\,d^6+72\,A^3\,a^{35}\,b^4\,d^6+8\,A^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}}{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)}{4}+\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(6624\,A^3\,a^{25}\,b^{14}\,d^6-288\,A^3\,a^{15}\,b^{24}\,d^6-2112\,A^3\,a^{17}\,b^{22}\,d^6-5944\,A^3\,a^{19}\,b^{20}\,d^6-7416\,A^3\,a^{21}\,b^{18}\,d^6-1632\,A^3\,a^{23}\,b^{16}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)}{4}+\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(192\,A\,a^{16}\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+2176\,A\,a^{18}\,b^{25}\,d^8+11072\,A\,a^{20}\,b^{23}\,d^8+33280\,A\,a^{22}\,b^{21}\,d^8+65280\,A\,a^{24}\,b^{19}\,d^8+86784\,A\,a^{26}\,b^{17}\,d^8+77952\,A\,a^{28}\,b^{15}\,d^8+44544\,A\,a^{30}\,b^{13}\,d^8+12480\,A\,a^{32}\,b^{11}\,d^8-1920\,A\,a^{34}\,b^9\,d^8-3008\,A\,a^{36}\,b^7\,d^8-1024\,A\,a^{38}\,b^5\,d^8-128\,A\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+8496\,A^3\,a^{27}\,b^{12}\,d^6+4656\,A^3\,a^{29}\,b^{10}\,d^6+1344\,A^3\,a^{31}\,b^8\,d^6+288\,A^3\,a^{33}\,b^6\,d^6+72\,A^3\,a^{35}\,b^4\,d^6+8\,A^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{32}\,b^5\,d^5-560\,A^4\,a^{30}\,b^7\,d^5-3136\,A^4\,a^{28}\,b^9\,d^5-5632\,A^4\,a^{26}\,b^{11}\,d^5-2816\,A^4\,a^{24}\,b^{13}\,d^5+3872\,A^4\,a^{22}\,b^{15}\,d^5+6720\,A^4\,a^{20}\,b^{17}\,d^5+4224\,A^4\,a^{18}\,b^{19}\,d^5+1248\,A^4\,a^{16}\,b^{21}\,d^5+144\,A^4\,a^{14}\,b^{23}\,d^5\right)}{4}-\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{39}\,b^2\,d^7+512\,A^2\,a^{37}\,b^4\,d^7+704\,A^2\,a^{35}\,b^6\,d^7+3200\,A^2\,a^{33}\,b^8\,d^7+37632\,A^2\,a^{31}\,b^{10}\,d^7+156160\,A^2\,a^{29}\,b^{12}\,d^7+337792\,A^2\,a^{27}\,b^{14}\,d^7+443136\,A^2\,a^{25}\,b^{16}\,d^7+372800\,A^2\,a^{23}\,b^{18}\,d^7+202752\,A^2\,a^{21}\,b^{20}\,d^7+69056\,A^2\,a^{19}\,b^{22}\,d^7+13440\,A^2\,a^{17}\,b^{24}\,d^7+1152\,A^2\,a^{15}\,b^{26}\,d^7\right)}{4}-\frac{\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+192\,A\,a^{16}\,b^{27}\,d^8+2176\,A\,a^{18}\,b^{25}\,d^8+11072\,A\,a^{20}\,b^{23}\,d^8+33280\,A\,a^{22}\,b^{21}\,d^8+65280\,A\,a^{24}\,b^{19}\,d^8+86784\,A\,a^{26}\,b^{17}\,d^8+77952\,A\,a^{28}\,b^{15}\,d^8+44544\,A\,a^{30}\,b^{13}\,d^8+12480\,A\,a^{32}\,b^{11}\,d^8-1920\,A\,a^{34}\,b^9\,d^8-3008\,A\,a^{36}\,b^7\,d^8-1024\,A\,a^{38}\,b^5\,d^8-128\,A\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}-288\,A^3\,a^{15}\,b^{24}\,d^6-2112\,A^3\,a^{17}\,b^{22}\,d^6-5944\,A^3\,a^{19}\,b^{20}\,d^6-7416\,A^3\,a^{21}\,b^{18}\,d^6-1632\,A^3\,a^{23}\,b^{16}\,d^6+6624\,A^3\,a^{25}\,b^{14}\,d^6+8496\,A^3\,a^{27}\,b^{12}\,d^6+4656\,A^3\,a^{29}\,b^{10}\,d^6+1344\,A^3\,a^{31}\,b^8\,d^6+288\,A^3\,a^{33}\,b^6\,d^6+72\,A^3\,a^{35}\,b^4\,d^6+8\,A^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}+144\,A^5\,a^{14}\,b^{21}\,d^4+1296\,A^5\,a^{16}\,b^{19}\,d^4+4880\,A^5\,a^{18}\,b^{17}\,d^4+10000\,A^5\,a^{20}\,b^{15}\,d^4+12080\,A^5\,a^{22}\,b^{13}\,d^4+8624\,A^5\,a^{24}\,b^{11}\,d^4+3376\,A^5\,a^{26}\,b^9\,d^4+560\,A^5\,a^{28}\,b^7\,d^4}\right)\,\sqrt{-4\,\left(49\,A^2\,a^4\,b^5+42\,A^2\,a^2\,b^7+9\,A^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^5+11\,B^4\,a^4\,b^7+7\,B^4\,a^2\,b^9+B^4\,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(\frac{16\,\left(-50\,B^3\,a^8\,b^5\,d^2+120\,B^3\,a^6\,b^7\,d^2+196\,B^3\,a^4\,b^9\,d^2+24\,B^3\,a^2\,b^{11}\,d^2-2\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^2\,d^4+16\,B\,a^{13}\,b^4\,d^4+216\,B\,a^{11}\,b^6\,d^4+560\,B\,a^9\,b^8\,d^4+680\,B\,a^7\,b^{10}\,d^4+432\,B\,a^5\,b^{12}\,d^4+136\,B\,a^3\,b^{14}\,d^4+16\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^5+11\,B^4\,a^4\,b^7+7\,B^4\,a^2\,b^9+B^4\,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(\frac{16\,\left(-50\,B^3\,a^8\,b^5\,d^2+120\,B^3\,a^6\,b^7\,d^2+196\,B^3\,a^4\,b^9\,d^2+24\,B^3\,a^2\,b^{11}\,d^2-2\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^2\,d^4+16\,B\,a^{13}\,b^4\,d^4+216\,B\,a^{11}\,b^6\,d^4+560\,B\,a^9\,b^8\,d^4+680\,B\,a^7\,b^{10}\,d^4+432\,B\,a^5\,b^{12}\,d^4+136\,B\,a^3\,b^{14}\,d^4+16\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{\frac{32\,\left(5\,B^5\,a^3\,b^6+B^5\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^5+11\,B^4\,a^4\,b^7+7\,B^4\,a^2\,b^9+B^4\,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(\frac{16\,\left(-50\,B^3\,a^8\,b^5\,d^2+120\,B^3\,a^6\,b^7\,d^2+196\,B^3\,a^4\,b^9\,d^2+24\,B^3\,a^2\,b^{11}\,d^2-2\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^2\,d^4+16\,B\,a^{13}\,b^4\,d^4+216\,B\,a^{11}\,b^6\,d^4+560\,B\,a^9\,b^8\,d^4+680\,B\,a^7\,b^{10}\,d^4+432\,B\,a^5\,b^{12}\,d^4+136\,B\,a^3\,b^{14}\,d^4+16\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^5+11\,B^4\,a^4\,b^7+7\,B^4\,a^2\,b^9+B^4\,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(\frac{16\,\left(-50\,B^3\,a^8\,b^5\,d^2+120\,B^3\,a^6\,b^7\,d^2+196\,B^3\,a^4\,b^9\,d^2+24\,B^3\,a^2\,b^{11}\,d^2-2\,B^3\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^2\,d^4+16\,B\,a^{13}\,b^4\,d^4+216\,B\,a^{11}\,b^6\,d^4+560\,B\,a^9\,b^8\,d^4+680\,B\,a^7\,b^{10}\,d^4+432\,B\,a^5\,b^{12}\,d^4+136\,B\,a^3\,b^{14}\,d^4+16\,B\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}","Not used",1,"(log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 - log((16*B^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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))*((4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((16*B^5*b^6*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*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))*(-(4*(-B^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(72*A^5*a^14*b^21*d^4 - ((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*(tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5) - ((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*(((tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7) - ((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*((tan(c + d*x)^(1/2)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*(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 + 768*A*a^16*b^27*d^8 + 8704*A*a^18*b^25*d^8 + 44288*A*a^20*b^23*d^8 + 133120*A*a^22*b^21*d^8 + 261120*A*a^24*b^19*d^8 + 347136*A*a^26*b^17*d^8 + 311808*A*a^28*b^15*d^8 + 178176*A*a^30*b^13*d^8 + 49920*A*a^32*b^11*d^8 - 7680*A*a^34*b^9*d^8 - 12032*A*a^36*b^7*d^8 - 4096*A*a^38*b^5*d^8 - 512*A*a^40*b^3*d^8))/4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 - 1152*A^3*a^15*b^24*d^6 - 8448*A^3*a^17*b^22*d^6 - 23776*A^3*a^19*b^20*d^6 - 29664*A^3*a^21*b^18*d^6 - 6528*A^3*a^23*b^16*d^6 + 26496*A^3*a^25*b^14*d^6 + 33984*A^3*a^27*b^12*d^6 + 18624*A^3*a^29*b^10*d^6 + 5376*A^3*a^31*b^8*d^6 + 1152*A^3*a^33*b^6*d^6 + 288*A^3*a^35*b^4*d^6 + 32*A^3*a^37*b^2*d^6))/4))/4 + 648*A^5*a^16*b^19*d^4 + 2440*A^5*a^18*b^17*d^4 + 5000*A^5*a^20*b^15*d^4 + 6040*A^5*a^22*b^13*d^4 + 4312*A^5*a^24*b^11*d^4 + 1688*A^5*a^26*b^9*d^4 + 280*A^5*a^28*b^7*d^4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 + (log(72*A^5*a^14*b^21*d^4 - ((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*(tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5) - ((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*(((tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7) - ((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*((tan(c + d*x)^(1/2)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*(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 + 768*A*a^16*b^27*d^8 + 8704*A*a^18*b^25*d^8 + 44288*A*a^20*b^23*d^8 + 133120*A*a^22*b^21*d^8 + 261120*A*a^24*b^19*d^8 + 347136*A*a^26*b^17*d^8 + 311808*A*a^28*b^15*d^8 + 178176*A*a^30*b^13*d^8 + 49920*A*a^32*b^11*d^8 - 7680*A*a^34*b^9*d^8 - 12032*A*a^36*b^7*d^8 - 4096*A*a^38*b^5*d^8 - 512*A*a^40*b^3*d^8))/4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 - 1152*A^3*a^15*b^24*d^6 - 8448*A^3*a^17*b^22*d^6 - 23776*A^3*a^19*b^20*d^6 - 29664*A^3*a^21*b^18*d^6 - 6528*A^3*a^23*b^16*d^6 + 26496*A^3*a^25*b^14*d^6 + 33984*A^3*a^27*b^12*d^6 + 18624*A^3*a^29*b^10*d^6 + 5376*A^3*a^31*b^8*d^6 + 1152*A^3*a^33*b^6*d^6 + 288*A^3*a^35*b^4*d^6 + 32*A^3*a^37*b^2*d^6))/4))/4 + 648*A^5*a^16*b^19*d^4 + 2440*A^5*a^18*b^17*d^4 + 5000*A^5*a^20*b^15*d^4 + 6040*A^5*a^22*b^13*d^4 + 4312*A^5*a^24*b^11*d^4 + 1688*A^5*a^26*b^9*d^4 + 280*A^5*a^28*b^7*d^4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 - log((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5) + (((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(26496*A^3*a^25*b^14*d^6 - 1152*A^3*a^15*b^24*d^6 - 8448*A^3*a^17*b^22*d^6 - 23776*A^3*a^19*b^20*d^6 - 29664*A^3*a^21*b^18*d^6 - 6528*A^3*a^23*b^16*d^6 - (tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7) + (((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(768*A*a^16*b^27*d^8 - tan(c + d*x)^(1/2)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(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) + 8704*A*a^18*b^25*d^8 + 44288*A*a^20*b^23*d^8 + 133120*A*a^22*b^21*d^8 + 261120*A*a^24*b^19*d^8 + 347136*A*a^26*b^17*d^8 + 311808*A*a^28*b^15*d^8 + 178176*A*a^30*b^13*d^8 + 49920*A*a^32*b^11*d^8 - 7680*A*a^34*b^9*d^8 - 12032*A*a^36*b^7*d^8 - 4096*A*a^38*b^5*d^8 - 512*A*a^40*b^3*d^8))*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 33984*A^3*a^27*b^12*d^6 + 18624*A^3*a^29*b^10*d^6 + 5376*A^3*a^31*b^8*d^6 + 1152*A^3*a^33*b^6*d^6 + 288*A^3*a^35*b^4*d^6 + 32*A^3*a^37*b^2*d^6)) + 72*A^5*a^14*b^21*d^4 + 648*A^5*a^16*b^19*d^4 + 2440*A^5*a^18*b^17*d^4 + 5000*A^5*a^20*b^15*d^4 + 6040*A^5*a^22*b^13*d^4 + 4312*A^5*a^24*b^11*d^4 + 1688*A^5*a^26*b^9*d^4 + 280*A^5*a^28*b^7*d^4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5) + (-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(26496*A^3*a^25*b^14*d^6 - 1152*A^3*a^15*b^24*d^6 - 8448*A^3*a^17*b^22*d^6 - 23776*A^3*a^19*b^20*d^6 - 29664*A^3*a^21*b^18*d^6 - 6528*A^3*a^23*b^16*d^6 - (tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7) + (-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(768*A*a^16*b^27*d^8 - tan(c + d*x)^(1/2)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(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) + 8704*A*a^18*b^25*d^8 + 44288*A*a^20*b^23*d^8 + 133120*A*a^22*b^21*d^8 + 261120*A*a^24*b^19*d^8 + 347136*A*a^26*b^17*d^8 + 311808*A*a^28*b^15*d^8 + 178176*A*a^30*b^13*d^8 + 49920*A*a^32*b^11*d^8 - 7680*A*a^34*b^9*d^8 - 12032*A*a^36*b^7*d^8 - 4096*A*a^38*b^5*d^8 - 512*A*a^40*b^3*d^8))*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 33984*A^3*a^27*b^12*d^6 + 18624*A^3*a^29*b^10*d^6 + 5376*A^3*a^31*b^8*d^6 + 1152*A^3*a^33*b^6*d^6 + 288*A^3*a^35*b^4*d^6 + 32*A^3*a^37*b^2*d^6)) + 72*A^5*a^14*b^21*d^4 + 648*A^5*a^16*b^19*d^4 + 2440*A^5*a^18*b^17*d^4 + 5000*A^5*a^20*b^15*d^4 + 6040*A^5*a^22*b^13*d^4 + 4312*A^5*a^24*b^11*d^4 + 1688*A^5*a^26*b^9*d^4 + 280*A^5*a^28*b^7*d^4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - ((2*A)/a + (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(((((tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5))/4 + ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(6624*A^3*a^25*b^14*d^6 - 288*A^3*a^15*b^24*d^6 - 2112*A^3*a^17*b^22*d^6 - 5944*A^3*a^19*b^20*d^6 - 7416*A^3*a^21*b^18*d^6 - 1632*A^3*a^23*b^16*d^6 - (((tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7))/4 + ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(192*A*a^16*b^27*d^8 - (tan(c + d*x)^(1/2)*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 2176*A*a^18*b^25*d^8 + 11072*A*a^20*b^23*d^8 + 33280*A*a^22*b^21*d^8 + 65280*A*a^24*b^19*d^8 + 86784*A*a^26*b^17*d^8 + 77952*A*a^28*b^15*d^8 + 44544*A*a^30*b^13*d^8 + 12480*A*a^32*b^11*d^8 - 1920*A*a^34*b^9*d^8 - 3008*A*a^36*b^7*d^8 - 1024*A*a^38*b^5*d^8 - 128*A*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 8496*A^3*a^27*b^12*d^6 + 4656*A^3*a^29*b^10*d^6 + 1344*A^3*a^31*b^8*d^6 + 288*A^3*a^33*b^6*d^6 + 72*A^3*a^35*b^4*d^6 + 8*A^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*1i)/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2) + (((tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5))/4 - ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7))/4 - ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 192*A*a^16*b^27*d^8 + 2176*A*a^18*b^25*d^8 + 11072*A*a^20*b^23*d^8 + 33280*A*a^22*b^21*d^8 + 65280*A*a^24*b^19*d^8 + 86784*A*a^26*b^17*d^8 + 77952*A*a^28*b^15*d^8 + 44544*A*a^30*b^13*d^8 + 12480*A*a^32*b^11*d^8 - 1920*A*a^34*b^9*d^8 - 3008*A*a^36*b^7*d^8 - 1024*A*a^38*b^5*d^8 - 128*A*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) - 288*A^3*a^15*b^24*d^6 - 2112*A^3*a^17*b^22*d^6 - 5944*A^3*a^19*b^20*d^6 - 7416*A^3*a^21*b^18*d^6 - 1632*A^3*a^23*b^16*d^6 + 6624*A^3*a^25*b^14*d^6 + 8496*A^3*a^27*b^12*d^6 + 4656*A^3*a^29*b^10*d^6 + 1344*A^3*a^31*b^8*d^6 + 288*A^3*a^33*b^6*d^6 + 72*A^3*a^35*b^4*d^6 + 8*A^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*1i)/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/((((tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5))/4 + ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(6624*A^3*a^25*b^14*d^6 - 288*A^3*a^15*b^24*d^6 - 2112*A^3*a^17*b^22*d^6 - 5944*A^3*a^19*b^20*d^6 - 7416*A^3*a^21*b^18*d^6 - 1632*A^3*a^23*b^16*d^6 - (((tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7))/4 + ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(192*A*a^16*b^27*d^8 - (tan(c + d*x)^(1/2)*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 2176*A*a^18*b^25*d^8 + 11072*A*a^20*b^23*d^8 + 33280*A*a^22*b^21*d^8 + 65280*A*a^24*b^19*d^8 + 86784*A*a^26*b^17*d^8 + 77952*A*a^28*b^15*d^8 + 44544*A*a^30*b^13*d^8 + 12480*A*a^32*b^11*d^8 - 1920*A*a^34*b^9*d^8 - 3008*A*a^36*b^7*d^8 - 1024*A*a^38*b^5*d^8 - 128*A*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 8496*A^3*a^27*b^12*d^6 + 4656*A^3*a^29*b^10*d^6 + 1344*A^3*a^31*b^8*d^6 + 288*A^3*a^33*b^6*d^6 + 72*A^3*a^35*b^4*d^6 + 8*A^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2) - (((tan(c + d*x)^(1/2)*(144*A^4*a^14*b^23*d^5 + 1248*A^4*a^16*b^21*d^5 + 4224*A^4*a^18*b^19*d^5 + 6720*A^4*a^20*b^17*d^5 + 3872*A^4*a^22*b^15*d^5 - 2816*A^4*a^24*b^13*d^5 - 5632*A^4*a^26*b^11*d^5 - 3136*A^4*a^28*b^9*d^5 - 560*A^4*a^30*b^7*d^5 + 32*A^4*a^32*b^5*d^5))/4 - ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(1152*A^2*a^15*b^26*d^7 + 13440*A^2*a^17*b^24*d^7 + 69056*A^2*a^19*b^22*d^7 + 202752*A^2*a^21*b^20*d^7 + 372800*A^2*a^23*b^18*d^7 + 443136*A^2*a^25*b^16*d^7 + 337792*A^2*a^27*b^14*d^7 + 156160*A^2*a^29*b^12*d^7 + 37632*A^2*a^31*b^10*d^7 + 3200*A^2*a^33*b^8*d^7 + 704*A^2*a^35*b^6*d^7 + 512*A^2*a^37*b^4*d^7 + 64*A^2*a^39*b^2*d^7))/4 - ((-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 192*A*a^16*b^27*d^8 + 2176*A*a^18*b^25*d^8 + 11072*A*a^20*b^23*d^8 + 33280*A*a^22*b^21*d^8 + 65280*A*a^24*b^19*d^8 + 86784*A*a^26*b^17*d^8 + 77952*A*a^28*b^15*d^8 + 44544*A*a^30*b^13*d^8 + 12480*A*a^32*b^11*d^8 - 1920*A*a^34*b^9*d^8 - 3008*A*a^36*b^7*d^8 - 1024*A*a^38*b^5*d^8 - 128*A*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) - 288*A^3*a^15*b^24*d^6 - 2112*A^3*a^17*b^22*d^6 - 5944*A^3*a^19*b^20*d^6 - 7416*A^3*a^21*b^18*d^6 - 1632*A^3*a^23*b^16*d^6 + 6624*A^3*a^25*b^14*d^6 + 8496*A^3*a^27*b^12*d^6 + 4656*A^3*a^29*b^10*d^6 + 1344*A^3*a^31*b^8*d^6 + 288*A^3*a^33*b^6*d^6 + 72*A^3*a^35*b^4*d^6 + 8*A^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2) + 144*A^5*a^14*b^21*d^4 + 1296*A^5*a^16*b^19*d^4 + 4880*A^5*a^18*b^17*d^4 + 10000*A^5*a^20*b^15*d^4 + 12080*A^5*a^22*b^13*d^4 + 8624*A^5*a^24*b^11*d^4 + 3376*A^5*a^26*b^9*d^4 + 560*A^5*a^28*b^7*d^4))*(-4*(9*A^2*b^9 + 42*A^2*a^2*b^7 + 49*A^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*1i)/(2*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) - (atan(((((16*tan(c + d*x)^(1/2)*(B^4*b^11 + 7*B^4*a^2*b^9 + 11*B^4*a^4*b^7 - 27*B^4*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) + (((16*(24*B^3*a^2*b^11*d^2 - 2*B^3*b^13*d^2 + 196*B^3*a^4*b^9*d^2 + 120*B^3*a^6*b^7*d^2 - 50*B^3*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*a*b^16*d^4 + 136*B*a^3*b^14*d^4 + 432*B*a^5*b^12*d^4 + 680*B*a^7*b^10*d^4 + 560*B*a^9*b^8*d^4 + 216*B*a^11*b^6*d^4 + 16*B*a^13*b^4*d^4 - 8*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + (((16*tan(c + d*x)^(1/2)*(B^4*b^11 + 7*B^4*a^2*b^9 + 11*B^4*a^4*b^7 - 27*B^4*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) - (((16*(24*B^3*a^2*b^11*d^2 - 2*B^3*b^13*d^2 + 196*B^3*a^4*b^9*d^2 + 120*B^3*a^6*b^7*d^2 - 50*B^3*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*a*b^16*d^4 + 136*B*a^3*b^14*d^4 + 432*B*a^5*b^12*d^4 + 680*B*a^7*b^10*d^4 + 560*B*a^9*b^8*d^4 + 216*B*a^11*b^6*d^4 + 16*B*a^13*b^4*d^4 - 8*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))/((32*(B^5*a*b^8 + 5*B^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) + (((16*tan(c + d*x)^(1/2)*(B^4*b^11 + 7*B^4*a^2*b^9 + 11*B^4*a^4*b^7 - 27*B^4*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) + (((16*(24*B^3*a^2*b^11*d^2 - 2*B^3*b^13*d^2 + 196*B^3*a^4*b^9*d^2 + 120*B^3*a^6*b^7*d^2 - 50*B^3*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*a*b^16*d^4 + 136*B*a^3*b^14*d^4 + 432*B*a^5*b^12*d^4 + 680*B*a^7*b^10*d^4 + 560*B*a^9*b^8*d^4 + 216*B*a^11*b^6*d^4 + 16*B*a^13*b^4*d^4 - 8*B*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - (((16*tan(c + d*x)^(1/2)*(B^4*b^11 + 7*B^4*a^2*b^9 + 11*B^4*a^4*b^7 - 27*B^4*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) - (((16*(24*B^3*a^2*b^11*d^2 - 2*B^3*b^13*d^2 + 196*B^3*a^4*b^9*d^2 + 120*B^3*a^6*b^7*d^2 - 50*B^3*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*a*b^16*d^4 + 136*B*a^3*b^14*d^4 + 432*B*a^5*b^12*d^4 + 680*B*a^7*b^10*d^4 + 560*B*a^9*b^8*d^4 + 216*B*a^11*b^6*d^4 + 16*B*a^13*b^4*d^4 - 8*B*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))))*(-4*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(2*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + (B*b^2*tan(c + d*x)^(1/2))/(a*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
409,1,24620,493,22.901052,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2),x)","\frac{\ln\left(80\,A^5\,a^{24}\,b^{20}\,d^4-\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{41}\,b^5\,d^5+224\,A^4\,a^{39}\,b^7\,d^5+1968\,A^4\,a^{37}\,b^9\,d^5+7744\,A^4\,a^{35}\,b^{11}\,d^5+13760\,A^4\,a^{33}\,b^{13}\,d^5+9472\,A^4\,a^{31}\,b^{15}\,d^5-4256\,A^4\,a^{29}\,b^{17}\,d^5-12352\,A^4\,a^{27}\,b^{19}\,d^5-9056\,A^4\,a^{25}\,b^{21}\,d^5-3040\,A^4\,a^{23}\,b^{23}\,d^5-400\,A^4\,a^{21}\,b^{25}\,d^5\right)+\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\left(12928\,A^3\,a^{25}\,b^{23}\,d^6-800\,A^3\,a^{21}\,b^{27}\,d^6-2080\,A^3\,a^{23}\,b^{25}\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{48}\,b^2\,d^7-512\,A^2\,a^{46}\,b^4\,d^7-704\,A^2\,a^{44}\,b^6\,d^7+3072\,A^2\,a^{42}\,b^8\,d^7+22016\,A^2\,a^{40}\,b^{10}\,d^7+98432\,A^2\,a^{38}\,b^{12}\,d^7+304256\,A^2\,a^{36}\,b^{14}\,d^7+615936\,A^2\,a^{34}\,b^{16}\,d^7+820672\,A^2\,a^{32}\,b^{18}\,d^7+727296\,A^2\,a^{30}\,b^{20}\,d^7+425536\,A^2\,a^{28}\,b^{22}\,d^7+158208\,A^2\,a^{26}\,b^{24}\,d^7+33920\,A^2\,a^{24}\,b^{26}\,d^7+3200\,A^2\,a^{22}\,b^{28}\,d^7\right)+\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\left(1280\,A\,a^{24}\,b^{28}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}\,\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)}{4}+13824\,A\,a^{26}\,b^{26}\,d^8+66944\,A\,a^{28}\,b^{24}\,d^8+190848\,A\,a^{30}\,b^{22}\,d^8+352640\,A\,a^{32}\,b^{20}\,d^8+435840\,A\,a^{34}\,b^{18}\,d^8+354048\,A\,a^{36}\,b^{16}\,d^8+169728\,A\,a^{38}\,b^{14}\,d^8+24576\,A\,a^{40}\,b^{12}\,d^8-21760\,A\,a^{42}\,b^{10}\,d^8-13440\,A\,a^{44}\,b^8\,d^8-2176\,A\,a^{46}\,b^6\,d^8+384\,A\,a^{48}\,b^4\,d^8+128\,A\,a^{50}\,b^2\,d^8\right)}{4}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}+78464\,A^3\,a^{27}\,b^{21}\,d^6+183616\,A^3\,a^{29}\,b^{19}\,d^6+238400\,A^3\,a^{31}\,b^{17}\,d^6+184960\,A^3\,a^{33}\,b^{15}\,d^6+84608\,A^3\,a^{35}\,b^{13}\,d^6+20704\,A^3\,a^{37}\,b^{11}\,d^6+2016\,A^3\,a^{39}\,b^9\,d^6\right)}{4}\right)}{4}+544\,A^5\,a^{26}\,b^{18}\,d^4+1520\,A^5\,a^{28}\,b^{16}\,d^4+2240\,A^5\,a^{30}\,b^{14}\,d^4+1840\,A^5\,a^{32}\,b^{12}\,d^4+800\,A^5\,a^{34}\,b^{10}\,d^4+144\,A^5\,a^{36}\,b^8\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(80\,A^5\,a^{24}\,b^{20}\,d^4-\frac{\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{41}\,b^5\,d^5+224\,A^4\,a^{39}\,b^7\,d^5+1968\,A^4\,a^{37}\,b^9\,d^5+7744\,A^4\,a^{35}\,b^{11}\,d^5+13760\,A^4\,a^{33}\,b^{13}\,d^5+9472\,A^4\,a^{31}\,b^{15}\,d^5-4256\,A^4\,a^{29}\,b^{17}\,d^5-12352\,A^4\,a^{27}\,b^{19}\,d^5-9056\,A^4\,a^{25}\,b^{21}\,d^5-3040\,A^4\,a^{23}\,b^{23}\,d^5-400\,A^4\,a^{21}\,b^{25}\,d^5\right)+\frac{\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\left(12928\,A^3\,a^{25}\,b^{23}\,d^6-800\,A^3\,a^{21}\,b^{27}\,d^6-2080\,A^3\,a^{23}\,b^{25}\,d^6-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{48}\,b^2\,d^7-512\,A^2\,a^{46}\,b^4\,d^7-704\,A^2\,a^{44}\,b^6\,d^7+3072\,A^2\,a^{42}\,b^8\,d^7+22016\,A^2\,a^{40}\,b^{10}\,d^7+98432\,A^2\,a^{38}\,b^{12}\,d^7+304256\,A^2\,a^{36}\,b^{14}\,d^7+615936\,A^2\,a^{34}\,b^{16}\,d^7+820672\,A^2\,a^{32}\,b^{18}\,d^7+727296\,A^2\,a^{30}\,b^{20}\,d^7+425536\,A^2\,a^{28}\,b^{22}\,d^7+158208\,A^2\,a^{26}\,b^{24}\,d^7+33920\,A^2\,a^{24}\,b^{26}\,d^7+3200\,A^2\,a^{22}\,b^{28}\,d^7\right)+\frac{\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\left(1280\,A\,a^{24}\,b^{28}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}\,\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)}{4}+13824\,A\,a^{26}\,b^{26}\,d^8+66944\,A\,a^{28}\,b^{24}\,d^8+190848\,A\,a^{30}\,b^{22}\,d^8+352640\,A\,a^{32}\,b^{20}\,d^8+435840\,A\,a^{34}\,b^{18}\,d^8+354048\,A\,a^{36}\,b^{16}\,d^8+169728\,A\,a^{38}\,b^{14}\,d^8+24576\,A\,a^{40}\,b^{12}\,d^8-21760\,A\,a^{42}\,b^{10}\,d^8-13440\,A\,a^{44}\,b^8\,d^8-2176\,A\,a^{46}\,b^6\,d^8+384\,A\,a^{48}\,b^4\,d^8+128\,A\,a^{50}\,b^2\,d^8\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}+78464\,A^3\,a^{27}\,b^{21}\,d^6+183616\,A^3\,a^{29}\,b^{19}\,d^6+238400\,A^3\,a^{31}\,b^{17}\,d^6+184960\,A^3\,a^{33}\,b^{15}\,d^6+84608\,A^3\,a^{35}\,b^{13}\,d^6+20704\,A^3\,a^{37}\,b^{11}\,d^6+2016\,A^3\,a^{39}\,b^9\,d^6\right)}{4}\right)}{4}+544\,A^5\,a^{26}\,b^{18}\,d^4+1520\,A^5\,a^{28}\,b^{16}\,d^4+2240\,A^5\,a^{30}\,b^{14}\,d^4+1840\,A^5\,a^{32}\,b^{12}\,d^4+800\,A^5\,a^{34}\,b^{10}\,d^4+144\,A^5\,a^{36}\,b^8\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{41}\,b^5\,d^5+224\,A^4\,a^{39}\,b^7\,d^5+1968\,A^4\,a^{37}\,b^9\,d^5+7744\,A^4\,a^{35}\,b^{11}\,d^5+13760\,A^4\,a^{33}\,b^{13}\,d^5+9472\,A^4\,a^{31}\,b^{15}\,d^5-4256\,A^4\,a^{29}\,b^{17}\,d^5-12352\,A^4\,a^{27}\,b^{19}\,d^5-9056\,A^4\,a^{25}\,b^{21}\,d^5-3040\,A^4\,a^{23}\,b^{23}\,d^5-400\,A^4\,a^{21}\,b^{25}\,d^5\right)-\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{48}\,b^2\,d^7-512\,A^2\,a^{46}\,b^4\,d^7-704\,A^2\,a^{44}\,b^6\,d^7+3072\,A^2\,a^{42}\,b^8\,d^7+22016\,A^2\,a^{40}\,b^{10}\,d^7+98432\,A^2\,a^{38}\,b^{12}\,d^7+304256\,A^2\,a^{36}\,b^{14}\,d^7+615936\,A^2\,a^{34}\,b^{16}\,d^7+820672\,A^2\,a^{32}\,b^{18}\,d^7+727296\,A^2\,a^{30}\,b^{20}\,d^7+425536\,A^2\,a^{28}\,b^{22}\,d^7+158208\,A^2\,a^{26}\,b^{24}\,d^7+33920\,A^2\,a^{24}\,b^{26}\,d^7+3200\,A^2\,a^{22}\,b^{28}\,d^7\right)-\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\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)+1280\,A\,a^{24}\,b^{28}\,d^8+13824\,A\,a^{26}\,b^{26}\,d^8+66944\,A\,a^{28}\,b^{24}\,d^8+190848\,A\,a^{30}\,b^{22}\,d^8+352640\,A\,a^{32}\,b^{20}\,d^8+435840\,A\,a^{34}\,b^{18}\,d^8+354048\,A\,a^{36}\,b^{16}\,d^8+169728\,A\,a^{38}\,b^{14}\,d^8+24576\,A\,a^{40}\,b^{12}\,d^8-21760\,A\,a^{42}\,b^{10}\,d^8-13440\,A\,a^{44}\,b^8\,d^8-2176\,A\,a^{46}\,b^6\,d^8+384\,A\,a^{48}\,b^4\,d^8+128\,A\,a^{50}\,b^2\,d^8\right)\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-800\,A^3\,a^{21}\,b^{27}\,d^6-2080\,A^3\,a^{23}\,b^{25}\,d^6+12928\,A^3\,a^{25}\,b^{23}\,d^6+78464\,A^3\,a^{27}\,b^{21}\,d^6+183616\,A^3\,a^{29}\,b^{19}\,d^6+238400\,A^3\,a^{31}\,b^{17}\,d^6+184960\,A^3\,a^{33}\,b^{15}\,d^6+84608\,A^3\,a^{35}\,b^{13}\,d^6+20704\,A^3\,a^{37}\,b^{11}\,d^6+2016\,A^3\,a^{39}\,b^9\,d^6\right)\right)+80\,A^5\,a^{24}\,b^{20}\,d^4+544\,A^5\,a^{26}\,b^{18}\,d^4+1520\,A^5\,a^{28}\,b^{16}\,d^4+2240\,A^5\,a^{30}\,b^{14}\,d^4+1840\,A^5\,a^{32}\,b^{12}\,d^4+800\,A^5\,a^{34}\,b^{10}\,d^4+144\,A^5\,a^{36}\,b^8\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}-16\,A^2\,a\,b^3\,d^2+16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,A^4\,a^{41}\,b^5\,d^5+224\,A^4\,a^{39}\,b^7\,d^5+1968\,A^4\,a^{37}\,b^9\,d^5+7744\,A^4\,a^{35}\,b^{11}\,d^5+13760\,A^4\,a^{33}\,b^{13}\,d^5+9472\,A^4\,a^{31}\,b^{15}\,d^5-4256\,A^4\,a^{29}\,b^{17}\,d^5-12352\,A^4\,a^{27}\,b^{19}\,d^5-9056\,A^4\,a^{25}\,b^{21}\,d^5-3040\,A^4\,a^{23}\,b^{23}\,d^5-400\,A^4\,a^{21}\,b^{25}\,d^5\right)-\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{48}\,b^2\,d^7-512\,A^2\,a^{46}\,b^4\,d^7-704\,A^2\,a^{44}\,b^6\,d^7+3072\,A^2\,a^{42}\,b^8\,d^7+22016\,A^2\,a^{40}\,b^{10}\,d^7+98432\,A^2\,a^{38}\,b^{12}\,d^7+304256\,A^2\,a^{36}\,b^{14}\,d^7+615936\,A^2\,a^{34}\,b^{16}\,d^7+820672\,A^2\,a^{32}\,b^{18}\,d^7+727296\,A^2\,a^{30}\,b^{20}\,d^7+425536\,A^2\,a^{28}\,b^{22}\,d^7+158208\,A^2\,a^{26}\,b^{24}\,d^7+33920\,A^2\,a^{24}\,b^{26}\,d^7+3200\,A^2\,a^{22}\,b^{28}\,d^7\right)-\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\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)+1280\,A\,a^{24}\,b^{28}\,d^8+13824\,A\,a^{26}\,b^{26}\,d^8+66944\,A\,a^{28}\,b^{24}\,d^8+190848\,A\,a^{30}\,b^{22}\,d^8+352640\,A\,a^{32}\,b^{20}\,d^8+435840\,A\,a^{34}\,b^{18}\,d^8+354048\,A\,a^{36}\,b^{16}\,d^8+169728\,A\,a^{38}\,b^{14}\,d^8+24576\,A\,a^{40}\,b^{12}\,d^8-21760\,A\,a^{42}\,b^{10}\,d^8-13440\,A\,a^{44}\,b^8\,d^8-2176\,A\,a^{46}\,b^6\,d^8+384\,A\,a^{48}\,b^4\,d^8+128\,A\,a^{50}\,b^2\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-800\,A^3\,a^{21}\,b^{27}\,d^6-2080\,A^3\,a^{23}\,b^{25}\,d^6+12928\,A^3\,a^{25}\,b^{23}\,d^6+78464\,A^3\,a^{27}\,b^{21}\,d^6+183616\,A^3\,a^{29}\,b^{19}\,d^6+238400\,A^3\,a^{31}\,b^{17}\,d^6+184960\,A^3\,a^{33}\,b^{15}\,d^6+84608\,A^3\,a^{35}\,b^{13}\,d^6+20704\,A^3\,a^{37}\,b^{11}\,d^6+2016\,A^3\,a^{39}\,b^9\,d^6\right)\right)+80\,A^5\,a^{24}\,b^{20}\,d^4+544\,A^5\,a^{26}\,b^{18}\,d^4+1520\,A^5\,a^{28}\,b^{16}\,d^4+2240\,A^5\,a^{30}\,b^{14}\,d^4+1840\,A^5\,a^{32}\,b^{12}\,d^4+800\,A^5\,a^{34}\,b^{10}\,d^4+144\,A^5\,a^{36}\,b^8\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^8\,d^4+192\,A^4\,a^6\,b^2\,d^4-608\,A^4\,a^4\,b^4\,d^4+192\,A^4\,a^2\,b^6\,d^4-16\,A^4\,b^8\,d^4}+16\,A^2\,a\,b^3\,d^2-16\,A^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\frac{10\,A\,b\,\mathrm{tan}\left(c+d\,x\right)}{3\,a^2}-\frac{2\,A}{3\,a}+\frac{A\,{\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}}-\frac{\frac{2\,B}{a}+\frac{B\,\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{\ln\left(72\,B^5\,a^{14}\,b^{21}\,d^4-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)-\frac{\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)-\frac{\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}\,\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}+768\,B\,a^{16}\,b^{27}\,d^8+8704\,B\,a^{18}\,b^{25}\,d^8+44288\,B\,a^{20}\,b^{23}\,d^8+133120\,B\,a^{22}\,b^{21}\,d^8+261120\,B\,a^{24}\,b^{19}\,d^8+347136\,B\,a^{26}\,b^{17}\,d^8+311808\,B\,a^{28}\,b^{15}\,d^8+178176\,B\,a^{30}\,b^{13}\,d^8+49920\,B\,a^{32}\,b^{11}\,d^8-7680\,B\,a^{34}\,b^9\,d^8-12032\,B\,a^{36}\,b^7\,d^8-4096\,B\,a^{38}\,b^5\,d^8-512\,B\,a^{40}\,b^3\,d^8\right)}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}-1152\,B^3\,a^{15}\,b^{24}\,d^6-8448\,B^3\,a^{17}\,b^{22}\,d^6-23776\,B^3\,a^{19}\,b^{20}\,d^6-29664\,B^3\,a^{21}\,b^{18}\,d^6-6528\,B^3\,a^{23}\,b^{16}\,d^6+26496\,B^3\,a^{25}\,b^{14}\,d^6+33984\,B^3\,a^{27}\,b^{12}\,d^6+18624\,B^3\,a^{29}\,b^{10}\,d^6+5376\,B^3\,a^{31}\,b^8\,d^6+1152\,B^3\,a^{33}\,b^6\,d^6+288\,B^3\,a^{35}\,b^4\,d^6+32\,B^3\,a^{37}\,b^2\,d^6\right)}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}+648\,B^5\,a^{16}\,b^{19}\,d^4+2440\,B^5\,a^{18}\,b^{17}\,d^4+5000\,B^5\,a^{20}\,b^{15}\,d^4+6040\,B^5\,a^{22}\,b^{13}\,d^4+4312\,B^5\,a^{24}\,b^{11}\,d^4+1688\,B^5\,a^{26}\,b^9\,d^4+280\,B^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{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}}}{4}+\frac{\ln\left(72\,B^5\,a^{14}\,b^{21}\,d^4-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)-\frac{\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)-\frac{\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}\,\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}+768\,B\,a^{16}\,b^{27}\,d^8+8704\,B\,a^{18}\,b^{25}\,d^8+44288\,B\,a^{20}\,b^{23}\,d^8+133120\,B\,a^{22}\,b^{21}\,d^8+261120\,B\,a^{24}\,b^{19}\,d^8+347136\,B\,a^{26}\,b^{17}\,d^8+311808\,B\,a^{28}\,b^{15}\,d^8+178176\,B\,a^{30}\,b^{13}\,d^8+49920\,B\,a^{32}\,b^{11}\,d^8-7680\,B\,a^{34}\,b^9\,d^8-12032\,B\,a^{36}\,b^7\,d^8-4096\,B\,a^{38}\,b^5\,d^8-512\,B\,a^{40}\,b^3\,d^8\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}-1152\,B^3\,a^{15}\,b^{24}\,d^6-8448\,B^3\,a^{17}\,b^{22}\,d^6-23776\,B^3\,a^{19}\,b^{20}\,d^6-29664\,B^3\,a^{21}\,b^{18}\,d^6-6528\,B^3\,a^{23}\,b^{16}\,d^6+26496\,B^3\,a^{25}\,b^{14}\,d^6+33984\,B^3\,a^{27}\,b^{12}\,d^6+18624\,B^3\,a^{29}\,b^{10}\,d^6+5376\,B^3\,a^{31}\,b^8\,d^6+1152\,B^3\,a^{33}\,b^6\,d^6+288\,B^3\,a^{35}\,b^4\,d^6+32\,B^3\,a^{37}\,b^2\,d^6\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}+648\,B^5\,a^{16}\,b^{19}\,d^4+2440\,B^5\,a^{18}\,b^{17}\,d^4+5000\,B^5\,a^{20}\,b^{15}\,d^4+6040\,B^5\,a^{22}\,b^{13}\,d^4+4312\,B^5\,a^{24}\,b^{11}\,d^4+1688\,B^5\,a^{26}\,b^9\,d^4+280\,B^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{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}}}{4}-\ln\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)+\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(26496\,B^3\,a^{25}\,b^{14}\,d^6-1152\,B^3\,a^{15}\,b^{24}\,d^6-8448\,B^3\,a^{17}\,b^{22}\,d^6-23776\,B^3\,a^{19}\,b^{20}\,d^6-29664\,B^3\,a^{21}\,b^{18}\,d^6-6528\,B^3\,a^{23}\,b^{16}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)+\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(768\,B\,a^{16}\,b^{27}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\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)+8704\,B\,a^{18}\,b^{25}\,d^8+44288\,B\,a^{20}\,b^{23}\,d^8+133120\,B\,a^{22}\,b^{21}\,d^8+261120\,B\,a^{24}\,b^{19}\,d^8+347136\,B\,a^{26}\,b^{17}\,d^8+311808\,B\,a^{28}\,b^{15}\,d^8+178176\,B\,a^{30}\,b^{13}\,d^8+49920\,B\,a^{32}\,b^{11}\,d^8-7680\,B\,a^{34}\,b^9\,d^8-12032\,B\,a^{36}\,b^7\,d^8-4096\,B\,a^{38}\,b^5\,d^8-512\,B\,a^{40}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+33984\,B^3\,a^{27}\,b^{12}\,d^6+18624\,B^3\,a^{29}\,b^{10}\,d^6+5376\,B^3\,a^{31}\,b^8\,d^6+1152\,B^3\,a^{33}\,b^6\,d^6+288\,B^3\,a^{35}\,b^4\,d^6+32\,B^3\,a^{37}\,b^2\,d^6\right)\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+72\,B^5\,a^{14}\,b^{21}\,d^4+648\,B^5\,a^{16}\,b^{19}\,d^4+2440\,B^5\,a^{18}\,b^{17}\,d^4+5000\,B^5\,a^{20}\,b^{15}\,d^4+6040\,B^5\,a^{22}\,b^{13}\,d^4+4312\,B^5\,a^{24}\,b^{11}\,d^4+1688\,B^5\,a^{26}\,b^9\,d^4+280\,B^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}+16\,B^2\,a\,b^3\,d^2-16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)+\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(26496\,B^3\,a^{25}\,b^{14}\,d^6-1152\,B^3\,a^{15}\,b^{24}\,d^6-8448\,B^3\,a^{17}\,b^{22}\,d^6-23776\,B^3\,a^{19}\,b^{20}\,d^6-29664\,B^3\,a^{21}\,b^{18}\,d^6-6528\,B^3\,a^{23}\,b^{16}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)+\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(768\,B\,a^{16}\,b^{27}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\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)+8704\,B\,a^{18}\,b^{25}\,d^8+44288\,B\,a^{20}\,b^{23}\,d^8+133120\,B\,a^{22}\,b^{21}\,d^8+261120\,B\,a^{24}\,b^{19}\,d^8+347136\,B\,a^{26}\,b^{17}\,d^8+311808\,B\,a^{28}\,b^{15}\,d^8+178176\,B\,a^{30}\,b^{13}\,d^8+49920\,B\,a^{32}\,b^{11}\,d^8-7680\,B\,a^{34}\,b^9\,d^8-12032\,B\,a^{36}\,b^7\,d^8-4096\,B\,a^{38}\,b^5\,d^8-512\,B\,a^{40}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+33984\,B^3\,a^{27}\,b^{12}\,d^6+18624\,B^3\,a^{29}\,b^{10}\,d^6+5376\,B^3\,a^{31}\,b^8\,d^6+1152\,B^3\,a^{33}\,b^6\,d^6+288\,B^3\,a^{35}\,b^4\,d^6+32\,B^3\,a^{37}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+72\,B^5\,a^{14}\,b^{21}\,d^4+648\,B^5\,a^{16}\,b^{19}\,d^4+2440\,B^5\,a^{18}\,b^{17}\,d^4+5000\,B^5\,a^{20}\,b^{15}\,d^4+6040\,B^5\,a^{22}\,b^{13}\,d^4+4312\,B^5\,a^{24}\,b^{11}\,d^4+1688\,B^5\,a^{26}\,b^9\,d^4+280\,B^5\,a^{28}\,b^7\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,d^4+192\,B^4\,a^6\,b^2\,d^4-608\,B^4\,a^4\,b^4\,d^4+192\,B^4\,a^2\,b^6\,d^4-16\,B^4\,b^8\,d^4}-16\,B^2\,a\,b^3\,d^2+16\,B^2\,a^3\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(6624\,B^3\,a^{25}\,b^{14}\,d^6-288\,B^3\,a^{15}\,b^{24}\,d^6-2112\,B^3\,a^{17}\,b^{22}\,d^6-5944\,B^3\,a^{19}\,b^{20}\,d^6-7416\,B^3\,a^{21}\,b^{18}\,d^6-1632\,B^3\,a^{23}\,b^{16}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(192\,B\,a^{16}\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+2176\,B\,a^{18}\,b^{25}\,d^8+11072\,B\,a^{20}\,b^{23}\,d^8+33280\,B\,a^{22}\,b^{21}\,d^8+65280\,B\,a^{24}\,b^{19}\,d^8+86784\,B\,a^{26}\,b^{17}\,d^8+77952\,B\,a^{28}\,b^{15}\,d^8+44544\,B\,a^{30}\,b^{13}\,d^8+12480\,B\,a^{32}\,b^{11}\,d^8-1920\,B\,a^{34}\,b^9\,d^8-3008\,B\,a^{36}\,b^7\,d^8-1024\,B\,a^{38}\,b^5\,d^8-128\,B\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+8496\,B^3\,a^{27}\,b^{12}\,d^6+4656\,B^3\,a^{29}\,b^{10}\,d^6+1344\,B^3\,a^{31}\,b^8\,d^6+288\,B^3\,a^{33}\,b^6\,d^6+72\,B^3\,a^{35}\,b^4\,d^6+8\,B^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+192\,B\,a^{16}\,b^{27}\,d^8+2176\,B\,a^{18}\,b^{25}\,d^8+11072\,B\,a^{20}\,b^{23}\,d^8+33280\,B\,a^{22}\,b^{21}\,d^8+65280\,B\,a^{24}\,b^{19}\,d^8+86784\,B\,a^{26}\,b^{17}\,d^8+77952\,B\,a^{28}\,b^{15}\,d^8+44544\,B\,a^{30}\,b^{13}\,d^8+12480\,B\,a^{32}\,b^{11}\,d^8-1920\,B\,a^{34}\,b^9\,d^8-3008\,B\,a^{36}\,b^7\,d^8-1024\,B\,a^{38}\,b^5\,d^8-128\,B\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}-288\,B^3\,a^{15}\,b^{24}\,d^6-2112\,B^3\,a^{17}\,b^{22}\,d^6-5944\,B^3\,a^{19}\,b^{20}\,d^6-7416\,B^3\,a^{21}\,b^{18}\,d^6-1632\,B^3\,a^{23}\,b^{16}\,d^6+6624\,B^3\,a^{25}\,b^{14}\,d^6+8496\,B^3\,a^{27}\,b^{12}\,d^6+4656\,B^3\,a^{29}\,b^{10}\,d^6+1344\,B^3\,a^{31}\,b^8\,d^6+288\,B^3\,a^{33}\,b^6\,d^6+72\,B^3\,a^{35}\,b^4\,d^6+8\,B^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}}{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(6624\,B^3\,a^{25}\,b^{14}\,d^6-288\,B^3\,a^{15}\,b^{24}\,d^6-2112\,B^3\,a^{17}\,b^{22}\,d^6-5944\,B^3\,a^{19}\,b^{20}\,d^6-7416\,B^3\,a^{21}\,b^{18}\,d^6-1632\,B^3\,a^{23}\,b^{16}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(192\,B\,a^{16}\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+2176\,B\,a^{18}\,b^{25}\,d^8+11072\,B\,a^{20}\,b^{23}\,d^8+33280\,B\,a^{22}\,b^{21}\,d^8+65280\,B\,a^{24}\,b^{19}\,d^8+86784\,B\,a^{26}\,b^{17}\,d^8+77952\,B\,a^{28}\,b^{15}\,d^8+44544\,B\,a^{30}\,b^{13}\,d^8+12480\,B\,a^{32}\,b^{11}\,d^8-1920\,B\,a^{34}\,b^9\,d^8-3008\,B\,a^{36}\,b^7\,d^8-1024\,B\,a^{38}\,b^5\,d^8-128\,B\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+8496\,B^3\,a^{27}\,b^{12}\,d^6+4656\,B^3\,a^{29}\,b^{10}\,d^6+1344\,B^3\,a^{31}\,b^8\,d^6+288\,B^3\,a^{33}\,b^6\,d^6+72\,B^3\,a^{35}\,b^4\,d^6+8\,B^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{32}\,b^5\,d^5-560\,B^4\,a^{30}\,b^7\,d^5-3136\,B^4\,a^{28}\,b^9\,d^5-5632\,B^4\,a^{26}\,b^{11}\,d^5-2816\,B^4\,a^{24}\,b^{13}\,d^5+3872\,B^4\,a^{22}\,b^{15}\,d^5+6720\,B^4\,a^{20}\,b^{17}\,d^5+4224\,B^4\,a^{18}\,b^{19}\,d^5+1248\,B^4\,a^{16}\,b^{21}\,d^5+144\,B^4\,a^{14}\,b^{23}\,d^5\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{39}\,b^2\,d^7+512\,B^2\,a^{37}\,b^4\,d^7+704\,B^2\,a^{35}\,b^6\,d^7+3200\,B^2\,a^{33}\,b^8\,d^7+37632\,B^2\,a^{31}\,b^{10}\,d^7+156160\,B^2\,a^{29}\,b^{12}\,d^7+337792\,B^2\,a^{27}\,b^{14}\,d^7+443136\,B^2\,a^{25}\,b^{16}\,d^7+372800\,B^2\,a^{23}\,b^{18}\,d^7+202752\,B^2\,a^{21}\,b^{20}\,d^7+69056\,B^2\,a^{19}\,b^{22}\,d^7+13440\,B^2\,a^{17}\,b^{24}\,d^7+1152\,B^2\,a^{15}\,b^{26}\,d^7\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,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)}{16\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}+192\,B\,a^{16}\,b^{27}\,d^8+2176\,B\,a^{18}\,b^{25}\,d^8+11072\,B\,a^{20}\,b^{23}\,d^8+33280\,B\,a^{22}\,b^{21}\,d^8+65280\,B\,a^{24}\,b^{19}\,d^8+86784\,B\,a^{26}\,b^{17}\,d^8+77952\,B\,a^{28}\,b^{15}\,d^8+44544\,B\,a^{30}\,b^{13}\,d^8+12480\,B\,a^{32}\,b^{11}\,d^8-1920\,B\,a^{34}\,b^9\,d^8-3008\,B\,a^{36}\,b^7\,d^8-1024\,B\,a^{38}\,b^5\,d^8-128\,B\,a^{40}\,b^3\,d^8\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}-288\,B^3\,a^{15}\,b^{24}\,d^6-2112\,B^3\,a^{17}\,b^{22}\,d^6-5944\,B^3\,a^{19}\,b^{20}\,d^6-7416\,B^3\,a^{21}\,b^{18}\,d^6-1632\,B^3\,a^{23}\,b^{16}\,d^6+6624\,B^3\,a^{25}\,b^{14}\,d^6+8496\,B^3\,a^{27}\,b^{12}\,d^6+4656\,B^3\,a^{29}\,b^{10}\,d^6+1344\,B^3\,a^{31}\,b^8\,d^6+288\,B^3\,a^{33}\,b^6\,d^6+72\,B^3\,a^{35}\,b^4\,d^6+8\,B^3\,a^{37}\,b^2\,d^6\right)}{4\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}}{a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2}+144\,B^5\,a^{14}\,b^{21}\,d^4+1296\,B^5\,a^{16}\,b^{19}\,d^4+4880\,B^5\,a^{18}\,b^{17}\,d^4+10000\,B^5\,a^{20}\,b^{15}\,d^4+12080\,B^5\,a^{22}\,b^{13}\,d^4+8624\,B^5\,a^{24}\,b^{11}\,d^4+3376\,B^5\,a^{26}\,b^9\,d^4+560\,B^5\,a^{28}\,b^7\,d^4}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^{13}\,d^2+4\,a^{11}\,b^2\,d^2+6\,a^9\,b^4\,d^2+4\,a^7\,b^6\,d^2+a^5\,b^8\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{{\left(81\,a^4\,b^7+90\,a^2\,b^9+25\,b^{11}\right)}^2\,\left(-b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{5/2}\,2{}\mathrm{i}+a^2\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{5/2}\,2{}\mathrm{i}-A^2\,a^{29}\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,1{}\mathrm{i}+A^2\,a^9\,b^{20}\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,50{}\mathrm{i}+A^2\,a^{11}\,b^{18}\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,380{}\mathrm{i}+A^2\,a^{13}\,b^{16}\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,1182{}\mathrm{i}+A^2\,a^{15}\,b^{14}\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,1913{}\mathrm{i}+A^2\,a^{17}\,b^{12}\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,1699{}\mathrm{i}+A^2\,a^{19}\,b^{10}\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,805{}\mathrm{i}+A^2\,a^{21}\,b^8\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,199{}\mathrm{i}+A^2\,a^{23}\,b^6\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,43{}\mathrm{i}+A^2\,a^{25}\,b^4\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,7{}\mathrm{i}-A^2\,a^{27}\,b^2\,d^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)\right)}^{3/2}\,5{}\mathrm{i}+A^4\,a^{22}\,b^{33}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,25{}\mathrm{i}+A^4\,a^{24}\,b^{31}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,315{}\mathrm{i}+A^4\,a^{26}\,b^{29}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,1766{}\mathrm{i}+A^4\,a^{28}\,b^{27}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,5752{}\mathrm{i}+A^4\,a^{30}\,b^{25}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,11811{}\mathrm{i}+A^4\,a^{32}\,b^{23}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,15093{}\mathrm{i}+A^4\,a^{34}\,b^{21}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,9580{}\mathrm{i}-A^4\,a^{36}\,b^{19}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,3618{}\mathrm{i}-A^4\,a^{38}\,b^{17}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,14961{}\mathrm{i}-A^4\,a^{40}\,b^{15}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,16763{}\mathrm{i}-A^4\,a^{42}\,b^{13}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,11034{}\mathrm{i}-A^4\,a^{44}\,b^{11}\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,4660{}\mathrm{i}-A^4\,a^{46}\,b^9\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,1259{}\mathrm{i}-A^4\,a^{48}\,b^7\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,213{}\mathrm{i}-A^4\,a^{50}\,b^5\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,24{}\mathrm{i}-A^4\,a^{52}\,b^3\,d^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,2{}\mathrm{i}\right)}{A\,{\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)}^2\,\left(18\,a^{62}\,b^6\,d^5+262\,a^{60}\,b^8\,d^5+1778\,a^{58}\,b^{10}\,d^5+7462\,a^{56}\,b^{12}\,d^5+33322\,a^{54}\,b^{14}\,d^5+170462\,a^{52}\,b^{16}\,d^5+668074\,a^{50}\,b^{18}\,d^5+1864304\,a^{48}\,b^{20}\,d^5+4501164\,a^{46}\,b^{22}\,d^5+12144964\,a^{44}\,b^{24}\,d^5+34268140\,a^{42}\,b^{26}\,d^5+81434252\,a^{40}\,b^{28}\,d^5+149083724\,a^{38}\,b^{30}\,d^5+207986852\,a^{36}\,b^{32}\,d^5+222697292\,a^{34}\,b^{34}\,d^5+184103296\,a^{32}\,b^{36}\,d^5+117509090\,a^{30}\,b^{38}\,d^5+57459798\,a^{28}\,b^{40}\,d^5+21146050\,a^{26}\,b^{42}\,d^5+5670750\,a^{24}\,b^{44}\,d^5+1046250\,a^{22}\,b^{46}\,d^5+118750\,a^{20}\,b^{48}\,d^5+6250\,a^{18}\,b^{50}\,d^5\right)}\right)\,\sqrt{-4\,\left(81\,A^2\,a^4\,b^7+90\,A^2\,a^2\,b^9+25\,A^2\,b^{11}\right)\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^{15}\,d^2+4\,a^{13}\,b^2\,d^2+6\,a^{11}\,b^4\,d^2+4\,a^9\,b^6\,d^2+a^7\,b^8\,d^2\right)}","Not used",1,"(log(80*A^5*a^24*b^20*d^4 - ((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*(tan(c + d*x)^(1/2)*(9472*A^4*a^31*b^15*d^5 - 3040*A^4*a^23*b^23*d^5 - 9056*A^4*a^25*b^21*d^5 - 12352*A^4*a^27*b^19*d^5 - 4256*A^4*a^29*b^17*d^5 - 400*A^4*a^21*b^25*d^5 + 13760*A^4*a^33*b^13*d^5 + 7744*A^4*a^35*b^11*d^5 + 1968*A^4*a^37*b^9*d^5 + 224*A^4*a^39*b^7*d^5 + 32*A^4*a^41*b^5*d^5) + ((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*(12928*A^3*a^25*b^23*d^6 - 800*A^3*a^21*b^27*d^6 - 2080*A^3*a^23*b^25*d^6 - ((tan(c + d*x)^(1/2)*(3200*A^2*a^22*b^28*d^7 + 33920*A^2*a^24*b^26*d^7 + 158208*A^2*a^26*b^24*d^7 + 425536*A^2*a^28*b^22*d^7 + 727296*A^2*a^30*b^20*d^7 + 820672*A^2*a^32*b^18*d^7 + 615936*A^2*a^34*b^16*d^7 + 304256*A^2*a^36*b^14*d^7 + 98432*A^2*a^38*b^12*d^7 + 22016*A^2*a^40*b^10*d^7 + 3072*A^2*a^42*b^8*d^7 - 704*A^2*a^44*b^6*d^7 - 512*A^2*a^46*b^4*d^7 - 64*A^2*a^48*b^2*d^7) + ((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*(1280*A*a^24*b^28*d^8 - (tan(c + d*x)^(1/2)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2)*(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))/4 + 13824*A*a^26*b^26*d^8 + 66944*A*a^28*b^24*d^8 + 190848*A*a^30*b^22*d^8 + 352640*A*a^32*b^20*d^8 + 435840*A*a^34*b^18*d^8 + 354048*A*a^36*b^16*d^8 + 169728*A*a^38*b^14*d^8 + 24576*A*a^40*b^12*d^8 - 21760*A*a^42*b^10*d^8 - 13440*A*a^44*b^8*d^8 - 2176*A*a^46*b^6*d^8 + 384*A*a^48*b^4*d^8 + 128*A*a^50*b^2*d^8))/4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 + 78464*A^3*a^27*b^21*d^6 + 183616*A^3*a^29*b^19*d^6 + 238400*A^3*a^31*b^17*d^6 + 184960*A^3*a^33*b^15*d^6 + 84608*A^3*a^35*b^13*d^6 + 20704*A^3*a^37*b^11*d^6 + 2016*A^3*a^39*b^9*d^6))/4))/4 + 544*A^5*a^26*b^18*d^4 + 1520*A^5*a^28*b^16*d^4 + 2240*A^5*a^30*b^14*d^4 + 1840*A^5*a^32*b^12*d^4 + 800*A^5*a^34*b^10*d^4 + 144*A^5*a^36*b^8*d^4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*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))^(1/2))/4 + (log(80*A^5*a^24*b^20*d^4 - ((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*(tan(c + d*x)^(1/2)*(9472*A^4*a^31*b^15*d^5 - 3040*A^4*a^23*b^23*d^5 - 9056*A^4*a^25*b^21*d^5 - 12352*A^4*a^27*b^19*d^5 - 4256*A^4*a^29*b^17*d^5 - 400*A^4*a^21*b^25*d^5 + 13760*A^4*a^33*b^13*d^5 + 7744*A^4*a^35*b^11*d^5 + 1968*A^4*a^37*b^9*d^5 + 224*A^4*a^39*b^7*d^5 + 32*A^4*a^41*b^5*d^5) + ((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*(12928*A^3*a^25*b^23*d^6 - 800*A^3*a^21*b^27*d^6 - 2080*A^3*a^23*b^25*d^6 - ((tan(c + d*x)^(1/2)*(3200*A^2*a^22*b^28*d^7 + 33920*A^2*a^24*b^26*d^7 + 158208*A^2*a^26*b^24*d^7 + 425536*A^2*a^28*b^22*d^7 + 727296*A^2*a^30*b^20*d^7 + 820672*A^2*a^32*b^18*d^7 + 615936*A^2*a^34*b^16*d^7 + 304256*A^2*a^36*b^14*d^7 + 98432*A^2*a^38*b^12*d^7 + 22016*A^2*a^40*b^10*d^7 + 3072*A^2*a^42*b^8*d^7 - 704*A^2*a^44*b^6*d^7 - 512*A^2*a^46*b^4*d^7 - 64*A^2*a^48*b^2*d^7) + ((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*(1280*A*a^24*b^28*d^8 - (tan(c + d*x)^(1/2)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2)*(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))/4 + 13824*A*a^26*b^26*d^8 + 66944*A*a^28*b^24*d^8 + 190848*A*a^30*b^22*d^8 + 352640*A*a^32*b^20*d^8 + 435840*A*a^34*b^18*d^8 + 354048*A*a^36*b^16*d^8 + 169728*A*a^38*b^14*d^8 + 24576*A*a^40*b^12*d^8 - 21760*A*a^42*b^10*d^8 - 13440*A*a^44*b^8*d^8 - 2176*A*a^46*b^6*d^8 + 384*A*a^48*b^4*d^8 + 128*A*a^50*b^2*d^8))/4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 + 78464*A^3*a^27*b^21*d^6 + 183616*A^3*a^29*b^19*d^6 + 238400*A^3*a^31*b^17*d^6 + 184960*A^3*a^33*b^15*d^6 + 84608*A^3*a^35*b^13*d^6 + 20704*A^3*a^37*b^11*d^6 + 2016*A^3*a^39*b^9*d^6))/4))/4 + 544*A^5*a^26*b^18*d^4 + 1520*A^5*a^28*b^16*d^4 + 2240*A^5*a^30*b^14*d^4 + 1840*A^5*a^32*b^12*d^4 + 800*A^5*a^34*b^10*d^4 + 144*A^5*a^36*b^8*d^4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*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))^(1/2))/4 - log((((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(tan(c + d*x)^(1/2)*(9472*A^4*a^31*b^15*d^5 - 3040*A^4*a^23*b^23*d^5 - 9056*A^4*a^25*b^21*d^5 - 12352*A^4*a^27*b^19*d^5 - 4256*A^4*a^29*b^17*d^5 - 400*A^4*a^21*b^25*d^5 + 13760*A^4*a^33*b^13*d^5 + 7744*A^4*a^35*b^11*d^5 + 1968*A^4*a^37*b^9*d^5 + 224*A^4*a^39*b^7*d^5 + 32*A^4*a^41*b^5*d^5) - (((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*((tan(c + d*x)^(1/2)*(3200*A^2*a^22*b^28*d^7 + 33920*A^2*a^24*b^26*d^7 + 158208*A^2*a^26*b^24*d^7 + 425536*A^2*a^28*b^22*d^7 + 727296*A^2*a^30*b^20*d^7 + 820672*A^2*a^32*b^18*d^7 + 615936*A^2*a^34*b^16*d^7 + 304256*A^2*a^36*b^14*d^7 + 98432*A^2*a^38*b^12*d^7 + 22016*A^2*a^40*b^10*d^7 + 3072*A^2*a^42*b^8*d^7 - 704*A^2*a^44*b^6*d^7 - 512*A^2*a^46*b^4*d^7 - 64*A^2*a^48*b^2*d^7) - (((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(tan(c + d*x)^(1/2)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(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) + 1280*A*a^24*b^28*d^8 + 13824*A*a^26*b^26*d^8 + 66944*A*a^28*b^24*d^8 + 190848*A*a^30*b^22*d^8 + 352640*A*a^32*b^20*d^8 + 435840*A*a^34*b^18*d^8 + 354048*A*a^36*b^16*d^8 + 169728*A*a^38*b^14*d^8 + 24576*A*a^40*b^12*d^8 - 21760*A*a^42*b^10*d^8 - 13440*A*a^44*b^8*d^8 - 2176*A*a^46*b^6*d^8 + 384*A*a^48*b^4*d^8 + 128*A*a^50*b^2*d^8))*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - 800*A^3*a^21*b^27*d^6 - 2080*A^3*a^23*b^25*d^6 + 12928*A^3*a^25*b^23*d^6 + 78464*A^3*a^27*b^21*d^6 + 183616*A^3*a^29*b^19*d^6 + 238400*A^3*a^31*b^17*d^6 + 184960*A^3*a^33*b^15*d^6 + 84608*A^3*a^35*b^13*d^6 + 20704*A^3*a^37*b^11*d^6 + 2016*A^3*a^39*b^9*d^6)) + 80*A^5*a^24*b^20*d^4 + 544*A^5*a^26*b^18*d^4 + 1520*A^5*a^28*b^16*d^4 + 2240*A^5*a^30*b^14*d^4 + 1840*A^5*a^32*b^12*d^4 + 800*A^5*a^34*b^10*d^4 + 144*A^5*a^36*b^8*d^4)*(((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) - 16*A^2*a*b^3*d^2 + 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(tan(c + d*x)^(1/2)*(9472*A^4*a^31*b^15*d^5 - 3040*A^4*a^23*b^23*d^5 - 9056*A^4*a^25*b^21*d^5 - 12352*A^4*a^27*b^19*d^5 - 4256*A^4*a^29*b^17*d^5 - 400*A^4*a^21*b^25*d^5 + 13760*A^4*a^33*b^13*d^5 + 7744*A^4*a^35*b^11*d^5 + 1968*A^4*a^37*b^9*d^5 + 224*A^4*a^39*b^7*d^5 + 32*A^4*a^41*b^5*d^5) - (-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*((tan(c + d*x)^(1/2)*(3200*A^2*a^22*b^28*d^7 + 33920*A^2*a^24*b^26*d^7 + 158208*A^2*a^26*b^24*d^7 + 425536*A^2*a^28*b^22*d^7 + 727296*A^2*a^30*b^20*d^7 + 820672*A^2*a^32*b^18*d^7 + 615936*A^2*a^34*b^16*d^7 + 304256*A^2*a^36*b^14*d^7 + 98432*A^2*a^38*b^12*d^7 + 22016*A^2*a^40*b^10*d^7 + 3072*A^2*a^42*b^8*d^7 - 704*A^2*a^44*b^6*d^7 - 512*A^2*a^46*b^4*d^7 - 64*A^2*a^48*b^2*d^7) - (-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(tan(c + d*x)^(1/2)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(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) + 1280*A*a^24*b^28*d^8 + 13824*A*a^26*b^26*d^8 + 66944*A*a^28*b^24*d^8 + 190848*A*a^30*b^22*d^8 + 352640*A*a^32*b^20*d^8 + 435840*A*a^34*b^18*d^8 + 354048*A*a^36*b^16*d^8 + 169728*A*a^38*b^14*d^8 + 24576*A*a^40*b^12*d^8 - 21760*A*a^42*b^10*d^8 - 13440*A*a^44*b^8*d^8 - 2176*A*a^46*b^6*d^8 + 384*A*a^48*b^4*d^8 + 128*A*a^50*b^2*d^8))*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - 800*A^3*a^21*b^27*d^6 - 2080*A^3*a^23*b^25*d^6 + 12928*A^3*a^25*b^23*d^6 + 78464*A^3*a^27*b^21*d^6 + 183616*A^3*a^29*b^19*d^6 + 238400*A^3*a^31*b^17*d^6 + 184960*A^3*a^33*b^15*d^6 + 84608*A^3*a^35*b^13*d^6 + 20704*A^3*a^37*b^11*d^6 + 2016*A^3*a^39*b^9*d^6)) + 80*A^5*a^24*b^20*d^4 + 544*A^5*a^26*b^18*d^4 + 1520*A^5*a^28*b^16*d^4 + 2240*A^5*a^30*b^14*d^4 + 1840*A^5*a^32*b^12*d^4 + 800*A^5*a^34*b^10*d^4 + 144*A^5*a^36*b^8*d^4)*(-((192*A^4*a^2*b^6*d^4 - 16*A^4*b^8*d^4 - 16*A^4*a^8*d^4 - 608*A^4*a^4*b^4*d^4 + 192*A^4*a^6*b^2*d^4)^(1/2) + 16*A^2*a*b^3*d^2 - 16*A^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + ((10*A*b*tan(c + d*x))/(3*a^2) - (2*A)/(3*a) + (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)) - ((2*B)/a + (B*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)) + (log(72*B^5*a^14*b^21*d^4 - ((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5) - ((((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2)*(((tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7) - ((((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2)*((tan(c + d*x)^(1/2)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2)*(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 + 768*B*a^16*b^27*d^8 + 8704*B*a^18*b^25*d^8 + 44288*B*a^20*b^23*d^8 + 133120*B*a^22*b^21*d^8 + 261120*B*a^24*b^19*d^8 + 347136*B*a^26*b^17*d^8 + 311808*B*a^28*b^15*d^8 + 178176*B*a^30*b^13*d^8 + 49920*B*a^32*b^11*d^8 - 7680*B*a^34*b^9*d^8 - 12032*B*a^36*b^7*d^8 - 4096*B*a^38*b^5*d^8 - 512*B*a^40*b^3*d^8))/4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 - 1152*B^3*a^15*b^24*d^6 - 8448*B^3*a^17*b^22*d^6 - 23776*B^3*a^19*b^20*d^6 - 29664*B^3*a^21*b^18*d^6 - 6528*B^3*a^23*b^16*d^6 + 26496*B^3*a^25*b^14*d^6 + 33984*B^3*a^27*b^12*d^6 + 18624*B^3*a^29*b^10*d^6 + 5376*B^3*a^31*b^8*d^6 + 1152*B^3*a^33*b^6*d^6 + 288*B^3*a^35*b^4*d^6 + 32*B^3*a^37*b^2*d^6))/4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 + 648*B^5*a^16*b^19*d^4 + 2440*B^5*a^18*b^17*d^4 + 5000*B^5*a^20*b^15*d^4 + 6040*B^5*a^22*b^13*d^4 + 4312*B^5*a^24*b^11*d^4 + 1688*B^5*a^26*b^9*d^4 + 280*B^5*a^28*b^7*d^4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*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))^(1/2))/4 + (log(72*B^5*a^14*b^21*d^4 - ((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5) - ((-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2)*(((tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7) - ((-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2)*((tan(c + d*x)^(1/2)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2)*(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 + 768*B*a^16*b^27*d^8 + 8704*B*a^18*b^25*d^8 + 44288*B*a^20*b^23*d^8 + 133120*B*a^22*b^21*d^8 + 261120*B*a^24*b^19*d^8 + 347136*B*a^26*b^17*d^8 + 311808*B*a^28*b^15*d^8 + 178176*B*a^30*b^13*d^8 + 49920*B*a^32*b^11*d^8 - 7680*B*a^34*b^9*d^8 - 12032*B*a^36*b^7*d^8 - 4096*B*a^38*b^5*d^8 - 512*B*a^40*b^3*d^8))/4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 - 1152*B^3*a^15*b^24*d^6 - 8448*B^3*a^17*b^22*d^6 - 23776*B^3*a^19*b^20*d^6 - 29664*B^3*a^21*b^18*d^6 - 6528*B^3*a^23*b^16*d^6 + 26496*B^3*a^25*b^14*d^6 + 33984*B^3*a^27*b^12*d^6 + 18624*B^3*a^29*b^10*d^6 + 5376*B^3*a^31*b^8*d^6 + 1152*B^3*a^33*b^6*d^6 + 288*B^3*a^35*b^4*d^6 + 32*B^3*a^37*b^2*d^6))/4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 + 648*B^5*a^16*b^19*d^4 + 2440*B^5*a^18*b^17*d^4 + 5000*B^5*a^20*b^15*d^4 + 6040*B^5*a^22*b^13*d^4 + 4312*B^5*a^24*b^11*d^4 + 1688*B^5*a^26*b^9*d^4 + 280*B^5*a^28*b^7*d^4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*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))^(1/2))/4 - log((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5) + (((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(26496*B^3*a^25*b^14*d^6 - 1152*B^3*a^15*b^24*d^6 - 8448*B^3*a^17*b^22*d^6 - 23776*B^3*a^19*b^20*d^6 - 29664*B^3*a^21*b^18*d^6 - 6528*B^3*a^23*b^16*d^6 - (tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7) + (((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(768*B*a^16*b^27*d^8 - tan(c + d*x)^(1/2)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(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) + 8704*B*a^18*b^25*d^8 + 44288*B*a^20*b^23*d^8 + 133120*B*a^22*b^21*d^8 + 261120*B*a^24*b^19*d^8 + 347136*B*a^26*b^17*d^8 + 311808*B*a^28*b^15*d^8 + 178176*B*a^30*b^13*d^8 + 49920*B*a^32*b^11*d^8 - 7680*B*a^34*b^9*d^8 - 12032*B*a^36*b^7*d^8 - 4096*B*a^38*b^5*d^8 - 512*B*a^40*b^3*d^8))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 33984*B^3*a^27*b^12*d^6 + 18624*B^3*a^29*b^10*d^6 + 5376*B^3*a^31*b^8*d^6 + 1152*B^3*a^33*b^6*d^6 + 288*B^3*a^35*b^4*d^6 + 32*B^3*a^37*b^2*d^6))*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 72*B^5*a^14*b^21*d^4 + 648*B^5*a^16*b^19*d^4 + 2440*B^5*a^18*b^17*d^4 + 5000*B^5*a^20*b^15*d^4 + 6040*B^5*a^22*b^13*d^4 + 4312*B^5*a^24*b^11*d^4 + 1688*B^5*a^26*b^9*d^4 + 280*B^5*a^28*b^7*d^4)*(((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) + 16*B^2*a*b^3*d^2 - 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5) + (-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(26496*B^3*a^25*b^14*d^6 - 1152*B^3*a^15*b^24*d^6 - 8448*B^3*a^17*b^22*d^6 - 23776*B^3*a^19*b^20*d^6 - 29664*B^3*a^21*b^18*d^6 - 6528*B^3*a^23*b^16*d^6 - (tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7) + (-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(768*B*a^16*b^27*d^8 - tan(c + d*x)^(1/2)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(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) + 8704*B*a^18*b^25*d^8 + 44288*B*a^20*b^23*d^8 + 133120*B*a^22*b^21*d^8 + 261120*B*a^24*b^19*d^8 + 347136*B*a^26*b^17*d^8 + 311808*B*a^28*b^15*d^8 + 178176*B*a^30*b^13*d^8 + 49920*B*a^32*b^11*d^8 - 7680*B*a^34*b^9*d^8 - 12032*B*a^36*b^7*d^8 - 4096*B*a^38*b^5*d^8 - 512*B*a^40*b^3*d^8))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 33984*B^3*a^27*b^12*d^6 + 18624*B^3*a^29*b^10*d^6 + 5376*B^3*a^31*b^8*d^6 + 1152*B^3*a^33*b^6*d^6 + 288*B^3*a^35*b^4*d^6 + 32*B^3*a^37*b^2*d^6))*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 72*B^5*a^14*b^21*d^4 + 648*B^5*a^16*b^19*d^4 + 2440*B^5*a^18*b^17*d^4 + 5000*B^5*a^20*b^15*d^4 + 6040*B^5*a^22*b^13*d^4 + 4312*B^5*a^24*b^11*d^4 + 1688*B^5*a^26*b^9*d^4 + 280*B^5*a^28*b^7*d^4)*(-((192*B^4*a^2*b^6*d^4 - 16*B^4*b^8*d^4 - 16*B^4*a^8*d^4 - 608*B^4*a^4*b^4*d^4 + 192*B^4*a^6*b^2*d^4)^(1/2) - 16*B^2*a*b^3*d^2 + 16*B^2*a^3*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (atan(((((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(6624*B^3*a^25*b^14*d^6 - 288*B^3*a^15*b^24*d^6 - 2112*B^3*a^17*b^22*d^6 - 5944*B^3*a^19*b^20*d^6 - 7416*B^3*a^21*b^18*d^6 - 1632*B^3*a^23*b^16*d^6 - (((tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(192*B*a^16*b^27*d^8 - (tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 2176*B*a^18*b^25*d^8 + 11072*B*a^20*b^23*d^8 + 33280*B*a^22*b^21*d^8 + 65280*B*a^24*b^19*d^8 + 86784*B*a^26*b^17*d^8 + 77952*B*a^28*b^15*d^8 + 44544*B*a^30*b^13*d^8 + 12480*B*a^32*b^11*d^8 - 1920*B*a^34*b^9*d^8 - 3008*B*a^36*b^7*d^8 - 1024*B*a^38*b^5*d^8 - 128*B*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 8496*B^3*a^27*b^12*d^6 + 4656*B^3*a^29*b^10*d^6 + 1344*B^3*a^31*b^8*d^6 + 288*B^3*a^33*b^6*d^6 + 72*B^3*a^35*b^4*d^6 + 8*B^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*1i)/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2) + (((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 192*B*a^16*b^27*d^8 + 2176*B*a^18*b^25*d^8 + 11072*B*a^20*b^23*d^8 + 33280*B*a^22*b^21*d^8 + 65280*B*a^24*b^19*d^8 + 86784*B*a^26*b^17*d^8 + 77952*B*a^28*b^15*d^8 + 44544*B*a^30*b^13*d^8 + 12480*B*a^32*b^11*d^8 - 1920*B*a^34*b^9*d^8 - 3008*B*a^36*b^7*d^8 - 1024*B*a^38*b^5*d^8 - 128*B*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) - 288*B^3*a^15*b^24*d^6 - 2112*B^3*a^17*b^22*d^6 - 5944*B^3*a^19*b^20*d^6 - 7416*B^3*a^21*b^18*d^6 - 1632*B^3*a^23*b^16*d^6 + 6624*B^3*a^25*b^14*d^6 + 8496*B^3*a^27*b^12*d^6 + 4656*B^3*a^29*b^10*d^6 + 1344*B^3*a^31*b^8*d^6 + 288*B^3*a^33*b^6*d^6 + 72*B^3*a^35*b^4*d^6 + 8*B^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*1i)/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))/((((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(6624*B^3*a^25*b^14*d^6 - 288*B^3*a^15*b^24*d^6 - 2112*B^3*a^17*b^22*d^6 - 5944*B^3*a^19*b^20*d^6 - 7416*B^3*a^21*b^18*d^6 - 1632*B^3*a^23*b^16*d^6 - (((tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*(192*B*a^16*b^27*d^8 - (tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 2176*B*a^18*b^25*d^8 + 11072*B*a^20*b^23*d^8 + 33280*B*a^22*b^21*d^8 + 65280*B*a^24*b^19*d^8 + 86784*B*a^26*b^17*d^8 + 77952*B*a^28*b^15*d^8 + 44544*B*a^30*b^13*d^8 + 12480*B*a^32*b^11*d^8 - 1920*B*a^34*b^9*d^8 - 3008*B*a^36*b^7*d^8 - 1024*B*a^38*b^5*d^8 - 128*B*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 8496*B^3*a^27*b^12*d^6 + 4656*B^3*a^29*b^10*d^6 + 1344*B^3*a^31*b^8*d^6 + 288*B^3*a^33*b^6*d^6 + 72*B^3*a^35*b^4*d^6 + 8*B^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2) - (((tan(c + d*x)^(1/2)*(144*B^4*a^14*b^23*d^5 + 1248*B^4*a^16*b^21*d^5 + 4224*B^4*a^18*b^19*d^5 + 6720*B^4*a^20*b^17*d^5 + 3872*B^4*a^22*b^15*d^5 - 2816*B^4*a^24*b^13*d^5 - 5632*B^4*a^26*b^11*d^5 - 3136*B^4*a^28*b^9*d^5 - 560*B^4*a^30*b^7*d^5 + 32*B^4*a^32*b^5*d^5))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(1152*B^2*a^15*b^26*d^7 + 13440*B^2*a^17*b^24*d^7 + 69056*B^2*a^19*b^22*d^7 + 202752*B^2*a^21*b^20*d^7 + 372800*B^2*a^23*b^18*d^7 + 443136*B^2*a^25*b^16*d^7 + 337792*B^2*a^27*b^14*d^7 + 156160*B^2*a^29*b^12*d^7 + 37632*B^2*a^31*b^10*d^7 + 3200*B^2*a^33*b^8*d^7 + 704*B^2*a^35*b^6*d^7 + 512*B^2*a^37*b^4*d^7 + 64*B^2*a^39*b^2*d^7))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*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))/(16*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) + 192*B*a^16*b^27*d^8 + 2176*B*a^18*b^25*d^8 + 11072*B*a^20*b^23*d^8 + 33280*B*a^22*b^21*d^8 + 65280*B*a^24*b^19*d^8 + 86784*B*a^26*b^17*d^8 + 77952*B*a^28*b^15*d^8 + 44544*B*a^30*b^13*d^8 + 12480*B*a^32*b^11*d^8 - 1920*B*a^34*b^9*d^8 - 3008*B*a^36*b^7*d^8 - 1024*B*a^38*b^5*d^8 - 128*B*a^40*b^3*d^8))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) - 288*B^3*a^15*b^24*d^6 - 2112*B^3*a^17*b^22*d^6 - 5944*B^3*a^19*b^20*d^6 - 7416*B^3*a^21*b^18*d^6 - 1632*B^3*a^23*b^16*d^6 + 6624*B^3*a^25*b^14*d^6 + 8496*B^3*a^27*b^12*d^6 + 4656*B^3*a^29*b^10*d^6 + 1344*B^3*a^31*b^8*d^6 + 288*B^3*a^33*b^6*d^6 + 72*B^3*a^35*b^4*d^6 + 8*B^3*a^37*b^2*d^6))/(4*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2))/(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2) + 144*B^5*a^14*b^21*d^4 + 1296*B^5*a^16*b^19*d^4 + 4880*B^5*a^18*b^17*d^4 + 10000*B^5*a^20*b^15*d^4 + 12080*B^5*a^22*b^13*d^4 + 8624*B^5*a^24*b^11*d^4 + 3376*B^5*a^26*b^9*d^4 + 560*B^5*a^28*b^7*d^4))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2))^(1/2)*1i)/(2*(a^13*d^2 + a^5*b^8*d^2 + 4*a^7*b^6*d^2 + 6*a^9*b^4*d^2 + 4*a^11*b^2*d^2)) - (atan(((25*b^11 + 90*a^2*b^9 + 81*a^4*b^7)^2*(a^2*b*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(5/2)*2i - b^3*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(5/2)*2i - A^2*a^29*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*1i + A^2*a^9*b^20*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*50i + A^2*a^11*b^18*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*380i + A^2*a^13*b^16*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*1182i + A^2*a^15*b^14*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*1913i + A^2*a^17*b^12*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*1699i + A^2*a^19*b^10*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*805i + A^2*a^21*b^8*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*199i + A^2*a^23*b^6*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*43i + A^2*a^25*b^4*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*7i - A^2*a^27*b^2*d^2*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(3/2)*5i + A^4*a^22*b^33*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*25i + A^4*a^24*b^31*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*315i + A^4*a^26*b^29*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*1766i + A^4*a^28*b^27*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*5752i + A^4*a^30*b^25*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*11811i + A^4*a^32*b^23*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*15093i + A^4*a^34*b^21*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*9580i - A^4*a^36*b^19*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*3618i - A^4*a^38*b^17*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*14961i - A^4*a^40*b^15*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*16763i - A^4*a^42*b^13*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*11034i - A^4*a^44*b^11*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*4660i - A^4*a^46*b^9*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*1259i - A^4*a^48*b^7*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*213i - A^4*a^50*b^5*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*24i - A^4*a^52*b^3*d^4*tan(c + d*x)^(1/2)*(-(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*2i))/(A*(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)^2*(6250*a^18*b^50*d^5 + 118750*a^20*b^48*d^5 + 1046250*a^22*b^46*d^5 + 5670750*a^24*b^44*d^5 + 21146050*a^26*b^42*d^5 + 57459798*a^28*b^40*d^5 + 117509090*a^30*b^38*d^5 + 184103296*a^32*b^36*d^5 + 222697292*a^34*b^34*d^5 + 207986852*a^36*b^32*d^5 + 149083724*a^38*b^30*d^5 + 81434252*a^40*b^28*d^5 + 34268140*a^42*b^26*d^5 + 12144964*a^44*b^24*d^5 + 4501164*a^46*b^22*d^5 + 1864304*a^48*b^20*d^5 + 668074*a^50*b^18*d^5 + 170462*a^52*b^16*d^5 + 33322*a^54*b^14*d^5 + 7462*a^56*b^12*d^5 + 1778*a^58*b^10*d^5 + 262*a^60*b^8*d^5 + 18*a^62*b^6*d^5)))*(-4*(25*A^2*b^11 + 90*A^2*a^2*b^9 + 81*A^2*a^4*b^7)*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))^(1/2)*1i)/(2*(a^15*d^2 + a^7*b^8*d^2 + 4*a^9*b^6*d^2 + 6*a^11*b^4*d^2 + 4*a^13*b^2*d^2))","B"
410,1,27429,600,60.842482,"\text{Not used}","int((tan(c + d*x)^(7/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}-\frac{64\,B\,a\,b\,\left(15\,a^4+41\,a^2\,b^2+2\,b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}-\frac{64\,B\,a\,b\,\left(15\,a^4+41\,a^2\,b^2+2\,b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}+\frac{64\,B\,a\,b\,\left(15\,a^4+41\,a^2\,b^2+2\,b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}+\frac{64\,B\,a\,b\,\left(15\,a^4+41\,a^2\,b^2+2\,b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(9\,B\,a^5\,b+17\,B\,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\,B\,a^5+15\,B\,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{\frac{A\,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\,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}+\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b^3\,d}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{2250\,B^3\,a^{20}\,b\,d^2+11550\,B^3\,a^{18}\,b^3\,d^2+22210\,B^3\,a^{16}\,b^5\,d^2-3578\,B^3\,a^{14}\,b^7\,d^2-85314\,B^3\,a^{12}\,b^9\,d^2-150758\,B^3\,a^{10}\,b^{11}\,d^2-105162\,B^3\,a^8\,b^{13}\,d^2-10974\,B^3\,a^6\,b^{15}\,d^2+12288\,B^3\,a^4\,b^{17}\,d^2+32\,B^3\,a^2\,b^{19}\,d^2}{64\,\left(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)}+\frac{\left(\frac{\left(\frac{960\,B\,a^{21}\,b^6\,d^4+10304\,B\,a^{19}\,b^8\,d^4+48000\,B\,a^{17}\,b^{10}\,d^4+128256\,B\,a^{15}\,b^{12}\,d^4+217728\,B\,a^{13}\,b^{14}\,d^4+244608\,B\,a^{11}\,b^{16}\,d^4+182784\,B\,a^9\,b^{18}\,d^4+88320\,B\,a^7\,b^{20}\,d^4+25536\,B\,a^5\,b^{22}\,d^4+3648\,B\,a^3\,b^{24}\,d^4+128\,B\,a\,b^{26}\,d^4}{64\,\left(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)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,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)}{4096\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,B^2\,a^{23}\,b\,d^2+18240\,B^2\,a^{21}\,b^3\,d^2+87008\,B^2\,a^{19}\,b^5\,d^2+248064\,B^2\,a^{17}\,b^7\,d^2+455472\,B^2\,a^{15}\,b^9\,d^2+541632\,B^2\,a^{13}\,b^{11}\,d^2+402912\,B^2\,a^{11}\,b^{13}\,d^2+177344\,B^2\,a^9\,b^{15}\,d^2+46088\,B^2\,a^7\,b^{17}\,d^2+8448\,B^2\,a^5\,b^{19}\,d^2-1024\,B^2\,a^3\,b^{21}\,d^2-1472\,B^2\,a\,b^{23}\,d^2\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{18}-30\,B^4\,a^{16}\,b^2+4049\,B^4\,a^{14}\,b^4+16860\,B^4\,a^{12}\,b^6+26801\,B^4\,a^{10}\,b^8+18050\,B^4\,a^8\,b^{10}-3841\,B^4\,a^6\,b^{12}+192\,B^4\,a^4\,b^{14}+128\,B^4\,a^2\,b^{16}+32\,B^4\,b^{18}\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2}-\frac{\left(\frac{\left(\frac{2250\,B^3\,a^{20}\,b\,d^2+11550\,B^3\,a^{18}\,b^3\,d^2+22210\,B^3\,a^{16}\,b^5\,d^2-3578\,B^3\,a^{14}\,b^7\,d^2-85314\,B^3\,a^{12}\,b^9\,d^2-150758\,B^3\,a^{10}\,b^{11}\,d^2-105162\,B^3\,a^8\,b^{13}\,d^2-10974\,B^3\,a^6\,b^{15}\,d^2+12288\,B^3\,a^4\,b^{17}\,d^2+32\,B^3\,a^2\,b^{19}\,d^2}{64\,\left(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)}+\frac{\left(\frac{\left(\frac{960\,B\,a^{21}\,b^6\,d^4+10304\,B\,a^{19}\,b^8\,d^4+48000\,B\,a^{17}\,b^{10}\,d^4+128256\,B\,a^{15}\,b^{12}\,d^4+217728\,B\,a^{13}\,b^{14}\,d^4+244608\,B\,a^{11}\,b^{16}\,d^4+182784\,B\,a^9\,b^{18}\,d^4+88320\,B\,a^7\,b^{20}\,d^4+25536\,B\,a^5\,b^{22}\,d^4+3648\,B\,a^3\,b^{24}\,d^4+128\,B\,a\,b^{26}\,d^4}{64\,\left(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)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,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)}{4096\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,B^2\,a^{23}\,b\,d^2+18240\,B^2\,a^{21}\,b^3\,d^2+87008\,B^2\,a^{19}\,b^5\,d^2+248064\,B^2\,a^{17}\,b^7\,d^2+455472\,B^2\,a^{15}\,b^9\,d^2+541632\,B^2\,a^{13}\,b^{11}\,d^2+402912\,B^2\,a^{11}\,b^{13}\,d^2+177344\,B^2\,a^9\,b^{15}\,d^2+46088\,B^2\,a^7\,b^{17}\,d^2+8448\,B^2\,a^5\,b^{19}\,d^2-1024\,B^2\,a^3\,b^{21}\,d^2-1472\,B^2\,a\,b^{23}\,d^2\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{18}-30\,B^4\,a^{16}\,b^2+4049\,B^4\,a^{14}\,b^4+16860\,B^4\,a^{12}\,b^6+26801\,B^4\,a^{10}\,b^8+18050\,B^4\,a^8\,b^{10}-3841\,B^4\,a^6\,b^{12}+192\,B^4\,a^4\,b^{14}+128\,B^4\,a^2\,b^{16}+32\,B^4\,b^{18}\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2}}{\frac{225\,B^5\,a^{15}+1380\,B^5\,a^{13}\,b^2+4006\,B^5\,a^{11}\,b^4+5916\,B^5\,a^9\,b^6+4457\,B^5\,a^7\,b^8+872\,B^5\,a^5\,b^{10}+504\,B^5\,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{\left(\frac{2250\,B^3\,a^{20}\,b\,d^2+11550\,B^3\,a^{18}\,b^3\,d^2+22210\,B^3\,a^{16}\,b^5\,d^2-3578\,B^3\,a^{14}\,b^7\,d^2-85314\,B^3\,a^{12}\,b^9\,d^2-150758\,B^3\,a^{10}\,b^{11}\,d^2-105162\,B^3\,a^8\,b^{13}\,d^2-10974\,B^3\,a^6\,b^{15}\,d^2+12288\,B^3\,a^4\,b^{17}\,d^2+32\,B^3\,a^2\,b^{19}\,d^2}{64\,\left(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)}+\frac{\left(\frac{\left(\frac{960\,B\,a^{21}\,b^6\,d^4+10304\,B\,a^{19}\,b^8\,d^4+48000\,B\,a^{17}\,b^{10}\,d^4+128256\,B\,a^{15}\,b^{12}\,d^4+217728\,B\,a^{13}\,b^{14}\,d^4+244608\,B\,a^{11}\,b^{16}\,d^4+182784\,B\,a^9\,b^{18}\,d^4+88320\,B\,a^7\,b^{20}\,d^4+25536\,B\,a^5\,b^{22}\,d^4+3648\,B\,a^3\,b^{24}\,d^4+128\,B\,a\,b^{26}\,d^4}{64\,\left(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)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,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)}{4096\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,B^2\,a^{23}\,b\,d^2+18240\,B^2\,a^{21}\,b^3\,d^2+87008\,B^2\,a^{19}\,b^5\,d^2+248064\,B^2\,a^{17}\,b^7\,d^2+455472\,B^2\,a^{15}\,b^9\,d^2+541632\,B^2\,a^{13}\,b^{11}\,d^2+402912\,B^2\,a^{11}\,b^{13}\,d^2+177344\,B^2\,a^9\,b^{15}\,d^2+46088\,B^2\,a^7\,b^{17}\,d^2+8448\,B^2\,a^5\,b^{19}\,d^2-1024\,B^2\,a^3\,b^{21}\,d^2-1472\,B^2\,a\,b^{23}\,d^2\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{18}-30\,B^4\,a^{16}\,b^2+4049\,B^4\,a^{14}\,b^4+16860\,B^4\,a^{12}\,b^6+26801\,B^4\,a^{10}\,b^8+18050\,B^4\,a^8\,b^{10}-3841\,B^4\,a^6\,b^{12}+192\,B^4\,a^4\,b^{14}+128\,B^4\,a^2\,b^{16}+32\,B^4\,b^{18}\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2}+\frac{\left(\frac{\left(\frac{2250\,B^3\,a^{20}\,b\,d^2+11550\,B^3\,a^{18}\,b^3\,d^2+22210\,B^3\,a^{16}\,b^5\,d^2-3578\,B^3\,a^{14}\,b^7\,d^2-85314\,B^3\,a^{12}\,b^9\,d^2-150758\,B^3\,a^{10}\,b^{11}\,d^2-105162\,B^3\,a^8\,b^{13}\,d^2-10974\,B^3\,a^6\,b^{15}\,d^2+12288\,B^3\,a^4\,b^{17}\,d^2+32\,B^3\,a^2\,b^{19}\,d^2}{64\,\left(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)}+\frac{\left(\frac{\left(\frac{960\,B\,a^{21}\,b^6\,d^4+10304\,B\,a^{19}\,b^8\,d^4+48000\,B\,a^{17}\,b^{10}\,d^4+128256\,B\,a^{15}\,b^{12}\,d^4+217728\,B\,a^{13}\,b^{14}\,d^4+244608\,B\,a^{11}\,b^{16}\,d^4+182784\,B\,a^9\,b^{18}\,d^4+88320\,B\,a^7\,b^{20}\,d^4+25536\,B\,a^5\,b^{22}\,d^4+3648\,B\,a^3\,b^{24}\,d^4+128\,B\,a\,b^{26}\,d^4}{64\,\left(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)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,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)}{4096\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(1800\,B^2\,a^{23}\,b\,d^2+18240\,B^2\,a^{21}\,b^3\,d^2+87008\,B^2\,a^{19}\,b^5\,d^2+248064\,B^2\,a^{17}\,b^7\,d^2+455472\,B^2\,a^{15}\,b^9\,d^2+541632\,B^2\,a^{13}\,b^{11}\,d^2+402912\,B^2\,a^{11}\,b^{13}\,d^2+177344\,B^2\,a^9\,b^{15}\,d^2+46088\,B^2\,a^7\,b^{17}\,d^2+8448\,B^2\,a^5\,b^{19}\,d^2-1024\,B^2\,a^3\,b^{21}\,d^2-1472\,B^2\,a\,b^{23}\,d^2\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{64\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{18}-30\,B^4\,a^{16}\,b^2+4049\,B^4\,a^{14}\,b^4+16860\,B^4\,a^{12}\,b^6+26801\,B^4\,a^{10}\,b^8+18050\,B^4\,a^8\,b^{10}-3841\,B^4\,a^6\,b^{12}+192\,B^4\,a^4\,b^{14}+128\,B^4\,a^2\,b^{16}+32\,B^4\,b^{18}\right)}{64\,\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{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}}{a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2}}\right)\,\sqrt{-64\,\left(225\,B^2\,a^{13}+1380\,B^2\,a^{11}\,b^2+4006\,B^2\,a^9\,b^4+5796\,B^2\,a^7\,b^6+3969\,B^2\,a^5\,b^8\right)\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{12}\,b^7\,d^2+6\,a^{10}\,b^9\,d^2+15\,a^8\,b^{11}\,d^2+20\,a^6\,b^{13}\,d^2+15\,a^4\,b^{15}\,d^2+6\,a^2\,b^{17}\,d^2+b^{19}\,d^2\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A^4\,a^{16}-18\,A^4\,a^{14}\,b^2+39\,A^4\,a^{12}\,b^4-1020\,A^4\,a^{10}\,b^6-1017\,A^4\,a^8\,b^8-6802\,A^4\,a^6\,b^{10}+1417\,A^4\,a^4\,b^{12}+128\,A^4\,a^2\,b^{14}+32\,A^4\,b^{16}\right)}{64\,\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)}-\frac{\left(\frac{-18\,A^3\,a^{19}\,d^2+90\,A^3\,a^{17}\,b^2\,d^2+246\,A^3\,a^{15}\,b^4\,d^2+3314\,A^3\,a^{13}\,b^6\,d^2+7594\,A^3\,a^{11}\,b^8\,d^2+21582\,A^3\,a^9\,b^{10}\,d^2+26482\,A^3\,a^7\,b^{12}\,d^2+2758\,A^3\,a^5\,b^{14}\,d^2-6528\,A^3\,a^3\,b^{16}\,d^2+32\,A^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,A^2\,a^{21}\,b\,d^2+576\,A^2\,a^{19}\,b^3\,d^2+3488\,A^2\,a^{17}\,b^5\,d^2+13248\,A^2\,a^{15}\,b^7\,d^2+39088\,A^2\,a^{13}\,b^9\,d^2+72640\,A^2\,a^{11}\,b^{11}\,d^2+70240\,A^2\,a^9\,b^{13}\,d^2+28224\,A^2\,a^7\,b^{15}\,d^2+1352\,A^2\,a^5\,b^{17}\,d^2+1024\,A^2\,a^3\,b^{19}\,d^2+1472\,A^2\,a\,b^{21}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{64\,A\,a^{20}\,b^5\,d^4+2112\,A\,a^{18}\,b^7\,d^4+14592\,A\,a^{16}\,b^9\,d^4+48384\,A\,a^{14}\,b^{11}\,d^4+94080\,A\,a^{12}\,b^{13}\,d^4+115584\,A\,a^{10}\,b^{15}\,d^4+91392\,A\,a^8\,b^{17}\,d^4+45312\,A\,a^6\,b^{19}\,d^4+12864\,A\,a^4\,b^{21}\,d^4+1600\,A\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A^4\,a^{16}-18\,A^4\,a^{14}\,b^2+39\,A^4\,a^{12}\,b^4-1020\,A^4\,a^{10}\,b^6-1017\,A^4\,a^8\,b^8-6802\,A^4\,a^6\,b^{10}+1417\,A^4\,a^4\,b^{12}+128\,A^4\,a^2\,b^{14}+32\,A^4\,b^{16}\right)}{64\,\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)}+\frac{\left(\frac{-18\,A^3\,a^{19}\,d^2+90\,A^3\,a^{17}\,b^2\,d^2+246\,A^3\,a^{15}\,b^4\,d^2+3314\,A^3\,a^{13}\,b^6\,d^2+7594\,A^3\,a^{11}\,b^8\,d^2+21582\,A^3\,a^9\,b^{10}\,d^2+26482\,A^3\,a^7\,b^{12}\,d^2+2758\,A^3\,a^5\,b^{14}\,d^2-6528\,A^3\,a^3\,b^{16}\,d^2+32\,A^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,A^2\,a^{21}\,b\,d^2+576\,A^2\,a^{19}\,b^3\,d^2+3488\,A^2\,a^{17}\,b^5\,d^2+13248\,A^2\,a^{15}\,b^7\,d^2+39088\,A^2\,a^{13}\,b^9\,d^2+72640\,A^2\,a^{11}\,b^{11}\,d^2+70240\,A^2\,a^9\,b^{13}\,d^2+28224\,A^2\,a^7\,b^{15}\,d^2+1352\,A^2\,a^5\,b^{17}\,d^2+1024\,A^2\,a^3\,b^{19}\,d^2+1472\,A^2\,a\,b^{21}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{64\,A\,a^{20}\,b^5\,d^4+2112\,A\,a^{18}\,b^7\,d^4+14592\,A\,a^{16}\,b^9\,d^4+48384\,A\,a^{14}\,b^{11}\,d^4+94080\,A\,a^{12}\,b^{13}\,d^4+115584\,A\,a^{10}\,b^{15}\,d^4+91392\,A\,a^8\,b^{17}\,d^4+45312\,A\,a^6\,b^{19}\,d^4+12864\,A\,a^4\,b^{21}\,d^4+1600\,A\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}}{\frac{9\,A^5\,a^{12}\,b+36\,A^5\,a^{10}\,b^3+270\,A^5\,a^8\,b^5+492\,A^5\,a^6\,b^7+1553\,A^5\,a^4\,b^9+280\,A^5\,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^4\,a^{16}-18\,A^4\,a^{14}\,b^2+39\,A^4\,a^{12}\,b^4-1020\,A^4\,a^{10}\,b^6-1017\,A^4\,a^8\,b^8-6802\,A^4\,a^6\,b^{10}+1417\,A^4\,a^4\,b^{12}+128\,A^4\,a^2\,b^{14}+32\,A^4\,b^{16}\right)}{64\,\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)}-\frac{\left(\frac{-18\,A^3\,a^{19}\,d^2+90\,A^3\,a^{17}\,b^2\,d^2+246\,A^3\,a^{15}\,b^4\,d^2+3314\,A^3\,a^{13}\,b^6\,d^2+7594\,A^3\,a^{11}\,b^8\,d^2+21582\,A^3\,a^9\,b^{10}\,d^2+26482\,A^3\,a^7\,b^{12}\,d^2+2758\,A^3\,a^5\,b^{14}\,d^2-6528\,A^3\,a^3\,b^{16}\,d^2+32\,A^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,A^2\,a^{21}\,b\,d^2+576\,A^2\,a^{19}\,b^3\,d^2+3488\,A^2\,a^{17}\,b^5\,d^2+13248\,A^2\,a^{15}\,b^7\,d^2+39088\,A^2\,a^{13}\,b^9\,d^2+72640\,A^2\,a^{11}\,b^{11}\,d^2+70240\,A^2\,a^9\,b^{13}\,d^2+28224\,A^2\,a^7\,b^{15}\,d^2+1352\,A^2\,a^5\,b^{17}\,d^2+1024\,A^2\,a^3\,b^{19}\,d^2+1472\,A^2\,a\,b^{21}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{64\,A\,a^{20}\,b^5\,d^4+2112\,A\,a^{18}\,b^7\,d^4+14592\,A\,a^{16}\,b^9\,d^4+48384\,A\,a^{14}\,b^{11}\,d^4+94080\,A\,a^{12}\,b^{13}\,d^4+115584\,A\,a^{10}\,b^{15}\,d^4+91392\,A\,a^8\,b^{17}\,d^4+45312\,A\,a^6\,b^{19}\,d^4+12864\,A\,a^4\,b^{21}\,d^4+1600\,A\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A^4\,a^{16}-18\,A^4\,a^{14}\,b^2+39\,A^4\,a^{12}\,b^4-1020\,A^4\,a^{10}\,b^6-1017\,A^4\,a^8\,b^8-6802\,A^4\,a^6\,b^{10}+1417\,A^4\,a^4\,b^{12}+128\,A^4\,a^2\,b^{14}+32\,A^4\,b^{16}\right)}{64\,\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)}+\frac{\left(\frac{-18\,A^3\,a^{19}\,d^2+90\,A^3\,a^{17}\,b^2\,d^2+246\,A^3\,a^{15}\,b^4\,d^2+3314\,A^3\,a^{13}\,b^6\,d^2+7594\,A^3\,a^{11}\,b^8\,d^2+21582\,A^3\,a^9\,b^{10}\,d^2+26482\,A^3\,a^7\,b^{12}\,d^2+2758\,A^3\,a^5\,b^{14}\,d^2-6528\,A^3\,a^3\,b^{16}\,d^2+32\,A^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,A^2\,a^{21}\,b\,d^2+576\,A^2\,a^{19}\,b^3\,d^2+3488\,A^2\,a^{17}\,b^5\,d^2+13248\,A^2\,a^{15}\,b^7\,d^2+39088\,A^2\,a^{13}\,b^9\,d^2+72640\,A^2\,a^{11}\,b^{11}\,d^2+70240\,A^2\,a^9\,b^{13}\,d^2+28224\,A^2\,a^7\,b^{15}\,d^2+1352\,A^2\,a^5\,b^{17}\,d^2+1024\,A^2\,a^3\,b^{19}\,d^2+1472\,A^2\,a\,b^{21}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{64\,A\,a^{20}\,b^5\,d^4+2112\,A\,a^{18}\,b^7\,d^4+14592\,A\,a^{16}\,b^9\,d^4+48384\,A\,a^{14}\,b^{11}\,d^4+94080\,A\,a^{12}\,b^{13}\,d^4+115584\,A\,a^{10}\,b^{15}\,d^4+91392\,A\,a^8\,b^{17}\,d^4+45312\,A\,a^6\,b^{19}\,d^4+12864\,A\,a^4\,b^{21}\,d^4+1600\,A\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}}\right)\,\sqrt{-64\,\left(9\,A^2\,a^{11}+36\,A^2\,a^9\,b^2+246\,A^2\,a^7\,b^4+420\,A^2\,a^5\,b^6+1225\,A^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}","Not used",1,"(log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2) - (64*B*a*b*(15*a^4 + 2*b^4 + 41*a^2*b^2))/d)*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^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^5*d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*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))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2) - (64*B*a*b*(15*a^4 + 2*b^4 + 41*a^2*b^2))/d)*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^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^5*d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*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))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log(- ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2) + (64*B*a*b*(15*a^4 + 2*b^4 + 41*a^2*b^2))/d)*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^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^5*d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*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))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log(- ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2) + (64*B*a*b*(15*a^4 + 2*b^4 + 41*a^2*b^2))/d)*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^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^5*d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*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))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + (log((((((((((64*A*a^2*b^2*(a^2 + 25*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*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^3*d^4*(a^2 + b^2)^8))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*A*a^2*b^2*(a^2 + 25*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*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^3*d^4*(a^2 + b^2)^8))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*A*a^2*b^2*(a^2 + 25*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*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^3*d^4*(a^2 + b^2)^8))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*A*a^2*b^2*(a^2 + 25*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*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^3*d^4*(a^2 + b^2)^8))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + ((tan(c + d*x)^(3/2)*(17*B*a^3*b^3 + 9*B*a^5*b))/(4*(a^4 + b^4 + 2*a^2*b^2)) + (a*tan(c + d*x)^(1/2)*(7*B*a^5 + 15*B*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)) - ((A*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*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(((((((32*B^3*a^2*b^19*d^2 + 12288*B^3*a^4*b^17*d^2 - 10974*B^3*a^6*b^15*d^2 - 105162*B^3*a^8*b^13*d^2 - 150758*B^3*a^10*b^11*d^2 - 85314*B^3*a^12*b^9*d^2 - 3578*B^3*a^14*b^7*d^2 + 22210*B^3*a^16*b^5*d^2 + 11550*B^3*a^18*b^3*d^2 + 2250*B^3*a^20*b*d^2)/(64*(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)) + (((((128*B*a*b^26*d^4 + 3648*B*a^3*b^24*d^4 + 25536*B*a^5*b^22*d^4 + 88320*B*a^7*b^20*d^4 + 182784*B*a^9*b^18*d^4 + 244608*B*a^11*b^16*d^4 + 217728*B*a^13*b^14*d^4 + 128256*B*a^15*b^12*d^4 + 48000*B*a^17*b^10*d^4 + 10304*B*a^19*b^8*d^4 + 960*B*a^21*b^6*d^4)/(64*(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)*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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))/(4096*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) + (tan(c + d*x)^(1/2)*(8448*B^2*a^5*b^19*d^2 - 1024*B^2*a^3*b^21*d^2 + 46088*B^2*a^7*b^17*d^2 + 177344*B^2*a^9*b^15*d^2 + 402912*B^2*a^11*b^13*d^2 + 541632*B^2*a^13*b^11*d^2 + 455472*B^2*a^15*b^9*d^2 + 248064*B^2*a^17*b^7*d^2 + 87008*B^2*a^19*b^5*d^2 + 18240*B^2*a^21*b^3*d^2 - 1472*B^2*a*b^23*d^2 + 1800*B^2*a^23*b*d^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) - (tan(c + d*x)^(1/2)*(32*B^4*b^18 - 225*B^4*a^18 + 128*B^4*a^2*b^16 + 192*B^4*a^4*b^14 - 3841*B^4*a^6*b^12 + 18050*B^4*a^8*b^10 + 26801*B^4*a^10*b^8 + 16860*B^4*a^12*b^6 + 4049*B^4*a^14*b^4 - 30*B^4*a^16*b^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2)*1i)/(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2) - (((((32*B^3*a^2*b^19*d^2 + 12288*B^3*a^4*b^17*d^2 - 10974*B^3*a^6*b^15*d^2 - 105162*B^3*a^8*b^13*d^2 - 150758*B^3*a^10*b^11*d^2 - 85314*B^3*a^12*b^9*d^2 - 3578*B^3*a^14*b^7*d^2 + 22210*B^3*a^16*b^5*d^2 + 11550*B^3*a^18*b^3*d^2 + 2250*B^3*a^20*b*d^2)/(64*(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)) + (((((128*B*a*b^26*d^4 + 3648*B*a^3*b^24*d^4 + 25536*B*a^5*b^22*d^4 + 88320*B*a^7*b^20*d^4 + 182784*B*a^9*b^18*d^4 + 244608*B*a^11*b^16*d^4 + 217728*B*a^13*b^14*d^4 + 128256*B*a^15*b^12*d^4 + 48000*B*a^17*b^10*d^4 + 10304*B*a^19*b^8*d^4 + 960*B*a^21*b^6*d^4)/(64*(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)*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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))/(4096*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) - (tan(c + d*x)^(1/2)*(8448*B^2*a^5*b^19*d^2 - 1024*B^2*a^3*b^21*d^2 + 46088*B^2*a^7*b^17*d^2 + 177344*B^2*a^9*b^15*d^2 + 402912*B^2*a^11*b^13*d^2 + 541632*B^2*a^13*b^11*d^2 + 455472*B^2*a^15*b^9*d^2 + 248064*B^2*a^17*b^7*d^2 + 87008*B^2*a^19*b^5*d^2 + 18240*B^2*a^21*b^3*d^2 - 1472*B^2*a*b^23*d^2 + 1800*B^2*a^23*b*d^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) + (tan(c + d*x)^(1/2)*(32*B^4*b^18 - 225*B^4*a^18 + 128*B^4*a^2*b^16 + 192*B^4*a^4*b^14 - 3841*B^4*a^6*b^12 + 18050*B^4*a^8*b^10 + 26801*B^4*a^10*b^8 + 16860*B^4*a^12*b^6 + 4049*B^4*a^14*b^4 - 30*B^4*a^16*b^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2)*1i)/(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))/((225*B^5*a^15 + 504*B^5*a^3*b^12 + 872*B^5*a^5*b^10 + 4457*B^5*a^7*b^8 + 5916*B^5*a^9*b^6 + 4006*B^5*a^11*b^4 + 1380*B^5*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) + (((((32*B^3*a^2*b^19*d^2 + 12288*B^3*a^4*b^17*d^2 - 10974*B^3*a^6*b^15*d^2 - 105162*B^3*a^8*b^13*d^2 - 150758*B^3*a^10*b^11*d^2 - 85314*B^3*a^12*b^9*d^2 - 3578*B^3*a^14*b^7*d^2 + 22210*B^3*a^16*b^5*d^2 + 11550*B^3*a^18*b^3*d^2 + 2250*B^3*a^20*b*d^2)/(64*(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)) + (((((128*B*a*b^26*d^4 + 3648*B*a^3*b^24*d^4 + 25536*B*a^5*b^22*d^4 + 88320*B*a^7*b^20*d^4 + 182784*B*a^9*b^18*d^4 + 244608*B*a^11*b^16*d^4 + 217728*B*a^13*b^14*d^4 + 128256*B*a^15*b^12*d^4 + 48000*B*a^17*b^10*d^4 + 10304*B*a^19*b^8*d^4 + 960*B*a^21*b^6*d^4)/(64*(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)*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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))/(4096*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) + (tan(c + d*x)^(1/2)*(8448*B^2*a^5*b^19*d^2 - 1024*B^2*a^3*b^21*d^2 + 46088*B^2*a^7*b^17*d^2 + 177344*B^2*a^9*b^15*d^2 + 402912*B^2*a^11*b^13*d^2 + 541632*B^2*a^13*b^11*d^2 + 455472*B^2*a^15*b^9*d^2 + 248064*B^2*a^17*b^7*d^2 + 87008*B^2*a^19*b^5*d^2 + 18240*B^2*a^21*b^3*d^2 - 1472*B^2*a*b^23*d^2 + 1800*B^2*a^23*b*d^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) - (tan(c + d*x)^(1/2)*(32*B^4*b^18 - 225*B^4*a^18 + 128*B^4*a^2*b^16 + 192*B^4*a^4*b^14 - 3841*B^4*a^6*b^12 + 18050*B^4*a^8*b^10 + 26801*B^4*a^10*b^8 + 16860*B^4*a^12*b^6 + 4049*B^4*a^14*b^4 - 30*B^4*a^16*b^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2) + (((((32*B^3*a^2*b^19*d^2 + 12288*B^3*a^4*b^17*d^2 - 10974*B^3*a^6*b^15*d^2 - 105162*B^3*a^8*b^13*d^2 - 150758*B^3*a^10*b^11*d^2 - 85314*B^3*a^12*b^9*d^2 - 3578*B^3*a^14*b^7*d^2 + 22210*B^3*a^16*b^5*d^2 + 11550*B^3*a^18*b^3*d^2 + 2250*B^3*a^20*b*d^2)/(64*(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)) + (((((128*B*a*b^26*d^4 + 3648*B*a^3*b^24*d^4 + 25536*B*a^5*b^22*d^4 + 88320*B*a^7*b^20*d^4 + 182784*B*a^9*b^18*d^4 + 244608*B*a^11*b^16*d^4 + 217728*B*a^13*b^14*d^4 + 128256*B*a^15*b^12*d^4 + 48000*B*a^17*b^10*d^4 + 10304*B*a^19*b^8*d^4 + 960*B*a^21*b^6*d^4)/(64*(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)*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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))/(4096*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) - (tan(c + d*x)^(1/2)*(8448*B^2*a^5*b^19*d^2 - 1024*B^2*a^3*b^21*d^2 + 46088*B^2*a^7*b^17*d^2 + 177344*B^2*a^9*b^15*d^2 + 402912*B^2*a^11*b^13*d^2 + 541632*B^2*a^13*b^11*d^2 + 455472*B^2*a^15*b^9*d^2 + 248064*B^2*a^17*b^7*d^2 + 87008*B^2*a^19*b^5*d^2 + 18240*B^2*a^21*b^3*d^2 - 1472*B^2*a*b^23*d^2 + 1800*B^2*a^23*b*d^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(64*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) + (tan(c + d*x)^(1/2)*(32*B^4*b^18 - 225*B^4*a^18 + 128*B^4*a^2*b^16 + 192*B^4*a^4*b^14 - 3841*B^4*a^6*b^12 + 18050*B^4*a^8*b^10 + 26801*B^4*a^10*b^8 + 16860*B^4*a^12*b^6 + 4049*B^4*a^14*b^4 - 30*B^4*a^16*b^2))/(64*(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)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2))/(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)))*(-64*(225*B^2*a^13 + 3969*B^2*a^5*b^8 + 5796*B^2*a^7*b^6 + 4006*B^2*a^9*b^4 + 1380*B^2*a^11*b^2)*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2))^(1/2)*1i)/(32*(b^19*d^2 + 6*a^2*b^17*d^2 + 15*a^4*b^15*d^2 + 20*a^6*b^13*d^2 + 15*a^8*b^11*d^2 + 6*a^10*b^9*d^2 + a^12*b^7*d^2)) + (atan(((((tan(c + d*x)^(1/2)*(9*A^4*a^16 + 32*A^4*b^16 + 128*A^4*a^2*b^14 + 1417*A^4*a^4*b^12 - 6802*A^4*a^6*b^10 - 1017*A^4*a^8*b^8 - 1020*A^4*a^10*b^6 + 39*A^4*a^12*b^4 - 18*A^4*a^14*b^2))/(64*(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)) - (((2758*A^3*a^5*b^14*d^2 - 6528*A^3*a^3*b^16*d^2 - 18*A^3*a^19*d^2 + 26482*A^3*a^7*b^12*d^2 + 21582*A^3*a^9*b^10*d^2 + 7594*A^3*a^11*b^8*d^2 + 3314*A^3*a^13*b^6*d^2 + 246*A^3*a^15*b^4*d^2 + 90*A^3*a^17*b^2*d^2 + 32*A^3*a*b^18*d^2)/(64*(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)*(1024*A^2*a^3*b^19*d^2 + 1352*A^2*a^5*b^17*d^2 + 28224*A^2*a^7*b^15*d^2 + 70240*A^2*a^9*b^13*d^2 + 72640*A^2*a^11*b^11*d^2 + 39088*A^2*a^13*b^9*d^2 + 13248*A^2*a^15*b^7*d^2 + 3488*A^2*a^17*b^5*d^2 + 576*A^2*a^19*b^3*d^2 + 1472*A^2*a*b^21*d^2 + 72*A^2*a^21*b*d^2))/(64*(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*a^2*b^23*d^4 + 12864*A*a^4*b^21*d^4 + 45312*A*a^6*b^19*d^4 + 91392*A*a^8*b^17*d^4 + 115584*A*a^10*b^15*d^4 + 94080*A*a^12*b^13*d^4 + 48384*A*a^14*b^11*d^4 + 14592*A*a^16*b^9*d^4 + 2112*A*a^18*b^7*d^4 + 64*A*a^20*b^5*d^4)/(64*(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)*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2)*1i)/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2) + (((tan(c + d*x)^(1/2)*(9*A^4*a^16 + 32*A^4*b^16 + 128*A^4*a^2*b^14 + 1417*A^4*a^4*b^12 - 6802*A^4*a^6*b^10 - 1017*A^4*a^8*b^8 - 1020*A^4*a^10*b^6 + 39*A^4*a^12*b^4 - 18*A^4*a^14*b^2))/(64*(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)) + (((2758*A^3*a^5*b^14*d^2 - 6528*A^3*a^3*b^16*d^2 - 18*A^3*a^19*d^2 + 26482*A^3*a^7*b^12*d^2 + 21582*A^3*a^9*b^10*d^2 + 7594*A^3*a^11*b^8*d^2 + 3314*A^3*a^13*b^6*d^2 + 246*A^3*a^15*b^4*d^2 + 90*A^3*a^17*b^2*d^2 + 32*A^3*a*b^18*d^2)/(64*(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)*(1024*A^2*a^3*b^19*d^2 + 1352*A^2*a^5*b^17*d^2 + 28224*A^2*a^7*b^15*d^2 + 70240*A^2*a^9*b^13*d^2 + 72640*A^2*a^11*b^11*d^2 + 39088*A^2*a^13*b^9*d^2 + 13248*A^2*a^15*b^7*d^2 + 3488*A^2*a^17*b^5*d^2 + 576*A^2*a^19*b^3*d^2 + 1472*A^2*a*b^21*d^2 + 72*A^2*a^21*b*d^2))/(64*(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*a^2*b^23*d^4 + 12864*A*a^4*b^21*d^4 + 45312*A*a^6*b^19*d^4 + 91392*A*a^8*b^17*d^4 + 115584*A*a^10*b^15*d^4 + 94080*A*a^12*b^13*d^4 + 48384*A*a^14*b^11*d^4 + 14592*A*a^16*b^9*d^4 + 2112*A*a^18*b^7*d^4 + 64*A*a^20*b^5*d^4)/(64*(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)*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2)*1i)/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))/((9*A^5*a^12*b + 280*A^5*a^2*b^11 + 1553*A^5*a^4*b^9 + 492*A^5*a^6*b^7 + 270*A^5*a^8*b^5 + 36*A^5*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^4*a^16 + 32*A^4*b^16 + 128*A^4*a^2*b^14 + 1417*A^4*a^4*b^12 - 6802*A^4*a^6*b^10 - 1017*A^4*a^8*b^8 - 1020*A^4*a^10*b^6 + 39*A^4*a^12*b^4 - 18*A^4*a^14*b^2))/(64*(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)) - (((2758*A^3*a^5*b^14*d^2 - 6528*A^3*a^3*b^16*d^2 - 18*A^3*a^19*d^2 + 26482*A^3*a^7*b^12*d^2 + 21582*A^3*a^9*b^10*d^2 + 7594*A^3*a^11*b^8*d^2 + 3314*A^3*a^13*b^6*d^2 + 246*A^3*a^15*b^4*d^2 + 90*A^3*a^17*b^2*d^2 + 32*A^3*a*b^18*d^2)/(64*(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)*(1024*A^2*a^3*b^19*d^2 + 1352*A^2*a^5*b^17*d^2 + 28224*A^2*a^7*b^15*d^2 + 70240*A^2*a^9*b^13*d^2 + 72640*A^2*a^11*b^11*d^2 + 39088*A^2*a^13*b^9*d^2 + 13248*A^2*a^15*b^7*d^2 + 3488*A^2*a^17*b^5*d^2 + 576*A^2*a^19*b^3*d^2 + 1472*A^2*a*b^21*d^2 + 72*A^2*a^21*b*d^2))/(64*(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*a^2*b^23*d^4 + 12864*A*a^4*b^21*d^4 + 45312*A*a^6*b^19*d^4 + 91392*A*a^8*b^17*d^4 + 115584*A*a^10*b^15*d^4 + 94080*A*a^12*b^13*d^4 + 48384*A*a^14*b^11*d^4 + 14592*A*a^16*b^9*d^4 + 2112*A*a^18*b^7*d^4 + 64*A*a^20*b^5*d^4)/(64*(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)*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2) + (((tan(c + d*x)^(1/2)*(9*A^4*a^16 + 32*A^4*b^16 + 128*A^4*a^2*b^14 + 1417*A^4*a^4*b^12 - 6802*A^4*a^6*b^10 - 1017*A^4*a^8*b^8 - 1020*A^4*a^10*b^6 + 39*A^4*a^12*b^4 - 18*A^4*a^14*b^2))/(64*(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)) + (((2758*A^3*a^5*b^14*d^2 - 6528*A^3*a^3*b^16*d^2 - 18*A^3*a^19*d^2 + 26482*A^3*a^7*b^12*d^2 + 21582*A^3*a^9*b^10*d^2 + 7594*A^3*a^11*b^8*d^2 + 3314*A^3*a^13*b^6*d^2 + 246*A^3*a^15*b^4*d^2 + 90*A^3*a^17*b^2*d^2 + 32*A^3*a*b^18*d^2)/(64*(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)*(1024*A^2*a^3*b^19*d^2 + 1352*A^2*a^5*b^17*d^2 + 28224*A^2*a^7*b^15*d^2 + 70240*A^2*a^9*b^13*d^2 + 72640*A^2*a^11*b^11*d^2 + 39088*A^2*a^13*b^9*d^2 + 13248*A^2*a^15*b^7*d^2 + 3488*A^2*a^17*b^5*d^2 + 576*A^2*a^19*b^3*d^2 + 1472*A^2*a*b^21*d^2 + 72*A^2*a^21*b*d^2))/(64*(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*a^2*b^23*d^4 + 12864*A*a^4*b^21*d^4 + 45312*A*a^6*b^19*d^4 + 91392*A*a^8*b^17*d^4 + 115584*A*a^10*b^15*d^4 + 94080*A*a^12*b^13*d^4 + 48384*A*a^14*b^11*d^4 + 14592*A*a^16*b^9*d^4 + 2112*A*a^18*b^7*d^4 + 64*A*a^20*b^5*d^4)/(64*(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)*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*A^2*a^11 + 1225*A^2*a^3*b^8 + 420*A^2*a^5*b^6 + 246*A^2*a^7*b^4 + 36*A^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2)*1i)/(32*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)) + (2*B*tan(c + d*x)^(1/2))/(b^3*d)","B"
411,1,26614,534,52.613062,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,\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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,\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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,\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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,\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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A\,a^3+9\,A\,a\,b^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{A\,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{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a^2\,b^2\,\left(a^2+25\,b^2\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}+36\,a^{10}\,b^2+238\,a^8\,b^4+452\,a^6\,b^6+1497\,a^4\,b^8-608\,a^2\,b^{10}+184\,b^{12}\right)}{b^2\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,\left(-9\,a^{14}+63\,a^{12}\,b^2+6\,a^{10}\,b^4+1582\,a^8\,b^6+627\,a^6\,b^8+7955\,a^4\,b^{10}-3296\,a^2\,b^{12}+16\,b^{14}\right)}{b^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,\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)}{b^3\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a^2\,\left(9\,a^{10}+36\,a^8\,b^2+270\,a^6\,b^4+492\,a^4\,b^6+1553\,a^2\,b^8+280\,b^{10}\right)}{2\,b^2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\frac{\frac{B\,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{B\,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}+\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\left(\frac{-18\,B^3\,a^{19}\,d^2+90\,B^3\,a^{17}\,b^2\,d^2+246\,B^3\,a^{15}\,b^4\,d^2+3314\,B^3\,a^{13}\,b^6\,d^2+7594\,B^3\,a^{11}\,b^8\,d^2+21582\,B^3\,a^9\,b^{10}\,d^2+26482\,B^3\,a^7\,b^{12}\,d^2+2758\,B^3\,a^5\,b^{14}\,d^2-6528\,B^3\,a^3\,b^{16}\,d^2+32\,B^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{21}\,b\,d^2+576\,B^2\,a^{19}\,b^3\,d^2+3488\,B^2\,a^{17}\,b^5\,d^2+13248\,B^2\,a^{15}\,b^7\,d^2+39088\,B^2\,a^{13}\,b^9\,d^2+72640\,B^2\,a^{11}\,b^{11}\,d^2+70240\,B^2\,a^9\,b^{13}\,d^2+28224\,B^2\,a^7\,b^{15}\,d^2+1352\,B^2\,a^5\,b^{17}\,d^2+1024\,B^2\,a^3\,b^{19}\,d^2+1472\,B^2\,a\,b^{21}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{64\,B\,a^{20}\,b^5\,d^4+2112\,B\,a^{18}\,b^7\,d^4+14592\,B\,a^{16}\,b^9\,d^4+48384\,B\,a^{14}\,b^{11}\,d^4+94080\,B\,a^{12}\,b^{13}\,d^4+115584\,B\,a^{10}\,b^{15}\,d^4+91392\,B\,a^8\,b^{17}\,d^4+45312\,B\,a^6\,b^{19}\,d^4+12864\,B\,a^4\,b^{21}\,d^4+1600\,B\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{16}-18\,B^4\,a^{14}\,b^2+39\,B^4\,a^{12}\,b^4-1020\,B^4\,a^{10}\,b^6-1017\,B^4\,a^8\,b^8-6802\,B^4\,a^6\,b^{10}+1417\,B^4\,a^4\,b^{12}+128\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}-\frac{\left(\frac{\left(\frac{-18\,B^3\,a^{19}\,d^2+90\,B^3\,a^{17}\,b^2\,d^2+246\,B^3\,a^{15}\,b^4\,d^2+3314\,B^3\,a^{13}\,b^6\,d^2+7594\,B^3\,a^{11}\,b^8\,d^2+21582\,B^3\,a^9\,b^{10}\,d^2+26482\,B^3\,a^7\,b^{12}\,d^2+2758\,B^3\,a^5\,b^{14}\,d^2-6528\,B^3\,a^3\,b^{16}\,d^2+32\,B^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{21}\,b\,d^2+576\,B^2\,a^{19}\,b^3\,d^2+3488\,B^2\,a^{17}\,b^5\,d^2+13248\,B^2\,a^{15}\,b^7\,d^2+39088\,B^2\,a^{13}\,b^9\,d^2+72640\,B^2\,a^{11}\,b^{11}\,d^2+70240\,B^2\,a^9\,b^{13}\,d^2+28224\,B^2\,a^7\,b^{15}\,d^2+1352\,B^2\,a^5\,b^{17}\,d^2+1024\,B^2\,a^3\,b^{19}\,d^2+1472\,B^2\,a\,b^{21}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{64\,B\,a^{20}\,b^5\,d^4+2112\,B\,a^{18}\,b^7\,d^4+14592\,B\,a^{16}\,b^9\,d^4+48384\,B\,a^{14}\,b^{11}\,d^4+94080\,B\,a^{12}\,b^{13}\,d^4+115584\,B\,a^{10}\,b^{15}\,d^4+91392\,B\,a^8\,b^{17}\,d^4+45312\,B\,a^6\,b^{19}\,d^4+12864\,B\,a^4\,b^{21}\,d^4+1600\,B\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{16}-18\,B^4\,a^{14}\,b^2+39\,B^4\,a^{12}\,b^4-1020\,B^4\,a^{10}\,b^6-1017\,B^4\,a^8\,b^8-6802\,B^4\,a^6\,b^{10}+1417\,B^4\,a^4\,b^{12}+128\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}}{\frac{9\,B^5\,a^{12}\,b+36\,B^5\,a^{10}\,b^3+270\,B^5\,a^8\,b^5+492\,B^5\,a^6\,b^7+1553\,B^5\,a^4\,b^9+280\,B^5\,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{\left(\frac{-18\,B^3\,a^{19}\,d^2+90\,B^3\,a^{17}\,b^2\,d^2+246\,B^3\,a^{15}\,b^4\,d^2+3314\,B^3\,a^{13}\,b^6\,d^2+7594\,B^3\,a^{11}\,b^8\,d^2+21582\,B^3\,a^9\,b^{10}\,d^2+26482\,B^3\,a^7\,b^{12}\,d^2+2758\,B^3\,a^5\,b^{14}\,d^2-6528\,B^3\,a^3\,b^{16}\,d^2+32\,B^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{21}\,b\,d^2+576\,B^2\,a^{19}\,b^3\,d^2+3488\,B^2\,a^{17}\,b^5\,d^2+13248\,B^2\,a^{15}\,b^7\,d^2+39088\,B^2\,a^{13}\,b^9\,d^2+72640\,B^2\,a^{11}\,b^{11}\,d^2+70240\,B^2\,a^9\,b^{13}\,d^2+28224\,B^2\,a^7\,b^{15}\,d^2+1352\,B^2\,a^5\,b^{17}\,d^2+1024\,B^2\,a^3\,b^{19}\,d^2+1472\,B^2\,a\,b^{21}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{64\,B\,a^{20}\,b^5\,d^4+2112\,B\,a^{18}\,b^7\,d^4+14592\,B\,a^{16}\,b^9\,d^4+48384\,B\,a^{14}\,b^{11}\,d^4+94080\,B\,a^{12}\,b^{13}\,d^4+115584\,B\,a^{10}\,b^{15}\,d^4+91392\,B\,a^8\,b^{17}\,d^4+45312\,B\,a^6\,b^{19}\,d^4+12864\,B\,a^4\,b^{21}\,d^4+1600\,B\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{16}-18\,B^4\,a^{14}\,b^2+39\,B^4\,a^{12}\,b^4-1020\,B^4\,a^{10}\,b^6-1017\,B^4\,a^8\,b^8-6802\,B^4\,a^6\,b^{10}+1417\,B^4\,a^4\,b^{12}+128\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}+\frac{\left(\frac{\left(\frac{-18\,B^3\,a^{19}\,d^2+90\,B^3\,a^{17}\,b^2\,d^2+246\,B^3\,a^{15}\,b^4\,d^2+3314\,B^3\,a^{13}\,b^6\,d^2+7594\,B^3\,a^{11}\,b^8\,d^2+21582\,B^3\,a^9\,b^{10}\,d^2+26482\,B^3\,a^7\,b^{12}\,d^2+2758\,B^3\,a^5\,b^{14}\,d^2-6528\,B^3\,a^3\,b^{16}\,d^2+32\,B^3\,a\,b^{18}\,d^2}{64\,\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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{21}\,b\,d^2+576\,B^2\,a^{19}\,b^3\,d^2+3488\,B^2\,a^{17}\,b^5\,d^2+13248\,B^2\,a^{15}\,b^7\,d^2+39088\,B^2\,a^{13}\,b^9\,d^2+72640\,B^2\,a^{11}\,b^{11}\,d^2+70240\,B^2\,a^9\,b^{13}\,d^2+28224\,B^2\,a^7\,b^{15}\,d^2+1352\,B^2\,a^5\,b^{17}\,d^2+1024\,B^2\,a^3\,b^{19}\,d^2+1472\,B^2\,a\,b^{21}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{64\,B\,a^{20}\,b^5\,d^4+2112\,B\,a^{18}\,b^7\,d^4+14592\,B\,a^{16}\,b^9\,d^4+48384\,B\,a^{14}\,b^{11}\,d^4+94080\,B\,a^{12}\,b^{13}\,d^4+115584\,B\,a^{10}\,b^{15}\,d^4+91392\,B\,a^8\,b^{17}\,d^4+45312\,B\,a^6\,b^{19}\,d^4+12864\,B\,a^4\,b^{21}\,d^4+1600\,B\,a^2\,b^{23}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,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)}{4096\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{64\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{16}-18\,B^4\,a^{14}\,b^2+39\,B^4\,a^{12}\,b^4-1020\,B^4\,a^{10}\,b^6-1017\,B^4\,a^8\,b^8-6802\,B^4\,a^6\,b^{10}+1417\,B^4\,a^4\,b^{12}+128\,B^4\,a^2\,b^{14}+32\,B^4\,b^{16}\right)}{64\,\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{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}}{a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2}}\right)\,\sqrt{-64\,\left(9\,B^2\,a^{11}+36\,B^2\,a^9\,b^2+246\,B^2\,a^7\,b^4+420\,B^2\,a^5\,b^6+1225\,B^2\,a^3\,b^8\right)\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{12}\,b^5\,d^2+6\,a^{10}\,b^7\,d^2+15\,a^8\,b^9\,d^2+20\,a^6\,b^{11}\,d^2+15\,a^4\,b^{13}\,d^2+6\,a^2\,b^{15}\,d^2+b^{17}\,d^2\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{10\,A^3\,a^{16}\,b\,d^2+382\,A^3\,a^{14}\,b^3\,d^2+2946\,A^3\,a^{12}\,b^5\,d^2-5498\,A^3\,a^{10}\,b^7\,d^2-8322\,A^3\,a^8\,b^9\,d^2+7386\,A^3\,a^6\,b^{11}\,d^2+5238\,A^3\,a^4\,b^{13}\,d^2-2398\,A^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,A\,a^{19}\,b^4\,d^4-4800\,A\,a^{17}\,b^6\,d^4-13056\,A\,a^{15}\,b^8\,d^4-16128\,A\,a^{13}\,b^{10}\,d^4-2688\,A\,a^{11}\,b^{12}\,d^4+18816\,A\,a^9\,b^{14}\,d^4+26880\,A\,a^7\,b^{16}\,d^4+17664\,A\,a^5\,b^{18}\,d^4+5952\,A\,a^3\,b^{20}\,d^4+832\,A\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{19}\,b\,d^2+384\,A^2\,a^{17}\,b^3\,d^2+3552\,A^2\,a^{15}\,b^5\,d^2+4032\,A^2\,a^{13}\,b^7\,d^2-5328\,A^2\,a^{11}\,b^9\,d^2-5056\,A^2\,a^9\,b^{11}\,d^2+10208\,A^2\,a^7\,b^{13}\,d^2+11328\,A^2\,a^5\,b^{15}\,d^2+776\,A^2\,a^3\,b^{17}\,d^2-1472\,A^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{14}+30\,A^4\,a^{12}\,b^2+79\,A^4\,a^{10}\,b^4-2300\,A^4\,a^8\,b^6+3631\,A^4\,a^6\,b^8-2082\,A^4\,a^4\,b^{10}+97\,A^4\,a^2\,b^{12}-32\,A^4\,b^{14}\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}-\frac{\left(\frac{\left(\frac{10\,A^3\,a^{16}\,b\,d^2+382\,A^3\,a^{14}\,b^3\,d^2+2946\,A^3\,a^{12}\,b^5\,d^2-5498\,A^3\,a^{10}\,b^7\,d^2-8322\,A^3\,a^8\,b^9\,d^2+7386\,A^3\,a^6\,b^{11}\,d^2+5238\,A^3\,a^4\,b^{13}\,d^2-2398\,A^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,A\,a^{19}\,b^4\,d^4-4800\,A\,a^{17}\,b^6\,d^4-13056\,A\,a^{15}\,b^8\,d^4-16128\,A\,a^{13}\,b^{10}\,d^4-2688\,A\,a^{11}\,b^{12}\,d^4+18816\,A\,a^9\,b^{14}\,d^4+26880\,A\,a^7\,b^{16}\,d^4+17664\,A\,a^5\,b^{18}\,d^4+5952\,A\,a^3\,b^{20}\,d^4+832\,A\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{19}\,b\,d^2+384\,A^2\,a^{17}\,b^3\,d^2+3552\,A^2\,a^{15}\,b^5\,d^2+4032\,A^2\,a^{13}\,b^7\,d^2-5328\,A^2\,a^{11}\,b^9\,d^2-5056\,A^2\,a^9\,b^{11}\,d^2+10208\,A^2\,a^7\,b^{13}\,d^2+11328\,A^2\,a^5\,b^{15}\,d^2+776\,A^2\,a^3\,b^{17}\,d^2-1472\,A^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{14}+30\,A^4\,a^{12}\,b^2+79\,A^4\,a^{10}\,b^4-2300\,A^4\,a^8\,b^6+3631\,A^4\,a^6\,b^8-2082\,A^4\,a^4\,b^{10}+97\,A^4\,a^2\,b^{12}-32\,A^4\,b^{14}\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}}{\frac{A^5\,a^{11}+36\,A^5\,a^9\,b^2+302\,A^5\,a^7\,b^4-388\,A^5\,a^5\,b^6+249\,A^5\,a^3\,b^8-120\,A^5\,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{\left(\frac{\left(\frac{10\,A^3\,a^{16}\,b\,d^2+382\,A^3\,a^{14}\,b^3\,d^2+2946\,A^3\,a^{12}\,b^5\,d^2-5498\,A^3\,a^{10}\,b^7\,d^2-8322\,A^3\,a^8\,b^9\,d^2+7386\,A^3\,a^6\,b^{11}\,d^2+5238\,A^3\,a^4\,b^{13}\,d^2-2398\,A^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,A\,a^{19}\,b^4\,d^4-4800\,A\,a^{17}\,b^6\,d^4-13056\,A\,a^{15}\,b^8\,d^4-16128\,A\,a^{13}\,b^{10}\,d^4-2688\,A\,a^{11}\,b^{12}\,d^4+18816\,A\,a^9\,b^{14}\,d^4+26880\,A\,a^7\,b^{16}\,d^4+17664\,A\,a^5\,b^{18}\,d^4+5952\,A\,a^3\,b^{20}\,d^4+832\,A\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{19}\,b\,d^2+384\,A^2\,a^{17}\,b^3\,d^2+3552\,A^2\,a^{15}\,b^5\,d^2+4032\,A^2\,a^{13}\,b^7\,d^2-5328\,A^2\,a^{11}\,b^9\,d^2-5056\,A^2\,a^9\,b^{11}\,d^2+10208\,A^2\,a^7\,b^{13}\,d^2+11328\,A^2\,a^5\,b^{15}\,d^2+776\,A^2\,a^3\,b^{17}\,d^2-1472\,A^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{14}+30\,A^4\,a^{12}\,b^2+79\,A^4\,a^{10}\,b^4-2300\,A^4\,a^8\,b^6+3631\,A^4\,a^6\,b^8-2082\,A^4\,a^4\,b^{10}+97\,A^4\,a^2\,b^{12}-32\,A^4\,b^{14}\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}+\frac{\left(\frac{\left(\frac{10\,A^3\,a^{16}\,b\,d^2+382\,A^3\,a^{14}\,b^3\,d^2+2946\,A^3\,a^{12}\,b^5\,d^2-5498\,A^3\,a^{10}\,b^7\,d^2-8322\,A^3\,a^8\,b^9\,d^2+7386\,A^3\,a^6\,b^{11}\,d^2+5238\,A^3\,a^4\,b^{13}\,d^2-2398\,A^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,A\,a^{19}\,b^4\,d^4-4800\,A\,a^{17}\,b^6\,d^4-13056\,A\,a^{15}\,b^8\,d^4-16128\,A\,a^{13}\,b^{10}\,d^4-2688\,A\,a^{11}\,b^{12}\,d^4+18816\,A\,a^9\,b^{14}\,d^4+26880\,A\,a^7\,b^{16}\,d^4+17664\,A\,a^5\,b^{18}\,d^4+5952\,A\,a^3\,b^{20}\,d^4+832\,A\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{19}\,b\,d^2+384\,A^2\,a^{17}\,b^3\,d^2+3552\,A^2\,a^{15}\,b^5\,d^2+4032\,A^2\,a^{13}\,b^7\,d^2-5328\,A^2\,a^{11}\,b^9\,d^2-5056\,A^2\,a^9\,b^{11}\,d^2+10208\,A^2\,a^7\,b^{13}\,d^2+11328\,A^2\,a^5\,b^{15}\,d^2+776\,A^2\,a^3\,b^{17}\,d^2-1472\,A^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(A^4\,a^{14}+30\,A^4\,a^{12}\,b^2+79\,A^4\,a^{10}\,b^4-2300\,A^4\,a^8\,b^6+3631\,A^4\,a^6\,b^8-2082\,A^4\,a^4\,b^{10}+97\,A^4\,a^2\,b^{12}-32\,A^4\,b^{14}\right)}{64\,\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)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}}\right)\,\sqrt{-64\,\left(A^2\,a^9+36\,A^2\,a^7\,b^2+294\,A^2\,a^5\,b^4-540\,A^2\,a^3\,b^6+225\,A^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}","Not used",1,"(log((((((((((64*A*a*b^3*(11*a^2 - 13*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*A*a*b^3*(11*a^2 - 13*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*A*a*b^3*(11*a^2 - 13*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*A*a*b^3*(11*a^2 - 13*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + ((tan(c + d*x)^(3/2)*(A*a^3 + 9*A*a*b^2))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (A*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((((((((((64*B*a^2*b^2*(a^2 + 25*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*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^3*d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*B*a^2*b^2*(a^2 + 25*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*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^3*d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*B*a^2*b^2*(a^2 + 25*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*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^3*d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*B*a^2*b^2*(a^2 + 25*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*a*tan(c + d*x)^(1/2)*(9*a^12 + 184*b^12 - 608*a^2*b^10 + 1497*a^4*b^8 + 452*a^6*b^6 + 238*a^8*b^4 + 36*a^10*b^2))/(b^2*d^2*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*(16*b^14 - 9*a^14 - 3296*a^2*b^12 + 7955*a^4*b^10 + 627*a^6*b^8 + 1582*a^8*b^6 + 6*a^10*b^4 + 63*a^12*b^2))/(b^3*d^3*(a^2 + b^2)^6))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*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^3*d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a^2*(9*a^10 + 280*b^10 + 1553*a^2*b^8 + 492*a^4*b^6 + 270*a^6*b^4 + 36*a^8*b^2))/(2*b^2*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - ((B*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)) + (B*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(-((((((2758*B^3*a^5*b^14*d^2 - 6528*B^3*a^3*b^16*d^2 - 18*B^3*a^19*d^2 + 26482*B^3*a^7*b^12*d^2 + 21582*B^3*a^9*b^10*d^2 + 7594*B^3*a^11*b^8*d^2 + 3314*B^3*a^13*b^6*d^2 + 246*B^3*a^15*b^4*d^2 + 90*B^3*a^17*b^2*d^2 + 32*B^3*a*b^18*d^2)/(64*(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)*(1024*B^2*a^3*b^19*d^2 + 1352*B^2*a^5*b^17*d^2 + 28224*B^2*a^7*b^15*d^2 + 70240*B^2*a^9*b^13*d^2 + 72640*B^2*a^11*b^11*d^2 + 39088*B^2*a^13*b^9*d^2 + 13248*B^2*a^15*b^7*d^2 + 3488*B^2*a^17*b^5*d^2 + 576*B^2*a^19*b^3*d^2 + 1472*B^2*a*b^21*d^2 + 72*B^2*a^21*b*d^2))/(64*(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*B*a^2*b^23*d^4 + 12864*B*a^4*b^21*d^4 + 45312*B*a^6*b^19*d^4 + 91392*B*a^8*b^17*d^4 + 115584*B*a^10*b^15*d^4 + 94080*B*a^12*b^13*d^4 + 48384*B*a^14*b^11*d^4 + 14592*B*a^16*b^9*d^4 + 2112*B*a^18*b^7*d^4 + 64*B*a^20*b^5*d^4)/(64*(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)*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)) - (tan(c + d*x)^(1/2)*(9*B^4*a^16 + 32*B^4*b^16 + 128*B^4*a^2*b^14 + 1417*B^4*a^4*b^12 - 6802*B^4*a^6*b^10 - 1017*B^4*a^8*b^8 - 1020*B^4*a^10*b^6 + 39*B^4*a^12*b^4 - 18*B^4*a^14*b^2))/(64*(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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2)*1i)/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2) - (((((2758*B^3*a^5*b^14*d^2 - 6528*B^3*a^3*b^16*d^2 - 18*B^3*a^19*d^2 + 26482*B^3*a^7*b^12*d^2 + 21582*B^3*a^9*b^10*d^2 + 7594*B^3*a^11*b^8*d^2 + 3314*B^3*a^13*b^6*d^2 + 246*B^3*a^15*b^4*d^2 + 90*B^3*a^17*b^2*d^2 + 32*B^3*a*b^18*d^2)/(64*(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)*(1024*B^2*a^3*b^19*d^2 + 1352*B^2*a^5*b^17*d^2 + 28224*B^2*a^7*b^15*d^2 + 70240*B^2*a^9*b^13*d^2 + 72640*B^2*a^11*b^11*d^2 + 39088*B^2*a^13*b^9*d^2 + 13248*B^2*a^15*b^7*d^2 + 3488*B^2*a^17*b^5*d^2 + 576*B^2*a^19*b^3*d^2 + 1472*B^2*a*b^21*d^2 + 72*B^2*a^21*b*d^2))/(64*(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*B*a^2*b^23*d^4 + 12864*B*a^4*b^21*d^4 + 45312*B*a^6*b^19*d^4 + 91392*B*a^8*b^17*d^4 + 115584*B*a^10*b^15*d^4 + 94080*B*a^12*b^13*d^4 + 48384*B*a^14*b^11*d^4 + 14592*B*a^16*b^9*d^4 + 2112*B*a^18*b^7*d^4 + 64*B*a^20*b^5*d^4)/(64*(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)*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)) + (tan(c + d*x)^(1/2)*(9*B^4*a^16 + 32*B^4*b^16 + 128*B^4*a^2*b^14 + 1417*B^4*a^4*b^12 - 6802*B^4*a^6*b^10 - 1017*B^4*a^8*b^8 - 1020*B^4*a^10*b^6 + 39*B^4*a^12*b^4 - 18*B^4*a^14*b^2))/(64*(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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2)*1i)/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))/((9*B^5*a^12*b + 280*B^5*a^2*b^11 + 1553*B^5*a^4*b^9 + 492*B^5*a^6*b^7 + 270*B^5*a^8*b^5 + 36*B^5*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) + (((((2758*B^3*a^5*b^14*d^2 - 6528*B^3*a^3*b^16*d^2 - 18*B^3*a^19*d^2 + 26482*B^3*a^7*b^12*d^2 + 21582*B^3*a^9*b^10*d^2 + 7594*B^3*a^11*b^8*d^2 + 3314*B^3*a^13*b^6*d^2 + 246*B^3*a^15*b^4*d^2 + 90*B^3*a^17*b^2*d^2 + 32*B^3*a*b^18*d^2)/(64*(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)*(1024*B^2*a^3*b^19*d^2 + 1352*B^2*a^5*b^17*d^2 + 28224*B^2*a^7*b^15*d^2 + 70240*B^2*a^9*b^13*d^2 + 72640*B^2*a^11*b^11*d^2 + 39088*B^2*a^13*b^9*d^2 + 13248*B^2*a^15*b^7*d^2 + 3488*B^2*a^17*b^5*d^2 + 576*B^2*a^19*b^3*d^2 + 1472*B^2*a*b^21*d^2 + 72*B^2*a^21*b*d^2))/(64*(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*B*a^2*b^23*d^4 + 12864*B*a^4*b^21*d^4 + 45312*B*a^6*b^19*d^4 + 91392*B*a^8*b^17*d^4 + 115584*B*a^10*b^15*d^4 + 94080*B*a^12*b^13*d^4 + 48384*B*a^14*b^11*d^4 + 14592*B*a^16*b^9*d^4 + 2112*B*a^18*b^7*d^4 + 64*B*a^20*b^5*d^4)/(64*(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)*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)) - (tan(c + d*x)^(1/2)*(9*B^4*a^16 + 32*B^4*b^16 + 128*B^4*a^2*b^14 + 1417*B^4*a^4*b^12 - 6802*B^4*a^6*b^10 - 1017*B^4*a^8*b^8 - 1020*B^4*a^10*b^6 + 39*B^4*a^12*b^4 - 18*B^4*a^14*b^2))/(64*(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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2) + (((((2758*B^3*a^5*b^14*d^2 - 6528*B^3*a^3*b^16*d^2 - 18*B^3*a^19*d^2 + 26482*B^3*a^7*b^12*d^2 + 21582*B^3*a^9*b^10*d^2 + 7594*B^3*a^11*b^8*d^2 + 3314*B^3*a^13*b^6*d^2 + 246*B^3*a^15*b^4*d^2 + 90*B^3*a^17*b^2*d^2 + 32*B^3*a*b^18*d^2)/(64*(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)*(1024*B^2*a^3*b^19*d^2 + 1352*B^2*a^5*b^17*d^2 + 28224*B^2*a^7*b^15*d^2 + 70240*B^2*a^9*b^13*d^2 + 72640*B^2*a^11*b^11*d^2 + 39088*B^2*a^13*b^9*d^2 + 13248*B^2*a^15*b^7*d^2 + 3488*B^2*a^17*b^5*d^2 + 576*B^2*a^19*b^3*d^2 + 1472*B^2*a*b^21*d^2 + 72*B^2*a^21*b*d^2))/(64*(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*B*a^2*b^23*d^4 + 12864*B*a^4*b^21*d^4 + 45312*B*a^6*b^19*d^4 + 91392*B*a^8*b^17*d^4 + 115584*B*a^10*b^15*d^4 + 94080*B*a^12*b^13*d^4 + 48384*B*a^14*b^11*d^4 + 14592*B*a^16*b^9*d^4 + 2112*B*a^18*b^7*d^4 + 64*B*a^20*b^5*d^4)/(64*(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)*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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))/(4096*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(64*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)) + (tan(c + d*x)^(1/2)*(9*B^4*a^16 + 32*B^4*b^16 + 128*B^4*a^2*b^14 + 1417*B^4*a^4*b^12 - 6802*B^4*a^6*b^10 - 1017*B^4*a^8*b^8 - 1020*B^4*a^10*b^6 + 39*B^4*a^12*b^4 - 18*B^4*a^14*b^2))/(64*(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)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2))/(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)))*(-64*(9*B^2*a^11 + 1225*B^2*a^3*b^8 + 420*B^2*a^5*b^6 + 246*B^2*a^7*b^4 + 36*B^2*a^9*b^2)*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2))^(1/2)*1i)/(32*(b^17*d^2 + 6*a^2*b^15*d^2 + 15*a^4*b^13*d^2 + 20*a^6*b^11*d^2 + 15*a^8*b^9*d^2 + 6*a^10*b^7*d^2 + a^12*b^5*d^2)) + (atan(((((((5238*A^3*a^4*b^13*d^2 - 2398*A^3*a^2*b^15*d^2 + 7386*A^3*a^6*b^11*d^2 - 8322*A^3*a^8*b^9*d^2 - 5498*A^3*a^10*b^7*d^2 + 2946*A^3*a^12*b^5*d^2 + 382*A^3*a^14*b^3*d^2 + 10*A^3*a^16*b*d^2)/(64*(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)) - (((((832*A*a*b^22*d^4 + 5952*A*a^3*b^20*d^4 + 17664*A*a^5*b^18*d^4 + 26880*A*a^7*b^16*d^4 + 18816*A*a^9*b^14*d^4 - 2688*A*a^11*b^12*d^4 - 16128*A*a^13*b^10*d^4 - 13056*A*a^15*b^8*d^4 - 4800*A*a^17*b^6*d^4 - 704*A*a^19*b^4*d^4)/(64*(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)*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) + (tan(c + d*x)^(1/2)*(776*A^2*a^3*b^17*d^2 + 11328*A^2*a^5*b^15*d^2 + 10208*A^2*a^7*b^13*d^2 - 5056*A^2*a^9*b^11*d^2 - 5328*A^2*a^11*b^9*d^2 + 4032*A^2*a^13*b^7*d^2 + 3552*A^2*a^15*b^5*d^2 + 384*A^2*a^17*b^3*d^2 - 1472*A^2*a*b^19*d^2 + 8*A^2*a^19*b*d^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) - (tan(c + d*x)^(1/2)*(A^4*a^14 - 32*A^4*b^14 + 97*A^4*a^2*b^12 - 2082*A^4*a^4*b^10 + 3631*A^4*a^6*b^8 - 2300*A^4*a^8*b^6 + 79*A^4*a^10*b^4 + 30*A^4*a^12*b^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2)*1i)/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2) - (((((5238*A^3*a^4*b^13*d^2 - 2398*A^3*a^2*b^15*d^2 + 7386*A^3*a^6*b^11*d^2 - 8322*A^3*a^8*b^9*d^2 - 5498*A^3*a^10*b^7*d^2 + 2946*A^3*a^12*b^5*d^2 + 382*A^3*a^14*b^3*d^2 + 10*A^3*a^16*b*d^2)/(64*(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)) - (((((832*A*a*b^22*d^4 + 5952*A*a^3*b^20*d^4 + 17664*A*a^5*b^18*d^4 + 26880*A*a^7*b^16*d^4 + 18816*A*a^9*b^14*d^4 - 2688*A*a^11*b^12*d^4 - 16128*A*a^13*b^10*d^4 - 13056*A*a^15*b^8*d^4 - 4800*A*a^17*b^6*d^4 - 704*A*a^19*b^4*d^4)/(64*(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)*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) - (tan(c + d*x)^(1/2)*(776*A^2*a^3*b^17*d^2 + 11328*A^2*a^5*b^15*d^2 + 10208*A^2*a^7*b^13*d^2 - 5056*A^2*a^9*b^11*d^2 - 5328*A^2*a^11*b^9*d^2 + 4032*A^2*a^13*b^7*d^2 + 3552*A^2*a^15*b^5*d^2 + 384*A^2*a^17*b^3*d^2 - 1472*A^2*a*b^19*d^2 + 8*A^2*a^19*b*d^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) + (tan(c + d*x)^(1/2)*(A^4*a^14 - 32*A^4*b^14 + 97*A^4*a^2*b^12 - 2082*A^4*a^4*b^10 + 3631*A^4*a^6*b^8 - 2300*A^4*a^8*b^6 + 79*A^4*a^10*b^4 + 30*A^4*a^12*b^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2)*1i)/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))/((A^5*a^11 - 120*A^5*a*b^10 + 249*A^5*a^3*b^8 - 388*A^5*a^5*b^6 + 302*A^5*a^7*b^4 + 36*A^5*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) + (((((5238*A^3*a^4*b^13*d^2 - 2398*A^3*a^2*b^15*d^2 + 7386*A^3*a^6*b^11*d^2 - 8322*A^3*a^8*b^9*d^2 - 5498*A^3*a^10*b^7*d^2 + 2946*A^3*a^12*b^5*d^2 + 382*A^3*a^14*b^3*d^2 + 10*A^3*a^16*b*d^2)/(64*(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)) - (((((832*A*a*b^22*d^4 + 5952*A*a^3*b^20*d^4 + 17664*A*a^5*b^18*d^4 + 26880*A*a^7*b^16*d^4 + 18816*A*a^9*b^14*d^4 - 2688*A*a^11*b^12*d^4 - 16128*A*a^13*b^10*d^4 - 13056*A*a^15*b^8*d^4 - 4800*A*a^17*b^6*d^4 - 704*A*a^19*b^4*d^4)/(64*(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)*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) + (tan(c + d*x)^(1/2)*(776*A^2*a^3*b^17*d^2 + 11328*A^2*a^5*b^15*d^2 + 10208*A^2*a^7*b^13*d^2 - 5056*A^2*a^9*b^11*d^2 - 5328*A^2*a^11*b^9*d^2 + 4032*A^2*a^13*b^7*d^2 + 3552*A^2*a^15*b^5*d^2 + 384*A^2*a^17*b^3*d^2 - 1472*A^2*a*b^19*d^2 + 8*A^2*a^19*b*d^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) - (tan(c + d*x)^(1/2)*(A^4*a^14 - 32*A^4*b^14 + 97*A^4*a^2*b^12 - 2082*A^4*a^4*b^10 + 3631*A^4*a^6*b^8 - 2300*A^4*a^8*b^6 + 79*A^4*a^10*b^4 + 30*A^4*a^12*b^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2) + (((((5238*A^3*a^4*b^13*d^2 - 2398*A^3*a^2*b^15*d^2 + 7386*A^3*a^6*b^11*d^2 - 8322*A^3*a^8*b^9*d^2 - 5498*A^3*a^10*b^7*d^2 + 2946*A^3*a^12*b^5*d^2 + 382*A^3*a^14*b^3*d^2 + 10*A^3*a^16*b*d^2)/(64*(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)) - (((((832*A*a*b^22*d^4 + 5952*A*a^3*b^20*d^4 + 17664*A*a^5*b^18*d^4 + 26880*A*a^7*b^16*d^4 + 18816*A*a^9*b^14*d^4 - 2688*A*a^11*b^12*d^4 - 16128*A*a^13*b^10*d^4 - 13056*A*a^15*b^8*d^4 - 4800*A*a^17*b^6*d^4 - 704*A*a^19*b^4*d^4)/(64*(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)*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) - (tan(c + d*x)^(1/2)*(776*A^2*a^3*b^17*d^2 + 11328*A^2*a^5*b^15*d^2 + 10208*A^2*a^7*b^13*d^2 - 5056*A^2*a^9*b^11*d^2 - 5328*A^2*a^11*b^9*d^2 + 4032*A^2*a^13*b^7*d^2 + 3552*A^2*a^15*b^5*d^2 + 384*A^2*a^17*b^3*d^2 - 1472*A^2*a*b^19*d^2 + 8*A^2*a^19*b*d^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) + (tan(c + d*x)^(1/2)*(A^4*a^14 - 32*A^4*b^14 + 97*A^4*a^2*b^12 - 2082*A^4*a^4*b^10 + 3631*A^4*a^6*b^8 - 2300*A^4*a^8*b^6 + 79*A^4*a^10*b^4 + 30*A^4*a^12*b^2))/(64*(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)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(A^2*a^9 + 225*A^2*a*b^8 - 540*A^2*a^3*b^6 + 294*A^2*a^5*b^4 + 36*A^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2)*1i)/(32*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))","B"
412,1,25944,533,53.109082,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,a\,b^3\,\left(11\,a^2-13\,b^2\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,\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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,a\,\left(a^{10}+36\,a^8\,b^2+302\,a^6\,b^4-388\,a^4\,b^6+249\,a^2\,b^8-120\,b^{10}\right)}{2\,b\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(B\,a^3+9\,B\,a\,b^2\right)}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{B\,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{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,A^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(5\,A\,b^3-3\,A\,a^2\,b\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\,a^2-3\,A\,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}+\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A^4\,a^{12}\,b-210\,A^4\,a^{10}\,b^3+1671\,A^4\,a^8\,b^5-4348\,A^4\,a^6\,b^7+1831\,A^4\,a^4\,b^9-82\,A^4\,a^2\,b^{11}+41\,A^4\,b^{13}\right)}{64\,\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)}-\frac{\left(\frac{-18\,A^3\,a^{15}\,b\,d^2+506\,A^3\,a^{13}\,b^3\,d^2-3338\,A^3\,a^{11}\,b^5\,d^2+5298\,A^3\,a^9\,b^7\,d^2+17194\,A^3\,a^7\,b^9\,d^2+3022\,A^3\,a^5\,b^{11}\,d^2-4494\,A^3\,a^3\,b^{13}\,d^2+518\,A^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{17}\,b^2\,d^2-960\,A^2\,a^{15}\,b^4\,d^2+3808\,A^2\,a^{13}\,b^6\,d^2+18880\,A^2\,a^{11}\,b^8\,d^2+19504\,A^2\,a^9\,b^{10}\,d^2-576\,A^2\,a^7\,b^{12}\,d^2-7456\,A^2\,a^5\,b^{14}\,d^2+64\,A^2\,a^3\,b^{16}\,d^2+1544\,A^2\,a\,b^{18}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{-128\,A\,a^{20}\,b^2\,d^4+192\,A\,a^{18}\,b^4\,d^4+5952\,A\,a^{16}\,b^6\,d^4+25344\,A\,a^{14}\,b^8\,d^4+53760\,A\,a^{12}\,b^{10}\,d^4+67200\,A\,a^{10}\,b^{12}\,d^4+51072\,A\,a^8\,b^{14}\,d^4+22272\,A\,a^6\,b^{16}\,d^4+4224\,A\,a^4\,b^{18}\,d^4-320\,A\,a^2\,b^{20}\,d^4-192\,A\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A^4\,a^{12}\,b-210\,A^4\,a^{10}\,b^3+1671\,A^4\,a^8\,b^5-4348\,A^4\,a^6\,b^7+1831\,A^4\,a^4\,b^9-82\,A^4\,a^2\,b^{11}+41\,A^4\,b^{13}\right)}{64\,\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)}+\frac{\left(\frac{-18\,A^3\,a^{15}\,b\,d^2+506\,A^3\,a^{13}\,b^3\,d^2-3338\,A^3\,a^{11}\,b^5\,d^2+5298\,A^3\,a^9\,b^7\,d^2+17194\,A^3\,a^7\,b^9\,d^2+3022\,A^3\,a^5\,b^{11}\,d^2-4494\,A^3\,a^3\,b^{13}\,d^2+518\,A^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{17}\,b^2\,d^2-960\,A^2\,a^{15}\,b^4\,d^2+3808\,A^2\,a^{13}\,b^6\,d^2+18880\,A^2\,a^{11}\,b^8\,d^2+19504\,A^2\,a^9\,b^{10}\,d^2-576\,A^2\,a^7\,b^{12}\,d^2-7456\,A^2\,a^5\,b^{14}\,d^2+64\,A^2\,a^3\,b^{16}\,d^2+1544\,A^2\,a\,b^{18}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{-128\,A\,a^{20}\,b^2\,d^4+192\,A\,a^{18}\,b^4\,d^4+5952\,A\,a^{16}\,b^6\,d^4+25344\,A\,a^{14}\,b^8\,d^4+53760\,A\,a^{12}\,b^{10}\,d^4+67200\,A\,a^{10}\,b^{12}\,d^4+51072\,A\,a^8\,b^{14}\,d^4+22272\,A\,a^6\,b^{16}\,d^4+4224\,A\,a^4\,b^{18}\,d^4-320\,A\,a^2\,b^{20}\,d^4-192\,A\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}}{\frac{9\,A^5\,a^8\,b^2-180\,A^5\,a^6\,b^4+878\,A^5\,a^4\,b^6+28\,A^5\,a^2\,b^8-15\,A^5\,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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A^4\,a^{12}\,b-210\,A^4\,a^{10}\,b^3+1671\,A^4\,a^8\,b^5-4348\,A^4\,a^6\,b^7+1831\,A^4\,a^4\,b^9-82\,A^4\,a^2\,b^{11}+41\,A^4\,b^{13}\right)}{64\,\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)}-\frac{\left(\frac{-18\,A^3\,a^{15}\,b\,d^2+506\,A^3\,a^{13}\,b^3\,d^2-3338\,A^3\,a^{11}\,b^5\,d^2+5298\,A^3\,a^9\,b^7\,d^2+17194\,A^3\,a^7\,b^9\,d^2+3022\,A^3\,a^5\,b^{11}\,d^2-4494\,A^3\,a^3\,b^{13}\,d^2+518\,A^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{17}\,b^2\,d^2-960\,A^2\,a^{15}\,b^4\,d^2+3808\,A^2\,a^{13}\,b^6\,d^2+18880\,A^2\,a^{11}\,b^8\,d^2+19504\,A^2\,a^9\,b^{10}\,d^2-576\,A^2\,a^7\,b^{12}\,d^2-7456\,A^2\,a^5\,b^{14}\,d^2+64\,A^2\,a^3\,b^{16}\,d^2+1544\,A^2\,a\,b^{18}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{-128\,A\,a^{20}\,b^2\,d^4+192\,A\,a^{18}\,b^4\,d^4+5952\,A\,a^{16}\,b^6\,d^4+25344\,A\,a^{14}\,b^8\,d^4+53760\,A\,a^{12}\,b^{10}\,d^4+67200\,A\,a^{10}\,b^{12}\,d^4+51072\,A\,a^8\,b^{14}\,d^4+22272\,A\,a^6\,b^{16}\,d^4+4224\,A\,a^4\,b^{18}\,d^4-320\,A\,a^2\,b^{20}\,d^4-192\,A\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A^4\,a^{12}\,b-210\,A^4\,a^{10}\,b^3+1671\,A^4\,a^8\,b^5-4348\,A^4\,a^6\,b^7+1831\,A^4\,a^4\,b^9-82\,A^4\,a^2\,b^{11}+41\,A^4\,b^{13}\right)}{64\,\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)}+\frac{\left(\frac{-18\,A^3\,a^{15}\,b\,d^2+506\,A^3\,a^{13}\,b^3\,d^2-3338\,A^3\,a^{11}\,b^5\,d^2+5298\,A^3\,a^9\,b^7\,d^2+17194\,A^3\,a^7\,b^9\,d^2+3022\,A^3\,a^5\,b^{11}\,d^2-4494\,A^3\,a^3\,b^{13}\,d^2+518\,A^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,A^2\,a^{17}\,b^2\,d^2-960\,A^2\,a^{15}\,b^4\,d^2+3808\,A^2\,a^{13}\,b^6\,d^2+18880\,A^2\,a^{11}\,b^8\,d^2+19504\,A^2\,a^9\,b^{10}\,d^2-576\,A^2\,a^7\,b^{12}\,d^2-7456\,A^2\,a^5\,b^{14}\,d^2+64\,A^2\,a^3\,b^{16}\,d^2+1544\,A^2\,a\,b^{18}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{-128\,A\,a^{20}\,b^2\,d^4+192\,A\,a^{18}\,b^4\,d^4+5952\,A\,a^{16}\,b^6\,d^4+25344\,A\,a^{14}\,b^8\,d^4+53760\,A\,a^{12}\,b^{10}\,d^4+67200\,A\,a^{10}\,b^{12}\,d^4+51072\,A\,a^8\,b^{14}\,d^4+22272\,A\,a^6\,b^{16}\,d^4+4224\,A\,a^4\,b^{18}\,d^4-320\,A\,a^2\,b^{20}\,d^4-192\,A\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}}\right)\,\sqrt{-64\,\left(9\,A^2\,a^8-156\,A^2\,a^6\,b^2+694\,A^2\,a^4\,b^4-156\,A^2\,a^2\,b^6+9\,A^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}+\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+30\,B^4\,a^{12}\,b^2+79\,B^4\,a^{10}\,b^4-2300\,B^4\,a^8\,b^6+3631\,B^4\,a^6\,b^8-2082\,B^4\,a^4\,b^{10}+97\,B^4\,a^2\,b^{12}-32\,B^4\,b^{14}\right)}{64\,\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)}-\frac{\left(\frac{10\,B^3\,a^{16}\,b\,d^2+382\,B^3\,a^{14}\,b^3\,d^2+2946\,B^3\,a^{12}\,b^5\,d^2-5498\,B^3\,a^{10}\,b^7\,d^2-8322\,B^3\,a^8\,b^9\,d^2+7386\,B^3\,a^6\,b^{11}\,d^2+5238\,B^3\,a^4\,b^{13}\,d^2-2398\,B^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,B\,a^{19}\,b^4\,d^4-4800\,B\,a^{17}\,b^6\,d^4-13056\,B\,a^{15}\,b^8\,d^4-16128\,B\,a^{13}\,b^{10}\,d^4-2688\,B\,a^{11}\,b^{12}\,d^4+18816\,B\,a^9\,b^{14}\,d^4+26880\,B\,a^7\,b^{16}\,d^4+17664\,B\,a^5\,b^{18}\,d^4+5952\,B\,a^3\,b^{20}\,d^4+832\,B\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{19}\,b\,d^2+384\,B^2\,a^{17}\,b^3\,d^2+3552\,B^2\,a^{15}\,b^5\,d^2+4032\,B^2\,a^{13}\,b^7\,d^2-5328\,B^2\,a^{11}\,b^9\,d^2-5056\,B^2\,a^9\,b^{11}\,d^2+10208\,B^2\,a^7\,b^{13}\,d^2+11328\,B^2\,a^5\,b^{15}\,d^2+776\,B^2\,a^3\,b^{17}\,d^2-1472\,B^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+30\,B^4\,a^{12}\,b^2+79\,B^4\,a^{10}\,b^4-2300\,B^4\,a^8\,b^6+3631\,B^4\,a^6\,b^8-2082\,B^4\,a^4\,b^{10}+97\,B^4\,a^2\,b^{12}-32\,B^4\,b^{14}\right)}{64\,\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)}+\frac{\left(\frac{10\,B^3\,a^{16}\,b\,d^2+382\,B^3\,a^{14}\,b^3\,d^2+2946\,B^3\,a^{12}\,b^5\,d^2-5498\,B^3\,a^{10}\,b^7\,d^2-8322\,B^3\,a^8\,b^9\,d^2+7386\,B^3\,a^6\,b^{11}\,d^2+5238\,B^3\,a^4\,b^{13}\,d^2-2398\,B^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,B\,a^{19}\,b^4\,d^4-4800\,B\,a^{17}\,b^6\,d^4-13056\,B\,a^{15}\,b^8\,d^4-16128\,B\,a^{13}\,b^{10}\,d^4-2688\,B\,a^{11}\,b^{12}\,d^4+18816\,B\,a^9\,b^{14}\,d^4+26880\,B\,a^7\,b^{16}\,d^4+17664\,B\,a^5\,b^{18}\,d^4+5952\,B\,a^3\,b^{20}\,d^4+832\,B\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{19}\,b\,d^2+384\,B^2\,a^{17}\,b^3\,d^2+3552\,B^2\,a^{15}\,b^5\,d^2+4032\,B^2\,a^{13}\,b^7\,d^2-5328\,B^2\,a^{11}\,b^9\,d^2-5056\,B^2\,a^9\,b^{11}\,d^2+10208\,B^2\,a^7\,b^{13}\,d^2+11328\,B^2\,a^5\,b^{15}\,d^2+776\,B^2\,a^3\,b^{17}\,d^2-1472\,B^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\,1{}\mathrm{i}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}}{\frac{B^5\,a^{11}+36\,B^5\,a^9\,b^2+302\,B^5\,a^7\,b^4-388\,B^5\,a^5\,b^6+249\,B^5\,a^3\,b^8-120\,B^5\,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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+30\,B^4\,a^{12}\,b^2+79\,B^4\,a^{10}\,b^4-2300\,B^4\,a^8\,b^6+3631\,B^4\,a^6\,b^8-2082\,B^4\,a^4\,b^{10}+97\,B^4\,a^2\,b^{12}-32\,B^4\,b^{14}\right)}{64\,\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)}-\frac{\left(\frac{10\,B^3\,a^{16}\,b\,d^2+382\,B^3\,a^{14}\,b^3\,d^2+2946\,B^3\,a^{12}\,b^5\,d^2-5498\,B^3\,a^{10}\,b^7\,d^2-8322\,B^3\,a^8\,b^9\,d^2+7386\,B^3\,a^6\,b^{11}\,d^2+5238\,B^3\,a^4\,b^{13}\,d^2-2398\,B^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,B\,a^{19}\,b^4\,d^4-4800\,B\,a^{17}\,b^6\,d^4-13056\,B\,a^{15}\,b^8\,d^4-16128\,B\,a^{13}\,b^{10}\,d^4-2688\,B\,a^{11}\,b^{12}\,d^4+18816\,B\,a^9\,b^{14}\,d^4+26880\,B\,a^7\,b^{16}\,d^4+17664\,B\,a^5\,b^{18}\,d^4+5952\,B\,a^3\,b^{20}\,d^4+832\,B\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{19}\,b\,d^2+384\,B^2\,a^{17}\,b^3\,d^2+3552\,B^2\,a^{15}\,b^5\,d^2+4032\,B^2\,a^{13}\,b^7\,d^2-5328\,B^2\,a^{11}\,b^9\,d^2-5056\,B^2\,a^9\,b^{11}\,d^2+10208\,B^2\,a^7\,b^{13}\,d^2+11328\,B^2\,a^5\,b^{15}\,d^2+776\,B^2\,a^3\,b^{17}\,d^2-1472\,B^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+30\,B^4\,a^{12}\,b^2+79\,B^4\,a^{10}\,b^4-2300\,B^4\,a^8\,b^6+3631\,B^4\,a^6\,b^8-2082\,B^4\,a^4\,b^{10}+97\,B^4\,a^2\,b^{12}-32\,B^4\,b^{14}\right)}{64\,\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)}+\frac{\left(\frac{10\,B^3\,a^{16}\,b\,d^2+382\,B^3\,a^{14}\,b^3\,d^2+2946\,B^3\,a^{12}\,b^5\,d^2-5498\,B^3\,a^{10}\,b^7\,d^2-8322\,B^3\,a^8\,b^9\,d^2+7386\,B^3\,a^6\,b^{11}\,d^2+5238\,B^3\,a^4\,b^{13}\,d^2-2398\,B^3\,a^2\,b^{15}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-704\,B\,a^{19}\,b^4\,d^4-4800\,B\,a^{17}\,b^6\,d^4-13056\,B\,a^{15}\,b^8\,d^4-16128\,B\,a^{13}\,b^{10}\,d^4-2688\,B\,a^{11}\,b^{12}\,d^4+18816\,B\,a^9\,b^{14}\,d^4+26880\,B\,a^7\,b^{16}\,d^4+17664\,B\,a^5\,b^{18}\,d^4+5952\,B\,a^3\,b^{20}\,d^4+832\,B\,a\,b^{22}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,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)}{4096\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{19}\,b\,d^2+384\,B^2\,a^{17}\,b^3\,d^2+3552\,B^2\,a^{15}\,b^5\,d^2+4032\,B^2\,a^{13}\,b^7\,d^2-5328\,B^2\,a^{11}\,b^9\,d^2-5056\,B^2\,a^9\,b^{11}\,d^2+10208\,B^2\,a^7\,b^{13}\,d^2+11328\,B^2\,a^5\,b^{15}\,d^2+776\,B^2\,a^3\,b^{17}\,d^2-1472\,B^2\,a\,b^{19}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{64\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}}{a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2}}\right)\,\sqrt{-64\,\left(B^2\,a^9+36\,B^2\,a^7\,b^2+294\,B^2\,a^5\,b^4-540\,B^2\,a^3\,b^6+225\,B^2\,a\,b^8\right)\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{12}\,b^3\,d^2+6\,a^{10}\,b^5\,d^2+15\,a^8\,b^7\,d^2+20\,a^6\,b^9\,d^2+15\,a^4\,b^{11}\,d^2+6\,a^2\,b^{13}\,d^2+b^{15}\,d^2\right)}","Not used",1,"(log((((((((((64*B*a*b^3*(11*a^2 - 13*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*B*a*b^3*(11*a^2 - 13*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*B*a*b^3*(11*a^2 - 13*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*B*a*b^3*(11*a^2 - 13*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*a*(a^10 - 120*b^10 + 249*a^2*b^8 - 388*a^4*b^6 + 302*a^6*b^4 + 36*a^8*b^2))/(2*b*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + ((tan(c + d*x)^(3/2)*(B*a^3 + 9*B*a*b^2))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (B*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((((((((((64*A*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*A*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*A*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*A*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*A^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - ((tan(c + d*x)^(3/2)*(5*A*b^3 - 3*A*a^2*b))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (a*tan(c + d*x)^(1/2)*(5*A*a^2 - 3*A*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(-((((tan(c + d*x)^(1/2)*(41*A^4*b^13 + 9*A^4*a^12*b - 82*A^4*a^2*b^11 + 1831*A^4*a^4*b^9 - 4348*A^4*a^6*b^7 + 1671*A^4*a^8*b^5 - 210*A^4*a^10*b^3))/(64*(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)) - (((3022*A^3*a^5*b^11*d^2 - 4494*A^3*a^3*b^13*d^2 + 17194*A^3*a^7*b^9*d^2 + 5298*A^3*a^9*b^7*d^2 - 3338*A^3*a^11*b^5*d^2 + 506*A^3*a^13*b^3*d^2 + 518*A^3*a*b^15*d^2 - 18*A^3*a^15*b*d^2)/(64*(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)*(64*A^2*a^3*b^16*d^2 - 7456*A^2*a^5*b^14*d^2 - 576*A^2*a^7*b^12*d^2 + 19504*A^2*a^9*b^10*d^2 + 18880*A^2*a^11*b^8*d^2 + 3808*A^2*a^13*b^6*d^2 - 960*A^2*a^15*b^4*d^2 + 8*A^2*a^17*b^2*d^2 + 1544*A^2*a*b^18*d^2))/(64*(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)) + (((4224*A*a^4*b^18*d^4 - 320*A*a^2*b^20*d^4 - 192*A*b^22*d^4 + 22272*A*a^6*b^16*d^4 + 51072*A*a^8*b^14*d^4 + 67200*A*a^10*b^12*d^4 + 53760*A*a^12*b^10*d^4 + 25344*A*a^14*b^8*d^4 + 5952*A*a^16*b^6*d^4 + 192*A*a^18*b^4*d^4 - 128*A*a^20*b^2*d^4)/(64*(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)*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2)*1i)/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2) + (((tan(c + d*x)^(1/2)*(41*A^4*b^13 + 9*A^4*a^12*b - 82*A^4*a^2*b^11 + 1831*A^4*a^4*b^9 - 4348*A^4*a^6*b^7 + 1671*A^4*a^8*b^5 - 210*A^4*a^10*b^3))/(64*(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)) + (((3022*A^3*a^5*b^11*d^2 - 4494*A^3*a^3*b^13*d^2 + 17194*A^3*a^7*b^9*d^2 + 5298*A^3*a^9*b^7*d^2 - 3338*A^3*a^11*b^5*d^2 + 506*A^3*a^13*b^3*d^2 + 518*A^3*a*b^15*d^2 - 18*A^3*a^15*b*d^2)/(64*(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)*(64*A^2*a^3*b^16*d^2 - 7456*A^2*a^5*b^14*d^2 - 576*A^2*a^7*b^12*d^2 + 19504*A^2*a^9*b^10*d^2 + 18880*A^2*a^11*b^8*d^2 + 3808*A^2*a^13*b^6*d^2 - 960*A^2*a^15*b^4*d^2 + 8*A^2*a^17*b^2*d^2 + 1544*A^2*a*b^18*d^2))/(64*(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)) - (((4224*A*a^4*b^18*d^4 - 320*A*a^2*b^20*d^4 - 192*A*b^22*d^4 + 22272*A*a^6*b^16*d^4 + 51072*A*a^8*b^14*d^4 + 67200*A*a^10*b^12*d^4 + 53760*A*a^12*b^10*d^4 + 25344*A*a^14*b^8*d^4 + 5952*A*a^16*b^6*d^4 + 192*A*a^18*b^4*d^4 - 128*A*a^20*b^2*d^4)/(64*(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)*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2)*1i)/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))/((28*A^5*a^2*b^8 - 15*A^5*b^10 + 878*A^5*a^4*b^6 - 180*A^5*a^6*b^4 + 9*A^5*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) - (((tan(c + d*x)^(1/2)*(41*A^4*b^13 + 9*A^4*a^12*b - 82*A^4*a^2*b^11 + 1831*A^4*a^4*b^9 - 4348*A^4*a^6*b^7 + 1671*A^4*a^8*b^5 - 210*A^4*a^10*b^3))/(64*(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)) - (((3022*A^3*a^5*b^11*d^2 - 4494*A^3*a^3*b^13*d^2 + 17194*A^3*a^7*b^9*d^2 + 5298*A^3*a^9*b^7*d^2 - 3338*A^3*a^11*b^5*d^2 + 506*A^3*a^13*b^3*d^2 + 518*A^3*a*b^15*d^2 - 18*A^3*a^15*b*d^2)/(64*(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)*(64*A^2*a^3*b^16*d^2 - 7456*A^2*a^5*b^14*d^2 - 576*A^2*a^7*b^12*d^2 + 19504*A^2*a^9*b^10*d^2 + 18880*A^2*a^11*b^8*d^2 + 3808*A^2*a^13*b^6*d^2 - 960*A^2*a^15*b^4*d^2 + 8*A^2*a^17*b^2*d^2 + 1544*A^2*a*b^18*d^2))/(64*(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)) + (((4224*A*a^4*b^18*d^4 - 320*A*a^2*b^20*d^4 - 192*A*b^22*d^4 + 22272*A*a^6*b^16*d^4 + 51072*A*a^8*b^14*d^4 + 67200*A*a^10*b^12*d^4 + 53760*A*a^12*b^10*d^4 + 25344*A*a^14*b^8*d^4 + 5952*A*a^16*b^6*d^4 + 192*A*a^18*b^4*d^4 - 128*A*a^20*b^2*d^4)/(64*(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)*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2) + (((tan(c + d*x)^(1/2)*(41*A^4*b^13 + 9*A^4*a^12*b - 82*A^4*a^2*b^11 + 1831*A^4*a^4*b^9 - 4348*A^4*a^6*b^7 + 1671*A^4*a^8*b^5 - 210*A^4*a^10*b^3))/(64*(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)) + (((3022*A^3*a^5*b^11*d^2 - 4494*A^3*a^3*b^13*d^2 + 17194*A^3*a^7*b^9*d^2 + 5298*A^3*a^9*b^7*d^2 - 3338*A^3*a^11*b^5*d^2 + 506*A^3*a^13*b^3*d^2 + 518*A^3*a*b^15*d^2 - 18*A^3*a^15*b*d^2)/(64*(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)*(64*A^2*a^3*b^16*d^2 - 7456*A^2*a^5*b^14*d^2 - 576*A^2*a^7*b^12*d^2 + 19504*A^2*a^9*b^10*d^2 + 18880*A^2*a^11*b^8*d^2 + 3808*A^2*a^13*b^6*d^2 - 960*A^2*a^15*b^4*d^2 + 8*A^2*a^17*b^2*d^2 + 1544*A^2*a*b^18*d^2))/(64*(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)) - (((4224*A*a^4*b^18*d^4 - 320*A*a^2*b^20*d^4 - 192*A*b^22*d^4 + 22272*A*a^6*b^16*d^4 + 51072*A*a^8*b^14*d^4 + 67200*A*a^10*b^12*d^4 + 53760*A*a^12*b^10*d^4 + 25344*A*a^14*b^8*d^4 + 5952*A*a^16*b^6*d^4 + 192*A*a^18*b^4*d^4 - 128*A*a^20*b^2*d^4)/(64*(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)*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*A^2*a^8 + 9*A^2*b^8 - 156*A^2*a^2*b^6 + 694*A^2*a^4*b^4 - 156*A^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2)*1i)/(32*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)) + (atan(-((((tan(c + d*x)^(1/2)*(B^4*a^14 - 32*B^4*b^14 + 97*B^4*a^2*b^12 - 2082*B^4*a^4*b^10 + 3631*B^4*a^6*b^8 - 2300*B^4*a^8*b^6 + 79*B^4*a^10*b^4 + 30*B^4*a^12*b^2))/(64*(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)) - (((5238*B^3*a^4*b^13*d^2 - 2398*B^3*a^2*b^15*d^2 + 7386*B^3*a^6*b^11*d^2 - 8322*B^3*a^8*b^9*d^2 - 5498*B^3*a^10*b^7*d^2 + 2946*B^3*a^12*b^5*d^2 + 382*B^3*a^14*b^3*d^2 + 10*B^3*a^16*b*d^2)/(64*(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)) - (((((832*B*a*b^22*d^4 + 5952*B*a^3*b^20*d^4 + 17664*B*a^5*b^18*d^4 + 26880*B*a^7*b^16*d^4 + 18816*B*a^9*b^14*d^4 - 2688*B*a^11*b^12*d^4 - 16128*B*a^13*b^10*d^4 - 13056*B*a^15*b^8*d^4 - 4800*B*a^17*b^6*d^4 - 704*B*a^19*b^4*d^4)/(64*(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)*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) + (tan(c + d*x)^(1/2)*(776*B^2*a^3*b^17*d^2 + 11328*B^2*a^5*b^15*d^2 + 10208*B^2*a^7*b^13*d^2 - 5056*B^2*a^9*b^11*d^2 - 5328*B^2*a^11*b^9*d^2 + 4032*B^2*a^13*b^7*d^2 + 3552*B^2*a^15*b^5*d^2 + 384*B^2*a^17*b^3*d^2 - 1472*B^2*a*b^19*d^2 + 8*B^2*a^19*b*d^2))/(64*(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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2)*1i)/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2) + (((tan(c + d*x)^(1/2)*(B^4*a^14 - 32*B^4*b^14 + 97*B^4*a^2*b^12 - 2082*B^4*a^4*b^10 + 3631*B^4*a^6*b^8 - 2300*B^4*a^8*b^6 + 79*B^4*a^10*b^4 + 30*B^4*a^12*b^2))/(64*(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)) + (((5238*B^3*a^4*b^13*d^2 - 2398*B^3*a^2*b^15*d^2 + 7386*B^3*a^6*b^11*d^2 - 8322*B^3*a^8*b^9*d^2 - 5498*B^3*a^10*b^7*d^2 + 2946*B^3*a^12*b^5*d^2 + 382*B^3*a^14*b^3*d^2 + 10*B^3*a^16*b*d^2)/(64*(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)) - (((((832*B*a*b^22*d^4 + 5952*B*a^3*b^20*d^4 + 17664*B*a^5*b^18*d^4 + 26880*B*a^7*b^16*d^4 + 18816*B*a^9*b^14*d^4 - 2688*B*a^11*b^12*d^4 - 16128*B*a^13*b^10*d^4 - 13056*B*a^15*b^8*d^4 - 4800*B*a^17*b^6*d^4 - 704*B*a^19*b^4*d^4)/(64*(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)*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) - (tan(c + d*x)^(1/2)*(776*B^2*a^3*b^17*d^2 + 11328*B^2*a^5*b^15*d^2 + 10208*B^2*a^7*b^13*d^2 - 5056*B^2*a^9*b^11*d^2 - 5328*B^2*a^11*b^9*d^2 + 4032*B^2*a^13*b^7*d^2 + 3552*B^2*a^15*b^5*d^2 + 384*B^2*a^17*b^3*d^2 - 1472*B^2*a*b^19*d^2 + 8*B^2*a^19*b*d^2))/(64*(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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2)*1i)/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))/((B^5*a^11 - 120*B^5*a*b^10 + 249*B^5*a^3*b^8 - 388*B^5*a^5*b^6 + 302*B^5*a^7*b^4 + 36*B^5*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) - (((tan(c + d*x)^(1/2)*(B^4*a^14 - 32*B^4*b^14 + 97*B^4*a^2*b^12 - 2082*B^4*a^4*b^10 + 3631*B^4*a^6*b^8 - 2300*B^4*a^8*b^6 + 79*B^4*a^10*b^4 + 30*B^4*a^12*b^2))/(64*(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)) - (((5238*B^3*a^4*b^13*d^2 - 2398*B^3*a^2*b^15*d^2 + 7386*B^3*a^6*b^11*d^2 - 8322*B^3*a^8*b^9*d^2 - 5498*B^3*a^10*b^7*d^2 + 2946*B^3*a^12*b^5*d^2 + 382*B^3*a^14*b^3*d^2 + 10*B^3*a^16*b*d^2)/(64*(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)) - (((((832*B*a*b^22*d^4 + 5952*B*a^3*b^20*d^4 + 17664*B*a^5*b^18*d^4 + 26880*B*a^7*b^16*d^4 + 18816*B*a^9*b^14*d^4 - 2688*B*a^11*b^12*d^4 - 16128*B*a^13*b^10*d^4 - 13056*B*a^15*b^8*d^4 - 4800*B*a^17*b^6*d^4 - 704*B*a^19*b^4*d^4)/(64*(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)*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) + (tan(c + d*x)^(1/2)*(776*B^2*a^3*b^17*d^2 + 11328*B^2*a^5*b^15*d^2 + 10208*B^2*a^7*b^13*d^2 - 5056*B^2*a^9*b^11*d^2 - 5328*B^2*a^11*b^9*d^2 + 4032*B^2*a^13*b^7*d^2 + 3552*B^2*a^15*b^5*d^2 + 384*B^2*a^17*b^3*d^2 - 1472*B^2*a*b^19*d^2 + 8*B^2*a^19*b*d^2))/(64*(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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2) + (((tan(c + d*x)^(1/2)*(B^4*a^14 - 32*B^4*b^14 + 97*B^4*a^2*b^12 - 2082*B^4*a^4*b^10 + 3631*B^4*a^6*b^8 - 2300*B^4*a^8*b^6 + 79*B^4*a^10*b^4 + 30*B^4*a^12*b^2))/(64*(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)) + (((5238*B^3*a^4*b^13*d^2 - 2398*B^3*a^2*b^15*d^2 + 7386*B^3*a^6*b^11*d^2 - 8322*B^3*a^8*b^9*d^2 - 5498*B^3*a^10*b^7*d^2 + 2946*B^3*a^12*b^5*d^2 + 382*B^3*a^14*b^3*d^2 + 10*B^3*a^16*b*d^2)/(64*(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)) - (((((832*B*a*b^22*d^4 + 5952*B*a^3*b^20*d^4 + 17664*B*a^5*b^18*d^4 + 26880*B*a^7*b^16*d^4 + 18816*B*a^9*b^14*d^4 - 2688*B*a^11*b^12*d^4 - 16128*B*a^13*b^10*d^4 - 13056*B*a^15*b^8*d^4 - 4800*B*a^17*b^6*d^4 - 704*B*a^19*b^4*d^4)/(64*(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)*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*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))/(4096*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)) - (tan(c + d*x)^(1/2)*(776*B^2*a^3*b^17*d^2 + 11328*B^2*a^5*b^15*d^2 + 10208*B^2*a^7*b^13*d^2 - 5056*B^2*a^9*b^11*d^2 - 5328*B^2*a^11*b^9*d^2 + 4032*B^2*a^13*b^7*d^2 + 3552*B^2*a^15*b^5*d^2 + 384*B^2*a^17*b^3*d^2 - 1472*B^2*a*b^19*d^2 + 8*B^2*a^19*b*d^2))/(64*(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)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(64*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2))/(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2)))*(-64*(B^2*a^9 + 225*B^2*a*b^8 - 540*B^2*a^3*b^6 + 294*B^2*a^5*b^4 + 36*B^2*a^7*b^2)*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))^(1/2)*1i)/(32*(b^15*d^2 + 6*a^2*b^13*d^2 + 15*a^4*b^11*d^2 + 20*a^6*b^9*d^2 + 15*a^8*b^7*d^2 + 6*a^10*b^5*d^2 + a^12*b^3*d^2))","B"
413,1,26133,531,52.404214,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,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{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\frac{\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,A\,a^2\,b+A\,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(A\,b^4-7\,A\,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}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(5\,B\,b^3-3\,B\,a^2\,b\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\,B\,a^2-3\,B\,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}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,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{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,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{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,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{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(2\,a^4-19\,a^2\,b^2+3\,b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^8-124\,a^6\,b^2+966\,a^4\,b^4-764\,a^2\,b^6+193\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{2\,B^3\,a\,b\,\left(9\,a^{10}-271\,a^8\,b^2+2202\,a^6\,b^4-6782\,a^4\,b^6+2765\,a^2\,b^8-259\,b^{10}\right)}{d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^{12}-210\,a^{10}\,b^2+1671\,a^8\,b^4-4348\,a^6\,b^6+1831\,a^4\,b^8-82\,a^2\,b^{10}+41\,b^{12}\right)}{d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^5\,b^2\,\left(9\,a^8-180\,a^6\,b^2+878\,a^4\,b^4+28\,a^2\,b^6-15\,b^8\right)}{2\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,A^4\,a^{12}\,b^3+1922\,A^4\,a^{10}\,b^5-3631\,A^4\,a^8\,b^7+2460\,A^4\,a^6\,b^9+49\,A^4\,a^4\,b^{11}+2\,A^4\,a^2\,b^{13}-A^4\,b^{15}\right)}{64\,\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)}+\frac{\left(\frac{32\,A^3\,a^{16}\,b^2\,d^2+2442\,A^3\,a^{14}\,b^4\,d^2-4290\,A^3\,a^{12}\,b^6\,d^2-5246\,A^3\,a^{10}\,b^8\,d^2+9222\,A^3\,a^8\,b^{10}\,d^2+4862\,A^3\,a^6\,b^{12}\,d^2-3046\,A^3\,a^4\,b^{14}\,d^2-138\,A^3\,a^2\,b^{16}\,d^2+2\,A^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,A\,a^{21}\,b^3\,d^4-4160\,A\,a^{19}\,b^5\,d^4-10176\,A\,a^{17}\,b^7\,d^4-8448\,A\,a^{15}\,b^9\,d^4+10752\,A\,a^{13}\,b^{11}\,d^4+34944\,A\,a^{11}\,b^{13}\,d^4+40320\,A\,a^9\,b^{15}\,d^4+25344\,A\,a^7\,b^{17}\,d^4+8832\,A\,a^5\,b^{19}\,d^4+1472\,A\,a^3\,b^{21}\,d^4+64\,A\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{19}\,b^2\,d^2+1800\,A^2\,a^{17}\,b^4\,d^2+64\,A^2\,a^{15}\,b^6\,d^2-9248\,A^2\,a^{13}\,b^8\,d^2-5056\,A^2\,a^{11}\,b^{10}\,d^2+14128\,A^2\,a^9\,b^{12}\,d^2+15296\,A^2\,a^7\,b^{14}\,d^2+2528\,A^2\,a^5\,b^{16}\,d^2-1152\,A^2\,a^3\,b^{18}\,d^2+8\,A^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,A^4\,a^{12}\,b^3+1922\,A^4\,a^{10}\,b^5-3631\,A^4\,a^8\,b^7+2460\,A^4\,a^6\,b^9+49\,A^4\,a^4\,b^{11}+2\,A^4\,a^2\,b^{13}-A^4\,b^{15}\right)}{64\,\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)}-\frac{\left(\frac{32\,A^3\,a^{16}\,b^2\,d^2+2442\,A^3\,a^{14}\,b^4\,d^2-4290\,A^3\,a^{12}\,b^6\,d^2-5246\,A^3\,a^{10}\,b^8\,d^2+9222\,A^3\,a^8\,b^{10}\,d^2+4862\,A^3\,a^6\,b^{12}\,d^2-3046\,A^3\,a^4\,b^{14}\,d^2-138\,A^3\,a^2\,b^{16}\,d^2+2\,A^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,A\,a^{21}\,b^3\,d^4-4160\,A\,a^{19}\,b^5\,d^4-10176\,A\,a^{17}\,b^7\,d^4-8448\,A\,a^{15}\,b^9\,d^4+10752\,A\,a^{13}\,b^{11}\,d^4+34944\,A\,a^{11}\,b^{13}\,d^4+40320\,A\,a^9\,b^{15}\,d^4+25344\,A\,a^7\,b^{17}\,d^4+8832\,A\,a^5\,b^{19}\,d^4+1472\,A\,a^3\,b^{21}\,d^4+64\,A\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{19}\,b^2\,d^2+1800\,A^2\,a^{17}\,b^4\,d^2+64\,A^2\,a^{15}\,b^6\,d^2-9248\,A^2\,a^{13}\,b^8\,d^2-5056\,A^2\,a^{11}\,b^{10}\,d^2+14128\,A^2\,a^9\,b^{12}\,d^2+15296\,A^2\,a^7\,b^{14}\,d^2+2528\,A^2\,a^5\,b^{16}\,d^2-1152\,A^2\,a^3\,b^{18}\,d^2+8\,A^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}}{\frac{-225\,A^5\,a^9\,b^3+420\,A^5\,a^7\,b^5-270\,A^5\,a^5\,b^7+116\,A^5\,a^3\,b^9+7\,A^5\,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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,A^4\,a^{12}\,b^3+1922\,A^4\,a^{10}\,b^5-3631\,A^4\,a^8\,b^7+2460\,A^4\,a^6\,b^9+49\,A^4\,a^4\,b^{11}+2\,A^4\,a^2\,b^{13}-A^4\,b^{15}\right)}{64\,\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)}+\frac{\left(\frac{32\,A^3\,a^{16}\,b^2\,d^2+2442\,A^3\,a^{14}\,b^4\,d^2-4290\,A^3\,a^{12}\,b^6\,d^2-5246\,A^3\,a^{10}\,b^8\,d^2+9222\,A^3\,a^8\,b^{10}\,d^2+4862\,A^3\,a^6\,b^{12}\,d^2-3046\,A^3\,a^4\,b^{14}\,d^2-138\,A^3\,a^2\,b^{16}\,d^2+2\,A^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,A\,a^{21}\,b^3\,d^4-4160\,A\,a^{19}\,b^5\,d^4-10176\,A\,a^{17}\,b^7\,d^4-8448\,A\,a^{15}\,b^9\,d^4+10752\,A\,a^{13}\,b^{11}\,d^4+34944\,A\,a^{11}\,b^{13}\,d^4+40320\,A\,a^9\,b^{15}\,d^4+25344\,A\,a^7\,b^{17}\,d^4+8832\,A\,a^5\,b^{19}\,d^4+1472\,A\,a^3\,b^{21}\,d^4+64\,A\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{19}\,b^2\,d^2+1800\,A^2\,a^{17}\,b^4\,d^2+64\,A^2\,a^{15}\,b^6\,d^2-9248\,A^2\,a^{13}\,b^8\,d^2-5056\,A^2\,a^{11}\,b^{10}\,d^2+14128\,A^2\,a^9\,b^{12}\,d^2+15296\,A^2\,a^7\,b^{14}\,d^2+2528\,A^2\,a^5\,b^{16}\,d^2-1152\,A^2\,a^3\,b^{18}\,d^2+8\,A^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,A^4\,a^{12}\,b^3+1922\,A^4\,a^{10}\,b^5-3631\,A^4\,a^8\,b^7+2460\,A^4\,a^6\,b^9+49\,A^4\,a^4\,b^{11}+2\,A^4\,a^2\,b^{13}-A^4\,b^{15}\right)}{64\,\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)}-\frac{\left(\frac{32\,A^3\,a^{16}\,b^2\,d^2+2442\,A^3\,a^{14}\,b^4\,d^2-4290\,A^3\,a^{12}\,b^6\,d^2-5246\,A^3\,a^{10}\,b^8\,d^2+9222\,A^3\,a^8\,b^{10}\,d^2+4862\,A^3\,a^6\,b^{12}\,d^2-3046\,A^3\,a^4\,b^{14}\,d^2-138\,A^3\,a^2\,b^{16}\,d^2+2\,A^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,A\,a^{21}\,b^3\,d^4-4160\,A\,a^{19}\,b^5\,d^4-10176\,A\,a^{17}\,b^7\,d^4-8448\,A\,a^{15}\,b^9\,d^4+10752\,A\,a^{13}\,b^{11}\,d^4+34944\,A\,a^{11}\,b^{13}\,d^4+40320\,A\,a^9\,b^{15}\,d^4+25344\,A\,a^7\,b^{17}\,d^4+8832\,A\,a^5\,b^{19}\,d^4+1472\,A\,a^3\,b^{21}\,d^4+64\,A\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,A^2\,a^{19}\,b^2\,d^2+1800\,A^2\,a^{17}\,b^4\,d^2+64\,A^2\,a^{15}\,b^6\,d^2-9248\,A^2\,a^{13}\,b^8\,d^2-5056\,A^2\,a^{11}\,b^{10}\,d^2+14128\,A^2\,a^9\,b^{12}\,d^2+15296\,A^2\,a^7\,b^{14}\,d^2+2528\,A^2\,a^5\,b^{16}\,d^2-1152\,A^2\,a^3\,b^{18}\,d^2+8\,A^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}}\right)\,\sqrt{-64\,\left(225\,A^2\,a^8\,b-540\,A^2\,a^6\,b^3+294\,A^2\,a^4\,b^5+36\,A^2\,a^2\,b^7+A^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}+\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}\,b-210\,B^4\,a^{10}\,b^3+1671\,B^4\,a^8\,b^5-4348\,B^4\,a^6\,b^7+1831\,B^4\,a^4\,b^9-82\,B^4\,a^2\,b^{11}+41\,B^4\,b^{13}\right)}{64\,\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)}-\frac{\left(\frac{-18\,B^3\,a^{15}\,b\,d^2+506\,B^3\,a^{13}\,b^3\,d^2-3338\,B^3\,a^{11}\,b^5\,d^2+5298\,B^3\,a^9\,b^7\,d^2+17194\,B^3\,a^7\,b^9\,d^2+3022\,B^3\,a^5\,b^{11}\,d^2-4494\,B^3\,a^3\,b^{13}\,d^2+518\,B^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{17}\,b^2\,d^2-960\,B^2\,a^{15}\,b^4\,d^2+3808\,B^2\,a^{13}\,b^6\,d^2+18880\,B^2\,a^{11}\,b^8\,d^2+19504\,B^2\,a^9\,b^{10}\,d^2-576\,B^2\,a^7\,b^{12}\,d^2-7456\,B^2\,a^5\,b^{14}\,d^2+64\,B^2\,a^3\,b^{16}\,d^2+1544\,B^2\,a\,b^{18}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{-128\,B\,a^{20}\,b^2\,d^4+192\,B\,a^{18}\,b^4\,d^4+5952\,B\,a^{16}\,b^6\,d^4+25344\,B\,a^{14}\,b^8\,d^4+53760\,B\,a^{12}\,b^{10}\,d^4+67200\,B\,a^{10}\,b^{12}\,d^4+51072\,B\,a^8\,b^{14}\,d^4+22272\,B\,a^6\,b^{16}\,d^4+4224\,B\,a^4\,b^{18}\,d^4-320\,B\,a^2\,b^{20}\,d^4-192\,B\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}\,b-210\,B^4\,a^{10}\,b^3+1671\,B^4\,a^8\,b^5-4348\,B^4\,a^6\,b^7+1831\,B^4\,a^4\,b^9-82\,B^4\,a^2\,b^{11}+41\,B^4\,b^{13}\right)}{64\,\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)}+\frac{\left(\frac{-18\,B^3\,a^{15}\,b\,d^2+506\,B^3\,a^{13}\,b^3\,d^2-3338\,B^3\,a^{11}\,b^5\,d^2+5298\,B^3\,a^9\,b^7\,d^2+17194\,B^3\,a^7\,b^9\,d^2+3022\,B^3\,a^5\,b^{11}\,d^2-4494\,B^3\,a^3\,b^{13}\,d^2+518\,B^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{17}\,b^2\,d^2-960\,B^2\,a^{15}\,b^4\,d^2+3808\,B^2\,a^{13}\,b^6\,d^2+18880\,B^2\,a^{11}\,b^8\,d^2+19504\,B^2\,a^9\,b^{10}\,d^2-576\,B^2\,a^7\,b^{12}\,d^2-7456\,B^2\,a^5\,b^{14}\,d^2+64\,B^2\,a^3\,b^{16}\,d^2+1544\,B^2\,a\,b^{18}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{-128\,B\,a^{20}\,b^2\,d^4+192\,B\,a^{18}\,b^4\,d^4+5952\,B\,a^{16}\,b^6\,d^4+25344\,B\,a^{14}\,b^8\,d^4+53760\,B\,a^{12}\,b^{10}\,d^4+67200\,B\,a^{10}\,b^{12}\,d^4+51072\,B\,a^8\,b^{14}\,d^4+22272\,B\,a^6\,b^{16}\,d^4+4224\,B\,a^4\,b^{18}\,d^4-320\,B\,a^2\,b^{20}\,d^4-192\,B\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\,1{}\mathrm{i}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}}{\frac{9\,B^5\,a^8\,b^2-180\,B^5\,a^6\,b^4+878\,B^5\,a^4\,b^6+28\,B^5\,a^2\,b^8-15\,B^5\,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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}\,b-210\,B^4\,a^{10}\,b^3+1671\,B^4\,a^8\,b^5-4348\,B^4\,a^6\,b^7+1831\,B^4\,a^4\,b^9-82\,B^4\,a^2\,b^{11}+41\,B^4\,b^{13}\right)}{64\,\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)}-\frac{\left(\frac{-18\,B^3\,a^{15}\,b\,d^2+506\,B^3\,a^{13}\,b^3\,d^2-3338\,B^3\,a^{11}\,b^5\,d^2+5298\,B^3\,a^9\,b^7\,d^2+17194\,B^3\,a^7\,b^9\,d^2+3022\,B^3\,a^5\,b^{11}\,d^2-4494\,B^3\,a^3\,b^{13}\,d^2+518\,B^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{17}\,b^2\,d^2-960\,B^2\,a^{15}\,b^4\,d^2+3808\,B^2\,a^{13}\,b^6\,d^2+18880\,B^2\,a^{11}\,b^8\,d^2+19504\,B^2\,a^9\,b^{10}\,d^2-576\,B^2\,a^7\,b^{12}\,d^2-7456\,B^2\,a^5\,b^{14}\,d^2+64\,B^2\,a^3\,b^{16}\,d^2+1544\,B^2\,a\,b^{18}\,d^2\right)}{64\,\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)}+\frac{\left(\frac{-128\,B\,a^{20}\,b^2\,d^4+192\,B\,a^{18}\,b^4\,d^4+5952\,B\,a^{16}\,b^6\,d^4+25344\,B\,a^{14}\,b^8\,d^4+53760\,B\,a^{12}\,b^{10}\,d^4+67200\,B\,a^{10}\,b^{12}\,d^4+51072\,B\,a^8\,b^{14}\,d^4+22272\,B\,a^6\,b^{16}\,d^4+4224\,B\,a^4\,b^{18}\,d^4-320\,B\,a^2\,b^{20}\,d^4-192\,B\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}\,b-210\,B^4\,a^{10}\,b^3+1671\,B^4\,a^8\,b^5-4348\,B^4\,a^6\,b^7+1831\,B^4\,a^4\,b^9-82\,B^4\,a^2\,b^{11}+41\,B^4\,b^{13}\right)}{64\,\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)}+\frac{\left(\frac{-18\,B^3\,a^{15}\,b\,d^2+506\,B^3\,a^{13}\,b^3\,d^2-3338\,B^3\,a^{11}\,b^5\,d^2+5298\,B^3\,a^9\,b^7\,d^2+17194\,B^3\,a^7\,b^9\,d^2+3022\,B^3\,a^5\,b^{11}\,d^2-4494\,B^3\,a^3\,b^{13}\,d^2+518\,B^3\,a\,b^{15}\,d^2}{64\,\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{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{17}\,b^2\,d^2-960\,B^2\,a^{15}\,b^4\,d^2+3808\,B^2\,a^{13}\,b^6\,d^2+18880\,B^2\,a^{11}\,b^8\,d^2+19504\,B^2\,a^9\,b^{10}\,d^2-576\,B^2\,a^7\,b^{12}\,d^2-7456\,B^2\,a^5\,b^{14}\,d^2+64\,B^2\,a^3\,b^{16}\,d^2+1544\,B^2\,a\,b^{18}\,d^2\right)}{64\,\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)}-\frac{\left(\frac{-128\,B\,a^{20}\,b^2\,d^4+192\,B\,a^{18}\,b^4\,d^4+5952\,B\,a^{16}\,b^6\,d^4+25344\,B\,a^{14}\,b^8\,d^4+53760\,B\,a^{12}\,b^{10}\,d^4+67200\,B\,a^{10}\,b^{12}\,d^4+51072\,B\,a^8\,b^{14}\,d^4+22272\,B\,a^6\,b^{16}\,d^4+4224\,B\,a^4\,b^{18}\,d^4-320\,B\,a^2\,b^{20}\,d^4-192\,B\,b^{22}\,d^4}{64\,\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{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,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)}{4096\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\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)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{64\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}}{a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2}}\right)\,\sqrt{-64\,\left(9\,B^2\,a^8-156\,B^2\,a^6\,b^2+694\,B^2\,a^4\,b^4-156\,B^2\,a^2\,b^6+9\,B^2\,b^8\right)\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{13}\,b\,d^2+6\,a^{11}\,b^3\,d^2+15\,a^9\,b^5\,d^2+20\,a^7\,b^7\,d^2+15\,a^5\,b^9\,d^2+6\,a^3\,b^{11}\,d^2+a\,b^{13}\,d^2\right)}","Not used",1,"(log((((((((((64*A*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*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))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - ((tan(c + d*x)^(1/2)*(A*b^3 + 9*A*a^2*b))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (tan(c + d*x)^(3/2)*(A*b^4 - 7*A*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)) - ((tan(c + d*x)^(3/2)*(5*B*b^3 - 3*B*a^2*b))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (a*tan(c + d*x)^(1/2)*(5*B*a^2 - 3*B*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)) + (log((((((((((64*A*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*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))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*A*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*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))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*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))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*A*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*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))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*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))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + (log((((((((((64*B*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*B*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*B*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*B*b^2*(2*a^4 + 3*b^4 - 19*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*a*b^2*tan(c + d*x)^(1/2)*(a^8 + 193*b^8 - 764*a^2*b^6 + 966*a^4*b^4 - 124*a^6*b^2))/(d^2*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (2*B^3*a*b*(9*a^10 - 259*b^10 + 2765*a^2*b^8 - 6782*a^4*b^6 + 2202*a^6*b^4 - 271*a^8*b^2))/(d^3*(a^2 + b^2)^6))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*b*tan(c + d*x)^(1/2)*(9*a^12 + 41*b^12 - 82*a^2*b^10 + 1831*a^4*b^8 - 4348*a^6*b^6 + 1671*a^8*b^4 - 210*a^10*b^2))/(d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^5*b^2*(9*a^8 - 15*b^8 + 28*a^2*b^6 + 878*a^4*b^4 - 180*a^6*b^2))/(2*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + (atan(((((tan(c + d*x)^(1/2)*(2*A^4*a^2*b^13 - A^4*b^15 + 49*A^4*a^4*b^11 + 2460*A^4*a^6*b^9 - 3631*A^4*a^8*b^7 + 1922*A^4*a^10*b^5 - 225*A^4*a^12*b^3))/(64*(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*A^3*b^18*d^2 - 138*A^3*a^2*b^16*d^2 - 3046*A^3*a^4*b^14*d^2 + 4862*A^3*a^6*b^12*d^2 + 9222*A^3*a^8*b^10*d^2 - 5246*A^3*a^10*b^8*d^2 - 4290*A^3*a^12*b^6*d^2 + 2442*A^3*a^14*b^4*d^2 + 32*A^3*a^16*b^2*d^2)/(64*(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)) - (((((64*A*a*b^23*d^4 + 1472*A*a^3*b^21*d^4 + 8832*A*a^5*b^19*d^4 + 25344*A*a^7*b^17*d^4 + 40320*A*a^9*b^15*d^4 + 34944*A*a^11*b^13*d^4 + 10752*A*a^13*b^11*d^4 - 8448*A*a^15*b^9*d^4 - 10176*A*a^17*b^7*d^4 - 4160*A*a^19*b^5*d^4 - 640*A*a^21*b^3*d^4)/(64*(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)*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) + (tan(c + d*x)^(1/2)*(2528*A^2*a^5*b^16*d^2 - 1152*A^2*a^3*b^18*d^2 + 15296*A^2*a^7*b^14*d^2 + 14128*A^2*a^9*b^12*d^2 - 5056*A^2*a^11*b^10*d^2 - 9248*A^2*a^13*b^8*d^2 + 64*A^2*a^15*b^6*d^2 + 1800*A^2*a^17*b^4*d^2 + 64*A^2*a^19*b^2*d^2 + 8*A^2*a*b^20*d^2))/(64*(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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2)*1i)/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2) + (((tan(c + d*x)^(1/2)*(2*A^4*a^2*b^13 - A^4*b^15 + 49*A^4*a^4*b^11 + 2460*A^4*a^6*b^9 - 3631*A^4*a^8*b^7 + 1922*A^4*a^10*b^5 - 225*A^4*a^12*b^3))/(64*(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*A^3*b^18*d^2 - 138*A^3*a^2*b^16*d^2 - 3046*A^3*a^4*b^14*d^2 + 4862*A^3*a^6*b^12*d^2 + 9222*A^3*a^8*b^10*d^2 - 5246*A^3*a^10*b^8*d^2 - 4290*A^3*a^12*b^6*d^2 + 2442*A^3*a^14*b^4*d^2 + 32*A^3*a^16*b^2*d^2)/(64*(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)) - (((((64*A*a*b^23*d^4 + 1472*A*a^3*b^21*d^4 + 8832*A*a^5*b^19*d^4 + 25344*A*a^7*b^17*d^4 + 40320*A*a^9*b^15*d^4 + 34944*A*a^11*b^13*d^4 + 10752*A*a^13*b^11*d^4 - 8448*A*a^15*b^9*d^4 - 10176*A*a^17*b^7*d^4 - 4160*A*a^19*b^5*d^4 - 640*A*a^21*b^3*d^4)/(64*(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)*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) - (tan(c + d*x)^(1/2)*(2528*A^2*a^5*b^16*d^2 - 1152*A^2*a^3*b^18*d^2 + 15296*A^2*a^7*b^14*d^2 + 14128*A^2*a^9*b^12*d^2 - 5056*A^2*a^11*b^10*d^2 - 9248*A^2*a^13*b^8*d^2 + 64*A^2*a^15*b^6*d^2 + 1800*A^2*a^17*b^4*d^2 + 64*A^2*a^19*b^2*d^2 + 8*A^2*a*b^20*d^2))/(64*(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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2)*1i)/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))/((7*A^5*a*b^11 + 116*A^5*a^3*b^9 - 270*A^5*a^5*b^7 + 420*A^5*a^7*b^5 - 225*A^5*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) - (((tan(c + d*x)^(1/2)*(2*A^4*a^2*b^13 - A^4*b^15 + 49*A^4*a^4*b^11 + 2460*A^4*a^6*b^9 - 3631*A^4*a^8*b^7 + 1922*A^4*a^10*b^5 - 225*A^4*a^12*b^3))/(64*(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*A^3*b^18*d^2 - 138*A^3*a^2*b^16*d^2 - 3046*A^3*a^4*b^14*d^2 + 4862*A^3*a^6*b^12*d^2 + 9222*A^3*a^8*b^10*d^2 - 5246*A^3*a^10*b^8*d^2 - 4290*A^3*a^12*b^6*d^2 + 2442*A^3*a^14*b^4*d^2 + 32*A^3*a^16*b^2*d^2)/(64*(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)) - (((((64*A*a*b^23*d^4 + 1472*A*a^3*b^21*d^4 + 8832*A*a^5*b^19*d^4 + 25344*A*a^7*b^17*d^4 + 40320*A*a^9*b^15*d^4 + 34944*A*a^11*b^13*d^4 + 10752*A*a^13*b^11*d^4 - 8448*A*a^15*b^9*d^4 - 10176*A*a^17*b^7*d^4 - 4160*A*a^19*b^5*d^4 - 640*A*a^21*b^3*d^4)/(64*(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)*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) + (tan(c + d*x)^(1/2)*(2528*A^2*a^5*b^16*d^2 - 1152*A^2*a^3*b^18*d^2 + 15296*A^2*a^7*b^14*d^2 + 14128*A^2*a^9*b^12*d^2 - 5056*A^2*a^11*b^10*d^2 - 9248*A^2*a^13*b^8*d^2 + 64*A^2*a^15*b^6*d^2 + 1800*A^2*a^17*b^4*d^2 + 64*A^2*a^19*b^2*d^2 + 8*A^2*a*b^20*d^2))/(64*(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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2) + (((tan(c + d*x)^(1/2)*(2*A^4*a^2*b^13 - A^4*b^15 + 49*A^4*a^4*b^11 + 2460*A^4*a^6*b^9 - 3631*A^4*a^8*b^7 + 1922*A^4*a^10*b^5 - 225*A^4*a^12*b^3))/(64*(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*A^3*b^18*d^2 - 138*A^3*a^2*b^16*d^2 - 3046*A^3*a^4*b^14*d^2 + 4862*A^3*a^6*b^12*d^2 + 9222*A^3*a^8*b^10*d^2 - 5246*A^3*a^10*b^8*d^2 - 4290*A^3*a^12*b^6*d^2 + 2442*A^3*a^14*b^4*d^2 + 32*A^3*a^16*b^2*d^2)/(64*(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)) - (((((64*A*a*b^23*d^4 + 1472*A*a^3*b^21*d^4 + 8832*A*a^5*b^19*d^4 + 25344*A*a^7*b^17*d^4 + 40320*A*a^9*b^15*d^4 + 34944*A*a^11*b^13*d^4 + 10752*A*a^13*b^11*d^4 - 8448*A*a^15*b^9*d^4 - 10176*A*a^17*b^7*d^4 - 4160*A*a^19*b^5*d^4 - 640*A*a^21*b^3*d^4)/(64*(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)*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) - (tan(c + d*x)^(1/2)*(2528*A^2*a^5*b^16*d^2 - 1152*A^2*a^3*b^18*d^2 + 15296*A^2*a^7*b^14*d^2 + 14128*A^2*a^9*b^12*d^2 - 5056*A^2*a^11*b^10*d^2 - 9248*A^2*a^13*b^8*d^2 + 64*A^2*a^15*b^6*d^2 + 1800*A^2*a^17*b^4*d^2 + 64*A^2*a^19*b^2*d^2 + 8*A^2*a*b^20*d^2))/(64*(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)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(A^2*b^9 + 225*A^2*a^8*b + 36*A^2*a^2*b^7 + 294*A^2*a^4*b^5 - 540*A^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2)*1i)/(32*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) + (atan(-((((tan(c + d*x)^(1/2)*(41*B^4*b^13 + 9*B^4*a^12*b - 82*B^4*a^2*b^11 + 1831*B^4*a^4*b^9 - 4348*B^4*a^6*b^7 + 1671*B^4*a^8*b^5 - 210*B^4*a^10*b^3))/(64*(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)) - (((3022*B^3*a^5*b^11*d^2 - 4494*B^3*a^3*b^13*d^2 + 17194*B^3*a^7*b^9*d^2 + 5298*B^3*a^9*b^7*d^2 - 3338*B^3*a^11*b^5*d^2 + 506*B^3*a^13*b^3*d^2 + 518*B^3*a*b^15*d^2 - 18*B^3*a^15*b*d^2)/(64*(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)*(64*B^2*a^3*b^16*d^2 - 7456*B^2*a^5*b^14*d^2 - 576*B^2*a^7*b^12*d^2 + 19504*B^2*a^9*b^10*d^2 + 18880*B^2*a^11*b^8*d^2 + 3808*B^2*a^13*b^6*d^2 - 960*B^2*a^15*b^4*d^2 + 8*B^2*a^17*b^2*d^2 + 1544*B^2*a*b^18*d^2))/(64*(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)) + (((4224*B*a^4*b^18*d^4 - 320*B*a^2*b^20*d^4 - 192*B*b^22*d^4 + 22272*B*a^6*b^16*d^4 + 51072*B*a^8*b^14*d^4 + 67200*B*a^10*b^12*d^4 + 53760*B*a^12*b^10*d^4 + 25344*B*a^14*b^8*d^4 + 5952*B*a^16*b^6*d^4 + 192*B*a^18*b^4*d^4 - 128*B*a^20*b^2*d^4)/(64*(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)*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2)*1i)/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2) + (((tan(c + d*x)^(1/2)*(41*B^4*b^13 + 9*B^4*a^12*b - 82*B^4*a^2*b^11 + 1831*B^4*a^4*b^9 - 4348*B^4*a^6*b^7 + 1671*B^4*a^8*b^5 - 210*B^4*a^10*b^3))/(64*(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)) + (((3022*B^3*a^5*b^11*d^2 - 4494*B^3*a^3*b^13*d^2 + 17194*B^3*a^7*b^9*d^2 + 5298*B^3*a^9*b^7*d^2 - 3338*B^3*a^11*b^5*d^2 + 506*B^3*a^13*b^3*d^2 + 518*B^3*a*b^15*d^2 - 18*B^3*a^15*b*d^2)/(64*(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)*(64*B^2*a^3*b^16*d^2 - 7456*B^2*a^5*b^14*d^2 - 576*B^2*a^7*b^12*d^2 + 19504*B^2*a^9*b^10*d^2 + 18880*B^2*a^11*b^8*d^2 + 3808*B^2*a^13*b^6*d^2 - 960*B^2*a^15*b^4*d^2 + 8*B^2*a^17*b^2*d^2 + 1544*B^2*a*b^18*d^2))/(64*(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)) - (((4224*B*a^4*b^18*d^4 - 320*B*a^2*b^20*d^4 - 192*B*b^22*d^4 + 22272*B*a^6*b^16*d^4 + 51072*B*a^8*b^14*d^4 + 67200*B*a^10*b^12*d^4 + 53760*B*a^12*b^10*d^4 + 25344*B*a^14*b^8*d^4 + 5952*B*a^16*b^6*d^4 + 192*B*a^18*b^4*d^4 - 128*B*a^20*b^2*d^4)/(64*(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)*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2)*1i)/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))/((28*B^5*a^2*b^8 - 15*B^5*b^10 + 878*B^5*a^4*b^6 - 180*B^5*a^6*b^4 + 9*B^5*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) - (((tan(c + d*x)^(1/2)*(41*B^4*b^13 + 9*B^4*a^12*b - 82*B^4*a^2*b^11 + 1831*B^4*a^4*b^9 - 4348*B^4*a^6*b^7 + 1671*B^4*a^8*b^5 - 210*B^4*a^10*b^3))/(64*(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)) - (((3022*B^3*a^5*b^11*d^2 - 4494*B^3*a^3*b^13*d^2 + 17194*B^3*a^7*b^9*d^2 + 5298*B^3*a^9*b^7*d^2 - 3338*B^3*a^11*b^5*d^2 + 506*B^3*a^13*b^3*d^2 + 518*B^3*a*b^15*d^2 - 18*B^3*a^15*b*d^2)/(64*(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)*(64*B^2*a^3*b^16*d^2 - 7456*B^2*a^5*b^14*d^2 - 576*B^2*a^7*b^12*d^2 + 19504*B^2*a^9*b^10*d^2 + 18880*B^2*a^11*b^8*d^2 + 3808*B^2*a^13*b^6*d^2 - 960*B^2*a^15*b^4*d^2 + 8*B^2*a^17*b^2*d^2 + 1544*B^2*a*b^18*d^2))/(64*(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)) + (((4224*B*a^4*b^18*d^4 - 320*B*a^2*b^20*d^4 - 192*B*b^22*d^4 + 22272*B*a^6*b^16*d^4 + 51072*B*a^8*b^14*d^4 + 67200*B*a^10*b^12*d^4 + 53760*B*a^12*b^10*d^4 + 25344*B*a^14*b^8*d^4 + 5952*B*a^16*b^6*d^4 + 192*B*a^18*b^4*d^4 - 128*B*a^20*b^2*d^4)/(64*(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)*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2) + (((tan(c + d*x)^(1/2)*(41*B^4*b^13 + 9*B^4*a^12*b - 82*B^4*a^2*b^11 + 1831*B^4*a^4*b^9 - 4348*B^4*a^6*b^7 + 1671*B^4*a^8*b^5 - 210*B^4*a^10*b^3))/(64*(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)) + (((3022*B^3*a^5*b^11*d^2 - 4494*B^3*a^3*b^13*d^2 + 17194*B^3*a^7*b^9*d^2 + 5298*B^3*a^9*b^7*d^2 - 3338*B^3*a^11*b^5*d^2 + 506*B^3*a^13*b^3*d^2 + 518*B^3*a*b^15*d^2 - 18*B^3*a^15*b*d^2)/(64*(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)*(64*B^2*a^3*b^16*d^2 - 7456*B^2*a^5*b^14*d^2 - 576*B^2*a^7*b^12*d^2 + 19504*B^2*a^9*b^10*d^2 + 18880*B^2*a^11*b^8*d^2 + 3808*B^2*a^13*b^6*d^2 - 960*B^2*a^15*b^4*d^2 + 8*B^2*a^17*b^2*d^2 + 1544*B^2*a*b^18*d^2))/(64*(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)) - (((4224*B*a^4*b^18*d^4 - 320*B*a^2*b^20*d^4 - 192*B*b^22*d^4 + 22272*B*a^6*b^16*d^4 + 51072*B*a^8*b^14*d^4 + 67200*B*a^10*b^12*d^4 + 53760*B*a^12*b^10*d^4 + 25344*B*a^14*b^8*d^4 + 5952*B*a^16*b^6*d^4 + 192*B*a^18*b^4*d^4 - 128*B*a^20*b^2*d^4)/(64*(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)*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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))/(4096*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*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)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(64*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2))/(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2)))*(-64*(9*B^2*a^8 + 9*B^2*b^8 - 156*B^2*a^2*b^6 + 694*B^2*a^4*b^4 - 156*B^2*a^6*b^2)*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))^(1/2)*1i)/(32*(a*b^13*d^2 + a^13*b*d^2 + 6*a^3*b^11*d^2 + 15*a^5*b^9*d^2 + 20*a^7*b^7*d^2 + 15*a^9*b^5*d^2 + 6*a^11*b^3*d^2))","B"
414,1,26707,534,53.702969,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3),x)","\frac{\frac{A\,\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{A\,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}-\frac{\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B\,a^2\,b+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\,b^4-7\,B\,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}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}+128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,A\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}-128\,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{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,A^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,A^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{A^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-A^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{A^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^3\,\left(-10\,a^4+15\,a^2\,b^2+b^4\right)}{a\,d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,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{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{12}\,b^3+1922\,B^4\,a^{10}\,b^5-3631\,B^4\,a^8\,b^7+2460\,B^4\,a^6\,b^9+49\,B^4\,a^4\,b^{11}+2\,B^4\,a^2\,b^{13}-B^4\,b^{15}\right)}{64\,\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)}+\frac{\left(\frac{32\,B^3\,a^{16}\,b^2\,d^2+2442\,B^3\,a^{14}\,b^4\,d^2-4290\,B^3\,a^{12}\,b^6\,d^2-5246\,B^3\,a^{10}\,b^8\,d^2+9222\,B^3\,a^8\,b^{10}\,d^2+4862\,B^3\,a^6\,b^{12}\,d^2-3046\,B^3\,a^4\,b^{14}\,d^2-138\,B^3\,a^2\,b^{16}\,d^2+2\,B^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,B\,a^{21}\,b^3\,d^4-4160\,B\,a^{19}\,b^5\,d^4-10176\,B\,a^{17}\,b^7\,d^4-8448\,B\,a^{15}\,b^9\,d^4+10752\,B\,a^{13}\,b^{11}\,d^4+34944\,B\,a^{11}\,b^{13}\,d^4+40320\,B\,a^9\,b^{15}\,d^4+25344\,B\,a^7\,b^{17}\,d^4+8832\,B\,a^5\,b^{19}\,d^4+1472\,B\,a^3\,b^{21}\,d^4+64\,B\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{19}\,b^2\,d^2+1800\,B^2\,a^{17}\,b^4\,d^2+64\,B^2\,a^{15}\,b^6\,d^2-9248\,B^2\,a^{13}\,b^8\,d^2-5056\,B^2\,a^{11}\,b^{10}\,d^2+14128\,B^2\,a^9\,b^{12}\,d^2+15296\,B^2\,a^7\,b^{14}\,d^2+2528\,B^2\,a^5\,b^{16}\,d^2-1152\,B^2\,a^3\,b^{18}\,d^2+8\,B^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{12}\,b^3+1922\,B^4\,a^{10}\,b^5-3631\,B^4\,a^8\,b^7+2460\,B^4\,a^6\,b^9+49\,B^4\,a^4\,b^{11}+2\,B^4\,a^2\,b^{13}-B^4\,b^{15}\right)}{64\,\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)}-\frac{\left(\frac{32\,B^3\,a^{16}\,b^2\,d^2+2442\,B^3\,a^{14}\,b^4\,d^2-4290\,B^3\,a^{12}\,b^6\,d^2-5246\,B^3\,a^{10}\,b^8\,d^2+9222\,B^3\,a^8\,b^{10}\,d^2+4862\,B^3\,a^6\,b^{12}\,d^2-3046\,B^3\,a^4\,b^{14}\,d^2-138\,B^3\,a^2\,b^{16}\,d^2+2\,B^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,B\,a^{21}\,b^3\,d^4-4160\,B\,a^{19}\,b^5\,d^4-10176\,B\,a^{17}\,b^7\,d^4-8448\,B\,a^{15}\,b^9\,d^4+10752\,B\,a^{13}\,b^{11}\,d^4+34944\,B\,a^{11}\,b^{13}\,d^4+40320\,B\,a^9\,b^{15}\,d^4+25344\,B\,a^7\,b^{17}\,d^4+8832\,B\,a^5\,b^{19}\,d^4+1472\,B\,a^3\,b^{21}\,d^4+64\,B\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{19}\,b^2\,d^2+1800\,B^2\,a^{17}\,b^4\,d^2+64\,B^2\,a^{15}\,b^6\,d^2-9248\,B^2\,a^{13}\,b^8\,d^2-5056\,B^2\,a^{11}\,b^{10}\,d^2+14128\,B^2\,a^9\,b^{12}\,d^2+15296\,B^2\,a^7\,b^{14}\,d^2+2528\,B^2\,a^5\,b^{16}\,d^2-1152\,B^2\,a^3\,b^{18}\,d^2+8\,B^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}}{\frac{-225\,B^5\,a^9\,b^3+420\,B^5\,a^7\,b^5-270\,B^5\,a^5\,b^7+116\,B^5\,a^3\,b^9+7\,B^5\,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{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{12}\,b^3+1922\,B^4\,a^{10}\,b^5-3631\,B^4\,a^8\,b^7+2460\,B^4\,a^6\,b^9+49\,B^4\,a^4\,b^{11}+2\,B^4\,a^2\,b^{13}-B^4\,b^{15}\right)}{64\,\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)}+\frac{\left(\frac{32\,B^3\,a^{16}\,b^2\,d^2+2442\,B^3\,a^{14}\,b^4\,d^2-4290\,B^3\,a^{12}\,b^6\,d^2-5246\,B^3\,a^{10}\,b^8\,d^2+9222\,B^3\,a^8\,b^{10}\,d^2+4862\,B^3\,a^6\,b^{12}\,d^2-3046\,B^3\,a^4\,b^{14}\,d^2-138\,B^3\,a^2\,b^{16}\,d^2+2\,B^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,B\,a^{21}\,b^3\,d^4-4160\,B\,a^{19}\,b^5\,d^4-10176\,B\,a^{17}\,b^7\,d^4-8448\,B\,a^{15}\,b^9\,d^4+10752\,B\,a^{13}\,b^{11}\,d^4+34944\,B\,a^{11}\,b^{13}\,d^4+40320\,B\,a^9\,b^{15}\,d^4+25344\,B\,a^7\,b^{17}\,d^4+8832\,B\,a^5\,b^{19}\,d^4+1472\,B\,a^3\,b^{21}\,d^4+64\,B\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{19}\,b^2\,d^2+1800\,B^2\,a^{17}\,b^4\,d^2+64\,B^2\,a^{15}\,b^6\,d^2-9248\,B^2\,a^{13}\,b^8\,d^2-5056\,B^2\,a^{11}\,b^{10}\,d^2+14128\,B^2\,a^9\,b^{12}\,d^2+15296\,B^2\,a^7\,b^{14}\,d^2+2528\,B^2\,a^5\,b^{16}\,d^2-1152\,B^2\,a^3\,b^{18}\,d^2+8\,B^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-225\,B^4\,a^{12}\,b^3+1922\,B^4\,a^{10}\,b^5-3631\,B^4\,a^8\,b^7+2460\,B^4\,a^6\,b^9+49\,B^4\,a^4\,b^{11}+2\,B^4\,a^2\,b^{13}-B^4\,b^{15}\right)}{64\,\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)}-\frac{\left(\frac{32\,B^3\,a^{16}\,b^2\,d^2+2442\,B^3\,a^{14}\,b^4\,d^2-4290\,B^3\,a^{12}\,b^6\,d^2-5246\,B^3\,a^{10}\,b^8\,d^2+9222\,B^3\,a^8\,b^{10}\,d^2+4862\,B^3\,a^6\,b^{12}\,d^2-3046\,B^3\,a^4\,b^{14}\,d^2-138\,B^3\,a^2\,b^{16}\,d^2+2\,B^3\,b^{18}\,d^2}{64\,\left(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{\left(\frac{\left(\frac{-640\,B\,a^{21}\,b^3\,d^4-4160\,B\,a^{19}\,b^5\,d^4-10176\,B\,a^{17}\,b^7\,d^4-8448\,B\,a^{15}\,b^9\,d^4+10752\,B\,a^{13}\,b^{11}\,d^4+34944\,B\,a^{11}\,b^{13}\,d^4+40320\,B\,a^9\,b^{15}\,d^4+25344\,B\,a^7\,b^{17}\,d^4+8832\,B\,a^5\,b^{19}\,d^4+1472\,B\,a^3\,b^{21}\,d^4+64\,B\,a\,b^{23}\,d^4}{64\,\left(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)}\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,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)}{4096\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{19}\,b^2\,d^2+1800\,B^2\,a^{17}\,b^4\,d^2+64\,B^2\,a^{15}\,b^6\,d^2-9248\,B^2\,a^{13}\,b^8\,d^2-5056\,B^2\,a^{11}\,b^{10}\,d^2+14128\,B^2\,a^9\,b^{12}\,d^2+15296\,B^2\,a^7\,b^{14}\,d^2+2528\,B^2\,a^5\,b^{16}\,d^2-1152\,B^2\,a^3\,b^{18}\,d^2+8\,B^2\,a\,b^{20}\,d^2\right)}{64\,\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)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{64\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}}{a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2}}\right)\,\sqrt{-64\,\left(225\,B^2\,a^8\,b-540\,B^2\,a^6\,b^3+294\,B^2\,a^4\,b^5+36\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{15}\,d^2+6\,a^{13}\,b^2\,d^2+15\,a^{11}\,b^4\,d^2+20\,a^9\,b^6\,d^2+15\,a^7\,b^8\,d^2+6\,a^5\,b^{10}\,d^2+a^3\,b^{12}\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,A^4\,a^{12}\,b^5+6802\,A^4\,a^{10}\,b^7+857\,A^4\,a^8\,b^9+892\,A^4\,a^6\,b^{11}-71\,A^4\,a^4\,b^{13}+18\,A^4\,a^2\,b^{15}-9\,A^4\,b^{17}\right)}{64\,\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)}-\frac{\left(\frac{-32\,A^3\,a^{17}\,b^3\,d^2+2258\,A^3\,a^{15}\,b^5\,d^2-14970\,A^3\,a^{13}\,b^7\,d^2-34486\,A^3\,a^{11}\,b^9\,d^2-14578\,A^3\,a^9\,b^{11}\,d^2+3606\,A^3\,a^7\,b^{13}\,d^2+1714\,A^3\,a^5\,b^{15}\,d^2+846\,A^3\,a^3\,b^{17}\,d^2+90\,A^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,A\,a^{24}\,b^2\,d^4+384\,A\,a^{22}\,b^4\,d^4+7872\,A\,a^{20}\,b^6\,d^4+33984\,A\,a^{18}\,b^8\,d^4+76800\,A\,a^{16}\,b^{10}\,d^4+107520\,A\,a^{14}\,b^{12}\,d^4+99456\,A\,a^{12}\,b^{14}\,d^4+62592\,A\,a^{10}\,b^{16}\,d^4+27264\,A\,a^8\,b^{18}\,d^4+8320\,A\,a^6\,b^{20}\,d^4+1728\,A\,a^4\,b^{22}\,d^4+192\,A\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{21}\,b^2\,d^2+12616\,A^2\,a^{17}\,b^6\,d^2+47680\,A^2\,a^{15}\,b^8\,d^2+70240\,A^2\,a^{13}\,b^{10}\,d^2+53184\,A^2\,a^{11}\,b^{12}\,d^2+27824\,A^2\,a^9\,b^{14}\,d^2+14272\,A^2\,a^7\,b^{16}\,d^2+5024\,A^2\,a^5\,b^{18}\,d^2+576\,A^2\,a^3\,b^{20}\,d^2+72\,A^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,A^4\,a^{12}\,b^5+6802\,A^4\,a^{10}\,b^7+857\,A^4\,a^8\,b^9+892\,A^4\,a^6\,b^{11}-71\,A^4\,a^4\,b^{13}+18\,A^4\,a^2\,b^{15}-9\,A^4\,b^{17}\right)}{64\,\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)}+\frac{\left(\frac{-32\,A^3\,a^{17}\,b^3\,d^2+2258\,A^3\,a^{15}\,b^5\,d^2-14970\,A^3\,a^{13}\,b^7\,d^2-34486\,A^3\,a^{11}\,b^9\,d^2-14578\,A^3\,a^9\,b^{11}\,d^2+3606\,A^3\,a^7\,b^{13}\,d^2+1714\,A^3\,a^5\,b^{15}\,d^2+846\,A^3\,a^3\,b^{17}\,d^2+90\,A^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,A\,a^{24}\,b^2\,d^4+384\,A\,a^{22}\,b^4\,d^4+7872\,A\,a^{20}\,b^6\,d^4+33984\,A\,a^{18}\,b^8\,d^4+76800\,A\,a^{16}\,b^{10}\,d^4+107520\,A\,a^{14}\,b^{12}\,d^4+99456\,A\,a^{12}\,b^{14}\,d^4+62592\,A\,a^{10}\,b^{16}\,d^4+27264\,A\,a^8\,b^{18}\,d^4+8320\,A\,a^6\,b^{20}\,d^4+1728\,A\,a^4\,b^{22}\,d^4+192\,A\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{21}\,b^2\,d^2+12616\,A^2\,a^{17}\,b^6\,d^2+47680\,A^2\,a^{15}\,b^8\,d^2+70240\,A^2\,a^{13}\,b^{10}\,d^2+53184\,A^2\,a^{11}\,b^{12}\,d^2+27824\,A^2\,a^9\,b^{14}\,d^2+14272\,A^2\,a^7\,b^{16}\,d^2+5024\,A^2\,a^5\,b^{18}\,d^2+576\,A^2\,a^3\,b^{20}\,d^2+72\,A^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}}{\frac{1505\,A^5\,a^8\,b^6+748\,A^5\,a^6\,b^8+318\,A^5\,a^4\,b^{10}+60\,A^5\,a^2\,b^{12}+9\,A^5\,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^4\,a^{12}\,b^5+6802\,A^4\,a^{10}\,b^7+857\,A^4\,a^8\,b^9+892\,A^4\,a^6\,b^{11}-71\,A^4\,a^4\,b^{13}+18\,A^4\,a^2\,b^{15}-9\,A^4\,b^{17}\right)}{64\,\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)}-\frac{\left(\frac{-32\,A^3\,a^{17}\,b^3\,d^2+2258\,A^3\,a^{15}\,b^5\,d^2-14970\,A^3\,a^{13}\,b^7\,d^2-34486\,A^3\,a^{11}\,b^9\,d^2-14578\,A^3\,a^9\,b^{11}\,d^2+3606\,A^3\,a^7\,b^{13}\,d^2+1714\,A^3\,a^5\,b^{15}\,d^2+846\,A^3\,a^3\,b^{17}\,d^2+90\,A^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,A\,a^{24}\,b^2\,d^4+384\,A\,a^{22}\,b^4\,d^4+7872\,A\,a^{20}\,b^6\,d^4+33984\,A\,a^{18}\,b^8\,d^4+76800\,A\,a^{16}\,b^{10}\,d^4+107520\,A\,a^{14}\,b^{12}\,d^4+99456\,A\,a^{12}\,b^{14}\,d^4+62592\,A\,a^{10}\,b^{16}\,d^4+27264\,A\,a^8\,b^{18}\,d^4+8320\,A\,a^6\,b^{20}\,d^4+1728\,A\,a^4\,b^{22}\,d^4+192\,A\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{21}\,b^2\,d^2+12616\,A^2\,a^{17}\,b^6\,d^2+47680\,A^2\,a^{15}\,b^8\,d^2+70240\,A^2\,a^{13}\,b^{10}\,d^2+53184\,A^2\,a^{11}\,b^{12}\,d^2+27824\,A^2\,a^9\,b^{14}\,d^2+14272\,A^2\,a^7\,b^{16}\,d^2+5024\,A^2\,a^5\,b^{18}\,d^2+576\,A^2\,a^3\,b^{20}\,d^2+72\,A^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,A^4\,a^{12}\,b^5+6802\,A^4\,a^{10}\,b^7+857\,A^4\,a^8\,b^9+892\,A^4\,a^6\,b^{11}-71\,A^4\,a^4\,b^{13}+18\,A^4\,a^2\,b^{15}-9\,A^4\,b^{17}\right)}{64\,\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)}+\frac{\left(\frac{-32\,A^3\,a^{17}\,b^3\,d^2+2258\,A^3\,a^{15}\,b^5\,d^2-14970\,A^3\,a^{13}\,b^7\,d^2-34486\,A^3\,a^{11}\,b^9\,d^2-14578\,A^3\,a^9\,b^{11}\,d^2+3606\,A^3\,a^7\,b^{13}\,d^2+1714\,A^3\,a^5\,b^{15}\,d^2+846\,A^3\,a^3\,b^{17}\,d^2+90\,A^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,A\,a^{24}\,b^2\,d^4+384\,A\,a^{22}\,b^4\,d^4+7872\,A\,a^{20}\,b^6\,d^4+33984\,A\,a^{18}\,b^8\,d^4+76800\,A\,a^{16}\,b^{10}\,d^4+107520\,A\,a^{14}\,b^{12}\,d^4+99456\,A\,a^{12}\,b^{14}\,d^4+62592\,A\,a^{10}\,b^{16}\,d^4+27264\,A\,a^8\,b^{18}\,d^4+8320\,A\,a^6\,b^{20}\,d^4+1728\,A\,a^4\,b^{22}\,d^4+192\,A\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,A^2\,a^{21}\,b^2\,d^2+12616\,A^2\,a^{17}\,b^6\,d^2+47680\,A^2\,a^{15}\,b^8\,d^2+70240\,A^2\,a^{13}\,b^{10}\,d^2+53184\,A^2\,a^{11}\,b^{12}\,d^2+27824\,A^2\,a^9\,b^{14}\,d^2+14272\,A^2\,a^7\,b^{16}\,d^2+5024\,A^2\,a^5\,b^{18}\,d^2+576\,A^2\,a^3\,b^{20}\,d^2+72\,A^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}}\right)\,\sqrt{-64\,\left(1225\,A^2\,a^8\,b^3+420\,A^2\,a^6\,b^5+246\,A^2\,a^4\,b^7+36\,A^2\,a^2\,b^9+9\,A^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}","Not used",1,"((A*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)) + (A*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)) - ((tan(c + d*x)^(1/2)*(B*b^3 + 9*B*a^2*b))/(4*(a^4 + b^4 + 2*a^2*b^2)) - (tan(c + d*x)^(3/2)*(B*b^4 - 7*B*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*A*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*A*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*A^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*A*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*((4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*A*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*A^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*A^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (A^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*(-(4*(-A^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (A^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + (log((((((((((64*B*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*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))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*B*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*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))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*B*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*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))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*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))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*B*b^3*(b^4 - 10*a^4 + 15*a^2*b^2))/(a*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*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))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*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))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + (atan(((((tan(c + d*x)^(1/2)*(2*B^4*a^2*b^13 - B^4*b^15 + 49*B^4*a^4*b^11 + 2460*B^4*a^6*b^9 - 3631*B^4*a^8*b^7 + 1922*B^4*a^10*b^5 - 225*B^4*a^12*b^3))/(64*(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^3*b^18*d^2 - 138*B^3*a^2*b^16*d^2 - 3046*B^3*a^4*b^14*d^2 + 4862*B^3*a^6*b^12*d^2 + 9222*B^3*a^8*b^10*d^2 - 5246*B^3*a^10*b^8*d^2 - 4290*B^3*a^12*b^6*d^2 + 2442*B^3*a^14*b^4*d^2 + 32*B^3*a^16*b^2*d^2)/(64*(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)) - (((((64*B*a*b^23*d^4 + 1472*B*a^3*b^21*d^4 + 8832*B*a^5*b^19*d^4 + 25344*B*a^7*b^17*d^4 + 40320*B*a^9*b^15*d^4 + 34944*B*a^11*b^13*d^4 + 10752*B*a^13*b^11*d^4 - 8448*B*a^15*b^9*d^4 - 10176*B*a^17*b^7*d^4 - 4160*B*a^19*b^5*d^4 - 640*B*a^21*b^3*d^4)/(64*(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)*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) + (tan(c + d*x)^(1/2)*(2528*B^2*a^5*b^16*d^2 - 1152*B^2*a^3*b^18*d^2 + 15296*B^2*a^7*b^14*d^2 + 14128*B^2*a^9*b^12*d^2 - 5056*B^2*a^11*b^10*d^2 - 9248*B^2*a^13*b^8*d^2 + 64*B^2*a^15*b^6*d^2 + 1800*B^2*a^17*b^4*d^2 + 64*B^2*a^19*b^2*d^2 + 8*B^2*a*b^20*d^2))/(64*(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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2)*1i)/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2) + (((tan(c + d*x)^(1/2)*(2*B^4*a^2*b^13 - B^4*b^15 + 49*B^4*a^4*b^11 + 2460*B^4*a^6*b^9 - 3631*B^4*a^8*b^7 + 1922*B^4*a^10*b^5 - 225*B^4*a^12*b^3))/(64*(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^3*b^18*d^2 - 138*B^3*a^2*b^16*d^2 - 3046*B^3*a^4*b^14*d^2 + 4862*B^3*a^6*b^12*d^2 + 9222*B^3*a^8*b^10*d^2 - 5246*B^3*a^10*b^8*d^2 - 4290*B^3*a^12*b^6*d^2 + 2442*B^3*a^14*b^4*d^2 + 32*B^3*a^16*b^2*d^2)/(64*(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)) - (((((64*B*a*b^23*d^4 + 1472*B*a^3*b^21*d^4 + 8832*B*a^5*b^19*d^4 + 25344*B*a^7*b^17*d^4 + 40320*B*a^9*b^15*d^4 + 34944*B*a^11*b^13*d^4 + 10752*B*a^13*b^11*d^4 - 8448*B*a^15*b^9*d^4 - 10176*B*a^17*b^7*d^4 - 4160*B*a^19*b^5*d^4 - 640*B*a^21*b^3*d^4)/(64*(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)*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) - (tan(c + d*x)^(1/2)*(2528*B^2*a^5*b^16*d^2 - 1152*B^2*a^3*b^18*d^2 + 15296*B^2*a^7*b^14*d^2 + 14128*B^2*a^9*b^12*d^2 - 5056*B^2*a^11*b^10*d^2 - 9248*B^2*a^13*b^8*d^2 + 64*B^2*a^15*b^6*d^2 + 1800*B^2*a^17*b^4*d^2 + 64*B^2*a^19*b^2*d^2 + 8*B^2*a*b^20*d^2))/(64*(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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2)*1i)/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))/((7*B^5*a*b^11 + 116*B^5*a^3*b^9 - 270*B^5*a^5*b^7 + 420*B^5*a^7*b^5 - 225*B^5*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) - (((tan(c + d*x)^(1/2)*(2*B^4*a^2*b^13 - B^4*b^15 + 49*B^4*a^4*b^11 + 2460*B^4*a^6*b^9 - 3631*B^4*a^8*b^7 + 1922*B^4*a^10*b^5 - 225*B^4*a^12*b^3))/(64*(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^3*b^18*d^2 - 138*B^3*a^2*b^16*d^2 - 3046*B^3*a^4*b^14*d^2 + 4862*B^3*a^6*b^12*d^2 + 9222*B^3*a^8*b^10*d^2 - 5246*B^3*a^10*b^8*d^2 - 4290*B^3*a^12*b^6*d^2 + 2442*B^3*a^14*b^4*d^2 + 32*B^3*a^16*b^2*d^2)/(64*(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)) - (((((64*B*a*b^23*d^4 + 1472*B*a^3*b^21*d^4 + 8832*B*a^5*b^19*d^4 + 25344*B*a^7*b^17*d^4 + 40320*B*a^9*b^15*d^4 + 34944*B*a^11*b^13*d^4 + 10752*B*a^13*b^11*d^4 - 8448*B*a^15*b^9*d^4 - 10176*B*a^17*b^7*d^4 - 4160*B*a^19*b^5*d^4 - 640*B*a^21*b^3*d^4)/(64*(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)*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) + (tan(c + d*x)^(1/2)*(2528*B^2*a^5*b^16*d^2 - 1152*B^2*a^3*b^18*d^2 + 15296*B^2*a^7*b^14*d^2 + 14128*B^2*a^9*b^12*d^2 - 5056*B^2*a^11*b^10*d^2 - 9248*B^2*a^13*b^8*d^2 + 64*B^2*a^15*b^6*d^2 + 1800*B^2*a^17*b^4*d^2 + 64*B^2*a^19*b^2*d^2 + 8*B^2*a*b^20*d^2))/(64*(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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2) + (((tan(c + d*x)^(1/2)*(2*B^4*a^2*b^13 - B^4*b^15 + 49*B^4*a^4*b^11 + 2460*B^4*a^6*b^9 - 3631*B^4*a^8*b^7 + 1922*B^4*a^10*b^5 - 225*B^4*a^12*b^3))/(64*(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^3*b^18*d^2 - 138*B^3*a^2*b^16*d^2 - 3046*B^3*a^4*b^14*d^2 + 4862*B^3*a^6*b^12*d^2 + 9222*B^3*a^8*b^10*d^2 - 5246*B^3*a^10*b^8*d^2 - 4290*B^3*a^12*b^6*d^2 + 2442*B^3*a^14*b^4*d^2 + 32*B^3*a^16*b^2*d^2)/(64*(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)) - (((((64*B*a*b^23*d^4 + 1472*B*a^3*b^21*d^4 + 8832*B*a^5*b^19*d^4 + 25344*B*a^7*b^17*d^4 + 40320*B*a^9*b^15*d^4 + 34944*B*a^11*b^13*d^4 + 10752*B*a^13*b^11*d^4 - 8448*B*a^15*b^9*d^4 - 10176*B*a^17*b^7*d^4 - 4160*B*a^19*b^5*d^4 - 640*B*a^21*b^3*d^4)/(64*(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)*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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))/(4096*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) - (tan(c + d*x)^(1/2)*(2528*B^2*a^5*b^16*d^2 - 1152*B^2*a^3*b^18*d^2 + 15296*B^2*a^7*b^14*d^2 + 14128*B^2*a^9*b^12*d^2 - 5056*B^2*a^11*b^10*d^2 - 9248*B^2*a^13*b^8*d^2 + 64*B^2*a^15*b^6*d^2 + 1800*B^2*a^17*b^4*d^2 + 64*B^2*a^19*b^2*d^2 + 8*B^2*a*b^20*d^2))/(64*(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)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(64*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2))/(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)))*(-64*(B^2*b^9 + 225*B^2*a^8*b + 36*B^2*a^2*b^7 + 294*B^2*a^4*b^5 - 540*B^2*a^6*b^3)*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2))^(1/2)*1i)/(32*(a^15*d^2 + a^3*b^12*d^2 + 6*a^5*b^10*d^2 + 15*a^7*b^8*d^2 + 20*a^9*b^6*d^2 + 15*a^11*b^4*d^2 + 6*a^13*b^2*d^2)) - (atan(((((tan(c + d*x)^(1/2)*(18*A^4*a^2*b^15 - 9*A^4*b^17 - 71*A^4*a^4*b^13 + 892*A^4*a^6*b^11 + 857*A^4*a^8*b^9 + 6802*A^4*a^10*b^7 - 1257*A^4*a^12*b^5))/(64*(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)) - (((846*A^3*a^3*b^17*d^2 + 1714*A^3*a^5*b^15*d^2 + 3606*A^3*a^7*b^13*d^2 - 14578*A^3*a^9*b^11*d^2 - 34486*A^3*a^11*b^9*d^2 - 14970*A^3*a^13*b^7*d^2 + 2258*A^3*a^15*b^5*d^2 - 32*A^3*a^17*b^3*d^2 + 90*A^3*a*b^19*d^2)/(64*(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*a^2*b^24*d^4 + 1728*A*a^4*b^22*d^4 + 8320*A*a^6*b^20*d^4 + 27264*A*a^8*b^18*d^4 + 62592*A*a^10*b^16*d^4 + 99456*A*a^12*b^14*d^4 + 107520*A*a^14*b^12*d^4 + 76800*A*a^16*b^10*d^4 + 33984*A*a^18*b^8*d^4 + 7872*A*a^20*b^6*d^4 + 384*A*a^22*b^4*d^4 - 128*A*a^24*b^2*d^4)/(64*(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)*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) + (tan(c + d*x)^(1/2)*(576*A^2*a^3*b^20*d^2 + 5024*A^2*a^5*b^18*d^2 + 14272*A^2*a^7*b^16*d^2 + 27824*A^2*a^9*b^14*d^2 + 53184*A^2*a^11*b^12*d^2 + 70240*A^2*a^13*b^10*d^2 + 47680*A^2*a^15*b^8*d^2 + 12616*A^2*a^17*b^6*d^2 - 64*A^2*a^21*b^2*d^2 + 72*A^2*a*b^22*d^2))/(64*(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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2)*1i)/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2) + (((tan(c + d*x)^(1/2)*(18*A^4*a^2*b^15 - 9*A^4*b^17 - 71*A^4*a^4*b^13 + 892*A^4*a^6*b^11 + 857*A^4*a^8*b^9 + 6802*A^4*a^10*b^7 - 1257*A^4*a^12*b^5))/(64*(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)) + (((846*A^3*a^3*b^17*d^2 + 1714*A^3*a^5*b^15*d^2 + 3606*A^3*a^7*b^13*d^2 - 14578*A^3*a^9*b^11*d^2 - 34486*A^3*a^11*b^9*d^2 - 14970*A^3*a^13*b^7*d^2 + 2258*A^3*a^15*b^5*d^2 - 32*A^3*a^17*b^3*d^2 + 90*A^3*a*b^19*d^2)/(64*(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*a^2*b^24*d^4 + 1728*A*a^4*b^22*d^4 + 8320*A*a^6*b^20*d^4 + 27264*A*a^8*b^18*d^4 + 62592*A*a^10*b^16*d^4 + 99456*A*a^12*b^14*d^4 + 107520*A*a^14*b^12*d^4 + 76800*A*a^16*b^10*d^4 + 33984*A*a^18*b^8*d^4 + 7872*A*a^20*b^6*d^4 + 384*A*a^22*b^4*d^4 - 128*A*a^24*b^2*d^4)/(64*(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)*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) - (tan(c + d*x)^(1/2)*(576*A^2*a^3*b^20*d^2 + 5024*A^2*a^5*b^18*d^2 + 14272*A^2*a^7*b^16*d^2 + 27824*A^2*a^9*b^14*d^2 + 53184*A^2*a^11*b^12*d^2 + 70240*A^2*a^13*b^10*d^2 + 47680*A^2*a^15*b^8*d^2 + 12616*A^2*a^17*b^6*d^2 - 64*A^2*a^21*b^2*d^2 + 72*A^2*a*b^22*d^2))/(64*(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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2)*1i)/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))/((9*A^5*b^14 + 60*A^5*a^2*b^12 + 318*A^5*a^4*b^10 + 748*A^5*a^6*b^8 + 1505*A^5*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^4*a^2*b^15 - 9*A^4*b^17 - 71*A^4*a^4*b^13 + 892*A^4*a^6*b^11 + 857*A^4*a^8*b^9 + 6802*A^4*a^10*b^7 - 1257*A^4*a^12*b^5))/(64*(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)) - (((846*A^3*a^3*b^17*d^2 + 1714*A^3*a^5*b^15*d^2 + 3606*A^3*a^7*b^13*d^2 - 14578*A^3*a^9*b^11*d^2 - 34486*A^3*a^11*b^9*d^2 - 14970*A^3*a^13*b^7*d^2 + 2258*A^3*a^15*b^5*d^2 - 32*A^3*a^17*b^3*d^2 + 90*A^3*a*b^19*d^2)/(64*(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*a^2*b^24*d^4 + 1728*A*a^4*b^22*d^4 + 8320*A*a^6*b^20*d^4 + 27264*A*a^8*b^18*d^4 + 62592*A*a^10*b^16*d^4 + 99456*A*a^12*b^14*d^4 + 107520*A*a^14*b^12*d^4 + 76800*A*a^16*b^10*d^4 + 33984*A*a^18*b^8*d^4 + 7872*A*a^20*b^6*d^4 + 384*A*a^22*b^4*d^4 - 128*A*a^24*b^2*d^4)/(64*(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)*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) + (tan(c + d*x)^(1/2)*(576*A^2*a^3*b^20*d^2 + 5024*A^2*a^5*b^18*d^2 + 14272*A^2*a^7*b^16*d^2 + 27824*A^2*a^9*b^14*d^2 + 53184*A^2*a^11*b^12*d^2 + 70240*A^2*a^13*b^10*d^2 + 47680*A^2*a^15*b^8*d^2 + 12616*A^2*a^17*b^6*d^2 - 64*A^2*a^21*b^2*d^2 + 72*A^2*a*b^22*d^2))/(64*(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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2) - (((tan(c + d*x)^(1/2)*(18*A^4*a^2*b^15 - 9*A^4*b^17 - 71*A^4*a^4*b^13 + 892*A^4*a^6*b^11 + 857*A^4*a^8*b^9 + 6802*A^4*a^10*b^7 - 1257*A^4*a^12*b^5))/(64*(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)) + (((846*A^3*a^3*b^17*d^2 + 1714*A^3*a^5*b^15*d^2 + 3606*A^3*a^7*b^13*d^2 - 14578*A^3*a^9*b^11*d^2 - 34486*A^3*a^11*b^9*d^2 - 14970*A^3*a^13*b^7*d^2 + 2258*A^3*a^15*b^5*d^2 - 32*A^3*a^17*b^3*d^2 + 90*A^3*a*b^19*d^2)/(64*(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*a^2*b^24*d^4 + 1728*A*a^4*b^22*d^4 + 8320*A*a^6*b^20*d^4 + 27264*A*a^8*b^18*d^4 + 62592*A*a^10*b^16*d^4 + 99456*A*a^12*b^14*d^4 + 107520*A*a^14*b^12*d^4 + 76800*A*a^16*b^10*d^4 + 33984*A*a^18*b^8*d^4 + 7872*A*a^20*b^6*d^4 + 384*A*a^22*b^4*d^4 - 128*A*a^24*b^2*d^4)/(64*(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)*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) - (tan(c + d*x)^(1/2)*(576*A^2*a^3*b^20*d^2 + 5024*A^2*a^5*b^18*d^2 + 14272*A^2*a^7*b^16*d^2 + 27824*A^2*a^9*b^14*d^2 + 53184*A^2*a^11*b^12*d^2 + 70240*A^2*a^13*b^10*d^2 + 47680*A^2*a^15*b^8*d^2 + 12616*A^2*a^17*b^6*d^2 - 64*A^2*a^21*b^2*d^2 + 72*A^2*a*b^22*d^2))/(64*(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)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*A^2*b^11 + 36*A^2*a^2*b^9 + 246*A^2*a^4*b^7 + 420*A^2*a^6*b^5 + 1225*A^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2)*1i)/(32*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))","B"
415,1,35300,601,48.475783,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3),x)","\frac{\frac{B\,\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\,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}-\frac{\frac{2\,A}{a}+\frac{A\,{\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{A\,\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}}+\frac{\ln\left(29491200\,A^5\,a^{22}\,b^{35}\,d^4-\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,A^4\,a^{55}\,b^5\,d^5-923009024\,A^4\,a^{53}\,b^7\,d^5-4917821440\,A^4\,a^{51}\,b^9\,d^5+10492051456\,A^4\,a^{49}\,b^{11}\,d^5+170768990208\,A^4\,a^{47}\,b^{13}\,d^5+726513221632\,A^4\,a^{45}\,b^{15}\,d^5+1807474491392\,A^4\,a^{43}\,b^{17}\,d^5+3053967114240\,A^4\,a^{41}\,b^{19}\,d^5+3717287903232\,A^4\,a^{39}\,b^{21}\,d^5+3345249468416\,A^4\,a^{37}\,b^{23}\,d^5+2240523796480\,A^4\,a^{35}\,b^{25}\,d^5+1104303620096\,A^4\,a^{33}\,b^{27}\,d^5+385487994880\,A^4\,a^{31}\,b^{29}\,d^5+85774565376\,A^4\,a^{29}\,b^{31}\,d^5+7610564608\,A^4\,a^{27}\,b^{33}\,d^5-1671430144\,A^4\,a^{25}\,b^{35}\,d^5-597688320\,A^4\,a^{23}\,b^{37}\,d^5-58982400\,A^4\,a^{21}\,b^{39}\,d^5\right)+\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}\,\left(\frac{\left(\frac{\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}+80\,A^2\,a^3\,b^3\,d^2-24\,A^2\,a\,b^5\,d^2-24\,A^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}\,\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)}{4}+251658240\,A\,a^{24}\,b^{45}\,d^8+5049942016\,A\,a^{26}\,b^{43}\,d^8+48368713728\,A\,a^{28}\,b^{41}\,d^8+293819383808\,A\,a^{30}\,b^{39}\,d^8+1268458192896\,A\,a^{32}\,b^{37}\,d^8+4132731617280\,A\,a^{34}\,b^{35}\,d^8+10531192700928\,A\,a^{36}\,b^{33}\,d^8+21462823993344\,A\,a^{38}\,b^{31}\,d^8+35469618315264\,A\,a^{40}\,b^{29}\,d^8+47896904859648\,A\,a^{42}\,b^{27}\,d^8+52983958077440\,A\,a^{44}\,b^{25}\,d^8+47896904859648\,A\,a^{46}\,b^{23}\,d^8+35090285461504\,A\,a^{48}\,b^{21}\,d^8+20487396655104\,A\,a^{50}\,b^{19}\,d^8+9230622916608\,A\,a^{52}\,b^{17}\,d^8+2994733056000\,A\,a^{54}\,b^{15}\,d^8+565576728576\,A\,a^{56}\,b^{13}\,d^8-18572378112\,A\,a^{58}\,b^{11}\,d^8-50281316352\,A\,a^{60}\,b^9\,d^8-16089350144\,A\,a^{62}\,b^7\,d^8-2516582400\,A\,a^{64}\,b^5\,d^8-167772160\,A\,a^{66}\,b^3\,d^8\right)}{4}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,A^2\,a^{64}\,b^2\,d^7+167772160\,A^2\,a^{62}\,b^4\,d^7+16777216\,A^2\,a^{60}\,b^6\,d^7+1612709888\,A^2\,a^{58}\,b^8\,d^7+86608183296\,A^2\,a^{56}\,b^{10}\,d^7+805425905664\,A^2\,a^{54}\,b^{12}\,d^7+4030457708544\,A^2\,a^{52}\,b^{14}\,d^7+13411815522304\,A^2\,a^{50}\,b^{16}\,d^7+32432589897728\,A^2\,a^{48}\,b^{18}\,d^7+59767095558144\,A^2\,a^{46}\,b^{20}\,d^7+86342935511040\,A^2\,a^{44}\,b^{22}\,d^7+99508717355008\,A^2\,a^{42}\,b^{24}\,d^7+92434029608960\,A^2\,a^{40}\,b^{26}\,d^7+69534945902592\,A^2\,a^{38}\,b^{28}\,d^7+42351565209600\,A^2\,a^{36}\,b^{30}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6655104\,A\,a^{50}\,b^{19}\,d^8+9230622916608\,A\,a^{52}\,b^{17}\,d^8+2994733056000\,A\,a^{54}\,b^{15}\,d^8+565576728576\,A\,a^{56}\,b^{13}\,d^8-18572378112\,A\,a^{58}\,b^{11}\,d^8-50281316352\,A\,a^{60}\,b^9\,d^8-16089350144\,A\,a^{62}\,b^7\,d^8-2516582400\,A\,a^{64}\,b^5\,d^8-167772160\,A\,a^{66}\,b^3\,d^8\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,A^2\,a^{64}\,b^2\,d^7+167772160\,A^2\,a^{62}\,b^4\,d^7+16777216\,A^2\,a^{60}\,b^6\,d^7+1612709888\,A^2\,a^{58}\,b^8\,d^7+86608183296\,A^2\,a^{56}\,b^{10}\,d^7+805425905664\,A^2\,a^{54}\,b^{12}\,d^7+4030457708544\,A^2\,a^{52}\,b^{14}\,d^7+13411815522304\,A^2\,a^{50}\,b^{16}\,d^7+32432589897728\,A^2\,a^{48}\,b^{18}\,d^7+59767095558144\,A^2\,a^{46}\,b^{20}\,d^7+86342935511040\,A^2\,a^{44}\,b^{22}\,d^7+99508717355008\,A^2\,a^{42}\,b^{24}\,d^7+92434029608960\,A^2\,a^{40}\,b^{26}\,d^7+69534945902592\,A^2\,a^{38}\,b^{28}\,d^7+42351565209600\,A^2\,a^{36}\,b^{30}\,d^7+20769933361152\,A^2\,a^{34}\,b^{32}\,d^7+8104469069824\,A^2\,a^{32}\,b^{34}\,d^7+2464648527872\,A^2\,a^{30}\,b^{36}\,d^7+564502986752\,A^2\,a^{28}\,b^{38}\,d^7+91857354752\,A^2\,a^{26}\,b^{40}\,d^7+9500098560\,A^2\,a^{24}\,b^{42}\,d^7+471859200\,A^2\,a^{22}\,b^{44}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-117964800\,A^3\,a^{21}\,b^{42}\,d^6-841482240\,A^3\,a^{23}\,b^{40}\,d^6+3829399552\,A^3\,a^{25}\,b^{38}\,d^6+78068580352\,A^3\,a^{27}\,b^{36}\,d^6+497438162944\,A^3\,a^{29}\,b^{34}\,d^6+1899895980032\,A^3\,a^{31}\,b^{32}\,d^6+4972695519232\,A^3\,a^{33}\,b^{30}\,d^6+9371195015168\,A^3\,a^{35}\,b^{28}\,d^6+12890720436224\,A^3\,a^{37}\,b^{26}\,d^6+12726089809920\,A^3\,a^{39}\,b^{24}\,d^6+8366961197056\,A^3\,a^{41}\,b^{22}\,d^6+2597662490624\,A^3\,a^{43}\,b^{20}\,d^6-1171836108800\,A^3\,a^{45}\,b^{18}\,d^6-1986881650688\,A^3\,a^{47}\,b^{16}\,d^6-1237583921152\,A^3\,a^{49}\,b^{14}\,d^6-449507753984\,A^3\,a^{51}\,b^{12}\,d^6-97476149248\,A^3\,a^{53}\,b^{10}\,d^6-11931222016\,A^3\,a^{55}\,b^8\,d^6-1006632960\,A^3\,a^{57}\,b^6\,d^6-134217728\,A^3\,a^{59}\,b^4\,d^6-8388608\,A^3\,a^{61}\,b^2\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+29491200\,A^5\,a^{22}\,b^{35}\,d^4+460062720\,A^5\,a^{24}\,b^{33}\,d^4+3439722496\,A^5\,a^{26}\,b^{31}\,d^4+16227237888\,A^5\,a^{28}\,b^{29}\,d^4+53669396480\,A^5\,a^{30}\,b^{27}\,d^4+131031367680\,A^5\,a^{32}\,b^{25}\,d^4+242529730560\,A^5\,a^{34}\,b^{23}\,d^4+344454070272\,A^5\,a^{36}\,b^{21}\,d^4+375993532416\,A^5\,a^{38}\,b^{19}\,d^4+313043189760\,A^5\,a^{40}\,b^{17}\,d^4+195253370880\,A^5\,a^{42}\,b^{15}\,d^4+88318935040\,A^5\,a^{44}\,b^{13}\,d^4+27352498176\,A^5\,a^{46}\,b^{11}\,d^4+5187043328\,A^5\,a^{48}\,b^9\,d^4+454164480\,A^5\,a^{50}\,b^7\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^{12}\,d^4+480\,A^4\,a^{10}\,b^2\,d^4-4080\,A^4\,a^8\,b^4\,d^4+7232\,A^4\,a^6\,b^6\,d^4-4080\,A^4\,a^4\,b^8\,d^4+480\,A^4\,a^2\,b^{10}\,d^4-16\,A^4\,b^{12}\,d^4}-80\,A^2\,a^3\,b^3\,d^2+24\,A^2\,a\,b^5\,d^2+24\,A^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}+128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{8\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{a^{12}\,d^4+6\,a^{10}\,b^2\,d^4+15\,a^8\,b^4\,d^4+20\,a^6\,b^6\,d^4+15\,a^4\,b^8\,d^4+6\,a^2\,b^{10}\,d^4+b^{12}\,d^4}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-80\,B^2\,a^3\,b^3\,d^2+24\,B^2\,a\,b^5\,d^2+24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{64\,B\,b^2\,\left(-2\,a^6+22\,a^4\,b^2+3\,a^2\,b^4+3\,b^6\right)}{a^2\,d}-128\,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{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{8\,B^2\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8\,a^{12}+32\,a^{10}\,b^2+1497\,a^8\,b^4-188\,a^6\,b^6+430\,a^4\,b^8+36\,a^2\,b^{10}+9\,b^{12}\right)}{a^3\,d^2\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{2\,B^3\,b^3\,\left(-16\,a^{12}+1161\,a^{10}\,b^2-9791\,a^8\,b^4+1178\,a^6\,b^6+146\,a^4\,b^8+333\,a^2\,b^{10}+45\,b^{12}\right)}{a^3\,d^3\,{\left(a^2+b^2\right)}^6}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}-\frac{B^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,a^{12}+6802\,a^{10}\,b^2+857\,a^8\,b^4+892\,a^6\,b^6-71\,a^4\,b^8+18\,a^2\,b^{10}-9\,b^{12}\right)}{a^4\,d^4\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,d^4\,{\left(a^6-15\,a^4\,b^2+15\,a^2\,b^4-b^6\right)}^2}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^6}}}{4}+\frac{B^5\,b^6\,\left(1505\,a^8+748\,a^6\,b^2+318\,a^4\,b^4+60\,a^2\,b^6+9\,b^8\right)}{2\,a^4\,d^5\,{\left(a^2+b^2\right)}^8}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+480\,B^4\,a^{10}\,b^2\,d^4-4080\,B^4\,a^8\,b^4\,d^4+7232\,B^4\,a^6\,b^6\,d^4-4080\,B^4\,a^4\,b^8\,d^4+480\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+80\,B^2\,a^3\,b^3\,d^2-24\,B^2\,a\,b^5\,d^2-24\,B^2\,a^5\,b\,d^2}{16\,a^{12}\,d^4+96\,a^{10}\,b^2\,d^4+240\,a^8\,b^4\,d^4+320\,a^6\,b^6\,d^4+240\,a^4\,b^8\,d^4+96\,a^2\,b^{10}\,d^4+16\,b^{12}\,d^4}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{-32\,B^3\,a^{17}\,b^3\,d^2+2258\,B^3\,a^{15}\,b^5\,d^2-14970\,B^3\,a^{13}\,b^7\,d^2-34486\,B^3\,a^{11}\,b^9\,d^2-14578\,B^3\,a^9\,b^{11}\,d^2+3606\,B^3\,a^7\,b^{13}\,d^2+1714\,B^3\,a^5\,b^{15}\,d^2+846\,B^3\,a^3\,b^{17}\,d^2+90\,B^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,B\,a^{24}\,b^2\,d^4+384\,B\,a^{22}\,b^4\,d^4+7872\,B\,a^{20}\,b^6\,d^4+33984\,B\,a^{18}\,b^8\,d^4+76800\,B\,a^{16}\,b^{10}\,d^4+107520\,B\,a^{14}\,b^{12}\,d^4+99456\,B\,a^{12}\,b^{14}\,d^4+62592\,B\,a^{10}\,b^{16}\,d^4+27264\,B\,a^8\,b^{18}\,d^4+8320\,B\,a^6\,b^{20}\,d^4+1728\,B\,a^4\,b^{22}\,d^4+192\,B\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{21}\,b^2\,d^2+12616\,B^2\,a^{17}\,b^6\,d^2+47680\,B^2\,a^{15}\,b^8\,d^2+70240\,B^2\,a^{13}\,b^{10}\,d^2+53184\,B^2\,a^{11}\,b^{12}\,d^2+27824\,B^2\,a^9\,b^{14}\,d^2+14272\,B^2\,a^7\,b^{16}\,d^2+5024\,B^2\,a^5\,b^{18}\,d^2+576\,B^2\,a^3\,b^{20}\,d^2+72\,B^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,B^4\,a^{12}\,b^5+6802\,B^4\,a^{10}\,b^7+857\,B^4\,a^8\,b^9+892\,B^4\,a^6\,b^{11}-71\,B^4\,a^4\,b^{13}+18\,B^4\,a^2\,b^{15}-9\,B^4\,b^{17}\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}-\frac{\left(\frac{\left(\frac{-32\,B^3\,a^{17}\,b^3\,d^2+2258\,B^3\,a^{15}\,b^5\,d^2-14970\,B^3\,a^{13}\,b^7\,d^2-34486\,B^3\,a^{11}\,b^9\,d^2-14578\,B^3\,a^9\,b^{11}\,d^2+3606\,B^3\,a^7\,b^{13}\,d^2+1714\,B^3\,a^5\,b^{15}\,d^2+846\,B^3\,a^3\,b^{17}\,d^2+90\,B^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,B\,a^{24}\,b^2\,d^4+384\,B\,a^{22}\,b^4\,d^4+7872\,B\,a^{20}\,b^6\,d^4+33984\,B\,a^{18}\,b^8\,d^4+76800\,B\,a^{16}\,b^{10}\,d^4+107520\,B\,a^{14}\,b^{12}\,d^4+99456\,B\,a^{12}\,b^{14}\,d^4+62592\,B\,a^{10}\,b^{16}\,d^4+27264\,B\,a^8\,b^{18}\,d^4+8320\,B\,a^6\,b^{20}\,d^4+1728\,B\,a^4\,b^{22}\,d^4+192\,B\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{21}\,b^2\,d^2+12616\,B^2\,a^{17}\,b^6\,d^2+47680\,B^2\,a^{15}\,b^8\,d^2+70240\,B^2\,a^{13}\,b^{10}\,d^2+53184\,B^2\,a^{11}\,b^{12}\,d^2+27824\,B^2\,a^9\,b^{14}\,d^2+14272\,B^2\,a^7\,b^{16}\,d^2+5024\,B^2\,a^5\,b^{18}\,d^2+576\,B^2\,a^3\,b^{20}\,d^2+72\,B^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,B^4\,a^{12}\,b^5+6802\,B^4\,a^{10}\,b^7+857\,B^4\,a^8\,b^9+892\,B^4\,a^6\,b^{11}-71\,B^4\,a^4\,b^{13}+18\,B^4\,a^2\,b^{15}-9\,B^4\,b^{17}\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}}{\frac{\left(\frac{\left(\frac{-32\,B^3\,a^{17}\,b^3\,d^2+2258\,B^3\,a^{15}\,b^5\,d^2-14970\,B^3\,a^{13}\,b^7\,d^2-34486\,B^3\,a^{11}\,b^9\,d^2-14578\,B^3\,a^9\,b^{11}\,d^2+3606\,B^3\,a^7\,b^{13}\,d^2+1714\,B^3\,a^5\,b^{15}\,d^2+846\,B^3\,a^3\,b^{17}\,d^2+90\,B^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,B\,a^{24}\,b^2\,d^4+384\,B\,a^{22}\,b^4\,d^4+7872\,B\,a^{20}\,b^6\,d^4+33984\,B\,a^{18}\,b^8\,d^4+76800\,B\,a^{16}\,b^{10}\,d^4+107520\,B\,a^{14}\,b^{12}\,d^4+99456\,B\,a^{12}\,b^{14}\,d^4+62592\,B\,a^{10}\,b^{16}\,d^4+27264\,B\,a^8\,b^{18}\,d^4+8320\,B\,a^6\,b^{20}\,d^4+1728\,B\,a^4\,b^{22}\,d^4+192\,B\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{21}\,b^2\,d^2+12616\,B^2\,a^{17}\,b^6\,d^2+47680\,B^2\,a^{15}\,b^8\,d^2+70240\,B^2\,a^{13}\,b^{10}\,d^2+53184\,B^2\,a^{11}\,b^{12}\,d^2+27824\,B^2\,a^9\,b^{14}\,d^2+14272\,B^2\,a^7\,b^{16}\,d^2+5024\,B^2\,a^5\,b^{18}\,d^2+576\,B^2\,a^3\,b^{20}\,d^2+72\,B^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,B^4\,a^{12}\,b^5+6802\,B^4\,a^{10}\,b^7+857\,B^4\,a^8\,b^9+892\,B^4\,a^6\,b^{11}-71\,B^4\,a^4\,b^{13}+18\,B^4\,a^2\,b^{15}-9\,B^4\,b^{17}\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}-\frac{1505\,B^5\,a^8\,b^6+748\,B^5\,a^6\,b^8+318\,B^5\,a^4\,b^{10}+60\,B^5\,a^2\,b^{12}+9\,B^5\,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{\left(\frac{-32\,B^3\,a^{17}\,b^3\,d^2+2258\,B^3\,a^{15}\,b^5\,d^2-14970\,B^3\,a^{13}\,b^7\,d^2-34486\,B^3\,a^{11}\,b^9\,d^2-14578\,B^3\,a^9\,b^{11}\,d^2+3606\,B^3\,a^7\,b^{13}\,d^2+1714\,B^3\,a^5\,b^{15}\,d^2+846\,B^3\,a^3\,b^{17}\,d^2+90\,B^3\,a\,b^{19}\,d^2}{64\,\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{\left(\frac{\left(\frac{-128\,B\,a^{24}\,b^2\,d^4+384\,B\,a^{22}\,b^4\,d^4+7872\,B\,a^{20}\,b^6\,d^4+33984\,B\,a^{18}\,b^8\,d^4+76800\,B\,a^{16}\,b^{10}\,d^4+107520\,B\,a^{14}\,b^{12}\,d^4+99456\,B\,a^{12}\,b^{14}\,d^4+62592\,B\,a^{10}\,b^{16}\,d^4+27264\,B\,a^8\,b^{18}\,d^4+8320\,B\,a^6\,b^{20}\,d^4+1728\,B\,a^4\,b^{22}\,d^4+192\,B\,a^2\,b^{24}\,d^4}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,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)}{4096\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{21}\,b^2\,d^2+12616\,B^2\,a^{17}\,b^6\,d^2+47680\,B^2\,a^{15}\,b^8\,d^2+70240\,B^2\,a^{13}\,b^{10}\,d^2+53184\,B^2\,a^{11}\,b^{12}\,d^2+27824\,B^2\,a^9\,b^{14}\,d^2+14272\,B^2\,a^7\,b^{16}\,d^2+5024\,B^2\,a^5\,b^{18}\,d^2+576\,B^2\,a^3\,b^{20}\,d^2+72\,B^2\,a\,b^{22}\,d^2\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{64\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}+\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-1257\,B^4\,a^{12}\,b^5+6802\,B^4\,a^{10}\,b^7+857\,B^4\,a^8\,b^9+892\,B^4\,a^6\,b^{11}-71\,B^4\,a^4\,b^{13}+18\,B^4\,a^2\,b^{15}-9\,B^4\,b^{17}\right)}{64\,\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{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}}{a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2}}\right)\,\sqrt{-64\,\left(1225\,B^2\,a^8\,b^3+420\,B^2\,a^6\,b^5+246\,B^2\,a^4\,b^7+36\,B^2\,a^2\,b^9+9\,B^2\,b^{11}\right)\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{17}\,d^2+6\,a^{15}\,b^2\,d^2+15\,a^{13}\,b^4\,d^2+20\,a^{11}\,b^6\,d^2+15\,a^9\,b^8\,d^2+6\,a^7\,b^{10}\,d^2+a^5\,b^{12}\,d^2\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,A^4\,a^{55}\,b^5\,d^5-923009024\,A^4\,a^{53}\,b^7\,d^5-4917821440\,A^4\,a^{51}\,b^9\,d^5+10492051456\,A^4\,a^{49}\,b^{11}\,d^5+170768990208\,A^4\,a^{47}\,b^{13}\,d^5+726513221632\,A^4\,a^{45}\,b^{15}\,d^5+1807474491392\,A^4\,a^{43}\,b^{17}\,d^5+3053967114240\,A^4\,a^{41}\,b^{19}\,d^5+3717287903232\,A^4\,a^{39}\,b^{21}\,d^5+3345249468416\,A^4\,a^{37}\,b^{23}\,d^5+2240523796480\,A^4\,a^{35}\,b^{25}\,d^5+1104303620096\,A^4\,a^{33}\,b^{27}\,d^5+385487994880\,A^4\,a^{31}\,b^{29}\,d^5+85774565376\,A^4\,a^{29}\,b^{31}\,d^5+7610564608\,A^4\,a^{27}\,b^{33}\,d^5-1671430144\,A^4\,a^{25}\,b^{35}\,d^5-597688320\,A^4\,a^{23}\,b^{37}\,d^5-58982400\,A^4\,a^{21}\,b^{39}\,d^5\right)}{64}-\frac{\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,A^2\,a^{64}\,b^2\,d^7+167772160\,A^2\,a^{62}\,b^4\,d^7+16777216\,A^2\,a^{60}\,b^6\,d^7+1612709888\,A^2\,a^{58}\,b^8\,d^7+86608183296\,A^2\,a^{56}\,b^{10}\,d^7+805425905664\,A^2\,a^{54}\,b^{12}\,d^7+4030457708544\,A^2\,a^{52}\,b^{14}\,d^7+13411815522304\,A^2\,a^{50}\,b^{16}\,d^7+32432589897728\,A^2\,a^{48}\,b^{18}\,d^7+59767095558144\,A^2\,a^{46}\,b^{20}\,d^7+86342935511040\,A^2\,a^{44}\,b^{22}\,d^7+99508717355008\,A^2\,a^{42}\,b^{24}\,d^7+92434029608960\,A^2\,a^{40}\,b^{26}\,d^7+69534945902592\,A^2\,a^{38}\,b^{28}\,d^7+42351565209600\,A^2\,a^{36}\,b^{30}\,d^7+20769933361152\,A^2\,a^{34}\,b^{32}\,d^7+8104469069824\,A^2\,a^{32}\,b^{34}\,d^7+2464648527872\,A^2\,a^{30}\,b^{36}\,d^7+564502986752\,A^2\,a^{28}\,b^{38}\,d^7+91857354752\,A^2\,a^{26}\,b^{40}\,d^7+9500098560\,A^2\,a^{24}\,b^{42}\,d^7+471859200\,A^2\,a^{22}\,b^{44}\,d^7\right)}{64}+\frac{\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\,\left(3932160\,A\,a^{24}\,b^{45}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,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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eft(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}}{a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8388608\,A^4\,a^{55}\,b^5\,d^5-923009024\,A^4\,a^{53}\,b^7\,d^5-4917821440\,A^4\,a^{51}\,b^9\,d^5+10492051456\,A^4\,a^{49}\,b^{11}\,d^5+170768990208\,A^4\,a^{47}\,b^{13}\,d^5+726513221632\,A^4\,a^{45}\,b^{15}\,d^5+1807474491392\,A^4\,a^{43}\,b^{17}\,d^5+3053967114240\,A^4\,a^{41}\,b^{19}\,d^5+3717287903232\,A^4\,a^{39}\,b^{21}\,d^5+3345249468416\,A^4\,a^{37}\,b^{23}\,d^5+2240523796480\,A^4\,a^{35}\,b^{25}\,d^5+1104303620096\,A^4\,a^{33}\,b^{27}\,d^5+385487994880\,A^4\,a^{31}\,b^{29}\,d^5+85774565376\,A^4\,a^{29}\,b^{31}\,d^5+7610564608\,A^4\,a^{27}\,b^{33}\,d^5-1671430144\,A^4\,a^{25}\,b^{35}\,d^5-597688320\,A^4\,a^{23}\,b^{37}\,d^5-58982400\,A^4\,a^{21}\,b^{39}\,d^5\right)}{64}-\frac{\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16777216\,A^2\,a^{64}\,b^2\,d^7+167772160\,A^2\,a^{62}\,b^4\,d^7+16777216\,A^2\,a^{60}\,b^6\,d^7+1612709888\,A^2\,a^{58}\,b^8\,d^7+86608183296\,A^2\,a^{56}\,b^{10}\,d^7+805425905664\,A^2\,a^{54}\,b^{12}\,d^7+4030457708544\,A^2\,a^{52}\,b^{14}\,d^7+13411815522304\,A^2\,a^{50}\,b^{16}\,d^7+32432589897728\,A^2\,a^{48}\,b^{18}\,d^7+59767095558144\,A^2\,a^{46}\,b^{20}\,d^7+86342935511040\,A^2\,a^{44}\,b^{22}\,d^7+99508717355008\,A^2\,a^{42}\,b^{24}\,d^7+92434029608960\,A^2\,a^{40}\,b^{26}\,d^7+69534945902592\,A^2\,a^{38}\,b^{28}\,d^7+42351565209600\,A^2\,a^{36}\,b^{30}\,d^7+20769933361152\,A^2\,a^{34}\,b^{32}\,d^7+8104469069824\,A^2\,a^{32}\,b^{34}\,d^7+2464648527872\,A^2\,a^{30}\,b^{36}\,d^7+564502986752\,A^2\,a^{28}\,b^{38}\,d^7+91857354752\,A^2\,a^{26}\,b^{40}\,d^7+9500098560\,A^2\,a^{24}\,b^{42}\,d^7+471859200\,A^2\,a^{22}\,b^{44}\,d^7\right)}{64}-\frac{\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,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)}{4096\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}+3932160\,A\,a^{24}\,b^{45}\,d^8+78905344\,A\,a^{26}\,b^{43}\,d^8+755761152\,A\,a^{28}\,b^{41}\,d^8+4590927872\,A\,a^{30}\,b^{39}\,d^8+19819659264\,A\,a^{32}\,b^{37}\,d^8+64573931520\,A\,a^{34}\,b^{35}\,d^8+164549885952\,A\,a^{36}\,b^{33}\,d^8+335356624896\,A\,a^{38}\,b^{31}\,d^8+554212786176\,A\,a^{40}\,b^{29}\,d^8+748389138432\,A\,a^{42}\,b^{27}\,d^8+827874344960\,A\,a^{44}\,b^{25}\,d^8+748389138432\,A\,a^{46}\,b^{23}\,d^8+548285710336\,A\,a^{48}\,b^{21}\,d^8+320115572736\,A\,a^{50}\,b^{19}\,d^8+144228483072\,A\,a^{52}\,b^{17}\,d^8+46792704000\,A\,a^{54}\,b^{15}\,d^8+8837136384\,A\,a^{56}\,b^{13}\,d^8-290193408\,A\,a^{58}\,b^{11}\,d^8-785645568\,A\,a^{60}\,b^9\,d^8-251396096\,A\,a^{62}\,b^7\,d^8-39321600\,A\,a^{64}\,b^5\,d^8-2621440\,A\,a^{66}\,b^3\,d^8\right)}{64\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}}{64\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}+1843200\,A^3\,a^{21}\,b^{42}\,d^6+13148160\,A^3\,a^{23}\,b^{40}\,d^6-59834368\,A^3\,a^{25}\,b^{38}\,d^6-1219821568\,A^3\,a^{27}\,b^{36}\,d^6-7772471296\,A^3\,a^{29}\,b^{34}\,d^6-29685874688\,A^3\,a^{31}\,b^{32}\,d^6-77698367488\,A^3\,a^{33}\,b^{30}\,d^6-146424922112\,A^3\,a^{35}\,b^{28}\,d^6-201417506816\,A^3\,a^{37}\,b^{26}\,d^6-198845153280\,A^3\,a^{39}\,b^{24}\,d^6-130733768704\,A^3\,a^{41}\,b^{22}\,d^6-40588476416\,A^3\,a^{43}\,b^{20}\,d^6+18309939200\,A^3\,a^{45}\,b^{18}\,d^6+31045025792\,A^3\,a^{47}\,b^{16}\,d^6+19337248768\,A^3\,a^{49}\,b^{14}\,d^6+7023558656\,A^3\,a^{51}\,b^{12}\,d^6+1523064832\,A^3\,a^{53}\,b^{10}\,d^6+186425344\,A^3\,a^{55}\,b^8\,d^6+15728640\,A^3\,a^{57}\,b^6\,d^6+2097152\,A^3\,a^{59}\,b^4\,d^6+131072\,A^3\,a^{61}\,b^2\,d^6\right)}{64\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\right)\,\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}}{a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2}+58982400\,A^5\,a^{22}\,b^{35}\,d^4+920125440\,A^5\,a^{24}\,b^{33}\,d^4+6879444992\,A^5\,a^{26}\,b^{31}\,d^4+32454475776\,A^5\,a^{28}\,b^{29}\,d^4+107338792960\,A^5\,a^{30}\,b^{27}\,d^4+262062735360\,A^5\,a^{32}\,b^{25}\,d^4+485059461120\,A^5\,a^{34}\,b^{23}\,d^4+688908140544\,A^5\,a^{36}\,b^{21}\,d^4+751987064832\,A^5\,a^{38}\,b^{19}\,d^4+626086379520\,A^5\,a^{40}\,b^{17}\,d^4+390506741760\,A^5\,a^{42}\,b^{15}\,d^4+176637870080\,A^5\,a^{44}\,b^{13}\,d^4+54704996352\,A^5\,a^{46}\,b^{11}\,d^4+10374086656\,A^5\,a^{48}\,b^9\,d^4+908328960\,A^5\,a^{50}\,b^7\,d^4}\right)\,\sqrt{-64\,\left(3969\,A^2\,a^8\,b^5+5796\,A^2\,a^6\,b^7+4006\,A^2\,a^4\,b^9+1380\,A^2\,a^2\,b^{11}+225\,A^2\,b^{13}\right)\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}\,1{}\mathrm{i}}{32\,\left(a^{19}\,d^2+6\,a^{17}\,b^2\,d^2+15\,a^{15}\,b^4\,d^2+20\,a^{13}\,b^6\,d^2+15\,a^{11}\,b^8\,d^2+6\,a^9\,b^{10}\,d^2+a^7\,b^{12}\,d^2\right)}","Not used",1,"((B*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*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)) - ((2*A)/a + (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)) + (A*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)) + (log(29491200*A^5*a^22*b^35*d^4 - ((tan(c + d*x)^(1/2)*(7610564608*A^4*a^27*b^33*d^5 - 597688320*A^4*a^23*b^37*d^5 - 1671430144*A^4*a^25*b^35*d^5 - 58982400*A^4*a^21*b^39*d^5 + 85774565376*A^4*a^29*b^31*d^5 + 385487994880*A^4*a^31*b^29*d^5 + 1104303620096*A^4*a^33*b^27*d^5 + 2240523796480*A^4*a^35*b^25*d^5 + 3345249468416*A^4*a^37*b^23*d^5 + 3717287903232*A^4*a^39*b^21*d^5 + 3053967114240*A^4*a^41*b^19*d^5 + 1807474491392*A^4*a^43*b^17*d^5 + 726513221632*A^4*a^45*b^15*d^5 + 170768990208*A^4*a^47*b^13*d^5 + 10492051456*A^4*a^49*b^11*d^5 - 4917821440*A^4*a^51*b^9*d^5 - 923009024*A^4*a^53*b^7*d^5 + 8388608*A^4*a^55*b^5*d^5) + ((((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2)*(((((((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2)*((tan(c + d*x)^(1/2)*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(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))/4 + 251658240*A*a^24*b^45*d^8 + 5049942016*A*a^26*b^43*d^8 + 48368713728*A*a^28*b^41*d^8 + 293819383808*A*a^30*b^39*d^8 + 1268458192896*A*a^32*b^37*d^8 + 4132731617280*A*a^34*b^35*d^8 + 10531192700928*A*a^36*b^33*d^8 + 21462823993344*A*a^38*b^31*d^8 + 35469618315264*A*a^40*b^29*d^8 + 47896904859648*A*a^42*b^27*d^8 + 52983958077440*A*a^44*b^25*d^8 + 47896904859648*A*a^46*b^23*d^8 + 35090285461504*A*a^48*b^21*d^8 + 20487396655104*A*a^50*b^19*d^8 + 9230622916608*A*a^52*b^17*d^8 + 2994733056000*A*a^54*b^15*d^8 + 565576728576*A*a^56*b^13*d^8 - 18572378112*A*a^58*b^11*d^8 - 50281316352*A*a^60*b^9*d^8 - 16089350144*A*a^62*b^7*d^8 - 2516582400*A*a^64*b^5*d^8 - 167772160*A*a^66*b^3*d^8))/4 - tan(c + d*x)^(1/2)*(471859200*A^2*a^22*b^44*d^7 + 9500098560*A^2*a^24*b^42*d^7 + 91857354752*A^2*a^26*b^40*d^7 + 564502986752*A^2*a^28*b^38*d^7 + 2464648527872*A^2*a^30*b^36*d^7 + 8104469069824*A^2*a^32*b^34*d^7 + 20769933361152*A^2*a^34*b^32*d^7 + 42351565209600*A^2*a^36*b^30*d^7 + 69534945902592*A^2*a^38*b^28*d^7 + 92434029608960*A^2*a^40*b^26*d^7 + 99508717355008*A^2*a^42*b^24*d^7 + 86342935511040*A^2*a^44*b^22*d^7 + 59767095558144*A^2*a^46*b^20*d^7 + 32432589897728*A^2*a^48*b^18*d^7 + 13411815522304*A^2*a^50*b^16*d^7 + 4030457708544*A^2*a^52*b^14*d^7 + 805425905664*A^2*a^54*b^12*d^7 + 86608183296*A^2*a^56*b^10*d^7 + 1612709888*A^2*a^58*b^8*d^7 + 16777216*A^2*a^60*b^6*d^7 + 167772160*A^2*a^62*b^4*d^7 + 16777216*A^2*a^64*b^2*d^7))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - 117964800*A^3*a^21*b^42*d^6 - 841482240*A^3*a^23*b^40*d^6 + 3829399552*A^3*a^25*b^38*d^6 + 78068580352*A^3*a^27*b^36*d^6 + 497438162944*A^3*a^29*b^34*d^6 + 1899895980032*A^3*a^31*b^32*d^6 + 4972695519232*A^3*a^33*b^30*d^6 + 9371195015168*A^3*a^35*b^28*d^6 + 12890720436224*A^3*a^37*b^26*d^6 + 12726089809920*A^3*a^39*b^24*d^6 + 8366961197056*A^3*a^41*b^22*d^6 + 2597662490624*A^3*a^43*b^20*d^6 - 1171836108800*A^3*a^45*b^18*d^6 - 1986881650688*A^3*a^47*b^16*d^6 - 1237583921152*A^3*a^49*b^14*d^6 - 449507753984*A^3*a^51*b^12*d^6 - 97476149248*A^3*a^53*b^10*d^6 - 11931222016*A^3*a^55*b^8*d^6 - 1006632960*A^3*a^57*b^6*d^6 - 134217728*A^3*a^59*b^4*d^6 - 8388608*A^3*a^61*b^2*d^6))/4)*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + 460062720*A^5*a^24*b^33*d^4 + 3439722496*A^5*a^26*b^31*d^4 + 16227237888*A^5*a^28*b^29*d^4 + 53669396480*A^5*a^30*b^27*d^4 + 131031367680*A^5*a^32*b^25*d^4 + 242529730560*A^5*a^34*b^23*d^4 + 344454070272*A^5*a^36*b^21*d^4 + 375993532416*A^5*a^38*b^19*d^4 + 313043189760*A^5*a^40*b^17*d^4 + 195253370880*A^5*a^42*b^15*d^4 + 88318935040*A^5*a^44*b^13*d^4 + 27352498176*A^5*a^46*b^11*d^4 + 5187043328*A^5*a^48*b^9*d^4 + 454164480*A^5*a^50*b^7*d^4)*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log(29491200*A^5*a^22*b^35*d^4 - ((tan(c + d*x)^(1/2)*(7610564608*A^4*a^27*b^33*d^5 - 597688320*A^4*a^23*b^37*d^5 - 1671430144*A^4*a^25*b^35*d^5 - 58982400*A^4*a^21*b^39*d^5 + 85774565376*A^4*a^29*b^31*d^5 + 385487994880*A^4*a^31*b^29*d^5 + 1104303620096*A^4*a^33*b^27*d^5 + 2240523796480*A^4*a^35*b^25*d^5 + 3345249468416*A^4*a^37*b^23*d^5 + 3717287903232*A^4*a^39*b^21*d^5 + 3053967114240*A^4*a^41*b^19*d^5 + 1807474491392*A^4*a^43*b^17*d^5 + 726513221632*A^4*a^45*b^15*d^5 + 170768990208*A^4*a^47*b^13*d^5 + 10492051456*A^4*a^49*b^11*d^5 - 4917821440*A^4*a^51*b^9*d^5 - 923009024*A^4*a^53*b^7*d^5 + 8388608*A^4*a^55*b^5*d^5) + ((-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2)*(((((-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2)*((tan(c + d*x)^(1/2)*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(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))/4 + 251658240*A*a^24*b^45*d^8 + 5049942016*A*a^26*b^43*d^8 + 48368713728*A*a^28*b^41*d^8 + 293819383808*A*a^30*b^39*d^8 + 1268458192896*A*a^32*b^37*d^8 + 4132731617280*A*a^34*b^35*d^8 + 10531192700928*A*a^36*b^33*d^8 + 21462823993344*A*a^38*b^31*d^8 + 35469618315264*A*a^40*b^29*d^8 + 47896904859648*A*a^42*b^27*d^8 + 52983958077440*A*a^44*b^25*d^8 + 47896904859648*A*a^46*b^23*d^8 + 35090285461504*A*a^48*b^21*d^8 + 20487396655104*A*a^50*b^19*d^8 + 9230622916608*A*a^52*b^17*d^8 + 2994733056000*A*a^54*b^15*d^8 + 565576728576*A*a^56*b^13*d^8 - 18572378112*A*a^58*b^11*d^8 - 50281316352*A*a^60*b^9*d^8 - 16089350144*A*a^62*b^7*d^8 - 2516582400*A*a^64*b^5*d^8 - 167772160*A*a^66*b^3*d^8))/4 - tan(c + d*x)^(1/2)*(471859200*A^2*a^22*b^44*d^7 + 9500098560*A^2*a^24*b^42*d^7 + 91857354752*A^2*a^26*b^40*d^7 + 564502986752*A^2*a^28*b^38*d^7 + 2464648527872*A^2*a^30*b^36*d^7 + 8104469069824*A^2*a^32*b^34*d^7 + 20769933361152*A^2*a^34*b^32*d^7 + 42351565209600*A^2*a^36*b^30*d^7 + 69534945902592*A^2*a^38*b^28*d^7 + 92434029608960*A^2*a^40*b^26*d^7 + 99508717355008*A^2*a^42*b^24*d^7 + 86342935511040*A^2*a^44*b^22*d^7 + 59767095558144*A^2*a^46*b^20*d^7 + 32432589897728*A^2*a^48*b^18*d^7 + 13411815522304*A^2*a^50*b^16*d^7 + 4030457708544*A^2*a^52*b^14*d^7 + 805425905664*A^2*a^54*b^12*d^7 + 86608183296*A^2*a^56*b^10*d^7 + 1612709888*A^2*a^58*b^8*d^7 + 16777216*A^2*a^60*b^6*d^7 + 167772160*A^2*a^62*b^4*d^7 + 16777216*A^2*a^64*b^2*d^7))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - 117964800*A^3*a^21*b^42*d^6 - 841482240*A^3*a^23*b^40*d^6 + 3829399552*A^3*a^25*b^38*d^6 + 78068580352*A^3*a^27*b^36*d^6 + 497438162944*A^3*a^29*b^34*d^6 + 1899895980032*A^3*a^31*b^32*d^6 + 4972695519232*A^3*a^33*b^30*d^6 + 9371195015168*A^3*a^35*b^28*d^6 + 12890720436224*A^3*a^37*b^26*d^6 + 12726089809920*A^3*a^39*b^24*d^6 + 8366961197056*A^3*a^41*b^22*d^6 + 2597662490624*A^3*a^43*b^20*d^6 - 1171836108800*A^3*a^45*b^18*d^6 - 1986881650688*A^3*a^47*b^16*d^6 - 1237583921152*A^3*a^49*b^14*d^6 - 449507753984*A^3*a^51*b^12*d^6 - 97476149248*A^3*a^53*b^10*d^6 - 11931222016*A^3*a^55*b^8*d^6 - 1006632960*A^3*a^57*b^6*d^6 - 134217728*A^3*a^59*b^4*d^6 - 8388608*A^3*a^61*b^2*d^6))/4)*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + 460062720*A^5*a^24*b^33*d^4 + 3439722496*A^5*a^26*b^31*d^4 + 16227237888*A^5*a^28*b^29*d^4 + 53669396480*A^5*a^30*b^27*d^4 + 131031367680*A^5*a^32*b^25*d^4 + 242529730560*A^5*a^34*b^23*d^4 + 344454070272*A^5*a^36*b^21*d^4 + 375993532416*A^5*a^38*b^19*d^4 + 313043189760*A^5*a^40*b^17*d^4 + 195253370880*A^5*a^42*b^15*d^4 + 88318935040*A^5*a^44*b^13*d^4 + 27352498176*A^5*a^46*b^11*d^4 + 5187043328*A^5*a^48*b^9*d^4 + 454164480*A^5*a^50*b^7*d^4)*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((tan(c + d*x)^(1/2)*(7610564608*A^4*a^27*b^33*d^5 - 597688320*A^4*a^23*b^37*d^5 - 1671430144*A^4*a^25*b^35*d^5 - 58982400*A^4*a^21*b^39*d^5 + 85774565376*A^4*a^29*b^31*d^5 + 385487994880*A^4*a^31*b^29*d^5 + 1104303620096*A^4*a^33*b^27*d^5 + 2240523796480*A^4*a^35*b^25*d^5 + 3345249468416*A^4*a^37*b^23*d^5 + 3717287903232*A^4*a^39*b^21*d^5 + 3053967114240*A^4*a^41*b^19*d^5 + 1807474491392*A^4*a^43*b^17*d^5 + 726513221632*A^4*a^45*b^15*d^5 + 170768990208*A^4*a^47*b^13*d^5 + 10492051456*A^4*a^49*b^11*d^5 - 4917821440*A^4*a^51*b^9*d^5 - 923009024*A^4*a^53*b^7*d^5 + 8388608*A^4*a^55*b^5*d^5) - (((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2)*(((((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2)*(251658240*A*a^24*b^45*d^8 - tan(c + d*x)^(1/2)*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(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) + 5049942016*A*a^26*b^43*d^8 + 48368713728*A*a^28*b^41*d^8 + 293819383808*A*a^30*b^39*d^8 + 1268458192896*A*a^32*b^37*d^8 + 4132731617280*A*a^34*b^35*d^8 + 10531192700928*A*a^36*b^33*d^8 + 21462823993344*A*a^38*b^31*d^8 + 35469618315264*A*a^40*b^29*d^8 + 47896904859648*A*a^42*b^27*d^8 + 52983958077440*A*a^44*b^25*d^8 + 47896904859648*A*a^46*b^23*d^8 + 35090285461504*A*a^48*b^21*d^8 + 20487396655104*A*a^50*b^19*d^8 + 9230622916608*A*a^52*b^17*d^8 + 2994733056000*A*a^54*b^15*d^8 + 565576728576*A*a^56*b^13*d^8 - 18572378112*A*a^58*b^11*d^8 - 50281316352*A*a^60*b^9*d^8 - 16089350144*A*a^62*b^7*d^8 - 2516582400*A*a^64*b^5*d^8 - 167772160*A*a^66*b^3*d^8) + tan(c + d*x)^(1/2)*(471859200*A^2*a^22*b^44*d^7 + 9500098560*A^2*a^24*b^42*d^7 + 91857354752*A^2*a^26*b^40*d^7 + 564502986752*A^2*a^28*b^38*d^7 + 2464648527872*A^2*a^30*b^36*d^7 + 8104469069824*A^2*a^32*b^34*d^7 + 20769933361152*A^2*a^34*b^32*d^7 + 42351565209600*A^2*a^36*b^30*d^7 + 69534945902592*A^2*a^38*b^28*d^7 + 92434029608960*A^2*a^40*b^26*d^7 + 99508717355008*A^2*a^42*b^24*d^7 + 86342935511040*A^2*a^44*b^22*d^7 + 59767095558144*A^2*a^46*b^20*d^7 + 32432589897728*A^2*a^48*b^18*d^7 + 13411815522304*A^2*a^50*b^16*d^7 + 4030457708544*A^2*a^52*b^14*d^7 + 805425905664*A^2*a^54*b^12*d^7 + 86608183296*A^2*a^56*b^10*d^7 + 1612709888*A^2*a^58*b^8*d^7 + 16777216*A^2*a^60*b^6*d^7 + 167772160*A^2*a^62*b^4*d^7 + 16777216*A^2*a^64*b^2*d^7))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - 117964800*A^3*a^21*b^42*d^6 - 841482240*A^3*a^23*b^40*d^6 + 3829399552*A^3*a^25*b^38*d^6 + 78068580352*A^3*a^27*b^36*d^6 + 497438162944*A^3*a^29*b^34*d^6 + 1899895980032*A^3*a^31*b^32*d^6 + 4972695519232*A^3*a^33*b^30*d^6 + 9371195015168*A^3*a^35*b^28*d^6 + 12890720436224*A^3*a^37*b^26*d^6 + 12726089809920*A^3*a^39*b^24*d^6 + 8366961197056*A^3*a^41*b^22*d^6 + 2597662490624*A^3*a^43*b^20*d^6 - 1171836108800*A^3*a^45*b^18*d^6 - 1986881650688*A^3*a^47*b^16*d^6 - 1237583921152*A^3*a^49*b^14*d^6 - 449507753984*A^3*a^51*b^12*d^6 - 97476149248*A^3*a^53*b^10*d^6 - 11931222016*A^3*a^55*b^8*d^6 - 1006632960*A^3*a^57*b^6*d^6 - 134217728*A^3*a^59*b^4*d^6 - 8388608*A^3*a^61*b^2*d^6))*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + 29491200*A^5*a^22*b^35*d^4 + 460062720*A^5*a^24*b^33*d^4 + 3439722496*A^5*a^26*b^31*d^4 + 16227237888*A^5*a^28*b^29*d^4 + 53669396480*A^5*a^30*b^27*d^4 + 131031367680*A^5*a^32*b^25*d^4 + 242529730560*A^5*a^34*b^23*d^4 + 344454070272*A^5*a^36*b^21*d^4 + 375993532416*A^5*a^38*b^19*d^4 + 313043189760*A^5*a^40*b^17*d^4 + 195253370880*A^5*a^42*b^15*d^4 + 88318935040*A^5*a^44*b^13*d^4 + 27352498176*A^5*a^46*b^11*d^4 + 5187043328*A^5*a^48*b^9*d^4 + 454164480*A^5*a^50*b^7*d^4)*(((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) + 80*A^2*a^3*b^3*d^2 - 24*A^2*a*b^5*d^2 - 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((tan(c + d*x)^(1/2)*(7610564608*A^4*a^27*b^33*d^5 - 597688320*A^4*a^23*b^37*d^5 - 1671430144*A^4*a^25*b^35*d^5 - 58982400*A^4*a^21*b^39*d^5 + 85774565376*A^4*a^29*b^31*d^5 + 385487994880*A^4*a^31*b^29*d^5 + 1104303620096*A^4*a^33*b^27*d^5 + 2240523796480*A^4*a^35*b^25*d^5 + 3345249468416*A^4*a^37*b^23*d^5 + 3717287903232*A^4*a^39*b^21*d^5 + 3053967114240*A^4*a^41*b^19*d^5 + 1807474491392*A^4*a^43*b^17*d^5 + 726513221632*A^4*a^45*b^15*d^5 + 170768990208*A^4*a^47*b^13*d^5 + 10492051456*A^4*a^49*b^11*d^5 - 4917821440*A^4*a^51*b^9*d^5 - 923009024*A^4*a^53*b^7*d^5 + 8388608*A^4*a^55*b^5*d^5) - (-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2)*(((-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2)*(251658240*A*a^24*b^45*d^8 - tan(c + d*x)^(1/2)*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(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) + 5049942016*A*a^26*b^43*d^8 + 48368713728*A*a^28*b^41*d^8 + 293819383808*A*a^30*b^39*d^8 + 1268458192896*A*a^32*b^37*d^8 + 4132731617280*A*a^34*b^35*d^8 + 10531192700928*A*a^36*b^33*d^8 + 21462823993344*A*a^38*b^31*d^8 + 35469618315264*A*a^40*b^29*d^8 + 47896904859648*A*a^42*b^27*d^8 + 52983958077440*A*a^44*b^25*d^8 + 47896904859648*A*a^46*b^23*d^8 + 35090285461504*A*a^48*b^21*d^8 + 20487396655104*A*a^50*b^19*d^8 + 9230622916608*A*a^52*b^17*d^8 + 2994733056000*A*a^54*b^15*d^8 + 565576728576*A*a^56*b^13*d^8 - 18572378112*A*a^58*b^11*d^8 - 50281316352*A*a^60*b^9*d^8 - 16089350144*A*a^62*b^7*d^8 - 2516582400*A*a^64*b^5*d^8 - 167772160*A*a^66*b^3*d^8) + tan(c + d*x)^(1/2)*(471859200*A^2*a^22*b^44*d^7 + 9500098560*A^2*a^24*b^42*d^7 + 91857354752*A^2*a^26*b^40*d^7 + 564502986752*A^2*a^28*b^38*d^7 + 2464648527872*A^2*a^30*b^36*d^7 + 8104469069824*A^2*a^32*b^34*d^7 + 20769933361152*A^2*a^34*b^32*d^7 + 42351565209600*A^2*a^36*b^30*d^7 + 69534945902592*A^2*a^38*b^28*d^7 + 92434029608960*A^2*a^40*b^26*d^7 + 99508717355008*A^2*a^42*b^24*d^7 + 86342935511040*A^2*a^44*b^22*d^7 + 59767095558144*A^2*a^46*b^20*d^7 + 32432589897728*A^2*a^48*b^18*d^7 + 13411815522304*A^2*a^50*b^16*d^7 + 4030457708544*A^2*a^52*b^14*d^7 + 805425905664*A^2*a^54*b^12*d^7 + 86608183296*A^2*a^56*b^10*d^7 + 1612709888*A^2*a^58*b^8*d^7 + 16777216*A^2*a^60*b^6*d^7 + 167772160*A^2*a^62*b^4*d^7 + 16777216*A^2*a^64*b^2*d^7))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - 117964800*A^3*a^21*b^42*d^6 - 841482240*A^3*a^23*b^40*d^6 + 3829399552*A^3*a^25*b^38*d^6 + 78068580352*A^3*a^27*b^36*d^6 + 497438162944*A^3*a^29*b^34*d^6 + 1899895980032*A^3*a^31*b^32*d^6 + 4972695519232*A^3*a^33*b^30*d^6 + 9371195015168*A^3*a^35*b^28*d^6 + 12890720436224*A^3*a^37*b^26*d^6 + 12726089809920*A^3*a^39*b^24*d^6 + 8366961197056*A^3*a^41*b^22*d^6 + 2597662490624*A^3*a^43*b^20*d^6 - 1171836108800*A^3*a^45*b^18*d^6 - 1986881650688*A^3*a^47*b^16*d^6 - 1237583921152*A^3*a^49*b^14*d^6 - 449507753984*A^3*a^51*b^12*d^6 - 97476149248*A^3*a^53*b^10*d^6 - 11931222016*A^3*a^55*b^8*d^6 - 1006632960*A^3*a^57*b^6*d^6 - 134217728*A^3*a^59*b^4*d^6 - 8388608*A^3*a^61*b^2*d^6))*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + 29491200*A^5*a^22*b^35*d^4 + 460062720*A^5*a^24*b^33*d^4 + 3439722496*A^5*a^26*b^31*d^4 + 16227237888*A^5*a^28*b^29*d^4 + 53669396480*A^5*a^30*b^27*d^4 + 131031367680*A^5*a^32*b^25*d^4 + 242529730560*A^5*a^34*b^23*d^4 + 344454070272*A^5*a^36*b^21*d^4 + 375993532416*A^5*a^38*b^19*d^4 + 313043189760*A^5*a^40*b^17*d^4 + 195253370880*A^5*a^42*b^15*d^4 + 88318935040*A^5*a^44*b^13*d^4 + 27352498176*A^5*a^46*b^11*d^4 + 5187043328*A^5*a^48*b^9*d^4 + 454164480*A^5*a^50*b^7*d^4)*(-((480*A^4*a^2*b^10*d^4 - 16*A^4*b^12*d^4 - 16*A^4*a^12*d^4 - 4080*A^4*a^4*b^8*d^4 + 7232*A^4*a^6*b^6*d^4 - 4080*A^4*a^8*b^4*d^4 + 480*A^4*a^10*b^2*d^4)^(1/2) - 80*A^2*a^3*b^3*d^2 + 24*A^2*a*b^5*d^2 + 24*A^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) + (log((((((((((64*B*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 + (log((((((((((64*B*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (8*B^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(a^12*d^4 + b^12*d^4 + 6*a^2*b^10*d^4 + 15*a^4*b^8*d^4 + 20*a^6*b^6*d^4 + 15*a^8*b^4*d^4 + 6*a^10*b^2*d^4))^(1/2))/4 - log((((((((((64*B*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*((4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) - 80*B^2*a^3*b^3*d^2 + 24*B^2*a*b^5*d^2 + 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - log((((((((((64*B*b^2*(3*b^6 - 2*a^6 + 3*a^2*b^4 + 22*a^4*b^2))/(a^2*d) - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (8*B^2*b^2*tan(c + d*x)^(1/2)*(9*b^12 - 8*a^12 + 36*a^2*b^10 + 430*a^4*b^8 - 188*a^6*b^6 + 1497*a^8*b^4 + 32*a^10*b^2))/(a^3*d^2*(a^2 + b^2)^4))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (2*B^3*b^3*(45*b^12 - 16*a^12 + 333*a^2*b^10 + 146*a^4*b^8 + 1178*a^6*b^6 - 9791*a^8*b^4 + 1161*a^10*b^2))/(a^3*d^3*(a^2 + b^2)^6))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 - (B^4*b^5*tan(c + d*x)^(1/2)*(18*a^2*b^10 - 9*b^12 - 1257*a^12 - 71*a^4*b^8 + 892*a^6*b^6 + 857*a^8*b^4 + 6802*a^10*b^2))/(a^4*d^4*(a^2 + b^2)^8))*(-(4*(-B^4*d^4*(a^6 - b^6 + 15*a^2*b^4 - 15*a^4*b^2)^2)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^6))^(1/2))/4 + (B^5*b^6*(1505*a^8 + 9*b^8 + 60*a^2*b^6 + 318*a^4*b^4 + 748*a^6*b^2))/(2*a^4*d^5*(a^2 + b^2)^8))*(-((480*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 16*B^4*a^12*d^4 - 4080*B^4*a^4*b^8*d^4 + 7232*B^4*a^6*b^6*d^4 - 4080*B^4*a^8*b^4*d^4 + 480*B^4*a^10*b^2*d^4)^(1/2) + 80*B^2*a^3*b^3*d^2 - 24*B^2*a*b^5*d^2 - 24*B^2*a^5*b*d^2)/(16*a^12*d^4 + 16*b^12*d^4 + 96*a^2*b^10*d^4 + 240*a^4*b^8*d^4 + 320*a^6*b^6*d^4 + 240*a^8*b^4*d^4 + 96*a^10*b^2*d^4))^(1/2) - (atan(((((((846*B^3*a^3*b^17*d^2 + 1714*B^3*a^5*b^15*d^2 + 3606*B^3*a^7*b^13*d^2 - 14578*B^3*a^9*b^11*d^2 - 34486*B^3*a^11*b^9*d^2 - 14970*B^3*a^13*b^7*d^2 + 2258*B^3*a^15*b^5*d^2 - 32*B^3*a^17*b^3*d^2 + 90*B^3*a*b^19*d^2)/(64*(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*B*a^2*b^24*d^4 + 1728*B*a^4*b^22*d^4 + 8320*B*a^6*b^20*d^4 + 27264*B*a^8*b^18*d^4 + 62592*B*a^10*b^16*d^4 + 99456*B*a^12*b^14*d^4 + 107520*B*a^14*b^12*d^4 + 76800*B*a^16*b^10*d^4 + 33984*B*a^18*b^8*d^4 + 7872*B*a^20*b^6*d^4 + 384*B*a^22*b^4*d^4 - 128*B*a^24*b^2*d^4)/(64*(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)*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) + (tan(c + d*x)^(1/2)*(576*B^2*a^3*b^20*d^2 + 5024*B^2*a^5*b^18*d^2 + 14272*B^2*a^7*b^16*d^2 + 27824*B^2*a^9*b^14*d^2 + 53184*B^2*a^11*b^12*d^2 + 70240*B^2*a^13*b^10*d^2 + 47680*B^2*a^15*b^8*d^2 + 12616*B^2*a^17*b^6*d^2 - 64*B^2*a^21*b^2*d^2 + 72*B^2*a*b^22*d^2))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) - (tan(c + d*x)^(1/2)*(18*B^4*a^2*b^15 - 9*B^4*b^17 - 71*B^4*a^4*b^13 + 892*B^4*a^6*b^11 + 857*B^4*a^8*b^9 + 6802*B^4*a^10*b^7 - 1257*B^4*a^12*b^5))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2)*1i)/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2) - (((((846*B^3*a^3*b^17*d^2 + 1714*B^3*a^5*b^15*d^2 + 3606*B^3*a^7*b^13*d^2 - 14578*B^3*a^9*b^11*d^2 - 34486*B^3*a^11*b^9*d^2 - 14970*B^3*a^13*b^7*d^2 + 2258*B^3*a^15*b^5*d^2 - 32*B^3*a^17*b^3*d^2 + 90*B^3*a*b^19*d^2)/(64*(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*B*a^2*b^24*d^4 + 1728*B*a^4*b^22*d^4 + 8320*B*a^6*b^20*d^4 + 27264*B*a^8*b^18*d^4 + 62592*B*a^10*b^16*d^4 + 99456*B*a^12*b^14*d^4 + 107520*B*a^14*b^12*d^4 + 76800*B*a^16*b^10*d^4 + 33984*B*a^18*b^8*d^4 + 7872*B*a^20*b^6*d^4 + 384*B*a^22*b^4*d^4 - 128*B*a^24*b^2*d^4)/(64*(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)*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) - (tan(c + d*x)^(1/2)*(576*B^2*a^3*b^20*d^2 + 5024*B^2*a^5*b^18*d^2 + 14272*B^2*a^7*b^16*d^2 + 27824*B^2*a^9*b^14*d^2 + 53184*B^2*a^11*b^12*d^2 + 70240*B^2*a^13*b^10*d^2 + 47680*B^2*a^15*b^8*d^2 + 12616*B^2*a^17*b^6*d^2 - 64*B^2*a^21*b^2*d^2 + 72*B^2*a*b^22*d^2))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) + (tan(c + d*x)^(1/2)*(18*B^4*a^2*b^15 - 9*B^4*b^17 - 71*B^4*a^4*b^13 + 892*B^4*a^6*b^11 + 857*B^4*a^8*b^9 + 6802*B^4*a^10*b^7 - 1257*B^4*a^12*b^5))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2)*1i)/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))/((((((846*B^3*a^3*b^17*d^2 + 1714*B^3*a^5*b^15*d^2 + 3606*B^3*a^7*b^13*d^2 - 14578*B^3*a^9*b^11*d^2 - 34486*B^3*a^11*b^9*d^2 - 14970*B^3*a^13*b^7*d^2 + 2258*B^3*a^15*b^5*d^2 - 32*B^3*a^17*b^3*d^2 + 90*B^3*a*b^19*d^2)/(64*(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*B*a^2*b^24*d^4 + 1728*B*a^4*b^22*d^4 + 8320*B*a^6*b^20*d^4 + 27264*B*a^8*b^18*d^4 + 62592*B*a^10*b^16*d^4 + 99456*B*a^12*b^14*d^4 + 107520*B*a^14*b^12*d^4 + 76800*B*a^16*b^10*d^4 + 33984*B*a^18*b^8*d^4 + 7872*B*a^20*b^6*d^4 + 384*B*a^22*b^4*d^4 - 128*B*a^24*b^2*d^4)/(64*(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)*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) + (tan(c + d*x)^(1/2)*(576*B^2*a^3*b^20*d^2 + 5024*B^2*a^5*b^18*d^2 + 14272*B^2*a^7*b^16*d^2 + 27824*B^2*a^9*b^14*d^2 + 53184*B^2*a^11*b^12*d^2 + 70240*B^2*a^13*b^10*d^2 + 47680*B^2*a^15*b^8*d^2 + 12616*B^2*a^17*b^6*d^2 - 64*B^2*a^21*b^2*d^2 + 72*B^2*a*b^22*d^2))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) - (tan(c + d*x)^(1/2)*(18*B^4*a^2*b^15 - 9*B^4*b^17 - 71*B^4*a^4*b^13 + 892*B^4*a^6*b^11 + 857*B^4*a^8*b^9 + 6802*B^4*a^10*b^7 - 1257*B^4*a^12*b^5))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2) - (9*B^5*b^14 + 60*B^5*a^2*b^12 + 318*B^5*a^4*b^10 + 748*B^5*a^6*b^8 + 1505*B^5*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) + (((((846*B^3*a^3*b^17*d^2 + 1714*B^3*a^5*b^15*d^2 + 3606*B^3*a^7*b^13*d^2 - 14578*B^3*a^9*b^11*d^2 - 34486*B^3*a^11*b^9*d^2 - 14970*B^3*a^13*b^7*d^2 + 2258*B^3*a^15*b^5*d^2 - 32*B^3*a^17*b^3*d^2 + 90*B^3*a*b^19*d^2)/(64*(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*B*a^2*b^24*d^4 + 1728*B*a^4*b^22*d^4 + 8320*B*a^6*b^20*d^4 + 27264*B*a^8*b^18*d^4 + 62592*B*a^10*b^16*d^4 + 99456*B*a^12*b^14*d^4 + 107520*B*a^14*b^12*d^4 + 76800*B*a^16*b^10*d^4 + 33984*B*a^18*b^8*d^4 + 7872*B*a^20*b^6*d^4 + 384*B*a^22*b^4*d^4 - 128*B*a^24*b^2*d^4)/(64*(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)*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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))/(4096*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) - (tan(c + d*x)^(1/2)*(576*B^2*a^3*b^20*d^2 + 5024*B^2*a^5*b^18*d^2 + 14272*B^2*a^7*b^16*d^2 + 27824*B^2*a^9*b^14*d^2 + 53184*B^2*a^11*b^12*d^2 + 70240*B^2*a^13*b^10*d^2 + 47680*B^2*a^15*b^8*d^2 + 12616*B^2*a^17*b^6*d^2 - 64*B^2*a^21*b^2*d^2 + 72*B^2*a*b^22*d^2))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(64*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) + (tan(c + d*x)^(1/2)*(18*B^4*a^2*b^15 - 9*B^4*b^17 - 71*B^4*a^4*b^13 + 892*B^4*a^6*b^11 + 857*B^4*a^8*b^9 + 6802*B^4*a^10*b^7 - 1257*B^4*a^12*b^5))/(64*(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)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2))/(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)))*(-64*(9*B^2*b^11 + 36*B^2*a^2*b^9 + 246*B^2*a^4*b^7 + 420*B^2*a^6*b^5 + 1225*B^2*a^8*b^3)*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2))^(1/2)*1i)/(32*(a^17*d^2 + a^5*b^12*d^2 + 6*a^7*b^10*d^2 + 15*a^9*b^8*d^2 + 20*a^11*b^6*d^2 + 15*a^13*b^4*d^2 + 6*a^15*b^2*d^2)) + (atan(((((tan(c + d*x)^(1/2)*(7610564608*A^4*a^27*b^33*d^5 - 597688320*A^4*a^23*b^37*d^5 - 1671430144*A^4*a^25*b^35*d^5 - 58982400*A^4*a^21*b^39*d^5 + 85774565376*A^4*a^29*b^31*d^5 + 385487994880*A^4*a^31*b^29*d^5 + 1104303620096*A^4*a^33*b^27*d^5 + 2240523796480*A^4*a^35*b^25*d^5 + 3345249468416*A^4*a^37*b^23*d^5 + 3717287903232*A^4*a^39*b^21*d^5 + 3053967114240*A^4*a^41*b^19*d^5 + 1807474491392*A^4*a^43*b^17*d^5 + 726513221632*A^4*a^45*b^15*d^5 + 170768990208*A^4*a^47*b^13*d^5 + 10492051456*A^4*a^49*b^11*d^5 - 4917821440*A^4*a^51*b^9*d^5 - 923009024*A^4*a^53*b^7*d^5 + 8388608*A^4*a^55*b^5*d^5))/64 - ((-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(471859200*A^2*a^22*b^44*d^7 + 9500098560*A^2*a^24*b^42*d^7 + 91857354752*A^2*a^26*b^40*d^7 + 564502986752*A^2*a^28*b^38*d^7 + 2464648527872*A^2*a^30*b^36*d^7 + 8104469069824*A^2*a^32*b^34*d^7 + 20769933361152*A^2*a^34*b^32*d^7 + 42351565209600*A^2*a^36*b^30*d^7 + 69534945902592*A^2*a^38*b^28*d^7 + 92434029608960*A^2*a^40*b^26*d^7 + 99508717355008*A^2*a^42*b^24*d^7 + 86342935511040*A^2*a^44*b^22*d^7 + 59767095558144*A^2*a^46*b^20*d^7 + 32432589897728*A^2*a^48*b^18*d^7 + 13411815522304*A^2*a^50*b^16*d^7 + 4030457708544*A^2*a^52*b^14*d^7 + 805425905664*A^2*a^54*b^12*d^7 + 86608183296*A^2*a^56*b^10*d^7 + 1612709888*A^2*a^58*b^8*d^7 + 16777216*A^2*a^60*b^6*d^7 + 167772160*A^2*a^62*b^4*d^7 + 16777216*A^2*a^64*b^2*d^7))/64 + ((-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2)*(3932160*A*a^24*b^45*d^8 - (tan(c + d*x)^(1/2)*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*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))/(4096*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)) + 78905344*A*a^26*b^43*d^8 + 755761152*A*a^28*b^41*d^8 + 4590927872*A*a^30*b^39*d^8 + 19819659264*A*a^32*b^37*d^8 + 64573931520*A*a^34*b^35*d^8 + 164549885952*A*a^36*b^33*d^8 + 335356624896*A*a^38*b^31*d^8 + 554212786176*A*a^40*b^29*d^8 + 748389138432*A*a^42*b^27*d^8 + 827874344960*A*a^44*b^25*d^8 + 748389138432*A*a^46*b^23*d^8 + 548285710336*A*a^48*b^21*d^8 + 320115572736*A*a^50*b^19*d^8 + 144228483072*A*a^52*b^17*d^8 + 46792704000*A*a^54*b^15*d^8 + 8837136384*A*a^56*b^13*d^8 - 290193408*A*a^58*b^11*d^8 - 785645568*A*a^60*b^9*d^8 - 251396096*A*a^62*b^7*d^8 - 39321600*A*a^64*b^5*d^8 - 2621440*A*a^66*b^3*d^8))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)) - 1843200*A^3*a^21*b^42*d^6 - 13148160*A^3*a^23*b^40*d^6 + 59834368*A^3*a^25*b^38*d^6 + 1219821568*A^3*a^27*b^36*d^6 + 7772471296*A^3*a^29*b^34*d^6 + 29685874688*A^3*a^31*b^32*d^6 + 77698367488*A^3*a^33*b^30*d^6 + 146424922112*A^3*a^35*b^28*d^6 + 201417506816*A^3*a^37*b^26*d^6 + 198845153280*A^3*a^39*b^24*d^6 + 130733768704*A^3*a^41*b^22*d^6 + 40588476416*A^3*a^43*b^20*d^6 - 18309939200*A^3*a^45*b^18*d^6 - 31045025792*A^3*a^47*b^16*d^6 - 19337248768*A^3*a^49*b^14*d^6 - 7023558656*A^3*a^51*b^12*d^6 - 1523064832*A^3*a^53*b^10*d^6 - 186425344*A^3*a^55*b^8*d^6 - 15728640*A^3*a^57*b^6*d^6 - 2097152*A^3*a^59*b^4*d^6 - 131072*A^3*a^61*b^2*d^6))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2)*1i)/(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2) + (((tan(c + d*x)^(1/2)*(7610564608*A^4*a^27*b^33*d^5 - 597688320*A^4*a^23*b^37*d^5 - 1671430144*A^4*a^25*b^35*d^5 - 58982400*A^4*a^21*b^39*d^5 + 85774565376*A^4*a^29*b^31*d^5 + 385487994880*A^4*a^31*b^29*d^5 + 1104303620096*A^4*a^33*b^27*d^5 + 2240523796480*A^4*a^35*b^25*d^5 + 3345249468416*A^4*a^37*b^23*d^5 + 3717287903232*A^4*a^39*b^21*d^5 + 3053967114240*A^4*a^41*b^19*d^5 + 1807474491392*A^4*a^43*b^17*d^5 + 726513221632*A^4*a^45*b^15*d^5 + 170768990208*A^4*a^47*b^13*d^5 + 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2621440*A*a^66*b^3*d^8))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)) + 1843200*A^3*a^21*b^42*d^6 + 13148160*A^3*a^23*b^40*d^6 - 59834368*A^3*a^25*b^38*d^6 - 1219821568*A^3*a^27*b^36*d^6 - 7772471296*A^3*a^29*b^34*d^6 - 29685874688*A^3*a^31*b^32*d^6 - 77698367488*A^3*a^33*b^30*d^6 - 146424922112*A^3*a^35*b^28*d^6 - 201417506816*A^3*a^37*b^26*d^6 - 198845153280*A^3*a^39*b^24*d^6 - 130733768704*A^3*a^41*b^22*d^6 - 40588476416*A^3*a^43*b^20*d^6 + 18309939200*A^3*a^45*b^18*d^6 + 31045025792*A^3*a^47*b^16*d^6 + 19337248768*A^3*a^49*b^14*d^6 + 7023558656*A^3*a^51*b^12*d^6 + 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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))/(4096*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)) + 78905344*A*a^26*b^43*d^8 + 755761152*A*a^28*b^41*d^8 + 4590927872*A*a^30*b^39*d^8 + 19819659264*A*a^32*b^37*d^8 + 64573931520*A*a^34*b^35*d^8 + 164549885952*A*a^36*b^33*d^8 + 335356624896*A*a^38*b^31*d^8 + 554212786176*A*a^40*b^29*d^8 + 748389138432*A*a^42*b^27*d^8 + 827874344960*A*a^44*b^25*d^8 + 748389138432*A*a^46*b^23*d^8 + 548285710336*A*a^48*b^21*d^8 + 320115572736*A*a^50*b^19*d^8 + 144228483072*A*a^52*b^17*d^8 + 46792704000*A*a^54*b^15*d^8 + 8837136384*A*a^56*b^13*d^8 - 290193408*A*a^58*b^11*d^8 - 785645568*A*a^60*b^9*d^8 - 251396096*A*a^62*b^7*d^8 - 39321600*A*a^64*b^5*d^8 - 2621440*A*a^66*b^3*d^8))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)) - 1843200*A^3*a^21*b^42*d^6 - 13148160*A^3*a^23*b^40*d^6 + 59834368*A^3*a^25*b^38*d^6 + 1219821568*A^3*a^27*b^36*d^6 + 7772471296*A^3*a^29*b^34*d^6 + 29685874688*A^3*a^31*b^32*d^6 + 77698367488*A^3*a^33*b^30*d^6 + 146424922112*A^3*a^35*b^28*d^6 + 201417506816*A^3*a^37*b^26*d^6 + 198845153280*A^3*a^39*b^24*d^6 + 130733768704*A^3*a^41*b^22*d^6 + 40588476416*A^3*a^43*b^20*d^6 - 18309939200*A^3*a^45*b^18*d^6 - 31045025792*A^3*a^47*b^16*d^6 - 19337248768*A^3*a^49*b^14*d^6 - 7023558656*A^3*a^51*b^12*d^6 - 1523064832*A^3*a^53*b^10*d^6 - 186425344*A^3*a^55*b^8*d^6 - 15728640*A^3*a^57*b^6*d^6 - 2097152*A^3*a^59*b^4*d^6 - 131072*A^3*a^61*b^2*d^6))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2))/(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2) - (((tan(c + d*x)^(1/2)*(7610564608*A^4*a^27*b^33*d^5 - 597688320*A^4*a^23*b^37*d^5 - 1671430144*A^4*a^25*b^35*d^5 - 58982400*A^4*a^21*b^39*d^5 + 85774565376*A^4*a^29*b^31*d^5 + 385487994880*A^4*a^31*b^29*d^5 + 1104303620096*A^4*a^33*b^27*d^5 + 2240523796480*A^4*a^35*b^25*d^5 + 3345249468416*A^4*a^37*b^23*d^5 + 3717287903232*A^4*a^39*b^21*d^5 + 3053967114240*A^4*a^41*b^19*d^5 + 1807474491392*A^4*a^43*b^17*d^5 + 726513221632*A^4*a^45*b^15*d^5 + 170768990208*A^4*a^47*b^13*d^5 + 10492051456*A^4*a^49*b^11*d^5 - 4917821440*A^4*a^51*b^9*d^5 - 923009024*A^4*a^53*b^7*d^5 + 8388608*A^4*a^55*b^5*d^5))/64 - ((-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(471859200*A^2*a^22*b^44*d^7 + 9500098560*A^2*a^24*b^42*d^7 + 91857354752*A^2*a^26*b^40*d^7 + 564502986752*A^2*a^28*b^38*d^7 + 2464648527872*A^2*a^30*b^36*d^7 + 8104469069824*A^2*a^32*b^34*d^7 + 20769933361152*A^2*a^34*b^32*d^7 + 42351565209600*A^2*a^36*b^30*d^7 + 69534945902592*A^2*a^38*b^28*d^7 + 92434029608960*A^2*a^40*b^26*d^7 + 99508717355008*A^2*a^42*b^24*d^7 + 86342935511040*A^2*a^44*b^22*d^7 + 59767095558144*A^2*a^46*b^20*d^7 + 32432589897728*A^2*a^48*b^18*d^7 + 13411815522304*A^2*a^50*b^16*d^7 + 4030457708544*A^2*a^52*b^14*d^7 + 805425905664*A^2*a^54*b^12*d^7 + 86608183296*A^2*a^56*b^10*d^7 + 1612709888*A^2*a^58*b^8*d^7 + 16777216*A^2*a^60*b^6*d^7 + 167772160*A^2*a^62*b^4*d^7 + 16777216*A^2*a^64*b^2*d^7))/64 - ((-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*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))/(4096*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)) + 3932160*A*a^24*b^45*d^8 + 78905344*A*a^26*b^43*d^8 + 755761152*A*a^28*b^41*d^8 + 4590927872*A*a^30*b^39*d^8 + 19819659264*A*a^32*b^37*d^8 + 64573931520*A*a^34*b^35*d^8 + 164549885952*A*a^36*b^33*d^8 + 335356624896*A*a^38*b^31*d^8 + 554212786176*A*a^40*b^29*d^8 + 748389138432*A*a^42*b^27*d^8 + 827874344960*A*a^44*b^25*d^8 + 748389138432*A*a^46*b^23*d^8 + 548285710336*A*a^48*b^21*d^8 + 320115572736*A*a^50*b^19*d^8 + 144228483072*A*a^52*b^17*d^8 + 46792704000*A*a^54*b^15*d^8 + 8837136384*A*a^56*b^13*d^8 - 290193408*A*a^58*b^11*d^8 - 785645568*A*a^60*b^9*d^8 - 251396096*A*a^62*b^7*d^8 - 39321600*A*a^64*b^5*d^8 - 2621440*A*a^66*b^3*d^8))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)) + 1843200*A^3*a^21*b^42*d^6 + 13148160*A^3*a^23*b^40*d^6 - 59834368*A^3*a^25*b^38*d^6 - 1219821568*A^3*a^27*b^36*d^6 - 7772471296*A^3*a^29*b^34*d^6 - 29685874688*A^3*a^31*b^32*d^6 - 77698367488*A^3*a^33*b^30*d^6 - 146424922112*A^3*a^35*b^28*d^6 - 201417506816*A^3*a^37*b^26*d^6 - 198845153280*A^3*a^39*b^24*d^6 - 130733768704*A^3*a^41*b^22*d^6 - 40588476416*A^3*a^43*b^20*d^6 + 18309939200*A^3*a^45*b^18*d^6 + 31045025792*A^3*a^47*b^16*d^6 + 19337248768*A^3*a^49*b^14*d^6 + 7023558656*A^3*a^51*b^12*d^6 + 1523064832*A^3*a^53*b^10*d^6 + 186425344*A^3*a^55*b^8*d^6 + 15728640*A^3*a^57*b^6*d^6 + 2097152*A^3*a^59*b^4*d^6 + 131072*A^3*a^61*b^2*d^6))/(64*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2)))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2))/(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2) + 58982400*A^5*a^22*b^35*d^4 + 920125440*A^5*a^24*b^33*d^4 + 6879444992*A^5*a^26*b^31*d^4 + 32454475776*A^5*a^28*b^29*d^4 + 107338792960*A^5*a^30*b^27*d^4 + 262062735360*A^5*a^32*b^25*d^4 + 485059461120*A^5*a^34*b^23*d^4 + 688908140544*A^5*a^36*b^21*d^4 + 751987064832*A^5*a^38*b^19*d^4 + 626086379520*A^5*a^40*b^17*d^4 + 390506741760*A^5*a^42*b^15*d^4 + 176637870080*A^5*a^44*b^13*d^4 + 54704996352*A^5*a^46*b^11*d^4 + 10374086656*A^5*a^48*b^9*d^4 + 908328960*A^5*a^50*b^7*d^4))*(-64*(225*A^2*b^13 + 1380*A^2*a^2*b^11 + 4006*A^2*a^4*b^9 + 5796*A^2*a^6*b^7 + 3969*A^2*a^8*b^5)*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))^(1/2)*1i)/(32*(a^19*d^2 + a^7*b^12*d^2 + 6*a^9*b^10*d^2 + 15*a^11*b^8*d^2 + 20*a^13*b^6*d^2 + 15*a^15*b^4*d^2 + 6*a^17*b^2*d^2))","B"
416,1,16727,156,11.606911,"\text{Not used}","int((tan(c + d*x)^(5/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{2\,B\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{3\,d}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,\left(B^5\,a^4\,b^5-B^5\,a^6\,b^3\right)}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^{10}-B^5\,a^8\,b^2\right)}{b\,d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^{10}-B^5\,a^8\,b^2\right)}{b\,d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,\left(B^5\,a^4\,b^5-B^5\,a^6\,b^3\right)}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,a^7\,\mathrm{atan}\left(\frac{\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}}{\frac{64\,\left(B^5\,a^{10}-B^5\,a^8\,b^2\right)}{b\,d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}+\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^{10}-B^4\,a^4\,b^6\right)}{b\,d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(12\,B^3\,a^9\,b\,d^2-15\,B^3\,a^7\,b^3\,d^2+B^3\,a^5\,b^5\,d^2\right)}{b\,d^5}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,b\,d^2+2\,B^2\,a^7\,b^3\,d^2+4\,B^2\,a^5\,b^5\,d^2-14\,B^2\,a^3\,b^7\,d^2\right)}{b\,d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(4\,B\,a^6\,b^4\,d^4+8\,B\,a^4\,b^6\,d^4+4\,B\,a^2\,b^8\,d^4\right)}{b\,d^5}-\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}+\frac{B\,a^7\,\mathrm{atan}\left(\frac{\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}}{\frac{64\,\left(B^5\,a^4\,b^5-B^5\,a^6\,b^3\right)}{d^5}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}-\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,b^9\right)}{d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(4\,B^3\,a^9\,d^2-16\,B^3\,a^7\,b^2\,d^2+16\,B^3\,a^5\,b^4\,d^2+B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}+\frac{B\,a^7\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^9\,d^2-2\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a^7\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}\right)}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^{11}\,b^3\,d^2-2\,a^9\,b^5\,d^2-a^7\,b^7\,d^2}}","Not used",1,"atan(((((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^10 - B^5*a^8*b^2))/(b*d^5)))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*(B^5*a^4*b^5 - B^5*a^6*b^3))/d^5))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*(B^5*a^4*b^5 - B^5*a^6*b^3))/d^5))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^10 - B^5*a^8*b^2))/(b*d^5)))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + (2*B*tan(c + d*x)^(3/2))/(3*d) - (B*a^7*atan(((B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4) + (B*a^7*((32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5) + (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4) - (B*a^7*((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) + (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))*1i)/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2) + (B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4) - (B*a^7*((32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5) - (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4) + (B*a^7*((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) - (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))*1i)/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))/((64*(B^5*a^10 - B^5*a^8*b^2))/(b*d^5) + (B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4) + (B*a^7*((32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5) + (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4) - (B*a^7*((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) + (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2) - (B*a^7*((32*tan(c + d*x)^(1/2)*(2*B^4*a^10 - B^4*a^4*b^6))/(b*d^4) - (B*a^7*((32*(B^3*a^5*b^5*d^2 - 15*B^3*a^7*b^3*d^2 + 12*B^3*a^9*b*d^2))/(b*d^5) - (B*a^7*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^5*d^2 - 14*B^2*a^3*b^7*d^2 + 2*B^2*a^7*b^3*d^2 + 16*B^2*a^9*b*d^2))/(b*d^4) + (B*a^7*((32*(4*B*a^2*b^8*d^4 + 8*B*a^4*b^6*d^4 + 4*B*a^6*b^4*d^4))/(b*d^5) - (32*B*a^7*tan(c + d*x)^(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*(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))*2i)/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2) + (B*a^7*atan(((B*a^7*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4 + (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5 - (B*a^7*((32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4 + (B*a^7*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*B*a^7*tan(c + d*x)^(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^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))*1i)/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2) + (B*a^7*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4 - (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5 + (B*a^7*((32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4 - (B*a^7*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*B*a^7*tan(c + d*x)^(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^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))*1i)/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))/((64*(B^5*a^4*b^5 - B^5*a^6*b^3))/d^5 - (B*a^7*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4 + (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5 - (B*a^7*((32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4 + (B*a^7*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*B*a^7*tan(c + d*x)^(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^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2) + (B*a^7*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^8*b))/d^4 - (B*a^7*((32*(4*B^3*a^9*d^2 + B^3*a^3*b^6*d^2 + 16*B^3*a^5*b^4*d^2 - 16*B^3*a^7*b^2*d^2 + B^3*a*b^8*d^2))/d^5 + (B*a^7*((32*tan(c + d*x)^(1/2)*(16*B^2*a^9*d^2 - 4*B^2*a^3*b^6*d^2 - 2*B^2*a^5*b^4*d^2 + 14*B^2*a*b^8*d^2))/d^4 - (B*a^7*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*B*a^7*tan(c + d*x)^(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^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2))))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)))*2i)/(- a^7*b^7*d^2 - 2*a^9*b^5*d^2 - a^11*b^3*d^2)^(1/2)","B"
417,1,16060,154,11.289594,"\text{Not used}","int((tan(c + d*x)^(3/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^7\,b^2}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^3\,b^6-B^5\,a^5\,b^4\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{64\,\left(B^5\,a^3\,b^6-B^5\,a^5\,b^4\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\left(\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^7\,b^2}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,a^5\,\mathrm{atan}\left(\frac{\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}}{\frac{64\,\left(B^5\,a^3\,b^6-B^5\,a^5\,b^4\right)}{d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^6\,b^3\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(12\,B^3\,a^6\,b^3\,d^2-15\,B^3\,a^4\,b^5\,d^2+B^3\,a^2\,b^7\,d^2\right)}{d^5}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(16\,B^2\,a^7\,b^2\,d^2+2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^5\,b^4\,d^4+8\,B\,a^3\,b^6\,d^4+4\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}+\frac{B\,a^5\,\mathrm{atan}\left(\frac{\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}-\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}+\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}}{\frac{64\,B^5\,a^7\,b^2}{d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}-\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}+\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^8\,b+B^4\,a^4\,b^5\right)}{d^4}+\frac{B\,a^5\,\left(\frac{32\,\left(4\,B^3\,a^8\,b\,d^2-15\,B^3\,a^6\,b^3\,d^2+B^3\,a^4\,b^5\,d^2\right)}{d^5}-\frac{B\,a^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^7\,b^2\,d^2-4\,B^2\,a^5\,b^4\,d^2+14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}-\frac{B\,a^5\,\left(\frac{32\,\left(4\,B\,a^7\,b^2\,d^4+8\,B\,a^5\,b^4\,d^4+4\,B\,a^3\,b^6\,d^4\right)}{d^5}+\frac{32\,B\,a^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}\right)}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^9\,b\,d^2-2\,a^7\,b^3\,d^2-a^5\,b^5\,d^2}}","Not used",1,"atan(((((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^3*b^6 - B^5*a^5*b^4))/d^5 + (((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^7*b^2)/d^5))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^7*b^2)/d^5))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (64*(B^5*a^3*b^6 - B^5*a^5*b^4))/d^5 + (((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + (2*B*tan(c + d*x)^(1/2))/d - (B*a^5*atan(((B*a^5*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4 + (B*a^5*((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4 + (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 - (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))*1i)/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2) + (B*a^5*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4 - (B*a^5*((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 + (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4 - (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 + (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))*1i)/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))/((64*(B^5*a^3*b^6 - B^5*a^5*b^4))/d^5 - (B*a^5*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4 + (B*a^5*((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 - (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4 + (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 - (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2) + (B*a^5*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^6*b^3))/d^4 - (B*a^5*((32*(B^3*a^2*b^7*d^2 - 15*B^3*a^4*b^5*d^2 + 12*B^3*a^6*b^3*d^2))/d^5 + (B*a^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 + 16*B^2*a^7*b^2*d^2 - 14*B^2*a*b^8*d^2))/d^4 - (B*a^5*((32*(4*B*a*b^8*d^4 + 8*B*a^3*b^6*d^4 + 4*B*a^5*b^4*d^4))/d^5 + (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))*2i)/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2) + (B*a^5*atan(((B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4 - (B*a^5*((32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5 + (B*a^5*((32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4 + (B*a^5*((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 - (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))*1i)/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2) + (B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4 + (B*a^5*((32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5 - (B*a^5*((32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4 - (B*a^5*((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 + (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))*1i)/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))/((64*B^5*a^7*b^2)/d^5 - (B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4 - (B*a^5*((32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5 + (B*a^5*((32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4 + (B*a^5*((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 - (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2) + (B*a^5*((32*tan(c + d*x)^(1/2)*(2*B^4*a^8*b + B^4*a^4*b^5))/d^4 + (B*a^5*((32*(B^3*a^4*b^5*d^2 - 15*B^3*a^6*b^3*d^2 + 4*B^3*a^8*b*d^2))/d^5 - (B*a^5*((32*tan(c + d*x)^(1/2)*(14*B^2*a^3*b^6*d^2 - 4*B^2*a^5*b^4*d^2 + 14*B^2*a^7*b^2*d^2))/d^4 - (B*a^5*((32*(4*B*a^3*b^6*d^4 + 8*B*a^5*b^4*d^4 + 4*B*a^7*b^2*d^4))/d^5 + (32*B*a^5*tan(c + d*x)^(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^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2))))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)))*2i)/(- a^9*b*d^2 - a^5*b^5*d^2 - 2*a^7*b^3*d^2)^(1/2)","B"
418,1,15753,138,11.082723,"\text{Not used}","int((tan(c + d*x)^(1/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^6\,b^3}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^6\,b^3}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^2\,b^7}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a^2\,b^7}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,a^3\,b\,\mathrm{atan}\left(\frac{\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}-\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}{\frac{64\,B^5\,a^6\,b^3}{d^5}-\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^4\,b^5-2\,B^4\,a^6\,b^3\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(B^3\,a^7\,b^2\,d^2+13\,B^3\,a^5\,b^4\,d^2\right)}{d^5}-\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+20\,B^2\,a^5\,b^4\,d^2-14\,B^2\,a^3\,b^6\,d^2\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(12\,B\,a^6\,b^3\,d^4+24\,B\,a^4\,b^5\,d^4+12\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{B\,a^3\,b\,\mathrm{atan}\left(\frac{\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}-\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}{\frac{64\,B^5\,a^2\,b^7}{d^5}-\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}-\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}+\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^4\,a^4\,b^5+B^4\,b^9\right)}{d^4}+\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B^3\,a^5\,b^4\,d^2-15\,B^3\,a^3\,b^6\,d^2+B^3\,a\,b^8\,d^2\right)}{d^5}-\frac{B\,a^3\,b\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(14\,B^2\,a^5\,b^4\,d^2-4\,B^2\,a^3\,b^6\,d^2+14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a^3\,b\,\left(\frac{32\,\left(4\,B\,a^6\,b^3\,d^4+8\,B\,a^4\,b^5\,d^4+4\,B\,a^2\,b^7\,d^4\right)}{d^5}+\frac{32\,B\,a^3\,b\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}\right)}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b\,d^2-2\,a^5\,b^3\,d^2-a^3\,b^5\,d^2}}","Not used",1,"atan(((((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^6*b^3)/d^5))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^6*b^3)/d^5))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^2*b^7)/d^5))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a^2*b^7)/d^5))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - (B*a^3*b*atan(((B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4 - (B*a^3*b*((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 + (B*a^3*b*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4 + (B*a^3*b*((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 - (B*a^3*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 - (B*a^3*b*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))/((64*B^5*a^6*b^3)/d^5 - (B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4 - (B*a^3*b*((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 + (B*a^3*b*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 - (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*a^4*b^5 - 2*B^4*a^6*b^3))/d^4 + (B*a^3*b*((32*(13*B^3*a^5*b^4*d^2 + B^3*a^7*b^2*d^2))/d^5 - (B*a^3*b*((32*tan(c + d*x)^(1/2)*(20*B^2*a^5*b^4*d^2 - 14*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 - (B*a^3*b*((32*(12*B*a^2*b^7*d^4 + 24*B*a^4*b^5*d^4 + 12*B*a^6*b^3*d^4))/d^5 + (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))*2i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (B*a^3*b*atan(((B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4 - (B*a^3*b*((32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5 + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4 + (B*a^3*b*((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 - (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4 + (B*a^3*b*((32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5 - (B*a^3*b*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4 - (B*a^3*b*((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 + (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))*1i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))/((64*B^5*a^2*b^7)/d^5 - (B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4 - (B*a^3*b*((32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5 + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4 + (B*a^3*b*((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 - (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2) + (B*a^3*b*((32*tan(c + d*x)^(1/2)*(B^4*b^9 + 2*B^4*a^4*b^5))/d^4 + (B*a^3*b*((32*(4*B^3*a^5*b^4*d^2 - 15*B^3*a^3*b^6*d^2 + B^3*a*b^8*d^2))/d^5 - (B*a^3*b*((32*tan(c + d*x)^(1/2)*(14*B^2*a^5*b^4*d^2 - 4*B^2*a^3*b^6*d^2 + 14*B^2*a*b^8*d^2))/d^4 - (B*a^3*b*((32*(4*B*a^2*b^7*d^4 + 8*B*a^4*b^5*d^4 + 4*B*a^6*b^3*d^4))/d^5 + (32*B*a^3*b*tan(c + d*x)^(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^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2))))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)))*2i)/(- a^7*b*d^2 - a^3*b^5*d^2 - 2*a^5*b^3*d^2)^(1/2)","B"
419,1,15437,138,11.121336,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))),x)","-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\left(\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a\,b^8}{d^5}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\left(\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{64\,B^5\,a\,b^8}{d^5}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,a\,b^3\,\mathrm{atan}\left(\frac{\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}+\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}-\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}{\frac{64\,B^5\,a\,b^8}{d^5}-\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}+\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}-\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}+\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,b^9-2\,B^4\,a^2\,b^7\right)}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^4\,b^5\,d^2+13\,B^3\,a^2\,b^7\,d^2\right)}{d^5}-\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+20\,B^2\,a^3\,b^6\,d^2-14\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(12\,B\,a^5\,b^4\,d^4+24\,B\,a^3\,b^6\,d^4+12\,B\,a\,b^8\,d^4\right)}{d^5}+\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}-\frac{B\,a\,b^3\,\mathrm{atan}\left(\frac{\frac{B\,a\,b^3\,\left(\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}+\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}-\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}+\frac{B\,a\,b^3\,\left(\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}+\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}{\frac{B\,a\,b^3\,\left(\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}+\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}-\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}-\frac{B\,a\,b^3\,\left(\frac{96\,B^4\,a^4\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{B\,a\,b^3\,\left(\frac{32\,\left(B^3\,a^6\,b^3+5\,B^3\,a^4\,b^5\right)}{d^3}-\frac{B\,a\,b^3\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^7\,b^2\,d^2+4\,B^2\,a^5\,b^4\,d^2-30\,B^2\,a^3\,b^6\,d^2\right)}{d^4}+\frac{B\,a\,b^3\,\left(\frac{32\,\left(-4\,B\,a^7\,b^2\,d^2+8\,B\,a^5\,b^4\,d^2+28\,B\,a^3\,b^6\,d^2+16\,B\,a\,b^8\,d^2\right)}{d^3}+\frac{32\,B\,a\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}\right)}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b^3\,d^2-2\,a^3\,b^5\,d^2-a\,b^7\,d^2}}","Not used",1,"atan(((((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a*b^8)/d^5))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (64*B^5*a*b^8)/d^5))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - (B*a*b^3*atan(((B*a*b^3*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4 - (B*a*b^3*((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (B*a*b^3*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4 + (B*a*b^3*((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 - (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) + (B*a*b^3*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4 + (B*a*b^3*((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 - (B*a*b^3*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4 - (B*a*b^3*((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 + (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))/((64*B^5*a*b^8)/d^5 - (B*a*b^3*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4 - (B*a*b^3*((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 + (B*a*b^3*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4 + (B*a*b^3*((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 - (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) + (B*a*b^3*((32*tan(c + d*x)^(1/2)*(B^4*b^9 - 2*B^4*a^2*b^7))/d^4 + (B*a*b^3*((32*(13*B^3*a^2*b^7*d^2 + B^3*a^4*b^5*d^2))/d^5 - (B*a*b^3*((32*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 14*B^2*a*b^8*d^2))/d^4 - (B*a*b^3*((32*(12*B*a*b^8*d^4 + 24*B*a^3*b^6*d^4 + 12*B*a^5*b^4*d^4))/d^5 + (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))*2i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) - (B*a*b^3*atan(((B*a*b^3*((96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4 + (B*a*b^3*((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 + (B*a*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 - (B*a*b^3*((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 - (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) + (B*a*b^3*((96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4 - (B*a*b^3*((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (B*a*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 + (B*a*b^3*((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 + (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))*1i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))/((B*a*b^3*((96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4 + (B*a*b^3*((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 + (B*a*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 - (B*a*b^3*((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 - (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2) - (B*a*b^3*((96*B^4*a^4*b^5*tan(c + d*x)^(1/2))/d^4 - (B*a*b^3*((32*(5*B^3*a^4*b^5 + B^3*a^6*b^3))/d^3 - (B*a*b^3*((32*tan(c + d*x)^(1/2)*(4*B^2*a^5*b^4*d^2 - 30*B^2*a^3*b^6*d^2 + 2*B^2*a^7*b^2*d^2))/d^4 + (B*a*b^3*((32*(16*B*a*b^8*d^2 + 28*B*a^3*b^6*d^2 + 8*B*a^5*b^4*d^2 - 4*B*a^7*b^2*d^2))/d^3 + (32*B*a*b^3*tan(c + d*x)^(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*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2))))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)))*2i)/(- a*b^7*d^2 - 2*a^3*b^5*d^2 - a^5*b^3*d^2)^(1/2)","B"
420,1,15569,154,10.887304,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))),x)","-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}-\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\left(\left(\left(\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)-512\,B\,b^9\,d^8-640\,B\,a^2\,b^7\,d^8+256\,B\,a^4\,b^5\,d^8+384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-32\,B^3\,a^5\,b^4\,d^6-32\,B^3\,a^7\,b^2\,d^6+128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)+512\,B\,b^9\,d^8+640\,B\,a^2\,b^7\,d^8-256\,B\,a^4\,b^5\,d^8-384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)-512\,B\,b^9\,d^8-640\,B\,a^2\,b^7\,d^8+256\,B\,a^4\,b^5\,d^8+384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-32\,B^3\,a^5\,b^4\,d^6-32\,B^3\,a^7\,b^2\,d^6+128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)+512\,B\,b^9\,d^8+640\,B\,a^2\,b^7\,d^8-256\,B\,a^4\,b^5\,d^8-384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)-512\,B\,b^9\,d^8-640\,B\,a^2\,b^7\,d^8+256\,B\,a^4\,b^5\,d^8+384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-32\,B^3\,a^5\,b^4\,d^6-32\,B^3\,a^7\,b^2\,d^6+128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)+512\,B\,b^9\,d^8+640\,B\,a^2\,b^7\,d^8-256\,B\,a^4\,b^5\,d^8-384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)-512\,B\,b^9\,d^8-640\,B\,a^2\,b^7\,d^8+256\,B\,a^4\,b^5\,d^8+384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-32\,B^3\,a^5\,b^4\,d^6-32\,B^3\,a^7\,b^2\,d^6+128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)+512\,B\,b^9\,d^8+640\,B\,a^2\,b^7\,d^8-256\,B\,a^4\,b^5\,d^8-384\,B\,a^6\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{2\,B}{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}-\frac{B\,b^5\,\mathrm{atan}\left(\frac{\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\frac{B\,b^5\,\left(32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\frac{B\,b^5\,\left(512\,B\,b^9\,d^8+640\,B\,a^2\,b^7\,d^8-256\,B\,a^4\,b^5\,d^8-384\,B\,a^6\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)-\frac{B\,b^5\,\left(32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6-\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\frac{B\,b^5\,\left(256\,B\,a^4\,b^5\,d^8-640\,B\,a^2\,b^7\,d^8-512\,B\,b^9\,d^8+384\,B\,a^6\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}}{\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)+\frac{B\,b^5\,\left(32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6+\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\frac{B\,b^5\,\left(512\,B\,b^9\,d^8+640\,B\,a^2\,b^7\,d^8-256\,B\,a^4\,b^5\,d^8-384\,B\,a^6\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}-\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^2\,b^7\,d^5-32\,B^4\,a^4\,b^5\,d^5\right)-\frac{B\,b^5\,\left(32\,B^3\,a^5\,b^4\,d^6+32\,B^3\,a^7\,b^2\,d^6-128\,B^3\,a\,b^8\,d^6-\frac{B\,b^5\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^7\,b^2\,d^7+128\,B^2\,a^5\,b^4\,d^7-448\,B^2\,a^3\,b^6\,d^7+512\,B^2\,a\,b^8\,d^7\right)-\frac{B\,b^5\,\left(256\,B\,a^4\,b^5\,d^8-640\,B\,a^2\,b^7\,d^8-512\,B\,b^9\,d^8+384\,B\,a^6\,b^3\,d^8+\frac{B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-512\,a^6\,b^3\,d^9-512\,a^4\,b^5\,d^9+512\,a^2\,b^7\,d^9+512\,b^9\,d^9\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}-\frac{B\,b^5\,\mathrm{atan}\left(\frac{\frac{B\,b^5\,\left(\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{B\,b^5\,\left(\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}+\frac{B\,b^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,b^5\,\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}-\frac{32\,B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}+\frac{B\,b^5\,\left(\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{B\,b^5\,\left(\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}-\frac{B\,b^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,b^5\,\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}+\frac{32\,B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}}{\frac{B\,b^5\,\left(\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}+\frac{B\,b^5\,\left(\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}+\frac{B\,b^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}-\frac{B\,b^5\,\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}-\frac{32\,B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}-\frac{B\,b^5\,\left(\frac{96\,B^4\,b^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{d^4}-\frac{B\,b^5\,\left(\frac{32\,\left(B^3\,a^3\,b^6+5\,B^3\,a\,b^8\right)}{d^3}-\frac{B\,b^5\,\left(\frac{32\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,B^2\,a^5\,b^4\,d^2+4\,B^2\,a^3\,b^6\,d^2-30\,B^2\,a\,b^8\,d^2\right)}{d^4}+\frac{B\,b^5\,\left(\frac{32\,\left(-4\,B\,a^6\,b^3\,d^2+8\,B\,a^4\,b^5\,d^2+28\,B\,a^2\,b^7\,d^2+16\,B\,b^9\,d^2\right)}{d^3}+\frac{32\,B\,b^5\,\sqrt{\mathrm{tan}\left(c+d\,x\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\,\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}\right)}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^5\,b^5\,d^2-2\,a^3\,b^7\,d^2-a\,b^9\,d^2}}","Not used",1,"atan(((tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) - 512*B*b^9*d^8 - 640*B*a^2*b^7*d^8 + 256*B*a^4*b^5*d^8 + 384*B*a^6*b^3*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 32*B^3*a^5*b^4*d^6 - 32*B^3*a^7*b^2*d^6 + 128*B^3*a*b^8*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) + 512*B*b^9*d^8 + 640*B*a^2*b^7*d^8 - 256*B*a^4*b^5*d^8 - 384*B*a^6*b^3*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) - 512*B*b^9*d^8 - 640*B*a^2*b^7*d^8 + 256*B*a^4*b^5*d^8 + 384*B*a^6*b^3*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 32*B^3*a^5*b^4*d^6 - 32*B^3*a^7*b^2*d^6 + 128*B^3*a*b^8*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) + 512*B*b^9*d^8 + 640*B*a^2*b^7*d^8 - 256*B*a^4*b^5*d^8 - 384*B*a^6*b^3*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - atan(((((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i - (((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 - (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (((((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 + (32*tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + (96*B^4*b^9*tan(c + d*x)^(1/2))/d^4)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) - 512*B*b^9*d^8 - 640*B*a^2*b^7*d^8 + 256*B*a^4*b^5*d^8 + 384*B*a^6*b^3*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 32*B^3*a^5*b^4*d^6 - 32*B^3*a^7*b^2*d^6 + 128*B^3*a*b^8*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) + 512*B*b^9*d^8 + 640*B*a^2*b^7*d^8 - 256*B*a^4*b^5*d^8 - 384*B*a^6*b^3*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) - 512*B*b^9*d^8 - 640*B*a^2*b^7*d^8 + 256*B*a^4*b^5*d^8 + 384*B*a^6*b^3*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 32*B^3*a^5*b^4*d^6 - 32*B^3*a^7*b^2*d^6 + 128*B^3*a*b^8*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9) + 512*B*b^9*d^8 + 640*B*a^2*b^7*d^8 - 256*B*a^4*b^5*d^8 - 384*B*a^6*b^3*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - (2*B)/(d*tan(c + d*x)^(1/2)) - (B*b^5*atan(((B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (B*b^5*(32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6 + (B*b^5*(tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (B*b^5*(512*B*b^9*d^8 + 640*B*a^2*b^7*d^8 - 256*B*a^4*b^5*d^8 - 384*B*a^6*b^3*d^8 + (B*b^5*tan(c + d*x)^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))*1i)/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2) + (B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) - (B*b^5*(32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6 - (B*b^5*(tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (B*b^5*(256*B*a^4*b^5*d^8 - 640*B*a^2*b^7*d^8 - 512*B*b^9*d^8 + 384*B*a^6*b^3*d^8 + (B*b^5*tan(c + d*x)^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))*1i)/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))/((B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) + (B*b^5*(32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6 + (B*b^5*(tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (B*b^5*(512*B*b^9*d^8 + 640*B*a^2*b^7*d^8 - 256*B*a^4*b^5*d^8 - 384*B*a^6*b^3*d^8 + (B*b^5*tan(c + d*x)^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2) - (B*b^5*(tan(c + d*x)^(1/2)*(64*B^4*a^2*b^7*d^5 - 32*B^4*a^4*b^5*d^5) - (B*b^5*(32*B^3*a^5*b^4*d^6 + 32*B^3*a^7*b^2*d^6 - 128*B^3*a*b^8*d^6 - (B*b^5*(tan(c + d*x)^(1/2)*(128*B^2*a^5*b^4*d^7 - 448*B^2*a^3*b^6*d^7 + 64*B^2*a^7*b^2*d^7 + 512*B^2*a*b^8*d^7) - (B*b^5*(256*B*a^4*b^5*d^8 - 640*B*a^2*b^7*d^8 - 512*B*b^9*d^8 + 384*B*a^6*b^3*d^8 + (B*b^5*tan(c + d*x)^(1/2)*(512*b^9*d^9 + 512*a^2*b^7*d^9 - 512*a^4*b^5*d^9 - 512*a^6*b^3*d^9))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))*2i)/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2) - (B*b^5*atan(((B*b^5*((96*B^4*b^9*tan(c + d*x)^(1/2))/d^4 + (B*b^5*((32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3 + (B*b^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4 - (B*b^5*((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 - (32*B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))*1i)/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2) + (B*b^5*((96*B^4*b^9*tan(c + d*x)^(1/2))/d^4 - (B*b^5*((32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3 - (B*b^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4 + (B*b^5*((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 + (32*B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))*1i)/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))/((B*b^5*((96*B^4*b^9*tan(c + d*x)^(1/2))/d^4 + (B*b^5*((32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3 + (B*b^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4 - (B*b^5*((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 - (32*B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2) - (B*b^5*((96*B^4*b^9*tan(c + d*x)^(1/2))/d^4 - (B*b^5*((32*(5*B^3*a*b^8 + B^3*a^3*b^6))/d^3 - (B*b^5*((32*tan(c + d*x)^(1/2)*(4*B^2*a^3*b^6*d^2 + 2*B^2*a^5*b^4*d^2 - 30*B^2*a*b^8*d^2))/d^4 + (B*b^5*((32*(16*B*b^9*d^2 + 28*B*a^2*b^7*d^2 + 8*B*a^4*b^5*d^2 - 4*B*a^6*b^3*d^2))/d^3 + (32*B*b^5*tan(c + d*x)^(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*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2))))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)))*2i)/(- a*b^9*d^2 - 2*a^3*b^7*d^2 - a^5*b^5*d^2)^(1/2)","B"
421,1,16545,156,11.587494,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))),x)","-\frac{\frac{2\,B}{3}-\frac{2\,B\,b\,\mathrm{tan}\left(c+d\,x\right)}{a}}{d\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}-\frac{2\,B\,b}{a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-512\,B\,a^{10}\,b^8\,d^8+384\,B\,a^{12}\,b^6\,d^8+256\,B\,a^{14}\,b^4\,d^8-128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,B^3\,a^9\,b^9\,d^6+32\,B^3\,a^{13}\,b^5\,d^6+32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,B^3\,a^9\,b^9\,d^6-32\,B^3\,a^{13}\,b^5\,d^6-32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,B^3\,a^9\,b^9\,d^6-32\,B^3\,a^{13}\,b^5\,d^6-32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-512\,B\,a^{10}\,b^8\,d^8+384\,B\,a^{12}\,b^6\,d^8+256\,B\,a^{14}\,b^4\,d^8-128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,B^3\,a^9\,b^9\,d^6+32\,B^3\,a^{13}\,b^5\,d^6+32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+64\,B^5\,a^{10}\,b^8\,d^4}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-512\,B\,a^{10}\,b^8\,d^8+384\,B\,a^{12}\,b^6\,d^8+256\,B\,a^{14}\,b^4\,d^8-128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,B^3\,a^9\,b^9\,d^6+32\,B^3\,a^{13}\,b^5\,d^6+32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,B^3\,a^9\,b^9\,d^6-32\,B^3\,a^{13}\,b^5\,d^6-32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+384\,B^3\,a^9\,b^9\,d^6-32\,B^3\,a^{13}\,b^5\,d^6-32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-512\,B\,a^{10}\,b^8\,d^8+384\,B\,a^{12}\,b^6\,d^8+256\,B\,a^{14}\,b^4\,d^8-128\,B\,a^{16}\,b^2\,d^8\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-384\,B^3\,a^9\,b^9\,d^6+32\,B^3\,a^{13}\,b^5\,d^6+32\,B^3\,a^{15}\,b^3\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+64\,B^5\,a^{10}\,b^8\,d^4}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^6\,b^2\,d^4-B^4\,a^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a^3\,b\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-640\,B\,a^{10}\,b^8\,d^8+256\,B\,a^{12}\,b^6\,d^8+384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^{11}\,d^6+32\,B^3\,a^{11}\,b^7\,d^6+32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+640\,B\,a^{10}\,b^8\,d^8-256\,B\,a^{12}\,b^6\,d^8-384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^{11}\,d^6-32\,B^3\,a^{11}\,b^7\,d^6-32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-640\,B\,a^{10}\,b^8\,d^8+256\,B\,a^{12}\,b^6\,d^8+384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^{11}\,d^6+32\,B^3\,a^{11}\,b^7\,d^6+32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+640\,B\,a^{10}\,b^8\,d^8-256\,B\,a^{12}\,b^6\,d^8-384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^{11}\,d^6-32\,B^3\,a^{11}\,b^7\,d^6-32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}-8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-640\,B\,a^{10}\,b^8\,d^8+256\,B\,a^{12}\,b^6\,d^8+384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^{11}\,d^6+32\,B^3\,a^{11}\,b^7\,d^6+32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}+\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+640\,B\,a^{10}\,b^8\,d^8-256\,B\,a^{12}\,b^6\,d^8-384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^{11}\,d^6-32\,B^3\,a^{11}\,b^7\,d^6-32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,1{}\mathrm{i}}{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8-640\,B\,a^{10}\,b^8\,d^8+256\,B\,a^{12}\,b^6\,d^8+384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-128\,B^3\,a^7\,b^{11}\,d^6+32\,B^3\,a^{11}\,b^7\,d^6+32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)-\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\left(\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\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\,B\,a^8\,b^{10}\,d^8+640\,B\,a^{10}\,b^8\,d^8-256\,B\,a^{12}\,b^6\,d^8-384\,B\,a^{14}\,b^4\,d^8\right)-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}+128\,B^3\,a^7\,b^{11}\,d^6-32\,B^3\,a^{11}\,b^7\,d^6-32\,B^3\,a^{13}\,b^5\,d^6\right)\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}}\right)\,\sqrt{-\frac{\sqrt{64\,B^4\,a^2\,b^6\,d^4-B^4\,b^4\,\left(16\,a^4\,d^4+32\,a^2\,b^2\,d^4+16\,b^4\,d^4\right)}+8\,B^2\,a\,b^3\,d^2}{16\,\left(a^4\,d^4+2\,a^2\,b^2\,d^4+b^4\,d^4\right)}}\,2{}\mathrm{i}-\frac{B\,b^7\,\mathrm{atan}\left(\frac{\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)+\frac{B\,b^7\,\left(32\,B^3\,a^{11}\,b^7\,d^6-128\,B^3\,a^7\,b^{11}\,d^6+32\,B^3\,a^{13}\,b^5\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\frac{B\,b^7\,\left(512\,B\,a^8\,b^{10}\,d^8+640\,B\,a^{10}\,b^8\,d^8-256\,B\,a^{12}\,b^6\,d^8-384\,B\,a^{14}\,b^4\,d^8+\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)+\frac{B\,b^7\,\left(128\,B^3\,a^7\,b^{11}\,d^6-32\,B^3\,a^{11}\,b^7\,d^6-32\,B^3\,a^{13}\,b^5\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\frac{B\,b^7\,\left(256\,B\,a^{12}\,b^6\,d^8-640\,B\,a^{10}\,b^8\,d^8-512\,B\,a^8\,b^{10}\,d^8+384\,B\,a^{14}\,b^4\,d^8+\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}}{\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)+\frac{B\,b^7\,\left(32\,B^3\,a^{11}\,b^7\,d^6-128\,B^3\,a^7\,b^{11}\,d^6+32\,B^3\,a^{13}\,b^5\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\frac{B\,b^7\,\left(512\,B\,a^8\,b^{10}\,d^8+640\,B\,a^{10}\,b^8\,d^8-256\,B\,a^{12}\,b^6\,d^8-384\,B\,a^{14}\,b^4\,d^8+\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}-\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^4\,a^7\,b^{11}\,d^5-32\,B^4\,a^9\,b^9\,d^5\right)+\frac{B\,b^7\,\left(128\,B^3\,a^7\,b^{11}\,d^6-32\,B^3\,a^{11}\,b^7\,d^6-32\,B^3\,a^{13}\,b^5\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{14}\,b^4\,d^7+128\,B^2\,a^{12}\,b^6\,d^7-448\,B^2\,a^{10}\,b^8\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\frac{B\,b^7\,\left(256\,B\,a^{12}\,b^6\,d^8-640\,B\,a^{10}\,b^8\,d^8-512\,B\,a^8\,b^{10}\,d^8+384\,B\,a^{14}\,b^4\,d^8+\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}+\frac{B\,b^7\,\mathrm{atan}\left(\frac{\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\frac{B\,b^7\,\left(32\,B^3\,a^{13}\,b^5\,d^6-384\,B^3\,a^9\,b^9\,d^6+32\,B^3\,a^{15}\,b^3\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)+\frac{B\,b^7\,\left(512\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8-\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\frac{B\,b^7\,\left(384\,B^3\,a^9\,b^9\,d^6-32\,B^3\,a^{13}\,b^5\,d^6-32\,B^3\,a^{15}\,b^3\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\frac{B\,b^7\,\left(512\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8+\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)\,1{}\mathrm{i}}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}}{64\,B^5\,a^{10}\,b^8\,d^4-\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\frac{B\,b^7\,\left(32\,B^3\,a^{13}\,b^5\,d^6-384\,B^3\,a^9\,b^9\,d^6+32\,B^3\,a^{15}\,b^3\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)+\frac{B\,b^7\,\left(512\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8-\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{13}\,b^5\,d^5+64\,B^4\,a^9\,b^9\,d^5\right)-\frac{B\,b^7\,\left(384\,B^3\,a^9\,b^9\,d^6-32\,B^3\,a^{13}\,b^5\,d^6-32\,B^3\,a^{15}\,b^3\,d^6+\frac{B\,b^7\,\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-64\,B^2\,a^{16}\,b^2\,d^7-128\,B^2\,a^{14}\,b^4\,d^7+448\,B^2\,a^{12}\,b^6\,d^7+512\,B^2\,a^8\,b^{10}\,d^7\right)-\frac{B\,b^7\,\left(512\,B\,a^8\,b^{10}\,d^8+512\,B\,a^{10}\,b^8\,d^8-384\,B\,a^{12}\,b^6\,d^8-256\,B\,a^{14}\,b^4\,d^8+128\,B\,a^{16}\,b^2\,d^8+\frac{B\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\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)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}\right)}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}}\right)\,2{}\mathrm{i}}{\sqrt{-a^7\,b^7\,d^2-2\,a^5\,b^9\,d^2-a^3\,b^{11}\,d^2}}","Not used",1,"atan(((tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 512*B*a^10*b^8*d^8 + 384*B*a^12*b^6*d^8 + 256*B*a^14*b^4*d^8 - 128*B*a^16*b^2*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*B^3*a^9*b^9*d^6 + 32*B^3*a^13*b^5*d^6 + 32*B^3*a^15*b^3*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*B^3*a^9*b^9*d^6 - 32*B^3*a^13*b^5*d^6 - 32*B^3*a^15*b^3*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*B^3*a^9*b^9*d^6 - 32*B^3*a^13*b^5*d^6 - 32*B^3*a^15*b^3*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 512*B*a^10*b^8*d^8 + 384*B*a^12*b^6*d^8 + 256*B*a^14*b^4*d^8 - 128*B*a^16*b^2*d^8))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*B^3*a^9*b^9*d^6 + 32*B^3*a^13*b^5*d^6 + 32*B^3*a^15*b^3*d^6))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 64*B^5*a^10*b^8*d^4))*(-((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 512*B*a^10*b^8*d^8 + 384*B*a^12*b^6*d^8 + 256*B*a^14*b^4*d^8 - 128*B*a^16*b^2*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*B^3*a^9*b^9*d^6 + 32*B^3*a^13*b^5*d^6 + 32*B^3*a^15*b^3*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*B^3*a^9*b^9*d^6 - 32*B^3*a^13*b^5*d^6 - 32*B^3*a^15*b^3*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 384*B^3*a^9*b^9*d^6 - 32*B^3*a^13*b^5*d^6 - 32*B^3*a^15*b^3*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*((tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 512*B*a^10*b^8*d^8 + 384*B*a^12*b^6*d^8 + 256*B*a^14*b^4*d^8 - 128*B*a^16*b^2*d^8))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 384*B^3*a^9*b^9*d^6 + 32*B^3*a^13*b^5*d^6 + 32*B^3*a^15*b^3*d^6))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 64*B^5*a^10*b^8*d^4))*(((64*B^4*a^6*b^2*d^4 - B^4*a^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a^3*b*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 640*B*a^10*b^8*d^8 + 256*B*a^12*b^6*d^8 + 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^11*d^6 + 32*B^3*a^11*b^7*d^6 + 32*B^3*a^13*b^5*d^6))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 640*B*a^10*b^8*d^8 - 256*B*a^12*b^6*d^8 - 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^11*d^6 - 32*B^3*a^11*b^7*d^6 - 32*B^3*a^13*b^5*d^6))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 640*B*a^10*b^8*d^8 + 256*B*a^12*b^6*d^8 + 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^11*d^6 + 32*B^3*a^11*b^7*d^6 + 32*B^3*a^13*b^5*d^6))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 640*B*a^10*b^8*d^8 - 256*B*a^12*b^6*d^8 - 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^11*d^6 - 32*B^3*a^11*b^7*d^6 - 32*B^3*a^13*b^5*d^6))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) - 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i + atan(((tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 640*B*a^10*b^8*d^8 + 256*B*a^12*b^6*d^8 + 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^11*d^6 + 32*B^3*a^11*b^7*d^6 + 32*B^3*a^13*b^5*d^6))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i + (tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 640*B*a^10*b^8*d^8 - 256*B*a^12*b^6*d^8 - 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^11*d^6 - 32*B^3*a^11*b^7*d^6 - 32*B^3*a^13*b^5*d^6))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*1i)/((tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 - 640*B*a^10*b^8*d^8 + 256*B*a^12*b^6*d^8 + 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - 128*B^3*a^7*b^11*d^6 + 32*B^3*a^11*b^7*d^6 + 32*B^3*a^13*b^5*d^6))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) - (tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) - (-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(((-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*(tan(c + d*x)^(1/2)*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(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*B*a^8*b^10*d^8 + 640*B*a^10*b^8*d^8 - 256*B*a^12*b^6*d^8 - 384*B*a^14*b^4*d^8) - tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2) + 128*B^3*a^7*b^11*d^6 - 32*B^3*a^11*b^7*d^6 - 32*B^3*a^13*b^5*d^6))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)))*(-((64*B^4*a^2*b^6*d^4 - B^4*b^4*(16*a^4*d^4 + 16*b^4*d^4 + 32*a^2*b^2*d^4))^(1/2) + 8*B^2*a*b^3*d^2)/(16*(a^4*d^4 + b^4*d^4 + 2*a^2*b^2*d^4)))^(1/2)*2i - ((2*B)/3 - (2*B*b*tan(c + d*x))/a)/(d*tan(c + d*x)^(3/2)) - (B*b^7*atan(((B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) + (B*b^7*(32*B^3*a^11*b^7*d^6 - 128*B^3*a^7*b^11*d^6 + 32*B^3*a^13*b^5*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7) - (B*b^7*(512*B*a^8*b^10*d^8 + 640*B*a^10*b^8*d^8 - 256*B*a^12*b^6*d^8 - 384*B*a^14*b^4*d^8 + (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2))*1i)/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2) + (B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) + (B*b^7*(128*B^3*a^7*b^11*d^6 - 32*B^3*a^11*b^7*d^6 - 32*B^3*a^13*b^5*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7) - (B*b^7*(256*B*a^12*b^6*d^8 - 640*B*a^10*b^8*d^8 - 512*B*a^8*b^10*d^8 + 384*B*a^14*b^4*d^8 + (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2))*1i)/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2))/((B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) + (B*b^7*(32*B^3*a^11*b^7*d^6 - 128*B^3*a^7*b^11*d^6 + 32*B^3*a^13*b^5*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7) - (B*b^7*(512*B*a^8*b^10*d^8 + 640*B*a^10*b^8*d^8 - 256*B*a^12*b^6*d^8 - 384*B*a^14*b^4*d^8 + (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2) - (B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^7*b^11*d^5 - 32*B^4*a^9*b^9*d^5) + (B*b^7*(128*B^3*a^7*b^11*d^6 - 32*B^3*a^11*b^7*d^6 - 32*B^3*a^13*b^5*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 - 448*B^2*a^10*b^8*d^7 + 128*B^2*a^12*b^6*d^7 + 64*B^2*a^14*b^4*d^7) - (B*b^7*(256*B*a^12*b^6*d^8 - 640*B*a^10*b^8*d^8 - 512*B*a^8*b^10*d^8 + 384*B*a^14*b^4*d^8 + (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))*2i)/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2) + (B*b^7*atan(((B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (B*b^7*(32*B^3*a^13*b^5*d^6 - 384*B^3*a^9*b^9*d^6 + 32*B^3*a^15*b^3*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) + (B*b^7*(512*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8 - (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2))*1i)/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2) + (B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (B*b^7*(384*B^3*a^9*b^9*d^6 - 32*B^3*a^13*b^5*d^6 - 32*B^3*a^15*b^3*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (B*b^7*(512*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8 + (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2))*1i)/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2))/(64*B^5*a^10*b^8*d^4 - (B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (B*b^7*(32*B^3*a^13*b^5*d^6 - 384*B^3*a^9*b^9*d^6 + 32*B^3*a^15*b^3*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) + (B*b^7*(512*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8 - (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2) + (B*b^7*(tan(c + d*x)^(1/2)*(64*B^4*a^9*b^9*d^5 + 32*B^4*a^13*b^5*d^5) - (B*b^7*(384*B^3*a^9*b^9*d^6 - 32*B^3*a^13*b^5*d^6 - 32*B^3*a^15*b^3*d^6 + (B*b^7*(tan(c + d*x)^(1/2)*(512*B^2*a^8*b^10*d^7 + 448*B^2*a^12*b^6*d^7 - 128*B^2*a^14*b^4*d^7 - 64*B^2*a^16*b^2*d^7) - (B*b^7*(512*B*a^8*b^10*d^8 + 512*B*a^10*b^8*d^8 - 384*B*a^12*b^6*d^8 - 256*B*a^14*b^4*d^8 + 128*B*a^16*b^2*d^8 + (B*b^7*tan(c + d*x)^(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*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2)))*2i)/(- a^3*b^11*d^2 - 2*a^5*b^9*d^2 - a^7*b^7*d^2)^(1/2) - (2*B*b)/(a*d*tan(c + d*x)^(1/2))","B"
422,1,18514,256,35.550335,"\text{Not used}","int((tan(c + d*x)^(5/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,B\,a^3\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^4\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,B^5\,a^7\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,B\,a^3\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^4\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,B^5\,a^7\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}}{4}-\ln\left(\frac{8\,B^5\,a^7\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,B\,a^3\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^4\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{8\,B^5\,a^7\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{b\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,B\,a^3\,b^3\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^4\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^4\,\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)}{b\,d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,a\,b^3\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,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)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^7\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,a\,b^3\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,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)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^7\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{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}}}{4}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,a\,b^3\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^7\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,a\,b^3\,\left(7\,a^4+8\,a^2\,b^2+b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,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)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^5\,a^3\,b^7\,\left(3\,a^2+7\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{2\,B\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{b\,d}+\frac{B\,a^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(d\,\mathrm{tan}\left(c+d\,x\right)\,b^2+a\,d\,b\right)\,\left(a^2+b^2\right)}-\frac{B\,a^3\,\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)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}\,b+33\,B^4\,a^{10}\,b^3+7\,B^4\,a^8\,b^5-49\,B^4\,a^6\,b^7+2\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,a^4\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,d^2+480\,B^2\,a^{13}\,b^2\,d^2+1132\,B^2\,a^{11}\,b^4\,d^2+1108\,B^2\,a^9\,b^6\,d^2+448\,B^2\,a^7\,b^8\,d^2+72\,B^2\,a^5\,b^{10}\,d^2-52\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(56\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+600\,B\,a^9\,b^7\,d^4+640\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+96\,B\,a^3\,b^{13}\,d^4+8\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}\,b+33\,B^4\,a^{10}\,b^3+7\,B^4\,a^8\,b^5-49\,B^4\,a^6\,b^7+2\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,a^4\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,d^2+480\,B^2\,a^{13}\,b^2\,d^2+1132\,B^2\,a^{11}\,b^4\,d^2+1108\,B^2\,a^9\,b^6\,d^2+448\,B^2\,a^7\,b^8\,d^2+72\,B^2\,a^5\,b^{10}\,d^2-52\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(56\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+600\,B\,a^9\,b^7\,d^4+640\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+96\,B\,a^3\,b^{13}\,d^4+8\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{\frac{32\,\left(3\,B^5\,a^5\,b^7+7\,B^5\,a^3\,b^9\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(9\,B^4\,a^{12}\,b+33\,B^4\,a^{10}\,b^3+7\,B^4\,a^8\,b^5-49\,B^4\,a^6\,b^7+2\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,a^4\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,d^2+480\,B^2\,a^{13}\,b^2\,d^2+1132\,B^2\,a^{11}\,b^4\,d^2+1108\,B^2\,a^9\,b^6\,d^2+448\,B^2\,a^7\,b^8\,d^2+72\,B^2\,a^5\,b^{10}\,d^2-52\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(56\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+600\,B\,a^9\,b^7\,d^4+640\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+96\,B\,a^3\,b^{13}\,d^4+8\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,B^4\,a^{12}\,b+33\,B^4\,a^{10}\,b^3+7\,B^4\,a^8\,b^5-49\,B^4\,a^6\,b^7+2\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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(-18\,B^3\,a^{14}\,d^2+24\,B^3\,a^{12}\,b^2\,d^2+388\,B^3\,a^{10}\,b^4\,d^2+600\,B^3\,a^8\,b^6\,d^2+30\,B^3\,a^6\,b^8\,d^2-224\,B^3\,a^4\,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{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(72\,B^2\,a^{15}\,d^2+480\,B^2\,a^{13}\,b^2\,d^2+1132\,B^2\,a^{11}\,b^4\,d^2+1108\,B^2\,a^9\,b^6\,d^2+448\,B^2\,a^7\,b^8\,d^2+72\,B^2\,a^5\,b^{10}\,d^2-52\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(56\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+600\,B\,a^9\,b^7\,d^4+640\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+96\,B\,a^3\,b^{13}\,d^4+8\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}\right)\,\sqrt{-4\,\left(9\,B^2\,a^9+42\,B^2\,a^7\,b^2+49\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(16\,B^3\,a^{14}\,b\,d^2+148\,B^3\,a^{12}\,b^3\,d^2+320\,B^3\,a^{10}\,b^5\,d^2-120\,B^3\,a^8\,b^7\,d^2-304\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,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{\left(\frac{8\,\left(96\,B\,a^{13}\,b^4\,d^4+480\,B\,a^{11}\,b^6\,d^4+960\,B\,a^9\,b^8\,d^4+960\,B\,a^7\,b^{10}\,d^4+480\,B\,a^5\,b^{12}\,d^4+96\,B\,a^3\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{15}\,b\,d^2+100\,B^2\,a^{13}\,b^3\,d^2+380\,B^2\,a^{11}\,b^5\,d^2+424\,B^2\,a^9\,b^7\,d^2+128\,B^2\,a^7\,b^9\,d^2+52\,B^2\,a^5\,b^{11}\,d^2+60\,B^2\,a^3\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+9\,B^4\,a^{12}\,b^2+15\,B^4\,a^{10}\,b^4-27\,B^4\,a^8\,b^6-4\,B^4\,a^6\,b^8-2\,B^4\,a^4\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{\left(\frac{\left(\frac{8\,\left(16\,B^3\,a^{14}\,b\,d^2+148\,B^3\,a^{12}\,b^3\,d^2+320\,B^3\,a^{10}\,b^5\,d^2-120\,B^3\,a^8\,b^7\,d^2-304\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,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{\left(\frac{8\,\left(96\,B\,a^{13}\,b^4\,d^4+480\,B\,a^{11}\,b^6\,d^4+960\,B\,a^9\,b^8\,d^4+960\,B\,a^7\,b^{10}\,d^4+480\,B\,a^5\,b^{12}\,d^4+96\,B\,a^3\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{15}\,b\,d^2+100\,B^2\,a^{13}\,b^3\,d^2+380\,B^2\,a^{11}\,b^5\,d^2+424\,B^2\,a^9\,b^7\,d^2+128\,B^2\,a^7\,b^9\,d^2+52\,B^2\,a^5\,b^{11}\,d^2+60\,B^2\,a^3\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+9\,B^4\,a^{12}\,b^2+15\,B^4\,a^{10}\,b^4-27\,B^4\,a^8\,b^6-4\,B^4\,a^6\,b^8-2\,B^4\,a^4\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{\frac{16\,\left(B^5\,a^{13}+10\,B^5\,a^{11}\,b^2+27\,B^5\,a^9\,b^4+10\,B^5\,a^7\,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(\frac{\left(\frac{8\,\left(16\,B^3\,a^{14}\,b\,d^2+148\,B^3\,a^{12}\,b^3\,d^2+320\,B^3\,a^{10}\,b^5\,d^2-120\,B^3\,a^8\,b^7\,d^2-304\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,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{\left(\frac{8\,\left(96\,B\,a^{13}\,b^4\,d^4+480\,B\,a^{11}\,b^6\,d^4+960\,B\,a^9\,b^8\,d^4+960\,B\,a^7\,b^{10}\,d^4+480\,B\,a^5\,b^{12}\,d^4+96\,B\,a^3\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{15}\,b\,d^2+100\,B^2\,a^{13}\,b^3\,d^2+380\,B^2\,a^{11}\,b^5\,d^2+424\,B^2\,a^9\,b^7\,d^2+128\,B^2\,a^7\,b^9\,d^2+52\,B^2\,a^5\,b^{11}\,d^2+60\,B^2\,a^3\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+9\,B^4\,a^{12}\,b^2+15\,B^4\,a^{10}\,b^4-27\,B^4\,a^8\,b^6-4\,B^4\,a^6\,b^8-2\,B^4\,a^4\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}+\frac{\left(\frac{\left(\frac{8\,\left(16\,B^3\,a^{14}\,b\,d^2+148\,B^3\,a^{12}\,b^3\,d^2+320\,B^3\,a^{10}\,b^5\,d^2-120\,B^3\,a^8\,b^7\,d^2-304\,B^3\,a^6\,b^9\,d^2+4\,B^3\,a^4\,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{\left(\frac{8\,\left(96\,B\,a^{13}\,b^4\,d^4+480\,B\,a^{11}\,b^6\,d^4+960\,B\,a^9\,b^8\,d^4+960\,B\,a^7\,b^{10}\,d^4+480\,B\,a^5\,b^{12}\,d^4+96\,B\,a^3\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,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)}{\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)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8\,B^2\,a^{15}\,b\,d^2+100\,B^2\,a^{13}\,b^3\,d^2+380\,B^2\,a^{11}\,b^5\,d^2+424\,B^2\,a^9\,b^7\,d^2+128\,B^2\,a^7\,b^9\,d^2+52\,B^2\,a^5\,b^{11}\,d^2+60\,B^2\,a^3\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{14}+9\,B^4\,a^{12}\,b^2+15\,B^4\,a^{10}\,b^4-27\,B^4\,a^8\,b^6-4\,B^4\,a^6\,b^8-2\,B^4\,a^4\,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{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}{4\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}}\right)\,\sqrt{-4\,\left(B^2\,a^9+10\,B^2\,a^7\,b^2+25\,B^2\,a^5\,b^4\right)\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,b^3\,d^2+4\,a^6\,b^5\,d^2+6\,a^4\,b^7\,d^2+4\,a^2\,b^9\,d^2+b^{11}\,d^2\right)}","Not used",1,"(log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*B*a^3*b^3*(a^2 + b^2))/d)*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^4*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*d^4*(a^2 + b^2)^4))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*B^5*a^7*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4))*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*B*a^3*b^3*(a^2 + b^2))/d)*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^4*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*d^4*(a^2 + b^2)^4))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*B^5*a^7*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4))*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2))/4 - log((8*B^5*a^7*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*B*a^3*b^3*(a^2 + b^2))/d)*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^4*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^4*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*d^4*(a^2 + b^2)^4))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((8*B^5*a^7*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(b*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*B*a^3*b^3*(a^2 + b^2))/d)*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^4*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^4*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*d^4*(a^2 + b^2)^4))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*a*b^3*(7*a^4 + b^4 + 8*a^2*b^2))/d)*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*(127*a^2*b^6 - 112*b^8 - 9*a^8 + 173*a^4*b^4 + 21*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b*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))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^7*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*a*b^3*(7*a^4 + b^4 + 8*a^2*b^2))/d)*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*(127*a^2*b^6 - 112*b^8 - 9*a^8 + 173*a^4*b^4 + 21*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b*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))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^7*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*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))^(1/2))/4 - log(- ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*a*b^3*(7*a^4 + b^4 + 8*a^2*b^2))/d)*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^4*(127*a^2*b^6 - 112*b^8 - 9*a^8 + 173*a^4*b^4 + 21*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b*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))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^7*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log(- ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*a*b^3*(7*a^4 + b^4 + 8*a^2*b^2))/d)*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*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))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^4*(127*a^2*b^6 - 112*b^8 - 9*a^8 + 173*a^4*b^4 + 21*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b*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))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^5*a^3*b^7*(3*a^2 + 7*b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - (atan(((((16*tan(c + d*x)^(1/2)*(2*B^4*b^13 + 9*B^4*a^12*b + 4*B^4*a^2*b^11 + 2*B^4*a^4*b^9 - 49*B^4*a^6*b^7 + 7*B^4*a^8*b^5 + 33*B^4*a^10*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*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*a^12*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) - (((16*tan(c + d*x)^(1/2)*(72*B^2*a^15*d^2 - 52*B^2*a^3*b^12*d^2 + 72*B^2*a^5*b^10*d^2 + 448*B^2*a^7*b^8*d^2 + 1108*B^2*a^9*b^6*d^2 + 1132*B^2*a^11*b^4*d^2 + 480*B^2*a^13*b^2*d^2 - 60*B^2*a*b^14*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*(8*B*a*b^15*d^4 + 96*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 640*B*a^7*b^9*d^4 + 600*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 56*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (((16*tan(c + d*x)^(1/2)*(2*B^4*b^13 + 9*B^4*a^12*b + 4*B^4*a^2*b^11 + 2*B^4*a^4*b^9 - 49*B^4*a^6*b^7 + 7*B^4*a^8*b^5 + 33*B^4*a^10*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*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*a^12*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) + (((16*tan(c + d*x)^(1/2)*(72*B^2*a^15*d^2 - 52*B^2*a^3*b^12*d^2 + 72*B^2*a^5*b^10*d^2 + 448*B^2*a^7*b^8*d^2 + 1108*B^2*a^9*b^6*d^2 + 1132*B^2*a^11*b^4*d^2 + 480*B^2*a^13*b^2*d^2 - 60*B^2*a*b^14*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*(8*B*a*b^15*d^4 + 96*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 640*B*a^7*b^9*d^4 + 600*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 56*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))/((32*(7*B^5*a^3*b^9 + 3*B^5*a^5*b^7))/(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)*(2*B^4*b^13 + 9*B^4*a^12*b + 4*B^4*a^2*b^11 + 2*B^4*a^4*b^9 - 49*B^4*a^6*b^7 + 7*B^4*a^8*b^5 + 33*B^4*a^10*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*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*a^12*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) - (((16*tan(c + d*x)^(1/2)*(72*B^2*a^15*d^2 - 52*B^2*a^3*b^12*d^2 + 72*B^2*a^5*b^10*d^2 + 448*B^2*a^7*b^8*d^2 + 1108*B^2*a^9*b^6*d^2 + 1132*B^2*a^11*b^4*d^2 + 480*B^2*a^13*b^2*d^2 - 60*B^2*a*b^14*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*(8*B*a*b^15*d^4 + 96*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 640*B*a^7*b^9*d^4 + 600*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 56*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (((16*tan(c + d*x)^(1/2)*(2*B^4*b^13 + 9*B^4*a^12*b + 4*B^4*a^2*b^11 + 2*B^4*a^4*b^9 - 49*B^4*a^6*b^7 + 7*B^4*a^8*b^5 + 33*B^4*a^10*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*(30*B^3*a^6*b^8*d^2 - 224*B^3*a^4*b^10*d^2 - 18*B^3*a^14*d^2 + 600*B^3*a^8*b^6*d^2 + 388*B^3*a^10*b^4*d^2 + 24*B^3*a^12*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) + (((16*tan(c + d*x)^(1/2)*(72*B^2*a^15*d^2 - 52*B^2*a^3*b^12*d^2 + 72*B^2*a^5*b^10*d^2 + 448*B^2*a^7*b^8*d^2 + 1108*B^2*a^9*b^6*d^2 + 1132*B^2*a^11*b^4*d^2 + 480*B^2*a^13*b^2*d^2 - 60*B^2*a*b^14*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*(8*B*a*b^15*d^4 + 96*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 640*B*a^7*b^9*d^4 + 600*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 56*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))))*(-4*(9*B^2*a^9 + 49*B^2*a^5*b^4 + 42*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(2*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (atan(((((((8*(4*B^3*a^4*b^11*d^2 - 304*B^3*a^6*b^9*d^2 - 120*B^3*a^8*b^7*d^2 + 320*B^3*a^10*b^5*d^2 + 148*B^3*a^12*b^3*d^2 + 16*B^3*a^14*b*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) + (((((8*(96*B*a^3*b^14*d^4 + 480*B*a^5*b^12*d^4 + 960*B*a^7*b^10*d^4 + 960*B*a^9*b^8*d^4 + 480*B*a^11*b^6*d^4 + 96*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(60*B^2*a^3*b^13*d^2 + 52*B^2*a^5*b^11*d^2 + 128*B^2*a^7*b^9*d^2 + 424*B^2*a^9*b^7*d^2 + 380*B^2*a^11*b^5*d^2 + 100*B^2*a^13*b^3*d^2 + 8*B^2*a^15*b*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(B^4*a^14 - 2*B^4*a^4*b^10 - 4*B^4*a^6*b^8 - 27*B^4*a^8*b^6 + 15*B^4*a^10*b^4 + 9*B^4*a^12*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (((((8*(4*B^3*a^4*b^11*d^2 - 304*B^3*a^6*b^9*d^2 - 120*B^3*a^8*b^7*d^2 + 320*B^3*a^10*b^5*d^2 + 148*B^3*a^12*b^3*d^2 + 16*B^3*a^14*b*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) + (((((8*(96*B*a^3*b^14*d^4 + 480*B*a^5*b^12*d^4 + 960*B*a^7*b^10*d^4 + 960*B*a^9*b^8*d^4 + 480*B*a^11*b^6*d^4 + 96*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(60*B^2*a^3*b^13*d^2 + 52*B^2*a^5*b^11*d^2 + 128*B^2*a^7*b^9*d^2 + 424*B^2*a^9*b^7*d^2 + 380*B^2*a^11*b^5*d^2 + 100*B^2*a^13*b^3*d^2 + 8*B^2*a^15*b*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(B^4*a^14 - 2*B^4*a^4*b^10 - 4*B^4*a^6*b^8 - 27*B^4*a^8*b^6 + 15*B^4*a^10*b^4 + 9*B^4*a^12*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))/((16*(B^5*a^13 + 10*B^5*a^7*b^6 + 27*B^5*a^9*b^4 + 10*B^5*a^11*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) + (((((8*(4*B^3*a^4*b^11*d^2 - 304*B^3*a^6*b^9*d^2 - 120*B^3*a^8*b^7*d^2 + 320*B^3*a^10*b^5*d^2 + 148*B^3*a^12*b^3*d^2 + 16*B^3*a^14*b*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) + (((((8*(96*B*a^3*b^14*d^4 + 480*B*a^5*b^12*d^4 + 960*B*a^7*b^10*d^4 + 960*B*a^9*b^8*d^4 + 480*B*a^11*b^6*d^4 + 96*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(60*B^2*a^3*b^13*d^2 + 52*B^2*a^5*b^11*d^2 + 128*B^2*a^7*b^9*d^2 + 424*B^2*a^9*b^7*d^2 + 380*B^2*a^11*b^5*d^2 + 100*B^2*a^13*b^3*d^2 + 8*B^2*a^15*b*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (16*tan(c + d*x)^(1/2)*(B^4*a^14 - 2*B^4*a^4*b^10 - 4*B^4*a^6*b^8 - 27*B^4*a^8*b^6 + 15*B^4*a^10*b^4 + 9*B^4*a^12*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (((((8*(4*B^3*a^4*b^11*d^2 - 304*B^3*a^6*b^9*d^2 - 120*B^3*a^8*b^7*d^2 + 320*B^3*a^10*b^5*d^2 + 148*B^3*a^12*b^3*d^2 + 16*B^3*a^14*b*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) + (((((8*(96*B*a^3*b^14*d^4 + 480*B*a^5*b^12*d^4 + 960*B*a^7*b^10*d^4 + 960*B*a^9*b^8*d^4 + 480*B*a^11*b^6*d^4 + 96*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*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)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(60*B^2*a^3*b^13*d^2 + 52*B^2*a^5*b^11*d^2 + 128*B^2*a^7*b^9*d^2 + 424*B^2*a^9*b^7*d^2 + 380*B^2*a^11*b^5*d^2 + 100*B^2*a^13*b^3*d^2 + 8*B^2*a^15*b*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) - (16*tan(c + d*x)^(1/2)*(B^4*a^14 - 2*B^4*a^4*b^10 - 4*B^4*a^6*b^8 - 27*B^4*a^8*b^6 + 15*B^4*a^10*b^4 + 9*B^4*a^12*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))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2))/(4*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))))*(-4*(B^2*a^9 + 25*B^2*a^5*b^4 + 10*B^2*a^7*b^2)*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2))^(1/2)*1i)/(2*(b^11*d^2 + 4*a^2*b^9*d^2 + 6*a^4*b^7*d^2 + 4*a^6*b^5*d^2 + a^8*b^3*d^2)) + (2*B*tan(c + d*x)^(1/2))/(b*d) + (B*a^3*tan(c + d*x)^(1/2))/((a*b*d + b^2*d*tan(c + d*x))*(a^2 + b^2)) - (B*a^3*tan(c + d*x)^(1/2))/(b*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
423,1,16878,237,32.871462,"\text{Not used}","int((tan(c + d*x)^(3/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,B\,a^2\,b^4\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^3\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^3\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,B^5\,a^2\,b^4\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{768\,B\,a^2\,b^4\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^3\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^3\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{8\,B^5\,a^2\,b^4\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{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}}}{4}-\ln\left(\frac{8\,B^5\,a^2\,b^4\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,B\,a^2\,b^4\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,b^3\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^3\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{8\,B^5\,a^2\,b^4\,\left(a^6+10\,a^4\,b^2+27\,a^2\,b^4+10\,b^6\right)}{d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{768\,B\,a^2\,b^4\,\left(a^2+b^2\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,a^8+21\,a^6\,b^2+51\,a^4\,b^4-17\,a^2\,b^6+15\,b^8\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,b^3\,\left(4\,a^8+33\,a^6\,b^2+47\,a^4\,b^4-77\,a^2\,b^6+b^8\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^3\,\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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,a^2\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^5\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^4\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,a^6\,b^4\,\left(a^2-3\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,a^2\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^5\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^4\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,a^6\,b^4\,\left(a^2-3\,b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}}{4}-\ln\left(\frac{16\,B^5\,a^6\,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(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,a^2\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^5\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^4\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{16\,B^5\,a^6\,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(128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,a^2\,b^2\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^5\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^4\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{\left(\frac{16\,\left(2\,B^3\,a^{13}\,b\,d^2-24\,B^3\,a^{11}\,b^3\,d^2+60\,B^3\,a^9\,b^5\,d^2+8\,B^3\,a^7\,b^7\,d^2-78\,B^3\,a^5\,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\,B^2\,a^{13}\,b^2\,d^2-44\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2+168\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2-60\,B^2\,a^3\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+120\,B\,a^{10}\,b^6\,d^4+320\,B\,a^8\,b^8\,d^4+360\,B\,a^6\,b^{10}\,d^4+192\,B\,a^4\,b^{12}\,d^4+40\,B\,a^2\,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)}\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{12}\,b-7\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-5\,B^4\,a^6\,b^7+2\,B^4\,a^4\,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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}-\frac{\left(\frac{\left(\frac{16\,\left(2\,B^3\,a^{13}\,b\,d^2-24\,B^3\,a^{11}\,b^3\,d^2+60\,B^3\,a^9\,b^5\,d^2+8\,B^3\,a^7\,b^7\,d^2-78\,B^3\,a^5\,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\,B^2\,a^{13}\,b^2\,d^2-44\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2+168\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2-60\,B^2\,a^3\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+120\,B\,a^{10}\,b^6\,d^4+320\,B\,a^8\,b^8\,d^4+360\,B\,a^6\,b^{10}\,d^4+192\,B\,a^4\,b^{12}\,d^4+40\,B\,a^2\,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)}\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{12}\,b-7\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-5\,B^4\,a^6\,b^7+2\,B^4\,a^4\,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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}}{\frac{\left(\frac{\left(\frac{16\,\left(2\,B^3\,a^{13}\,b\,d^2-24\,B^3\,a^{11}\,b^3\,d^2+60\,B^3\,a^9\,b^5\,d^2+8\,B^3\,a^7\,b^7\,d^2-78\,B^3\,a^5\,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\,B^2\,a^{13}\,b^2\,d^2-44\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2+168\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2-60\,B^2\,a^3\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+120\,B\,a^{10}\,b^6\,d^4+320\,B\,a^8\,b^8\,d^4+360\,B\,a^6\,b^{10}\,d^4+192\,B\,a^4\,b^{12}\,d^4+40\,B\,a^2\,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)}\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{12}\,b-7\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-5\,B^4\,a^6\,b^7+2\,B^4\,a^4\,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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}-\frac{32\,\left(3\,B^5\,a^6\,b^6-B^5\,a^8\,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{\left(\frac{\left(\frac{16\,\left(2\,B^3\,a^{13}\,b\,d^2-24\,B^3\,a^{11}\,b^3\,d^2+60\,B^3\,a^9\,b^5\,d^2+8\,B^3\,a^7\,b^7\,d^2-78\,B^3\,a^5\,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\,B^2\,a^{13}\,b^2\,d^2-44\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2+168\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2-60\,B^2\,a^3\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+120\,B\,a^{10}\,b^6\,d^4+320\,B\,a^8\,b^8\,d^4+360\,B\,a^6\,b^{10}\,d^4+192\,B\,a^4\,b^{12}\,d^4+40\,B\,a^2\,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)}\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^{12}\,b-7\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-5\,B^4\,a^6\,b^7+2\,B^4\,a^4\,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)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}}\right)\,\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,1{}\mathrm{i}}{\sqrt{-\left(B^2\,a^7-6\,B^2\,a^5\,b^2+9\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}-\frac{\mathrm{atan}\left(-\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-B^4\,a^{10}\,b^3-9\,B^4\,a^8\,b^5-15\,B^4\,a^6\,b^7+27\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{8\,\left(16\,B^3\,a^{11}\,b^3\,d^2+148\,B^3\,a^9\,b^5\,d^2+320\,B^3\,a^7\,b^7\,d^2-120\,B^3\,a^5\,b^9\,d^2-304\,B^3\,a^3\,b^{11}\,d^2+4\,B^3\,a\,b^{13}\,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(8\,B^2\,a^{13}\,b^2\,d^2+100\,B^2\,a^{11}\,b^4\,d^2+380\,B^2\,a^9\,b^6\,d^2+424\,B^2\,a^7\,b^8\,d^2+128\,B^2\,a^5\,b^{10}\,d^2+52\,B^2\,a^3\,b^{12}\,d^2+60\,B^2\,a\,b^{14}\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,a^2\,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)}\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-B^4\,a^{10}\,b^3-9\,B^4\,a^8\,b^5-15\,B^4\,a^6\,b^7+27\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{8\,\left(16\,B^3\,a^{11}\,b^3\,d^2+148\,B^3\,a^9\,b^5\,d^2+320\,B^3\,a^7\,b^7\,d^2-120\,B^3\,a^5\,b^9\,d^2-304\,B^3\,a^3\,b^{11}\,d^2+4\,B^3\,a\,b^{13}\,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(8\,B^2\,a^{13}\,b^2\,d^2+100\,B^2\,a^{11}\,b^4\,d^2+380\,B^2\,a^9\,b^6\,d^2+424\,B^2\,a^7\,b^8\,d^2+128\,B^2\,a^5\,b^{10}\,d^2+52\,B^2\,a^3\,b^{12}\,d^2+60\,B^2\,a\,b^{14}\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,a^2\,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)}\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}}{\frac{16\,\left(B^5\,a^8\,b^4+10\,B^5\,a^6\,b^6+27\,B^5\,a^4\,b^8+10\,B^5\,a^2\,b^{10}\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(-B^4\,a^{10}\,b^3-9\,B^4\,a^8\,b^5-15\,B^4\,a^6\,b^7+27\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{8\,\left(16\,B^3\,a^{11}\,b^3\,d^2+148\,B^3\,a^9\,b^5\,d^2+320\,B^3\,a^7\,b^7\,d^2-120\,B^3\,a^5\,b^9\,d^2-304\,B^3\,a^3\,b^{11}\,d^2+4\,B^3\,a\,b^{13}\,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(8\,B^2\,a^{13}\,b^2\,d^2+100\,B^2\,a^{11}\,b^4\,d^2+380\,B^2\,a^9\,b^6\,d^2+424\,B^2\,a^7\,b^8\,d^2+128\,B^2\,a^5\,b^{10}\,d^2+52\,B^2\,a^3\,b^{12}\,d^2+60\,B^2\,a\,b^{14}\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,a^2\,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)}\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-B^4\,a^{10}\,b^3-9\,B^4\,a^8\,b^5-15\,B^4\,a^6\,b^7+27\,B^4\,a^4\,b^9+4\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{8\,\left(16\,B^3\,a^{11}\,b^3\,d^2+148\,B^3\,a^9\,b^5\,d^2+320\,B^3\,a^7\,b^7\,d^2-120\,B^3\,a^5\,b^9\,d^2-304\,B^3\,a^3\,b^{11}\,d^2+4\,B^3\,a\,b^{13}\,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(8\,B^2\,a^{13}\,b^2\,d^2+100\,B^2\,a^{11}\,b^4\,d^2+380\,B^2\,a^9\,b^6\,d^2+424\,B^2\,a^7\,b^8\,d^2+128\,B^2\,a^5\,b^{10}\,d^2+52\,B^2\,a^3\,b^{12}\,d^2+60\,B^2\,a\,b^{14}\,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{\left(\frac{8\,\left(96\,B\,a^{12}\,b^4\,d^4+480\,B\,a^{10}\,b^6\,d^4+960\,B\,a^8\,b^8\,d^4+960\,B\,a^6\,b^{10}\,d^4+480\,B\,a^4\,b^{12}\,d^4+96\,B\,a^2\,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)}\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\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)}{\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\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)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)}{2\,\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}}\right)\,\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,1{}\mathrm{i}}{\sqrt{-\left(B^2\,a^7+10\,B^2\,a^5\,b^2+25\,B^2\,a^3\,b^4\right)\,\left(a^8\,b\,d^2+4\,a^6\,b^3\,d^2+6\,a^4\,b^5\,d^2+4\,a^2\,b^7\,d^2+b^9\,d^2\right)}}","Not used",1,"(log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*B*a^2*b^4*(a^2 + b^2))/d)*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^3*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^3*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))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*B^5*a^2*b^4*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (768*B*a^2*b^4*(a^2 + b^2))/d)*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^3*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^3*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))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (8*B^5*a^2*b^4*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*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))^(1/2))/4 - log((8*B^5*a^2*b^4*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*B*a^2*b^4*(a^2 + b^2))/d)*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*b^3*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^3*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))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((8*B^5*a^2*b^4*(a^6 + 10*b^6 + 27*a^2*b^4 + 10*a^4*b^2))/(d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (768*B*a^2*b^4*(a^2 + b^2))/d)*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^2*tan(c + d*x)^(1/2)*(2*a^8 + 15*b^8 - 17*a^2*b^6 + 51*a^4*b^4 + 21*a^6*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*b^3*(4*a^8 + b^8 - 77*a^2*b^6 + 47*a^4*b^4 + 33*a^6*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^3*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))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*a^2*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*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))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^5*b*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^4*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))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*a^6*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*a^2*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*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))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^5*b*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^4*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))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*a^6*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2))/4 - log((16*B^5*a^6*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*a^2*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*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))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^5*b*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^4*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))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((16*B^5*a^6*b^4*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*a^2*b^2*(5*b^4 - a^4 + 4*a^2*b^2))/d)*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*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))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^5*b*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^4*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))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - (atan(-((((((16*(8*B^3*a^7*b^7*d^2 - 78*B^3*a^5*b^9*d^2 + 60*B^3*a^9*b^5*d^2 - 24*B^3*a^11*b^3*d^2 + 2*B^3*a^13*b*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*B^2*a^5*b^10*d^2 - 60*B^2*a^3*b^12*d^2 + 168*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 - 44*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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*(40*B*a^2*b^14*d^4 + 192*B*a^4*b^12*d^4 + 360*B*a^6*b^10*d^4 + 320*B*a^8*b^8*d^4 + 120*B*a^10*b^6*d^4 - 8*B*a^14*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)*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*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^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) + (16*tan(c + d*x)^(1/2)*(B^4*a^12*b + 2*B^4*a^4*b^9 - 5*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 7*B^4*a^10*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))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*1i)/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) - (((((16*(8*B^3*a^7*b^7*d^2 - 78*B^3*a^5*b^9*d^2 + 60*B^3*a^9*b^5*d^2 - 24*B^3*a^11*b^3*d^2 + 2*B^3*a^13*b*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*B^2*a^5*b^10*d^2 - 60*B^2*a^3*b^12*d^2 + 168*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 - 44*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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*(40*B*a^2*b^14*d^4 + 192*B*a^4*b^12*d^4 + 360*B*a^6*b^10*d^4 + 320*B*a^8*b^8*d^4 + 120*B*a^10*b^6*d^4 - 8*B*a^14*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)*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*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^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) - (16*tan(c + d*x)^(1/2)*(B^4*a^12*b + 2*B^4*a^4*b^9 - 5*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 7*B^4*a^10*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))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*1i)/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))/((((((16*(8*B^3*a^7*b^7*d^2 - 78*B^3*a^5*b^9*d^2 + 60*B^3*a^9*b^5*d^2 - 24*B^3*a^11*b^3*d^2 + 2*B^3*a^13*b*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*B^2*a^5*b^10*d^2 - 60*B^2*a^3*b^12*d^2 + 168*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 - 44*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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*(40*B*a^2*b^14*d^4 + 192*B*a^4*b^12*d^4 + 360*B*a^6*b^10*d^4 + 320*B*a^8*b^8*d^4 + 120*B*a^10*b^6*d^4 - 8*B*a^14*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)*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*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^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) + (16*tan(c + d*x)^(1/2)*(B^4*a^12*b + 2*B^4*a^4*b^9 - 5*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 7*B^4*a^10*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))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) - (32*(3*B^5*a^6*b^6 - B^5*a^8*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) + (((((16*(8*B^3*a^7*b^7*d^2 - 78*B^3*a^5*b^9*d^2 + 60*B^3*a^9*b^5*d^2 - 24*B^3*a^11*b^3*d^2 + 2*B^3*a^13*b*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*B^2*a^5*b^10*d^2 - 60*B^2*a^3*b^12*d^2 + 168*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 - 44*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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*(40*B*a^2*b^14*d^4 + 192*B*a^4*b^12*d^4 + 360*B*a^6*b^10*d^4 + 320*B*a^8*b^8*d^4 + 120*B*a^10*b^6*d^4 - 8*B*a^14*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)*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*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^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) - (16*tan(c + d*x)^(1/2)*(B^4*a^12*b + 2*B^4*a^4*b^9 - 5*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 7*B^4*a^10*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))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))))*(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*1i)/(-(B^2*a^7 + 9*B^2*a^3*b^4 - 6*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2) - (atan(-((((16*tan(c + d*x)^(1/2)*(2*B^4*b^13 + 4*B^4*a^2*b^11 + 27*B^4*a^4*b^9 - 15*B^4*a^6*b^7 - 9*B^4*a^8*b^5 - B^4*a^10*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) - (((8*(320*B^3*a^7*b^7*d^2 - 120*B^3*a^5*b^9*d^2 - 304*B^3*a^3*b^11*d^2 + 148*B^3*a^9*b^5*d^2 + 16*B^3*a^11*b^3*d^2 + 4*B^3*a*b^13*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)*(52*B^2*a^3*b^12*d^2 + 128*B^2*a^5*b^10*d^2 + 424*B^2*a^7*b^8*d^2 + 380*B^2*a^9*b^6*d^2 + 100*B^2*a^11*b^4*d^2 + 8*B^2*a^13*b^2*d^2 + 60*B^2*a*b^14*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) + (((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*a^12*b^4*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)*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*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^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*1i)/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) + (((16*tan(c + d*x)^(1/2)*(2*B^4*b^13 + 4*B^4*a^2*b^11 + 27*B^4*a^4*b^9 - 15*B^4*a^6*b^7 - 9*B^4*a^8*b^5 - B^4*a^10*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) + (((8*(320*B^3*a^7*b^7*d^2 - 120*B^3*a^5*b^9*d^2 - 304*B^3*a^3*b^11*d^2 + 148*B^3*a^9*b^5*d^2 + 16*B^3*a^11*b^3*d^2 + 4*B^3*a*b^13*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)*(52*B^2*a^3*b^12*d^2 + 128*B^2*a^5*b^10*d^2 + 424*B^2*a^7*b^8*d^2 + 380*B^2*a^9*b^6*d^2 + 100*B^2*a^11*b^4*d^2 + 8*B^2*a^13*b^2*d^2 + 60*B^2*a*b^14*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) - (((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*a^12*b^4*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)*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*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^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*1i)/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))/((16*(10*B^5*a^2*b^10 + 27*B^5*a^4*b^8 + 10*B^5*a^6*b^6 + B^5*a^8*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) - (((16*tan(c + d*x)^(1/2)*(2*B^4*b^13 + 4*B^4*a^2*b^11 + 27*B^4*a^4*b^9 - 15*B^4*a^6*b^7 - 9*B^4*a^8*b^5 - B^4*a^10*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) - (((8*(320*B^3*a^7*b^7*d^2 - 120*B^3*a^5*b^9*d^2 - 304*B^3*a^3*b^11*d^2 + 148*B^3*a^9*b^5*d^2 + 16*B^3*a^11*b^3*d^2 + 4*B^3*a*b^13*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)*(52*B^2*a^3*b^12*d^2 + 128*B^2*a^5*b^10*d^2 + 424*B^2*a^7*b^8*d^2 + 380*B^2*a^9*b^6*d^2 + 100*B^2*a^11*b^4*d^2 + 8*B^2*a^13*b^2*d^2 + 60*B^2*a*b^14*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) + (((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*a^12*b^4*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)*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*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^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)) + (((16*tan(c + d*x)^(1/2)*(2*B^4*b^13 + 4*B^4*a^2*b^11 + 27*B^4*a^4*b^9 - 15*B^4*a^6*b^7 - 9*B^4*a^8*b^5 - B^4*a^10*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) + (((8*(320*B^3*a^7*b^7*d^2 - 120*B^3*a^5*b^9*d^2 - 304*B^3*a^3*b^11*d^2 + 148*B^3*a^9*b^5*d^2 + 16*B^3*a^11*b^3*d^2 + 4*B^3*a*b^13*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)*(52*B^2*a^3*b^12*d^2 + 128*B^2*a^5*b^10*d^2 + 424*B^2*a^7*b^8*d^2 + 380*B^2*a^9*b^6*d^2 + 100*B^2*a^11*b^4*d^2 + 8*B^2*a^13*b^2*d^2 + 60*B^2*a*b^14*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) - (((8*(96*B*a^2*b^14*d^4 + 480*B*a^4*b^12*d^4 + 960*B*a^6*b^10*d^4 + 960*B*a^8*b^8*d^4 + 480*B*a^10*b^6*d^4 + 96*B*a^12*b^4*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)*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*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^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)*(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)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2))/(2*(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2))))*(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*1i)/(-(B^2*a^7 + 25*B^2*a^3*b^4 + 10*B^2*a^5*b^2)*(b^9*d^2 + a^8*b*d^2 + 4*a^2*b^7*d^2 + 6*a^4*b^5*d^2 + 4*a^6*b^3*d^2))^(1/2)","B"
424,1,17323,237,31.520215,"\text{Not used}","int((tan(c + d*x)^(1/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,a\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a^3\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^4\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,a^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,a\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a^3\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^4\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,a^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}}{4}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,a\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^4\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,a^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,a\,b^3\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a^3\,b^2\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a^4\,b^2\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^4\,b^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,a^5\,b^3\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(\frac{16\,B^5\,a\,b^9\,\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\,B\,a\,b^3\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^5\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{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}}}{4}+\frac{\ln\left(\frac{16\,B^5\,a\,b^9\,\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\,B\,a\,b^3\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^5\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{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}}}{4}-\ln\left(\frac{16\,B^5\,a\,b^9\,\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\,B\,a\,b^3\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b^5\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{16\,B^5\,a\,b^9\,\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\,B\,a\,b^3\,\left(-a^4+4\,a^2\,b^2+5\,b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b^5\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-3\,B^4\,a^6\,b^7+3\,B^4\,a^4\,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{8\,\left(4\,B^3\,a^{12}\,b^2\,d^2+160\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2-128\,B^3\,a^6\,b^8\,d^2+52\,B^3\,a^4\,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\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+480\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4-96\,B\,a^3\,b^{13}\,d^4-32\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{13}\,b^2\,d^2+84\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2-88\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2+68\,B^2\,a^3\,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{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-3\,B^4\,a^6\,b^7+3\,B^4\,a^4\,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{8\,\left(4\,B^3\,a^{12}\,b^2\,d^2+160\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2-128\,B^3\,a^6\,b^8\,d^2+52\,B^3\,a^4\,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\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+480\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4-96\,B\,a^3\,b^{13}\,d^4-32\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{13}\,b^2\,d^2+84\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2-88\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2+68\,B^2\,a^3\,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{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{\frac{16\,\left(B^5\,a^5\,b^7-9\,B^5\,a^9\,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{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-3\,B^4\,a^6\,b^7+3\,B^4\,a^4\,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{8\,\left(4\,B^3\,a^{12}\,b^2\,d^2+160\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2-128\,B^3\,a^6\,b^8\,d^2+52\,B^3\,a^4\,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\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+480\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4-96\,B\,a^3\,b^{13}\,d^4-32\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{13}\,b^2\,d^2+84\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2-88\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2+68\,B^2\,a^3\,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{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^{10}\,b^3+17\,B^4\,a^8\,b^5-3\,B^4\,a^6\,b^7+3\,B^4\,a^4\,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{8\,\left(4\,B^3\,a^{12}\,b^2\,d^2+160\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2-128\,B^3\,a^6\,b^8\,d^2+52\,B^3\,a^4\,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\,B\,a^{13}\,b^3\,d^4+288\,B\,a^{11}\,b^5\,d^4+480\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4-96\,B\,a^3\,b^{13}\,d^4-32\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{13}\,b^2\,d^2+84\,B^2\,a^{11}\,b^4\,d^2+40\,B^2\,a^9\,b^6\,d^2-88\,B^2\,a^7\,b^8\,d^2+20\,B^2\,a^5\,b^{10}\,d^2+68\,B^2\,a^3\,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{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}\right)\,\sqrt{-4\,\left(9\,B^2\,a^5\,b-6\,B^2\,a^3\,b^3+B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{16\,\left(2\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2+60\,B^3\,a^6\,b^8\,d^2+8\,B^3\,a^4\,b^{10}\,d^2-78\,B^3\,a^2\,b^{12}\,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{16\,\left(-8\,B\,a^{13}\,b^3\,d^4+120\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+192\,B\,a^3\,b^{13}\,d^4+40\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2-44\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2+168\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b^5-7\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-5\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{\left(\frac{\left(\frac{16\,\left(2\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2+60\,B^3\,a^6\,b^8\,d^2+8\,B^3\,a^4\,b^{10}\,d^2-78\,B^3\,a^2\,b^{12}\,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{16\,\left(-8\,B\,a^{13}\,b^3\,d^4+120\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+192\,B\,a^3\,b^{13}\,d^4+40\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2-44\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2+168\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b^5-7\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-5\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{\frac{\left(\frac{\left(\frac{16\,\left(2\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2+60\,B^3\,a^6\,b^8\,d^2+8\,B^3\,a^4\,b^{10}\,d^2-78\,B^3\,a^2\,b^{12}\,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{16\,\left(-8\,B\,a^{13}\,b^3\,d^4+120\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+192\,B\,a^3\,b^{13}\,d^4+40\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2-44\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2+168\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b^5-7\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-5\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{32\,\left(3\,B^5\,a\,b^{11}-B^5\,a^3\,b^9\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{16\,\left(2\,B^3\,a^{10}\,b^4\,d^2-24\,B^3\,a^8\,b^6\,d^2+60\,B^3\,a^6\,b^8\,d^2+8\,B^3\,a^4\,b^{10}\,d^2-78\,B^3\,a^2\,b^{12}\,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{16\,\left(-8\,B\,a^{13}\,b^3\,d^4+120\,B\,a^9\,b^7\,d^4+320\,B\,a^7\,b^9\,d^4+360\,B\,a^5\,b^{11}\,d^4+192\,B\,a^3\,b^{13}\,d^4+40\,B\,a\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,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)}{\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\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)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2-44\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2+168\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2-60\,B^2\,a\,b^{14}\,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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B^4\,a^8\,b^5-7\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-5\,B^4\,a^2\,b^{11}+2\,B^4\,b^{13}\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{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}{4\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}}\right)\,\sqrt{-4\,\left(B^2\,a^5\,b-6\,B^2\,a^3\,b^3+9\,B^2\,a\,b^5\right)\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^8\,d^2+4\,a^6\,b^2\,d^2+6\,a^4\,b^4\,d^2+4\,a^2\,b^6\,d^2+b^8\,d^2\right)}","Not used",1,"(log(- (((((((((256*B*a*b^3*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a^3*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*a^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2))/4 + (log(- (((((((((256*B*a*b^3*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a^3*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*a^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2))/4 - log(- (((((((((256*B*a*b^3*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*a^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log(- (((((((((256*B*a*b^3*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a^3*b^2*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a^4*b^2*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^4*b^3*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*a^5*b^3*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log((16*B^5*a*b^9*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^3*(5*b^4 - a^4 + 4*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*b^4*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^2*b^4*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^5*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*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))^(1/2))/4 + (log((16*B^5*a*b^9*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^3*(5*b^4 - a^4 + 4*a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*b^4*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^2*b^4*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^5*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*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))^(1/2))/4 - log((16*B^5*a*b^9*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^3*(5*b^4 - a^4 + 4*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^4*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^2*b^4*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b^5*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((16*B^5*a*b^9*(a^2 - 3*b^2))/(d^5*(a^2 + b^2)^4) - (((((((((128*B*a*b^3*(5*b^4 - a^4 + 4*a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^4*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a^2*b^4*(a^6 - 39*b^6 + 43*a^2*b^4 - 13*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b^5*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (atan(((((16*tan(c + d*x)^(1/2)*(3*B^4*a^4*b^9 - 3*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 9*B^4*a^10*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) - (((8*(52*B^3*a^4*b^10*d^2 - 128*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 160*B^3*a^10*b^4*d^2 + 4*B^3*a^12*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*B*a^7*b^9*d^4 - 96*B*a^3*b^13*d^4 - 32*B*a*b^15*d^4 + 480*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 64*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(68*B^2*a^3*b^12*d^2 + 20*B^2*a^5*b^10*d^2 - 88*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 + 84*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2)*1i)/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (((16*tan(c + d*x)^(1/2)*(3*B^4*a^4*b^9 - 3*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 9*B^4*a^10*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) + (((8*(52*B^3*a^4*b^10*d^2 - 128*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 160*B^3*a^10*b^4*d^2 + 4*B^3*a^12*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*B*a^7*b^9*d^4 - 96*B*a^3*b^13*d^4 - 32*B*a*b^15*d^4 + 480*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 64*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(68*B^2*a^3*b^12*d^2 + 20*B^2*a^5*b^10*d^2 - 88*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 + 84*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2)*1i)/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))/((16*(B^5*a^5*b^7 - 9*B^5*a^9*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) + (((16*tan(c + d*x)^(1/2)*(3*B^4*a^4*b^9 - 3*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 9*B^4*a^10*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) - (((8*(52*B^3*a^4*b^10*d^2 - 128*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 160*B^3*a^10*b^4*d^2 + 4*B^3*a^12*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*B*a^7*b^9*d^4 - 96*B*a^3*b^13*d^4 - 32*B*a*b^15*d^4 + 480*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 64*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(68*B^2*a^3*b^12*d^2 + 20*B^2*a^5*b^10*d^2 - 88*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 + 84*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (((16*tan(c + d*x)^(1/2)*(3*B^4*a^4*b^9 - 3*B^4*a^6*b^7 + 17*B^4*a^8*b^5 - 9*B^4*a^10*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) + (((8*(52*B^3*a^4*b^10*d^2 - 128*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 160*B^3*a^10*b^4*d^2 + 4*B^3*a^12*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*B*a^7*b^9*d^4 - 96*B*a^3*b^13*d^4 - 32*B*a*b^15*d^4 + 480*B*a^9*b^7*d^4 + 288*B*a^11*b^5*d^4 + 64*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(68*B^2*a^3*b^12*d^2 + 20*B^2*a^5*b^10*d^2 - 88*B^2*a^7*b^8*d^2 + 40*B^2*a^9*b^6*d^2 + 84*B^2*a^11*b^4*d^2 + 4*B^2*a^13*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))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))))*(-4*(B^2*a*b^5 + 9*B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2)*1i)/(2*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (atan(((((((16*(8*B^3*a^4*b^10*d^2 - 78*B^3*a^2*b^12*d^2 + 60*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 2*B^3*a^10*b^4*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*(40*B*a*b^15*d^4 + 192*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 320*B*a^7*b^9*d^4 + 120*B*a^9*b^7*d^4 - 8*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 + 168*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 - 44*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 - 60*B^2*a*b^14*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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(2*B^4*b^13 - 5*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 7*B^4*a^6*b^7 + B^4*a^8*b^5))/(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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2)*1i)/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (((((16*(8*B^3*a^4*b^10*d^2 - 78*B^3*a^2*b^12*d^2 + 60*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 2*B^3*a^10*b^4*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*(40*B*a*b^15*d^4 + 192*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 320*B*a^7*b^9*d^4 + 120*B*a^9*b^7*d^4 - 8*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 + 168*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 - 44*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 - 60*B^2*a*b^14*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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(2*B^4*b^13 - 5*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 7*B^4*a^6*b^7 + B^4*a^8*b^5))/(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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2)*1i)/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))/((((((16*(8*B^3*a^4*b^10*d^2 - 78*B^3*a^2*b^12*d^2 + 60*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 2*B^3*a^10*b^4*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*(40*B*a*b^15*d^4 + 192*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 320*B*a^7*b^9*d^4 + 120*B*a^9*b^7*d^4 - 8*B*a^13*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) - (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 + 168*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 - 44*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 - 60*B^2*a*b^14*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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) + (16*tan(c + d*x)^(1/2)*(2*B^4*b^13 - 5*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 7*B^4*a^6*b^7 + B^4*a^8*b^5))/(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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (32*(3*B^5*a*b^11 - B^5*a^3*b^9))/(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*(8*B^3*a^4*b^10*d^2 - 78*B^3*a^2*b^12*d^2 + 60*B^3*a^6*b^8*d^2 - 24*B^3*a^8*b^6*d^2 + 2*B^3*a^10*b^4*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*(40*B*a*b^15*d^4 + 192*B*a^3*b^13*d^4 + 360*B*a^5*b^11*d^4 + 320*B*a^7*b^9*d^4 + 120*B*a^9*b^7*d^4 - 8*B*a^13*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) + (4*tan(c + d*x)^(1/2)*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*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)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 + 168*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 - 44*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 - 60*B^2*a*b^14*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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2)) - (16*tan(c + d*x)^(1/2)*(2*B^4*b^13 - 5*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 7*B^4*a^6*b^7 + B^4*a^8*b^5))/(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))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2))/(4*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))))*(-4*(9*B^2*a*b^5 + B^2*a^5*b - 6*B^2*a^3*b^3)*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))^(1/2)*1i)/(2*(a^8*d^2 + b^8*d^2 + 4*a^2*b^6*d^2 + 6*a^4*b^4*d^2 + 4*a^6*b^2*d^2))","B"
425,1,16598,237,31.620365,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(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\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{d}+128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,b^5\,\left(25\,a^6-85\,a^4\,b^2-13\,a^2\,b^4+b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^2\,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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,a^4\,b^6\,\left(5\,a^2+b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,B\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{d}+128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,b^5\,\left(25\,a^6-85\,a^4\,b^2-13\,a^2\,b^4+b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,a^2\,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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,a^4\,b^6\,\left(5\,a^2+b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}}{4}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,B\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{d}-128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,b^5\,\left(25\,a^6-85\,a^4\,b^2-13\,a^2\,b^4+b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^2\,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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,a^4\,b^6\,\left(5\,a^2+b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{128\,B\,b^2\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{d}-128\,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{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,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)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,a\,b^5\,\left(25\,a^6-85\,a^4\,b^2-13\,a^2\,b^4+b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,a^2\,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)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,a^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,a^4\,b^6\,\left(5\,a^2+b^2\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,b^4\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^5\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^8\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{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}}}{4}+\frac{\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,b^4\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}-128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{64\,B^2\,a\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^5\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{16\,B^4\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^8\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{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}}}{4}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,b^4\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^5\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^8\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(-\frac{\left(\frac{\left(\frac{\left(\frac{\left(\frac{256\,B\,b^4\,\left(2\,a^4+a^2\,b^2-b^4\right)}{d}+128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,a\,b^4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(a^6+19\,a^4\,b^2-29\,a^2\,b^4+17\,b^6\right)}{d^2\,{\left(a^2+b^2\right)}^2}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,a\,b^5\,\left(a^6+39\,a^4\,b^2-45\,a^2\,b^4+13\,b^6\right)}{d^3\,{\left(a^2+b^2\right)}^3}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9\,a^6-17\,a^4\,b^2+3\,a^2\,b^4-3\,b^6\right)}{d^4\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{8\,B^5\,b^8\,\left(9\,a^4-b^4\right)}{d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\left(\frac{8\,\left(4\,B^3\,a^9\,b^5\,d^2+160\,B^3\,a^7\,b^7\,d^2-24\,B^3\,a^5\,b^9\,d^2-128\,B^3\,a^3\,b^{11}\,d^2+52\,B^3\,a\,b^{13}\,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\,B\,a^{12}\,b^4\,d^4+288\,B\,a^{10}\,b^6\,d^4+480\,B\,a^8\,b^8\,d^4+320\,B\,a^6\,b^{10}\,d^4-96\,B\,a^2\,b^{14}\,d^4-32\,B\,b^{16}\,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)}\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2+84\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2-88\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2+68\,B^2\,a\,b^{14}\,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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-3\,B^4\,a^2\,b^{11}+3\,B^4\,b^{13}\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{\left(\frac{\left(\frac{8\,\left(4\,B^3\,a^9\,b^5\,d^2+160\,B^3\,a^7\,b^7\,d^2-24\,B^3\,a^5\,b^9\,d^2-128\,B^3\,a^3\,b^{11}\,d^2+52\,B^3\,a\,b^{13}\,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\,B\,a^{12}\,b^4\,d^4+288\,B\,a^{10}\,b^6\,d^4+480\,B\,a^8\,b^8\,d^4+320\,B\,a^6\,b^{10}\,d^4-96\,B\,a^2\,b^{14}\,d^4-32\,B\,b^{16}\,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)}\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2+84\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2-88\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2+68\,B^2\,a\,b^{14}\,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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-3\,B^4\,a^2\,b^{11}+3\,B^4\,b^{13}\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}}{\frac{\left(\frac{\left(\frac{8\,\left(4\,B^3\,a^9\,b^5\,d^2+160\,B^3\,a^7\,b^7\,d^2-24\,B^3\,a^5\,b^9\,d^2-128\,B^3\,a^3\,b^{11}\,d^2+52\,B^3\,a\,b^{13}\,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\,B\,a^{12}\,b^4\,d^4+288\,B\,a^{10}\,b^6\,d^4+480\,B\,a^8\,b^8\,d^4+320\,B\,a^6\,b^{10}\,d^4-96\,B\,a^2\,b^{14}\,d^4-32\,B\,b^{16}\,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)}\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2+84\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2-88\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2+68\,B^2\,a\,b^{14}\,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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-3\,B^4\,a^2\,b^{11}+3\,B^4\,b^{13}\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{16\,\left(B^5\,b^{12}-9\,B^5\,a^4\,b^8\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(4\,B^3\,a^9\,b^5\,d^2+160\,B^3\,a^7\,b^7\,d^2-24\,B^3\,a^5\,b^9\,d^2-128\,B^3\,a^3\,b^{11}\,d^2+52\,B^3\,a\,b^{13}\,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\,B\,a^{12}\,b^4\,d^4+288\,B\,a^{10}\,b^6\,d^4+480\,B\,a^8\,b^8\,d^4+320\,B\,a^6\,b^{10}\,d^4-96\,B\,a^2\,b^{14}\,d^4-32\,B\,b^{16}\,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)}\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(4\,B^2\,a^{11}\,b^4\,d^2+84\,B^2\,a^9\,b^6\,d^2+40\,B^2\,a^7\,b^8\,d^2-88\,B^2\,a^5\,b^{10}\,d^2+20\,B^2\,a^3\,b^{12}\,d^2+68\,B^2\,a\,b^{14}\,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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}+\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-9\,B^4\,a^6\,b^7+17\,B^4\,a^4\,b^9-3\,B^4\,a^2\,b^{11}+3\,B^4\,b^{13}\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)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}}\right)\,\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,1{}\mathrm{i}}{\sqrt{-\left(9\,B^2\,a^4\,b^3-6\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^8\,b^5+11\,B^4\,a^6\,b^7+7\,B^4\,a^4\,b^9+B^4\,a^2\,b^{11}\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(-50\,B^3\,a^9\,b^5\,d^2+120\,B^3\,a^7\,b^7\,d^2+196\,B^3\,a^5\,b^9\,d^2+24\,B^3\,a^3\,b^{11}\,d^2-2\,B^3\,a\,b^{13}\,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\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+16\,B\,a^{12}\,b^4\,d^4+216\,B\,a^{10}\,b^6\,d^4+560\,B\,a^8\,b^8\,d^4+680\,B\,a^6\,b^{10}\,d^4+432\,B\,a^4\,b^{12}\,d^4+136\,B\,a^2\,b^{14}\,d^4+16\,B\,b^{16}\,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)}\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^8\,b^5+11\,B^4\,a^6\,b^7+7\,B^4\,a^4\,b^9+B^4\,a^2\,b^{11}\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(-50\,B^3\,a^9\,b^5\,d^2+120\,B^3\,a^7\,b^7\,d^2+196\,B^3\,a^5\,b^9\,d^2+24\,B^3\,a^3\,b^{11}\,d^2-2\,B^3\,a\,b^{13}\,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\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+16\,B\,a^{12}\,b^4\,d^4+216\,B\,a^{10}\,b^6\,d^4+560\,B\,a^8\,b^8\,d^4+680\,B\,a^6\,b^{10}\,d^4+432\,B\,a^4\,b^{12}\,d^4+136\,B\,a^2\,b^{14}\,d^4+16\,B\,b^{16}\,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)}\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,1{}\mathrm{i}}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}}{\frac{32\,\left(5\,B^5\,a^6\,b^6+B^5\,a^4\,b^8\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(-27\,B^4\,a^8\,b^5+11\,B^4\,a^6\,b^7+7\,B^4\,a^4\,b^9+B^4\,a^2\,b^{11}\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(-50\,B^3\,a^9\,b^5\,d^2+120\,B^3\,a^7\,b^7\,d^2+196\,B^3\,a^5\,b^9\,d^2+24\,B^3\,a^3\,b^{11}\,d^2-2\,B^3\,a\,b^{13}\,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\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+16\,B\,a^{12}\,b^4\,d^4+216\,B\,a^{10}\,b^6\,d^4+560\,B\,a^8\,b^8\,d^4+680\,B\,a^6\,b^{10}\,d^4+432\,B\,a^4\,b^{12}\,d^4+136\,B\,a^2\,b^{14}\,d^4+16\,B\,b^{16}\,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)}\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^8\,b^5+11\,B^4\,a^6\,b^7+7\,B^4\,a^4\,b^9+B^4\,a^2\,b^{11}\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(-50\,B^3\,a^9\,b^5\,d^2+120\,B^3\,a^7\,b^7\,d^2+196\,B^3\,a^5\,b^9\,d^2+24\,B^3\,a^3\,b^{11}\,d^2-2\,B^3\,a\,b^{13}\,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\,B^2\,a^{13}\,b^2\,d^2-12\,B^2\,a^{11}\,b^4\,d^2+256\,B^2\,a^9\,b^6\,d^2+552\,B^2\,a^7\,b^8\,d^2+316\,B^2\,a^5\,b^{10}\,d^2+36\,B^2\,a^3\,b^{12}\,d^2+8\,B^2\,a\,b^{14}\,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{\left(\frac{16\,\left(-8\,B\,a^{14}\,b^2\,d^4+16\,B\,a^{12}\,b^4\,d^4+216\,B\,a^{10}\,b^6\,d^4+560\,B\,a^8\,b^8\,d^4+680\,B\,a^6\,b^{10}\,d^4+432\,B\,a^4\,b^{12}\,d^4+136\,B\,a^2\,b^{14}\,d^4+16\,B\,b^{16}\,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)}\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\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)}{\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\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)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)}{2\,\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}}\right)\,\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,1{}\mathrm{i}}{\sqrt{-\left(25\,B^2\,a^4\,b^3+10\,B^2\,a^2\,b^5+B^2\,b^7\right)\,\left(a^9\,d^2+4\,a^7\,b^2\,d^2+6\,a^5\,b^4\,d^2+4\,a^3\,b^6\,d^2+a\,b^8\,d^2\right)}}","Not used",1,"(log((((((((((128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*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))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*b^5*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^2*b^5*tan(c + d*x)^(1/2)*(b^6 - 27*a^6 + 7*a^2*b^4 + 11*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*a^4*b^6*(5*a^2 + b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2))/4 + (log((((((((((128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*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))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*b^5*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*a^2*b^5*tan(c + d*x)^(1/2)*(b^6 - 27*a^6 + 7*a^2*b^4 + 11*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*a^4*b^6*(5*a^2 + b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2))/4 - log((((((((((128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*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))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*b^5*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^2*b^5*tan(c + d*x)^(1/2)*(b^6 - 27*a^6 + 7*a^2*b^4 + 11*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*a^4*b^6*(5*a^2 + b^2))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((((((((((128*B*b^2*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*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))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*a*b^5*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*a^2*b^5*tan(c + d*x)^(1/2)*(b^6 - 27*a^6 + 7*a^2*b^4 + 11*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*a^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*a^4*b^6*(5*a^2 + b^2))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(- (((((((((256*B*b^4*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*b^4*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^5*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b^7*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^8*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*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))^(1/2))/4 + (log(- (((((((((256*B*b^4*(2*a^4 - b^4 + a^2*b^2))/d - 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (64*B^2*a*b^4*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^5*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (16*B^4*b^7*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^8*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*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))^(1/2))/4 - log(- (((((((((256*B*b^4*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^4*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^5*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^7*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^8*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log(- (((((((((256*B*b^4*(2*a^4 - b^4 + a^2*b^2))/d + 128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*a*b^4*tan(c + d*x)^(1/2)*(a^6 + 17*b^6 - 29*a^2*b^4 + 19*a^4*b^2))/(d^2*(a^2 + b^2)^2))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*a*b^5*(a^6 + 13*b^6 - 45*a^2*b^4 + 39*a^4*b^2))/(d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^7*tan(c + d*x)^(1/2)*(9*a^6 - 3*b^6 + 3*a^2*b^4 - 17*a^4*b^2))/(d^4*(a^2 + b^2)^4))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (8*B^5*b^8*(9*a^4 - b^4))/(d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (atan(((((((8*(160*B^3*a^7*b^7*d^2 - 24*B^3*a^5*b^9*d^2 - 128*B^3*a^3*b^11*d^2 + 4*B^3*a^9*b^5*d^2 + 52*B^3*a*b^13*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*B*a^6*b^10*d^4 - 96*B*a^2*b^14*d^4 - 32*B*b^16*d^4 + 480*B*a^8*b^8*d^4 + 288*B*a^10*b^6*d^4 + 64*B*a^12*b^4*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)*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(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^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) + (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 - 88*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 + 84*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 + 68*B^2*a*b^14*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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) - (16*tan(c + d*x)^(1/2)*(3*B^4*b^13 - 3*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 9*B^4*a^6*b^7))/(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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*1i)/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) - (((((8*(160*B^3*a^7*b^7*d^2 - 24*B^3*a^5*b^9*d^2 - 128*B^3*a^3*b^11*d^2 + 4*B^3*a^9*b^5*d^2 + 52*B^3*a*b^13*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*B*a^6*b^10*d^4 - 96*B*a^2*b^14*d^4 - 32*B*b^16*d^4 + 480*B*a^8*b^8*d^4 + 288*B*a^10*b^6*d^4 + 64*B*a^12*b^4*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)*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(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^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) - (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 - 88*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 + 84*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 + 68*B^2*a*b^14*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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) + (16*tan(c + d*x)^(1/2)*(3*B^4*b^13 - 3*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 9*B^4*a^6*b^7))/(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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*1i)/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))/((((((8*(160*B^3*a^7*b^7*d^2 - 24*B^3*a^5*b^9*d^2 - 128*B^3*a^3*b^11*d^2 + 4*B^3*a^9*b^5*d^2 + 52*B^3*a*b^13*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*B*a^6*b^10*d^4 - 96*B*a^2*b^14*d^4 - 32*B*b^16*d^4 + 480*B*a^8*b^8*d^4 + 288*B*a^10*b^6*d^4 + 64*B*a^12*b^4*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)*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(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^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) + (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 - 88*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 + 84*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 + 68*B^2*a*b^14*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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) - (16*tan(c + d*x)^(1/2)*(3*B^4*b^13 - 3*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 9*B^4*a^6*b^7))/(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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) - (16*(B^5*b^12 - 9*B^5*a^4*b^8))/(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*(160*B^3*a^7*b^7*d^2 - 24*B^3*a^5*b^9*d^2 - 128*B^3*a^3*b^11*d^2 + 4*B^3*a^9*b^5*d^2 + 52*B^3*a*b^13*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*B*a^6*b^10*d^4 - 96*B*a^2*b^14*d^4 - 32*B*b^16*d^4 + 480*B*a^8*b^8*d^4 + 288*B*a^10*b^6*d^4 + 64*B*a^12*b^4*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)*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(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^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) - (16*tan(c + d*x)^(1/2)*(20*B^2*a^3*b^12*d^2 - 88*B^2*a^5*b^10*d^2 + 40*B^2*a^7*b^8*d^2 + 84*B^2*a^9*b^6*d^2 + 4*B^2*a^11*b^4*d^2 + 68*B^2*a*b^14*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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) + (16*tan(c + d*x)^(1/2)*(3*B^4*b^13 - 3*B^4*a^2*b^11 + 17*B^4*a^4*b^9 - 9*B^4*a^6*b^7))/(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))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3))/(2*(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))))*(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*1i)/(-(B^2*b^7 - 6*B^2*a^2*b^5 + 9*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2) - (atan(((((16*tan(c + d*x)^(1/2)*(B^4*a^2*b^11 + 7*B^4*a^4*b^9 + 11*B^4*a^6*b^7 - 27*B^4*a^8*b^5))/(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*(24*B^3*a^3*b^11*d^2 + 196*B^3*a^5*b^9*d^2 + 120*B^3*a^7*b^7*d^2 - 50*B^3*a^9*b^5*d^2 - 2*B^3*a*b^13*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*b^16*d^4 + 136*B*a^2*b^14*d^4 + 432*B*a^4*b^12*d^4 + 680*B*a^6*b^10*d^4 + 560*B*a^8*b^8*d^4 + 216*B*a^10*b^6*d^4 + 16*B*a^12*b^4*d^4 - 8*B*a^14*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)*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(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^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*1i)/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) + (((16*tan(c + d*x)^(1/2)*(B^4*a^2*b^11 + 7*B^4*a^4*b^9 + 11*B^4*a^6*b^7 - 27*B^4*a^8*b^5))/(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*(24*B^3*a^3*b^11*d^2 + 196*B^3*a^5*b^9*d^2 + 120*B^3*a^7*b^7*d^2 - 50*B^3*a^9*b^5*d^2 - 2*B^3*a*b^13*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*b^16*d^4 + 136*B*a^2*b^14*d^4 + 432*B*a^4*b^12*d^4 + 680*B*a^6*b^10*d^4 + 560*B*a^8*b^8*d^4 + 216*B*a^10*b^6*d^4 + 16*B*a^12*b^4*d^4 - 8*B*a^14*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)*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(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^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*1i)/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))/((32*(B^5*a^4*b^8 + 5*B^5*a^6*b^6))/(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)*(B^4*a^2*b^11 + 7*B^4*a^4*b^9 + 11*B^4*a^6*b^7 - 27*B^4*a^8*b^5))/(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*(24*B^3*a^3*b^11*d^2 + 196*B^3*a^5*b^9*d^2 + 120*B^3*a^7*b^7*d^2 - 50*B^3*a^9*b^5*d^2 - 2*B^3*a*b^13*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*b^16*d^4 + 136*B*a^2*b^14*d^4 + 432*B*a^4*b^12*d^4 + 680*B*a^6*b^10*d^4 + 560*B*a^8*b^8*d^4 + 216*B*a^10*b^6*d^4 + 16*B*a^12*b^4*d^4 - 8*B*a^14*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)*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(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^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)) - (((16*tan(c + d*x)^(1/2)*(B^4*a^2*b^11 + 7*B^4*a^4*b^9 + 11*B^4*a^6*b^7 - 27*B^4*a^8*b^5))/(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*(24*B^3*a^3*b^11*d^2 + 196*B^3*a^5*b^9*d^2 + 120*B^3*a^7*b^7*d^2 - 50*B^3*a^9*b^5*d^2 - 2*B^3*a*b^13*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)*(36*B^2*a^3*b^12*d^2 + 316*B^2*a^5*b^10*d^2 + 552*B^2*a^7*b^8*d^2 + 256*B^2*a^9*b^6*d^2 - 12*B^2*a^11*b^4*d^2 - 4*B^2*a^13*b^2*d^2 + 8*B^2*a*b^14*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*(16*B*b^16*d^4 + 136*B*a^2*b^14*d^4 + 432*B*a^4*b^12*d^4 + 680*B*a^6*b^10*d^4 + 560*B*a^8*b^8*d^4 + 216*B*a^10*b^6*d^4 + 16*B*a^12*b^4*d^4 - 8*B*a^14*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)*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(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^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)*(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)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3))/(2*(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2))))*(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*1i)/(-(B^2*b^7 + 10*B^2*a^2*b^5 + 25*B^2*a^4*b^3)*(a^9*d^2 + a*b^8*d^2 + 4*a^3*b^6*d^2 + 6*a^5*b^4*d^2 + 4*a^7*b^2*d^2))^(1/2)","B"
426,1,22906,256,24.712618,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2),x)","\frac{\ln\left(\frac{\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}\,\left(\frac{\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}\,\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)-\frac{\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)}{4}+768\,B\,a^8\,b^{27}\,d^8+8704\,B\,a^{10}\,b^{25}\,d^8+44288\,B\,a^{12}\,b^{23}\,d^8+133120\,B\,a^{14}\,b^{21}\,d^8+261120\,B\,a^{16}\,b^{19}\,d^8+347136\,B\,a^{18}\,b^{17}\,d^8+311808\,B\,a^{20}\,b^{15}\,d^8+178176\,B\,a^{22}\,b^{13}\,d^8+49920\,B\,a^{24}\,b^{11}\,d^8-7680\,B\,a^{26}\,b^9\,d^8-12032\,B\,a^{28}\,b^7\,d^8-4096\,B\,a^{30}\,b^5\,d^8-512\,B\,a^{32}\,b^3\,d^8\right)}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}}{4}-1152\,B^3\,a^9\,b^{24}\,d^6-8448\,B^3\,a^{11}\,b^{22}\,d^6-23776\,B^3\,a^{13}\,b^{20}\,d^6-29664\,B^3\,a^{15}\,b^{18}\,d^6-6528\,B^3\,a^{17}\,b^{16}\,d^6+26496\,B^3\,a^{19}\,b^{14}\,d^6+33984\,B^3\,a^{21}\,b^{12}\,d^6+18624\,B^3\,a^{23}\,b^{10}\,d^6+5376\,B^3\,a^{25}\,b^8\,d^6+1152\,B^3\,a^{27}\,b^6\,d^6+288\,B^3\,a^{29}\,b^4\,d^6+32\,B^3\,a^{31}\,b^2\,d^6\right)}{4}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)\right)}{4}+72\,B^5\,a^{10}\,b^{21}\,d^4+648\,B^5\,a^{12}\,b^{19}\,d^4+2440\,B^5\,a^{14}\,b^{17}\,d^4+5000\,B^5\,a^{16}\,b^{15}\,d^4+6040\,B^5\,a^{18}\,b^{13}\,d^4+4312\,B^5\,a^{20}\,b^{11}\,d^4+1688\,B^5\,a^{22}\,b^9\,d^4+280\,B^5\,a^{24}\,b^7\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{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}}}{4}-\frac{2\,B+\frac{B\,\mathrm{tan}\left(c+d\,x\right)\,\left(2\,a^2\,b+3\,b^3\right)}{a\,\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{\ln\left(\frac{\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}\,\left(\frac{\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}\,\left(\frac{\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)-\frac{\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)}{4}+768\,B\,a^8\,b^{27}\,d^8+8704\,B\,a^{10}\,b^{25}\,d^8+44288\,B\,a^{12}\,b^{23}\,d^8+133120\,B\,a^{14}\,b^{21}\,d^8+261120\,B\,a^{16}\,b^{19}\,d^8+347136\,B\,a^{18}\,b^{17}\,d^8+311808\,B\,a^{20}\,b^{15}\,d^8+178176\,B\,a^{22}\,b^{13}\,d^8+49920\,B\,a^{24}\,b^{11}\,d^8-7680\,B\,a^{26}\,b^9\,d^8-12032\,B\,a^{28}\,b^7\,d^8-4096\,B\,a^{30}\,b^5\,d^8-512\,B\,a^{32}\,b^3\,d^8\right)}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}}{4}-1152\,B^3\,a^9\,b^{24}\,d^6-8448\,B^3\,a^{11}\,b^{22}\,d^6-23776\,B^3\,a^{13}\,b^{20}\,d^6-29664\,B^3\,a^{15}\,b^{18}\,d^6-6528\,B^3\,a^{17}\,b^{16}\,d^6+26496\,B^3\,a^{19}\,b^{14}\,d^6+33984\,B^3\,a^{21}\,b^{12}\,d^6+18624\,B^3\,a^{23}\,b^{10}\,d^6+5376\,B^3\,a^{25}\,b^8\,d^6+1152\,B^3\,a^{27}\,b^6\,d^6+288\,B^3\,a^{29}\,b^4\,d^6+32\,B^3\,a^{31}\,b^2\,d^6\right)}{4}-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)\right)}{4}+72\,B^5\,a^{10}\,b^{21}\,d^4+648\,B^5\,a^{12}\,b^{19}\,d^4+2440\,B^5\,a^{14}\,b^{17}\,d^4+5000\,B^5\,a^{16}\,b^{15}\,d^4+6040\,B^5\,a^{18}\,b^{13}\,d^4+4312\,B^5\,a^{20}\,b^{11}\,d^4+1688\,B^5\,a^{22}\,b^9\,d^4+280\,B^5\,a^{24}\,b^7\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{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}}}{4}-\ln\left(\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(26496\,B^3\,a^{19}\,b^{14}\,d^6-1152\,B^3\,a^9\,b^{24}\,d^6-8448\,B^3\,a^{11}\,b^{22}\,d^6-23776\,B^3\,a^{13}\,b^{20}\,d^6-29664\,B^3\,a^{15}\,b^{18}\,d^6-6528\,B^3\,a^{17}\,b^{16}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)+\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(768\,B\,a^8\,b^{27}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)+8704\,B\,a^{10}\,b^{25}\,d^8+44288\,B\,a^{12}\,b^{23}\,d^8+133120\,B\,a^{14}\,b^{21}\,d^8+261120\,B\,a^{16}\,b^{19}\,d^8+347136\,B\,a^{18}\,b^{17}\,d^8+311808\,B\,a^{20}\,b^{15}\,d^8+178176\,B\,a^{22}\,b^{13}\,d^8+49920\,B\,a^{24}\,b^{11}\,d^8-7680\,B\,a^{26}\,b^9\,d^8-12032\,B\,a^{28}\,b^7\,d^8-4096\,B\,a^{30}\,b^5\,d^8-512\,B\,a^{32}\,b^3\,d^8\right)\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+33984\,B^3\,a^{21}\,b^{12}\,d^6+18624\,B^3\,a^{23}\,b^{10}\,d^6+5376\,B^3\,a^{25}\,b^8\,d^6+1152\,B^3\,a^{27}\,b^6\,d^6+288\,B^3\,a^{29}\,b^4\,d^6+32\,B^3\,a^{31}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)\right)+72\,B^5\,a^{10}\,b^{21}\,d^4+648\,B^5\,a^{12}\,b^{19}\,d^4+2440\,B^5\,a^{14}\,b^{17}\,d^4+5000\,B^5\,a^{16}\,b^{15}\,d^4+6040\,B^5\,a^{18}\,b^{13}\,d^4+4312\,B^5\,a^{20}\,b^{11}\,d^4+1688\,B^5\,a^{22}\,b^9\,d^4+280\,B^5\,a^{24}\,b^7\,d^4\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(26496\,B^3\,a^{19}\,b^{14}\,d^6-1152\,B^3\,a^9\,b^{24}\,d^6-8448\,B^3\,a^{11}\,b^{22}\,d^6-23776\,B^3\,a^{13}\,b^{20}\,d^6-29664\,B^3\,a^{15}\,b^{18}\,d^6-6528\,B^3\,a^{17}\,b^{16}\,d^6-\left(\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)+\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(768\,B\,a^8\,b^{27}\,d^8-\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)+8704\,B\,a^{10}\,b^{25}\,d^8+44288\,B\,a^{12}\,b^{23}\,d^8+133120\,B\,a^{14}\,b^{21}\,d^8+261120\,B\,a^{16}\,b^{19}\,d^8+347136\,B\,a^{18}\,b^{17}\,d^8+311808\,B\,a^{20}\,b^{15}\,d^8+178176\,B\,a^{22}\,b^{13}\,d^8+49920\,B\,a^{24}\,b^{11}\,d^8-7680\,B\,a^{26}\,b^9\,d^8-12032\,B\,a^{28}\,b^7\,d^8-4096\,B\,a^{30}\,b^5\,d^8-512\,B\,a^{32}\,b^3\,d^8\right)\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+33984\,B^3\,a^{21}\,b^{12}\,d^6+18624\,B^3\,a^{23}\,b^{10}\,d^6+5376\,B^3\,a^{25}\,b^8\,d^6+1152\,B^3\,a^{27}\,b^6\,d^6+288\,B^3\,a^{29}\,b^4\,d^6+32\,B^3\,a^{31}\,b^2\,d^6\right)+\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)\right)+72\,B^5\,a^{10}\,b^{21}\,d^4+648\,B^5\,a^{12}\,b^{19}\,d^4+2440\,B^5\,a^{14}\,b^{17}\,d^4+5000\,B^5\,a^{16}\,b^{15}\,d^4+6040\,B^5\,a^{18}\,b^{13}\,d^4+4312\,B^5\,a^{20}\,b^{11}\,d^4+1688\,B^5\,a^{22}\,b^9\,d^4+280\,B^5\,a^{24}\,b^7\,d^4\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^{12}\,d^4+192\,B^4\,a^{10}\,b^2\,d^4-608\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-16\,B^4\,a^4\,b^8\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a^5\,b\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,b^3\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,b^8\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^9\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,b^{11}\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{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}}}{4}+\frac{\ln\left(\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}+\frac{128\,B\,b^3\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}-\frac{32\,B^3\,b^8\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^9\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^5\,b^{11}\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{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}}}{4}-\ln\left(\frac{16\,B^5\,b^{11}\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,b^3\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,b^8\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^9\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}+16\,B^2\,a^3\,b^3\,d^2-16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}-\ln\left(\frac{16\,B^5\,b^{11}\,\left(5\,a^2+b^2\right)}{a\,d^5\,{\left(a^2+b^2\right)}^4}-\frac{\left(\frac{\left(\frac{\left(\frac{\left(128\,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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}-\frac{128\,B\,b^3\,\left(-a^6+6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,d}\right)\,\sqrt{-\frac{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{64\,B^2\,b^4\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{32\,B^3\,b^8\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}+\frac{16\,B^4\,b^9\,\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{4\,\sqrt{-B^4\,b^4\,d^4\,{\left(a^4-6\,a^2\,b^2+b^4\right)}^2}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{d^4\,{\left(a^2+b^2\right)}^4}}}{4}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^8\,b^4\,d^4+192\,B^4\,a^6\,b^6\,d^4-608\,B^4\,a^4\,b^8\,d^4+192\,B^4\,a^2\,b^{10}\,d^4-16\,B^4\,b^{12}\,d^4}-16\,B^2\,a^3\,b^3\,d^2+16\,B^2\,a\,b^5\,d^2}{16\,a^8\,d^4+64\,a^6\,b^2\,d^4+96\,a^4\,b^4\,d^4+64\,a^2\,b^6\,d^4+16\,b^8\,d^4}}+\frac{B\,b^3\,\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)}+\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(6624\,B^3\,a^{19}\,b^{14}\,d^6-288\,B^3\,a^9\,b^{24}\,d^6-2112\,B^3\,a^{11}\,b^{22}\,d^6-5944\,B^3\,a^{13}\,b^{20}\,d^6-7416\,B^3\,a^{15}\,b^{18}\,d^6-1632\,B^3\,a^{17}\,b^{16}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(192\,B\,a^8\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)}{16\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+2176\,B\,a^{10}\,b^{25}\,d^8+11072\,B\,a^{12}\,b^{23}\,d^8+33280\,B\,a^{14}\,b^{21}\,d^8+65280\,B\,a^{16}\,b^{19}\,d^8+86784\,B\,a^{18}\,b^{17}\,d^8+77952\,B\,a^{20}\,b^{15}\,d^8+44544\,B\,a^{22}\,b^{13}\,d^8+12480\,B\,a^{24}\,b^{11}\,d^8-1920\,B\,a^{26}\,b^9\,d^8-3008\,B\,a^{28}\,b^7\,d^8-1024\,B\,a^{30}\,b^5\,d^8-128\,B\,a^{32}\,b^3\,d^8\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+8496\,B^3\,a^{21}\,b^{12}\,d^6+4656\,B^3\,a^{23}\,b^{10}\,d^6+1344\,B^3\,a^{25}\,b^8\,d^6+288\,B^3\,a^{27}\,b^6\,d^6+72\,B^3\,a^{29}\,b^4\,d^6+8\,B^3\,a^{31}\,b^2\,d^6\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2}+\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)}{16\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+192\,B\,a^8\,b^{27}\,d^8+2176\,B\,a^{10}\,b^{25}\,d^8+11072\,B\,a^{12}\,b^{23}\,d^8+33280\,B\,a^{14}\,b^{21}\,d^8+65280\,B\,a^{16}\,b^{19}\,d^8+86784\,B\,a^{18}\,b^{17}\,d^8+77952\,B\,a^{20}\,b^{15}\,d^8+44544\,B\,a^{22}\,b^{13}\,d^8+12480\,B\,a^{24}\,b^{11}\,d^8-1920\,B\,a^{26}\,b^9\,d^8-3008\,B\,a^{28}\,b^7\,d^8-1024\,B\,a^{30}\,b^5\,d^8-128\,B\,a^{32}\,b^3\,d^8\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-288\,B^3\,a^9\,b^{24}\,d^6-2112\,B^3\,a^{11}\,b^{22}\,d^6-5944\,B^3\,a^{13}\,b^{20}\,d^6-7416\,B^3\,a^{15}\,b^{18}\,d^6-1632\,B^3\,a^{17}\,b^{16}\,d^6+6624\,B^3\,a^{19}\,b^{14}\,d^6+8496\,B^3\,a^{21}\,b^{12}\,d^6+4656\,B^3\,a^{23}\,b^{10}\,d^6+1344\,B^3\,a^{25}\,b^8\,d^6+288\,B^3\,a^{27}\,b^6\,d^6+72\,B^3\,a^{29}\,b^4\,d^6+8\,B^3\,a^{31}\,b^2\,d^6\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2}}{\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(6624\,B^3\,a^{19}\,b^{14}\,d^6-288\,B^3\,a^9\,b^{24}\,d^6-2112\,B^3\,a^{11}\,b^{22}\,d^6-5944\,B^3\,a^{13}\,b^{20}\,d^6-7416\,B^3\,a^{15}\,b^{18}\,d^6-1632\,B^3\,a^{17}\,b^{16}\,d^6-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)}{4}+\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(192\,B\,a^8\,b^{27}\,d^8-\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)}{16\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+2176\,B\,a^{10}\,b^{25}\,d^8+11072\,B\,a^{12}\,b^{23}\,d^8+33280\,B\,a^{14}\,b^{21}\,d^8+65280\,B\,a^{16}\,b^{19}\,d^8+86784\,B\,a^{18}\,b^{17}\,d^8+77952\,B\,a^{20}\,b^{15}\,d^8+44544\,B\,a^{22}\,b^{13}\,d^8+12480\,B\,a^{24}\,b^{11}\,d^8-1920\,B\,a^{26}\,b^9\,d^8-3008\,B\,a^{28}\,b^7\,d^8-1024\,B\,a^{30}\,b^5\,d^8-128\,B\,a^{32}\,b^3\,d^8\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+8496\,B^3\,a^{21}\,b^{12}\,d^6+4656\,B^3\,a^{23}\,b^{10}\,d^6+1344\,B^3\,a^{25}\,b^8\,d^6+288\,B^3\,a^{27}\,b^6\,d^6+72\,B^3\,a^{29}\,b^4\,d^6+8\,B^3\,a^{31}\,b^2\,d^6\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2}-\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(32\,B^4\,a^{27}\,b^5\,d^5-560\,B^4\,a^{25}\,b^7\,d^5-3136\,B^4\,a^{23}\,b^9\,d^5-5632\,B^4\,a^{21}\,b^{11}\,d^5-2816\,B^4\,a^{19}\,b^{13}\,d^5+3872\,B^4\,a^{17}\,b^{15}\,d^5+6720\,B^4\,a^{15}\,b^{17}\,d^5+4224\,B^4\,a^{13}\,b^{19}\,d^5+1248\,B^4\,a^{11}\,b^{21}\,d^5+144\,B^4\,a^9\,b^{23}\,d^5\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(\frac{\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(64\,B^2\,a^{32}\,b^2\,d^7+512\,B^2\,a^{30}\,b^4\,d^7+704\,B^2\,a^{28}\,b^6\,d^7+3200\,B^2\,a^{26}\,b^8\,d^7+37632\,B^2\,a^{24}\,b^{10}\,d^7+156160\,B^2\,a^{22}\,b^{12}\,d^7+337792\,B^2\,a^{20}\,b^{14}\,d^7+443136\,B^2\,a^{18}\,b^{16}\,d^7+372800\,B^2\,a^{16}\,b^{18}\,d^7+202752\,B^2\,a^{14}\,b^{20}\,d^7+69056\,B^2\,a^{12}\,b^{22}\,d^7+13440\,B^2\,a^{10}\,b^{24}\,d^7+1152\,B^2\,a^8\,b^{26}\,d^7\right)}{4}-\frac{\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(\frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,\left(-512\,a^{33}\,b^3\,d^9-5120\,a^{31}\,b^5\,d^9-22528\,a^{29}\,b^7\,d^9-56320\,a^{27}\,b^9\,d^9-84480\,a^{25}\,b^{11}\,d^9-67584\,a^{23}\,b^{13}\,d^9+67584\,a^{19}\,b^{17}\,d^9+84480\,a^{17}\,b^{19}\,d^9+56320\,a^{15}\,b^{21}\,d^9+22528\,a^{13}\,b^{23}\,d^9+5120\,a^{11}\,b^{25}\,d^9+512\,a^9\,b^{27}\,d^9\right)}{16\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+192\,B\,a^8\,b^{27}\,d^8+2176\,B\,a^{10}\,b^{25}\,d^8+11072\,B\,a^{12}\,b^{23}\,d^8+33280\,B\,a^{14}\,b^{21}\,d^8+65280\,B\,a^{16}\,b^{19}\,d^8+86784\,B\,a^{18}\,b^{17}\,d^8+77952\,B\,a^{20}\,b^{15}\,d^8+44544\,B\,a^{22}\,b^{13}\,d^8+12480\,B\,a^{24}\,b^{11}\,d^8-1920\,B\,a^{26}\,b^9\,d^8-3008\,B\,a^{28}\,b^7\,d^8-1024\,B\,a^{30}\,b^5\,d^8-128\,B\,a^{32}\,b^3\,d^8\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-288\,B^3\,a^9\,b^{24}\,d^6-2112\,B^3\,a^{11}\,b^{22}\,d^6-5944\,B^3\,a^{13}\,b^{20}\,d^6-7416\,B^3\,a^{15}\,b^{18}\,d^6-1632\,B^3\,a^{17}\,b^{16}\,d^6+6624\,B^3\,a^{19}\,b^{14}\,d^6+8496\,B^3\,a^{21}\,b^{12}\,d^6+4656\,B^3\,a^{23}\,b^{10}\,d^6+1344\,B^3\,a^{25}\,b^8\,d^6+288\,B^3\,a^{27}\,b^6\,d^6+72\,B^3\,a^{29}\,b^4\,d^6+8\,B^3\,a^{31}\,b^2\,d^6\right)}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2}+144\,B^5\,a^{10}\,b^{21}\,d^4+1296\,B^5\,a^{12}\,b^{19}\,d^4+4880\,B^5\,a^{14}\,b^{17}\,d^4+10000\,B^5\,a^{16}\,b^{15}\,d^4+12080\,B^5\,a^{18}\,b^{13}\,d^4+8624\,B^5\,a^{20}\,b^{11}\,d^4+3376\,B^5\,a^{22}\,b^9\,d^4+560\,B^5\,a^{24}\,b^7\,d^4}\right)\,\sqrt{-4\,\left(49\,B^2\,a^4\,b^5+42\,B^2\,a^2\,b^7+9\,B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-\frac{\mathrm{atan}\left(\frac{\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^9+11\,B^4\,a^4\,b^{11}+7\,B^4\,a^2\,b^{13}+B^4\,b^{15}\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(\frac{16\,\left(-50\,B^3\,a^8\,b^8\,d^2+120\,B^3\,a^6\,b^{10}\,d^2+196\,B^3\,a^4\,b^{12}\,d^2+24\,B^3\,a^2\,b^{14}\,d^2-2\,B^3\,b^{16}\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^4\,d^2-12\,B^2\,a^{11}\,b^6\,d^2+256\,B^2\,a^9\,b^8\,d^2+552\,B^2\,a^7\,b^{10}\,d^2+316\,B^2\,a^5\,b^{12}\,d^2+36\,B^2\,a^3\,b^{14}\,d^2+8\,B^2\,a\,b^{16}\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^3\,d^4+16\,B\,a^{13}\,b^5\,d^4+216\,B\,a^{11}\,b^7\,d^4+560\,B\,a^9\,b^9\,d^4+680\,B\,a^7\,b^{11}\,d^4+432\,B\,a^5\,b^{13}\,d^4+136\,B\,a^3\,b^{15}\,d^4+16\,B\,a\,b^{17}\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}+\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^9+11\,B^4\,a^4\,b^{11}+7\,B^4\,a^2\,b^{13}+B^4\,b^{15}\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(\frac{16\,\left(-50\,B^3\,a^8\,b^8\,d^2+120\,B^3\,a^6\,b^{10}\,d^2+196\,B^3\,a^4\,b^{12}\,d^2+24\,B^3\,a^2\,b^{14}\,d^2-2\,B^3\,b^{16}\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^4\,d^2-12\,B^2\,a^{11}\,b^6\,d^2+256\,B^2\,a^9\,b^8\,d^2+552\,B^2\,a^7\,b^{10}\,d^2+316\,B^2\,a^5\,b^{12}\,d^2+36\,B^2\,a^3\,b^{14}\,d^2+8\,B^2\,a\,b^{16}\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^3\,d^4+16\,B\,a^{13}\,b^5\,d^4+216\,B\,a^{11}\,b^7\,d^4+560\,B\,a^9\,b^9\,d^4+680\,B\,a^7\,b^{11}\,d^4+432\,B\,a^5\,b^{13}\,d^4+136\,B\,a^3\,b^{15}\,d^4+16\,B\,a\,b^{17}\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{\frac{32\,\left(5\,B^5\,a^3\,b^{11}+B^5\,a\,b^{13}\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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^9+11\,B^4\,a^4\,b^{11}+7\,B^4\,a^2\,b^{13}+B^4\,b^{15}\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(\frac{16\,\left(-50\,B^3\,a^8\,b^8\,d^2+120\,B^3\,a^6\,b^{10}\,d^2+196\,B^3\,a^4\,b^{12}\,d^2+24\,B^3\,a^2\,b^{14}\,d^2-2\,B^3\,b^{16}\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^4\,d^2-12\,B^2\,a^{11}\,b^6\,d^2+256\,B^2\,a^9\,b^8\,d^2+552\,B^2\,a^7\,b^{10}\,d^2+316\,B^2\,a^5\,b^{12}\,d^2+36\,B^2\,a^3\,b^{14}\,d^2+8\,B^2\,a\,b^{16}\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^3\,d^4+16\,B\,a^{13}\,b^5\,d^4+216\,B\,a^{11}\,b^7\,d^4+560\,B\,a^9\,b^9\,d^4+680\,B\,a^7\,b^{11}\,d^4+432\,B\,a^5\,b^{13}\,d^4+136\,B\,a^3\,b^{15}\,d^4+16\,B\,a\,b^{17}\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}-\frac{\left(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-27\,B^4\,a^6\,b^9+11\,B^4\,a^4\,b^{11}+7\,B^4\,a^2\,b^{13}+B^4\,b^{15}\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(\frac{16\,\left(-50\,B^3\,a^8\,b^8\,d^2+120\,B^3\,a^6\,b^{10}\,d^2+196\,B^3\,a^4\,b^{12}\,d^2+24\,B^3\,a^2\,b^{14}\,d^2-2\,B^3\,b^{16}\,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(\frac{16\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-4\,B^2\,a^{13}\,b^4\,d^2-12\,B^2\,a^{11}\,b^6\,d^2+256\,B^2\,a^9\,b^8\,d^2+552\,B^2\,a^7\,b^{10}\,d^2+316\,B^2\,a^5\,b^{12}\,d^2+36\,B^2\,a^3\,b^{14}\,d^2+8\,B^2\,a\,b^{16}\,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(\frac{16\,\left(-8\,B\,a^{15}\,b^3\,d^4+16\,B\,a^{13}\,b^5\,d^4+216\,B\,a^{11}\,b^7\,d^4+560\,B\,a^9\,b^9\,d^4+680\,B\,a^7\,b^{11}\,d^4+432\,B\,a^5\,b^{13}\,d^4+136\,B\,a^3\,b^{15}\,d^4+16\,B\,a\,b^{17}\,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{4\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,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)}{\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\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{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}{4\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}}\right)\,\sqrt{-4\,\left(25\,B^2\,a^4\,b^5+10\,B^2\,a^2\,b^7+B^2\,b^9\right)\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}\,1{}\mathrm{i}}{2\,\left(a^{11}\,d^2+4\,a^9\,b^2\,d^2+6\,a^7\,b^4\,d^2+4\,a^5\,b^6\,d^2+a^3\,b^8\,d^2\right)}","Not used",1,"(log(((((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2)*(((((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2)*(((tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7) - ((((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2)*((tan(c + d*x)^(1/2)*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/4 + 768*B*a^8*b^27*d^8 + 8704*B*a^10*b^25*d^8 + 44288*B*a^12*b^23*d^8 + 133120*B*a^14*b^21*d^8 + 261120*B*a^16*b^19*d^8 + 347136*B*a^18*b^17*d^8 + 311808*B*a^20*b^15*d^8 + 178176*B*a^22*b^13*d^8 + 49920*B*a^24*b^11*d^8 - 7680*B*a^26*b^9*d^8 - 12032*B*a^28*b^7*d^8 - 4096*B*a^30*b^5*d^8 - 512*B*a^32*b^3*d^8))/4)*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2))/4 - 1152*B^3*a^9*b^24*d^6 - 8448*B^3*a^11*b^22*d^6 - 23776*B^3*a^13*b^20*d^6 - 29664*B^3*a^15*b^18*d^6 - 6528*B^3*a^17*b^16*d^6 + 26496*B^3*a^19*b^14*d^6 + 33984*B^3*a^21*b^12*d^6 + 18624*B^3*a^23*b^10*d^6 + 5376*B^3*a^25*b^8*d^6 + 1152*B^3*a^27*b^6*d^6 + 288*B^3*a^29*b^4*d^6 + 32*B^3*a^31*b^2*d^6))/4 - tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5)))/4 + 72*B^5*a^10*b^21*d^4 + 648*B^5*a^12*b^19*d^4 + 2440*B^5*a^14*b^17*d^4 + 5000*B^5*a^16*b^15*d^4 + 6040*B^5*a^18*b^13*d^4 + 4312*B^5*a^20*b^11*d^4 + 1688*B^5*a^22*b^9*d^4 + 280*B^5*a^24*b^7*d^4)*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*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))^(1/2))/4 - (2*B + (B*tan(c + d*x)*(2*a^2*b + 3*b^3))/(a*(a^2 + b^2)))/(a*d*tan(c + d*x)^(1/2) + b*d*tan(c + d*x)^(3/2)) + (log(((-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2)*(((-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2)*(((tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7) - ((-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2)*((tan(c + d*x)^(1/2)*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/4 + 768*B*a^8*b^27*d^8 + 8704*B*a^10*b^25*d^8 + 44288*B*a^12*b^23*d^8 + 133120*B*a^14*b^21*d^8 + 261120*B*a^16*b^19*d^8 + 347136*B*a^18*b^17*d^8 + 311808*B*a^20*b^15*d^8 + 178176*B*a^22*b^13*d^8 + 49920*B*a^24*b^11*d^8 - 7680*B*a^26*b^9*d^8 - 12032*B*a^28*b^7*d^8 - 4096*B*a^30*b^5*d^8 - 512*B*a^32*b^3*d^8))/4)*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2))/4 - 1152*B^3*a^9*b^24*d^6 - 8448*B^3*a^11*b^22*d^6 - 23776*B^3*a^13*b^20*d^6 - 29664*B^3*a^15*b^18*d^6 - 6528*B^3*a^17*b^16*d^6 + 26496*B^3*a^19*b^14*d^6 + 33984*B^3*a^21*b^12*d^6 + 18624*B^3*a^23*b^10*d^6 + 5376*B^3*a^25*b^8*d^6 + 1152*B^3*a^27*b^6*d^6 + 288*B^3*a^29*b^4*d^6 + 32*B^3*a^31*b^2*d^6))/4 - tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5)))/4 + 72*B^5*a^10*b^21*d^4 + 648*B^5*a^12*b^19*d^4 + 2440*B^5*a^14*b^17*d^4 + 5000*B^5*a^16*b^15*d^4 + 6040*B^5*a^18*b^13*d^4 + 4312*B^5*a^20*b^11*d^4 + 1688*B^5*a^22*b^9*d^4 + 280*B^5*a^24*b^7*d^4)*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*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))^(1/2))/4 - log((((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*((((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(26496*B^3*a^19*b^14*d^6 - 1152*B^3*a^9*b^24*d^6 - 8448*B^3*a^11*b^22*d^6 - 23776*B^3*a^13*b^20*d^6 - 29664*B^3*a^15*b^18*d^6 - 6528*B^3*a^17*b^16*d^6 - (tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7) + (((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(768*B*a^8*b^27*d^8 - tan(c + d*x)^(1/2)*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9) + 8704*B*a^10*b^25*d^8 + 44288*B*a^12*b^23*d^8 + 133120*B*a^14*b^21*d^8 + 261120*B*a^16*b^19*d^8 + 347136*B*a^18*b^17*d^8 + 311808*B*a^20*b^15*d^8 + 178176*B*a^22*b^13*d^8 + 49920*B*a^24*b^11*d^8 - 7680*B*a^26*b^9*d^8 - 12032*B*a^28*b^7*d^8 - 4096*B*a^30*b^5*d^8 - 512*B*a^32*b^3*d^8))*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 33984*B^3*a^21*b^12*d^6 + 18624*B^3*a^23*b^10*d^6 + 5376*B^3*a^25*b^8*d^6 + 1152*B^3*a^27*b^6*d^6 + 288*B^3*a^29*b^4*d^6 + 32*B^3*a^31*b^2*d^6) + tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5)) + 72*B^5*a^10*b^21*d^4 + 648*B^5*a^12*b^19*d^4 + 2440*B^5*a^14*b^17*d^4 + 5000*B^5*a^16*b^15*d^4 + 6040*B^5*a^18*b^13*d^4 + 4312*B^5*a^20*b^11*d^4 + 1688*B^5*a^22*b^9*d^4 + 280*B^5*a^24*b^7*d^4)*(((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*((-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(26496*B^3*a^19*b^14*d^6 - 1152*B^3*a^9*b^24*d^6 - 8448*B^3*a^11*b^22*d^6 - 23776*B^3*a^13*b^20*d^6 - 29664*B^3*a^15*b^18*d^6 - 6528*B^3*a^17*b^16*d^6 - (tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7) + (-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(768*B*a^8*b^27*d^8 - tan(c + d*x)^(1/2)*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9) + 8704*B*a^10*b^25*d^8 + 44288*B*a^12*b^23*d^8 + 133120*B*a^14*b^21*d^8 + 261120*B*a^16*b^19*d^8 + 347136*B*a^18*b^17*d^8 + 311808*B*a^20*b^15*d^8 + 178176*B*a^22*b^13*d^8 + 49920*B*a^24*b^11*d^8 - 7680*B*a^26*b^9*d^8 - 12032*B*a^28*b^7*d^8 - 4096*B*a^30*b^5*d^8 - 512*B*a^32*b^3*d^8))*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + 33984*B^3*a^21*b^12*d^6 + 18624*B^3*a^23*b^10*d^6 + 5376*B^3*a^25*b^8*d^6 + 1152*B^3*a^27*b^6*d^6 + 288*B^3*a^29*b^4*d^6 + 32*B^3*a^31*b^2*d^6) + tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5)) + 72*B^5*a^10*b^21*d^4 + 648*B^5*a^12*b^19*d^4 + 2440*B^5*a^14*b^17*d^4 + 5000*B^5*a^16*b^15*d^4 + 6040*B^5*a^18*b^13*d^4 + 4312*B^5*a^20*b^11*d^4 + 1688*B^5*a^22*b^9*d^4 + 280*B^5*a^24*b^7*d^4)*(-((192*B^4*a^6*b^6*d^4 - 16*B^4*a^4*b^8*d^4 - 16*B^4*a^12*d^4 - 608*B^4*a^8*b^4*d^4 + 192*B^4*a^10*b^2*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a^5*b*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*b^3*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*b^4*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*b^8*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(a^2*d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^9*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*b^11*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*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))^(1/2))/4 + (log(((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) + (128*B*b^3*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*b^4*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 - (32*B^3*b^8*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(a^2*d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^9*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^5*b^11*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4))*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*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))^(1/2))/4 - log((16*B^5*b^11*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*b^3*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*b^4*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*b^8*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(a^2*d^3*(a^2 + b^2)^3))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^9*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))*((4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) + 16*B^2*a^3*b^3*d^2 - 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) - log((16*B^5*b^11*(5*a^2 + b^2))/(a*d^5*(a^2 + b^2)^4) - ((((((((128*b^3*tan(c + d*x)^(1/2)*(a^2 - b^2)*(a^2 + b^2)^2*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2) - (128*B*b^3*(2*b^6 - a^6 + 9*a^2*b^4 + 6*a^4*b^2))/(a*d))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (64*B^2*b^4*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (32*B^3*b^8*(25*a^6 + b^6 - 13*a^2*b^4 - 85*a^4*b^2))/(a^2*d^3*(a^2 + b^2)^3))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4 + (16*B^4*b^9*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))*(-(4*(-B^4*b^4*d^4*(a^4 + b^4 - 6*a^2*b^2)^2)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(d^4*(a^2 + b^2)^4))^(1/2))/4)*(-((192*B^4*a^2*b^10*d^4 - 16*B^4*b^12*d^4 - 608*B^4*a^4*b^8*d^4 + 192*B^4*a^6*b^6*d^4 - 16*B^4*a^8*b^4*d^4)^(1/2) - 16*B^2*a^3*b^3*d^2 + 16*B^2*a*b^5*d^2)/(16*a^8*d^4 + 16*b^8*d^4 + 64*a^2*b^6*d^4 + 96*a^4*b^4*d^4 + 64*a^6*b^2*d^4))^(1/2) + (atan(((((tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(6624*B^3*a^19*b^14*d^6 - 288*B^3*a^9*b^24*d^6 - 2112*B^3*a^11*b^22*d^6 - 5944*B^3*a^13*b^20*d^6 - 7416*B^3*a^15*b^18*d^6 - 1632*B^3*a^17*b^16*d^6 - (((tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(192*B*a^8*b^27*d^8 - (tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(16*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + 2176*B*a^10*b^25*d^8 + 11072*B*a^12*b^23*d^8 + 33280*B*a^14*b^21*d^8 + 65280*B*a^16*b^19*d^8 + 86784*B*a^18*b^17*d^8 + 77952*B*a^20*b^15*d^8 + 44544*B*a^22*b^13*d^8 + 12480*B*a^24*b^11*d^8 - 1920*B*a^26*b^9*d^8 - 3008*B*a^28*b^7*d^8 - 1024*B*a^30*b^5*d^8 - 128*B*a^32*b^3*d^8))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + 8496*B^3*a^21*b^12*d^6 + 4656*B^3*a^23*b^10*d^6 + 1344*B^3*a^25*b^8*d^6 + 288*B^3*a^27*b^6*d^6 + 72*B^3*a^29*b^4*d^6 + 8*B^3*a^31*b^2*d^6))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2) + (((tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(16*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + 192*B*a^8*b^27*d^8 + 2176*B*a^10*b^25*d^8 + 11072*B*a^12*b^23*d^8 + 33280*B*a^14*b^21*d^8 + 65280*B*a^16*b^19*d^8 + 86784*B*a^18*b^17*d^8 + 77952*B*a^20*b^15*d^8 + 44544*B*a^22*b^13*d^8 + 12480*B*a^24*b^11*d^8 - 1920*B*a^26*b^9*d^8 - 3008*B*a^28*b^7*d^8 - 1024*B*a^30*b^5*d^8 - 128*B*a^32*b^3*d^8))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - 288*B^3*a^9*b^24*d^6 - 2112*B^3*a^11*b^22*d^6 - 5944*B^3*a^13*b^20*d^6 - 7416*B^3*a^15*b^18*d^6 - 1632*B^3*a^17*b^16*d^6 + 6624*B^3*a^19*b^14*d^6 + 8496*B^3*a^21*b^12*d^6 + 4656*B^3*a^23*b^10*d^6 + 1344*B^3*a^25*b^8*d^6 + 288*B^3*a^27*b^6*d^6 + 72*B^3*a^29*b^4*d^6 + 8*B^3*a^31*b^2*d^6))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))/((((tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(6624*B^3*a^19*b^14*d^6 - 288*B^3*a^9*b^24*d^6 - 2112*B^3*a^11*b^22*d^6 - 5944*B^3*a^13*b^20*d^6 - 7416*B^3*a^15*b^18*d^6 - 1632*B^3*a^17*b^16*d^6 - (((tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7))/4 + ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(192*B*a^8*b^27*d^8 - (tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(16*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + 2176*B*a^10*b^25*d^8 + 11072*B*a^12*b^23*d^8 + 33280*B*a^14*b^21*d^8 + 65280*B*a^16*b^19*d^8 + 86784*B*a^18*b^17*d^8 + 77952*B*a^20*b^15*d^8 + 44544*B*a^22*b^13*d^8 + 12480*B*a^24*b^11*d^8 - 1920*B*a^26*b^9*d^8 - 3008*B*a^28*b^7*d^8 - 1024*B*a^30*b^5*d^8 - 128*B*a^32*b^3*d^8))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + 8496*B^3*a^21*b^12*d^6 + 4656*B^3*a^23*b^10*d^6 + 1344*B^3*a^25*b^8*d^6 + 288*B^3*a^27*b^6*d^6 + 72*B^3*a^29*b^4*d^6 + 8*B^3*a^31*b^2*d^6))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2) - (((tan(c + d*x)^(1/2)*(144*B^4*a^9*b^23*d^5 + 1248*B^4*a^11*b^21*d^5 + 4224*B^4*a^13*b^19*d^5 + 6720*B^4*a^15*b^17*d^5 + 3872*B^4*a^17*b^15*d^5 - 2816*B^4*a^19*b^13*d^5 - 5632*B^4*a^21*b^11*d^5 - 3136*B^4*a^23*b^9*d^5 - 560*B^4*a^25*b^7*d^5 + 32*B^4*a^27*b^5*d^5))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*((((tan(c + d*x)^(1/2)*(1152*B^2*a^8*b^26*d^7 + 13440*B^2*a^10*b^24*d^7 + 69056*B^2*a^12*b^22*d^7 + 202752*B^2*a^14*b^20*d^7 + 372800*B^2*a^16*b^18*d^7 + 443136*B^2*a^18*b^16*d^7 + 337792*B^2*a^20*b^14*d^7 + 156160*B^2*a^22*b^12*d^7 + 37632*B^2*a^24*b^10*d^7 + 3200*B^2*a^26*b^8*d^7 + 704*B^2*a^28*b^6*d^7 + 512*B^2*a^30*b^4*d^7 + 64*B^2*a^32*b^2*d^7))/4 - ((-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*((tan(c + d*x)^(1/2)*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*(512*a^9*b^27*d^9 + 5120*a^11*b^25*d^9 + 22528*a^13*b^23*d^9 + 56320*a^15*b^21*d^9 + 84480*a^17*b^19*d^9 + 67584*a^19*b^17*d^9 - 67584*a^23*b^13*d^9 - 84480*a^25*b^11*d^9 - 56320*a^27*b^9*d^9 - 22528*a^29*b^7*d^9 - 5120*a^31*b^5*d^9 - 512*a^33*b^3*d^9))/(16*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + 192*B*a^8*b^27*d^8 + 2176*B*a^10*b^25*d^8 + 11072*B*a^12*b^23*d^8 + 33280*B*a^14*b^21*d^8 + 65280*B*a^16*b^19*d^8 + 86784*B*a^18*b^17*d^8 + 77952*B*a^20*b^15*d^8 + 44544*B*a^22*b^13*d^8 + 12480*B*a^24*b^11*d^8 - 1920*B*a^26*b^9*d^8 - 3008*B*a^28*b^7*d^8 - 1024*B*a^30*b^5*d^8 - 128*B*a^32*b^3*d^8))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - 288*B^3*a^9*b^24*d^6 - 2112*B^3*a^11*b^22*d^6 - 5944*B^3*a^13*b^20*d^6 - 7416*B^3*a^15*b^18*d^6 - 1632*B^3*a^17*b^16*d^6 + 6624*B^3*a^19*b^14*d^6 + 8496*B^3*a^21*b^12*d^6 + 4656*B^3*a^23*b^10*d^6 + 1344*B^3*a^25*b^8*d^6 + 288*B^3*a^27*b^6*d^6 + 72*B^3*a^29*b^4*d^6 + 8*B^3*a^31*b^2*d^6))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2) + 144*B^5*a^10*b^21*d^4 + 1296*B^5*a^12*b^19*d^4 + 4880*B^5*a^14*b^17*d^4 + 10000*B^5*a^16*b^15*d^4 + 12080*B^5*a^18*b^13*d^4 + 8624*B^5*a^20*b^11*d^4 + 3376*B^5*a^22*b^9*d^4 + 560*B^5*a^24*b^7*d^4))*(-4*(9*B^2*b^9 + 42*B^2*a^2*b^7 + 49*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(2*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - (atan(((((16*tan(c + d*x)^(1/2)*(B^4*b^15 + 7*B^4*a^2*b^13 + 11*B^4*a^4*b^11 - 27*B^4*a^6*b^9))/(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*B^3*a^2*b^14*d^2 - 2*B^3*b^16*d^2 + 196*B^3*a^4*b^12*d^2 + 120*B^3*a^6*b^10*d^2 - 50*B^3*a^8*b^8*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)*(36*B^2*a^3*b^14*d^2 + 316*B^2*a^5*b^12*d^2 + 552*B^2*a^7*b^10*d^2 + 256*B^2*a^9*b^8*d^2 - 12*B^2*a^11*b^6*d^2 - 4*B^2*a^13*b^4*d^2 + 8*B^2*a*b^16*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*(16*B*a*b^17*d^4 + 136*B*a^3*b^15*d^4 + 432*B*a^5*b^13*d^4 + 680*B*a^7*b^11*d^4 + 560*B*a^9*b^9*d^4 + 216*B*a^11*b^7*d^4 + 16*B*a^13*b^5*d^4 - 8*B*a^15*b^3*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + (((16*tan(c + d*x)^(1/2)*(B^4*b^15 + 7*B^4*a^2*b^13 + 11*B^4*a^4*b^11 - 27*B^4*a^6*b^9))/(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*B^3*a^2*b^14*d^2 - 2*B^3*b^16*d^2 + 196*B^3*a^4*b^12*d^2 + 120*B^3*a^6*b^10*d^2 - 50*B^3*a^8*b^8*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)*(36*B^2*a^3*b^14*d^2 + 316*B^2*a^5*b^12*d^2 + 552*B^2*a^7*b^10*d^2 + 256*B^2*a^9*b^8*d^2 - 12*B^2*a^11*b^6*d^2 - 4*B^2*a^13*b^4*d^2 + 8*B^2*a*b^16*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*(16*B*a*b^17*d^4 + 136*B*a^3*b^15*d^4 + 432*B*a^5*b^13*d^4 + 680*B*a^7*b^11*d^4 + 560*B*a^9*b^9*d^4 + 216*B*a^11*b^7*d^4 + 16*B*a^13*b^5*d^4 - 8*B*a^15*b^3*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))/((32*(B^5*a*b^13 + 5*B^5*a^3*b^11))/(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^4*b^15 + 7*B^4*a^2*b^13 + 11*B^4*a^4*b^11 - 27*B^4*a^6*b^9))/(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*B^3*a^2*b^14*d^2 - 2*B^3*b^16*d^2 + 196*B^3*a^4*b^12*d^2 + 120*B^3*a^6*b^10*d^2 - 50*B^3*a^8*b^8*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)*(36*B^2*a^3*b^14*d^2 + 316*B^2*a^5*b^12*d^2 + 552*B^2*a^7*b^10*d^2 + 256*B^2*a^9*b^8*d^2 - 12*B^2*a^11*b^6*d^2 - 4*B^2*a^13*b^4*d^2 + 8*B^2*a*b^16*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*(16*B*a*b^17*d^4 + 136*B*a^3*b^15*d^4 + 432*B*a^5*b^13*d^4 + 680*B*a^7*b^11*d^4 + 560*B*a^9*b^9*d^4 + 216*B*a^11*b^7*d^4 + 16*B*a^13*b^5*d^4 - 8*B*a^15*b^3*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) - (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) - (((16*tan(c + d*x)^(1/2)*(B^4*b^15 + 7*B^4*a^2*b^13 + 11*B^4*a^4*b^11 - 27*B^4*a^6*b^9))/(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*B^3*a^2*b^14*d^2 - 2*B^3*b^16*d^2 + 196*B^3*a^4*b^12*d^2 + 120*B^3*a^6*b^10*d^2 - 50*B^3*a^8*b^8*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)*(36*B^2*a^3*b^14*d^2 + 316*B^2*a^5*b^12*d^2 + 552*B^2*a^7*b^10*d^2 + 256*B^2*a^9*b^8*d^2 - 12*B^2*a^11*b^6*d^2 - 4*B^2*a^13*b^4*d^2 + 8*B^2*a*b^16*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*(16*B*a*b^17*d^4 + 136*B*a^3*b^15*d^4 + 432*B*a^5*b^13*d^4 + 680*B*a^7*b^11*d^4 + 560*B*a^9*b^9*d^4 + 216*B*a^11*b^7*d^4 + 16*B*a^13*b^5*d^4 - 8*B*a^15*b^3*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) + (4*tan(c + d*x)^(1/2)*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*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)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2))/(4*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))))*(-4*(B^2*b^9 + 10*B^2*a^2*b^7 + 25*B^2*a^4*b^5)*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2))^(1/2)*1i)/(2*(a^11*d^2 + a^3*b^8*d^2 + 4*a^5*b^6*d^2 + 6*a^7*b^4*d^2 + 4*a^9*b^2*d^2)) + (B*b^3*tan(c + d*x)^(1/2))/(a*(a*d + b*d*tan(c + d*x))*(a^2 + b^2))","B"
427,0,-1,264,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2), x)","F"
428,1,61200,201,118.044862,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\frac{\frac{2\,B\,a\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{2\,B\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^3}}{d+\frac{b^2\,d\,{\mathrm{tan}\left(c+d\,x\right)}^2}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^4}-\frac{2\,b\,d\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}-\mathrm{atan}\left(\frac{\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{24}\,b^{26}\,d^2+211456\,A^6\,a^{22}\,b^{28}\,d^2+579072\,A^6\,a^{20}\,b^{30}\,d^2+541176\,A^6\,a^{18}\,b^{32}\,d^2+168905\,A^6\,a^{16}\,b^{34}\,d^2-470\,A^6\,a^{14}\,b^{36}\,d^2+25\,A^6\,a^{12}\,b^{38}\,d^2+460800\,A^5\,B\,a^{23}\,b^{27}\,d^2+1361536\,A^5\,B\,a^{21}\,b^{29}\,d^2+1432560\,A^5\,B\,a^{19}\,b^{31}\,d^2+614690\,A^5\,B\,a^{17}\,b^{33}\,d^2+82036\,A^5\,B\,a^{15}\,b^{35}\,d^2-1150\,A^5\,B\,a^{13}\,b^{37}\,d^2+319488\,A^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\,b^{27}\,d^2+127328\,A^3\,B^2\,a^{20}\,b^{29}\,d^2+86411\,A^3\,B^2\,a^{18}\,b^{31}\,d^2+16550\,A^3\,B^2\,a^{16}\,b^{33}\,d^2-133\,A^3\,B^2\,a^{14}\,b^{35}\,d^2+39936\,A^2\,B^3\,a^{23}\,b^{26}\,d^2+74816\,A^2\,B^3\,a^{21}\,b^{28}\,d^2+28418\,A^2\,B^3\,a^{19}\,b^{30}\,d^2-11277\,A^2\,B^3\,a^{17}\,b^{32}\,d^2-4656\,A^2\,B^3\,a^{15}\,b^{34}\,d^2+159\,A^2\,B^3\,a^{13}\,b^{36}\,d^2+8192\,A\,B^4\,a^{24}\,b^{25}\,d^2+2688\,A\,B^4\,a^{22}\,b^{27}\,d^2-24592\,A\,B^4\,a^{20}\,b^{29}\,d^2-26838\,A\,B^4\,a^{18}\,b^{31}\,d^2-8795\,A\,B^4\,a^{16}\,b^{33}\,d^2-1045\,A\,B^4\,a^{14}\,b^{35}\,d^2-3584\,B^5\,a^{23}\,b^{26}\,d^2-8544\,B^5\,a^{21}\,b^{28}\,d^2-6942\,B^5\,a^{19}\,b^{30}\,d^2-2362\,B^5\,a^{17}\,b^{32}\,d^2-341\,B^5\,a^{15}\,b^{34}\,d^2+39\,B^5\,a^{13}\,b^{36}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(16640\,A^6\,a^{22}\,b^{27}\,d^2+59424\,A^6\,a^{20}\,b^{29}\,d^2+68220\,A^6\,a^{18}\,b^{31}\,d^2+25905\,A^6\,a^{16}\,b^{33}\,d^2+430\,A^6\,a^{14}\,b^{35}\,d^2+25\,A^6\,a^{12}\,b^{37}\,d^2+17408\,A^5\,B\,a^{23}\,b^{26}\,d^2+114560\,A^5\,B\,a^{21}\,b^{28}\,d^2+194292\,A^5\,B\,a^{19}\,b^{30}\,d^2+119398\,A^5\,B\,a^{17}\,b^{32}\,d^2+21168\,A^5\,B\,a^{15}\,b^{34}\,d^2-770\,A^5\,B\,a^{13}\,b^{36}\,d^2+4096\,A^4\,B^2\,a^{24}\,b^{25}\,d^2+164608\,A^4\,B^2\,a^{22}\,b^{27}\,d^2+408400\,A^4\,B^2\,a^{20}\,b^{29}\,d^2+361289\,A^4\,B^2\,a^{18}\,b^{31}\,d^2+123388\,A^4\,B^2\,a^{16}\,b^{33}\,d^2+10653\,A^4\,B^2\,a^{14}\,b^{35}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{37}\,d^2+112640\,A^3\,B^3\,a^{23}\,b^{26}\,d^2+293120\,A^3\,B^3\,a^{21}\,b^{28}\,d^2+267280\,A^3\,B^3\,a^{19}\,b^{30}\,d^2+92604\,A^3\,B^3\,a^{17}\,b^{32}\,d^2+5928\,A^3\,B^3\,a^{15}\,b^{34}\,d^2-580\,A^3\,B^3\,a^{13}\,b^{36}\,d^2+24576\,A^2\,B^4\,a^{24}\,b^{25}\,d^2+70400\,A^2\,B^4\,a^{22}\,b^{27}\,d^2+79616\,A^2\,B^4\,a^{20}\,b^{29}\,d^2+32614\,A^2\,B^4\,a^{18}\,b^{31}\,d^2-7211\,A^2\,B^4\,a^{16}\,b^{33}\,d^2-6472\,A^2\,B^4\,a^{14}\,b^{35}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{37}\,d^2+13312\,A\,B^5\,a^{23}\,b^{26}\,d^2+35200\,A\,B^5\,a^{21}\,b^{28}\,d^2+19804\,A\,B^5\,a^{19}\,b^{30}\,d^2-12202\,A\,B^5\,a^{17}\,b^{32}\,d^2-12040\,A\,B^5\,a^{15}\,b^{34}\,d^2-1794\,A\,B^5\,a^{13}\,b^{36}\,d^2+4096\,B^6\,a^{24}\,b^{25}\,d^2+10496\,B^6\,a^{22}\,b^{27}\,d^2+6544\,B^6\,a^{20}\,b^{29}\,d^2-2263\,B^6\,a^{18}\,b^{31}\,d^2-3030\,B^6\,a^{16}\,b^{33}\,d^2-679\,B^6\,a^{14}\,b^{35}\,d^2-72\,B^6\,a^{12}\,b^{37}\,d^2\right)}{d^8}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(368\,A^7\,a^{22}\,b^{28}+947\,A^7\,a^{20}\,b^{30}+729\,A^7\,a^{18}\,b^{32}+85\,A^7\,a^{16}\,b^{34}-65\,A^7\,a^{14}\,b^{36}+2496\,A^6\,B\,a^{23}\,b^{27}+8088\,A^6\,B\,a^{21}\,b^{29}+9459\,A^6\,B\,a^{19}\,b^{31}+4607\,A^6\,B\,a^{17}\,b^{33}+725\,A^6\,B\,a^{15}\,b^{35}-15\,A^6\,B\,a^{13}\,b^{37}+2176\,A^5\,B^2\,a^{24}\,b^{26}+8032\,A^5\,B^2\,a^{22}\,b^{28}+10912\,A^5\,B^2\,a^{20}\,b^{30}+6366\,A^5\,B^2\,a^{18}\,b^{32}+1265\,A^5\,B^2\,a^{16}\,b^{34}-45\,A^5\,B^2\,a^{14}\,b^{36}+512\,A^4\,B^3\,a^{25}\,b^{25}+6752\,A^4\,B^3\,a^{23}\,b^{27}+18452\,A^4\,B^3\,a^{21}\,b^{29}+20274\,A^4\,B^3\,a^{19}\,b^{31}+9606\,A^4\,B^3\,a^{17}\,b^{33}+1507\,A^4\,B^3\,a^{15}\,b^{35}-37\,A^4\,B^3\,a^{13}\,b^{37}+4352\,A^3\,B^4\,a^{24}\,b^{26}+14960\,A^3\,B^4\,a^{22}\,b^{28}+18982\,A^3\,B^4\,a^{20}\,b^{30}+10563\,A^3\,B^4\,a^{18}\,b^{32}+2278\,A^3\,B^4\,a^{16}\,b^{34}+89\,A^3\,B^4\,a^{14}\,b^{36}+1024\,A^2\,B^5\,a^{25}\,b^{25}+6016\,A^2\,B^5\,a^{23}\,b^{27}+12640\,A^2\,B^5\,a^{21}\,b^{29}+12178\,A^2\,B^5\,a^{19}\,b^{31}+5373\,A^2\,B^5\,a^{17}\,b^{33}+818\,A^2\,B^5\,a^{15}\,b^{35}-25\,A^2\,B^5\,a^{13}\,b^{37}+2176\,A\,B^6\,a^{24}\,b^{26}+7296\,A\,B^6\,a^{22}\,b^{28}+9017\,A\,B^6\,a^{20}\,b^{30}+4926\,A\,B^6\,a^{18}\,b^{32}+1098\,A\,B^6\,a^{16}\,b^{34}+69\,A\,B^6\,a^{14}\,b^{36}+512\,B^7\,a^{25}\,b^{25}+1760\,B^7\,a^{23}\,b^{27}+2276\,B^7\,a^{21}\,b^{29}+1363\,B^7\,a^{19}\,b^{31}+374\,B^7\,a^{17}\,b^{33}+36\,B^7\,a^{15}\,b^{35}-3\,B^7\,a^{13}\,b^{37}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{24}\,b^{26}\,d^2+211456\,A^6\,a^{22}\,b^{28}\,d^2+579072\,A^6\,a^{20}\,b^{30}\,d^2+541176\,A^6\,a^{18}\,b^{32}\,d^2+168905\,A^6\,a^{16}\,b^{34}\,d^2-470\,A^6\,a^{14}\,b^{36}\,d^2+25\,A^6\,a^{12}\,b^{38}\,d^2+460800\,A^5\,B\,a^{23}\,b^{27}\,d^2+1361536\,A^5\,B\,a^{21}\,b^{29}\,d^2+1432560\,A^5\,B\,a^{19}\,b^{31}\,d^2+614690\,A^5\,B\,a^{17}\,b^{33}\,d^2+82036\,A^5\,B\,a^{15}\,b^{35}\,d^2-1150\,A^5\,B\,a^{13}\,b^{37}\,d^2+319488\,A^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\,b^{27}\,d^2+127328\,A^3\,B^2\,a^{20}\,b^{29}\,d^2+86411\,A^3\,B^2\,a^{18}\,b^{31}\,d^2+16550\,A^3\,B^2\,a^{16}\,b^{33}\,d^2-133\,A^3\,B^2\,a^{14}\,b^{35}\,d^2+39936\,A^2\,B^3\,a^{23}\,b^{26}\,d^2+74816\,A^2\,B^3\,a^{21}\,b^{28}\,d^2+28418\,A^2\,B^3\,a^{19}\,b^{30}\,d^2-11277\,A^2\,B^3\,a^{17}\,b^{32}\,d^2-4656\,A^2\,B^3\,a^{15}\,b^{34}\,d^2+159\,A^2\,B^3\,a^{13}\,b^{36}\,d^2+8192\,A\,B^4\,a^{24}\,b^{25}\,d^2+2688\,A\,B^4\,a^{22}\,b^{27}\,d^2-24592\,A\,B^4\,a^{20}\,b^{29}\,d^2-26838\,A\,B^4\,a^{18}\,b^{31}\,d^2-8795\,A\,B^4\,a^{16}\,b^{33}\,d^2-1045\,A\,B^4\,a^{14}\,b^{35}\,d^2-3584\,B^5\,a^{23}\,b^{26}\,d^2-8544\,B^5\,a^{21}\,b^{28}\,d^2-6942\,B^5\,a^{19}\,b^{30}\,d^2-2362\,B^5\,a^{17}\,b^{32}\,d^2-341\,B^5\,a^{15}\,b^{34}\,d^2+39\,B^5\,a^{13}\,b^{36}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(16640\,A^6\,a^{22}\,b^{27}\,d^2+59424\,A^6\,a^{20}\,b^{29}\,d^2+68220\,A^6\,a^{18}\,b^{31}\,d^2+25905\,A^6\,a^{16}\,b^{33}\,d^2+430\,A^6\,a^{14}\,b^{35}\,d^2+25\,A^6\,a^{12}\,b^{37}\,d^2+17408\,A^5\,B\,a^{23}\,b^{26}\,d^2+114560\,A^5\,B\,a^{21}\,b^{28}\,d^2+194292\,A^5\,B\,a^{19}\,b^{30}\,d^2+119398\,A^5\,B\,a^{17}\,b^{32}\,d^2+21168\,A^5\,B\,a^{15}\,b^{34}\,d^2-770\,A^5\,B\,a^{13}\,b^{36}\,d^2+4096\,A^4\,B^2\,a^{24}\,b^{25}\,d^2+164608\,A^4\,B^2\,a^{22}\,b^{27}\,d^2+408400\,A^4\,B^2\,a^{20}\,b^{29}\,d^2+361289\,A^4\,B^2\,a^{18}\,b^{31}\,d^2+123388\,A^4\,B^2\,a^{16}\,b^{33}\,d^2+10653\,A^4\,B^2\,a^{14}\,b^{35}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{37}\,d^2+112640\,A^3\,B^3\,a^{23}\,b^{26}\,d^2+293120\,A^3\,B^3\,a^{21}\,b^{28}\,d^2+267280\,A^3\,B^3\,a^{19}\,b^{30}\,d^2+92604\,A^3\,B^3\,a^{17}\,b^{32}\,d^2+5928\,A^3\,B^3\,a^{15}\,b^{34}\,d^2-580\,A^3\,B^3\,a^{13}\,b^{36}\,d^2+24576\,A^2\,B^4\,a^{24}\,b^{25}\,d^2+70400\,A^2\,B^4\,a^{22}\,b^{27}\,d^2+79616\,A^2\,B^4\,a^{20}\,b^{29}\,d^2+32614\,A^2\,B^4\,a^{18}\,b^{31}\,d^2-7211\,A^2\,B^4\,a^{16}\,b^{33}\,d^2-6472\,A^2\,B^4\,a^{14}\,b^{35}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{37}\,d^2+13312\,A\,B^5\,a^{23}\,b^{26}\,d^2+35200\,A\,B^5\,a^{21}\,b^{28}\,d^2+19804\,A\,B^5\,a^{19}\,b^{30}\,d^2-12202\,A\,B^5\,a^{17}\,b^{32}\,d^2-12040\,A\,B^5\,a^{15}\,b^{34}\,d^2-1794\,A\,B^5\,a^{13}\,b^{36}\,d^2+4096\,B^6\,a^{24}\,b^{25}\,d^2+10496\,B^6\,a^{22}\,b^{27}\,d^2+6544\,B^6\,a^{20}\,b^{29}\,d^2-2263\,B^6\,a^{18}\,b^{31}\,d^2-3030\,B^6\,a^{16}\,b^{33}\,d^2-679\,B^6\,a^{14}\,b^{35}\,d^2-72\,B^6\,a^{12}\,b^{37}\,d^2\right)}{d^8}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(368\,A^7\,a^{22}\,b^{28}+947\,A^7\,a^{20}\,b^{30}+729\,A^7\,a^{18}\,b^{32}+85\,A^7\,a^{16}\,b^{34}-65\,A^7\,a^{14}\,b^{36}+2496\,A^6\,B\,a^{23}\,b^{27}+8088\,A^6\,B\,a^{21}\,b^{29}+9459\,A^6\,B\,a^{19}\,b^{31}+4607\,A^6\,B\,a^{17}\,b^{33}+725\,A^6\,B\,a^{15}\,b^{35}-15\,A^6\,B\,a^{13}\,b^{37}+2176\,A^5\,B^2\,a^{24}\,b^{26}+8032\,A^5\,B^2\,a^{22}\,b^{28}+10912\,A^5\,B^2\,a^{20}\,b^{30}+6366\,A^5\,B^2\,a^{18}\,b^{32}+1265\,A^5\,B^2\,a^{16}\,b^{34}-45\,A^5\,B^2\,a^{14}\,b^{36}+512\,A^4\,B^3\,a^{25}\,b^{25}+6752\,A^4\,B^3\,a^{23}\,b^{27}+18452\,A^4\,B^3\,a^{21}\,b^{29}+20274\,A^4\,B^3\,a^{19}\,b^{31}+9606\,A^4\,B^3\,a^{17}\,b^{33}+1507\,A^4\,B^3\,a^{15}\,b^{35}-37\,A^4\,B^3\,a^{13}\,b^{37}+4352\,A^3\,B^4\,a^{24}\,b^{26}+14960\,A^3\,B^4\,a^{22}\,b^{28}+18982\,A^3\,B^4\,a^{20}\,b^{30}+10563\,A^3\,B^4\,a^{18}\,b^{32}+2278\,A^3\,B^4\,a^{16}\,b^{34}+89\,A^3\,B^4\,a^{14}\,b^{36}+1024\,A^2\,B^5\,a^{25}\,b^{25}+6016\,A^2\,B^5\,a^{23}\,b^{27}+12640\,A^2\,B^5\,a^{21}\,b^{29}+12178\,A^2\,B^5\,a^{19}\,b^{31}+5373\,A^2\,B^5\,a^{17}\,b^{33}+818\,A^2\,B^5\,a^{15}\,b^{35}-25\,A^2\,B^5\,a^{13}\,b^{37}+2176\,A\,B^6\,a^{24}\,b^{26}+7296\,A\,B^6\,a^{22}\,b^{28}+9017\,A\,B^6\,a^{20}\,b^{30}+4926\,A\,B^6\,a^{18}\,b^{32}+1098\,A\,B^6\,a^{16}\,b^{34}+69\,A\,B^6\,a^{14}\,b^{36}+512\,B^7\,a^{25}\,b^{25}+1760\,B^7\,a^{23}\,b^{27}+2276\,B^7\,a^{21}\,b^{29}+1363\,B^7\,a^{19}\,b^{31}+374\,B^7\,a^{17}\,b^{33}+36\,B^7\,a^{15}\,b^{35}-3\,B^7\,a^{13}\,b^{37}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{24}\,b^{26}\,d^2+211456\,A^6\,a^{22}\,b^{28}\,d^2+579072\,A^6\,a^{20}\,b^{30}\,d^2+541176\,A^6\,a^{18}\,b^{32}\,d^2+168905\,A^6\,a^{16}\,b^{34}\,d^2-470\,A^6\,a^{14}\,b^{36}\,d^2+25\,A^6\,a^{12}\,b^{38}\,d^2+460800\,A^5\,B\,a^{23}\,b^{27}\,d^2+1361536\,A^5\,B\,a^{21}\,b^{29}\,d^2+1432560\,A^5\,B\,a^{19}\,b^{31}\,d^2+614690\,A^5\,B\,a^{17}\,b^{33}\,d^2+82036\,A^5\,B\,a^{15}\,b^{35}\,d^2-1150\,A^5\,B\,a^{13}\,b^{37}\,d^2+319488\,A^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\,b^{27}\,d^2+127328\,A^3\,B^2\,a^{20}\,b^{29}\,d^2+86411\,A^3\,B^2\,a^{18}\,b^{31}\,d^2+16550\,A^3\,B^2\,a^{16}\,b^{33}\,d^2-133\,A^3\,B^2\,a^{14}\,b^{35}\,d^2+39936\,A^2\,B^3\,a^{23}\,b^{26}\,d^2+74816\,A^2\,B^3\,a^{21}\,b^{28}\,d^2+28418\,A^2\,B^3\,a^{19}\,b^{30}\,d^2-11277\,A^2\,B^3\,a^{17}\,b^{32}\,d^2-4656\,A^2\,B^3\,a^{15}\,b^{34}\,d^2+159\,A^2\,B^3\,a^{13}\,b^{36}\,d^2+8192\,A\,B^4\,a^{24}\,b^{25}\,d^2+2688\,A\,B^4\,a^{22}\,b^{27}\,d^2-24592\,A\,B^4\,a^{20}\,b^{29}\,d^2-26838\,A\,B^4\,a^{18}\,b^{31}\,d^2-8795\,A\,B^4\,a^{16}\,b^{33}\,d^2-1045\,A\,B^4\,a^{14}\,b^{35}\,d^2-3584\,B^5\,a^{23}\,b^{26}\,d^2-8544\,B^5\,a^{21}\,b^{28}\,d^2-6942\,B^5\,a^{19}\,b^{30}\,d^2-2362\,B^5\,a^{17}\,b^{32}\,d^2-341\,B^5\,a^{15}\,b^{34}\,d^2+39\,B^5\,a^{13}\,b^{36}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(16640\,A^6\,a^{22}\,b^{27}\,d^2+59424\,A^6\,a^{20}\,b^{29}\,d^2+68220\,A^6\,a^{18}\,b^{31}\,d^2+25905\,A^6\,a^{16}\,b^{33}\,d^2+430\,A^6\,a^{14}\,b^{35}\,d^2+25\,A^6\,a^{12}\,b^{37}\,d^2+17408\,A^5\,B\,a^{23}\,b^{26}\,d^2+114560\,A^5\,B\,a^{21}\,b^{28}\,d^2+194292\,A^5\,B\,a^{19}\,b^{30}\,d^2+119398\,A^5\,B\,a^{17}\,b^{32}\,d^2+21168\,A^5\,B\,a^{15}\,b^{34}\,d^2-770\,A^5\,B\,a^{13}\,b^{36}\,d^2+4096\,A^4\,B^2\,a^{24}\,b^{25}\,d^2+164608\,A^4\,B^2\,a^{22}\,b^{27}\,d^2+408400\,A^4\,B^2\,a^{20}\,b^{29}\,d^2+361289\,A^4\,B^2\,a^{18}\,b^{31}\,d^2+123388\,A^4\,B^2\,a^{16}\,b^{33}\,d^2+10653\,A^4\,B^2\,a^{14}\,b^{35}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{37}\,d^2+112640\,A^3\,B^3\,a^{23}\,b^{26}\,d^2+293120\,A^3\,B^3\,a^{21}\,b^{28}\,d^2+267280\,A^3\,B^3\,a^{19}\,b^{30}\,d^2+92604\,A^3\,B^3\,a^{17}\,b^{32}\,d^2+5928\,A^3\,B^3\,a^{15}\,b^{34}\,d^2-580\,A^3\,B^3\,a^{13}\,b^{36}\,d^2+24576\,A^2\,B^4\,a^{24}\,b^{25}\,d^2+70400\,A^2\,B^4\,a^{22}\,b^{27}\,d^2+79616\,A^2\,B^4\,a^{20}\,b^{29}\,d^2+32614\,A^2\,B^4\,a^{18}\,b^{31}\,d^2-7211\,A^2\,B^4\,a^{16}\,b^{33}\,d^2-6472\,A^2\,B^4\,a^{14}\,b^{35}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{37}\,d^2+13312\,A\,B^5\,a^{23}\,b^{26}\,d^2+35200\,A\,B^5\,a^{21}\,b^{28}\,d^2+19804\,A\,B^5\,a^{19}\,b^{30}\,d^2-12202\,A\,B^5\,a^{17}\,b^{32}\,d^2-12040\,A\,B^5\,a^{15}\,b^{34}\,d^2-1794\,A\,B^5\,a^{13}\,b^{36}\,d^2+4096\,B^6\,a^{24}\,b^{25}\,d^2+10496\,B^6\,a^{22}\,b^{27}\,d^2+6544\,B^6\,a^{20}\,b^{29}\,d^2-2263\,B^6\,a^{18}\,b^{31}\,d^2-3030\,B^6\,a^{16}\,b^{33}\,d^2-679\,B^6\,a^{14}\,b^{35}\,d^2-72\,B^6\,a^{12}\,b^{37}\,d^2\right)}{d^8}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(368\,A^7\,a^{22}\,b^{28}+947\,A^7\,a^{20}\,b^{30}+729\,A^7\,a^{18}\,b^{32}+85\,A^7\,a^{16}\,b^{34}-65\,A^7\,a^{14}\,b^{36}+2496\,A^6\,B\,a^{23}\,b^{27}+8088\,A^6\,B\,a^{21}\,b^{29}+9459\,A^6\,B\,a^{19}\,b^{31}+4607\,A^6\,B\,a^{17}\,b^{33}+725\,A^6\,B\,a^{15}\,b^{35}-15\,A^6\,B\,a^{13}\,b^{37}+2176\,A^5\,B^2\,a^{24}\,b^{26}+8032\,A^5\,B^2\,a^{22}\,b^{28}+10912\,A^5\,B^2\,a^{20}\,b^{30}+6366\,A^5\,B^2\,a^{18}\,b^{32}+1265\,A^5\,B^2\,a^{16}\,b^{34}-45\,A^5\,B^2\,a^{14}\,b^{36}+512\,A^4\,B^3\,a^{25}\,b^{25}+6752\,A^4\,B^3\,a^{23}\,b^{27}+18452\,A^4\,B^3\,a^{21}\,b^{29}+20274\,A^4\,B^3\,a^{19}\,b^{31}+9606\,A^4\,B^3\,a^{17}\,b^{33}+1507\,A^4\,B^3\,a^{15}\,b^{35}-37\,A^4\,B^3\,a^{13}\,b^{37}+4352\,A^3\,B^4\,a^{24}\,b^{26}+14960\,A^3\,B^4\,a^{22}\,b^{28}+18982\,A^3\,B^4\,a^{20}\,b^{30}+10563\,A^3\,B^4\,a^{18}\,b^{32}+2278\,A^3\,B^4\,a^{16}\,b^{34}+89\,A^3\,B^4\,a^{14}\,b^{36}+1024\,A^2\,B^5\,a^{25}\,b^{25}+6016\,A^2\,B^5\,a^{23}\,b^{27}+12640\,A^2\,B^5\,a^{21}\,b^{29}+12178\,A^2\,B^5\,a^{19}\,b^{31}+5373\,A^2\,B^5\,a^{17}\,b^{33}+818\,A^2\,B^5\,a^{15}\,b^{35}-25\,A^2\,B^5\,a^{13}\,b^{37}+2176\,A\,B^6\,a^{24}\,b^{26}+7296\,A\,B^6\,a^{22}\,b^{28}+9017\,A\,B^6\,a^{20}\,b^{30}+4926\,A\,B^6\,a^{18}\,b^{32}+1098\,A\,B^6\,a^{16}\,b^{34}+69\,A\,B^6\,a^{14}\,b^{36}+512\,B^7\,a^{25}\,b^{25}+1760\,B^7\,a^{23}\,b^{27}+2276\,B^7\,a^{21}\,b^{29}+1363\,B^7\,a^{19}\,b^{31}+374\,B^7\,a^{17}\,b^{33}+36\,B^7\,a^{15}\,b^{35}-3\,B^7\,a^{13}\,b^{37}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{24}\,b^{26}\,d^2+211456\,A^6\,a^{22}\,b^{28}\,d^2+579072\,A^6\,a^{20}\,b^{30}\,d^2+541176\,A^6\,a^{18}\,b^{32}\,d^2+168905\,A^6\,a^{16}\,b^{34}\,d^2-470\,A^6\,a^{14}\,b^{36}\,d^2+25\,A^6\,a^{12}\,b^{38}\,d^2+460800\,A^5\,B\,a^{23}\,b^{27}\,d^2+1361536\,A^5\,B\,a^{21}\,b^{29}\,d^2+1432560\,A^5\,B\,a^{19}\,b^{31}\,d^2+614690\,A^5\,B\,a^{17}\,b^{33}\,d^2+82036\,A^5\,B\,a^{15}\,b^{35}\,d^2-1150\,A^5\,B\,a^{13}\,b^{37}\,d^2+319488\,A^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\,b^{27}\,d^2+127328\,A^3\,B^2\,a^{20}\,b^{29}\,d^2+86411\,A^3\,B^2\,a^{18}\,b^{31}\,d^2+16550\,A^3\,B^2\,a^{16}\,b^{33}\,d^2-133\,A^3\,B^2\,a^{14}\,b^{35}\,d^2+39936\,A^2\,B^3\,a^{23}\,b^{26}\,d^2+74816\,A^2\,B^3\,a^{21}\,b^{28}\,d^2+28418\,A^2\,B^3\,a^{19}\,b^{30}\,d^2-11277\,A^2\,B^3\,a^{17}\,b^{32}\,d^2-4656\,A^2\,B^3\,a^{15}\,b^{34}\,d^2+159\,A^2\,B^3\,a^{13}\,b^{36}\,d^2+8192\,A\,B^4\,a^{24}\,b^{25}\,d^2+2688\,A\,B^4\,a^{22}\,b^{27}\,d^2-24592\,A\,B^4\,a^{20}\,b^{29}\,d^2-26838\,A\,B^4\,a^{18}\,b^{31}\,d^2-8795\,A\,B^4\,a^{16}\,b^{33}\,d^2-1045\,A\,B^4\,a^{14}\,b^{35}\,d^2-3584\,B^5\,a^{23}\,b^{26}\,d^2-8544\,B^5\,a^{21}\,b^{28}\,d^2-6942\,B^5\,a^{19}\,b^{30}\,d^2-2362\,B^5\,a^{17}\,b^{32}\,d^2-341\,B^5\,a^{15}\,b^{34}\,d^2+39\,B^5\,a^{13}\,b^{36}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,b-A^2\,a\,1{}\mathrm{i}+B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a+A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(16640\,A^6\,a^{22}\,b^{27}\,d^2+59424\,A^6\,a^{20}\,b^{29}\,d^2+68220\,A^6\,a^{18}\,b^{31}\,d^2+25905\,A^6\,a^{16}\,b^{33}\,d^2+430\,A^6\,a^{14}\,b^{35}\,d^2+25\,A^6\,a^{12}\,b^{37}\,d^2+17408\,A^5\,B\,a^{23}\,b^{26}\,d^2+114560\,A^5\,B\,a^{21}\,b^{28}\,d^2+194292\,A^5\,B\,a^{19}\,b^{30}\,d^2+119398\,A^5\,B\,a^{17}\,b^{32}\,d^2+21168\,A^5\,B\,a^{15}\,b^{34}\,d^2-770\,A^5\,B\,a^{13}\,b^{36}\,d^2+4096\,A^4\,B^2\,a^{24}\,b^{25}\,d^2+164608\,A^4\,B^2\,a^{22}\,b^{27}\,d^2+408400\,A^4\,B^2\,a^{20}\,b^{29}\,d^2+361289\,A^4\,B^2\,a^{18}\,b^{31}\,d^2+123388\,A^4\,B^2\,a^{16}\,b^{33}\,d^2+10653\,A^4\,B^2\,a^{14}\,b^{35}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{37}\,d^2+112640\,A^3\,B^3\,a^{23}\,b^{26}\,d^2+293120\,A^3\,B^3\,a^{21}\,b^{28}\,d^2+267280\,A^3\,B^3\,a^{19}\,b^{30}\,d^2+92604\,A^3\,B^3\,a^{17}\,b^{32}\,d^2+5928\,A^3\,B^3\,a^{15}\,b^{34}\,d^2-580\,A^3\,B^3\,a^{13}\,b^{36}\,d^2+24576\,A^2\,B^4\,a^{24}\,b^{25}\,d^2+70400\,A^2\,B^4\,a^{22}\,b^{27}\,d^2+79616\,A^2\,B^4\,a^{20}\,b^{29}\,d^2+32614\,A^2\,B^4\,a^{18}\,b^{31}\,d^2-7211\,A^2\,B^4\,a^{16}\,b^{33}\,d^2-6472\,A^2\,B^4\,a^{14}\,b^{35}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{37}\,d^2+13312\,A\,B^5\,a^{23}\,b^{26}\,d^2+35200\,A\,B^5\,a^{21}\,b^{28}\,d^2+19804\,A\,B^5\,a^{19}\,b^{30}\,d^2-12202\,A\,B^5\,a^{17}\,b^{32}\,d^2-12040\,A\,B^5\,a^{15}\,b^{34}\,d^2-1794\,A\,B^5\,a^{13}\,b^{36}\,d^2+4096\,B^6\,a^{24}\,b^{25}\,d^2+10496\,B^6\,a^{22}\,b^{27}\,d^2+6544\,B^6\,a^{20}\,b^{29}\,d^2-2263\,B^6\,a^{18}\,b^{31}\,d^2-3030\,B^6\,a^{16}\,b^{33}\,d^2-679\,B^6\,a^{14}\,b^{35}\,d^2-72\,B^6\,a^{12}\,b^{37}\,d^2\right)}{d^8}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(368\,A^7\,a^{22}\,b^{28}+947\,A^7\,a^{20}\,b^{30}+729\,A^7\,a^{18}\,b^{32}+85\,A^7\,a^{16}\,b^{34}-65\,A^7\,a^{14}\,b^{36}+2496\,A^6\,B\,a^{23}\,b^{27}+8088\,A^6\,B\,a^{21}\,b^{29}+9459\,A^6\,B\,a^{19}\,b^{31}+4607\,A^6\,B\,a^{17}\,b^{33}+725\,A^6\,B\,a^{15}\,b^{35}-15\,A^6\,B\,a^{13}\,b^{37}+2176\,A^5\,B^2\,a^{24}\,b^{26}+8032\,A^5\,B^2\,a^{22}\,b^{28}+10912\,A^5\,B^2\,a^{20}\,b^{30}+6366\,A^5\,B^2\,a^{18}\,b^{32}+1265\,A^5\,B^2\,a^{16}\,b^{34}-45\,A^5\,B^2\,a^{14}\,b^{36}+512\,A^4\,B^3\,a^{25}\,b^{25}+6752\,A^4\,B^3\,a^{23}\,b^{27}+18452\,A^4\,B^3\,a^{21}\,b^{29}+20274\,A^4\,B^3\,a^{19}\,b^{31}+9606\,A^4\,B^3\,a^{17}\,b^{33}+1507\,A^4\,B^3\,a^{15}\,b^{35}-37\,A^4\,B^3\,a^{13}\,b^{37}+4352\,A^3\,B^4\,a^{24}\,b^{26}+14960\,A^3\,B^4\,a^{22}\,b^{28}+18982\,A^3\,B^4\,a^{20}\,b^{30}+10563\,A^3\,B^4\,a^{18}\,b^{32}+2278\,A^3\,B^4\,a^{16}\,b^{34}+89\,A^3\,B^4\,a^{14}\,b^{36}+1024\,A^2\,B^5\,a^{25}\,b^{25}+6016\,A^2\,B^5\,a^{23}\,b^{27}+12640\,A^2\,B^5\,a^{21}\,b^{29}+12178\,A^2\,B^5\,a^{19}\,b^{31}+5373\,A^2\,B^5\,a^{17}\,b^{33}+818\,A^2\,B^5\,a^{15}\,b^{35}-25\,A^2\,B^5\,a^{13}\,b^{37}+2176\,A\,B^6\,a^{24}\,b^{26}+7296\,A\,B^6\,a^{22}\,b^{28}+9017\,A\,B^6\,a^{20}\,b^{30}+4926\,A\,B^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^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\,b^{27}\,d^2+127328\,A^3\,B^2\,a^{20}\,b^{29}\,d^2+86411\,A^3\,B^2\,a^{18}\,b^{31}\,d^2+16550\,A^3\,B^2\,a^{16}\,b^{33}\,d^2-133\,A^3\,B^2\,a^{14}\,b^{35}\,d^2+39936\,A^2\,B^3\,a^{23}\,b^{26}\,d^2+74816\,A^2\,B^3\,a^{21}\,b^{28}\,d^2+28418\,A^2\,B^3\,a^{19}\,b^{30}\,d^2-11277\,A^2\,B^3\,a^{17}\,b^{32}\,d^2-4656\,A^2\,B^3\,a^{15}\,b^{34}\,d^2+159\,A^2\,B^3\,a^{13}\,b^{36}\,d^2+8192\,A\,B^4\,a^{24}\,b^{25}\,d^2+2688\,A\,B^4\,a^{22}\,b^{27}\,d^2-24592\,A\,B^4\,a^{20}\,b^{29}\,d^2-26838\,A\,B^4\,a^{18}\,b^{31}\,d^2-8795\,A\,B^4\,a^{16}\,b^{33}\,d^2-1045\,A\,B^4\,a^{14}\,b^{35}\,d^2-3584\,B^5\,a^{23}\,b^{26}\,d^2-8544\,B^5\,a^{21}\,b^{28}\,d^2-6942\,B^5\,a^{19}\,b^{30}\,d^2-2362\,B^5\,a^{17}\,b^{32}\,d^2-341\,B^5\,a^{15}\,b^{34}\,d^2+39\,B^5\,a^{13}\,b^{36}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(16640\,A^6\,a^{22}\,b^{27}\,d^2+59424\,A^6\,a^{20}\,b^{29}\,d^2+68220\,A^6\,a^{18}\,b^{31}\,d^2+25905\,A^6\,a^{16}\,b^{33}\,d^2+430\,A^6\,a^{14}\,b^{35}\,d^2+25\,A^6\,a^{12}\,b^{37}\,d^2+17408\,A^5\,B\,a^{23}\,b^{26}\,d^2+114560\,A^5\,B\,a^{21}\,b^{28}\,d^2+194292\,A^5\,B\,a^{19}\,b^{30}\,d^2+119398\,A^5\,B\,a^{17}\,b^{32}\,d^2+21168\,A^5\,B\,a^{15}\,b^{34}\,d^2-770\,A^5\,B\,a^{13}\,b^{36}\,d^2+4096\,A^4\,B^2\,a^{24}\,b^{25}\,d^2+164608\,A^4\,B^2\,a^{22}\,b^{27}\,d^2+408400\,A^4\,B^2\,a^{20}\,b^{29}\,d^2+361289\,A^4\,B^2\,a^{18}\,b^{31}\,d^2+123388\,A^4\,B^2\,a^{16}\,b^{33}\,d^2+10653\,A^4\,B^2\,a^{14}\,b^{35}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{37}\,d^2+112640\,A^3\,B^3\,a^{23}\,b^{26}\,d^2+293120\,A^3\,B^3\,a^{21}\,b^{28}\,d^2+267280\,A^3\,B^3\,a^{19}\,b^{30}\,d^2+92604\,A^3\,B^3\,a^{17}\,b^{32}\,d^2+5928\,A^3\,B^3\,a^{15}\,b^{34}\,d^2-580\,A^3\,B^3\,a^{13}\,b^{36}\,d^2+24576\,A^2\,B^4\,a^{24}\,b^{25}\,d^2+70400\,A^2\,B^4\,a^{22}\,b^{27}\,d^2+79616\,A^2\,B^4\,a^{20}\,b^{29}\,d^2+32614\,A^2\,B^4\,a^{18}\,b^{31}\,d^2-7211\,A^2\,B^4\,a^{16}\,b^{33}\,d^2-6472\,A^2\,B^4\,a^{14}\,b^{35}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{37}\,d^2+13312\,A\,B^5\,a^{23}\,b^{26}\,d^2+35200\,A\,B^5\,a^{21}\,b^{28}\,d^2+19804\,A\,B^5\,a^{19}\,b^{30}\,d^2-12202\,A\,B^5\,a^{17}\,b^{32}\,d^2-12040\,A\,B^5\,a^{15}\,b^{34}\,d^2-1794\,A\,B^5\,a^{13}\,b^{36}\,d^2+4096\,B^6\,a^{24}\,b^{25}\,d^2+10496\,B^6\,a^{22}\,b^{27}\,d^2+6544\,B^6\,a^{20}\,b^{29}\,d^2-2263\,B^6\,a^{18}\,b^{31}\,d^2-3030\,B^6\,a^{16}\,b^{33}\,d^2-679\,B^6\,a^{14}\,b^{35}\,d^2-72\,B^6\,a^{12}\,b^{37}\,d^2\right)}{d^8}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(368\,A^7\,a^{22}\,b^{28}+947\,A^7\,a^{20}\,b^{30}+729\,A^7\,a^{18}\,b^{32}+85\,A^7\,a^{16}\,b^{34}-65\,A^7\,a^{14}\,b^{36}+2496\,A^6\,B\,a^{23}\,b^{27}+8088\,A^6\,B\,a^{21}\,b^{29}+9459\,A^6\,B\,a^{19}\,b^{31}+4607\,A^6\,B\,a^{17}\,b^{33}+725\,A^6\,B\,a^{15}\,b^{35}-15\,A^6\,B\,a^{13}\,b^{37}+2176\,A^5\,B^2\,a^{24}\,b^{26}+8032\,A^5\,B^2\,a^{22}\,b^{28}+10912\,A^5\,B^2\,a^{20}\,b^{30}+6366\,A^5\,B^2\,a^{18}\,b^{32}+1265\,A^5\,B^2\,a^{16}\,b^{34}-45\,A^5\,B^2\,a^{14}\,b^{36}+512\,A^4\,B^3\,a^{25}\,b^{25}+6752\,A^4\,B^3\,a^{23}\,b^{27}+18452\,A^4\,B^3\,a^{21}\,b^{29}+20274\,A^4\,B^3\,a^{19}\,b^{31}+9606\,A^4\,B^3\,a^{17}\,b^{33}+1507\,A^4\,B^3\,a^{15}\,b^{35}-37\,A^4\,B^3\,a^{13}\,b^{37}+4352\,A^3\,B^4\,a^{24}\,b^{26}+14960\,A^3\,B^4\,a^{22}\,b^{28}+18982\,A^3\,B^4\,a^{20}\,b^{30}+10563\,A^3\,B^4\,a^{18}\,b^{32}+2278\,A^3\,B^4\,a^{16}\,b^{34}+89\,A^3\,B^4\,a^{14}\,b^{36}+1024\,A^2\,B^5\,a^{25}\,b^{25}+6016\,A^2\,B^5\,a^{23}\,b^{27}+12640\,A^2\,B^5\,a^{21}\,b^{29}+12178\,A^2\,B^5\,a^{19}\,b^{31}+5373\,A^2\,B^5\,a^{17}\,b^{33}+818\,A^2\,B^5\,a^{15}\,b^{35}-25\,A^2\,B^5\,a^{13}\,b^{37}+2176\,A\,B^6\,a^{24}\,b^{26}+7296\,A\,B^6\,a^{22}\,b^{28}+9017\,A\,B^6\,a^{20}\,b^{30}+4926\,A\,B^6\,a^{18}\,b^{32}+1098\,A\,B^6\,a^{16}\,b^{34}+69\,A\,B^6\,a^{14}\,b^{36}+512\,B^7\,a^{25}\,b^{25}+1760\,B^7\,a^{23}\,b^{27}+2276\,B^7\,a^{21}\,b^{29}+1363\,B^7\,a^{19}\,b^{31}+374\,B^7\,a^{17}\,b^{33}+36\,B^7\,a^{15}\,b^{35}-3\,B^7\,a^{13}\,b^{37}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}-\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{24}\,b^{26}\,d^2+211456\,A^6\,a^{22}\,b^{28}\,d^2+579072\,A^6\,a^{20}\,b^{30}\,d^2+541176\,A^6\,a^{18}\,b^{32}\,d^2+168905\,A^6\,a^{16}\,b^{34}\,d^2-470\,A^6\,a^{14}\,b^{36}\,d^2+25\,A^6\,a^{12}\,b^{38}\,d^2+460800\,A^5\,B\,a^{23}\,b^{27}\,d^2+1361536\,A^5\,B\,a^{21}\,b^{29}\,d^2+1432560\,A^5\,B\,a^{19}\,b^{31}\,d^2+614690\,A^5\,B\,a^{17}\,b^{33}\,d^2+82036\,A^5\,B\,a^{15}\,b^{35}\,d^2-1150\,A^5\,B\,a^{13}\,b^{37}\,d^2+319488\,A^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\,b^{27}\,d^2+127328\,A^3\,B^2\,a^{20}\,b^{29}\,d^2+86411\,A^3\,B^2\,a^{18}\,b^{31}\,d^2+16550\,A^3\,B^2\,a^{16}\,b^{33}\,d^2-133\,A^3\,B^2\,a^{14}\,b^{35}\,d^2+39936\,A^2\,B^3\,a^{23}\,b^{26}\,d^2+74816\,A^2\,B^3\,a^{21}\,b^{28}\,d^2+28418\,A^2\,B^3\,a^{19}\,b^{30}\,d^2-11277\,A^2\,B^3\,a^{17}\,b^{32}\,d^2-4656\,A^2\,B^3\,a^{15}\,b^{34}\,d^2+159\,A^2\,B^3\,a^{13}\,b^{36}\,d^2+8192\,A\,B^4\,a^{24}\,b^{25}\,d^2+2688\,A\,B^4\,a^{22}\,b^{27}\,d^2-24592\,A\,B^4\,a^{20}\,b^{29}\,d^2-26838\,A\,B^4\,a^{18}\,b^{31}\,d^2-8795\,A\,B^4\,a^{16}\,b^{33}\,d^2-1045\,A\,B^4\,a^{14}\,b^{35}\,d^2-3584\,B^5\,a^{23}\,b^{26}\,d^2-8544\,B^5\,a^{21}\,b^{28}\,d^2-6942\,B^5\,a^{19}\,b^{30}\,d^2-2362\,B^5\,a^{17}\,b^{32}\,d^2-341\,B^5\,a^{15}\,b^{34}\,d^2+39\,B^5\,a^{13}\,b^{36}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(16640\,A^6\,a^{22}\,b^{27}\,d^2+59424\,A^6\,a^{20}\,b^{29}\,d^2+68220\,A^6\,a^{18}\,b^{31}\,d^2+25905\,A^6\,a^{16}\,b^{33}\,d^2+430\,A^6\,a^{14}\,b^{35}\,d^2+25\,A^6\,a^{12}\,b^{37}\,d^2+17408\,A^5\,B\,a^{23}\,b^{26}\,d^2+114560\,A^5\,B\,a^{21}\,b^{28}\,d^2+194292\,A^5\,B\,a^{19}\,b^{30}\,d^2+119398\,A^5\,B\,a^{17}\,b^{32}\,d^2+21168\,A^5\,B\,a^{15}\,b^{34}\,d^2-770\,A^5\,B\,a^{13}\,b^{36}\,d^2+4096\,A^4\,B^2\,a^{24}\,b^{25}\,d^2+164608\,A^4\,B^2\,a^{22}\,b^{27}\,d^2+408400\,A^4\,B^2\,a^{20}\,b^{29}\,d^2+361289\,A^4\,B^2\,a^{18}\,b^{31}\,d^2+123388\,A^4\,B^2\,a^{16}\,b^{33}\,d^2+10653\,A^4\,B^2\,a^{14}\,b^{35}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{37}\,d^2+112640\,A^3\,B^3\,a^{23}\,b^{26}\,d^2+293120\,A^3\,B^3\,a^{21}\,b^{28}\,d^2+267280\,A^3\,B^3\,a^{19}\,b^{30}\,d^2+92604\,A^3\,B^3\,a^{17}\,b^{32}\,d^2+5928\,A^3\,B^3\,a^{15}\,b^{34}\,d^2-580\,A^3\,B^3\,a^{13}\,b^{36}\,d^2+24576\,A^2\,B^4\,a^{24}\,b^{25}\,d^2+70400\,A^2\,B^4\,a^{22}\,b^{27}\,d^2+79616\,A^2\,B^4\,a^{20}\,b^{29}\,d^2+32614\,A^2\,B^4\,a^{18}\,b^{31}\,d^2-7211\,A^2\,B^4\,a^{16}\,b^{33}\,d^2-6472\,A^2\,B^4\,a^{14}\,b^{35}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{37}\,d^2+13312\,A\,B^5\,a^{23}\,b^{26}\,d^2+35200\,A\,B^5\,a^{21}\,b^{28}\,d^2+19804\,A\,B^5\,a^{19}\,b^{30}\,d^2-12202\,A\,B^5\,a^{17}\,b^{32}\,d^2-12040\,A\,B^5\,a^{15}\,b^{34}\,d^2-1794\,A\,B^5\,a^{13}\,b^{36}\,d^2+4096\,B^6\,a^{24}\,b^{25}\,d^2+10496\,B^6\,a^{22}\,b^{27}\,d^2+6544\,B^6\,a^{20}\,b^{29}\,d^2-2263\,B^6\,a^{18}\,b^{31}\,d^2-3030\,B^6\,a^{16}\,b^{33}\,d^2-679\,B^6\,a^{14}\,b^{35}\,d^2-72\,B^6\,a^{12}\,b^{37}\,d^2\right)}{d^8}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(368\,A^7\,a^{22}\,b^{28}+947\,A^7\,a^{20}\,b^{30}+729\,A^7\,a^{18}\,b^{32}+85\,A^7\,a^{16}\,b^{34}-65\,A^7\,a^{14}\,b^{36}+2496\,A^6\,B\,a^{23}\,b^{27}+8088\,A^6\,B\,a^{21}\,b^{29}+9459\,A^6\,B\,a^{19}\,b^{31}+4607\,A^6\,B\,a^{17}\,b^{33}+725\,A^6\,B\,a^{15}\,b^{35}-15\,A^6\,B\,a^{13}\,b^{37}+2176\,A^5\,B^2\,a^{24}\,b^{26}+8032\,A^5\,B^2\,a^{22}\,b^{28}+10912\,A^5\,B^2\,a^{20}\,b^{30}+6366\,A^5\,B^2\,a^{18}\,b^{32}+1265\,A^5\,B^2\,a^{16}\,b^{34}-45\,A^5\,B^2\,a^{14}\,b^{36}+512\,A^4\,B^3\,a^{25}\,b^{25}+6752\,A^4\,B^3\,a^{23}\,b^{27}+18452\,A^4\,B^3\,a^{21}\,b^{29}+20274\,A^4\,B^3\,a^{19}\,b^{31}+9606\,A^4\,B^3\,a^{17}\,b^{33}+1507\,A^4\,B^3\,a^{15}\,b^{35}-37\,A^4\,B^3\,a^{13}\,b^{37}+4352\,A^3\,B^4\,a^{24}\,b^{26}+14960\,A^3\,B^4\,a^{22}\,b^{28}+18982\,A^3\,B^4\,a^{20}\,b^{30}+10563\,A^3\,B^4\,a^{18}\,b^{32}+2278\,A^3\,B^4\,a^{16}\,b^{34}+89\,A^3\,B^4\,a^{14}\,b^{36}+1024\,A^2\,B^5\,a^{25}\,b^{25}+6016\,A^2\,B^5\,a^{23}\,b^{27}+12640\,A^2\,B^5\,a^{21}\,b^{29}+12178\,A^2\,B^5\,a^{19}\,b^{31}+5373\,A^2\,B^5\,a^{17}\,b^{33}+818\,A^2\,B^5\,a^{15}\,b^{35}-25\,A^2\,B^5\,a^{13}\,b^{37}+2176\,A\,B^6\,a^{24}\,b^{26}+7296\,A\,B^6\,a^{22}\,b^{28}+9017\,A\,B^6\,a^{20}\,b^{30}+4926\,A\,B^6\,a^{18}\,b^{32}+1098\,A\,B^6\,a^{16}\,b^{34}+69\,A\,B^6\,a^{14}\,b^{36}+512\,B^7\,a^{25}\,b^{25}+1760\,B^7\,a^{23}\,b^{27}+2276\,B^7\,a^{21}\,b^{29}+1363\,B^7\,a^{19}\,b^{31}+374\,B^7\,a^{17}\,b^{33}+36\,B^7\,a^{15}\,b^{35}-3\,B^7\,a^{13}\,b^{37}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,1{}\mathrm{i}}{\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{24}\,b^{26}\,d^2+211456\,A^6\,a^{22}\,b^{28}\,d^2+579072\,A^6\,a^{20}\,b^{30}\,d^2+541176\,A^6\,a^{18}\,b^{32}\,d^2+168905\,A^6\,a^{16}\,b^{34}\,d^2-470\,A^6\,a^{14}\,b^{36}\,d^2+25\,A^6\,a^{12}\,b^{38}\,d^2+460800\,A^5\,B\,a^{23}\,b^{27}\,d^2+1361536\,A^5\,B\,a^{21}\,b^{29}\,d^2+1432560\,A^5\,B\,a^{19}\,b^{31}\,d^2+614690\,A^5\,B\,a^{17}\,b^{33}\,d^2+82036\,A^5\,B\,a^{15}\,b^{35}\,d^2-1150\,A^5\,B\,a^{13}\,b^{37}\,d^2+319488\,A^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\,b^{27}\,d^2+127328\,A^3\,B^2\,a^{20}\,b^{29}\,d^2+86411\,A^3\,B^2\,a^{18}\,b^{31}\,d^2+16550\,A^3\,B^2\,a^{16}\,b^{33}\,d^2-133\,A^3\,B^2\,a^{14}\,b^{35}\,d^2+39936\,A^2\,B^3\,a^{23}\,b^{26}\,d^2+74816\,A^2\,B^3\,a^{21}\,b^{28}\,d^2+28418\,A^2\,B^3\,a^{19}\,b^{30}\,d^2-11277\,A^2\,B^3\,a^{17}\,b^{32}\,d^2-4656\,A^2\,B^3\,a^{15}\,b^{34}\,d^2+159\,A^2\,B^3\,a^{13}\,b^{36}\,d^2+8192\,A\,B^4\,a^{24}\,b^{25}\,d^2+2688\,A\,B^4\,a^{22}\,b^{27}\,d^2-24592\,A\,B^4\,a^{20}\,b^{29}\,d^2-26838\,A\,B^4\,a^{18}\,b^{31}\,d^2-8795\,A\,B^4\,a^{16}\,b^{33}\,d^2-1045\,A\,B^4\,a^{14}\,b^{35}\,d^2-3584\,B^5\,a^{23}\,b^{26}\,d^2-8544\,B^5\,a^{21}\,b^{28}\,d^2-6942\,B^5\,a^{19}\,b^{30}\,d^2-2362\,B^5\,a^{17}\,b^{32}\,d^2-341\,B^5\,a^{15}\,b^{34}\,d^2+39\,B^5\,a^{13}\,b^{36}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(16640\,A^6\,a^{22}\,b^{27}\,d^2+59424\,A^6\,a^{20}\,b^{29}\,d^2+68220\,A^6\,a^{18}\,b^{31}\,d^2+25905\,A^6\,a^{16}\,b^{33}\,d^2+430\,A^6\,a^{14}\,b^{35}\,d^2+25\,A^6\,a^{12}\,b^{37}\,d^2+17408\,A^5\,B\,a^{23}\,b^{26}\,d^2+114560\,A^5\,B\,a^{21}\,b^{28}\,d^2+194292\,A^5\,B\,a^{19}\,b^{30}\,d^2+119398\,A^5\,B\,a^{17}\,b^{32}\,d^2+21168\,A^5\,B\,a^{15}\,b^{34}\,d^2-770\,A^5\,B\,a^{13}\,b^{36}\,d^2+4096\,A^4\,B^2\,a^{24}\,b^{25}\,d^2+164608\,A^4\,B^2\,a^{22}\,b^{27}\,d^2+408400\,A^4\,B^2\,a^{20}\,b^{29}\,d^2+361289\,A^4\,B^2\,a^{18}\,b^{31}\,d^2+123388\,A^4\,B^2\,a^{16}\,b^{33}\,d^2+10653\,A^4\,B^2\,a^{14}\,b^{35}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{37}\,d^2+112640\,A^3\,B^3\,a^{23}\,b^{26}\,d^2+293120\,A^3\,B^3\,a^{21}\,b^{28}\,d^2+267280\,A^3\,B^3\,a^{19}\,b^{30}\,d^2+92604\,A^3\,B^3\,a^{17}\,b^{32}\,d^2+5928\,A^3\,B^3\,a^{15}\,b^{34}\,d^2-580\,A^3\,B^3\,a^{13}\,b^{36}\,d^2+24576\,A^2\,B^4\,a^{24}\,b^{25}\,d^2+70400\,A^2\,B^4\,a^{22}\,b^{27}\,d^2+79616\,A^2\,B^4\,a^{20}\,b^{29}\,d^2+32614\,A^2\,B^4\,a^{18}\,b^{31}\,d^2-7211\,A^2\,B^4\,a^{16}\,b^{33}\,d^2-6472\,A^2\,B^4\,a^{14}\,b^{35}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{37}\,d^2+13312\,A\,B^5\,a^{23}\,b^{26}\,d^2+35200\,A\,B^5\,a^{21}\,b^{28}\,d^2+19804\,A\,B^5\,a^{19}\,b^{30}\,d^2-12202\,A\,B^5\,a^{17}\,b^{32}\,d^2-12040\,A\,B^5\,a^{15}\,b^{34}\,d^2-1794\,A\,B^5\,a^{13}\,b^{36}\,d^2+4096\,B^6\,a^{24}\,b^{25}\,d^2+10496\,B^6\,a^{22}\,b^{27}\,d^2+6544\,B^6\,a^{20}\,b^{29}\,d^2-2263\,B^6\,a^{18}\,b^{31}\,d^2-3030\,B^6\,a^{16}\,b^{33}\,d^2-679\,B^6\,a^{14}\,b^{35}\,d^2-72\,B^6\,a^{12}\,b^{37}\,d^2\right)}{d^8}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(368\,A^7\,a^{22}\,b^{28}+947\,A^7\,a^{20}\,b^{30}+729\,A^7\,a^{18}\,b^{32}+85\,A^7\,a^{16}\,b^{34}-65\,A^7\,a^{14}\,b^{36}+2496\,A^6\,B\,a^{23}\,b^{27}+8088\,A^6\,B\,a^{21}\,b^{29}+9459\,A^6\,B\,a^{19}\,b^{31}+4607\,A^6\,B\,a^{17}\,b^{33}+725\,A^6\,B\,a^{15}\,b^{35}-15\,A^6\,B\,a^{13}\,b^{37}+2176\,A^5\,B^2\,a^{24}\,b^{26}+8032\,A^5\,B^2\,a^{22}\,b^{28}+10912\,A^5\,B^2\,a^{20}\,b^{30}+6366\,A^5\,B^2\,a^{18}\,b^{32}+1265\,A^5\,B^2\,a^{16}\,b^{34}-45\,A^5\,B^2\,a^{14}\,b^{36}+512\,A^4\,B^3\,a^{25}\,b^{25}+6752\,A^4\,B^3\,a^{23}\,b^{27}+18452\,A^4\,B^3\,a^{21}\,b^{29}+20274\,A^4\,B^3\,a^{19}\,b^{31}+9606\,A^4\,B^3\,a^{17}\,b^{33}+1507\,A^4\,B^3\,a^{15}\,b^{35}-37\,A^4\,B^3\,a^{13}\,b^{37}+4352\,A^3\,B^4\,a^{24}\,b^{26}+14960\,A^3\,B^4\,a^{22}\,b^{28}+18982\,A^3\,B^4\,a^{20}\,b^{30}+10563\,A^3\,B^4\,a^{18}\,b^{32}+2278\,A^3\,B^4\,a^{16}\,b^{34}+89\,A^3\,B^4\,a^{14}\,b^{36}+1024\,A^2\,B^5\,a^{25}\,b^{25}+6016\,A^2\,B^5\,a^{23}\,b^{27}+12640\,A^2\,B^5\,a^{21}\,b^{29}+12178\,A^2\,B^5\,a^{19}\,b^{31}+5373\,A^2\,B^5\,a^{17}\,b^{33}+818\,A^2\,B^5\,a^{15}\,b^{35}-25\,A^2\,B^5\,a^{13}\,b^{37}+2176\,A\,B^6\,a^{24}\,b^{26}+7296\,A\,B^6\,a^{22}\,b^{28}+9017\,A\,B^6\,a^{20}\,b^{30}+4926\,A\,B^6\,a^{18}\,b^{32}+1098\,A\,B^6\,a^{16}\,b^{34}+69\,A\,B^6\,a^{14}\,b^{36}+512\,B^7\,a^{25}\,b^{25}+1760\,B^7\,a^{23}\,b^{27}+2276\,B^7\,a^{21}\,b^{29}+1363\,B^7\,a^{19}\,b^{31}+374\,B^7\,a^{17}\,b^{33}+36\,B^7\,a^{15}\,b^{35}-3\,B^7\,a^{13}\,b^{37}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{24}\,b^{26}\,d^2+211456\,A^6\,a^{22}\,b^{28}\,d^2+579072\,A^6\,a^{20}\,b^{30}\,d^2+541176\,A^6\,a^{18}\,b^{32}\,d^2+168905\,A^6\,a^{16}\,b^{34}\,d^2-470\,A^6\,a^{14}\,b^{36}\,d^2+25\,A^6\,a^{12}\,b^{38}\,d^2+460800\,A^5\,B\,a^{23}\,b^{27}\,d^2+1361536\,A^5\,B\,a^{21}\,b^{29}\,d^2+1432560\,A^5\,B\,a^{19}\,b^{31}\,d^2+614690\,A^5\,B\,a^{17}\,b^{33}\,d^2+82036\,A^5\,B\,a^{15}\,b^{35}\,d^2-1150\,A^5\,B\,a^{13}\,b^{37}\,d^2+319488\,A^4\,B^2\,a^{24}\,b^{26}\,d^2+1091328\,A^4\,B^2\,a^{22}\,b^{28}\,d^2+1527456\,A^4\,B^2\,a^{20}\,b^{30}\,d^2+1062069\,A^4\,B^2\,a^{18}\,b^{32}\,d^2+326196\,A^4\,B^2\,a^{16}\,b^{34}\,d^2+19097\,A^4\,B^2\,a^{14}\,b^{36}\,d^2+10\,A^4\,B^2\,a^{12}\,b^{38}\,d^2+65536\,A^3\,B^3\,a^{25}\,b^{25}\,d^2+331776\,A^3\,B^3\,a^{23}\,b^{27}\,d^2+667904\,A^3\,B^3\,a^{21}\,b^{29}\,d^2+566296\,A^3\,B^3\,a^{19}\,b^{31}\,d^2+145044\,A^3\,B^3\,a^{17}\,b^{33}\,d^2-21056\,A^3\,B^3\,a^{15}\,b^{35}\,d^2-764\,A^3\,B^3\,a^{13}\,b^{37}\,d^2+36864\,A^2\,B^4\,a^{24}\,b^{26}\,d^2+155648\,A^2\,B^4\,a^{22}\,b^{28}\,d^2+210240\,A^2\,B^4\,a^{20}\,b^{30}\,d^2+95626\,A^2\,B^4\,a^{18}\,b^{32}\,d^2-11843\,A^2\,B^4\,a^{16}\,b^{34}\,d^2-15620\,A^2\,B^4\,a^{14}\,b^{36}\,d^2-23\,A^2\,B^4\,a^{12}\,b^{38}\,d^2+55296\,A\,B^5\,a^{23}\,b^{27}\,d^2+156800\,A\,B^5\,a^{21}\,b^{29}\,d^2+134984\,A\,B^5\,a^{19}\,b^{31}\,d^2+15026\,A\,B^5\,a^{17}\,b^{33}\,d^2-20820\,A\,B^5\,a^{15}\,b^{35}\,d^2-2494\,A\,B^5\,a^{13}\,b^{37}\,d^2+16384\,B^6\,a^{24}\,b^{26}\,d^2+47872\,B^6\,a^{22}\,b^{28}\,d^2+43936\,B^6\,a^{20}\,b^{30}\,d^2+9181\,B^6\,a^{18}\,b^{32}\,d^2-3534\,B^6\,a^{16}\,b^{34}\,d^2-355\,B^6\,a^{14}\,b^{36}\,d^2-72\,B^6\,a^{12}\,b^{38}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(8192\,B\,a^{21}\,b^{26}\,d^6+2048\,A\,a^{20}\,b^{27}\,d^6+14848\,B\,a^{19}\,b^{28}\,d^6-3328\,A\,a^{18}\,b^{29}\,d^6+5696\,B\,a^{17}\,b^{30}\,d^6-12536\,A\,a^{16}\,b^{31}\,d^6-720\,B\,a^{15}\,b^{32}\,d^6-7160\,A\,a^{14}\,b^{33}\,d^6+240\,B\,a^{13}\,b^{34}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}-\frac{274877906944\,\left(299008\,A^2\,a^{20}\,b^{27}\,d^6+573952\,A^2\,a^{18}\,b^{29}\,d^6+272464\,A^2\,a^{16}\,b^{31}\,d^6-1600\,A^2\,a^{14}\,b^{33}\,d^6+1200\,A^2\,a^{12}\,b^{35}\,d^6+344064\,A\,B\,a^{21}\,b^{26}\,d^6+661504\,A\,B\,a^{19}\,b^{28}\,d^6+303168\,A\,B\,a^{17}\,b^{30}\,d^6-25856\,A\,B\,a^{15}\,b^{32}\,d^6-11200\,A\,B\,a^{13}\,b^{34}\,d^6+65536\,B^2\,a^{22}\,b^{25}\,d^6+102400\,B^2\,a^{20}\,b^{27}\,d^6+26880\,B^2\,a^{18}\,b^{29}\,d^6-320\,B^2\,a^{16}\,b^{31}\,d^6+8352\,B^2\,a^{14}\,b^{33}\,d^6-1440\,B^2\,a^{12}\,b^{35}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{22}\,b^{26}\,d^6+1351680\,A^2\,a^{20}\,b^{28}\,d^6+2445312\,A^2\,a^{18}\,b^{30}\,d^6+1125488\,A^2\,a^{16}\,b^{32}\,d^6-32160\,A^2\,a^{14}\,b^{34}\,d^6+1200\,A^2\,a^{12}\,b^{36}\,d^6+1343488\,A\,B\,a^{21}\,b^{27}\,d^6+2656256\,A\,B\,a^{19}\,b^{29}\,d^6+1294592\,A\,B\,a^{17}\,b^{31}\,d^6-34112\,A\,B\,a^{15}\,b^{33}\,d^6-16320\,A\,B\,a^{13}\,b^{35}\,d^6+262144\,B^2\,a^{22}\,b^{26}\,d^6+405504\,B^2\,a^{20}\,b^{28}\,d^6+68096\,B^2\,a^{18}\,b^{30}\,d^6-41440\,B^2\,a^{16}\,b^{32}\,d^6+32256\,B^2\,a^{14}\,b^{34}\,d^6-1440\,B^2\,a^{12}\,b^{36}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(6912\,A^3\,a^{20}\,b^{28}\,d^4+7600\,A^3\,a^{18}\,b^{30}\,d^4-3902\,A^3\,a^{16}\,b^{32}\,d^4-4590\,A^3\,a^{14}\,b^{34}\,d^4+46080\,A^2\,B\,a^{21}\,b^{27}\,d^4+93568\,A^2\,B\,a^{19}\,b^{29}\,d^4+52154\,A^2\,B\,a^{17}\,b^{31}\,d^4+4486\,A^2\,B\,a^{15}\,b^{33}\,d^4-180\,A^2\,B\,a^{13}\,b^{35}\,d^4+43008\,A\,B^2\,a^{22}\,b^{26}\,d^4+95744\,A\,B^2\,a^{20}\,b^{28}\,d^4+69720\,A\,B^2\,a^{18}\,b^{30}\,d^4+21906\,A\,B^2\,a^{16}\,b^{32}\,d^4+4922\,A\,B^2\,a^{14}\,b^{34}\,d^4+8192\,B^3\,a^{23}\,b^{25}\,d^4+15872\,B^3\,a^{21}\,b^{27}\,d^4+9024\,B^3\,a^{19}\,b^{29}\,d^4+2494\,B^3\,a^{17}\,b^{31}\,d^4+982\,B^3\,a^{15}\,b^{33}\,d^4-168\,B^3\,a^{13}\,b^{35}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{A^2\,a\,1{}\mathrm{i}+A^2\,b-B^2\,a\,1{}\mathrm{i}-B^2\,b+2\,A\,B\,a-A\,B\,b\,2{}\mathrm{i}}{4\,d^2}}+\frac{274877906944\,\left(4096\,A^4\,a^{22}\,b^{26}\,d^4+164352\,A^4\,a^{20}\,b^{28}\,d^4+307152\,A^4\,a^{18}\,b^{30}\,d^4+149228\,A^4\,a^{16}\,b^{32}\,d^4+2360\,A^4\,a^{14}\,b^{34}\,d^4+300\,A^4\,a^{12}\,b^{36}\,d^4+489472\,A^3\,B\,a^{21}\,b^{27}\,d^4+1004928\,A^3\,B\,a^{19}\,b^{29}\,d^4+569576\,A^3\,B\,a^{17}\,b^{31}\,d^4+47408\,A^3\,B\,a^{15}\,b^{33}\,d^4-5880\,A^3\,B\,a^{13}\,b^{35}\,d^4+389120\,A^2\,B^2\,a^{22}\,b^{26}\,d^4+711168\,A^2\,B^2\,a^{20}\,b^{28}\,d^4+294128\,A^2\,B^2\,a^{18}\,b^{30}\,d^4-27264\,A^2\,B^2\,a^{16}\,b^{32}\,d^4+1264\,A^2\,B^2\,a^{14}\,b^{34}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{36}\,d^4+81920\,A\,B^3\,a^{23}\,b^{25}\,d^4+57344\,A\,B^3\,a^{21}\,b^{27}\,d^4-100672\,A\,B^3\,a^{19}\,b^{29}\,d^4-55832\,A\,B^3\,a^{17}\,b^{31}\,d^4+28592\,A\,B^3\,a^{15}\,b^{33}\,d^4+7880\,A\,B^3\,a^{13}\,b^{35}\,d^4-24576\,B^4\,a^{22}\,b^{26}\,d^4-43008\,B^4\,a^{20}\,b^{28}\,d^4-16048\,B^4\,a^{18}\,b^{30}\,d^4+2308\,B^4\,a^{16}\,b^{32}\,d^4+328\,B^4\,a^{14}\,b^{34}\,d^4+484\,B^4\,a^{12}\,b^{36}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(311296\,A^4\,a^{22}\,b^{27}\,d^4+1384960\,A^4\,a^{20}\,b^{29}\,d^4+1819680\,A^4\,a^{18}\,b^{31}\,d^4+738524\,A^4\,a^{16}\,b^{33}\,d^4-6920\,A^4\,a^{14}\,b^{35}\,d^4+300\,A^4\,a^{12}\,b^{37}\,d^4+327680\,A^3\,B\,a^{23}\,b^{26}\,d^4+2617344\,A^3\,B\,a^{21}\,b^{28}\,d^4+4405760\,A^3\,B\,a^{19}\,b^{30}\,d^4+2287096\,A^3\,B\,a^{17}\,b^{32}\,d^4+163152\,A^3\,B\,a^{15}\,b^{34}\,d^4-8680\,A^3\,B\,a^{13}\,b^{36}\,d^4+65536\,A^2\,B^2\,a^{24}\,b^{25}\,d^4+1523712\,A^2\,B^2\,a^{22}\,b^{27}\,d^4+2561024\,A^2\,B^2\,a^{20}\,b^{29}\,d^4+865008\,A^2\,B^2\,a^{18}\,b^{31}\,d^4-212608\,A^2\,B^2\,a^{16}\,b^{33}\,d^4+23984\,A^2\,B^2\,a^{14}\,b^{35}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{37}\,d^4+294912\,A\,B^3\,a^{23}\,b^{26}\,d^4+124928\,A\,B^3\,a^{21}\,b^{28}\,d^4-599296\,A\,B^3\,a^{19}\,b^{30}\,d^4-394344\,A\,B^3\,a^{17}\,b^{32}\,d^4+45712\,A\,B^3\,a^{15}\,b^{34}\,d^4+11192\,A\,B^3\,a^{13}\,b^{36}\,d^4-110592\,B^4\,a^{22}\,b^{27}\,d^4-205824\,B^4\,a^{20}\,b^{29}\,d^4-88064\,B^4\,a^{18}\,b^{31}\,d^4+1236\,B^4\,a^{16}\,b^{33}\,d^4-5368\,B^4\,a^{14}\,b^{35}\,d^4+484\,B^4\,a^{12}\,b^{37}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^5\,a^{22}\,b^{27}\,d^2+2864\,A^5\,a^{20}\,b^{29}\,d^2+3641\,A^5\,a^{18}\,b^{31}\,d^2-55\,A^5\,a^{16}\,b^{33}\,d^2-960\,A^5\,a^{14}\,b^{35}\,d^2+512\,A^4\,B\,a^{23}\,b^{26}\,d^2+27296\,A^4\,B\,a^{21}\,b^{28}\,d^2+55284\,A^4\,B\,a^{19}\,b^{30}\,d^2+33597\,A^4\,B\,a^{17}\,b^{32}\,d^2+4977\,A^4\,B\,a^{15}\,b^{34}\,d^2-120\,A^4\,B\,a^{13}\,b^{36}\,d^2+57600\,A^3\,B^2\,a^{22}\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\,A^3\,B^3\,a^{21}\,b^{31}\,d^2-7744\,A^3\,B^3\,a^{19}\,b^{33}\,d^2-1768\,A^3\,B^3\,a^{17}\,b^{35}\,d^2-9344\,A^2\,B^4\,a^{26}\,b^{26}\,d^2-18400\,A^2\,B^4\,a^{24}\,b^{28}\,d^2-5929\,A^2\,B^4\,a^{22}\,b^{30}\,d^2+6351\,A^2\,B^4\,a^{20}\,b^{32}\,d^2+3193\,A^2\,B^4\,a^{18}\,b^{34}\,d^2-31\,A^2\,B^4\,a^{16}\,b^{36}\,d^2-2048\,A\,B^5\,a^{27}\,b^{25}\,d^2+512\,A\,B^5\,a^{25}\,b^{27}\,d^2+11792\,A\,B^5\,a^{23}\,b^{29}\,d^2+13964\,A\,B^5\,a^{21}\,b^{31}\,d^2+4712\,A\,B^5\,a^{19}\,b^{33}\,d^2-20\,A\,B^5\,a^{17}\,b^{35}\,d^2+1408\,B^6\,a^{26}\,b^{26}\,d^2+3872\,B^6\,a^{24}\,b^{28}\,d^2+3443\,B^6\,a^{22}\,b^{30}\,d^2+903\,B^6\,a^{20}\,b^{32}\,d^2-59\,B^6\,a^{18}\,b^{34}\,d^2+17\,B^6\,a^{16}\,b^{36}\,d^2\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{\sqrt{b}\,d}\right)\,\left(2\,A\,b+B\,a\right)}{\sqrt{b}\,d}+\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-512\,A^8\,a^{26}\,b^{27}-1919\,A^8\,a^{24}\,b^{29}-2688\,A^8\,a^{22}\,b^{31}-1662\,A^8\,a^{20}\,b^{33}-376\,A^8\,a^{18}\,b^{35}+5\,A^8\,a^{16}\,b^{37}-512\,A^7\,B\,a^{27}\,b^{26}-1920\,A^7\,B\,a^{25}\,b^{28}-2948\,A^7\,B\,a^{23}\,b^{30}-2420\,A^7\,B\,a^{21}\,b^{32}-1116\,A^7\,B\,a^{19}\,b^{34}-236\,A^7\,B\,a^{17}\,b^{36}-128\,A^6\,B^2\,a^{28}\,b^{25}-992\,A^6\,B^2\,a^{26}\,b^{27}-2845\,A^6\,B^2\,a^{24}\,b^{29}-3845\,A^6\,B^2\,a^{22}\,b^{31}-2475\,A^6\,B^2\,a^{20}\,b^{33}-603\,A^6\,B^2\,a^{18}\,b^{35}+8\,A^6\,B^2\,a^{16}\,b^{37}-512\,A^5\,B^3\,a^{27}\,b^{26}-1984\,A^5\,B^3\,a^{25}\,b^{28}-3392\,A^5\,B^3\,a^{23}\,b^{30}-3356\,A^5\,B^3\,a^{21}\,b^{32}-1912\,A^5\,B^3\,a^{19}\,b^{34}-476\,A^5\,B^3\,a^{17}\,b^{36}-128\,A^4\,B^4\,a^{28}\,b^{25}+32\,A^4\,B^4\,a^{26}\,b^{27}+741\,A^4\,B^4\,a^{24}\,b^{29}+795\,A^4\,B^4\,a^{22}\,b^{31}+137\,A^4\,B^4\,a^{20}\,b^{33}-75\,A^4\,B^4\,a^{18}\,b^{35}+2\,A^4\,B^4\,a^{16}\,b^{37}+512\,A^3\,B^5\,a^{27}\,b^{26}+1792\,A^3\,B^5\,a^{25}\,b^{28}+2060\,A^3\,B^5\,a^{23}\,b^{30}+548\,A^3\,B^5\,a^{21}\,b^{32}-476\,A^3\,B^5\,a^{19}\,b^{34}-244\,A^3\,B^5\,a^{17}\,b^{36}+128\,A^2\,B^6\,a^{28}\,b^{25}+992\,A^2\,B^6\,a^{26}\,b^{27}+2341\,A^2\,B^6\,a^{24}\,b^{29}+2373\,A^2\,B^6\,a^{22}\,b^{31}+1051\,A^2\,B^6\,a^{20}\,b^{33}+155\,A^2\,B^6\,a^{18}\,b^{35}+512\,A\,B^7\,a^{27}\,b^{26}+1856\,A\,B^7\,a^{25}\,b^{28}+2504\,A\,B^7\,a^{23}\,b^{30}+1484\,A\,B^7\,a^{21}\,b^{32}+320\,A\,B^7\,a^{19}\,b^{34}-4\,A\,B^7\,a^{17}\,b^{36}+128\,B^8\,a^{28}\,b^{25}+480\,B^8\,a^{26}\,b^{27}+674\,B^8\,a^{24}\,b^{29}+421\,B^8\,a^{22}\,b^{31}+101\,B^8\,a^{20}\,b^{33}+3\,B^8\,a^{18}\,b^{35}+B^8\,a^{16}\,b^{37}\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{\sqrt{b}\,d}-\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{\left(\frac{281474976710656\,\left(64\,A^7\,a^{26}\,b^{26}\,d^2+3576\,A^7\,a^{24}\,b^{28}\,d^2+10135\,A^7\,a^{22}\,b^{30}\,d^2+9813\,A^7\,a^{20}\,b^{32}\,d^2+3205\,A^7\,a^{18}\,b^{34}\,d^2+15\,A^7\,a^{16}\,b^{36}\,d^2+8464\,A^6\,B\,a^{25}\,b^{27}\,d^2+24919\,A^6\,B\,a^{23}\,b^{29}\,d^2+24869\,A^6\,B\,a^{21}\,b^{31}\,d^2+8837\,A^6\,B\,a^{19}\,b^{33}\,d^2+423\,A^6\,B\,a^{17}\,b^{35}\,d^2+6144\,A^5\,B^2\,a^{26}\,b^{26}\,d^2+21796\,A^5\,B^2\,a^{24}\,b^{28}\,d^2+29729\,A^5\,B^2\,a^{22}\,b^{30}\,d^2+18675\,A^5\,B^2\,a^{20}\,b^{32}\,d^2+4627\,A^5\,B^2\,a^{18}\,b^{34}\,d^2+29\,A^5\,B^2\,a^{16}\,b^{36}\,d^2+1280\,A^4\,B^3\,a^{27}\,b^{25}\,d^2+13520\,A^4\,B^3\,a^{25}\,b^{27}\,d^2+32541\,A^4\,B^3\,a^{23}\,b^{29}\,d^2+29135\,A^4\,B^3\,a^{21}\,b^{31}\,d^2+8327\,A^4\,B^3\,a^{19}\,b^{33}\,d^2-507\,A^4\,B^3\,a^{17}\,b^{35}\,d^2+7232\,A^3\,B^4\,a^{26}\,b^{26}\,d^2+21072\,A^3\,B^4\,a^{24}\,b^{28}\,d^2+20781\,A^3\,B^4\,a^{22}\,b^{30}\,d^2+7223\,A^3\,B^4\,a^{20}\,b^{32}\,d^2+231\,A^3\,B^4\,a^{18}\,b^{34}\,d^2-51\,A^3\,B^4\,a^{16}\,b^{36}\,d^2+1536\,A^2\,B^5\,a^{27}\,b^{25}\,d^2+5616\,A^2\,B^5\,a^{25}\,b^{27}\,d^2+7701\,A^2\,B^5\,a^{23}\,b^{29}\,d^2+3759\,A^2\,B^5\,a^{21}\,b^{31}\,d^2-801\,A^2\,B^5\,a^{19}\,b^{33}\,d^2-939\,A^2\,B^5\,a^{17}\,b^{35}\,d^2+1152\,A\,B^6\,a^{26}\,b^{26}\,d^2+2852\,A\,B^6\,a^{24}\,b^{28}\,d^2+1187\,A\,B^6\,a^{22}\,b^{30}\,d^2-1639\,A\,B^6\,a^{20}\,b^{32}\,d^2-1191\,A\,B^6\,a^{18}\,b^{34}\,d^2-65\,A\,B^6\,a^{16}\,b^{36}\,d^2+256\,B^7\,a^{27}\,b^{25}\,d^2+560\,B^7\,a^{25}\,b^{27}\,d^2+79\,B^7\,a^{23}\,b^{29}\,d^2-507\,B^7\,a^{21}\,b^{31}\,d^2-291\,B^7\,a^{19}\,b^{33}\,d^2-9\,B^7\,a^{17}\,b^{35}\,d^2\right)}{d^9}-\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{281474976710656\,\left(4928\,A^5\,a^{24}\,b^{27}\,d^4+24572\,A^5\,a^{22}\,b^{29}\,d^4+34540\,A^5\,a^{20}\,b^{31}\,d^4+15076\,A^5\,a^{18}\,b^{33}\,d^4+180\,A^5\,a^{16}\,b^{35}\,d^4+5376\,A^4\,B\,a^{25}\,b^{26}\,d^4+55520\,A^4\,B\,a^{23}\,b^{28}\,d^4+94152\,A^4\,B\,a^{21}\,b^{30}\,d^4+43248\,A^4\,B\,a^{19}\,b^{32}\,d^4-760\,A^4\,B\,a^{17}\,b^{34}\,d^4+1024\,A^3\,B^2\,a^{26}\,b^{25}\,d^4+56576\,A^3\,B^2\,a^{24}\,b^{27}\,d^4+98168\,A^3\,B^2\,a^{22}\,b^{29}\,d^4+30504\,A^3\,B^2\,a^{20}\,b^{31}\,d^4-12312\,A^3\,B^2\,a^{18}\,b^{33}\,d^4-200\,A^3\,B^2\,a^{16}\,b^{35}\,d^4+29440\,A^2\,B^3\,a^{25}\,b^{26}\,d^4+40304\,A^2\,B^3\,a^{23}\,b^{28}\,d^4-4464\,A^2\,B^3\,a^{21}\,b^{30}\,d^4-12080\,A^2\,B^3\,a^{19}\,b^{32}\,d^4+3248\,A^2\,B^3\,a^{17}\,b^{34}\,d^4+5120\,A\,B^4\,a^{26}\,b^{25}\,d^4-64\,A\,B^4\,a^{24}\,b^{27}\,d^4-11076\,A\,B^4\,a^{22}\,b^{29}\,d^4-1092\,A\,B^4\,a^{20}\,b^{31}\,d^4+5188\,A\,B^4\,a^{18}\,b^{33}\,d^4+388\,A\,B^4\,a^{16}\,b^{35}\,d^4-1536\,B^5\,a^{25}\,b^{26}\,d^4-1840\,B^5\,a^{23}\,b^{28}\,d^4+840\,B^5\,a^{21}\,b^{30}\,d^4+1056\,B^5\,a^{19}\,b^{32}\,d^4-88\,B^5\,a^{17}\,b^{34}\,d^4\right)}{d^9}-\frac{\left(\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9728\,A^4\,a^{24}\,b^{27}\,d^4+43232\,A^4\,a^{22}\,b^{29}\,d^4+57252\,A^4\,a^{20}\,b^{31}\,d^4+23448\,A^4\,a^{18}\,b^{33}\,d^4-300\,A^4\,a^{16}\,b^{35}\,d^4+10240\,A^3\,B\,a^{25}\,b^{26}\,d^4+77312\,A^3\,B\,a^{23}\,b^{28}\,d^4+128336\,A^3\,B\,a^{21}\,b^{30}\,d^4+64864\,A^3\,B\,a^{19}\,b^{32}\,d^4+3600\,A^3\,B\,a^{17}\,b^{34}\,d^4+2048\,A^2\,B^2\,a^{26}\,b^{25}\,d^4+33280\,A^2\,B^2\,a^{24}\,b^{27}\,d^4+42192\,A^2\,B^2\,a^{22}\,b^{29}\,d^4-7928\,A^2\,B^2\,a^{20}\,b^{31}\,d^4-18624\,A^2\,B^2\,a^{18}\,b^{33}\,d^4+264\,A^2\,B^2\,a^{16}\,b^{35}\,d^4-2048\,A\,B^3\,a^{25}\,b^{26}\,d^4-27136\,A\,B^3\,a^{23}\,b^{28}\,d^4-48592\,A\,B^3\,a^{21}\,b^{30}\,d^4-23520\,A\,B^3\,a^{19}\,b^{32}\,d^4-16\,A\,B^3\,a^{17}\,b^{34}\,d^4-2048\,B^4\,a^{26}\,b^{25}\,d^4-8192\,B^4\,a^{24}\,b^{27}\,d^4-9008\,B^4\,a^{22}\,b^{29}\,d^4-1660\,B^4\,a^{20}\,b^{31}\,d^4+1096\,B^4\,a^{18}\,b^{33}\,d^4-108\,B^4\,a^{16}\,b^{35}\,d^4\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}+\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{281474976710656\,\left(1024\,A^3\,a^{24}\,b^{26}\,d^6+25984\,A^3\,a^{22}\,b^{28}\,d^6+49616\,A^3\,a^{20}\,b^{30}\,d^6+25376\,A^3\,a^{18}\,b^{32}\,d^6+720\,A^3\,a^{16}\,b^{34}\,d^6+44288\,A^2\,B\,a^{23}\,b^{27}\,d^6+84272\,A^2\,B\,a^{21}\,b^{29}\,d^6+35680\,A^2\,B\,a^{19}\,b^{31}\,d^6-4304\,A^2\,B\,a^{17}\,b^{33}\,d^6+26624\,A\,B^2\,a^{24}\,b^{26}\,d^6+44864\,A\,B^2\,a^{22}\,b^{28}\,d^6+8848\,A\,B^2\,a^{20}\,b^{30}\,d^6-10400\,A\,B^2\,a^{18}\,b^{32}\,d^6-1008\,A\,B^2\,a^{16}\,b^{34}\,d^6+4096\,B^3\,a^{25}\,b^{25}\,d^6+4864\,B^3\,a^{23}\,b^{27}\,d^6-1936\,B^3\,a^{21}\,b^{29}\,d^6-2080\,B^3\,a^{19}\,b^{31}\,d^6+624\,B^3\,a^{17}\,b^{33}\,d^6\right)}{d^9}-\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{\left(\frac{281474976710656\,\left(4096\,B\,a^{23}\,b^{26}\,d^8+5120\,A\,a^{22}\,b^{27}\,d^8+7168\,B\,a^{21}\,b^{28}\,d^8+11200\,A\,a^{20}\,b^{29}\,d^8+2048\,B\,a^{19}\,b^{30}\,d^8+7040\,A\,a^{18}\,b^{31}\,d^8-1024\,B\,a^{17}\,b^{32}\,d^8+960\,A\,a^{16}\,b^{33}\,d^8\right)}{d^9}-\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A\,b+B\,a\right)\,\left(8192\,a^{22}\,b^{27}\,d^8+16128\,a^{20}\,b^{29}\,d^8+7616\,a^{18}\,b^{31}\,d^8-320\,a^{16}\,b^{33}\,d^8\right)}{\sqrt{b}\,d^9\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\left(2\,A\,b+B\,a\right)}{\sqrt{b}\,d}+\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2048\,A^2\,a^{24}\,b^{26}\,d^6+42496\,A^2\,a^{22}\,b^{28}\,d^6+78608\,A^2\,a^{20}\,b^{30}\,d^6+37600\,A^2\,a^{18}\,b^{32}\,d^6-560\,A^2\,a^{16}\,b^{34}\,d^6+40960\,A\,B\,a^{23}\,b^{27}\,d^6+82432\,A\,B\,a^{21}\,b^{29}\,d^6+41600\,A\,B\,a^{19}\,b^{31}\,d^6+128\,A\,B\,a^{17}\,b^{33}\,d^6+6144\,B^2\,a^{24}\,b^{26}\,d^6+6656\,B^2\,a^{22}\,b^{28}\,d^6-4944\,B^2\,a^{20}\,b^{30}\,d^6-5152\,B^2\,a^{18}\,b^{32}\,d^6+304\,B^2\,a^{16}\,b^{34}\,d^6\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{\sqrt{b}\,d}\right)}{\sqrt{b}\,d}\right)\,\left(2\,A\,b+B\,a\right)}{\sqrt{b}\,d}\right)}{\sqrt{b}\,d}+\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^6\,a^{26}\,b^{26}\,d^2+6624\,A^6\,a^{24}\,b^{28}\,d^2+18065\,A^6\,a^{22}\,b^{30}\,d^2+16769\,A^6\,a^{20}\,b^{32}\,d^2+5135\,A^6\,a^{18}\,b^{34}\,d^2-65\,A^6\,a^{16}\,b^{36}\,d^2+14336\,A^5\,B\,a^{25}\,b^{27}\,d^2+39968\,A^5\,B\,a^{23}\,b^{29}\,d^2+39084\,A^5\,B\,a^{21}\,b^{31}\,d^2+15288\,A^5\,B\,a^{19}\,b^{33}\,d^2+1836\,A^5\,B\,a^{17}\,b^{35}\,d^2+9856\,A^4\,B^2\,a^{26}\,b^{26}\,d^2+23264\,A^4\,B^2\,a^{24}\,b^{28}\,d^2+21205\,A^4\,B^2\,a^{22}\,b^{30}\,d^2+11401\,A^4\,B^2\,a^{20}\,b^{32}\,d^2+3619\,A^4\,B^2\,a^{18}\,b^{34}\,d^2+15\,A^4\,B^2\,a^{16}\,b^{36}\,d^2+2048\,A^3\,B^3\,a^{27}\,b^{25}\,d^2-6656\,A^3\,B^3\,a^{25}\,b^{27}\,d^2-22960\,A^3\,B^3\,a^{23}\,b^{29}\,d^2-20232\,A^3\,B^3\,a^{21}\,b^{31}\,d^2-7744\,A^3\,B^3\,a^{19}\,b^{33}\,d^2-1768\,A^3\,B^3\,a^{17}\,b^{35}\,d^2-9344\,A^2\,B^4\,a^{26}\,b^{26}\,d^2-18400\,A^2\,B^4\,a^{24}\,b^{28}\,d^2-5929\,A^2\,B^4\,a^{22}\,b^{30}\,d^2+6351\,A^2\,B^4\,a^{20}\,b^{32}\,d^2+3193\,A^2\,B^4\,a^{18}\,b^{34}\,d^2-31\,A^2\,B^4\,a^{16}\,b^{36}\,d^2-2048\,A\,B^5\,a^{27}\,b^{25}\,d^2+512\,A\,B^5\,a^{25}\,b^{27}\,d^2+11792\,A\,B^5\,a^{23}\,b^{29}\,d^2+13964\,A\,B^5\,a^{21}\,b^{31}\,d^2+4712\,A\,B^5\,a^{19}\,b^{33}\,d^2-20\,A\,B^5\,a^{17}\,b^{35}\,d^2+1408\,B^6\,a^{26}\,b^{26}\,d^2+3872\,B^6\,a^{24}\,b^{28}\,d^2+3443\,B^6\,a^{22}\,b^{30}\,d^2+903\,B^6\,a^{20}\,b^{32}\,d^2-59\,B^6\,a^{18}\,b^{34}\,d^2+17\,B^6\,a^{16}\,b^{36}\,d^2\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{\sqrt{b}\,d}\right)\,\left(2\,A\,b+B\,a\right)}{\sqrt{b}\,d}-\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-512\,A^8\,a^{26}\,b^{27}-1919\,A^8\,a^{24}\,b^{29}-2688\,A^8\,a^{22}\,b^{31}-1662\,A^8\,a^{20}\,b^{33}-376\,A^8\,a^{18}\,b^{35}+5\,A^8\,a^{16}\,b^{37}-512\,A^7\,B\,a^{27}\,b^{26}-1920\,A^7\,B\,a^{25}\,b^{28}-2948\,A^7\,B\,a^{23}\,b^{30}-2420\,A^7\,B\,a^{21}\,b^{32}-1116\,A^7\,B\,a^{19}\,b^{34}-236\,A^7\,B\,a^{17}\,b^{36}-128\,A^6\,B^2\,a^{28}\,b^{25}-992\,A^6\,B^2\,a^{26}\,b^{27}-2845\,A^6\,B^2\,a^{24}\,b^{29}-3845\,A^6\,B^2\,a^{22}\,b^{31}-2475\,A^6\,B^2\,a^{20}\,b^{33}-603\,A^6\,B^2\,a^{18}\,b^{35}+8\,A^6\,B^2\,a^{16}\,b^{37}-512\,A^5\,B^3\,a^{27}\,b^{26}-1984\,A^5\,B^3\,a^{25}\,b^{28}-3392\,A^5\,B^3\,a^{23}\,b^{30}-3356\,A^5\,B^3\,a^{21}\,b^{32}-1912\,A^5\,B^3\,a^{19}\,b^{34}-476\,A^5\,B^3\,a^{17}\,b^{36}-128\,A^4\,B^4\,a^{28}\,b^{25}+32\,A^4\,B^4\,a^{26}\,b^{27}+741\,A^4\,B^4\,a^{24}\,b^{29}+795\,A^4\,B^4\,a^{22}\,b^{31}+137\,A^4\,B^4\,a^{20}\,b^{33}-75\,A^4\,B^4\,a^{18}\,b^{35}+2\,A^4\,B^4\,a^{16}\,b^{37}+512\,A^3\,B^5\,a^{27}\,b^{26}+1792\,A^3\,B^5\,a^{25}\,b^{28}+2060\,A^3\,B^5\,a^{23}\,b^{30}+548\,A^3\,B^5\,a^{21}\,b^{32}-476\,A^3\,B^5\,a^{19}\,b^{34}-244\,A^3\,B^5\,a^{17}\,b^{36}+128\,A^2\,B^6\,a^{28}\,b^{25}+992\,A^2\,B^6\,a^{26}\,b^{27}+2341\,A^2\,B^6\,a^{24}\,b^{29}+2373\,A^2\,B^6\,a^{22}\,b^{31}+1051\,A^2\,B^6\,a^{20}\,b^{33}+155\,A^2\,B^6\,a^{18}\,b^{35}+512\,A\,B^7\,a^{27}\,b^{26}+1856\,A\,B^7\,a^{25}\,b^{28}+2504\,A\,B^7\,a^{23}\,b^{30}+1484\,A\,B^7\,a^{21}\,b^{32}+320\,A\,B^7\,a^{19}\,b^{34}-4\,A\,B^7\,a^{17}\,b^{36}+128\,B^8\,a^{28}\,b^{25}+480\,B^8\,a^{26}\,b^{27}+674\,B^8\,a^{24}\,b^{29}+421\,B^8\,a^{22}\,b^{31}+101\,B^8\,a^{20}\,b^{33}+3\,B^8\,a^{18}\,b^{35}+B^8\,a^{16}\,b^{37}\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,1{}\mathrm{i}}{\sqrt{b}\,d}}{\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{\left(\frac{281474976710656\,\left(64\,A^7\,a^{26}\,b^{26}\,d^2+3576\,A^7\,a^{24}\,b^{28}\,d^2+10135\,A^7\,a^{22}\,b^{30}\,d^2+9813\,A^7\,a^{20}\,b^{32}\,d^2+3205\,A^7\,a^{18}\,b^{34}\,d^2+15\,A^7\,a^{16}\,b^{36}\,d^2+8464\,A^6\,B\,a^{25}\,b^{27}\,d^2+24919\,A^6\,B\,a^{23}\,b^{29}\,d^2+24869\,A^6\,B\,a^{21}\,b^{31}\,d^2+8837\,A^6\,B\,a^{19}\,b^{33}\,d^2+423\,A^6\,B\,a^{17}\,b^{35}\,d^2+6144\,A^5\,B^2\,a^{26}\,b^{26}\,d^2+21796\,A^5\,B^2\,a^{24}\,b^{28}\,d^2+29729\,A^5\,B^2\,a^{22}\,b^{30}\,d^2+18675\,A^5\,B^2\,a^{20}\,b^{32}\,d^2+4627\,A^5\,B^2\,a^{18}\,b^{34}\,d^2+29\,A^5\,B^2\,a^{16}\,b^{36}\,d^2+1280\,A^4\,B^3\,a^{27}\,b^{25}\,d^2+13520\,A^4\,B^3\,a^{25}\,b^{27}\,d^2+32541\,A^4\,B^3\,a^{23}\,b^{29}\,d^2+29135\,A^4\,B^3\,a^{21}\,b^{31}\,d^2+8327\,A^4\,B^3\,a^{19}\,b^{33}\,d^2-507\,A^4\,B^3\,a^{17}\,b^{35}\,d^2+7232\,A^3\,B^4\,a^{26}\,b^{26}\,d^2+21072\,A^3\,B^4\,a^{24}\,b^{28}\,d^2+20781\,A^3\,B^4\,a^{22}\,b^{30}\,d^2+7223\,A^3\,B^4\,a^{20}\,b^{32}\,d^2+231\,A^3\,B^4\,a^{18}\,b^{34}\,d^2-51\,A^3\,B^4\,a^{16}\,b^{36}\,d^2+1536\,A^2\,B^5\,a^{27}\,b^{25}\,d^2+5616\,A^2\,B^5\,a^{25}\,b^{27}\,d^2+7701\,A^2\,B^5\,a^{23}\,b^{29}\,d^2+3759\,A^2\,B^5\,a^{21}\,b^{31}\,d^2-801\,A^2\,B^5\,a^{19}\,b^{33}\,d^2-939\,A^2\,B^5\,a^{17}\,b^{35}\,d^2+1152\,A\,B^6\,a^{26}\,b^{26}\,d^2+2852\,A\,B^6\,a^{24}\,b^{28}\,d^2+1187\,A\,B^6\,a^{22}\,b^{30}\,d^2-1639\,A\,B^6\,a^{20}\,b^{32}\,d^2-1191\,A\,B^6\,a^{18}\,b^{34}\,d^2-65\,A\,B^6\,a^{16}\,b^{36}\,d^2+256\,B^7\,a^{27}\,b^{25}\,d^2+560\,B^7\,a^{25}\,b^{27}\,d^2+79\,B^7\,a^{23}\,b^{29}\,d^2-507\,B^7\,a^{21}\,b^{31}\,d^2-291\,B^7\,a^{19}\,b^{33}\,d^2-9\,B^7\,a^{17}\,b^{35}\,d^2\right)}{d^9}-\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{281474976710656\,\left(4928\,A^5\,a^{24}\,b^{27}\,d^4+24572\,A^5\,a^{22}\,b^{29}\,d^4+34540\,A^5\,a^{20}\,b^{31}\,d^4+15076\,A^5\,a^{18}\,b^{33}\,d^4+180\,A^5\,a^{16}\,b^{35}\,d^4+5376\,A^4\,B\,a^{25}\,b^{26}\,d^4+55520\,A^4\,B\,a^{23}\,b^{28}\,d^4+94152\,A^4\,B\,a^{21}\,b^{30}\,d^4+43248\,A^4\,B\,a^{19}\,b^{32}\,d^4-760\,A^4\,B\,a^{17}\,b^{34}\,d^4+1024\,A^3\,B^2\,a^{26}\,b^{25}\,d^4+56576\,A^3\,B^2\,a^{24}\,b^{27}\,d^4+98168\,A^3\,B^2\,a^{22}\,b^{29}\,d^4+30504\,A^3\,B^2\,a^{20}\,b^{31}\,d^4-12312\,A^3\,B^2\,a^{18}\,b^{33}\,d^4-200\,A^3\,B^2\,a^{16}\,b^{35}\,d^4+29440\,A^2\,B^3\,a^{25}\,b^{26}\,d^4+40304\,A^2\,B^3\,a^{23}\,b^{28}\,d^4-4464\,A^2\,B^3\,a^{21}\,b^{30}\,d^4-12080\,A^2\,B^3\,a^{19}\,b^{32}\,d^4+3248\,A^2\,B^3\,a^{17}\,b^{34}\,d^4+5120\,A\,B^4\,a^{26}\,b^{25}\,d^4-64\,A\,B^4\,a^{24}\,b^{27}\,d^4-11076\,A\,B^4\,a^{22}\,b^{29}\,d^4-1092\,A\,B^4\,a^{20}\,b^{31}\,d^4+5188\,A\,B^4\,a^{18}\,b^{33}\,d^4+388\,A\,B^4\,a^{16}\,b^{35}\,d^4-1536\,B^5\,a^{25}\,b^{26}\,d^4-1840\,B^5\,a^{23}\,b^{28}\,d^4+840\,B^5\,a^{21}\,b^{30}\,d^4+1056\,B^5\,a^{19}\,b^{32}\,d^4-88\,B^5\,a^{17}\,b^{34}\,d^4\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9}\,d^2-507\,B^7\,a^{21}\,b^{31}\,d^2-291\,B^7\,a^{19}\,b^{33}\,d^2-9\,B^7\,a^{17}\,b^{35}\,d^2\right)}{d^9}-\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{281474976710656\,\left(4928\,A^5\,a^{24}\,b^{27}\,d^4+24572\,A^5\,a^{22}\,b^{29}\,d^4+34540\,A^5\,a^{20}\,b^{31}\,d^4+15076\,A^5\,a^{18}\,b^{33}\,d^4+180\,A^5\,a^{16}\,b^{35}\,d^4+5376\,A^4\,B\,a^{25}\,b^{26}\,d^4+55520\,A^4\,B\,a^{23}\,b^{28}\,d^4+94152\,A^4\,B\,a^{21}\,b^{30}\,d^4+43248\,A^4\,B\,a^{19}\,b^{32}\,d^4-760\,A^4\,B\,a^{17}\,b^{34}\,d^4+1024\,A^3\,B^2\,a^{26}\,b^{25}\,d^4+56576\,A^3\,B^2\,a^{24}\,b^{27}\,d^4+98168\,A^3\,B^2\,a^{22}\,b^{29}\,d^4+30504\,A^3\,B^2\,a^{20}\,b^{31}\,d^4-12312\,A^3\,B^2\,a^{18}\,b^{33}\,d^4-200\,A^3\,B^2\,a^{16}\,b^{35}\,d^4+29440\,A^2\,B^3\,a^{25}\,b^{26}\,d^4+40304\,A^2\,B^3\,a^{23}\,b^{28}\,d^4-4464\,A^2\,B^3\,a^{21}\,b^{30}\,d^4-12080\,A^2\,B^3\,a^{19}\,b^{32}\,d^4+3248\,A^2\,B^3\,a^{17}\,b^{34}\,d^4+5120\,A\,B^4\,a^{26}\,b^{25}\,d^4-64\,A\,B^4\,a^{24}\,b^{27}\,d^4-11076\,A\,B^4\,a^{22}\,b^{29}\,d^4-1092\,A\,B^4\,a^{20}\,b^{31}\,d^4+5188\,A\,B^4\,a^{18}\,b^{33}\,d^4+388\,A\,B^4\,a^{16}\,b^{35}\,d^4-1536\,B^5\,a^{25}\,b^{26}\,d^4-1840\,B^5\,a^{23}\,b^{28}\,d^4+840\,B^5\,a^{21}\,b^{30}\,d^4+1056\,B^5\,a^{19}\,b^{32}\,d^4-88\,B^5\,a^{17}\,b^{34}\,d^4\right)}{d^9}-\frac{\left(\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(9728\,A^4\,a^{24}\,b^{27}\,d^4+43232\,A^4\,a^{22}\,b^{29}\,d^4+57252\,A^4\,a^{20}\,b^{31}\,d^4+23448\,A^4\,a^{18}\,b^{33}\,d^4-300\,A^4\,a^{16}\,b^{35}\,d^4+10240\,A^3\,B\,a^{25}\,b^{26}\,d^4+77312\,A^3\,B\,a^{23}\,b^{28}\,d^4+128336\,A^3\,B\,a^{21}\,b^{30}\,d^4+64864\,A^3\,B\,a^{19}\,b^{32}\,d^4+3600\,A^3\,B\,a^{17}\,b^{34}\,d^4+2048\,A^2\,B^2\,a^{26}\,b^{25}\,d^4+33280\,A^2\,B^2\,a^{24}\,b^{27}\,d^4+42192\,A^2\,B^2\,a^{22}\,b^{29}\,d^4-7928\,A^2\,B^2\,a^{20}\,b^{31}\,d^4-18624\,A^2\,B^2\,a^{18}\,b^{33}\,d^4+264\,A^2\,B^2\,a^{16}\,b^{35}\,d^4-2048\,A\,B^3\,a^{25}\,b^{26}\,d^4-27136\,A\,B^3\,a^{23}\,b^{28}\,d^4-48592\,A\,B^3\,a^{21}\,b^{30}\,d^4-23520\,A\,B^3\,a^{19}\,b^{32}\,d^4-16\,A\,B^3\,a^{17}\,b^{34}\,d^4-2048\,B^4\,a^{26}\,b^{25}\,d^4-8192\,B^4\,a^{24}\,b^{27}\,d^4-9008\,B^4\,a^{22}\,b^{29}\,d^4-1660\,B^4\,a^{20}\,b^{31}\,d^4+1096\,B^4\,a^{18}\,b^{33}\,d^4-108\,B^4\,a^{16}\,b^{35}\,d^4\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}+\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{281474976710656\,\left(1024\,A^3\,a^{24}\,b^{26}\,d^6+25984\,A^3\,a^{22}\,b^{28}\,d^6+49616\,A^3\,a^{20}\,b^{30}\,d^6+25376\,A^3\,a^{18}\,b^{32}\,d^6+720\,A^3\,a^{16}\,b^{34}\,d^6+44288\,A^2\,B\,a^{23}\,b^{27}\,d^6+84272\,A^2\,B\,a^{21}\,b^{29}\,d^6+35680\,A^2\,B\,a^{19}\,b^{31}\,d^6-4304\,A^2\,B\,a^{17}\,b^{33}\,d^6+26624\,A\,B^2\,a^{24}\,b^{26}\,d^6+44864\,A\,B^2\,a^{22}\,b^{28}\,d^6+8848\,A\,B^2\,a^{20}\,b^{30}\,d^6-10400\,A\,B^2\,a^{18}\,b^{32}\,d^6-1008\,A\,B^2\,a^{16}\,b^{34}\,d^6+4096\,B^3\,a^{25}\,b^{25}\,d^6+4864\,B^3\,a^{23}\,b^{27}\,d^6-1936\,B^3\,a^{21}\,b^{29}\,d^6-2080\,B^3\,a^{19}\,b^{31}\,d^6+624\,B^3\,a^{17}\,b^{33}\,d^6\right)}{d^9}-\frac{\left(2\,A\,b+B\,a\right)\,\left(\frac{\left(\frac{281474976710656\,\left(4096\,B\,a^{23}\,b^{26}\,d^8+5120\,A\,a^{22}\,b^{27}\,d^8+7168\,B\,a^{21}\,b^{28}\,d^8+11200\,A\,a^{20}\,b^{29}\,d^8+2048\,B\,a^{19}\,b^{30}\,d^8+7040\,A\,a^{18}\,b^{31}\,d^8-1024\,B\,a^{17}\,b^{32}\,d^8+960\,A\,a^{16}\,b^{33}\,d^8\right)}{d^9}-\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2\,A\,b+B\,a\right)\,\left(8192\,a^{22}\,b^{27}\,d^8+16128\,a^{20}\,b^{29}\,d^8+7616\,a^{18}\,b^{31}\,d^8-320\,a^{16}\,b^{33}\,d^8\right)}{\sqrt{b}\,d^9\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\left(2\,A\,b+B\,a\right)}{\sqrt{b}\,d}+\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2048\,A^2\,a^{24}\,b^{26}\,d^6+42496\,A^2\,a^{22}\,b^{28}\,d^6+78608\,A^2\,a^{20}\,b^{30}\,d^6+37600\,A^2\,a^{18}\,b^{32}\,d^6-560\,A^2\,a^{16}\,b^{34}\,d^6+40960\,A\,B\,a^{23}\,b^{27}\,d^6+82432\,A\,B\,a^{21}\,b^{29}\,d^6+41600\,A\,B\,a^{19}\,b^{31}\,d^6+128\,A\,B\,a^{17}\,b^{33}\,d^6+6144\,B^2\,a^{24}\,b^{26}\,d^6+6656\,B^2\,a^{22}\,b^{28}\,d^6-4944\,B^2\,a^{20}\,b^{30}\,d^6-5152\,B^2\,a^{18}\,b^{32}\,d^6+304\,B^2\,a^{16}\,b^{34}\,d^6\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{\sqrt{b}\,d}\right)}{\sqrt{b}\,d}\right)\,\left(2\,A\,b+B\,a\right)}{\sqrt{b}\,d}\right)}{\sqrt{b}\,d}+\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(128\,A^6\,a^{26}\,b^{26}\,d^2+6624\,A^6\,a^{24}\,b^{28}\,d^2+18065\,A^6\,a^{22}\,b^{30}\,d^2+16769\,A^6\,a^{20}\,b^{32}\,d^2+5135\,A^6\,a^{18}\,b^{34}\,d^2-65\,A^6\,a^{16}\,b^{36}\,d^2+14336\,A^5\,B\,a^{25}\,b^{27}\,d^2+39968\,A^5\,B\,a^{23}\,b^{29}\,d^2+39084\,A^5\,B\,a^{21}\,b^{31}\,d^2+15288\,A^5\,B\,a^{19}\,b^{33}\,d^2+1836\,A^5\,B\,a^{17}\,b^{35}\,d^2+9856\,A^4\,B^2\,a^{26}\,b^{26}\,d^2+23264\,A^4\,B^2\,a^{24}\,b^{28}\,d^2+21205\,A^4\,B^2\,a^{22}\,b^{30}\,d^2+11401\,A^4\,B^2\,a^{20}\,b^{32}\,d^2+3619\,A^4\,B^2\,a^{18}\,b^{34}\,d^2+15\,A^4\,B^2\,a^{16}\,b^{36}\,d^2+2048\,A^3\,B^3\,a^{27}\,b^{25}\,d^2-6656\,A^3\,B^3\,a^{25}\,b^{27}\,d^2-22960\,A^3\,B^3\,a^{23}\,b^{29}\,d^2-20232\,A^3\,B^3\,a^{21}\,b^{31}\,d^2-7744\,A^3\,B^3\,a^{19}\,b^{33}\,d^2-1768\,A^3\,B^3\,a^{17}\,b^{35}\,d^2-9344\,A^2\,B^4\,a^{26}\,b^{26}\,d^2-18400\,A^2\,B^4\,a^{24}\,b^{28}\,d^2-5929\,A^2\,B^4\,a^{22}\,b^{30}\,d^2+6351\,A^2\,B^4\,a^{20}\,b^{32}\,d^2+3193\,A^2\,B^4\,a^{18}\,b^{34}\,d^2-31\,A^2\,B^4\,a^{16}\,b^{36}\,d^2-2048\,A\,B^5\,a^{27}\,b^{25}\,d^2+512\,A\,B^5\,a^{25}\,b^{27}\,d^2+11792\,A\,B^5\,a^{23}\,b^{29}\,d^2+13964\,A\,B^5\,a^{21}\,b^{31}\,d^2+4712\,A\,B^5\,a^{19}\,b^{33}\,d^2-20\,A\,B^5\,a^{17}\,b^{35}\,d^2+1408\,B^6\,a^{26}\,b^{26}\,d^2+3872\,B^6\,a^{24}\,b^{28}\,d^2+3443\,B^6\,a^{22}\,b^{30}\,d^2+903\,B^6\,a^{20}\,b^{32}\,d^2-59\,B^6\,a^{18}\,b^{34}\,d^2+17\,B^6\,a^{16}\,b^{36}\,d^2\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{\sqrt{b}\,d}\right)\,\left(2\,A\,b+B\,a\right)}{\sqrt{b}\,d}-\frac{562949953421312\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-512\,A^8\,a^{26}\,b^{27}-1919\,A^8\,a^{24}\,b^{29}-2688\,A^8\,a^{22}\,b^{31}-1662\,A^8\,a^{20}\,b^{33}-376\,A^8\,a^{18}\,b^{35}+5\,A^8\,a^{16}\,b^{37}-512\,A^7\,B\,a^{27}\,b^{26}-1920\,A^7\,B\,a^{25}\,b^{28}-2948\,A^7\,B\,a^{23}\,b^{30}-2420\,A^7\,B\,a^{21}\,b^{32}-1116\,A^7\,B\,a^{19}\,b^{34}-236\,A^7\,B\,a^{17}\,b^{36}-128\,A^6\,B^2\,a^{28}\,b^{25}-992\,A^6\,B^2\,a^{26}\,b^{27}-2845\,A^6\,B^2\,a^{24}\,b^{29}-3845\,A^6\,B^2\,a^{22}\,b^{31}-2475\,A^6\,B^2\,a^{20}\,b^{33}-603\,A^6\,B^2\,a^{18}\,b^{35}+8\,A^6\,B^2\,a^{16}\,b^{37}-512\,A^5\,B^3\,a^{27}\,b^{26}-1984\,A^5\,B^3\,a^{25}\,b^{28}-3392\,A^5\,B^3\,a^{23}\,b^{30}-3356\,A^5\,B^3\,a^{21}\,b^{32}-1912\,A^5\,B^3\,a^{19}\,b^{34}-476\,A^5\,B^3\,a^{17}\,b^{36}-128\,A^4\,B^4\,a^{28}\,b^{25}+32\,A^4\,B^4\,a^{26}\,b^{27}+741\,A^4\,B^4\,a^{24}\,b^{29}+795\,A^4\,B^4\,a^{22}\,b^{31}+137\,A^4\,B^4\,a^{20}\,b^{33}-75\,A^4\,B^4\,a^{18}\,b^{35}+2\,A^4\,B^4\,a^{16}\,b^{37}+512\,A^3\,B^5\,a^{27}\,b^{26}+1792\,A^3\,B^5\,a^{25}\,b^{28}+2060\,A^3\,B^5\,a^{23}\,b^{30}+548\,A^3\,B^5\,a^{21}\,b^{32}-476\,A^3\,B^5\,a^{19}\,b^{34}-244\,A^3\,B^5\,a^{17}\,b^{36}+128\,A^2\,B^6\,a^{28}\,b^{25}+992\,A^2\,B^6\,a^{26}\,b^{27}+2341\,A^2\,B^6\,a^{24}\,b^{29}+2373\,A^2\,B^6\,a^{22}\,b^{31}+1051\,A^2\,B^6\,a^{20}\,b^{33}+155\,A^2\,B^6\,a^{18}\,b^{35}+512\,A\,B^7\,a^{27}\,b^{26}+1856\,A\,B^7\,a^{25}\,b^{28}+2504\,A\,B^7\,a^{23}\,b^{30}+1484\,A\,B^7\,a^{21}\,b^{32}+320\,A\,B^7\,a^{19}\,b^{34}-4\,A\,B^7\,a^{17}\,b^{36}+128\,B^8\,a^{28}\,b^{25}+480\,B^8\,a^{26}\,b^{27}+674\,B^8\,a^{24}\,b^{29}+421\,B^8\,a^{22}\,b^{31}+101\,B^8\,a^{20}\,b^{33}+3\,B^8\,a^{18}\,b^{35}+B^8\,a^{16}\,b^{37}\right)}{d^8\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)}{\sqrt{b}\,d}}\right)\,\left(2\,A\,b+B\,a\right)\,2{}\mathrm{i}}{\sqrt{b}\,d}","Not used",1,"((2*B*a*tan(c + d*x)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (2*B*a*b*tan(c + d*x)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^3)/(d + (b^2*d*tan(c + d*x)^2)/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^4 - (2*b*d*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2) - atan(((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*1i - (((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*1i)/((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2) + (549755813888*(1140*A^8*a^16*b^34 + 3560*A^8*a^18*b^32 + 3700*A^8*a^20*b^30 + 1280*A^8*a^22*b^28 + 4*B^8*a^12*b^38 + 84*B^8*a^14*b^36 + 545*B^8*a^16*b^34 + 1462*B^8*a^18*b^32 + 1861*B^8*a^20*b^30 + 1120*B^8*a^22*b^28 + 256*B^8*a^24*b^26 + 8*A^2*B^6*a^12*b^38 + 1361*A^2*B^6*a^14*b^36 + 8932*A^2*B^6*a^16*b^34 + 23189*A^2*B^6*a^18*b^32 + 29850*A^2*B^6*a^20*b^30 + 19104*A^2*B^6*a^22*b^28 + 4864*A^2*B^6*a^24*b^26 + 264*A^3*B^5*a^13*b^37 + 6088*A^3*B^5*a^15*b^35 + 25512*A^3*B^5*a^17*b^33 + 44696*A^3*B^5*a^19*b^31 + 37936*A^3*B^5*a^21*b^29 + 14976*A^3*B^5*a^23*b^27 + 2048*A^3*B^5*a^25*b^25 + 4*A^4*B^4*a^12*b^38 + 2470*A^4*B^4*a^14*b^36 + 17369*A^4*B^4*a^16*b^34 + 45552*A^4*B^4*a^18*b^32 + 57817*A^4*B^4*a^20*b^30 + 36128*A^4*B^4*a^22*b^28 + 8960*A^4*B^4*a^24*b^26 + 132*A^5*B^3*a^13*b^37 + 7310*A^5*B^3*a^15*b^35 + 32796*A^5*B^3*a^17*b^33 + 57502*A^5*B^3*a^19*b^31 + 46220*A^5*B^3*a^21*b^29 + 15360*A^5*B^3*a^23*b^27 + 1024*A^5*B^3*a^25*b^25 + 1193*A^6*B^2*a^14*b^36 + 10122*A^6*B^2*a^16*b^34 + 27385*A^6*B^2*a^18*b^32 + 33528*A^6*B^2*a^20*b^30 + 19424*A^6*B^2*a^22*b^28 + 4352*A^6*B^2*a^24*b^26 + 132*A*B^7*a^13*b^37 + 1622*A*B^7*a^15*b^35 + 6076*A*B^7*a^17*b^33 + 10630*A*B^7*a^19*b^31 + 9884*A*B^7*a^21*b^29 + 4864*A*B^7*a^23*b^27 + 1024*A*B^7*a^25*b^25 + 2844*A^7*B*a^15*b^35 + 13360*A^7*B*a^17*b^33 + 23436*A^7*B*a^19*b^31 + 18168*A^7*B*a^21*b^29 + 5248*A^7*B*a^23*b^27))/d^8 - (549755813888*tan(c + d*x)*(12996*A^8*a^16*b^35 + 55176*A^8*a^18*b^33 + 87748*A^8*a^20*b^31 + 61952*A^8*a^22*b^29 + 16384*A^8*a^24*b^27 + 4*B^8*a^12*b^39 + 108*B^8*a^14*b^37 + 893*B^8*a^16*b^35 + 2278*B^8*a^18*b^33 + 2545*B^8*a^20*b^31 + 1312*B^8*a^22*b^29 + 256*B^8*a^24*b^27 + 8*A^2*B^6*a^12*b^39 + 2697*A^2*B^6*a^14*b^37 + 20880*A^2*B^6*a^16*b^35 + 58853*A^2*B^6*a^18*b^33 + 81686*A^2*B^6*a^20*b^31 + 60992*A^2*B^6*a^22*b^29 + 24064*A^2*B^6*a^24*b^27 + 4096*A^2*B^6*a^26*b^25 + 360*A^3*B^5*a^13*b^38 + 16184*A^3*B^5*a^15*b^36 + 75064*A^3*B^5*a^17*b^34 + 152168*A^3*B^5*a^19*b^32 + 162560*A^3*B^5*a^21*b^30 + 90112*A^3*B^5*a^23*b^28 + 20480*A^3*B^5*a^25*b^26 + 4*A^4*B^4*a^12*b^39 + 5070*A^4*B^4*a^14*b^37 + 52077*A^4*B^4*a^16*b^35 + 166048*A^4*B^4*a^18*b^33 + 243485*A^4*B^4*a^20*b^31 + 180000*A^4*B^4*a^22*b^29 + 63744*A^4*B^4*a^24*b^27 + 8192*A^4*B^4*a^26*b^25 + 180*A^5*B^3*a^13*b^38 + 23482*A^5*B^3*a^15*b^36 + 115688*A^5*B^3*a^17*b^34 + 241906*A^5*B^3*a^19*b^32 + 264592*A^5*B^3*a^21*b^30 + 149888*A^5*B^3*a^23*b^28 + 34816*A^5*B^3*a^25*b^26 + 2481*A^6*B^2*a^14*b^37 + 45086*A^6*B^2*a^16*b^35 + 164649*A^6*B^2*a^18*b^33 + 252092*A^6*B^2*a^20*b^31 + 182272*A^6*B^2*a^22*b^29 + 56320*A^6*B^2*a^24*b^27 + 4096*A^6*B^2*a^26*b^25 + 180*A*B^7*a^13*b^38 + 2962*A*B^7*a^15*b^36 + 11480*A*B^7*a^17*b^34 + 20810*A*B^7*a^19*b^32 + 20176*A*B^7*a^21*b^30 + 10112*A*B^7*a^23*b^28 + 2048*A*B^7*a^25*b^26 + 10260*A^7*B*a^15*b^36 + 52104*A^7*B*a^17*b^34 + 110548*A^7*B*a^19*b^32 + 122208*A^7*B*a^21*b^30 + 69888*A^7*B*a^23*b^28 + 16384*A^7*B*a^25*b^26))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))*((A^2*b - A^2*a*1i + B^2*a*1i - B^2*b + 2*A*B*a + A*B*b*2i)/(4*d^2))^(1/2)*2i - atan(((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*1i - (((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*1i)/((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(2048*A*a^20*b^27*d^6 - 12536*A*a^16*b^31*d^6 - 3328*A*a^18*b^29*d^6 - 7160*A*a^14*b^33*d^6 + 240*B*a^13*b^34*d^6 - 720*B*a^15*b^32*d^6 + 5696*B*a^17*b^30*d^6 + 14848*B*a^19*b^28*d^6 + 8192*B*a^21*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(1200*A^2*a^12*b^35*d^6 - 1600*A^2*a^14*b^33*d^6 + 272464*A^2*a^16*b^31*d^6 + 573952*A^2*a^18*b^29*d^6 + 299008*A^2*a^20*b^27*d^6 - 1440*B^2*a^12*b^35*d^6 + 8352*B^2*a^14*b^33*d^6 - 320*B^2*a^16*b^31*d^6 + 26880*B^2*a^18*b^29*d^6 + 102400*B^2*a^20*b^27*d^6 + 65536*B^2*a^22*b^25*d^6 - 11200*A*B*a^13*b^34*d^6 - 25856*A*B*a^15*b^32*d^6 + 303168*A*B*a^17*b^30*d^6 + 661504*A*B*a^19*b^28*d^6 + 344064*A*B*a^21*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(1200*A^2*a^12*b^36*d^6 - 32160*A^2*a^14*b^34*d^6 + 1125488*A^2*a^16*b^32*d^6 + 2445312*A^2*a^18*b^30*d^6 + 1351680*A^2*a^20*b^28*d^6 + 65536*A^2*a^22*b^26*d^6 - 1440*B^2*a^12*b^36*d^6 + 32256*B^2*a^14*b^34*d^6 - 41440*B^2*a^16*b^32*d^6 + 68096*B^2*a^18*b^30*d^6 + 405504*B^2*a^20*b^28*d^6 + 262144*B^2*a^22*b^26*d^6 - 16320*A*B*a^13*b^35*d^6 - 34112*A*B*a^15*b^33*d^6 + 1294592*A*B*a^17*b^31*d^6 + 2656256*A*B*a^19*b^29*d^6 + 1343488*A*B*a^21*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(7600*A^3*a^18*b^30*d^4 - 3902*A^3*a^16*b^32*d^4 - 4590*A^3*a^14*b^34*d^4 + 6912*A^3*a^20*b^28*d^4 - 168*B^3*a^13*b^35*d^4 + 982*B^3*a^15*b^33*d^4 + 2494*B^3*a^17*b^31*d^4 + 9024*B^3*a^19*b^29*d^4 + 15872*B^3*a^21*b^27*d^4 + 8192*B^3*a^23*b^25*d^4 + 4922*A*B^2*a^14*b^34*d^4 + 21906*A*B^2*a^16*b^32*d^4 + 69720*A*B^2*a^18*b^30*d^4 + 95744*A*B^2*a^20*b^28*d^4 + 43008*A*B^2*a^22*b^26*d^4 - 180*A^2*B*a^13*b^35*d^4 + 4486*A^2*B*a^15*b^33*d^4 + 52154*A^2*B*a^17*b^31*d^4 + 93568*A^2*B*a^19*b^29*d^4 + 46080*A^2*B*a^21*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (274877906944*(300*A^4*a^12*b^36*d^4 + 2360*A^4*a^14*b^34*d^4 + 149228*A^4*a^16*b^32*d^4 + 307152*A^4*a^18*b^30*d^4 + 164352*A^4*a^20*b^28*d^4 + 4096*A^4*a^22*b^26*d^4 + 484*B^4*a^12*b^36*d^4 + 328*B^4*a^14*b^34*d^4 + 2308*B^4*a^16*b^32*d^4 - 16048*B^4*a^18*b^30*d^4 - 43008*B^4*a^20*b^28*d^4 - 24576*B^4*a^22*b^26*d^4 + 7880*A*B^3*a^13*b^35*d^4 + 28592*A*B^3*a^15*b^33*d^4 - 55832*A*B^3*a^17*b^31*d^4 - 100672*A*B^3*a^19*b^29*d^4 + 57344*A*B^3*a^21*b^27*d^4 + 81920*A*B^3*a^23*b^25*d^4 - 5880*A^3*B*a^13*b^35*d^4 + 47408*A^3*B*a^15*b^33*d^4 + 569576*A^3*B*a^17*b^31*d^4 + 1004928*A^3*B*a^19*b^29*d^4 + 489472*A^3*B*a^21*b^27*d^4 - 320*A^2*B^2*a^12*b^36*d^4 + 1264*A^2*B^2*a^14*b^34*d^4 - 27264*A^2*B^2*a^16*b^32*d^4 + 294128*A^2*B^2*a^18*b^30*d^4 + 711168*A^2*B^2*a^20*b^28*d^4 + 389120*A^2*B^2*a^22*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(300*A^4*a^12*b^37*d^4 - 6920*A^4*a^14*b^35*d^4 + 738524*A^4*a^16*b^33*d^4 + 1819680*A^4*a^18*b^31*d^4 + 1384960*A^4*a^20*b^29*d^4 + 311296*A^4*a^22*b^27*d^4 + 484*B^4*a^12*b^37*d^4 - 5368*B^4*a^14*b^35*d^4 + 1236*B^4*a^16*b^33*d^4 - 88064*B^4*a^18*b^31*d^4 - 205824*B^4*a^20*b^29*d^4 - 110592*B^4*a^22*b^27*d^4 + 11192*A*B^3*a^13*b^36*d^4 + 45712*A*B^3*a^15*b^34*d^4 - 394344*A*B^3*a^17*b^32*d^4 - 599296*A*B^3*a^19*b^30*d^4 + 124928*A*B^3*a^21*b^28*d^4 + 294912*A*B^3*a^23*b^26*d^4 - 8680*A^3*B*a^13*b^36*d^4 + 163152*A^3*B*a^15*b^34*d^4 + 2287096*A^3*B*a^17*b^32*d^4 + 4405760*A^3*B*a^19*b^30*d^4 + 2617344*A^3*B*a^21*b^28*d^4 + 327680*A^3*B*a^23*b^26*d^4 - 320*A^2*B^2*a^12*b^37*d^4 + 23984*A^2*B^2*a^14*b^35*d^4 - 212608*A^2*B^2*a^16*b^33*d^4 + 865008*A^2*B^2*a^18*b^31*d^4 + 2561024*A^2*B^2*a^20*b^29*d^4 + 1523712*A^2*B^2*a^22*b^27*d^4 + 65536*A^2*B^2*a^24*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3641*A^5*a^18*b^31*d^2 - 55*A^5*a^16*b^33*d^2 - 960*A^5*a^14*b^35*d^2 + 2864*A^5*a^20*b^29*d^2 + 128*A^5*a^22*b^27*d^2 + 39*B^5*a^13*b^36*d^2 - 341*B^5*a^15*b^34*d^2 - 2362*B^5*a^17*b^32*d^2 - 6942*B^5*a^19*b^30*d^2 - 8544*B^5*a^21*b^28*d^2 - 3584*B^5*a^23*b^26*d^2 - 1045*A*B^4*a^14*b^35*d^2 - 8795*A*B^4*a^16*b^33*d^2 - 26838*A*B^4*a^18*b^31*d^2 - 24592*A*B^4*a^20*b^29*d^2 + 2688*A*B^4*a^22*b^27*d^2 + 8192*A*B^4*a^24*b^25*d^2 - 120*A^4*B*a^13*b^36*d^2 + 4977*A^4*B*a^15*b^34*d^2 + 33597*A^4*B*a^17*b^32*d^2 + 55284*A^4*B*a^19*b^30*d^2 + 27296*A^4*B*a^21*b^28*d^2 + 512*A^4*B*a^23*b^26*d^2 + 159*A^2*B^3*a^13*b^36*d^2 - 4656*A^2*B^3*a^15*b^34*d^2 - 11277*A^2*B^3*a^17*b^32*d^2 + 28418*A^2*B^3*a^19*b^30*d^2 + 74816*A^2*B^3*a^21*b^28*d^2 + 39936*A^2*B^3*a^23*b^26*d^2 - 133*A^3*B^2*a^14*b^35*d^2 + 16550*A^3*B^2*a^16*b^33*d^2 + 86411*A^3*B^2*a^18*b^31*d^2 + 127328*A^3*B^2*a^20*b^29*d^2 + 57600*A^3*B^2*a^22*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) - (274877906944*(25*A^6*a^12*b^37*d^2 + 430*A^6*a^14*b^35*d^2 + 25905*A^6*a^16*b^33*d^2 + 68220*A^6*a^18*b^31*d^2 + 59424*A^6*a^20*b^29*d^2 + 16640*A^6*a^22*b^27*d^2 - 72*B^6*a^12*b^37*d^2 - 679*B^6*a^14*b^35*d^2 - 3030*B^6*a^16*b^33*d^2 - 2263*B^6*a^18*b^31*d^2 + 6544*B^6*a^20*b^29*d^2 + 10496*B^6*a^22*b^27*d^2 + 4096*B^6*a^24*b^25*d^2 - 1794*A*B^5*a^13*b^36*d^2 - 12040*A*B^5*a^15*b^34*d^2 - 12202*A*B^5*a^17*b^32*d^2 + 19804*A*B^5*a^19*b^30*d^2 + 35200*A*B^5*a^21*b^28*d^2 + 13312*A*B^5*a^23*b^26*d^2 - 770*A^5*B*a^13*b^36*d^2 + 21168*A^5*B*a^15*b^34*d^2 + 119398*A^5*B*a^17*b^32*d^2 + 194292*A^5*B*a^19*b^30*d^2 + 114560*A^5*B*a^21*b^28*d^2 + 17408*A^5*B*a^23*b^26*d^2 - 23*A^2*B^4*a^12*b^37*d^2 - 6472*A^2*B^4*a^14*b^35*d^2 - 7211*A^2*B^4*a^16*b^33*d^2 + 32614*A^2*B^4*a^18*b^31*d^2 + 79616*A^2*B^4*a^20*b^29*d^2 + 70400*A^2*B^4*a^22*b^27*d^2 + 24576*A^2*B^4*a^24*b^25*d^2 - 580*A^3*B^3*a^13*b^36*d^2 + 5928*A^3*B^3*a^15*b^34*d^2 + 92604*A^3*B^3*a^17*b^32*d^2 + 267280*A^3*B^3*a^19*b^30*d^2 + 293120*A^3*B^3*a^21*b^28*d^2 + 112640*A^3*B^3*a^23*b^26*d^2 + 10*A^4*B^2*a^12*b^37*d^2 + 10653*A^4*B^2*a^14*b^35*d^2 + 123388*A^4*B^2*a^16*b^33*d^2 + 361289*A^4*B^2*a^18*b^31*d^2 + 408400*A^4*B^2*a^20*b^29*d^2 + 164608*A^4*B^2*a^22*b^27*d^2 + 4096*A^4*B^2*a^24*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(25*A^6*a^12*b^38*d^2 - 470*A^6*a^14*b^36*d^2 + 168905*A^6*a^16*b^34*d^2 + 541176*A^6*a^18*b^32*d^2 + 579072*A^6*a^20*b^30*d^2 + 211456*A^6*a^22*b^28*d^2 + 4096*A^6*a^24*b^26*d^2 - 72*B^6*a^12*b^38*d^2 - 355*B^6*a^14*b^36*d^2 - 3534*B^6*a^16*b^34*d^2 + 9181*B^6*a^18*b^32*d^2 + 43936*B^6*a^20*b^30*d^2 + 47872*B^6*a^22*b^28*d^2 + 16384*B^6*a^24*b^26*d^2 - 2494*A*B^5*a^13*b^37*d^2 - 20820*A*B^5*a^15*b^35*d^2 + 15026*A*B^5*a^17*b^33*d^2 + 134984*A*B^5*a^19*b^31*d^2 + 156800*A*B^5*a^21*b^29*d^2 + 55296*A*B^5*a^23*b^27*d^2 - 1150*A^5*B*a^13*b^37*d^2 + 82036*A^5*B*a^15*b^35*d^2 + 614690*A^5*B*a^17*b^33*d^2 + 1432560*A^5*B*a^19*b^31*d^2 + 1361536*A^5*B*a^21*b^29*d^2 + 460800*A^5*B*a^23*b^27*d^2 - 23*A^2*B^4*a^12*b^38*d^2 - 15620*A^2*B^4*a^14*b^36*d^2 - 11843*A^2*B^4*a^16*b^34*d^2 + 95626*A^2*B^4*a^18*b^32*d^2 + 210240*A^2*B^4*a^20*b^30*d^2 + 155648*A^2*B^4*a^22*b^28*d^2 + 36864*A^2*B^4*a^24*b^26*d^2 - 764*A^3*B^3*a^13*b^37*d^2 - 21056*A^3*B^3*a^15*b^35*d^2 + 145044*A^3*B^3*a^17*b^33*d^2 + 566296*A^3*B^3*a^19*b^31*d^2 + 667904*A^3*B^3*a^21*b^29*d^2 + 331776*A^3*B^3*a^23*b^27*d^2 + 65536*A^3*B^3*a^25*b^25*d^2 + 10*A^4*B^2*a^12*b^38*d^2 + 19097*A^4*B^2*a^14*b^36*d^2 + 326196*A^4*B^2*a^16*b^34*d^2 + 1062069*A^4*B^2*a^18*b^32*d^2 + 1527456*A^4*B^2*a^20*b^30*d^2 + 1091328*A^4*B^2*a^22*b^28*d^2 + 319488*A^4*B^2*a^24*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(85*A^7*a^16*b^34 - 65*A^7*a^14*b^36 + 729*A^7*a^18*b^32 + 947*A^7*a^20*b^30 + 368*A^7*a^22*b^28 - 3*B^7*a^13*b^37 + 36*B^7*a^15*b^35 + 374*B^7*a^17*b^33 + 1363*B^7*a^19*b^31 + 2276*B^7*a^21*b^29 + 1760*B^7*a^23*b^27 + 512*B^7*a^25*b^25 - 25*A^2*B^5*a^13*b^37 + 818*A^2*B^5*a^15*b^35 + 5373*A^2*B^5*a^17*b^33 + 12178*A^2*B^5*a^19*b^31 + 12640*A^2*B^5*a^21*b^29 + 6016*A^2*B^5*a^23*b^27 + 1024*A^2*B^5*a^25*b^25 + 89*A^3*B^4*a^14*b^36 + 2278*A^3*B^4*a^16*b^34 + 10563*A^3*B^4*a^18*b^32 + 18982*A^3*B^4*a^20*b^30 + 14960*A^3*B^4*a^22*b^28 + 4352*A^3*B^4*a^24*b^26 - 37*A^4*B^3*a^13*b^37 + 1507*A^4*B^3*a^15*b^35 + 9606*A^4*B^3*a^17*b^33 + 20274*A^4*B^3*a^19*b^31 + 18452*A^4*B^3*a^21*b^29 + 6752*A^4*B^3*a^23*b^27 + 512*A^4*B^3*a^25*b^25 - 45*A^5*B^2*a^14*b^36 + 1265*A^5*B^2*a^16*b^34 + 6366*A^5*B^2*a^18*b^32 + 10912*A^5*B^2*a^20*b^30 + 8032*A^5*B^2*a^22*b^28 + 2176*A^5*B^2*a^24*b^26 + 69*A*B^6*a^14*b^36 + 1098*A*B^6*a^16*b^34 + 4926*A*B^6*a^18*b^32 + 9017*A*B^6*a^20*b^30 + 7296*A*B^6*a^22*b^28 + 2176*A*B^6*a^24*b^26 - 15*A^6*B*a^13*b^37 + 725*A^6*B*a^15*b^35 + 4607*A^6*B*a^17*b^33 + 9459*A^6*B*a^19*b^31 + 8088*A^6*B*a^21*b^29 + 2496*A^6*B*a^23*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2) + (549755813888*(1140*A^8*a^16*b^34 + 3560*A^8*a^18*b^32 + 3700*A^8*a^20*b^30 + 1280*A^8*a^22*b^28 + 4*B^8*a^12*b^38 + 84*B^8*a^14*b^36 + 545*B^8*a^16*b^34 + 1462*B^8*a^18*b^32 + 1861*B^8*a^20*b^30 + 1120*B^8*a^22*b^28 + 256*B^8*a^24*b^26 + 8*A^2*B^6*a^12*b^38 + 1361*A^2*B^6*a^14*b^36 + 8932*A^2*B^6*a^16*b^34 + 23189*A^2*B^6*a^18*b^32 + 29850*A^2*B^6*a^20*b^30 + 19104*A^2*B^6*a^22*b^28 + 4864*A^2*B^6*a^24*b^26 + 264*A^3*B^5*a^13*b^37 + 6088*A^3*B^5*a^15*b^35 + 25512*A^3*B^5*a^17*b^33 + 44696*A^3*B^5*a^19*b^31 + 37936*A^3*B^5*a^21*b^29 + 14976*A^3*B^5*a^23*b^27 + 2048*A^3*B^5*a^25*b^25 + 4*A^4*B^4*a^12*b^38 + 2470*A^4*B^4*a^14*b^36 + 17369*A^4*B^4*a^16*b^34 + 45552*A^4*B^4*a^18*b^32 + 57817*A^4*B^4*a^20*b^30 + 36128*A^4*B^4*a^22*b^28 + 8960*A^4*B^4*a^24*b^26 + 132*A^5*B^3*a^13*b^37 + 7310*A^5*B^3*a^15*b^35 + 32796*A^5*B^3*a^17*b^33 + 57502*A^5*B^3*a^19*b^31 + 46220*A^5*B^3*a^21*b^29 + 15360*A^5*B^3*a^23*b^27 + 1024*A^5*B^3*a^25*b^25 + 1193*A^6*B^2*a^14*b^36 + 10122*A^6*B^2*a^16*b^34 + 27385*A^6*B^2*a^18*b^32 + 33528*A^6*B^2*a^20*b^30 + 19424*A^6*B^2*a^22*b^28 + 4352*A^6*B^2*a^24*b^26 + 132*A*B^7*a^13*b^37 + 1622*A*B^7*a^15*b^35 + 6076*A*B^7*a^17*b^33 + 10630*A*B^7*a^19*b^31 + 9884*A*B^7*a^21*b^29 + 4864*A*B^7*a^23*b^27 + 1024*A*B^7*a^25*b^25 + 2844*A^7*B*a^15*b^35 + 13360*A^7*B*a^17*b^33 + 23436*A^7*B*a^19*b^31 + 18168*A^7*B*a^21*b^29 + 5248*A^7*B*a^23*b^27))/d^8 - (549755813888*tan(c + d*x)*(12996*A^8*a^16*b^35 + 55176*A^8*a^18*b^33 + 87748*A^8*a^20*b^31 + 61952*A^8*a^22*b^29 + 16384*A^8*a^24*b^27 + 4*B^8*a^12*b^39 + 108*B^8*a^14*b^37 + 893*B^8*a^16*b^35 + 2278*B^8*a^18*b^33 + 2545*B^8*a^20*b^31 + 1312*B^8*a^22*b^29 + 256*B^8*a^24*b^27 + 8*A^2*B^6*a^12*b^39 + 2697*A^2*B^6*a^14*b^37 + 20880*A^2*B^6*a^16*b^35 + 58853*A^2*B^6*a^18*b^33 + 81686*A^2*B^6*a^20*b^31 + 60992*A^2*B^6*a^22*b^29 + 24064*A^2*B^6*a^24*b^27 + 4096*A^2*B^6*a^26*b^25 + 360*A^3*B^5*a^13*b^38 + 16184*A^3*B^5*a^15*b^36 + 75064*A^3*B^5*a^17*b^34 + 152168*A^3*B^5*a^19*b^32 + 162560*A^3*B^5*a^21*b^30 + 90112*A^3*B^5*a^23*b^28 + 20480*A^3*B^5*a^25*b^26 + 4*A^4*B^4*a^12*b^39 + 5070*A^4*B^4*a^14*b^37 + 52077*A^4*B^4*a^16*b^35 + 166048*A^4*B^4*a^18*b^33 + 243485*A^4*B^4*a^20*b^31 + 180000*A^4*B^4*a^22*b^29 + 63744*A^4*B^4*a^24*b^27 + 8192*A^4*B^4*a^26*b^25 + 180*A^5*B^3*a^13*b^38 + 23482*A^5*B^3*a^15*b^36 + 115688*A^5*B^3*a^17*b^34 + 241906*A^5*B^3*a^19*b^32 + 264592*A^5*B^3*a^21*b^30 + 149888*A^5*B^3*a^23*b^28 + 34816*A^5*B^3*a^25*b^26 + 2481*A^6*B^2*a^14*b^37 + 45086*A^6*B^2*a^16*b^35 + 164649*A^6*B^2*a^18*b^33 + 252092*A^6*B^2*a^20*b^31 + 182272*A^6*B^2*a^22*b^29 + 56320*A^6*B^2*a^24*b^27 + 4096*A^6*B^2*a^26*b^25 + 180*A*B^7*a^13*b^38 + 2962*A*B^7*a^15*b^36 + 11480*A*B^7*a^17*b^34 + 20810*A*B^7*a^19*b^32 + 20176*A*B^7*a^21*b^30 + 10112*A*B^7*a^23*b^28 + 2048*A*B^7*a^25*b^26 + 10260*A^7*B*a^15*b^36 + 52104*A^7*B*a^17*b^34 + 110548*A^7*B*a^19*b^32 + 122208*A^7*B*a^21*b^30 + 69888*A^7*B*a^23*b^28 + 16384*A^7*B*a^25*b^26))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))*((A^2*a*1i + A^2*b - B^2*a*1i - B^2*b + 2*A*B*a - A*B*b*2i)/(4*d^2))^(1/2)*2i - (atan(-(((2*A*b + B*a)*((((281474976710656*(15*A^7*a^16*b^36*d^2 + 3205*A^7*a^18*b^34*d^2 + 9813*A^7*a^20*b^32*d^2 + 10135*A^7*a^22*b^30*d^2 + 3576*A^7*a^24*b^28*d^2 + 64*A^7*a^26*b^26*d^2 - 9*B^7*a^17*b^35*d^2 - 291*B^7*a^19*b^33*d^2 - 507*B^7*a^21*b^31*d^2 + 79*B^7*a^23*b^29*d^2 + 560*B^7*a^25*b^27*d^2 + 256*B^7*a^27*b^25*d^2 - 65*A*B^6*a^16*b^36*d^2 - 1191*A*B^6*a^18*b^34*d^2 - 1639*A*B^6*a^20*b^32*d^2 + 1187*A*B^6*a^22*b^30*d^2 + 2852*A*B^6*a^24*b^28*d^2 + 1152*A*B^6*a^26*b^26*d^2 + 423*A^6*B*a^17*b^35*d^2 + 8837*A^6*B*a^19*b^33*d^2 + 24869*A^6*B*a^21*b^31*d^2 + 24919*A^6*B*a^23*b^29*d^2 + 8464*A^6*B*a^25*b^27*d^2 - 939*A^2*B^5*a^17*b^35*d^2 - 801*A^2*B^5*a^19*b^33*d^2 + 3759*A^2*B^5*a^21*b^31*d^2 + 7701*A^2*B^5*a^23*b^29*d^2 + 5616*A^2*B^5*a^25*b^27*d^2 + 1536*A^2*B^5*a^27*b^25*d^2 - 51*A^3*B^4*a^16*b^36*d^2 + 231*A^3*B^4*a^18*b^34*d^2 + 7223*A^3*B^4*a^20*b^32*d^2 + 20781*A^3*B^4*a^22*b^30*d^2 + 21072*A^3*B^4*a^24*b^28*d^2 + 7232*A^3*B^4*a^26*b^26*d^2 - 507*A^4*B^3*a^17*b^35*d^2 + 8327*A^4*B^3*a^19*b^33*d^2 + 29135*A^4*B^3*a^21*b^31*d^2 + 32541*A^4*B^3*a^23*b^29*d^2 + 13520*A^4*B^3*a^25*b^27*d^2 + 1280*A^4*B^3*a^27*b^25*d^2 + 29*A^5*B^2*a^16*b^36*d^2 + 4627*A^5*B^2*a^18*b^34*d^2 + 18675*A^5*B^2*a^20*b^32*d^2 + 29729*A^5*B^2*a^22*b^30*d^2 + 21796*A^5*B^2*a^24*b^28*d^2 + 6144*A^5*B^2*a^26*b^26*d^2))/d^9 - ((2*A*b + B*a)*(((2*A*b + B*a)*((281474976710656*(180*A^5*a^16*b^35*d^4 + 15076*A^5*a^18*b^33*d^4 + 34540*A^5*a^20*b^31*d^4 + 24572*A^5*a^22*b^29*d^4 + 4928*A^5*a^24*b^27*d^4 - 88*B^5*a^17*b^34*d^4 + 1056*B^5*a^19*b^32*d^4 + 840*B^5*a^21*b^30*d^4 - 1840*B^5*a^23*b^28*d^4 - 1536*B^5*a^25*b^26*d^4 + 388*A*B^4*a^16*b^35*d^4 + 5188*A*B^4*a^18*b^33*d^4 - 1092*A*B^4*a^20*b^31*d^4 - 11076*A*B^4*a^22*b^29*d^4 - 64*A*B^4*a^24*b^27*d^4 + 5120*A*B^4*a^26*b^25*d^4 - 760*A^4*B*a^17*b^34*d^4 + 43248*A^4*B*a^19*b^32*d^4 + 94152*A^4*B*a^21*b^30*d^4 + 55520*A^4*B*a^23*b^28*d^4 + 5376*A^4*B*a^25*b^26*d^4 + 3248*A^2*B^3*a^17*b^34*d^4 - 12080*A^2*B^3*a^19*b^32*d^4 - 4464*A^2*B^3*a^21*b^30*d^4 + 40304*A^2*B^3*a^23*b^28*d^4 + 29440*A^2*B^3*a^25*b^26*d^4 - 200*A^3*B^2*a^16*b^35*d^4 - 12312*A^3*B^2*a^18*b^33*d^4 + 30504*A^3*B^2*a^20*b^31*d^4 + 98168*A^3*B^2*a^22*b^29*d^4 + 56576*A^3*B^2*a^24*b^27*d^4 + 1024*A^3*B^2*a^26*b^25*d^4))/d^9 + (((562949953421312*tan(c + d*x)^(1/2)*(23448*A^4*a^18*b^33*d^4 - 300*A^4*a^16*b^35*d^4 + 57252*A^4*a^20*b^31*d^4 + 43232*A^4*a^22*b^29*d^4 + 9728*A^4*a^24*b^27*d^4 - 108*B^4*a^16*b^35*d^4 + 1096*B^4*a^18*b^33*d^4 - 1660*B^4*a^20*b^31*d^4 - 9008*B^4*a^22*b^29*d^4 - 8192*B^4*a^24*b^27*d^4 - 2048*B^4*a^26*b^25*d^4 - 16*A*B^3*a^17*b^34*d^4 - 23520*A*B^3*a^19*b^32*d^4 - 48592*A*B^3*a^21*b^30*d^4 - 27136*A*B^3*a^23*b^28*d^4 - 2048*A*B^3*a^25*b^26*d^4 + 3600*A^3*B*a^17*b^34*d^4 + 64864*A^3*B*a^19*b^32*d^4 + 128336*A^3*B*a^21*b^30*d^4 + 77312*A^3*B*a^23*b^28*d^4 + 10240*A^3*B*a^25*b^26*d^4 + 264*A^2*B^2*a^16*b^35*d^4 - 18624*A^2*B^2*a^18*b^33*d^4 - 7928*A^2*B^2*a^20*b^31*d^4 + 42192*A^2*B^2*a^22*b^29*d^4 + 33280*A^2*B^2*a^24*b^27*d^4 + 2048*A^2*B^2*a^26*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))) - ((2*A*b + B*a)*((281474976710656*(720*A^3*a^16*b^34*d^6 + 25376*A^3*a^18*b^32*d^6 + 49616*A^3*a^20*b^30*d^6 + 25984*A^3*a^22*b^28*d^6 + 1024*A^3*a^24*b^26*d^6 + 624*B^3*a^17*b^33*d^6 - 2080*B^3*a^19*b^31*d^6 - 1936*B^3*a^21*b^29*d^6 + 4864*B^3*a^23*b^27*d^6 + 4096*B^3*a^25*b^25*d^6 - 1008*A*B^2*a^16*b^34*d^6 - 10400*A*B^2*a^18*b^32*d^6 + 8848*A*B^2*a^20*b^30*d^6 + 44864*A*B^2*a^22*b^28*d^6 + 26624*A*B^2*a^24*b^26*d^6 - 4304*A^2*B*a^17*b^33*d^6 + 35680*A^2*B*a^19*b^31*d^6 + 84272*A^2*B*a^21*b^29*d^6 + 44288*A^2*B*a^23*b^27*d^6))/d^9 - ((2*A*b + B*a)*((((281474976710656*(960*A*a^16*b^33*d^8 + 7040*A*a^18*b^31*d^8 + 11200*A*a^20*b^29*d^8 + 5120*A*a^22*b^27*d^8 - 1024*B*a^17*b^32*d^8 + 2048*B*a^19*b^30*d^8 + 7168*B*a^21*b^28*d^8 + 4096*B*a^23*b^26*d^8))/d^9 + (562949953421312*tan(c + d*x)^(1/2)*(2*A*b + B*a)*(7616*a^18*b^31*d^8 - 320*a^16*b^33*d^8 + 16128*a^20*b^29*d^8 + 8192*a^22*b^27*d^8))/(b^(1/2)*d^9*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*(2*A*b + B*a))/(b^(1/2)*d) - (562949953421312*tan(c + d*x)^(1/2)*(37600*A^2*a^18*b^32*d^6 - 560*A^2*a^16*b^34*d^6 + 78608*A^2*a^20*b^30*d^6 + 42496*A^2*a^22*b^28*d^6 + 2048*A^2*a^24*b^26*d^6 + 304*B^2*a^16*b^34*d^6 - 5152*B^2*a^18*b^32*d^6 - 4944*B^2*a^20*b^30*d^6 + 6656*B^2*a^22*b^28*d^6 + 6144*B^2*a^24*b^26*d^6 + 128*A*B*a^17*b^33*d^6 + 41600*A*B*a^19*b^31*d^6 + 82432*A*B*a^21*b^29*d^6 + 40960*A*B*a^23*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d)))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d)))/(b^(1/2)*d) - (562949953421312*tan(c + d*x)^(1/2)*(5135*A^6*a^18*b^34*d^2 - 65*A^6*a^16*b^36*d^2 + 16769*A^6*a^20*b^32*d^2 + 18065*A^6*a^22*b^30*d^2 + 6624*A^6*a^24*b^28*d^2 + 128*A^6*a^26*b^26*d^2 + 17*B^6*a^16*b^36*d^2 - 59*B^6*a^18*b^34*d^2 + 903*B^6*a^20*b^32*d^2 + 3443*B^6*a^22*b^30*d^2 + 3872*B^6*a^24*b^28*d^2 + 1408*B^6*a^26*b^26*d^2 - 20*A*B^5*a^17*b^35*d^2 + 4712*A*B^5*a^19*b^33*d^2 + 13964*A*B^5*a^21*b^31*d^2 + 11792*A*B^5*a^23*b^29*d^2 + 512*A*B^5*a^25*b^27*d^2 - 2048*A*B^5*a^27*b^25*d^2 + 1836*A^5*B*a^17*b^35*d^2 + 15288*A^5*B*a^19*b^33*d^2 + 39084*A^5*B*a^21*b^31*d^2 + 39968*A^5*B*a^23*b^29*d^2 + 14336*A^5*B*a^25*b^27*d^2 - 31*A^2*B^4*a^16*b^36*d^2 + 3193*A^2*B^4*a^18*b^34*d^2 + 6351*A^2*B^4*a^20*b^32*d^2 - 5929*A^2*B^4*a^22*b^30*d^2 - 18400*A^2*B^4*a^24*b^28*d^2 - 9344*A^2*B^4*a^26*b^26*d^2 - 1768*A^3*B^3*a^17*b^35*d^2 - 7744*A^3*B^3*a^19*b^33*d^2 - 20232*A^3*B^3*a^21*b^31*d^2 - 22960*A^3*B^3*a^23*b^29*d^2 - 6656*A^3*B^3*a^25*b^27*d^2 + 2048*A^3*B^3*a^27*b^25*d^2 + 15*A^4*B^2*a^16*b^36*d^2 + 3619*A^4*B^2*a^18*b^34*d^2 + 11401*A^4*B^2*a^20*b^32*d^2 + 21205*A^4*B^2*a^22*b^30*d^2 + 23264*A^4*B^2*a^24*b^28*d^2 + 9856*A^4*B^2*a^26*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d) + (562949953421312*tan(c + d*x)^(1/2)*(5*A^8*a^16*b^37 - 376*A^8*a^18*b^35 - 1662*A^8*a^20*b^33 - 2688*A^8*a^22*b^31 - 1919*A^8*a^24*b^29 - 512*A^8*a^26*b^27 + B^8*a^16*b^37 + 3*B^8*a^18*b^35 + 101*B^8*a^20*b^33 + 421*B^8*a^22*b^31 + 674*B^8*a^24*b^29 + 480*B^8*a^26*b^27 + 128*B^8*a^28*b^25 + 155*A^2*B^6*a^18*b^35 + 1051*A^2*B^6*a^20*b^33 + 2373*A^2*B^6*a^22*b^31 + 2341*A^2*B^6*a^24*b^29 + 992*A^2*B^6*a^26*b^27 + 128*A^2*B^6*a^28*b^25 - 244*A^3*B^5*a^17*b^36 - 476*A^3*B^5*a^19*b^34 + 548*A^3*B^5*a^21*b^32 + 2060*A^3*B^5*a^23*b^30 + 1792*A^3*B^5*a^25*b^28 + 512*A^3*B^5*a^27*b^26 + 2*A^4*B^4*a^16*b^37 - 75*A^4*B^4*a^18*b^35 + 137*A^4*B^4*a^20*b^33 + 795*A^4*B^4*a^22*b^31 + 741*A^4*B^4*a^24*b^29 + 32*A^4*B^4*a^26*b^27 - 128*A^4*B^4*a^28*b^25 - 476*A^5*B^3*a^17*b^36 - 1912*A^5*B^3*a^19*b^34 - 3356*A^5*B^3*a^21*b^32 - 3392*A^5*B^3*a^23*b^30 - 1984*A^5*B^3*a^25*b^28 - 512*A^5*B^3*a^27*b^26 + 8*A^6*B^2*a^16*b^37 - 603*A^6*B^2*a^18*b^35 - 2475*A^6*B^2*a^20*b^33 - 3845*A^6*B^2*a^22*b^31 - 2845*A^6*B^2*a^24*b^29 - 992*A^6*B^2*a^26*b^27 - 128*A^6*B^2*a^28*b^25 - 4*A*B^7*a^17*b^36 + 320*A*B^7*a^19*b^34 + 1484*A*B^7*a^21*b^32 + 2504*A*B^7*a^23*b^30 + 1856*A*B^7*a^25*b^28 + 512*A*B^7*a^27*b^26 - 236*A^7*B*a^17*b^36 - 1116*A^7*B*a^19*b^34 - 2420*A^7*B*a^21*b^32 - 2948*A^7*B*a^23*b^30 - 1920*A^7*B*a^25*b^28 - 512*A^7*B*a^27*b^26))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*1i)/(b^(1/2)*d) - ((2*A*b + B*a)*((((281474976710656*(15*A^7*a^16*b^36*d^2 + 3205*A^7*a^18*b^34*d^2 + 9813*A^7*a^20*b^32*d^2 + 10135*A^7*a^22*b^30*d^2 + 3576*A^7*a^24*b^28*d^2 + 64*A^7*a^26*b^26*d^2 - 9*B^7*a^17*b^35*d^2 - 291*B^7*a^19*b^33*d^2 - 507*B^7*a^21*b^31*d^2 + 79*B^7*a^23*b^29*d^2 + 560*B^7*a^25*b^27*d^2 + 256*B^7*a^27*b^25*d^2 - 65*A*B^6*a^16*b^36*d^2 - 1191*A*B^6*a^18*b^34*d^2 - 1639*A*B^6*a^20*b^32*d^2 + 1187*A*B^6*a^22*b^30*d^2 + 2852*A*B^6*a^24*b^28*d^2 + 1152*A*B^6*a^26*b^26*d^2 + 423*A^6*B*a^17*b^35*d^2 + 8837*A^6*B*a^19*b^33*d^2 + 24869*A^6*B*a^21*b^31*d^2 + 24919*A^6*B*a^23*b^29*d^2 + 8464*A^6*B*a^25*b^27*d^2 - 939*A^2*B^5*a^17*b^35*d^2 - 801*A^2*B^5*a^19*b^33*d^2 + 3759*A^2*B^5*a^21*b^31*d^2 + 7701*A^2*B^5*a^23*b^29*d^2 + 5616*A^2*B^5*a^25*b^27*d^2 + 1536*A^2*B^5*a^27*b^25*d^2 - 51*A^3*B^4*a^16*b^36*d^2 + 231*A^3*B^4*a^18*b^34*d^2 + 7223*A^3*B^4*a^20*b^32*d^2 + 20781*A^3*B^4*a^22*b^30*d^2 + 21072*A^3*B^4*a^24*b^28*d^2 + 7232*A^3*B^4*a^26*b^26*d^2 - 507*A^4*B^3*a^17*b^35*d^2 + 8327*A^4*B^3*a^19*b^33*d^2 + 29135*A^4*B^3*a^21*b^31*d^2 + 32541*A^4*B^3*a^23*b^29*d^2 + 13520*A^4*B^3*a^25*b^27*d^2 + 1280*A^4*B^3*a^27*b^25*d^2 + 29*A^5*B^2*a^16*b^36*d^2 + 4627*A^5*B^2*a^18*b^34*d^2 + 18675*A^5*B^2*a^20*b^32*d^2 + 29729*A^5*B^2*a^22*b^30*d^2 + 21796*A^5*B^2*a^24*b^28*d^2 + 6144*A^5*B^2*a^26*b^26*d^2))/d^9 - ((2*A*b + B*a)*(((2*A*b + B*a)*((281474976710656*(180*A^5*a^16*b^35*d^4 + 15076*A^5*a^18*b^33*d^4 + 34540*A^5*a^20*b^31*d^4 + 24572*A^5*a^22*b^29*d^4 + 4928*A^5*a^24*b^27*d^4 - 88*B^5*a^17*b^34*d^4 + 1056*B^5*a^19*b^32*d^4 + 840*B^5*a^21*b^30*d^4 - 1840*B^5*a^23*b^28*d^4 - 1536*B^5*a^25*b^26*d^4 + 388*A*B^4*a^16*b^35*d^4 + 5188*A*B^4*a^18*b^33*d^4 - 1092*A*B^4*a^20*b^31*d^4 - 11076*A*B^4*a^22*b^29*d^4 - 64*A*B^4*a^24*b^27*d^4 + 5120*A*B^4*a^26*b^25*d^4 - 760*A^4*B*a^17*b^34*d^4 + 43248*A^4*B*a^19*b^32*d^4 + 94152*A^4*B*a^21*b^30*d^4 + 55520*A^4*B*a^23*b^28*d^4 + 5376*A^4*B*a^25*b^26*d^4 + 3248*A^2*B^3*a^17*b^34*d^4 - 12080*A^2*B^3*a^19*b^32*d^4 - 4464*A^2*B^3*a^21*b^30*d^4 + 40304*A^2*B^3*a^23*b^28*d^4 + 29440*A^2*B^3*a^25*b^26*d^4 - 200*A^3*B^2*a^16*b^35*d^4 - 12312*A^3*B^2*a^18*b^33*d^4 + 30504*A^3*B^2*a^20*b^31*d^4 + 98168*A^3*B^2*a^22*b^29*d^4 + 56576*A^3*B^2*a^24*b^27*d^4 + 1024*A^3*B^2*a^26*b^25*d^4))/d^9 - (((562949953421312*tan(c + d*x)^(1/2)*(23448*A^4*a^18*b^33*d^4 - 300*A^4*a^16*b^35*d^4 + 57252*A^4*a^20*b^31*d^4 + 43232*A^4*a^22*b^29*d^4 + 9728*A^4*a^24*b^27*d^4 - 108*B^4*a^16*b^35*d^4 + 1096*B^4*a^18*b^33*d^4 - 1660*B^4*a^20*b^31*d^4 - 9008*B^4*a^22*b^29*d^4 - 8192*B^4*a^24*b^27*d^4 - 2048*B^4*a^26*b^25*d^4 - 16*A*B^3*a^17*b^34*d^4 - 23520*A*B^3*a^19*b^32*d^4 - 48592*A*B^3*a^21*b^30*d^4 - 27136*A*B^3*a^23*b^28*d^4 - 2048*A*B^3*a^25*b^26*d^4 + 3600*A^3*B*a^17*b^34*d^4 + 64864*A^3*B*a^19*b^32*d^4 + 128336*A^3*B*a^21*b^30*d^4 + 77312*A^3*B*a^23*b^28*d^4 + 10240*A^3*B*a^25*b^26*d^4 + 264*A^2*B^2*a^16*b^35*d^4 - 18624*A^2*B^2*a^18*b^33*d^4 - 7928*A^2*B^2*a^20*b^31*d^4 + 42192*A^2*B^2*a^22*b^29*d^4 + 33280*A^2*B^2*a^24*b^27*d^4 + 2048*A^2*B^2*a^26*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))) + ((2*A*b + B*a)*((281474976710656*(720*A^3*a^16*b^34*d^6 + 25376*A^3*a^18*b^32*d^6 + 49616*A^3*a^20*b^30*d^6 + 25984*A^3*a^22*b^28*d^6 + 1024*A^3*a^24*b^26*d^6 + 624*B^3*a^17*b^33*d^6 - 2080*B^3*a^19*b^31*d^6 - 1936*B^3*a^21*b^29*d^6 + 4864*B^3*a^23*b^27*d^6 + 4096*B^3*a^25*b^25*d^6 - 1008*A*B^2*a^16*b^34*d^6 - 10400*A*B^2*a^18*b^32*d^6 + 8848*A*B^2*a^20*b^30*d^6 + 44864*A*B^2*a^22*b^28*d^6 + 26624*A*B^2*a^24*b^26*d^6 - 4304*A^2*B*a^17*b^33*d^6 + 35680*A^2*B*a^19*b^31*d^6 + 84272*A^2*B*a^21*b^29*d^6 + 44288*A^2*B*a^23*b^27*d^6))/d^9 - ((2*A*b + B*a)*((((281474976710656*(960*A*a^16*b^33*d^8 + 7040*A*a^18*b^31*d^8 + 11200*A*a^20*b^29*d^8 + 5120*A*a^22*b^27*d^8 - 1024*B*a^17*b^32*d^8 + 2048*B*a^19*b^30*d^8 + 7168*B*a^21*b^28*d^8 + 4096*B*a^23*b^26*d^8))/d^9 - (562949953421312*tan(c + d*x)^(1/2)*(2*A*b + B*a)*(7616*a^18*b^31*d^8 - 320*a^16*b^33*d^8 + 16128*a^20*b^29*d^8 + 8192*a^22*b^27*d^8))/(b^(1/2)*d^9*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*(2*A*b + B*a))/(b^(1/2)*d) + (562949953421312*tan(c + d*x)^(1/2)*(37600*A^2*a^18*b^32*d^6 - 560*A^2*a^16*b^34*d^6 + 78608*A^2*a^20*b^30*d^6 + 42496*A^2*a^22*b^28*d^6 + 2048*A^2*a^24*b^26*d^6 + 304*B^2*a^16*b^34*d^6 - 5152*B^2*a^18*b^32*d^6 - 4944*B^2*a^20*b^30*d^6 + 6656*B^2*a^22*b^28*d^6 + 6144*B^2*a^24*b^26*d^6 + 128*A*B*a^17*b^33*d^6 + 41600*A*B*a^19*b^31*d^6 + 82432*A*B*a^21*b^29*d^6 + 40960*A*B*a^23*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d)))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d)))/(b^(1/2)*d) + (562949953421312*tan(c + d*x)^(1/2)*(5135*A^6*a^18*b^34*d^2 - 65*A^6*a^16*b^36*d^2 + 16769*A^6*a^20*b^32*d^2 + 18065*A^6*a^22*b^30*d^2 + 6624*A^6*a^24*b^28*d^2 + 128*A^6*a^26*b^26*d^2 + 17*B^6*a^16*b^36*d^2 - 59*B^6*a^18*b^34*d^2 + 903*B^6*a^20*b^32*d^2 + 3443*B^6*a^22*b^30*d^2 + 3872*B^6*a^24*b^28*d^2 + 1408*B^6*a^26*b^26*d^2 - 20*A*B^5*a^17*b^35*d^2 + 4712*A*B^5*a^19*b^33*d^2 + 13964*A*B^5*a^21*b^31*d^2 + 11792*A*B^5*a^23*b^29*d^2 + 512*A*B^5*a^25*b^27*d^2 - 2048*A*B^5*a^27*b^25*d^2 + 1836*A^5*B*a^17*b^35*d^2 + 15288*A^5*B*a^19*b^33*d^2 + 39084*A^5*B*a^21*b^31*d^2 + 39968*A^5*B*a^23*b^29*d^2 + 14336*A^5*B*a^25*b^27*d^2 - 31*A^2*B^4*a^16*b^36*d^2 + 3193*A^2*B^4*a^18*b^34*d^2 + 6351*A^2*B^4*a^20*b^32*d^2 - 5929*A^2*B^4*a^22*b^30*d^2 - 18400*A^2*B^4*a^24*b^28*d^2 - 9344*A^2*B^4*a^26*b^26*d^2 - 1768*A^3*B^3*a^17*b^35*d^2 - 7744*A^3*B^3*a^19*b^33*d^2 - 20232*A^3*B^3*a^21*b^31*d^2 - 22960*A^3*B^3*a^23*b^29*d^2 - 6656*A^3*B^3*a^25*b^27*d^2 + 2048*A^3*B^3*a^27*b^25*d^2 + 15*A^4*B^2*a^16*b^36*d^2 + 3619*A^4*B^2*a^18*b^34*d^2 + 11401*A^4*B^2*a^20*b^32*d^2 + 21205*A^4*B^2*a^22*b^30*d^2 + 23264*A^4*B^2*a^24*b^28*d^2 + 9856*A^4*B^2*a^26*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d) - (562949953421312*tan(c + d*x)^(1/2)*(5*A^8*a^16*b^37 - 376*A^8*a^18*b^35 - 1662*A^8*a^20*b^33 - 2688*A^8*a^22*b^31 - 1919*A^8*a^24*b^29 - 512*A^8*a^26*b^27 + B^8*a^16*b^37 + 3*B^8*a^18*b^35 + 101*B^8*a^20*b^33 + 421*B^8*a^22*b^31 + 674*B^8*a^24*b^29 + 480*B^8*a^26*b^27 + 128*B^8*a^28*b^25 + 155*A^2*B^6*a^18*b^35 + 1051*A^2*B^6*a^20*b^33 + 2373*A^2*B^6*a^22*b^31 + 2341*A^2*B^6*a^24*b^29 + 992*A^2*B^6*a^26*b^27 + 128*A^2*B^6*a^28*b^25 - 244*A^3*B^5*a^17*b^36 - 476*A^3*B^5*a^19*b^34 + 548*A^3*B^5*a^21*b^32 + 2060*A^3*B^5*a^23*b^30 + 1792*A^3*B^5*a^25*b^28 + 512*A^3*B^5*a^27*b^26 + 2*A^4*B^4*a^16*b^37 - 75*A^4*B^4*a^18*b^35 + 137*A^4*B^4*a^20*b^33 + 795*A^4*B^4*a^22*b^31 + 741*A^4*B^4*a^24*b^29 + 32*A^4*B^4*a^26*b^27 - 128*A^4*B^4*a^28*b^25 - 476*A^5*B^3*a^17*b^36 - 1912*A^5*B^3*a^19*b^34 - 3356*A^5*B^3*a^21*b^32 - 3392*A^5*B^3*a^23*b^30 - 1984*A^5*B^3*a^25*b^28 - 512*A^5*B^3*a^27*b^26 + 8*A^6*B^2*a^16*b^37 - 603*A^6*B^2*a^18*b^35 - 2475*A^6*B^2*a^20*b^33 - 3845*A^6*B^2*a^22*b^31 - 2845*A^6*B^2*a^24*b^29 - 992*A^6*B^2*a^26*b^27 - 128*A^6*B^2*a^28*b^25 - 4*A*B^7*a^17*b^36 + 320*A*B^7*a^19*b^34 + 1484*A*B^7*a^21*b^32 + 2504*A*B^7*a^23*b^30 + 1856*A*B^7*a^25*b^28 + 512*A*B^7*a^27*b^26 - 236*A^7*B*a^17*b^36 - 1116*A^7*B*a^19*b^34 - 2420*A^7*B*a^21*b^32 - 2948*A^7*B*a^23*b^30 - 1920*A^7*B*a^25*b^28 - 512*A^7*B*a^27*b^26))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*1i)/(b^(1/2)*d))/(((2*A*b + B*a)*((((281474976710656*(15*A^7*a^16*b^36*d^2 + 3205*A^7*a^18*b^34*d^2 + 9813*A^7*a^20*b^32*d^2 + 10135*A^7*a^22*b^30*d^2 + 3576*A^7*a^24*b^28*d^2 + 64*A^7*a^26*b^26*d^2 - 9*B^7*a^17*b^35*d^2 - 291*B^7*a^19*b^33*d^2 - 507*B^7*a^21*b^31*d^2 + 79*B^7*a^23*b^29*d^2 + 560*B^7*a^25*b^27*d^2 + 256*B^7*a^27*b^25*d^2 - 65*A*B^6*a^16*b^36*d^2 - 1191*A*B^6*a^18*b^34*d^2 - 1639*A*B^6*a^20*b^32*d^2 + 1187*A*B^6*a^22*b^30*d^2 + 2852*A*B^6*a^24*b^28*d^2 + 1152*A*B^6*a^26*b^26*d^2 + 423*A^6*B*a^17*b^35*d^2 + 8837*A^6*B*a^19*b^33*d^2 + 24869*A^6*B*a^21*b^31*d^2 + 24919*A^6*B*a^23*b^29*d^2 + 8464*A^6*B*a^25*b^27*d^2 - 939*A^2*B^5*a^17*b^35*d^2 - 801*A^2*B^5*a^19*b^33*d^2 + 3759*A^2*B^5*a^21*b^31*d^2 + 7701*A^2*B^5*a^23*b^29*d^2 + 5616*A^2*B^5*a^25*b^27*d^2 + 1536*A^2*B^5*a^27*b^25*d^2 - 51*A^3*B^4*a^16*b^36*d^2 + 231*A^3*B^4*a^18*b^34*d^2 + 7223*A^3*B^4*a^20*b^32*d^2 + 20781*A^3*B^4*a^22*b^30*d^2 + 21072*A^3*B^4*a^24*b^28*d^2 + 7232*A^3*B^4*a^26*b^26*d^2 - 507*A^4*B^3*a^17*b^35*d^2 + 8327*A^4*B^3*a^19*b^33*d^2 + 29135*A^4*B^3*a^21*b^31*d^2 + 32541*A^4*B^3*a^23*b^29*d^2 + 13520*A^4*B^3*a^25*b^27*d^2 + 1280*A^4*B^3*a^27*b^25*d^2 + 29*A^5*B^2*a^16*b^36*d^2 + 4627*A^5*B^2*a^18*b^34*d^2 + 18675*A^5*B^2*a^20*b^32*d^2 + 29729*A^5*B^2*a^22*b^30*d^2 + 21796*A^5*B^2*a^24*b^28*d^2 + 6144*A^5*B^2*a^26*b^26*d^2))/d^9 - ((2*A*b + B*a)*(((2*A*b + B*a)*((281474976710656*(180*A^5*a^16*b^35*d^4 + 15076*A^5*a^18*b^33*d^4 + 34540*A^5*a^20*b^31*d^4 + 24572*A^5*a^22*b^29*d^4 + 4928*A^5*a^24*b^27*d^4 - 88*B^5*a^17*b^34*d^4 + 1056*B^5*a^19*b^32*d^4 + 840*B^5*a^21*b^30*d^4 - 1840*B^5*a^23*b^28*d^4 - 1536*B^5*a^25*b^26*d^4 + 388*A*B^4*a^16*b^35*d^4 + 5188*A*B^4*a^18*b^33*d^4 - 1092*A*B^4*a^20*b^31*d^4 - 11076*A*B^4*a^22*b^29*d^4 - 64*A*B^4*a^24*b^27*d^4 + 5120*A*B^4*a^26*b^25*d^4 - 760*A^4*B*a^17*b^34*d^4 + 43248*A^4*B*a^19*b^32*d^4 + 94152*A^4*B*a^21*b^30*d^4 + 55520*A^4*B*a^23*b^28*d^4 + 5376*A^4*B*a^25*b^26*d^4 + 3248*A^2*B^3*a^17*b^34*d^4 - 12080*A^2*B^3*a^19*b^32*d^4 - 4464*A^2*B^3*a^21*b^30*d^4 + 40304*A^2*B^3*a^23*b^28*d^4 + 29440*A^2*B^3*a^25*b^26*d^4 - 200*A^3*B^2*a^16*b^35*d^4 - 12312*A^3*B^2*a^18*b^33*d^4 + 30504*A^3*B^2*a^20*b^31*d^4 + 98168*A^3*B^2*a^22*b^29*d^4 + 56576*A^3*B^2*a^24*b^27*d^4 + 1024*A^3*B^2*a^26*b^25*d^4))/d^9 + (((562949953421312*tan(c + d*x)^(1/2)*(23448*A^4*a^18*b^33*d^4 - 300*A^4*a^16*b^35*d^4 + 57252*A^4*a^20*b^31*d^4 + 43232*A^4*a^22*b^29*d^4 + 9728*A^4*a^24*b^27*d^4 - 108*B^4*a^16*b^35*d^4 + 1096*B^4*a^18*b^33*d^4 - 1660*B^4*a^20*b^31*d^4 - 9008*B^4*a^22*b^29*d^4 - 8192*B^4*a^24*b^27*d^4 - 2048*B^4*a^26*b^25*d^4 - 16*A*B^3*a^17*b^34*d^4 - 23520*A*B^3*a^19*b^32*d^4 - 48592*A*B^3*a^21*b^30*d^4 - 27136*A*B^3*a^23*b^28*d^4 - 2048*A*B^3*a^25*b^26*d^4 + 3600*A^3*B*a^17*b^34*d^4 + 64864*A^3*B*a^19*b^32*d^4 + 128336*A^3*B*a^21*b^30*d^4 + 77312*A^3*B*a^23*b^28*d^4 + 10240*A^3*B*a^25*b^26*d^4 + 264*A^2*B^2*a^16*b^35*d^4 - 18624*A^2*B^2*a^18*b^33*d^4 - 7928*A^2*B^2*a^20*b^31*d^4 + 42192*A^2*B^2*a^22*b^29*d^4 + 33280*A^2*B^2*a^24*b^27*d^4 + 2048*A^2*B^2*a^26*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))) - ((2*A*b + B*a)*((281474976710656*(720*A^3*a^16*b^34*d^6 + 25376*A^3*a^18*b^32*d^6 + 49616*A^3*a^20*b^30*d^6 + 25984*A^3*a^22*b^28*d^6 + 1024*A^3*a^24*b^26*d^6 + 624*B^3*a^17*b^33*d^6 - 2080*B^3*a^19*b^31*d^6 - 1936*B^3*a^21*b^29*d^6 + 4864*B^3*a^23*b^27*d^6 + 4096*B^3*a^25*b^25*d^6 - 1008*A*B^2*a^16*b^34*d^6 - 10400*A*B^2*a^18*b^32*d^6 + 8848*A*B^2*a^20*b^30*d^6 + 44864*A*B^2*a^22*b^28*d^6 + 26624*A*B^2*a^24*b^26*d^6 - 4304*A^2*B*a^17*b^33*d^6 + 35680*A^2*B*a^19*b^31*d^6 + 84272*A^2*B*a^21*b^29*d^6 + 44288*A^2*B*a^23*b^27*d^6))/d^9 - ((2*A*b + B*a)*((((281474976710656*(960*A*a^16*b^33*d^8 + 7040*A*a^18*b^31*d^8 + 11200*A*a^20*b^29*d^8 + 5120*A*a^22*b^27*d^8 - 1024*B*a^17*b^32*d^8 + 2048*B*a^19*b^30*d^8 + 7168*B*a^21*b^28*d^8 + 4096*B*a^23*b^26*d^8))/d^9 + (562949953421312*tan(c + d*x)^(1/2)*(2*A*b + B*a)*(7616*a^18*b^31*d^8 - 320*a^16*b^33*d^8 + 16128*a^20*b^29*d^8 + 8192*a^22*b^27*d^8))/(b^(1/2)*d^9*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*(2*A*b + B*a))/(b^(1/2)*d) - (562949953421312*tan(c + d*x)^(1/2)*(37600*A^2*a^18*b^32*d^6 - 560*A^2*a^16*b^34*d^6 + 78608*A^2*a^20*b^30*d^6 + 42496*A^2*a^22*b^28*d^6 + 2048*A^2*a^24*b^26*d^6 + 304*B^2*a^16*b^34*d^6 - 5152*B^2*a^18*b^32*d^6 - 4944*B^2*a^20*b^30*d^6 + 6656*B^2*a^22*b^28*d^6 + 6144*B^2*a^24*b^26*d^6 + 128*A*B*a^17*b^33*d^6 + 41600*A*B*a^19*b^31*d^6 + 82432*A*B*a^21*b^29*d^6 + 40960*A*B*a^23*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d)))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d)))/(b^(1/2)*d) - (562949953421312*tan(c + d*x)^(1/2)*(5135*A^6*a^18*b^34*d^2 - 65*A^6*a^16*b^36*d^2 + 16769*A^6*a^20*b^32*d^2 + 18065*A^6*a^22*b^30*d^2 + 6624*A^6*a^24*b^28*d^2 + 128*A^6*a^26*b^26*d^2 + 17*B^6*a^16*b^36*d^2 - 59*B^6*a^18*b^34*d^2 + 903*B^6*a^20*b^32*d^2 + 3443*B^6*a^22*b^30*d^2 + 3872*B^6*a^24*b^28*d^2 + 1408*B^6*a^26*b^26*d^2 - 20*A*B^5*a^17*b^35*d^2 + 4712*A*B^5*a^19*b^33*d^2 + 13964*A*B^5*a^21*b^31*d^2 + 11792*A*B^5*a^23*b^29*d^2 + 512*A*B^5*a^25*b^27*d^2 - 2048*A*B^5*a^27*b^25*d^2 + 1836*A^5*B*a^17*b^35*d^2 + 15288*A^5*B*a^19*b^33*d^2 + 39084*A^5*B*a^21*b^31*d^2 + 39968*A^5*B*a^23*b^29*d^2 + 14336*A^5*B*a^25*b^27*d^2 - 31*A^2*B^4*a^16*b^36*d^2 + 3193*A^2*B^4*a^18*b^34*d^2 + 6351*A^2*B^4*a^20*b^32*d^2 - 5929*A^2*B^4*a^22*b^30*d^2 - 18400*A^2*B^4*a^24*b^28*d^2 - 9344*A^2*B^4*a^26*b^26*d^2 - 1768*A^3*B^3*a^17*b^35*d^2 - 7744*A^3*B^3*a^19*b^33*d^2 - 20232*A^3*B^3*a^21*b^31*d^2 - 22960*A^3*B^3*a^23*b^29*d^2 - 6656*A^3*B^3*a^25*b^27*d^2 + 2048*A^3*B^3*a^27*b^25*d^2 + 15*A^4*B^2*a^16*b^36*d^2 + 3619*A^4*B^2*a^18*b^34*d^2 + 11401*A^4*B^2*a^20*b^32*d^2 + 21205*A^4*B^2*a^22*b^30*d^2 + 23264*A^4*B^2*a^24*b^28*d^2 + 9856*A^4*B^2*a^26*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d) + (562949953421312*tan(c + d*x)^(1/2)*(5*A^8*a^16*b^37 - 376*A^8*a^18*b^35 - 1662*A^8*a^20*b^33 - 2688*A^8*a^22*b^31 - 1919*A^8*a^24*b^29 - 512*A^8*a^26*b^27 + B^8*a^16*b^37 + 3*B^8*a^18*b^35 + 101*B^8*a^20*b^33 + 421*B^8*a^22*b^31 + 674*B^8*a^24*b^29 + 480*B^8*a^26*b^27 + 128*B^8*a^28*b^25 + 155*A^2*B^6*a^18*b^35 + 1051*A^2*B^6*a^20*b^33 + 2373*A^2*B^6*a^22*b^31 + 2341*A^2*B^6*a^24*b^29 + 992*A^2*B^6*a^26*b^27 + 128*A^2*B^6*a^28*b^25 - 244*A^3*B^5*a^17*b^36 - 476*A^3*B^5*a^19*b^34 + 548*A^3*B^5*a^21*b^32 + 2060*A^3*B^5*a^23*b^30 + 1792*A^3*B^5*a^25*b^28 + 512*A^3*B^5*a^27*b^26 + 2*A^4*B^4*a^16*b^37 - 75*A^4*B^4*a^18*b^35 + 137*A^4*B^4*a^20*b^33 + 795*A^4*B^4*a^22*b^31 + 741*A^4*B^4*a^24*b^29 + 32*A^4*B^4*a^26*b^27 - 128*A^4*B^4*a^28*b^25 - 476*A^5*B^3*a^17*b^36 - 1912*A^5*B^3*a^19*b^34 - 3356*A^5*B^3*a^21*b^32 - 3392*A^5*B^3*a^23*b^30 - 1984*A^5*B^3*a^25*b^28 - 512*A^5*B^3*a^27*b^26 + 8*A^6*B^2*a^16*b^37 - 603*A^6*B^2*a^18*b^35 - 2475*A^6*B^2*a^20*b^33 - 3845*A^6*B^2*a^22*b^31 - 2845*A^6*B^2*a^24*b^29 - 992*A^6*B^2*a^26*b^27 - 128*A^6*B^2*a^28*b^25 - 4*A*B^7*a^17*b^36 + 320*A*B^7*a^19*b^34 + 1484*A*B^7*a^21*b^32 + 2504*A*B^7*a^23*b^30 + 1856*A*B^7*a^25*b^28 + 512*A*B^7*a^27*b^26 - 236*A^7*B*a^17*b^36 - 1116*A^7*B*a^19*b^34 - 2420*A^7*B*a^21*b^32 - 2948*A^7*B*a^23*b^30 - 1920*A^7*B*a^25*b^28 - 512*A^7*B*a^27*b^26))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d) - (562949953421312*(228*A^9*a^18*b^35 + 940*A^9*a^20*b^33 + 1452*A^9*a^22*b^31 + 996*A^9*a^24*b^29 + 256*A^9*a^26*b^27 + 2*B^9*a^17*b^36 + 31*B^9*a^19*b^34 + 97*B^9*a^21*b^32 + 125*B^9*a^23*b^30 + 73*B^9*a^25*b^28 + 16*B^9*a^27*b^26 + 96*A^2*B^7*a^17*b^36 + 653*A^2*B^7*a^19*b^34 + 1687*A^2*B^7*a^21*b^32 + 2103*A^2*B^7*a^23*b^30 + 1277*A^2*B^7*a^25*b^28 + 304*A^2*B^7*a^27*b^26 + 12*A^3*B^6*a^16*b^37 + 549*A^3*B^6*a^18*b^35 + 2191*A^3*B^6*a^20*b^33 + 3591*A^3*B^6*a^22*b^31 + 2937*A^3*B^6*a^24*b^29 + 1192*A^3*B^6*a^26*b^27 + 192*A^3*B^6*a^28*b^25 + 276*A^4*B^5*a^17*b^36 + 1773*A^4*B^5*a^19*b^34 + 4479*A^4*B^5*a^21*b^32 + 5559*A^4*B^5*a^23*b^30 + 3393*A^4*B^5*a^25*b^28 + 816*A^4*B^5*a^27*b^26 + 12*A^5*B^4*a^16*b^37 + 1005*A^5*B^4*a^18*b^35 + 4071*A^5*B^4*a^20*b^33 + 6495*A^5*B^4*a^22*b^31 + 4929*A^5*B^4*a^24*b^29 + 1704*A^5*B^4*a^26*b^27 + 192*A^5*B^4*a^28*b^25 + 272*A^6*B^3*a^17*b^36 + 1711*A^6*B^3*a^19*b^34 + 4285*A^6*B^3*a^21*b^32 + 5309*A^6*B^3*a^23*b^30 + 3247*A^6*B^3*a^25*b^28 + 784*A^6*B^3*a^27*b^26 + 4*A^7*B^2*a^16*b^37 + 791*A^7*B^2*a^18*b^35 + 3237*A^7*B^2*a^20*b^33 + 5069*A^7*B^2*a^22*b^31 + 3635*A^7*B^2*a^24*b^29 + 1080*A^7*B^2*a^26*b^27 + 64*A^7*B^2*a^28*b^25 + 4*A*B^8*a^16*b^37 + 107*A*B^8*a^18*b^35 + 417*A*B^8*a^20*b^33 + 713*A*B^8*a^22*b^31 + 647*A*B^8*a^24*b^29 + 312*A*B^8*a^26*b^27 + 64*A*B^8*a^28*b^25 + 90*A^8*B*a^17*b^36 + 560*A^8*B*a^19*b^34 + 1396*A^8*B*a^21*b^32 + 1728*A^8*B*a^23*b^30 + 1058*A^8*B*a^25*b^28 + 256*A^8*B*a^27*b^26))/d^9 + ((2*A*b + B*a)*((((281474976710656*(15*A^7*a^16*b^36*d^2 + 3205*A^7*a^18*b^34*d^2 + 9813*A^7*a^20*b^32*d^2 + 10135*A^7*a^22*b^30*d^2 + 3576*A^7*a^24*b^28*d^2 + 64*A^7*a^26*b^26*d^2 - 9*B^7*a^17*b^35*d^2 - 291*B^7*a^19*b^33*d^2 - 507*B^7*a^21*b^31*d^2 + 79*B^7*a^23*b^29*d^2 + 560*B^7*a^25*b^27*d^2 + 256*B^7*a^27*b^25*d^2 - 65*A*B^6*a^16*b^36*d^2 - 1191*A*B^6*a^18*b^34*d^2 - 1639*A*B^6*a^20*b^32*d^2 + 1187*A*B^6*a^22*b^30*d^2 + 2852*A*B^6*a^24*b^28*d^2 + 1152*A*B^6*a^26*b^26*d^2 + 423*A^6*B*a^17*b^35*d^2 + 8837*A^6*B*a^19*b^33*d^2 + 24869*A^6*B*a^21*b^31*d^2 + 24919*A^6*B*a^23*b^29*d^2 + 8464*A^6*B*a^25*b^27*d^2 - 939*A^2*B^5*a^17*b^35*d^2 - 801*A^2*B^5*a^19*b^33*d^2 + 3759*A^2*B^5*a^21*b^31*d^2 + 7701*A^2*B^5*a^23*b^29*d^2 + 5616*A^2*B^5*a^25*b^27*d^2 + 1536*A^2*B^5*a^27*b^25*d^2 - 51*A^3*B^4*a^16*b^36*d^2 + 231*A^3*B^4*a^18*b^34*d^2 + 7223*A^3*B^4*a^20*b^32*d^2 + 20781*A^3*B^4*a^22*b^30*d^2 + 21072*A^3*B^4*a^24*b^28*d^2 + 7232*A^3*B^4*a^26*b^26*d^2 - 507*A^4*B^3*a^17*b^35*d^2 + 8327*A^4*B^3*a^19*b^33*d^2 + 29135*A^4*B^3*a^21*b^31*d^2 + 32541*A^4*B^3*a^23*b^29*d^2 + 13520*A^4*B^3*a^25*b^27*d^2 + 1280*A^4*B^3*a^27*b^25*d^2 + 29*A^5*B^2*a^16*b^36*d^2 + 4627*A^5*B^2*a^18*b^34*d^2 + 18675*A^5*B^2*a^20*b^32*d^2 + 29729*A^5*B^2*a^22*b^30*d^2 + 21796*A^5*B^2*a^24*b^28*d^2 + 6144*A^5*B^2*a^26*b^26*d^2))/d^9 - ((2*A*b + B*a)*(((2*A*b + B*a)*((281474976710656*(180*A^5*a^16*b^35*d^4 + 15076*A^5*a^18*b^33*d^4 + 34540*A^5*a^20*b^31*d^4 + 24572*A^5*a^22*b^29*d^4 + 4928*A^5*a^24*b^27*d^4 - 88*B^5*a^17*b^34*d^4 + 1056*B^5*a^19*b^32*d^4 + 840*B^5*a^21*b^30*d^4 - 1840*B^5*a^23*b^28*d^4 - 1536*B^5*a^25*b^26*d^4 + 388*A*B^4*a^16*b^35*d^4 + 5188*A*B^4*a^18*b^33*d^4 - 1092*A*B^4*a^20*b^31*d^4 - 11076*A*B^4*a^22*b^29*d^4 - 64*A*B^4*a^24*b^27*d^4 + 5120*A*B^4*a^26*b^25*d^4 - 760*A^4*B*a^17*b^34*d^4 + 43248*A^4*B*a^19*b^32*d^4 + 94152*A^4*B*a^21*b^30*d^4 + 55520*A^4*B*a^23*b^28*d^4 + 5376*A^4*B*a^25*b^26*d^4 + 3248*A^2*B^3*a^17*b^34*d^4 - 12080*A^2*B^3*a^19*b^32*d^4 - 4464*A^2*B^3*a^21*b^30*d^4 + 40304*A^2*B^3*a^23*b^28*d^4 + 29440*A^2*B^3*a^25*b^26*d^4 - 200*A^3*B^2*a^16*b^35*d^4 - 12312*A^3*B^2*a^18*b^33*d^4 + 30504*A^3*B^2*a^20*b^31*d^4 + 98168*A^3*B^2*a^22*b^29*d^4 + 56576*A^3*B^2*a^24*b^27*d^4 + 1024*A^3*B^2*a^26*b^25*d^4))/d^9 - (((562949953421312*tan(c + d*x)^(1/2)*(23448*A^4*a^18*b^33*d^4 - 300*A^4*a^16*b^35*d^4 + 57252*A^4*a^20*b^31*d^4 + 43232*A^4*a^22*b^29*d^4 + 9728*A^4*a^24*b^27*d^4 - 108*B^4*a^16*b^35*d^4 + 1096*B^4*a^18*b^33*d^4 - 1660*B^4*a^20*b^31*d^4 - 9008*B^4*a^22*b^29*d^4 - 8192*B^4*a^24*b^27*d^4 - 2048*B^4*a^26*b^25*d^4 - 16*A*B^3*a^17*b^34*d^4 - 23520*A*B^3*a^19*b^32*d^4 - 48592*A*B^3*a^21*b^30*d^4 - 27136*A*B^3*a^23*b^28*d^4 - 2048*A*B^3*a^25*b^26*d^4 + 3600*A^3*B*a^17*b^34*d^4 + 64864*A^3*B*a^19*b^32*d^4 + 128336*A^3*B*a^21*b^30*d^4 + 77312*A^3*B*a^23*b^28*d^4 + 10240*A^3*B*a^25*b^26*d^4 + 264*A^2*B^2*a^16*b^35*d^4 - 18624*A^2*B^2*a^18*b^33*d^4 - 7928*A^2*B^2*a^20*b^31*d^4 + 42192*A^2*B^2*a^22*b^29*d^4 + 33280*A^2*B^2*a^24*b^27*d^4 + 2048*A^2*B^2*a^26*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))) + ((2*A*b + B*a)*((281474976710656*(720*A^3*a^16*b^34*d^6 + 25376*A^3*a^18*b^32*d^6 + 49616*A^3*a^20*b^30*d^6 + 25984*A^3*a^22*b^28*d^6 + 1024*A^3*a^24*b^26*d^6 + 624*B^3*a^17*b^33*d^6 - 2080*B^3*a^19*b^31*d^6 - 1936*B^3*a^21*b^29*d^6 + 4864*B^3*a^23*b^27*d^6 + 4096*B^3*a^25*b^25*d^6 - 1008*A*B^2*a^16*b^34*d^6 - 10400*A*B^2*a^18*b^32*d^6 + 8848*A*B^2*a^20*b^30*d^6 + 44864*A*B^2*a^22*b^28*d^6 + 26624*A*B^2*a^24*b^26*d^6 - 4304*A^2*B*a^17*b^33*d^6 + 35680*A^2*B*a^19*b^31*d^6 + 84272*A^2*B*a^21*b^29*d^6 + 44288*A^2*B*a^23*b^27*d^6))/d^9 - ((2*A*b + B*a)*((((281474976710656*(960*A*a^16*b^33*d^8 + 7040*A*a^18*b^31*d^8 + 11200*A*a^20*b^29*d^8 + 5120*A*a^22*b^27*d^8 - 1024*B*a^17*b^32*d^8 + 2048*B*a^19*b^30*d^8 + 7168*B*a^21*b^28*d^8 + 4096*B*a^23*b^26*d^8))/d^9 - (562949953421312*tan(c + d*x)^(1/2)*(2*A*b + B*a)*(7616*a^18*b^31*d^8 - 320*a^16*b^33*d^8 + 16128*a^20*b^29*d^8 + 8192*a^22*b^27*d^8))/(b^(1/2)*d^9*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*(2*A*b + B*a))/(b^(1/2)*d) + (562949953421312*tan(c + d*x)^(1/2)*(37600*A^2*a^18*b^32*d^6 - 560*A^2*a^16*b^34*d^6 + 78608*A^2*a^20*b^30*d^6 + 42496*A^2*a^22*b^28*d^6 + 2048*A^2*a^24*b^26*d^6 + 304*B^2*a^16*b^34*d^6 - 5152*B^2*a^18*b^32*d^6 - 4944*B^2*a^20*b^30*d^6 + 6656*B^2*a^22*b^28*d^6 + 6144*B^2*a^24*b^26*d^6 + 128*A*B*a^17*b^33*d^6 + 41600*A*B*a^19*b^31*d^6 + 82432*A*B*a^21*b^29*d^6 + 40960*A*B*a^23*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d)))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d)))/(b^(1/2)*d) + (562949953421312*tan(c + d*x)^(1/2)*(5135*A^6*a^18*b^34*d^2 - 65*A^6*a^16*b^36*d^2 + 16769*A^6*a^20*b^32*d^2 + 18065*A^6*a^22*b^30*d^2 + 6624*A^6*a^24*b^28*d^2 + 128*A^6*a^26*b^26*d^2 + 17*B^6*a^16*b^36*d^2 - 59*B^6*a^18*b^34*d^2 + 903*B^6*a^20*b^32*d^2 + 3443*B^6*a^22*b^30*d^2 + 3872*B^6*a^24*b^28*d^2 + 1408*B^6*a^26*b^26*d^2 - 20*A*B^5*a^17*b^35*d^2 + 4712*A*B^5*a^19*b^33*d^2 + 13964*A*B^5*a^21*b^31*d^2 + 11792*A*B^5*a^23*b^29*d^2 + 512*A*B^5*a^25*b^27*d^2 - 2048*A*B^5*a^27*b^25*d^2 + 1836*A^5*B*a^17*b^35*d^2 + 15288*A^5*B*a^19*b^33*d^2 + 39084*A^5*B*a^21*b^31*d^2 + 39968*A^5*B*a^23*b^29*d^2 + 14336*A^5*B*a^25*b^27*d^2 - 31*A^2*B^4*a^16*b^36*d^2 + 3193*A^2*B^4*a^18*b^34*d^2 + 6351*A^2*B^4*a^20*b^32*d^2 - 5929*A^2*B^4*a^22*b^30*d^2 - 18400*A^2*B^4*a^24*b^28*d^2 - 9344*A^2*B^4*a^26*b^26*d^2 - 1768*A^3*B^3*a^17*b^35*d^2 - 7744*A^3*B^3*a^19*b^33*d^2 - 20232*A^3*B^3*a^21*b^31*d^2 - 22960*A^3*B^3*a^23*b^29*d^2 - 6656*A^3*B^3*a^25*b^27*d^2 + 2048*A^3*B^3*a^27*b^25*d^2 + 15*A^4*B^2*a^16*b^36*d^2 + 3619*A^4*B^2*a^18*b^34*d^2 + 11401*A^4*B^2*a^20*b^32*d^2 + 21205*A^4*B^2*a^22*b^30*d^2 + 23264*A^4*B^2*a^24*b^28*d^2 + 9856*A^4*B^2*a^26*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d))*(2*A*b + B*a))/(b^(1/2)*d) - (562949953421312*tan(c + d*x)^(1/2)*(5*A^8*a^16*b^37 - 376*A^8*a^18*b^35 - 1662*A^8*a^20*b^33 - 2688*A^8*a^22*b^31 - 1919*A^8*a^24*b^29 - 512*A^8*a^26*b^27 + B^8*a^16*b^37 + 3*B^8*a^18*b^35 + 101*B^8*a^20*b^33 + 421*B^8*a^22*b^31 + 674*B^8*a^24*b^29 + 480*B^8*a^26*b^27 + 128*B^8*a^28*b^25 + 155*A^2*B^6*a^18*b^35 + 1051*A^2*B^6*a^20*b^33 + 2373*A^2*B^6*a^22*b^31 + 2341*A^2*B^6*a^24*b^29 + 992*A^2*B^6*a^26*b^27 + 128*A^2*B^6*a^28*b^25 - 244*A^3*B^5*a^17*b^36 - 476*A^3*B^5*a^19*b^34 + 548*A^3*B^5*a^21*b^32 + 2060*A^3*B^5*a^23*b^30 + 1792*A^3*B^5*a^25*b^28 + 512*A^3*B^5*a^27*b^26 + 2*A^4*B^4*a^16*b^37 - 75*A^4*B^4*a^18*b^35 + 137*A^4*B^4*a^20*b^33 + 795*A^4*B^4*a^22*b^31 + 741*A^4*B^4*a^24*b^29 + 32*A^4*B^4*a^26*b^27 - 128*A^4*B^4*a^28*b^25 - 476*A^5*B^3*a^17*b^36 - 1912*A^5*B^3*a^19*b^34 - 3356*A^5*B^3*a^21*b^32 - 3392*A^5*B^3*a^23*b^30 - 1984*A^5*B^3*a^25*b^28 - 512*A^5*B^3*a^27*b^26 + 8*A^6*B^2*a^16*b^37 - 603*A^6*B^2*a^18*b^35 - 2475*A^6*B^2*a^20*b^33 - 3845*A^6*B^2*a^22*b^31 - 2845*A^6*B^2*a^24*b^29 - 992*A^6*B^2*a^26*b^27 - 128*A^6*B^2*a^28*b^25 - 4*A*B^7*a^17*b^36 + 320*A*B^7*a^19*b^34 + 1484*A*B^7*a^21*b^32 + 2504*A*B^7*a^23*b^30 + 1856*A*B^7*a^25*b^28 + 512*A*B^7*a^27*b^26 - 236*A^7*B*a^17*b^36 - 1116*A^7*B*a^19*b^34 - 2420*A^7*B*a^21*b^32 - 2948*A^7*B*a^23*b^30 - 1920*A^7*B*a^25*b^28 - 512*A^7*B*a^27*b^26))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2)))))/(b^(1/2)*d)))*(2*A*b + B*a)*2i)/(b^(1/2)*d)","B"
429,1,1141,169,17.993727,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(1/2),x)","\mathrm{atanh}\left(\frac{a^{3/2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^2\,d^4}-A^2\,b\,d^2}{d^4}}\,\sqrt{-A^4\,a^2\,d^4}-a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^2\,d^4}-A^2\,b\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,a^2\,d^4}+A^2\,a^{3/2}\,b\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^2\,d^4}-A^2\,b\,d^2}{d^4}}-A^2\,a\,b\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-A^4\,a^2\,d^4}-A^2\,b\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{A^3\,a^3\,d^2-A\,a\,b\,\sqrt{-A^4\,a^2\,d^4}-A\,b^2\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-A^4\,a^2\,d^4}-A^3\,a^{5/2}\,d^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+A^3\,a^2\,b\,d^2\,\mathrm{tan}\left(c+d\,x\right)+A\,\sqrt{a}\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,a^2\,d^4}}\right)\,\sqrt{\frac{\sqrt{-A^4\,a^2\,d^4}-A^2\,b\,d^2}{d^4}}-\mathrm{atanh}\left(\frac{a^{3/2}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^2\,d^4}+A^2\,b\,d^2}{d^4}}\,\sqrt{-A^4\,a^2\,d^4}-a\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^2\,d^4}+A^2\,b\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,a^2\,d^4}-A^2\,a^{3/2}\,b\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^2\,d^4}+A^2\,b\,d^2}{d^4}}+A^2\,a\,b\,d^3\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-A^4\,a^2\,d^4}+A^2\,b\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{A^3\,a^3\,d^2+A\,a\,b\,\sqrt{-A^4\,a^2\,d^4}+A\,b^2\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-A^4\,a^2\,d^4}-A^3\,a^{5/2}\,d^2\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}+A^3\,a^2\,b\,d^2\,\mathrm{tan}\left(c+d\,x\right)-A\,\sqrt{a}\,b\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-A^4\,a^2\,d^4}}\right)\,\sqrt{-\frac{\sqrt{-A^4\,a^2\,d^4}+A^2\,b\,d^2}{d^4}}+\mathrm{atanh}\left(\frac{2\,\left(\frac{\sqrt{a}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^2\,d^4}+B^2\,b\,d^2}{d^4}}}{2}-\frac{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-B^4\,a^2\,d^4}+B^2\,b\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{2}\right)}{B\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{a}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}\right)\,\sqrt{\frac{\sqrt{-B^4\,a^2\,d^4}+B^2\,b\,d^2}{d^4}}+\mathrm{atanh}\left(\frac{2\,\left(\frac{\sqrt{a}\,d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^2\,d^4}-B^2\,b\,d^2}{d^4}}}{2}-\frac{d\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-B^4\,a^2\,d^4}-B^2\,b\,d^2}{d^4}}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{2}\right)}{B\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)-\sqrt{a}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}\right)}\right)\,\sqrt{-\frac{\sqrt{-B^4\,a^2\,d^4}-B^2\,b\,d^2}{d^4}}+\frac{4\,B\,\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}","Not used",1,"atanh((a^(3/2)*d*tan(c + d*x)^(1/2)*(((-A^4*a^2*d^4)^(1/2) - A^2*b*d^2)/d^4)^(1/2)*(-A^4*a^2*d^4)^(1/2) - a*d*tan(c + d*x)^(1/2)*(((-A^4*a^2*d^4)^(1/2) - A^2*b*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-A^4*a^2*d^4)^(1/2) + A^2*a^(3/2)*b*d^3*tan(c + d*x)^(1/2)*(((-A^4*a^2*d^4)^(1/2) - A^2*b*d^2)/d^4)^(1/2) - A^2*a*b*d^3*tan(c + d*x)^(1/2)*(((-A^4*a^2*d^4)^(1/2) - A^2*b*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(A^3*a^3*d^2 - A*a*b*(-A^4*a^2*d^4)^(1/2) - A*b^2*tan(c + d*x)*(-A^4*a^2*d^4)^(1/2) - A^3*a^(5/2)*d^2*(a + b*tan(c + d*x))^(1/2) + A^3*a^2*b*d^2*tan(c + d*x) + A*a^(1/2)*b*(a + b*tan(c + d*x))^(1/2)*(-A^4*a^2*d^4)^(1/2)))*(((-A^4*a^2*d^4)^(1/2) - A^2*b*d^2)/d^4)^(1/2) - atanh((a^(3/2)*d*tan(c + d*x)^(1/2)*(-((-A^4*a^2*d^4)^(1/2) + A^2*b*d^2)/d^4)^(1/2)*(-A^4*a^2*d^4)^(1/2) - a*d*tan(c + d*x)^(1/2)*(-((-A^4*a^2*d^4)^(1/2) + A^2*b*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2)*(-A^4*a^2*d^4)^(1/2) - A^2*a^(3/2)*b*d^3*tan(c + d*x)^(1/2)*(-((-A^4*a^2*d^4)^(1/2) + A^2*b*d^2)/d^4)^(1/2) + A^2*a*b*d^3*tan(c + d*x)^(1/2)*(-((-A^4*a^2*d^4)^(1/2) + A^2*b*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2))/(A^3*a^3*d^2 + A*a*b*(-A^4*a^2*d^4)^(1/2) + A*b^2*tan(c + d*x)*(-A^4*a^2*d^4)^(1/2) - A^3*a^(5/2)*d^2*(a + b*tan(c + d*x))^(1/2) + A^3*a^2*b*d^2*tan(c + d*x) - A*a^(1/2)*b*(a + b*tan(c + d*x))^(1/2)*(-A^4*a^2*d^4)^(1/2)))*(-((-A^4*a^2*d^4)^(1/2) + A^2*b*d^2)/d^4)^(1/2) + atanh((2*((a^(1/2)*d*tan(c + d*x)^(1/2)*(((-B^4*a^2*d^4)^(1/2) + B^2*b*d^2)/d^4)^(1/2))/2 - (d*tan(c + d*x)^(1/2)*(((-B^4*a^2*d^4)^(1/2) + B^2*b*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2))/2))/(B*(a + b*tan(c + d*x) - a^(1/2)*(a + b*tan(c + d*x))^(1/2))))*(((-B^4*a^2*d^4)^(1/2) + B^2*b*d^2)/d^4)^(1/2) + atanh((2*((a^(1/2)*d*tan(c + d*x)^(1/2)*(-((-B^4*a^2*d^4)^(1/2) - B^2*b*d^2)/d^4)^(1/2))/2 - (d*tan(c + d*x)^(1/2)*(-((-B^4*a^2*d^4)^(1/2) - B^2*b*d^2)/d^4)^(1/2)*(a + b*tan(c + d*x))^(1/2))/2))/(B*(a + b*tan(c + d*x) - a^(1/2)*(a + b*tan(c + d*x))^(1/2))))*(-((-B^4*a^2*d^4)^(1/2) - B^2*b*d^2)/d^4)^(1/2) + (4*B*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"
430,0,-1,154,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(3/2), x)","F"
431,0,-1,199,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(5/2), x)","F"
432,0,-1,250,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(7/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(7/2), x)","F"
433,0,-1,314,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(9/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}}{{\mathrm{tan}\left(c+d\,x\right)}^{9/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/tan(c + d*x)^(9/2), x)","F"
434,0,-1,323,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
435,0,-1,268,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
436,0,-1,204,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2))/tan(c + d*x)^(1/2), x)","F"
437,0,-1,209,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2))/tan(c + d*x)^(3/2), x)","F"
438,0,-1,196,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2))/tan(c + d*x)^(5/2), x)","F"
439,0,-1,259,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2))/tan(c + d*x)^(7/2), x)","F"
440,0,-1,311,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2))/tan(c + d*x)^(9/2), x)","F"
441,0,-1,382,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2))/tan(c + d*x)^(11/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{11/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2))/tan(c + d*x)^(11/2), x)","F"
442,0,-1,397,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
443,0,-1,316,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
444,0,-1,260,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(1/2), x)","F"
445,0,-1,241,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(3/2), x)","F"
446,0,-1,240,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(5/2), x)","F"
447,0,-1,247,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(7/2), x)","F"
448,0,-1,309,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(9/2), x)","F"
449,-1,-1,378,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(11/2),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
450,0,-1,460,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(13/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{{\mathrm{tan}\left(c+d\,x\right)}^{13/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(13/2), x)","F"
451,0,-1,253,0.000000,"\text{Not used}","int(((B*tan(c + d*x) + (3*B*b)/(2*a))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(5/2),x)","\int \frac{\left(B\,\mathrm{tan}\left(c+d\,x\right)+\frac{3\,B\,b}{2\,a}\right)\,{\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(((B*tan(c + d*x) + (3*B*b)/(2*a))*(a + b*tan(c + d*x))^(5/2))/tan(c + d*x)^(5/2), x)","F"
452,0,-1,206,0.000000,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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)))/(a + b*tan(c + d*x))^(1/2), x)","F"
453,1,30600,168,91.161811,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\mathrm{atan}\left(\frac{\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\frac{549755813888\,\left(4\,A^8\,a^{12}\,b^{30}+256\,A^7\,B\,a^{15}\,b^{27}-144\,A^7\,B\,a^{13}\,b^{29}-3072\,A^6\,B^2\,a^{16}\,b^{26}+1536\,A^6\,B^2\,a^{14}\,b^{28}+8\,A^6\,B^2\,a^{12}\,b^{30}+4096\,A^5\,B^3\,a^{17}\,b^{25}-4864\,A^5\,B^3\,a^{15}\,b^{27}-288\,A^5\,B^3\,a^{13}\,b^{29}-1024\,A^4\,B^4\,a^{16}\,b^{26}+3072\,A^4\,B^4\,a^{14}\,b^{28}+4\,A^4\,B^4\,a^{12}\,b^{30}+8192\,A^3\,B^5\,a^{17}\,b^{25}-10496\,A^3\,B^5\,a^{15}\,b^{27}-144\,A^3\,B^5\,a^{13}\,b^{29}+7168\,A^2\,B^6\,a^{16}\,b^{26}+1536\,A^2\,B^6\,a^{14}\,b^{28}+4096\,A\,B^7\,a^{17}\,b^{25}-5376\,A\,B^7\,a^{15}\,b^{27}+5120\,B^8\,a^{16}\,b^{26}\right)}{d^8}+\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}+\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}-\frac{549755813888\,\mathrm{tan}\left(c+d\,x\right)\,\left(4\,A^8\,a^{12}\,b^{31}+512\,A^7\,B\,a^{15}\,b^{28}-192\,A^7\,B\,a^{13}\,b^{30}+16384\,A^6\,B^2\,a^{18}\,b^{25}-12288\,A^6\,B^2\,a^{16}\,b^{27}+2944\,A^6\,B^2\,a^{14}\,b^{29}+8\,A^6\,B^2\,a^{12}\,b^{31}+40960\,A^5\,B^3\,a^{17}\,b^{26}-14336\,A^5\,B^3\,a^{15}\,b^{28}-384\,A^5\,B^3\,a^{13}\,b^{30}+32768\,A^4\,B^4\,a^{18}\,b^{25}+1024\,A^4\,B^4\,a^{16}\,b^{27}+5888\,A^4\,B^4\,a^{14}\,b^{29}+4\,A^4\,B^4\,a^{12}\,b^{31}+81920\,A^3\,B^5\,a^{17}\,b^{26}-30208\,A^3\,B^5\,a^{15}\,b^{28}-192\,A^3\,B^5\,a^{13}\,b^{30}+16384\,A^2\,B^6\,a^{18}\,b^{25}+38912\,A^2\,B^6\,a^{16}\,b^{27}+2944\,A^2\,B^6\,a^{14}\,b^{29}+40960\,A\,B^7\,a^{17}\,b^{26}-15360\,A\,B^7\,a^{15}\,b^{28}+25600\,B^8\,a^{16}\,b^{27}\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}\right)\,\sqrt{\frac{-A^2+A\,B\,2{}\mathrm{i}+B^2}{4\,\left(b\,d^2+a\,d^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}-\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,1{}\mathrm{i}}{\frac{549755813888\,\left(4\,A^8\,a^{12}\,b^{30}+256\,A^7\,B\,a^{15}\,b^{27}-144\,A^7\,B\,a^{13}\,b^{29}-3072\,A^6\,B^2\,a^{16}\,b^{26}+1536\,A^6\,B^2\,a^{14}\,b^{28}+8\,A^6\,B^2\,a^{12}\,b^{30}+4096\,A^5\,B^3\,a^{17}\,b^{25}-4864\,A^5\,B^3\,a^{15}\,b^{27}-288\,A^5\,B^3\,a^{13}\,b^{29}-1024\,A^4\,B^4\,a^{16}\,b^{26}+3072\,A^4\,B^4\,a^{14}\,b^{28}+4\,A^4\,B^4\,a^{12}\,b^{30}+8192\,A^3\,B^5\,a^{17}\,b^{25}-10496\,A^3\,B^5\,a^{15}\,b^{27}-144\,A^3\,B^5\,a^{13}\,b^{29}+7168\,A^2\,B^6\,a^{16}\,b^{26}+1536\,A^2\,B^6\,a^{14}\,b^{28}+4096\,A\,B^7\,a^{17}\,b^{25}-5376\,A\,B^7\,a^{15}\,b^{27}+5120\,B^8\,a^{16}\,b^{26}\right)}{d^8}+\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(4096\,A^6\,a^{18}\,b^{26}\,d^2-3584\,A^6\,a^{16}\,b^{28}\,d^2+1408\,A^6\,a^{14}\,b^{30}\,d^2-72\,A^6\,a^{12}\,b^{32}\,d^2+10240\,A^5\,B\,a^{17}\,b^{27}\,d^2-9856\,A^5\,B\,a^{15}\,b^{29}\,d^2+2848\,A^5\,B\,a^{13}\,b^{31}\,d^2-57344\,A^4\,B^2\,a^{18}\,b^{26}\,d^2+169728\,A^4\,B^2\,a^{16}\,b^{28}\,d^2-25568\,A^4\,B^2\,a^{14}\,b^{30}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{32}\,d^2+262144\,A^3\,B^3\,a^{19}\,b^{25}\,d^2-503808\,A^3\,B^3\,a^{17}\,b^{27}\,d^2+162560\,A^3\,B^3\,a^{15}\,b^{29}\,d^2+928\,A^3\,B^3\,a^{13}\,b^{31}\,d^2+921600\,A^2\,B^4\,a^{18}\,b^{26}\,d^2-411648\,A^2\,B^4\,a^{16}\,b^{28}\,d^2+21440\,A^2\,B^4\,a^{14}\,b^{30}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{32}\,d^2+747520\,A\,B^5\,a^{17}\,b^{27}\,d^2-128640\,A\,B^5\,a^{15}\,b^{29}\,d^2+1280\,A\,B^5\,a^{13}\,b^{31}\,d^2+65536\,B^6\,a^{18}\,b^{26}\,d^2+275200\,B^6\,a^{16}\,b^{28}\,d^2-1760\,B^6\,a^{14}\,b^{30}\,d^2+25\,B^6\,a^{12}\,b^{32}\,d^2\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,\left(\left(\left(\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(65536\,A^2\,a^{20}\,b^{26}\,d^6-122880\,A^2\,a^{18}\,b^{28}\,d^6-137216\,A^2\,a^{16}\,b^{30}\,d^6+46704\,A^2\,a^{14}\,b^{32}\,d^6-1440\,A^2\,a^{12}\,b^{34}\,d^6+425984\,A\,B\,a^{19}\,b^{27}\,d^6+276480\,A\,B\,a^{17}\,b^{29}\,d^6-121856\,A\,B\,a^{15}\,b^{31}\,d^6+21600\,A\,B\,a^{13}\,b^{33}\,d^6+1048576\,B^2\,a^{20}\,b^{26}\,d^6+2306048\,B^2\,a^{18}\,b^{28}\,d^6+1200640\,B^2\,a^{16}\,b^{30}\,d^6-52320\,B^2\,a^{14}\,b^{32}\,d^6+1200\,B^2\,a^{12}\,b^{34}\,d^6\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\left(\left(\frac{274877906944\,\left(65536\,a^{20}\,b^{26}\,d^8+106496\,a^{18}\,b^{28}\,d^8+22784\,a^{16}\,b^{30}\,d^8-16640\,a^{14}\,b^{32}\,d^8+1600\,a^{12}\,b^{34}\,d^8\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(262144\,a^{20}\,b^{27}\,d^8+466944\,a^{18}\,b^{29}\,d^8+155136\,a^{16}\,b^{31}\,d^8-48000\,a^{14}\,b^{33}\,d^8+1600\,a^{12}\,b^{35}\,d^8\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-8192\,B\,a^{20}\,b^{26}\,d^6+6144\,A\,a^{19}\,b^{27}\,d^6-5632\,B\,a^{18}\,b^{28}\,d^6+8960\,A\,a^{17}\,b^{29}\,d^6+9472\,B\,a^{16}\,b^{30}\,d^6+3064\,A\,a^{15}\,b^{31}\,d^6+6920\,B\,a^{14}\,b^{32}\,d^6+240\,A\,a^{13}\,b^{33}\,d^6\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-45056\,A^2\,a^{18}\,b^{27}\,d^6-22016\,A^2\,a^{16}\,b^{29}\,d^6+19216\,A^2\,a^{14}\,b^{31}\,d^6-1440\,A^2\,a^{12}\,b^{33}\,d^6+81920\,A\,B\,a^{19}\,b^{26}\,d^6+34816\,A\,B\,a^{17}\,b^{28}\,d^6-25792\,A\,B\,a^{15}\,b^{30}\,d^6+16480\,A\,B\,a^{13}\,b^{32}\,d^6+262144\,B^2\,a^{20}\,b^{25}\,d^6+561152\,B^2\,a^{18}\,b^{27}\,d^6+279040\,B^2\,a^{16}\,b^{29}\,d^6-16640\,B^2\,a^{14}\,b^{31}\,d^6+1200\,B^2\,a^{12}\,b^{33}\,d^6\right)}{d^8}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(2816\,A^3\,a^{17}\,b^{28}\,d^4+1200\,A^3\,a^{15}\,b^{30}\,d^4+168\,A^3\,a^{13}\,b^{32}\,d^4-12288\,A^2\,B\,a^{18}\,b^{27}\,d^4-2048\,A^2\,B\,a^{16}\,b^{29}\,d^4+4746\,A^2\,B\,a^{14}\,b^{31}\,d^4-16384\,A\,B^2\,a^{19}\,b^{26}\,d^4-48896\,A\,B^2\,a^{17}\,b^{28}\,d^4-26736\,A\,B^2\,a^{15}\,b^{30}\,d^4+180\,A\,B^2\,a^{13}\,b^{32}\,d^4+32768\,B^3\,a^{20}\,b^{25}\,d^4+57344\,B^3\,a^{18}\,b^{27}\,d^4+17920\,B^3\,a^{16}\,b^{29}\,d^4-4770\,B^3\,a^{14}\,b^{31}\,d^4\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}+\frac{274877906944\,\left(4096\,A^4\,a^{18}\,b^{26}\,d^4+8704\,A^4\,a^{16}\,b^{28}\,d^4-6448\,A^4\,a^{14}\,b^{30}\,d^4+484\,A^4\,a^{12}\,b^{32}\,d^4-16384\,A^3\,B\,a^{17}\,b^{27}\,d^4+23808\,A^3\,B\,a^{15}\,b^{29}\,d^4-10392\,A^3\,B\,a^{13}\,b^{31}\,d^4-155648\,A^2\,B^2\,a^{18}\,b^{26}\,d^4-181248\,A^2\,B^2\,a^{16}\,b^{28}\,d^4+46496\,A^2\,B^2\,a^{14}\,b^{30}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{32}\,d^4+327680\,A\,B^3\,a^{19}\,b^{25}\,d^4+253952\,A\,B^3\,a^{17}\,b^{27}\,d^4-104960\,A\,B^3\,a^{15}\,b^{29}\,d^4+7720\,A\,B^3\,a^{13}\,b^{31}\,d^4+217088\,B^4\,a^{18}\,b^{26}\,d^4+217600\,B^4\,a^{16}\,b^{28}\,d^4-5040\,B^4\,a^{14}\,b^{30}\,d^4+300\,B^4\,a^{12}\,b^{32}\,d^4\right)}{d^8}-\frac{274877906944\,\mathrm{tan}\left(c+d\,x\right)\,\left(-16384\,A^4\,a^{18}\,b^{27}\,d^4+41472\,A^4\,a^{16}\,b^{29}\,d^4-14304\,A^4\,a^{14}\,b^{31}\,d^4+484\,A^4\,a^{12}\,b^{33}\,d^4+65536\,A^3\,B\,a^{19}\,b^{26}\,d^4-131072\,A^3\,B\,a^{17}\,b^{28}\,d^4+73728\,A^3\,B\,a^{15}\,b^{30}\,d^4-13704\,A^3\,B\,a^{13}\,b^{32}\,d^4+262144\,A^2\,B^2\,a^{20}\,b^{25}\,d^4-229376\,A^2\,B^2\,a^{18}\,b^{27}\,d^4-807936\,A^2\,B^2\,a^{16}\,b^{29}\,d^4+86144\,A^2\,B^2\,a^{14}\,b^{31}\,d^4-320\,A^2\,B^2\,a^{12}\,b^{33}\,d^4+1703936\,A\,B^3\,a^{19}\,b^{26}\,d^4+1617920\,A\,B^3\,a^{17}\,b^{28}\,d^4-320000\,A\,B^3\,a^{15}\,b^{30}\,d^4+10520\,A\,B^3\,a^{13}\,b^{32}\,d^4+950272\,B^4\,a^{18}\,b^{27}\,d^4+985600\,B^4\,a^{16}\,b^{29}\,d^4-17120\,B^4\,a^{14}\,b^{31}\,d^4+300\,B^4\,a^{12}\,b^{33}\,d^4\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}\right)-\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-384\,A^5\,a^{17}\,b^{27}\,d^2-48\,A^5\,a^{15}\,b^{29}\,d^2-39\,A^5\,a^{13}\,b^{31}\,d^2+512\,A^4\,B\,a^{18}\,b^{26}\,d^2+608\,A^4\,B\,a^{16}\,b^{28}\,d^2-1152\,A^4\,B\,a^{14}\,b^{30}\,d^2+9472\,A^3\,B^2\,a^{17}\,b^{27}\,d^2+10400\,A^3\,B^2\,a^{15}\,b^{29}\,d^2-159\,A^3\,B^2\,a^{13}\,b^{31}\,d^2-39936\,A^2\,B^3\,a^{18}\,b^{26}\,d^2-30272\,A^2\,B^3\,a^{16}\,b^{28}\,d^2+824\,A^2\,B^3\,a^{14}\,b^{30}\,d^2+32768\,A\,B^4\,a^{19}\,b^{25}\,d^2+7808\,A\,B^4\,a^{17}\,b^{27}\,d^2-10800\,A\,B^4\,a^{15}\,b^{29}\,d^2+120\,A\,B^4\,a^{13}\,b^{31}\,d^2+16896\,B^5\,a^{18}\,b^{26}\,d^2+10080\,B^5\,a^{16}\,b^{28}\,d^2-1080\,B^5\,a^{14}\,b^{30}\,d^2\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{274877906944\,\left(-768\,A^6\,a^{16}\,b^{27}\,d^2+672\,A^6\,a^{14}\,b^{29}\,d^2-72\,A^6\,a^{12}\,b^{31}\,d^2+1024\,A^5\,B\,a^{17}\,b^{26}\,d^2-3456\,A^5\,B\,a^{15}\,b^{28}\,d^2+2148\,A^5\,B\,a^{13}\,b^{30}\,d^2+16384\,A^4\,B^2\,a^{18}\,b^{25}\,d^2+43776\,A^4\,B^2\,a^{16}\,b^{27}\,d^2-13728\,A^4\,B^2\,a^{14}\,b^{29}\,d^2-23\,A^4\,B^2\,a^{12}\,b^{31}\,d^2-79872\,A^3\,B^3\,a^{17}\,b^{26}\,d^2+66816\,A^3\,B^3\,a^{15}\,b^{28}\,d^2+744\,A^3\,B^3\,a^{13}\,b^{30}\,d^2+98304\,A^2\,B^4\,a^{18}\,b^{25}\,d^2-119040\,A^2\,B^4\,a^{16}\,b^{27}\,d^2+12000\,A^2\,B^4\,a^{14}\,b^{29}\,d^2+10\,A^2\,B^4\,a^{12}\,b^{31}\,d^2+115712\,A\,B^5\,a^{17}\,b^{26}\,d^2-44416\,A\,B^5\,a^{15}\,b^{28}\,d^2+900\,A\,B^5\,a^{13}\,b^{30}\,d^2+16384\,B^6\,a^{18}\,b^{25}\,d^2+57600\,B^6\,a^{16}\,b^{27}\,d^2-480\,B^6\,a^{14}\,b^{29}\,d^2+25\,B^6\,a^{12}\,b^{31}\,d^2\right)}{d^8}\right)+\frac{2199023255552\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(-16\,A^7\,a^{15}\,b^{28}+3\,A^7\,a^{13}\,b^{30}-128\,A^6\,B\,a^{16}\,b^{27}+96\,A^6\,B\,a^{14}\,b^{29}-1536\,A^5\,B^2\,a^{17}\,b^{26}-1200\,A^5\,B^2\,a^{15}\,b^{28}+25\,A^5\,B^2\,a^{13}\,b^{30}+2048\,A^4\,B^3\,a^{18}\,b^{25}+1024\,A^4\,B^3\,a^{16}\,b^{27}+112\,A^4\,B^3\,a^{14}\,b^{29}-3072\,A^3\,B^4\,a^{17}\,b^{26}-2352\,A^3\,B^4\,a^{15}\,b^{28}+37\,A^3\,B^4\,a^{13}\,b^{30}+4096\,A^2\,B^5\,a^{18}\,b^{25}+2432\,A^2\,B^5\,a^{16}\,b^{27}-64\,A^2\,B^5\,a^{14}\,b^{29}-1536\,A\,B^6\,a^{17}\,b^{26}-1168\,A\,B^6\,a^{15}\,b^{28}+15\,A\,B^6\,a^{13}\,b^{30}+2048\,B^7\,a^{18}\,b^{25}+1280\,B^7\,a^{16}\,b^{27}-80\,B^7\,a^{14}\,b^{29}\right)}{d^7\,\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}-\frac{549755813888\,\mathrm{tan}\left(c+d\,x\right)\,\left(4\,A^8\,a^{12}\,b^{31}+512\,A^7\,B\,a^{15}\,b^{28}-192\,A^7\,B\,a^{13}\,b^{30}+16384\,A^6\,B^2\,a^{18}\,b^{25}-12288\,A^6\,B^2\,a^{16}\,b^{27}+2944\,A^6\,B^2\,a^{14}\,b^{29}+8\,A^6\,B^2\,a^{12}\,b^{31}+40960\,A^5\,B^3\,a^{17}\,b^{26}-14336\,A^5\,B^3\,a^{15}\,b^{28}-384\,A^5\,B^3\,a^{13}\,b^{30}+32768\,A^4\,B^4\,a^{18}\,b^{25}+1024\,A^4\,B^4\,a^{16}\,b^{27}+5888\,A^4\,B^4\,a^{14}\,b^{29}+4\,A^4\,B^4\,a^{12}\,b^{31}+81920\,A^3\,B^5\,a^{17}\,b^{26}-30208\,A^3\,B^5\,a^{15}\,b^{28}-192\,A^3\,B^5\,a^{13}\,b^{30}+16384\,A^2\,B^6\,a^{18}\,b^{25}+38912\,A^2\,B^6\,a^{16}\,b^{27}+2944\,A^2\,B^6\,a^{14}\,b^{29}+40960\,A\,B^7\,a^{17}\,b^{26}-15360\,A\,B^7\,a^{15}\,b^{28}+25600\,B^8\,a^{16}\,b^{27}\right)}{d^8\,{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}\right)\,\sqrt{\frac{-A^2\,1{}\mathrm{i}+2\,A\,B+B^2\,1{}\mathrm{i}}{4\,\left(a\,d^2+b\,d^2\,1{}\mathrm{i}\right)}}\,2{}\mathrm{i}+\frac{4\,B\,\mathrm{atanh}\left(\frac{147573952589676412928\,B^9\,a^{20}\,b^{49/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{259407338536540569600\,B^9\,a^{18}\,b^{53/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{113997365567815680000\,B^9\,a^{16}\,b^{57/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}-\frac{73786976294838206464\,A\,B^8\,a^{19}\,b^{51/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}-\frac{64851834634135142400\,A\,B^8\,a^{17}\,b^{55/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{2251799813685248\,A^8\,B\,a^{16}\,b^{57/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{48422703193487572992\,A^2\,B^7\,a^{18}\,b^{53/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{1152921504606846976\,A^4\,B^5\,a^{18}\,b^{53/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}-\frac{9799832789158199296\,A^3\,B^6\,a^{17}\,b^{55/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}-\frac{288230376151711744\,A^5\,B^4\,a^{17}\,b^{55/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{34452537149384294400\,A^2\,B^7\,a^{16}\,b^{57/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{3616390500778508288\,A^4\,B^5\,a^{16}\,b^{57/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}+\frac{153122387330596864\,A^6\,B^3\,a^{16}\,b^{57/2}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}}{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)\,\left(2251799813685248\,A^8\,B\,a^{16}\,b^{28}+153122387330596864\,A^6\,B^3\,a^{16}\,b^{28}-288230376151711744\,A^5\,B^4\,a^{17}\,b^{27}+1152921504606846976\,A^4\,B^5\,a^{18}\,b^{26}+3616390500778508288\,A^4\,B^5\,a^{16}\,b^{28}-9799832789158199296\,A^3\,B^6\,a^{17}\,b^{27}+48422703193487572992\,A^2\,B^7\,a^{18}\,b^{26}+34452537149384294400\,A^2\,B^7\,a^{16}\,b^{28}-73786976294838206464\,A\,B^8\,a^{19}\,b^{25}-64851834634135142400\,A\,B^8\,a^{17}\,b^{27}+147573952589676412928\,B^9\,a^{20}\,b^{24}+259407338536540569600\,B^9\,a^{18}\,b^{26}+113997365567815680000\,B^9\,a^{16}\,b^{28}\right)}\right)}{\sqrt{b}\,d}","Not used",1,"atan(((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*1i - (((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*1i)/((549755813888*(4*A^8*a^12*b^30 + 5120*B^8*a^16*b^26 + 1536*A^2*B^6*a^14*b^28 + 7168*A^2*B^6*a^16*b^26 - 144*A^3*B^5*a^13*b^29 - 10496*A^3*B^5*a^15*b^27 + 8192*A^3*B^5*a^17*b^25 + 4*A^4*B^4*a^12*b^30 + 3072*A^4*B^4*a^14*b^28 - 1024*A^4*B^4*a^16*b^26 - 288*A^5*B^3*a^13*b^29 - 4864*A^5*B^3*a^15*b^27 + 4096*A^5*B^3*a^17*b^25 + 8*A^6*B^2*a^12*b^30 + 1536*A^6*B^2*a^14*b^28 - 3072*A^6*B^2*a^16*b^26 - 5376*A*B^7*a^15*b^27 + 4096*A*B^7*a^17*b^25 - 144*A^7*B*a^13*b^29 + 256*A^7*B*a^15*b^27))/d^8 + (((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) + (((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2) - (549755813888*tan(c + d*x)*(4*A^8*a^12*b^31 + 25600*B^8*a^16*b^27 + 2944*A^2*B^6*a^14*b^29 + 38912*A^2*B^6*a^16*b^27 + 16384*A^2*B^6*a^18*b^25 - 192*A^3*B^5*a^13*b^30 - 30208*A^3*B^5*a^15*b^28 + 81920*A^3*B^5*a^17*b^26 + 4*A^4*B^4*a^12*b^31 + 5888*A^4*B^4*a^14*b^29 + 1024*A^4*B^4*a^16*b^27 + 32768*A^4*B^4*a^18*b^25 - 384*A^5*B^3*a^13*b^30 - 14336*A^5*B^3*a^15*b^28 + 40960*A^5*B^3*a^17*b^26 + 8*A^6*B^2*a^12*b^31 + 2944*A^6*B^2*a^14*b^29 - 12288*A^6*B^2*a^16*b^27 + 16384*A^6*B^2*a^18*b^25 - 15360*A*B^7*a^15*b^28 + 40960*A*B^7*a^17*b^26 - 192*A^7*B*a^13*b^30 + 512*A^7*B*a^15*b^28))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))*((B^2 - A^2 + A*B*2i)/(4*(a*d^2*1i + b*d^2)))^(1/2)*2i + atan(((((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*1i - (((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*1i)/((549755813888*(4*A^8*a^12*b^30 + 5120*B^8*a^16*b^26 + 1536*A^2*B^6*a^14*b^28 + 7168*A^2*B^6*a^16*b^26 - 144*A^3*B^5*a^13*b^29 - 10496*A^3*B^5*a^15*b^27 + 8192*A^3*B^5*a^17*b^25 + 4*A^4*B^4*a^12*b^30 + 3072*A^4*B^4*a^14*b^28 - 1024*A^4*B^4*a^16*b^26 - 288*A^5*B^3*a^13*b^29 - 4864*A^5*B^3*a^15*b^27 + 4096*A^5*B^3*a^17*b^25 + 8*A^6*B^2*a^12*b^30 + 1536*A^6*B^2*a^14*b^28 - 3072*A^6*B^2*a^16*b^26 - 5376*A*B^7*a^15*b^27 + 4096*A*B^7*a^17*b^25 - 144*A^7*B*a^13*b^29 + 256*A^7*B*a^15*b^27))/d^8 + (((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*((((((274877906944*(1600*a^12*b^34*d^8 - 16640*a^14*b^32*d^8 + 22784*a^16*b^30*d^8 + 106496*a^18*b^28*d^8 + 65536*a^20*b^26*d^8))/d^8 - (274877906944*tan(c + d*x)*(1600*a^12*b^35*d^8 - 48000*a^14*b^33*d^8 + 155136*a^16*b^31*d^8 + 466944*a^18*b^29*d^8 + 262144*a^20*b^27*d^8))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(240*A*a^13*b^33*d^6 + 3064*A*a^15*b^31*d^6 + 8960*A*a^17*b^29*d^6 + 6144*A*a^19*b^27*d^6 + 6920*B*a^14*b^32*d^6 + 9472*B*a^16*b^30*d^6 - 5632*B*a^18*b^28*d^6 - 8192*B*a^20*b^26*d^6))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(19216*A^2*a^14*b^31*d^6 - 1440*A^2*a^12*b^33*d^6 - 22016*A^2*a^16*b^29*d^6 - 45056*A^2*a^18*b^27*d^6 + 1200*B^2*a^12*b^33*d^6 - 16640*B^2*a^14*b^31*d^6 + 279040*B^2*a^16*b^29*d^6 + 561152*B^2*a^18*b^27*d^6 + 262144*B^2*a^20*b^25*d^6 + 16480*A*B*a^13*b^32*d^6 - 25792*A*B*a^15*b^30*d^6 + 34816*A*B*a^17*b^28*d^6 + 81920*A*B*a^19*b^26*d^6))/d^8 + (274877906944*tan(c + d*x)*(46704*A^2*a^14*b^32*d^6 - 1440*A^2*a^12*b^34*d^6 - 137216*A^2*a^16*b^30*d^6 - 122880*A^2*a^18*b^28*d^6 + 65536*A^2*a^20*b^26*d^6 + 1200*B^2*a^12*b^34*d^6 - 52320*B^2*a^14*b^32*d^6 + 1200640*B^2*a^16*b^30*d^6 + 2306048*B^2*a^18*b^28*d^6 + 1048576*B^2*a^20*b^26*d^6 + 21600*A*B*a^13*b^33*d^6 - 121856*A*B*a^15*b^31*d^6 + 276480*A*B*a^17*b^29*d^6 + 425984*A*B*a^19*b^27*d^6))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (2199023255552*tan(c + d*x)^(1/2)*(168*A^3*a^13*b^32*d^4 + 1200*A^3*a^15*b^30*d^4 + 2816*A^3*a^17*b^28*d^4 - 4770*B^3*a^14*b^31*d^4 + 17920*B^3*a^16*b^29*d^4 + 57344*B^3*a^18*b^27*d^4 + 32768*B^3*a^20*b^25*d^4 + 180*A*B^2*a^13*b^32*d^4 - 26736*A*B^2*a^15*b^30*d^4 - 48896*A*B^2*a^17*b^28*d^4 - 16384*A*B^2*a^19*b^26*d^4 + 4746*A^2*B*a^14*b^31*d^4 - 2048*A^2*B*a^16*b^29*d^4 - 12288*A^2*B*a^18*b^27*d^4))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) + (274877906944*(484*A^4*a^12*b^32*d^4 - 6448*A^4*a^14*b^30*d^4 + 8704*A^4*a^16*b^28*d^4 + 4096*A^4*a^18*b^26*d^4 + 300*B^4*a^12*b^32*d^4 - 5040*B^4*a^14*b^30*d^4 + 217600*B^4*a^16*b^28*d^4 + 217088*B^4*a^18*b^26*d^4 + 7720*A*B^3*a^13*b^31*d^4 - 104960*A*B^3*a^15*b^29*d^4 + 253952*A*B^3*a^17*b^27*d^4 + 327680*A*B^3*a^19*b^25*d^4 - 10392*A^3*B*a^13*b^31*d^4 + 23808*A^3*B*a^15*b^29*d^4 - 16384*A^3*B*a^17*b^27*d^4 - 320*A^2*B^2*a^12*b^32*d^4 + 46496*A^2*B^2*a^14*b^30*d^4 - 181248*A^2*B^2*a^16*b^28*d^4 - 155648*A^2*B^2*a^18*b^26*d^4))/d^8 - (274877906944*tan(c + d*x)*(484*A^4*a^12*b^33*d^4 - 14304*A^4*a^14*b^31*d^4 + 41472*A^4*a^16*b^29*d^4 - 16384*A^4*a^18*b^27*d^4 + 300*B^4*a^12*b^33*d^4 - 17120*B^4*a^14*b^31*d^4 + 985600*B^4*a^16*b^29*d^4 + 950272*B^4*a^18*b^27*d^4 + 10520*A*B^3*a^13*b^32*d^4 - 320000*A*B^3*a^15*b^30*d^4 + 1617920*A*B^3*a^17*b^28*d^4 + 1703936*A*B^3*a^19*b^26*d^4 - 13704*A^3*B*a^13*b^32*d^4 + 73728*A^3*B*a^15*b^30*d^4 - 131072*A^3*B*a^17*b^28*d^4 + 65536*A^3*B*a^19*b^26*d^4 - 320*A^2*B^2*a^12*b^33*d^4 + 86144*A^2*B^2*a^14*b^31*d^4 - 807936*A^2*B^2*a^16*b^29*d^4 - 229376*A^2*B^2*a^18*b^27*d^4 + 262144*A^2*B^2*a^20*b^25*d^4))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) - (2199023255552*tan(c + d*x)^(1/2)*(10080*B^5*a^16*b^28*d^2 - 48*A^5*a^15*b^29*d^2 - 384*A^5*a^17*b^27*d^2 - 1080*B^5*a^14*b^30*d^2 - 39*A^5*a^13*b^31*d^2 + 16896*B^5*a^18*b^26*d^2 + 120*A*B^4*a^13*b^31*d^2 - 10800*A*B^4*a^15*b^29*d^2 + 7808*A*B^4*a^17*b^27*d^2 + 32768*A*B^4*a^19*b^25*d^2 - 1152*A^4*B*a^14*b^30*d^2 + 608*A^4*B*a^16*b^28*d^2 + 512*A^4*B*a^18*b^26*d^2 + 824*A^2*B^3*a^14*b^30*d^2 - 30272*A^2*B^3*a^16*b^28*d^2 - 39936*A^2*B^3*a^18*b^26*d^2 - 159*A^3*B^2*a^13*b^31*d^2 + 10400*A^3*B^2*a^15*b^29*d^2 + 9472*A^3*B^2*a^17*b^27*d^2))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (274877906944*(672*A^6*a^14*b^29*d^2 - 72*A^6*a^12*b^31*d^2 - 768*A^6*a^16*b^27*d^2 + 25*B^6*a^12*b^31*d^2 - 480*B^6*a^14*b^29*d^2 + 57600*B^6*a^16*b^27*d^2 + 16384*B^6*a^18*b^25*d^2 + 900*A*B^5*a^13*b^30*d^2 - 44416*A*B^5*a^15*b^28*d^2 + 115712*A*B^5*a^17*b^26*d^2 + 2148*A^5*B*a^13*b^30*d^2 - 3456*A^5*B*a^15*b^28*d^2 + 1024*A^5*B*a^17*b^26*d^2 + 10*A^2*B^4*a^12*b^31*d^2 + 12000*A^2*B^4*a^14*b^29*d^2 - 119040*A^2*B^4*a^16*b^27*d^2 + 98304*A^2*B^4*a^18*b^25*d^2 + 744*A^3*B^3*a^13*b^30*d^2 + 66816*A^3*B^3*a^15*b^28*d^2 - 79872*A^3*B^3*a^17*b^26*d^2 - 23*A^4*B^2*a^12*b^31*d^2 - 13728*A^4*B^2*a^14*b^29*d^2 + 43776*A^4*B^2*a^16*b^27*d^2 + 16384*A^4*B^2*a^18*b^25*d^2))/d^8 + (274877906944*tan(c + d*x)*(1408*A^6*a^14*b^30*d^2 - 72*A^6*a^12*b^32*d^2 - 3584*A^6*a^16*b^28*d^2 + 4096*A^6*a^18*b^26*d^2 + 25*B^6*a^12*b^32*d^2 - 1760*B^6*a^14*b^30*d^2 + 275200*B^6*a^16*b^28*d^2 + 65536*B^6*a^18*b^26*d^2 + 1280*A*B^5*a^13*b^31*d^2 - 128640*A*B^5*a^15*b^29*d^2 + 747520*A*B^5*a^17*b^27*d^2 + 2848*A^5*B*a^13*b^31*d^2 - 9856*A^5*B*a^15*b^29*d^2 + 10240*A^5*B*a^17*b^27*d^2 + 10*A^2*B^4*a^12*b^32*d^2 + 21440*A^2*B^4*a^14*b^30*d^2 - 411648*A^2*B^4*a^16*b^28*d^2 + 921600*A^2*B^4*a^18*b^26*d^2 + 928*A^3*B^3*a^13*b^31*d^2 + 162560*A^3*B^3*a^15*b^29*d^2 - 503808*A^3*B^3*a^17*b^27*d^2 + 262144*A^3*B^3*a^19*b^25*d^2 - 23*A^4*B^2*a^12*b^32*d^2 - 25568*A^4*B^2*a^14*b^30*d^2 + 169728*A^4*B^2*a^16*b^28*d^2 - 57344*A^4*B^2*a^18*b^26*d^2))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)) + (2199023255552*tan(c + d*x)^(1/2)*(3*A^7*a^13*b^30 - 16*A^7*a^15*b^28 - 80*B^7*a^14*b^29 + 1280*B^7*a^16*b^27 + 2048*B^7*a^18*b^25 - 64*A^2*B^5*a^14*b^29 + 2432*A^2*B^5*a^16*b^27 + 4096*A^2*B^5*a^18*b^25 + 37*A^3*B^4*a^13*b^30 - 2352*A^3*B^4*a^15*b^28 - 3072*A^3*B^4*a^17*b^26 + 112*A^4*B^3*a^14*b^29 + 1024*A^4*B^3*a^16*b^27 + 2048*A^4*B^3*a^18*b^25 + 25*A^5*B^2*a^13*b^30 - 1200*A^5*B^2*a^15*b^28 - 1536*A^5*B^2*a^17*b^26 + 15*A*B^6*a^13*b^30 - 1168*A*B^6*a^15*b^28 - 1536*A*B^6*a^17*b^26 + 96*A^6*B*a^14*b^29 - 128*A^6*B*a^16*b^27))/(d^7*((a + b*tan(c + d*x))^(1/2) - a^(1/2))))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2) - (549755813888*tan(c + d*x)*(4*A^8*a^12*b^31 + 25600*B^8*a^16*b^27 + 2944*A^2*B^6*a^14*b^29 + 38912*A^2*B^6*a^16*b^27 + 16384*A^2*B^6*a^18*b^25 - 192*A^3*B^5*a^13*b^30 - 30208*A^3*B^5*a^15*b^28 + 81920*A^3*B^5*a^17*b^26 + 4*A^4*B^4*a^12*b^31 + 5888*A^4*B^4*a^14*b^29 + 1024*A^4*B^4*a^16*b^27 + 32768*A^4*B^4*a^18*b^25 - 384*A^5*B^3*a^13*b^30 - 14336*A^5*B^3*a^15*b^28 + 40960*A^5*B^3*a^17*b^26 + 8*A^6*B^2*a^12*b^31 + 2944*A^6*B^2*a^14*b^29 - 12288*A^6*B^2*a^16*b^27 + 16384*A^6*B^2*a^18*b^25 - 15360*A*B^7*a^15*b^28 + 40960*A*B^7*a^17*b^26 - 192*A^7*B*a^13*b^30 + 512*A^7*B*a^15*b^28))/(d^8*((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2)))*((B^2*1i - A^2*1i + 2*A*B)/(4*(a*d^2 + b*d^2*1i)))^(1/2)*2i + (4*B*atanh((147573952589676412928*B^9*a^20*b^(49/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (259407338536540569600*B^9*a^18*b^(53/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (113997365567815680000*B^9*a^16*b^(57/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) - (73786976294838206464*A*B^8*a^19*b^(51/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) - (64851834634135142400*A*B^8*a^17*b^(55/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (2251799813685248*A^8*B*a^16*b^(57/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (48422703193487572992*A^2*B^7*a^18*b^(53/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (1152921504606846976*A^4*B^5*a^18*b^(53/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) - (9799832789158199296*A^3*B^6*a^17*b^(55/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) - (288230376151711744*A^5*B^4*a^17*b^(55/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (34452537149384294400*A^2*B^7*a^16*b^(57/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (3616390500778508288*A^4*B^5*a^16*b^(57/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28)) + (153122387330596864*A^6*B^3*a^16*b^(57/2)*tan(c + d*x)^(1/2))/(((a + b*tan(c + d*x))^(1/2) - a^(1/2))*(113997365567815680000*B^9*a^16*b^28 + 259407338536540569600*B^9*a^18*b^26 + 147573952589676412928*B^9*a^20*b^24 + 34452537149384294400*A^2*B^7*a^16*b^28 + 48422703193487572992*A^2*B^7*a^18*b^26 - 9799832789158199296*A^3*B^6*a^17*b^27 + 3616390500778508288*A^4*B^5*a^16*b^28 + 1152921504606846976*A^4*B^5*a^18*b^26 - 288230376151711744*A^5*B^4*a^17*b^27 + 153122387330596864*A^6*B^3*a^16*b^28 - 64851834634135142400*A*B^8*a^17*b^27 - 73786976294838206464*A*B^8*a^19*b^25 + 2251799813685248*A^8*B*a^16*b^28))))/(b^(1/2)*d)","B"
454,1,8223,123,54.395990,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)),x)","-\mathrm{atan}\left(\frac{\frac{B^5\,b^9\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,1280{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,b^{10}\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,10240{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,b^{11}\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,20480{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^{10}\,b\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,196608{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^8\,b\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,12288{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^2\,b^9\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,274432{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^4\,b^7\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,897024{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^6\,b^5\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1249280{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^8\,b^3\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,802816{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^2\,b^7\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,16128{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^4\,b^5\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,40704{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^6\,b^3\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,38144{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^2\,b^8\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,129024{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^4\,b^6\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,325632{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^6\,b^4\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,305152{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^8\,b^2\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,98304{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}}{64\,a^5\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}+49\,a\,b^4\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}+112\,a^3\,b^2\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}+192\,B^6\,a^3\,b^5\,d^6-64\,B^6\,a^5\,b^3\,d^6+1024\,B^4\,a^7\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}-\frac{119\,a\,b^5\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{128\,a^5\,b\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+736\,B^4\,a^3\,b^4\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}+1792\,B^4\,a^5\,b^2\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}-\frac{248\,a^3\,b^3\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+16\,B^4\,a\,b^6\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}+\frac{192\,B^6\,a^3\,b^6\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{64\,B^6\,a^5\,b^4\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\frac{16\,B^4\,a\,b^7\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{2048\,B^4\,a^7\,b\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{1952\,B^4\,a^3\,b^5\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{3968\,B^4\,a^5\,b^3\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}\right)\,\sqrt{\frac{\sqrt{-16\,B^4\,a^2\,d^4}-4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\frac{B^5\,b^9\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,1280{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,b^{10}\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,10240{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,b^{11}\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,20480{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^{10}\,b\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,196608{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^8\,b\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,12288{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^2\,b^9\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,274432{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^4\,b^7\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,897024{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^6\,b^5\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1249280{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B\,a^8\,b^3\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,802816{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^2\,b^7\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,16128{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^4\,b^5\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,40704{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^5\,a^6\,b^3\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,38144{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^2\,b^8\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,129024{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^4\,b^6\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,325632{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^6\,b^4\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,305152{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{B^3\,a^8\,b^2\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,98304{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}}{64\,a^5\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}+49\,a\,b^4\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}+112\,a^3\,b^2\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}-192\,B^6\,a^3\,b^5\,d^6+64\,B^6\,a^5\,b^3\,d^6+1024\,B^4\,a^7\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}-\frac{119\,a\,b^5\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{128\,a^5\,b\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+736\,B^4\,a^3\,b^4\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}+1792\,B^4\,a^5\,b^2\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}-\frac{248\,a^3\,b^3\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,B^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+16\,B^4\,a\,b^6\,d^4\,\sqrt{-16\,B^4\,a^2\,d^4}-\frac{192\,B^6\,a^3\,b^6\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\frac{64\,B^6\,a^5\,b^4\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\frac{16\,B^4\,a\,b^7\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{2048\,B^4\,a^7\,b\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{1952\,B^4\,a^3\,b^5\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{3968\,B^4\,a^5\,b^3\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,B^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}\right)\,\sqrt{-\frac{\sqrt{-16\,B^4\,a^2\,d^4}+4\,B^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,2{}\mathrm{i}-\mathrm{atan}\left(\frac{\frac{A^5\,a^8\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,16384{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,b^8\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,3072{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,b^9\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,25600{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^{10}\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,262144{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,b^{10}\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,53248{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^8\,b\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,131072{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^2\,b^8\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,471040{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^4\,b^6\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1355776{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^6\,b^4\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1773568{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^8\,b^2\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1097728{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,a^2\,b^6\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,25600{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,a^4\,b^4\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,58368{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,a^6\,b^2\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,52224{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^2\,b^7\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,207872{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^4\,b^5\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,470016{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^6\,b^3\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,418816{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}}{64\,a^4\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}+49\,b^4\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}+112\,a^2\,b^2\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}-192\,A^6\,a^2\,b^5\,d^6+64\,A^6\,a^4\,b^3\,d^6+1024\,A^4\,a^6\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}+16\,A^4\,b^6\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}-\frac{119\,b^5\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{128\,a^4\,b\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+736\,A^4\,a^2\,b^4\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}+1792\,A^4\,a^4\,b^2\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}-\frac{248\,a^2\,b^3\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\frac{16\,A^4\,b^7\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{192\,A^6\,a^2\,b^6\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\frac{64\,A^6\,a^4\,b^4\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{2048\,A^4\,a^6\,b\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{1952\,A^4\,a^2\,b^5\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{3968\,A^4\,a^4\,b^3\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}\right)\,\sqrt{\frac{\sqrt{-16\,A^4\,a^2\,d^4}+4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,2{}\mathrm{i}+\mathrm{atan}\left(\frac{\frac{A^5\,a^8\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,16384{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,b^8\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,3072{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,b^9\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,25600{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^{10}\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,262144{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,b^{10}\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,53248{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^8\,b\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,131072{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^2\,b^8\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,471040{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^4\,b^6\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1355776{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^6\,b^4\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1773568{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A\,a^8\,b^2\,d^{11}\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{5/2}\,1097728{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,a^2\,b^6\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,25600{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,a^4\,b^4\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,58368{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}+\frac{A^5\,a^6\,b^2\,d^7\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,52224{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^2\,b^7\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,207872{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^4\,b^5\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,470016{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}-\frac{A^3\,a^6\,b^3\,d^9\,\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,{\left(-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}\right)}^{3/2}\,418816{}\mathrm{i}}{\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}}}{64\,a^4\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}+49\,b^4\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}+112\,a^2\,b^2\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}+192\,A^6\,a^2\,b^5\,d^6-64\,A^6\,a^4\,b^3\,d^6+1024\,A^4\,a^6\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}+16\,A^4\,b^6\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}-\frac{119\,b^5\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{128\,a^4\,b\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+736\,A^4\,a^2\,b^4\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}+1792\,A^4\,a^4\,b^2\,d^4\,\sqrt{-16\,A^4\,a^2\,d^4}-\frac{248\,a^2\,b^3\,\mathrm{tan}\left(c+d\,x\right)\,{\left(-16\,A^4\,a^2\,d^4\right)}^{3/2}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\frac{16\,A^4\,b^7\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}+\frac{192\,A^6\,a^2\,b^6\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{64\,A^6\,a^4\,b^4\,d^6\,\mathrm{tan}\left(c+d\,x\right)}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{2048\,A^4\,a^6\,b\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{1952\,A^4\,a^2\,b^5\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}-\frac{3968\,A^4\,a^4\,b^3\,d^4\,\mathrm{tan}\left(c+d\,x\right)\,\sqrt{-16\,A^4\,a^2\,d^4}}{{\left(\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}-\sqrt{a}\right)}^2}}\right)\,\sqrt{-\frac{\sqrt{-16\,A^4\,a^2\,d^4}-4\,A^2\,b\,d^2}{16\,a^2\,d^4+16\,b^2\,d^4}}\,2{}\mathrm{i}","Not used",1,"atan(((B^5*b^9*d^7*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*1280i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*b^10*d^9*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*10240i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*b^11*d^11*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*20480i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^10*b*d^11*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*196608i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^8*b*d^7*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*12288i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^2*b^9*d^11*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*274432i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^4*b^7*d^11*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*897024i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^6*b^5*d^11*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1249280i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^8*b^3*d^11*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*802816i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^2*b^7*d^7*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*16128i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^4*b^5*d^7*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*40704i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^6*b^3*d^7*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*38144i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^2*b^8*d^9*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*129024i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^4*b^6*d^9*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*325632i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^6*b^4*d^9*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*305152i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^8*b^2*d^9*tan(c + d*x)^(1/2)*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*98304i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)))/(64*a^5*(-16*B^4*a^2*d^4)^(3/2) + 49*a*b^4*(-16*B^4*a^2*d^4)^(3/2) + 112*a^3*b^2*(-16*B^4*a^2*d^4)^(3/2) - 192*B^6*a^3*b^5*d^6 + 64*B^6*a^5*b^3*d^6 + 1024*B^4*a^7*d^4*(-16*B^4*a^2*d^4)^(1/2) - (119*a*b^5*tan(c + d*x)*(-16*B^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (128*a^5*b*tan(c + d*x)*(-16*B^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + 736*B^4*a^3*b^4*d^4*(-16*B^4*a^2*d^4)^(1/2) + 1792*B^4*a^5*b^2*d^4*(-16*B^4*a^2*d^4)^(1/2) - (248*a^3*b^3*tan(c + d*x)*(-16*B^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + 16*B^4*a*b^6*d^4*(-16*B^4*a^2*d^4)^(1/2) - (192*B^6*a^3*b^6*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + (64*B^6*a^5*b^4*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + (16*B^4*a*b^7*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (2048*B^4*a^7*b*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (1952*B^4*a^3*b^5*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (3968*B^4*a^5*b^3*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*(-((-16*B^4*a^2*d^4)^(1/2) + 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*2i - atan(((B^5*b^9*d^7*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*1280i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*b^10*d^9*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*10240i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*b^11*d^11*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*20480i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^10*b*d^11*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*196608i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^8*b*d^7*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*12288i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^2*b^9*d^11*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*274432i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^4*b^7*d^11*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*897024i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^6*b^5*d^11*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1249280i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B*a^8*b^3*d^11*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*802816i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^2*b^7*d^7*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*16128i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^4*b^5*d^7*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*40704i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^5*a^6*b^3*d^7*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*38144i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^2*b^8*d^9*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*129024i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^4*b^6*d^9*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*325632i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^6*b^4*d^9*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*305152i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (B^3*a^8*b^2*d^9*tan(c + d*x)^(1/2)*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*98304i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)))/(64*a^5*(-16*B^4*a^2*d^4)^(3/2) + 49*a*b^4*(-16*B^4*a^2*d^4)^(3/2) + 112*a^3*b^2*(-16*B^4*a^2*d^4)^(3/2) + 192*B^6*a^3*b^5*d^6 - 64*B^6*a^5*b^3*d^6 + 1024*B^4*a^7*d^4*(-16*B^4*a^2*d^4)^(1/2) - (119*a*b^5*tan(c + d*x)*(-16*B^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (128*a^5*b*tan(c + d*x)*(-16*B^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + 736*B^4*a^3*b^4*d^4*(-16*B^4*a^2*d^4)^(1/2) + 1792*B^4*a^5*b^2*d^4*(-16*B^4*a^2*d^4)^(1/2) - (248*a^3*b^3*tan(c + d*x)*(-16*B^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + 16*B^4*a*b^6*d^4*(-16*B^4*a^2*d^4)^(1/2) + (192*B^6*a^3*b^6*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (64*B^6*a^5*b^4*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + (16*B^4*a*b^7*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (2048*B^4*a^7*b*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (1952*B^4*a^3*b^5*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (3968*B^4*a^5*b^3*d^4*tan(c + d*x)*(-16*B^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*(((-16*B^4*a^2*d^4)^(1/2) - 4*B^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*2i - atan(((A^5*a^8*d^7*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*16384i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*b^8*d^7*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*3072i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*b^9*d^9*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*25600i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^10*d^11*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*262144i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*b^10*d^11*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*53248i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^8*b*d^9*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*131072i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^2*b^8*d^11*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*471040i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^4*b^6*d^11*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1355776i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^6*b^4*d^11*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1773568i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^8*b^2*d^11*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1097728i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*a^2*b^6*d^7*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*25600i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*a^4*b^4*d^7*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*58368i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*a^6*b^2*d^7*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*52224i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^2*b^7*d^9*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*207872i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^4*b^5*d^9*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*470016i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^6*b^3*d^9*tan(c + d*x)^(1/2)*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*418816i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)))/(64*a^4*(-16*A^4*a^2*d^4)^(3/2) + 49*b^4*(-16*A^4*a^2*d^4)^(3/2) + 112*a^2*b^2*(-16*A^4*a^2*d^4)^(3/2) - 192*A^6*a^2*b^5*d^6 + 64*A^6*a^4*b^3*d^6 + 1024*A^4*a^6*d^4*(-16*A^4*a^2*d^4)^(1/2) + 16*A^4*b^6*d^4*(-16*A^4*a^2*d^4)^(1/2) - (119*b^5*tan(c + d*x)*(-16*A^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (128*a^4*b*tan(c + d*x)*(-16*A^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + 736*A^4*a^2*b^4*d^4*(-16*A^4*a^2*d^4)^(1/2) + 1792*A^4*a^4*b^2*d^4*(-16*A^4*a^2*d^4)^(1/2) - (248*a^2*b^3*tan(c + d*x)*(-16*A^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + (16*A^4*b^7*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (192*A^6*a^2*b^6*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + (64*A^6*a^4*b^4*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (2048*A^4*a^6*b*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (1952*A^4*a^2*b^5*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (3968*A^4*a^4*b^3*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*(((-16*A^4*a^2*d^4)^(1/2) + 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*2i + atan(((A^5*a^8*d^7*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*16384i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*b^8*d^7*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*3072i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*b^9*d^9*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*25600i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^10*d^11*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*262144i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*b^10*d^11*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*53248i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^8*b*d^9*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*131072i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^2*b^8*d^11*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*471040i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^4*b^6*d^11*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1355776i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^6*b^4*d^11*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1773568i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A*a^8*b^2*d^11*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(5/2)*1097728i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*a^2*b^6*d^7*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*25600i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*a^4*b^4*d^7*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*58368i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) + (A^5*a^6*b^2*d^7*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*52224i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^2*b^7*d^9*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*207872i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^4*b^5*d^9*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*470016i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)) - (A^3*a^6*b^3*d^9*tan(c + d*x)^(1/2)*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(3/2)*418816i)/((a + b*tan(c + d*x))^(1/2) - a^(1/2)))/(64*a^4*(-16*A^4*a^2*d^4)^(3/2) + 49*b^4*(-16*A^4*a^2*d^4)^(3/2) + 112*a^2*b^2*(-16*A^4*a^2*d^4)^(3/2) + 192*A^6*a^2*b^5*d^6 - 64*A^6*a^4*b^3*d^6 + 1024*A^4*a^6*d^4*(-16*A^4*a^2*d^4)^(1/2) + 16*A^4*b^6*d^4*(-16*A^4*a^2*d^4)^(1/2) - (119*b^5*tan(c + d*x)*(-16*A^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (128*a^4*b*tan(c + d*x)*(-16*A^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + 736*A^4*a^2*b^4*d^4*(-16*A^4*a^2*d^4)^(1/2) + 1792*A^4*a^4*b^2*d^4*(-16*A^4*a^2*d^4)^(1/2) - (248*a^2*b^3*tan(c + d*x)*(-16*A^4*a^2*d^4)^(3/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + (16*A^4*b^7*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 + (192*A^6*a^2*b^6*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (64*A^6*a^4*b^4*d^6*tan(c + d*x))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (2048*A^4*a^6*b*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (1952*A^4*a^2*b^5*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2 - (3968*A^4*a^4*b^3*d^4*tan(c + d*x)*(-16*A^4*a^2*d^4)^(1/2))/((a + b*tan(c + d*x))^(1/2) - a^(1/2))^2))*(-((-16*A^4*a^2*d^4)^(1/2) - 4*A^2*b*d^2)/(16*a^2*d^4 + 16*b^2*d^4))^(1/2)*2i","B"
455,0,-1,159,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
456,0,-1,203,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
457,0,-1,256,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(7/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
458,0,-1,219,0.000000,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(3/2), x)","F"
459,0,-1,170,0.000000,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(3/2), x)","F"
460,0,-1,175,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
461,-1,-1,216,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
462,0,-1,276,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
463,0,-1,282,0.000000,"\text{Not used}","int((tan(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(5/2), x)","F"
464,0,-1,244,0.000000,"\text{Not used}","int((tan(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(5/2), x)","F"
465,0,-1,244,0.000000,"\text{Not used}","int((tan(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(5/2), x)","F"
466,0,-1,247,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
467,0,-1,301,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
468,0,-1,359,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(tan(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
469,0,-1,155,0.000000,"\text{Not used}","int((tan(c + d*x)^(3/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^{3/2}\,\left(B\,a+B\,b\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\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)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2), x)","F"
470,0,-1,117,0.000000,"\text{Not used}","int((tan(c + d*x)^(1/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{\sqrt{\mathrm{tan}\left(c+d\,x\right)}\,\left(B\,a+B\,b\,\mathrm{tan}\left(c+d\,x\right)\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)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2), x)","F"
471,0,-1,111,0.000000,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{B\,a+B\,b\,\mathrm{tan}\left(c+d\,x\right)}{\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((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
472,0,-1,150,0.000000,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{B\,a+B\,b\,\mathrm{tan}\left(c+d\,x\right)}{{\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((B*a + B*b*tan(c + d*x))/(tan(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
473,1,3945,379,21.866697,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(2/3),x)","\ln\left(\frac{{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(\frac{{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{1/3}\,\left(1944\,a\,b^4\,{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)-\frac{1944\,B^2\,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)}{2}+\frac{972\,B^3\,a\,b^4\,\left(-a^4+2\,a^2\,b^2+3\,b^4\right)}{d^3}\right)}{4}+\frac{243\,B^5\,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^5}\right)\,{\left(\frac{\sqrt{-4\,B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{8\,d^6}\right)}^{1/3}+\ln\left(\frac{{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(\frac{{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{1/3}\,\left(1944\,a\,b^4\,{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)-\frac{1944\,B^2\,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)}{2}+\frac{972\,B^3\,a\,b^4\,\left(-a^4+2\,a^2\,b^2+3\,b^4\right)}{d^3}\right)}{4}+\frac{243\,B^5\,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^5}\right)\,{\left(-\frac{\sqrt{-4\,B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{8\,d^6}\right)}^{1/3}+\ln\left(\frac{{\left(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(\frac{\left(1944\,a\,b^4\,{\left(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)+\frac{1944\,A^2\,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{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{1/3}}{2}+\frac{972\,A^3\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)}{4}+\frac{486\,A^5\,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{\sqrt{-A^6\,a^4\,d^6+2\,A^6\,a^2\,b^2\,d^6-A^6\,b^4\,d^6}}{8\,d^6}-\frac{A^3\,a\,b}{4\,d^3}\right)}^{1/3}+\ln\left(\frac{{\left(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(\frac{\left(1944\,a\,b^4\,{\left(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)+\frac{1944\,A^2\,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{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{1/3}}{2}+\frac{972\,A^3\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)}{4}+\frac{486\,A^5\,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{\sqrt{-A^6\,a^4\,d^6+2\,A^6\,a^2\,b^2\,d^6-A^6\,b^4\,d^6}}{8\,d^6}-\frac{A^3\,a\,b}{4\,d^3}\right)}^{1/3}+\frac{\ln\left(\frac{243\,B^5\,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^5}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,B^2\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-486\,a\,b^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{972\,B^3\,a\,b^4\,\left(-a^4+2\,a^2\,b^2+3\,b^4\right)}{d^3}\right)\,{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{2/3}}{16}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-4\,B^6\,a^2\,b^2\,d^6}}{8\,d^6}+\frac{B^3\,a^2}{8\,d^3}-\frac{B^3\,b^2}{8\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,B^2\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-486\,a\,b^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{1/3}}{4}+\frac{972\,B^3\,a\,b^4\,\left(-a^4+2\,a^2\,b^2+3\,b^4\right)}{d^3}\right)\,{\left(\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}+B^3\,a^2\,d^3-B^3\,b^2\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{243\,B^5\,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^5}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-4\,B^6\,a^2\,b^2\,d^6}}{8\,d^6}+\frac{B^3\,a^2}{8\,d^3}-\frac{B^3\,b^2}{8\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{243\,B^5\,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^5}-\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,B^2\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-486\,a\,b^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{972\,B^3\,a\,b^4\,\left(-a^4+2\,a^2\,b^2+3\,b^4\right)}{d^3}\right)\,{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{2/3}}{16}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{B^3\,a^2}{8\,d^3}-\frac{\sqrt{-4\,B^6\,a^2\,b^2\,d^6}}{8\,d^6}-\frac{B^3\,b^2}{8\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,B^2\,b^4\,{\left(a^2+b^2\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}-486\,a\,b^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{1/3}}{4}+\frac{972\,B^3\,a\,b^4\,\left(-a^4+2\,a^2\,b^2+3\,b^4\right)}{d^3}\right)\,{\left(-\frac{2\,\sqrt{-B^6\,a^2\,b^2\,d^6}-B^3\,a^2\,d^3+B^3\,b^2\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{243\,B^5\,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^5}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{B^3\,a^2}{8\,d^3}-\frac{\sqrt{-4\,B^6\,a^2\,b^2\,d^6}}{8\,d^6}-\frac{B^3\,b^2}{8\,d^3}\right)}^{1/3}}{2}-\ln\left(\frac{486\,A^5\,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{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,A^2\,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(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{1/3}}{2}-\frac{972\,A^3\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{4\,A^6\,a^2\,b^2\,d^6-d^6\,\left(A^6\,a^4+2\,A^6\,a^2\,b^2+A^6\,b^4\right)}-2\,A^3\,a\,b\,d^3}{8\,d^6}\right)}^{1/3}+\ln\left(\frac{486\,A^5\,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{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,A^2\,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(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{1/3}}{2}+\frac{972\,A^3\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{4\,A^6\,a^2\,b^2\,d^6-d^6\,\left(A^6\,a^4+2\,A^6\,a^2\,b^2+A^6\,b^4\right)}-2\,A^3\,a\,b\,d^3}{8\,d^6}\right)}^{1/3}-\ln\left(\frac{486\,A^5\,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{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,A^2\,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(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{1/3}}{2}-\frac{972\,A^3\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{4\,A^6\,a^2\,b^2\,d^6-d^6\,\left(A^6\,a^4+2\,A^6\,a^2\,b^2+A^6\,b^4\right)}+2\,A^3\,a\,b\,d^3}{8\,d^6}\right)}^{1/3}+\ln\left(\frac{486\,A^5\,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{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1944\,A^2\,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(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}\,\left(a^2+b^2\right)\right)\,{\left(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{1/3}}{2}+\frac{972\,A^3\,b^5\,\left(3\,a^4+2\,a^2\,b^2-b^4\right)}{d^3}\right)\,{\left(-\frac{\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+2\,A^3\,a\,b\,d^3}{d^6}\right)}^{2/3}}{4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{4\,A^6\,a^2\,b^2\,d^6-d^6\,\left(A^6\,a^4+2\,A^6\,a^2\,b^2+A^6\,b^4\right)}+2\,A^3\,a\,b\,d^3}{8\,d^6}\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((((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(2/3)*((((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(1/3)*(1944*a*b^4*((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(2/3)*(a^2 + b^2) - (1944*B^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2))/2 + (972*B^3*a*b^4*(3*b^4 - a^4 + 2*a^2*b^2))/d^3))/4 + (243*B^5*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*(((-4*B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/(8*d^6))^(1/3) + log(((-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(2/3)*(((-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(1/3)*(1944*a*b^4*(-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(2/3)*(a^2 + b^2) - (1944*B^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2))/2 + (972*B^3*a*b^4*(3*b^4 - a^4 + 2*a^2*b^2))/d^3))/4 + (243*B^5*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*(-((-4*B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/(8*d^6))^(1/3) + log(((((-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(2/3)*(((1944*a*b^4*(((-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(2/3)*(a^2 + b^2) + (1944*A^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2)*(((-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(1/3))/2 + (972*A^3*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3))/4 + (486*A^5*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*((2*A^6*a^2*b^2*d^6 - A^6*b^4*d^6 - A^6*a^4*d^6)^(1/2)/(8*d^6) - (A^3*a*b)/(4*d^3))^(1/3) + log(((-((-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(2/3)*(((1944*a*b^4*(-((-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(2/3)*(a^2 + b^2) + (1944*A^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2)*(-((-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(1/3))/2 + (972*A^3*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3))/4 + (486*A^5*a*b^5*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*(- (2*A^6*a^2*b^2*d^6 - A^6*b^4*d^6 - A^6*a^4*d^6)^(1/2)/(8*d^6) - (A^3*a*b)/(4*d^3))^(1/3) + (log((243*B^5*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5 - ((3^(1/2)*1i - 1)^2*(((3^(1/2)*1i - 1)*((1944*B^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 486*a*b^4*(3^(1/2)*1i - 1)^2*((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(2/3)*(a^2 + b^2))*((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(1/3))/4 - (972*B^3*a*b^4*(3*b^4 - a^4 + 2*a^2*b^2))/d^3)*((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(2/3))/16)*(3^(1/2)*1i - 1)*((-4*B^6*a^2*b^2*d^6)^(1/2)/(8*d^6) + (B^3*a^2)/(8*d^3) - (B^3*b^2)/(8*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(((3^(1/2)*1i + 1)*((1944*B^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 486*a*b^4*(3^(1/2)*1i + 1)^2*((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(2/3)*(a^2 + b^2))*((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(1/3))/4 + (972*B^3*a*b^4*(3*b^4 - a^4 + 2*a^2*b^2))/d^3)*((2*(-B^6*a^2*b^2*d^6)^(1/2) + B^3*a^2*d^3 - B^3*b^2*d^3)/d^6)^(2/3))/16 + (243*B^5*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*(3^(1/2)*1i + 1)*((-4*B^6*a^2*b^2*d^6)^(1/2)/(8*d^6) + (B^3*a^2)/(8*d^3) - (B^3*b^2)/(8*d^3))^(1/3))/2 + (log((243*B^5*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5 - ((3^(1/2)*1i - 1)^2*(((3^(1/2)*1i - 1)*((1944*B^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 486*a*b^4*(3^(1/2)*1i - 1)^2*(-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(2/3)*(a^2 + b^2))*(-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(1/3))/4 - (972*B^3*a*b^4*(3*b^4 - a^4 + 2*a^2*b^2))/d^3)*(-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(2/3))/16)*(3^(1/2)*1i - 1)*((B^3*a^2)/(8*d^3) - (-4*B^6*a^2*b^2*d^6)^(1/2)/(8*d^6) - (B^3*b^2)/(8*d^3))^(1/3))/2 - (log(((3^(1/2)*1i + 1)^2*(((3^(1/2)*1i + 1)*((1944*B^2*b^4*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^2 - 486*a*b^4*(3^(1/2)*1i + 1)^2*(-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(2/3)*(a^2 + b^2))*(-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(1/3))/4 + (972*B^3*a*b^4*(3*b^4 - a^4 + 2*a^2*b^2))/d^3)*(-(2*(-B^6*a^2*b^2*d^6)^(1/2) - B^3*a^2*d^3 + B^3*b^2*d^3)/d^6)^(2/3))/16 + (243*B^5*b^4*(a^2 - b^2)*(a^2 + b^2)^2*(a + b*tan(c + d*x))^(1/3))/d^5)*(3^(1/2)*1i + 1)*((B^3*a^2)/(8*d^3) - (-4*B^6*a^2*b^2*d^6)^(1/2)/(8*d^6) - (B^3*b^2)/(8*d^3))^(1/3))/2 - log((486*A^5*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)*((((3^(1/2)*1i)/2 + 1/2)*((1944*A^2*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^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(2/3)*(a^2 + b^2))*(((-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(1/3))/2 - (972*A^3*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(((-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(2/3))/4)*((3^(1/2)*1i)/2 + 1/2)*(((4*A^6*a^2*b^2*d^6 - d^6*(A^6*a^4 + A^6*b^4 + 2*A^6*a^2*b^2))^(1/2) - 2*A^3*a*b*d^3)/(8*d^6))^(1/3) + log((486*A^5*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)*((((3^(1/2)*1i)/2 - 1/2)*((1944*A^2*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^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(2/3)*(a^2 + b^2))*(((-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(1/3))/2 + (972*A^3*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(((-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 2*A^3*a*b*d^3)/d^6)^(2/3))/4)*((3^(1/2)*1i)/2 - 1/2)*(((4*A^6*a^2*b^2*d^6 - d^6*(A^6*a^4 + A^6*b^4 + 2*A^6*a^2*b^2))^(1/2) - 2*A^3*a*b*d^3)/(8*d^6))^(1/3) - log((486*A^5*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)*((((3^(1/2)*1i)/2 + 1/2)*((1944*A^2*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^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(2/3)*(a^2 + b^2))*(-((-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(1/3))/2 - (972*A^3*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(-((-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(2/3))/4)*((3^(1/2)*1i)/2 + 1/2)*(-((4*A^6*a^2*b^2*d^6 - d^6*(A^6*a^4 + A^6*b^4 + 2*A^6*a^2*b^2))^(1/2) + 2*A^3*a*b*d^3)/(8*d^6))^(1/3) + log((486*A^5*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)*((((3^(1/2)*1i)/2 - 1/2)*((1944*A^2*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^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(2/3)*(a^2 + b^2))*(-((-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(1/3))/2 + (972*A^3*b^5*(3*a^4 - b^4 + 2*a^2*b^2))/d^3)*(-((-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 2*A^3*a*b*d^3)/d^6)^(2/3))/4)*((3^(1/2)*1i)/2 - 1/2)*(-((4*A^6*a^2*b^2*d^6 - d^6*(A^6*a^4 + A^6*b^4 + 2*A^6*a^2*b^2))^(1/2) + 2*A^3*a*b*d^3)/(8*d^6))^(1/3) + (3*B*(a + b*tan(c + d*x))^(2/3))/(2*d)","B"
474,1,2537,377,17.683320,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/3),x)","\ln\left(a\,d^7\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{4/3}+A\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\sqrt{-A^6\,a^2\,d^6}-A^4\,a^2\,d^3\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+2\,A^3\,a\,b\,d^4\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{1/3}\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{8\,d^6}\right)}^{1/3}+\ln\left(A\,b\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,\sqrt{-A^6\,a^2\,d^6}+A^4\,a^2\,d^3\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+a\,d\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{1/3}\,\sqrt{-A^6\,a^2\,d^6}-A^3\,a\,b\,d^4\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{1/3}\right)\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{8\,d^6}\right)}^{1/3}+\ln\left(d\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6}\right)}^{1/3}-B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{8\,d^6}\right)}^{1/3}+\ln\left(d\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{d^6}\right)}^{1/3}-B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\right)\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{8\,d^6}\right)}^{1/3}+\frac{\ln\left(-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(1944\,a\,b^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)-\frac{3888\,B\,a\,b^4\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6}\right)}^{2/3}}{16}-\frac{972\,B^3\,b^4\,\left(a^4-b^4\right)}{d^3}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,B^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}}{8\,d^6}+\frac{B^3\,a}{8\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(1944\,a\,b^4\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)+\frac{3888\,B\,a\,b^4\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{972\,B^3\,b^4\,\left(a^4-b^4\right)}{d^3}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,B^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}}{8\,d^6}+\frac{B^3\,a}{8\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(1944\,a\,b^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)-\frac{3888\,B\,a\,b^4\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{d^6}\right)}^{2/3}}{16}-\frac{972\,B^3\,b^4\,\left(a^4-b^4\right)}{d^3}\right)\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,B^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{B^3\,a}{8\,d^3}-\frac{\sqrt{-B^6\,b^2\,d^6}}{8\,d^6}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(1944\,a\,b^4\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)+\frac{3888\,B\,a\,b^4\,\left(a^2+b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{972\,B^3\,b^4\,\left(a^4-b^4\right)}{d^3}\right)\,{\left(-\frac{\sqrt{-B^6\,b^2\,d^6}-B^3\,a\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,B^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{B^3\,a}{8\,d^3}-\frac{\sqrt{-B^6\,b^2\,d^6}}{8\,d^6}\right)}^{1/3}}{2}+\frac{3\,B\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}+\frac{\ln\left(\frac{\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{3888\,A\,b^5\,\left(a^2+b^2\right)\,{\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(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{1944\,A^3\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}}{8\,d^6}-\frac{A^3\,b}{8\,d^3}\right)}^{1/3}}{2}+\frac{\ln\left(\frac{\left(\frac{{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{3888\,A\,b^5\,\left(a^2+b^2\right)\,{\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(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)\right)\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{1944\,A^3\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}}{8\,d^6}-\frac{A^3\,b}{8\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{3888\,A\,b^5\,\left(a^2+b^2\right)\,{\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(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{1944\,A^3\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}}{8\,d^6}-\frac{A^3\,b}{8\,d^3}\right)}^{1/3}}{2}-\frac{\ln\left(-\frac{\left(\frac{{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{3888\,A\,b^5\,\left(a^2+b^2\right)\,{\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(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{1/3}\,\left(a^2+b^2\right)\right)\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{2/3}}{16}+\frac{1944\,A^3\,a\,b^5\,\left(a^2+b^2\right)}{d^3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,\left(a^4-b^4\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{\sqrt{-A^6\,a^2\,d^6}}{8\,d^6}-\frac{A^3\,b}{8\,d^3}\right)}^{1/3}}{2}","Not used",1,"log(a*d^7*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(4/3) + A*b*(a + b*tan(c + d*x))^(1/3)*(-A^6*a^2*d^6)^(1/2) - A^4*a^2*d^3*(a + b*tan(c + d*x))^(1/3) + 2*A^3*a*b*d^4*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(1/3))*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/(8*d^6))^(1/3) + log(A*b*(a + b*tan(c + d*x))^(1/3)*(-A^6*a^2*d^6)^(1/2) + A^4*a^2*d^3*(a + b*tan(c + d*x))^(1/3) + a*d*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(1/3)*(-A^6*a^2*d^6)^(1/2) - A^3*a*b*d^4*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(1/3))*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/(8*d^6))^(1/3) + log(d*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/d^6)^(1/3) - B*(a + b*tan(c + d*x))^(1/3))*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/(8*d^6))^(1/3) + log(d*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/d^6)^(1/3) - B*(a + b*tan(c + d*x))^(1/3))*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/(8*d^6))^(1/3) + (log(- ((3^(1/2)*1i - 1)*(((3^(1/2)*1i - 1)^2*(1944*a*b^4*(3^(1/2)*1i - 1)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/d^6)^(1/3)*(a^2 + b^2) - (3888*B*a*b^4*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/d^6)^(2/3))/16 - (972*B^3*b^4*(a^4 - b^4))/d^3)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/d^6)^(1/3))/4 - (486*B^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i - 1)*((-B^6*b^2*d^6)^(1/2)/(8*d^6) + (B^3*a)/(8*d^3))^(1/3))/2 - (log(- ((3^(1/2)*1i + 1)*(((3^(1/2)*1i + 1)^2*(1944*a*b^4*(3^(1/2)*1i + 1)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/d^6)^(1/3)*(a^2 + b^2) + (3888*B*a*b^4*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/d^6)^(2/3))/16 + (972*B^3*b^4*(a^4 - b^4))/d^3)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/d^6)^(1/3))/4 - (486*B^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i + 1)*((-B^6*b^2*d^6)^(1/2)/(8*d^6) + (B^3*a)/(8*d^3))^(1/3))/2 + (log(- ((3^(1/2)*1i - 1)*(((3^(1/2)*1i - 1)^2*(1944*a*b^4*(3^(1/2)*1i - 1)*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/d^6)^(1/3)*(a^2 + b^2) - (3888*B*a*b^4*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d)*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/d^6)^(2/3))/16 - (972*B^3*b^4*(a^4 - b^4))/d^3)*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/d^6)^(1/3))/4 - (486*B^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i - 1)*((B^3*a)/(8*d^3) - (-B^6*b^2*d^6)^(1/2)/(8*d^6))^(1/3))/2 - (log(- ((3^(1/2)*1i + 1)*(((3^(1/2)*1i + 1)^2*(1944*a*b^4*(3^(1/2)*1i + 1)*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/d^6)^(1/3)*(a^2 + b^2) + (3888*B*a*b^4*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d)*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/d^6)^(2/3))/16 + (972*B^3*b^4*(a^4 - b^4))/d^3)*(-((-B^6*b^2*d^6)^(1/2) - B^3*a*d^3)/d^6)^(1/3))/4 - (486*B^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i + 1)*((B^3*a)/(8*d^3) - (-B^6*b^2*d^6)^(1/2)/(8*d^6))^(1/3))/2 + (3*B*(a + b*tan(c + d*x))^(1/3))/d + (log(((((3^(1/2)*1i - 1)^2*((3888*A*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d + 1944*a*b^4*(3^(1/2)*1i - 1)*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(1/3)*(a^2 + b^2))*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(2/3))/16 + (1944*A^3*a*b^5*(a^2 + b^2))/d^3)*(3^(1/2)*1i - 1)*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(1/3))/4 - (486*A^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i - 1)*((-A^6*a^2*d^6)^(1/2)/(8*d^6) - (A^3*b)/(8*d^3))^(1/3))/2 + (log(((((3^(1/2)*1i - 1)^2*((3888*A*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d + 1944*a*b^4*(3^(1/2)*1i - 1)*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(1/3)*(a^2 + b^2))*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(2/3))/16 + (1944*A^3*a*b^5*(a^2 + b^2))/d^3)*(3^(1/2)*1i - 1)*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(1/3))/4 - (486*A^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i - 1)*(- (-A^6*a^2*d^6)^(1/2)/(8*d^6) - (A^3*b)/(8*d^3))^(1/3))/2 - (log(- ((((3^(1/2)*1i + 1)^2*((3888*A*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d - 1944*a*b^4*(3^(1/2)*1i + 1)*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(1/3)*(a^2 + b^2))*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(2/3))/16 + (1944*A^3*a*b^5*(a^2 + b^2))/d^3)*(3^(1/2)*1i + 1)*(((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3)/d^6)^(1/3))/4 - (486*A^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i + 1)*((-A^6*a^2*d^6)^(1/2)/(8*d^6) - (A^3*b)/(8*d^3))^(1/3))/2 - (log(- ((((3^(1/2)*1i + 1)^2*((3888*A*b^5*(a^2 + b^2)*(a + b*tan(c + d*x))^(1/3))/d - 1944*a*b^4*(3^(1/2)*1i + 1)*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(1/3)*(a^2 + b^2))*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(2/3))/16 + (1944*A^3*a*b^5*(a^2 + b^2))/d^3)*(3^(1/2)*1i + 1)*(-((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/d^6)^(1/3))/4 - (486*A^4*b^4*(a^4 - b^4)*(a + b*tan(c + d*x))^(1/3))/d^4)*(3^(1/2)*1i + 1)*(- (-A^6*a^2*d^6)^(1/2)/(8*d^6) - (A^3*b)/(8*d^3))^(1/3))/2","B"
475,1,3228,357,18.251702,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x))^(1/3),x)","\ln\left(\frac{{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}\,\left(972\,a\,b^4\,\sqrt{-B^6\,b^2\,d^6}-972\,B^3\,b^6\,d^3+972\,B^2\,b^6\,d^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}-972\,B^2\,a^2\,b^4\,d^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(\frac{\sqrt{-B^6\,b^2\,d^6}+B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}\right)}{4\,d^6}+\frac{243\,B^5\,a\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}\right)\,{\left(\frac{\sqrt{-64\,B^6\,b^2\,d^6}}{64\,\left(a^2\,d^6+b^2\,d^6\right)}+\frac{B^3\,a\,d^3}{8\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(1944\,a\,b^4\,\left(a^2+b^2\right)\,{\left(\frac{\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}+\frac{1944\,A^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,\left(\sqrt{-A^6\,a^2\,d^6}+A^3\,b\,d^3\right)}{8\,d^6\,\left(a^2+b^2\right)}+\frac{243\,A^5\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}\right)\,{\left(\frac{\sqrt{-64\,A^6\,a^2\,d^6}}{64\,\left(a^2\,d^6+b^2\,d^6\right)}+\frac{A^3\,b\,d^3}{8\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{243\,B^5\,a\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}\,\left(972\,a\,b^4\,\sqrt{-B^6\,b^2\,d^6}+972\,B^3\,b^6\,d^3-486\,B^2\,b^6\,d^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}+486\,B^2\,a^2\,b^4\,d^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}\right)}{16\,d^6}\right)\,{\left(\frac{B^3\,a\,d^3}{8\,\left(a^2\,d^6+b^2\,d^6\right)}-\frac{\sqrt{-64\,B^6\,b^2\,d^6}}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{243\,A^5\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(486\,a\,b^4\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-A^6\,a^2\,d^6}-8\,A^3\,b\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}+\frac{1944\,A^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,\left(\sqrt{-A^6\,a^2\,d^6}-A^3\,b\,d^3\right)}{8\,d^6\,\left(a^2+b^2\right)}\right)\,{\left(\frac{A^3\,b\,d^3}{8\,\left(a^2\,d^6+b^2\,d^6\right)}-\frac{\sqrt{-64\,A^6\,a^2\,d^6}}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}-\ln\left(\frac{\left(486\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{8\,\sqrt{-A^6\,a^2\,d^6}+8\,A^3\,b\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}+\frac{1944\,A^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,\left(8\,\sqrt{-A^6\,a^2\,d^6}+8\,A^3\,b\,d^3\right)}{64\,d^6\,\left(a^2+b^2\right)}+\frac{243\,A^5\,b^5\,{\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{\sqrt{64\,A^6\,b^2\,d^6-A^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}+8\,A^3\,b\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{243\,A^5\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(486\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{8\,\sqrt{-A^6\,a^2\,d^6}+8\,A^3\,b\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}-\frac{1944\,A^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,\left(8\,\sqrt{-A^6\,a^2\,d^6}+8\,A^3\,b\,d^3\right)}{64\,d^6\,\left(a^2+b^2\right)}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{64\,A^6\,b^2\,d^6-A^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}+8\,A^3\,b\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}-\ln\left(\frac{243\,A^5\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^5}-\frac{\left(486\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-A^6\,a^2\,d^6}-8\,A^3\,b\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}+\frac{1944\,A^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,\left(8\,\sqrt{-A^6\,a^2\,d^6}-8\,A^3\,b\,d^3\right)}{64\,d^6\,\left(a^2+b^2\right)}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{64\,A^6\,b^2\,d^6-A^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}-8\,A^3\,b\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(486\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-A^6\,a^2\,d^6}-8\,A^3\,b\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}-\frac{1944\,A^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,\left(8\,\sqrt{-A^6\,a^2\,d^6}-8\,A^3\,b\,d^3\right)}{64\,d^6\,\left(a^2+b^2\right)}+\frac{243\,A^5\,b^5\,{\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{\sqrt{64\,A^6\,b^2\,d^6-A^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}-8\,A^3\,b\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}-\ln\left(\frac{243\,B^5\,a\,b^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(486\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{8\,\sqrt{-B^6\,b^2\,d^6}+8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}-\frac{1944\,B^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,{\left(\frac{8\,\sqrt{-B^6\,b^2\,d^6}+8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}}{4}+\frac{972\,B^3\,b^4\,\left(a^2+b^2\right)}{d^3}\right)\,{\left(\frac{8\,\sqrt{-B^6\,b^2\,d^6}+8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}}{16}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{64\,B^6\,a^2\,d^6-B^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}+8\,B^3\,a\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\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(486\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{8\,\sqrt{-B^6\,b^2\,d^6}+8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}+\frac{1944\,B^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,{\left(\frac{8\,\sqrt{-B^6\,b^2\,d^6}+8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}}{4}+\frac{972\,B^3\,b^4\,\left(a^2+b^2\right)}{d^3}\right)\,{\left(\frac{8\,\sqrt{-B^6\,b^2\,d^6}+8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}}{16}+\frac{243\,B^5\,a\,b^4\,{\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{\sqrt{64\,B^6\,a^2\,d^6-B^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}+8\,B^3\,a\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}-\ln\left(\frac{243\,B^5\,a\,b^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(486\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}-\frac{1944\,B^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}}{4}+\frac{972\,B^3\,b^4\,\left(a^2+b^2\right)}{d^3}\right)\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}}{16}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{64\,B^6\,a^2\,d^6-B^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}-8\,B^3\,a\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\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(486\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}+\frac{1944\,B^2\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^2}\right)\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{1/3}}{4}+\frac{972\,B^3\,b^4\,\left(a^2+b^2\right)}{d^3}\right)\,{\left(-\frac{8\,\sqrt{-B^6\,b^2\,d^6}-8\,B^3\,a\,d^3}{d^6\,\left(a^2+b^2\right)}\right)}^{2/3}}{16}+\frac{243\,B^5\,a\,b^4\,{\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{\sqrt{64\,B^6\,a^2\,d^6-B^6\,\left(64\,a^2\,d^6+64\,b^2\,d^6\right)}-8\,B^3\,a\,d^3}{64\,\left(a^2\,d^6+b^2\,d^6\right)}\right)}^{1/3}","Not used",1,"log(((((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3)*(972*a*b^4*(-B^6*b^2*d^6)^(1/2) - 972*B^3*b^6*d^3 + 972*B^2*b^6*d^4*(a + b*tan(c + d*x))^(1/3)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3) - 972*B^2*a^2*b^4*d^4*(a + b*tan(c + d*x))^(1/3)*(((-B^6*b^2*d^6)^(1/2) + B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3)))/(4*d^6) + (243*B^5*a*b^4*(a + b*tan(c + d*x))^(1/3))/d^5)*((-64*B^6*b^2*d^6)^(1/2)/(64*(a^2*d^6 + b^2*d^6)) + (B^3*a*d^3)/(8*(a^2*d^6 + b^2*d^6)))^(1/3) + log(((1944*a*b^4*(a^2 + b^2)*(((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3)/(d^6*(a^2 + b^2)))^(2/3) + (1944*A^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*((-A^6*a^2*d^6)^(1/2) + A^3*b*d^3))/(8*d^6*(a^2 + b^2)) + (243*A^5*b^5*(a + b*tan(c + d*x))^(1/3))/d^5)*((-64*A^6*a^2*d^6)^(1/2)/(64*(a^2*d^6 + b^2*d^6)) + (A^3*b*d^3)/(8*(a^2*d^6 + b^2*d^6)))^(1/3) + log((243*B^5*a*b^4*(a + b*tan(c + d*x))^(1/3))/d^5 - ((-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3)*(972*a*b^4*(-B^6*b^2*d^6)^(1/2) + 972*B^3*b^6*d^3 - 486*B^2*b^6*d^4*(a + b*tan(c + d*x))^(1/3)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3) + 486*B^2*a^2*b^4*d^4*(a + b*tan(c + d*x))^(1/3)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3)))/(16*d^6))*((B^3*a*d^3)/(8*(a^2*d^6 + b^2*d^6)) - (-64*B^6*b^2*d^6)^(1/2)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) + log((243*A^5*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 - ((486*a*b^4*(a^2 + b^2)*(-(8*(-A^6*a^2*d^6)^(1/2) - 8*A^3*b*d^3)/(d^6*(a^2 + b^2)))^(2/3) + (1944*A^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*((-A^6*a^2*d^6)^(1/2) - A^3*b*d^3))/(8*d^6*(a^2 + b^2)))*((A^3*b*d^3)/(8*(a^2*d^6 + b^2*d^6)) - (-64*A^6*a^2*d^6)^(1/2)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) - log(((486*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*((8*(-A^6*a^2*d^6)^(1/2) + 8*A^3*b*d^3)/(d^6*(a^2 + b^2)))^(2/3) + (1944*A^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*(8*(-A^6*a^2*d^6)^(1/2) + 8*A^3*b*d^3))/(64*d^6*(a^2 + b^2)) + (243*A^5*b^5*(a + b*tan(c + d*x))^(1/3))/d^5)*((3^(1/2)*1i)/2 + 1/2)*(((64*A^6*b^2*d^6 - A^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) + 8*A^3*b*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) + log((243*A^5*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 - ((486*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*((8*(-A^6*a^2*d^6)^(1/2) + 8*A^3*b*d^3)/(d^6*(a^2 + b^2)))^(2/3) - (1944*A^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*(8*(-A^6*a^2*d^6)^(1/2) + 8*A^3*b*d^3))/(64*d^6*(a^2 + b^2)))*((3^(1/2)*1i)/2 - 1/2)*(((64*A^6*b^2*d^6 - A^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) + 8*A^3*b*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) - log((243*A^5*b^5*(a + b*tan(c + d*x))^(1/3))/d^5 - ((486*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*(-(8*(-A^6*a^2*d^6)^(1/2) - 8*A^3*b*d^3)/(d^6*(a^2 + b^2)))^(2/3) + (1944*A^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*(8*(-A^6*a^2*d^6)^(1/2) - 8*A^3*b*d^3))/(64*d^6*(a^2 + b^2)))*((3^(1/2)*1i)/2 + 1/2)*(-((64*A^6*b^2*d^6 - A^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) - 8*A^3*b*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) + log(((486*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*(-(8*(-A^6*a^2*d^6)^(1/2) - 8*A^3*b*d^3)/(d^6*(a^2 + b^2)))^(2/3) - (1944*A^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*(8*(-A^6*a^2*d^6)^(1/2) - 8*A^3*b*d^3))/(64*d^6*(a^2 + b^2)) + (243*A^5*b^5*(a + b*tan(c + d*x))^(1/3))/d^5)*((3^(1/2)*1i)/2 - 1/2)*(-((64*A^6*b^2*d^6 - A^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) - 8*A^3*b*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) - log((243*B^5*a*b^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)*(486*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*((8*(-B^6*b^2*d^6)^(1/2) + 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3) - (1944*B^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*((8*(-B^6*b^2*d^6)^(1/2) + 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3))/4 + (972*B^3*b^4*(a^2 + b^2))/d^3)*((8*(-B^6*b^2*d^6)^(1/2) + 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3))/16)*((3^(1/2)*1i)/2 + 1/2)*(((64*B^6*a^2*d^6 - B^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) + 8*B^3*a*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) + log((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(486*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*((8*(-B^6*b^2*d^6)^(1/2) + 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3) + (1944*B^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*((8*(-B^6*b^2*d^6)^(1/2) + 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3))/4 + (972*B^3*b^4*(a^2 + b^2))/d^3)*((8*(-B^6*b^2*d^6)^(1/2) + 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3))/16 + (243*B^5*a*b^4*(a + b*tan(c + d*x))^(1/3))/d^5)*((3^(1/2)*1i)/2 - 1/2)*(((64*B^6*a^2*d^6 - B^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) + 8*B^3*a*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) - log((243*B^5*a*b^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)*(486*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3) - (1944*B^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3))/4 + (972*B^3*b^4*(a^2 + b^2))/d^3)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3))/16)*((3^(1/2)*1i)/2 + 1/2)*(-((64*B^6*a^2*d^6 - B^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) - 8*B^3*a*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3) + log((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(486*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3) + (1944*B^2*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d^2)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(1/3))/4 + (972*B^3*b^4*(a^2 + b^2))/d^3)*(-(8*(-B^6*b^2*d^6)^(1/2) - 8*B^3*a*d^3)/(d^6*(a^2 + b^2)))^(2/3))/16 + (243*B^5*a*b^4*(a + b*tan(c + d*x))^(1/3))/d^5)*((3^(1/2)*1i)/2 - 1/2)*(-((64*B^6*a^2*d^6 - B^6*(64*a^2*d^6 + 64*b^2*d^6))^(1/2) - 8*B^3*a*d^3)/(64*(a^2*d^6 + b^2*d^6)))^(1/3)","B"
476,1,4562,357,21.697003,"\text{Not used}","int((A + B*tan(c + d*x))/(a + b*tan(c + d*x))^(2/3),x)","\ln\left(\frac{{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}\,\left(1944\,a\,b^4\,\sqrt{-B^6\,a^2\,b^2\,d^6}-1944\,B^3\,a\,b^6\,d^3+243\,B\,b^8\,d^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}-243\,B\,a^4\,b^4\,d^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}\right)}{4\,d^6\,\left(a^2+b^2\right)}+\frac{486\,B^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,{\left(\frac{\sqrt{\frac{{\left(16\,B^3\,a^2\,d^3-16\,B^3\,b^2\,d^3\right)}^2}{4}-B^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{486\,B^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}-\frac{{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}\,\left(1944\,a\,b^4\,\sqrt{-B^6\,a^2\,b^2\,d^6}+1944\,B^3\,a\,b^6\,d^3-243\,B\,b^8\,d^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}+243\,B\,a^4\,b^4\,d^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}\right)}{4\,d^6\,\left(a^2+b^2\right)}\right)\,{\left(-\frac{\sqrt{\frac{{\left(16\,B^3\,a^2\,d^3-16\,B^3\,b^2\,d^3\right)}^2}{4}-B^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(\frac{\left(1944\,a\,b^4\,\left(a^2+b^2\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}+\frac{7776\,A\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}-\frac{972\,A^3\,b^5}{d^3}\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,{\left(\frac{\sqrt{256\,A^6\,a^2\,b^2\,d^6-A^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}+16\,A^3\,a\,b\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(\frac{\left(1944\,a\,b^4\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}+\frac{7776\,A\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}-\frac{972\,A^3\,b^5}{d^3}\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,{\left(-\frac{\sqrt{256\,A^6\,a^2\,b^2\,d^6-A^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}-16\,A^3\,a\,b\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{486\,B^4\,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{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(972\,a\,b^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^2+b^2\right)\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}-\frac{3888\,B\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{32}+\frac{972\,B^3\,a\,b^4}{d^3}\right)\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{8}\right)\,\left(-\frac{{\left(\frac{\sqrt{-256\,B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,{\left(\frac{\sqrt{-256\,B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6}\right)}^{1/3}\,1{}\mathrm{i}}{2}\right)+\ln\left(\frac{486\,B^4\,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{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(972\,a\,b^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}-\frac{3888\,B\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{32}+\frac{972\,B^3\,a\,b^4}{d^3}\right)\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{8}\right)\,\left(-\frac{{\left(-\frac{\sqrt{-256\,B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,{\left(-\frac{\sqrt{-256\,B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6}\right)}^{1/3}\,1{}\mathrm{i}}{2}\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(1944\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}+\frac{3888\,B\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}+\frac{972\,B^3\,a\,b^4}{d^3}\right)\,{\left(\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,B^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{\frac{{\left(16\,B^3\,a^2\,d^3-16\,B^3\,b^2\,d^3\right)}^2}{4}-B^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}+8\,B^3\,a^2\,d^3-8\,B^3\,b^2\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\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(1944\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}+\frac{3888\,B\,b^4\,\left(a^2-b^2\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}+\frac{972\,B^3\,a\,b^4}{d^3}\right)\,{\left(-\frac{16\,\sqrt{-B^6\,a^2\,b^2\,d^6}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,B^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{\frac{{\left(16\,B^3\,a^2\,d^3-16\,B^3\,b^2\,d^3\right)}^2}{4}-B^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}-8\,B^3\,a^2\,d^3+8\,B^3\,b^2\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,A^3\,b^5}{d^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(1944\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}+\frac{7776\,A\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}+\frac{486\,A^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{256\,A^6\,a^2\,b^2\,d^6-A^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}+16\,A^3\,a\,b\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,A^3\,b^5}{d^3}+\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(1944\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}-\frac{7776\,A\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}+16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{256\,A^6\,a^2\,b^2\,d^6-A^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}+16\,A^3\,a\,b\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,A^3\,b^5}{d^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(1944\,a\,b^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}+\frac{7776\,A\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}+\frac{486\,A^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{256\,A^6\,a^2\,b^2\,d^6-A^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}-16\,A^3\,a\,b\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}-\ln\left(\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,A^3\,b^5}{d^3}+\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(1944\,a\,b^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(a^2+b^2\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}-\frac{7776\,A\,a\,b^5\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(-\frac{8\,\sqrt{-A^6\,d^6\,{\left(a^2-b^2\right)}^2}-16\,A^3\,a\,b\,d^3}{d^6\,{\left(a^2+b^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,A^4\,b^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{256\,A^6\,a^2\,b^2\,d^6-A^6\,\left(64\,a^4\,d^6+128\,a^2\,b^2\,d^6+64\,b^4\,d^6\right)}-16\,A^3\,a\,b\,d^3}{64\,\left(a^4\,d^6+2\,a^2\,b^2\,d^6+b^4\,d^6\right)}\right)}^{1/3}","Not used",1,"log((((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3)*(1944*a*b^4*(-B^6*a^2*b^2*d^6)^(1/2) - 1944*B^3*a*b^6*d^3 + 243*B*b^8*d^5*(a + b*tan(c + d*x))^(1/3)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3) - 243*B*a^4*b^4*d^5*(a + b*tan(c + d*x))^(1/3)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3)))/(4*d^6*(a^2 + b^2)) + (486*B^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*((((16*B^3*a^2*d^3 - 16*B^3*b^2*d^3)^2/4 - B^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) + log((486*B^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4 - ((-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3)*(1944*a*b^4*(-B^6*a^2*b^2*d^6)^(1/2) + 1944*B^3*a*b^6*d^3 - 243*B*b^8*d^5*(a + b*tan(c + d*x))^(1/3)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3) + 243*B*a^4*b^4*d^5*(a + b*tan(c + d*x))^(1/3)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3)))/(4*d^6*(a^2 + b^2)))*(-(((16*B^3*a^2*d^3 - 16*B^3*b^2*d^3)^2/4 - B^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) + log(((((1944*a*b^4*(a^2 + b^2)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) + (7776*A*a*b^5*(a + b*tan(c + d*x))^(1/3))/d)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16 - (972*A^3*b^5)/d^3)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 - (486*A^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*(((256*A^6*a^2*b^2*d^6 - A^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) + 16*A^3*a*b*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) + log(((((1944*a*b^4*(a^2 + b^2)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) + (7776*A*a*b^5*(a + b*tan(c + d*x))^(1/3))/d)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16 - (972*A^3*b^5)/d^3)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 - (486*A^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*(-((256*A^6*a^2*b^2*d^6 - A^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) - 16*A^3*a*b*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) + log((486*B^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4 - ((3^(1/2)*1i - 1)*(((3^(1/2)*1i + 1)*(972*a*b^4*(3^(1/2)*1i - 1)*(a^2 + b^2)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) - (3888*B*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/32 + (972*B^3*a*b^4)/d^3)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/8)*((3^(1/2)*(((-256*B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/3)*1i)/2 - (((-256*B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/3)/2) + log((486*B^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4 - ((3^(1/2)*1i - 1)*(((3^(1/2)*1i + 1)*(972*a*b^4*(3^(1/2)*1i - 1)*(a^2 + b^2)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) - (3888*B*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/32 + (972*B^3*a*b^4)/d^3)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/8)*((3^(1/2)*(-((-256*B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/3)*1i)/2 - (-((-256*B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/3)/2) - log(- (((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(1944*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) + (3888*B*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16 + (972*B^3*a*b^4)/d^3)*((16*(-B^6*a^2*b^2*d^6)^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 - (486*B^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 + 1/2)*((((16*B^3*a^2*d^3 - 16*B^3*b^2*d^3)^2/4 - B^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) + 8*B^3*a^2*d^3 - 8*B^3*b^2*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) - log(- (((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(1944*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) + (3888*B*b^4*(a^2 - b^2)*(a + b*tan(c + d*x))^(1/3))/d)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16 + (972*B^3*a*b^4)/d^3)*(-(16*(-B^6*a^2*b^2*d^6)^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 - (486*B^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 + 1/2)*(-(((16*B^3*a^2*d^3 - 16*B^3*b^2*d^3)^2/4 - B^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) - 8*B^3*a^2*d^3 + 8*B^3*b^2*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) + log((((3^(1/2)*1i)/2 - 1/2)*((972*A^3*b^5)/d^3 + (((3^(1/2)*1i)/2 + 1/2)*(1944*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) + (7776*A*a*b^5*(a + b*tan(c + d*x))^(1/3))/d)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 + (486*A^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 - 1/2)*(((256*A^6*a^2*b^2*d^6 - A^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) + 16*A^3*a*b*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((972*A^3*b^5)/d^3 + (((3^(1/2)*1i)/2 - 1/2)*(1944*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) - (7776*A*a*b^5*(a + b*tan(c + d*x))^(1/3))/d)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16)*((8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) + 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 - (486*A^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 + 1/2)*(((256*A^6*a^2*b^2*d^6 - A^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) + 16*A^3*a*b*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) + log((((3^(1/2)*1i)/2 - 1/2)*((972*A^3*b^5)/d^3 + (((3^(1/2)*1i)/2 + 1/2)*(1944*a*b^4*((3^(1/2)*1i)/2 - 1/2)*(a^2 + b^2)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) + (7776*A*a*b^5*(a + b*tan(c + d*x))^(1/3))/d)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 + (486*A^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 - 1/2)*(-((256*A^6*a^2*b^2*d^6 - A^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) - 16*A^3*a*b*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((972*A^3*b^5)/d^3 + (((3^(1/2)*1i)/2 - 1/2)*(1944*a*b^4*((3^(1/2)*1i)/2 + 1/2)*(a^2 + b^2)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3) - (7776*A*a*b^5*(a + b*tan(c + d*x))^(1/3))/d)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(2/3))/16)*(-(8*(-A^6*d^6*(a^2 - b^2)^2)^(1/2) - 16*A^3*a*b*d^3)/(d^6*(a^2 + b^2)^2))^(1/3))/4 - (486*A^4*b^4*(a + b*tan(c + d*x))^(1/3))/d^4)*((3^(1/2)*1i)/2 + 1/2)*(-((256*A^6*a^2*b^2*d^6 - A^6*(64*a^4*d^6 + 64*b^4*d^6 + 128*a^2*b^2*d^6))^(1/2) - 16*A^3*a*b*d^3)/(64*(a^4*d^6 + b^4*d^6 + 2*a^2*b^2*d^6)))^(1/3)","B"
477,1,2982,148,20.671557,"\text{Not used}","int(-(tan(e + f*x) - 1i)/(c + d*tan(e + f*x))^(1/3),x)","\ln\left(d^5\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,243{}\mathrm{i}+\frac{\left(1944\,d^4\,f^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}-3\,2^{1/3}\,c\,d^4\,f^6\,\left(c^2+d^2\right)\,{\left(-\frac{11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}\right)\,\left(11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}\right)}{93312\,d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)\,{\left(-\frac{f^3\,\sqrt{\frac{4\,\left(729\,c^2\,d^6+729\,d^8\right)\,\left(46656\,c^4\,d^6+93312\,c^2\,d^8+46656\,d^{10}\right)}{f^6}-\frac{{\left(11664\,c^2\,d^7+11664\,d^9\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{93312\,f^3\,\left(c^4\,d^6+2\,c^2\,d^8+d^{10}\right)}\right)}^{1/3}+\ln\left(d^5\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,243{}\mathrm{i}+\frac{\left(1944\,d^4\,f^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}-3\,2^{1/3}\,c\,d^4\,f^6\,\left(c^2+d^2\right)\,{\left(-\frac{-11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}\right)\,\left(-11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}\right)}{93312\,d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)\,{\left(-\frac{-f^3\,\sqrt{\frac{4\,\left(729\,c^2\,d^6+729\,d^8\right)\,\left(46656\,c^4\,d^6+93312\,c^2\,d^8+46656\,d^{10}\right)}{f^6}-\frac{{\left(11664\,c^2\,d^7+11664\,d^9\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{93312\,f^3\,\left(c^4\,d^6+2\,c^2\,d^8+d^{10}\right)}\right)}^{1/3}+\frac{\ln\left(-\frac{{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{2/3}\,\left(\frac{{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(\frac{1944\,d^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^2}-1944\,c\,d^4\,{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{2/3}\,\left(c^2+d^2\right)\right)}{2}-\frac{972\,d^4\,\left(c^2+d^2\right)}{f^3}\right)}{4}-\frac{243\,c\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^5}\right)\,{\left(-\frac{1}{c\,f^3-d\,f^3\,1{}\mathrm{i}}\right)}^{1/3}}{2}+\ln\left(\left(\left(7776\,c\,d^4\,\left(c^2+d^2\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{2/3}-\frac{1944\,d^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^2}\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{1/3}+\frac{972\,d^4\,\left(c^2+d^2\right)}{f^3}\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{2/3}-\frac{243\,c\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^5}\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,\left(-d\,f^3+c\,f^3\,1{}\mathrm{i}\right)}\right)}^{1/3}+\frac{\ln\left(-\frac{{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,d^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^2}-486\,c\,d^4\,{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(c^2+d^2\right)\right)}{4}-\frac{972\,d^4\,\left(c^2+d^2\right)}{f^3}\right)}{16}-\frac{243\,c\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^5}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{8\,\left(c\,f^3-d\,f^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(\frac{{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{1/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,d^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^2}-486\,c\,d^4\,{\left(-\frac{1}{f^3\,\left(c-d\,1{}\mathrm{i}\right)}\right)}^{2/3}\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(c^2+d^2\right)\right)}{4}+\frac{972\,d^4\,\left(c^2+d^2\right)}{f^3}\right)}{16}-\frac{243\,c\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^5}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1}{8\,\left(c\,f^3-d\,f^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}-\ln\left(d^5\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,243{}\mathrm{i}+\frac{\left(1944\,d^4\,f^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}-\frac{3\,2^{1/3}\,c\,d^4\,f^6\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{2}\right)\,\left(11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}\right)}{93312\,d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{f^3\,\sqrt{\frac{4\,\left(729\,c^2\,d^6+729\,d^8\right)\,\left(46656\,c^4\,d^6+93312\,c^2\,d^8+46656\,d^{10}\right)}{f^6}-\frac{{\left(11664\,c^2\,d^7+11664\,d^9\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{93312\,f^3\,\left(c^4\,d^6+2\,c^2\,d^8+d^{10}\right)}\right)}^{1/3}+\ln\left(d^5\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,243{}\mathrm{i}+\frac{\left(1944\,d^4\,f^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+\frac{3\,2^{1/3}\,c\,d^4\,f^6\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{2}\right)\,\left(11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}\right)}{93312\,d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{f^3\,\sqrt{\frac{4\,\left(729\,c^2\,d^6+729\,d^8\right)\,\left(46656\,c^4\,d^6+93312\,c^2\,d^8+46656\,d^{10}\right)}{f^6}-\frac{{\left(11664\,c^2\,d^7+11664\,d^9\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{93312\,f^3\,\left(c^4\,d^6+2\,c^2\,d^8+d^{10}\right)}\right)}^{1/3}-\ln\left(d^5\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,243{}\mathrm{i}+\frac{\left(1944\,d^4\,f^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}-\frac{3\,2^{1/3}\,c\,d^4\,f^6\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{-11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{2}\right)\,\left(-11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}\right)}{93312\,d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-f^3\,\sqrt{\frac{4\,\left(729\,c^2\,d^6+729\,d^8\right)\,\left(46656\,c^4\,d^6+93312\,c^2\,d^8+46656\,d^{10}\right)}{f^6}-\frac{{\left(11664\,c^2\,d^7+11664\,d^9\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{93312\,f^3\,\left(c^4\,d^6+2\,c^2\,d^8+d^{10}\right)}\right)}^{1/3}+\ln\left(d^5\,f\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,243{}\mathrm{i}+\frac{\left(1944\,d^4\,f^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}+\frac{3\,2^{1/3}\,c\,d^4\,f^6\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{-11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{2}\right)\,\left(-11664\,f^3\,\sqrt{\frac{c^2\,d^{12}\,{\left(c^2+d^2\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}\right)}{93312\,d^6\,f^3\,{\left(c^2+d^2\right)}^2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{-f^3\,\sqrt{\frac{4\,\left(729\,c^2\,d^6+729\,d^8\right)\,\left(46656\,c^4\,d^6+93312\,c^2\,d^8+46656\,d^{10}\right)}{f^6}-\frac{{\left(11664\,c^2\,d^7+11664\,d^9\right)}^2}{f^6}}+d^9\,11664{}\mathrm{i}+c^2\,d^7\,11664{}\mathrm{i}}{93312\,f^3\,\left(c^4\,d^6+2\,c^2\,d^8+d^{10}\right)}\right)}^{1/3}+\frac{\ln\left(\frac{\left(\frac{972\,d^4\,\left(c^2+d^2\right)}{f^3}-\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,d^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^2}-1944\,c\,d^4\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(c^2+d^2\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}\right)\,{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{2/3}}{4}-\frac{243\,c\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^5}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,\left(-d\,f^3+c\,f^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}-\frac{\ln\left(\frac{\left(\frac{972\,d^4\,\left(c^2+d^2\right)}{f^3}+\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1944\,d^4\,\left(c^2-d^2\right)\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^2}-1944\,c\,d^4\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,\left(c^2+d^2\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{2/3}\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}\right)\,{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}^2\,{\left(-\frac{1{}\mathrm{i}}{8\,f^3\,\left(-d+c\,1{}\mathrm{i}\right)}\right)}^{2/3}}{4}-\frac{243\,c\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^5}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(-\frac{1{}\mathrm{i}}{8\,\left(-d\,f^3+c\,f^3\,1{}\mathrm{i}\right)}\right)}^{1/3}}{2}","Not used",1,"log(d^5*f*(c + d*tan(e + f*x))^(1/3)*243i + ((1944*d^4*f^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3) - 3*2^(1/3)*c*d^4*f^6*(c^2 + d^2)*(-(11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i)/(d^6*f^3*(c^2 + d^2)^2))^(2/3))*(11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i))/(93312*d^6*f^3*(c^2 + d^2)^2))*(-(f^3*((4*(729*d^8 + 729*c^2*d^6)*(46656*d^10 + 93312*c^2*d^8 + 46656*c^4*d^6))/f^6 - (11664*d^9 + 11664*c^2*d^7)^2/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i)/(93312*f^3*(d^10 + 2*c^2*d^8 + c^4*d^6)))^(1/3) + log(d^5*f*(c + d*tan(e + f*x))^(1/3)*243i + ((1944*d^4*f^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3) - 3*2^(1/3)*c*d^4*f^6*(c^2 + d^2)*(-(d^9*11664i - 11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + c^2*d^7*11664i)/(d^6*f^3*(c^2 + d^2)^2))^(2/3))*(d^9*11664i - 11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + c^2*d^7*11664i))/(93312*d^6*f^3*(c^2 + d^2)^2))*(-(d^9*11664i - f^3*((4*(729*d^8 + 729*c^2*d^6)*(46656*d^10 + 93312*c^2*d^8 + 46656*c^4*d^6))/f^6 - (11664*d^9 + 11664*c^2*d^7)^2/f^6)^(1/2) + c^2*d^7*11664i)/(93312*f^3*(d^10 + 2*c^2*d^8 + c^4*d^6)))^(1/3) + (log(- ((-1/(f^3*(c - d*1i)))^(2/3)*(((-1/(f^3*(c - d*1i)))^(1/3)*((1944*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f^2 - 1944*c*d^4*(-1/(f^3*(c - d*1i)))^(2/3)*(c^2 + d^2)))/2 - (972*d^4*(c^2 + d^2))/f^3))/4 - (243*c*d^4*(c + d*tan(e + f*x))^(1/3))/f^5)*(-1/(c*f^3 - d*f^3*1i))^(1/3))/2 + log(((7776*c*d^4*(c^2 + d^2)*(-1i/(8*f^3*(c*1i - d)))^(2/3) - (1944*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f^2)*(-1i/(8*f^3*(c*1i - d)))^(1/3) + (972*d^4*(c^2 + d^2))/f^3)*(-1i/(8*f^3*(c*1i - d)))^(2/3) - (243*c*d^4*(c + d*tan(e + f*x))^(1/3))/f^5)*(-1i/(8*(c*f^3*1i - d*f^3)))^(1/3) + (log(- ((-1/(f^3*(c - d*1i)))^(2/3)*(3^(1/2)*1i - 1)^2*(((-1/(f^3*(c - d*1i)))^(1/3)*(3^(1/2)*1i - 1)*((1944*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f^2 - 486*c*d^4*(-1/(f^3*(c - d*1i)))^(2/3)*(3^(1/2)*1i - 1)^2*(c^2 + d^2)))/4 - (972*d^4*(c^2 + d^2))/f^3))/16 - (243*c*d^4*(c + d*tan(e + f*x))^(1/3))/f^5)*(3^(1/2)*1i - 1)*(-1/(8*(c*f^3 - d*f^3*1i)))^(1/3))/2 - (log(((-1/(f^3*(c - d*1i)))^(2/3)*(3^(1/2)*1i + 1)^2*(((-1/(f^3*(c - d*1i)))^(1/3)*(3^(1/2)*1i + 1)*((1944*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f^2 - 486*c*d^4*(-1/(f^3*(c - d*1i)))^(2/3)*(3^(1/2)*1i + 1)^2*(c^2 + d^2)))/4 + (972*d^4*(c^2 + d^2))/f^3))/16 - (243*c*d^4*(c + d*tan(e + f*x))^(1/3))/f^5)*(3^(1/2)*1i + 1)*(-1/(8*(c*f^3 - d*f^3*1i)))^(1/3))/2 - log(d^5*f*(c + d*tan(e + f*x))^(1/3)*243i + ((1944*d^4*f^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3) - (3*2^(1/3)*c*d^4*f^6*(3^(1/2)*1i - 1)*(c^2 + d^2)*(-(11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i)/(d^6*f^3*(c^2 + d^2)^2))^(2/3))/2)*(11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i))/(93312*d^6*f^3*(c^2 + d^2)^2))*((3^(1/2)*1i)/2 + 1/2)*(-(f^3*((4*(729*d^8 + 729*c^2*d^6)*(46656*d^10 + 93312*c^2*d^8 + 46656*c^4*d^6))/f^6 - (11664*d^9 + 11664*c^2*d^7)^2/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i)/(93312*f^3*(d^10 + 2*c^2*d^8 + c^4*d^6)))^(1/3) + log(d^5*f*(c + d*tan(e + f*x))^(1/3)*243i + ((1944*d^4*f^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3) + (3*2^(1/3)*c*d^4*f^6*(3^(1/2)*1i + 1)*(c^2 + d^2)*(-(11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i)/(d^6*f^3*(c^2 + d^2)^2))^(2/3))/2)*(11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i))/(93312*d^6*f^3*(c^2 + d^2)^2))*((3^(1/2)*1i)/2 - 1/2)*(-(f^3*((4*(729*d^8 + 729*c^2*d^6)*(46656*d^10 + 93312*c^2*d^8 + 46656*c^4*d^6))/f^6 - (11664*d^9 + 11664*c^2*d^7)^2/f^6)^(1/2) + d^9*11664i + c^2*d^7*11664i)/(93312*f^3*(d^10 + 2*c^2*d^8 + c^4*d^6)))^(1/3) - log(d^5*f*(c + d*tan(e + f*x))^(1/3)*243i + ((1944*d^4*f^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3) - (3*2^(1/3)*c*d^4*f^6*(3^(1/2)*1i - 1)*(c^2 + d^2)*(-(d^9*11664i - 11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + c^2*d^7*11664i)/(d^6*f^3*(c^2 + d^2)^2))^(2/3))/2)*(d^9*11664i - 11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + c^2*d^7*11664i))/(93312*d^6*f^3*(c^2 + d^2)^2))*((3^(1/2)*1i)/2 + 1/2)*(-(d^9*11664i - f^3*((4*(729*d^8 + 729*c^2*d^6)*(46656*d^10 + 93312*c^2*d^8 + 46656*c^4*d^6))/f^6 - (11664*d^9 + 11664*c^2*d^7)^2/f^6)^(1/2) + c^2*d^7*11664i)/(93312*f^3*(d^10 + 2*c^2*d^8 + c^4*d^6)))^(1/3) + log(d^5*f*(c + d*tan(e + f*x))^(1/3)*243i + ((1944*d^4*f^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3) + (3*2^(1/3)*c*d^4*f^6*(3^(1/2)*1i + 1)*(c^2 + d^2)*(-(d^9*11664i - 11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + c^2*d^7*11664i)/(d^6*f^3*(c^2 + d^2)^2))^(2/3))/2)*(d^9*11664i - 11664*f^3*((c^2*d^12*(c^2 + d^2)^2)/f^6)^(1/2) + c^2*d^7*11664i))/(93312*d^6*f^3*(c^2 + d^2)^2))*((3^(1/2)*1i)/2 - 1/2)*(-(d^9*11664i - f^3*((4*(729*d^8 + 729*c^2*d^6)*(46656*d^10 + 93312*c^2*d^8 + 46656*c^4*d^6))/f^6 - (11664*d^9 + 11664*c^2*d^7)^2/f^6)^(1/2) + c^2*d^7*11664i)/(93312*f^3*(d^10 + 2*c^2*d^8 + c^4*d^6)))^(1/3) + (log((((972*d^4*(c^2 + d^2))/f^3 - ((3^(1/2)*1i - 1)*((1944*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f^2 - 1944*c*d^4*(3^(1/2)*1i - 1)^2*(c^2 + d^2)*(-1i/(8*f^3*(c*1i - d)))^(2/3))*(-1i/(8*f^3*(c*1i - d)))^(1/3))/2)*(3^(1/2)*1i - 1)^2*(-1i/(8*f^3*(c*1i - d)))^(2/3))/4 - (243*c*d^4*(c + d*tan(e + f*x))^(1/3))/f^5)*(3^(1/2)*1i - 1)*(-1i/(8*(c*f^3*1i - d*f^3)))^(1/3))/2 - (log((((972*d^4*(c^2 + d^2))/f^3 + ((3^(1/2)*1i + 1)*((1944*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f^2 - 1944*c*d^4*(3^(1/2)*1i + 1)^2*(c^2 + d^2)*(-1i/(8*f^3*(c*1i - d)))^(2/3))*(-1i/(8*f^3*(c*1i - d)))^(1/3))/2)*(3^(1/2)*1i + 1)^2*(-1i/(8*f^3*(c*1i - d)))^(2/3))/4 - (243*c*d^4*(c + d*tan(e + f*x))^(1/3))/f^5)*(3^(1/2)*1i + 1)*(-1i/(8*(c*f^3*1i - d*f^3)))^(1/3))/2","B"
478,1,4308,299,22.173758,"\text{Not used}","int((d - c*tan(e + f*x))/(c + d*tan(e + f*x))^(2/3),x)","\ln\left(\frac{\left(\frac{\left(1944\,c\,d^4\,\left(c^2+d^2\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}+\frac{7776\,c\,d^6\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}-\frac{972\,d^8}{f^3}\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,d^8\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,{\left(\frac{\sqrt{256\,c^2\,d^8\,f^6-d^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}+16\,c\,d^4\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(\frac{\left(1944\,c\,d^4\,\left(c^2+d^2\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}+\frac{7776\,c\,d^6\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}-\frac{972\,d^8}{f^3}\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}-\frac{486\,d^8\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,{\left(-\frac{\sqrt{256\,c^2\,d^8\,f^6-d^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}-16\,c\,d^4\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}+\ln\left(-\frac{486\,c^4\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}-\frac{{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}\,\left(1944\,c\,d^4\,\sqrt{-c^8\,d^2\,f^6}+1944\,c^4\,d^6\,f^3+243\,c^5\,d^4\,f^5\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}-243\,c\,d^8\,f^5\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}\right)}{4\,f^6\,\left(c^2+d^2\right)}\right)\,{\left(\frac{\sqrt{\frac{{\left(16\,c^5\,f^3-16\,c^3\,d^2\,f^3\right)}^2}{4}-c^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}+\ln\left(\frac{{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}\,\left(1944\,c\,d^4\,\sqrt{-c^8\,d^2\,f^6}-1944\,c^4\,d^6\,f^3-243\,c^5\,d^4\,f^5\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}+243\,c\,d^8\,f^5\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}\right)}{4\,f^6\,\left(c^2+d^2\right)}-\frac{486\,c^4\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,{\left(-\frac{\sqrt{\frac{{\left(16\,c^5\,f^3-16\,c^3\,d^2\,f^3\right)}^2}{4}-c^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(972\,c\,d^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(c^2+d^2\right)\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}+\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}\right)\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{32}-\frac{972\,c^4\,d^4}{f^3}\right)\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{8}-\frac{486\,c^4\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,\left(-\frac{{\left(\frac{\sqrt{-256\,c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,{\left(\frac{\sqrt{-256\,c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6}\right)}^{1/3}\,1{}\mathrm{i}}{2}\right)+\ln\left(\frac{\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(972\,c\,d^4\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}+\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}\right)\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{32}-\frac{972\,c^4\,d^4}{f^3}\right)\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{8}-\frac{486\,c^4\,d^4\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f^4}\right)\,\left(-\frac{{\left(-\frac{\sqrt{-256\,c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6}\right)}^{1/3}}{2}+\frac{\sqrt{3}\,{\left(-\frac{\sqrt{-256\,c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6}\right)}^{1/3}\,1{}\mathrm{i}}{2}\right)+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,d^8}{f^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{7776\,c\,d^6\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+1944\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}+\frac{486\,d^8\,{\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{\sqrt{256\,c^2\,d^8\,f^6-d^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}+16\,c\,d^4\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}-\ln\left(\frac{486\,d^8\,{\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\,d^8}{f^3}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{7776\,c\,d^6\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-1944\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}+16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(\frac{\sqrt{256\,c^2\,d^8\,f^6-d^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}+16\,c\,d^4\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}+\ln\left(\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{972\,d^8}{f^3}+\frac{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{7776\,c\,d^6\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}+1944\,c\,d^4\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}+\frac{486\,d^8\,{\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{\sqrt{256\,c^2\,d^8\,f^6-d^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}-16\,c\,d^4\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}-\ln\left(\frac{486\,d^8\,{\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\,d^8}{f^3}-\frac{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{7776\,c\,d^6\,{\left(c+d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}}{f}-1944\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}\right)\,{\left(-\frac{8\,\sqrt{-d^6\,f^6\,{\left(c^2-d^2\right)}^2}-16\,c\,d^4\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(-\frac{\sqrt{256\,c^2\,d^8\,f^6-d^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}-16\,c\,d^4\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\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(1944\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}-\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}\right)\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}-\frac{972\,c^4\,d^4}{f^3}\right)\,{\left(\frac{16\,\sqrt{-c^8\,d^2\,f^6}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}+\frac{486\,c^4\,d^4\,{\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{\sqrt{\frac{{\left(16\,c^5\,f^3-16\,c^3\,d^2\,f^3\right)}^2}{4}-c^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}-8\,c^5\,f^3+8\,c^3\,d^2\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\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(1944\,c\,d^4\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(c^2+d^2\right)\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}-\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}\right)\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{2/3}}{16}-\frac{972\,c^4\,d^4}{f^3}\right)\,{\left(-\frac{16\,\sqrt{-c^8\,d^2\,f^6}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{f^6\,{\left(c^2+d^2\right)}^2}\right)}^{1/3}}{4}+\frac{486\,c^4\,d^4\,{\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{\sqrt{\frac{{\left(16\,c^5\,f^3-16\,c^3\,d^2\,f^3\right)}^2}{4}-c^6\,\left(64\,c^4\,f^6+128\,c^2\,d^2\,f^6+64\,d^4\,f^6\right)}+8\,c^5\,f^3-8\,c^3\,d^2\,f^3}{64\,\left(c^4\,f^6+2\,c^2\,d^2\,f^6+d^4\,f^6\right)}\right)}^{1/3}","Not used",1,"log(((((1944*c*d^4*(c^2 + d^2)*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3) + (7776*c*d^6*(c + d*tan(e + f*x))^(1/3))/f)*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16 - (972*d^8)/f^3)*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4 - (486*d^8*(c + d*tan(e + f*x))^(1/3))/f^4)*(((256*c^2*d^8*f^6 - d^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) + 16*c*d^4*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) + log(((((1944*c*d^4*(c^2 + d^2)*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3) + (7776*c*d^6*(c + d*tan(e + f*x))^(1/3))/f)*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16 - (972*d^8)/f^3)*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4 - (486*d^8*(c + d*tan(e + f*x))^(1/3))/f^4)*(-((256*c^2*d^8*f^6 - d^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) - 16*c*d^4*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) + log(- (486*c^4*d^4*(c + d*tan(e + f*x))^(1/3))/f^4 - (((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3)*(1944*c*d^4*(-c^8*d^2*f^6)^(1/2) + 1944*c^4*d^6*f^3 + 243*c^5*d^4*f^5*(c + d*tan(e + f*x))^(1/3)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3) - 243*c*d^8*f^5*(c + d*tan(e + f*x))^(1/3)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3)))/(4*f^6*(c^2 + d^2)))*((((16*c^5*f^3 - 16*c^3*d^2*f^3)^2/4 - c^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) + log(((-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3)*(1944*c*d^4*(-c^8*d^2*f^6)^(1/2) - 1944*c^4*d^6*f^3 - 243*c^5*d^4*f^5*(c + d*tan(e + f*x))^(1/3)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3) + 243*c*d^8*f^5*(c + d*tan(e + f*x))^(1/3)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3)))/(4*f^6*(c^2 + d^2)) - (486*c^4*d^4*(c + d*tan(e + f*x))^(1/3))/f^4)*(-(((16*c^5*f^3 - 16*c^3*d^2*f^3)^2/4 - c^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) + log(((3^(1/2)*1i - 1)*(((3^(1/2)*1i + 1)*(972*c*d^4*(3^(1/2)*1i - 1)*(c^2 + d^2)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3) + (3888*c*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/32 - (972*c^4*d^4)/f^3)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/8 - (486*c^4*d^4*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*(((-256*c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/3)*1i)/2 - (((-256*c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/3)/2) + log(((3^(1/2)*1i - 1)*(((3^(1/2)*1i + 1)*(972*c*d^4*(3^(1/2)*1i - 1)*(c^2 + d^2)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3) + (3888*c*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/32 - (972*c^4*d^4)/f^3)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/8 - (486*c^4*d^4*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*(-((-256*c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/3)*1i)/2 - (-((-256*c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/3)/2) + log((((3^(1/2)*1i)/2 - 1/2)*((972*d^8)/f^3 + (((3^(1/2)*1i)/2 + 1/2)*((7776*c*d^6*(c + d*tan(e + f*x))^(1/3))/f + 1944*c*d^4*((3^(1/2)*1i)/2 - 1/2)*(c^2 + d^2)*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16)*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4 + (486*d^8*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 - 1/2)*(((256*c^2*d^8*f^6 - d^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) + 16*c*d^4*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) - log((486*d^8*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 + 1/2)*((972*d^8)/f^3 - (((3^(1/2)*1i)/2 - 1/2)*((7776*c*d^6*(c + d*tan(e + f*x))^(1/3))/f - 1944*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(c^2 + d^2)*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16)*((8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) + 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4)*((3^(1/2)*1i)/2 + 1/2)*(((256*c^2*d^8*f^6 - d^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) + 16*c*d^4*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) + log((((3^(1/2)*1i)/2 - 1/2)*((972*d^8)/f^3 + (((3^(1/2)*1i)/2 + 1/2)*((7776*c*d^6*(c + d*tan(e + f*x))^(1/3))/f + 1944*c*d^4*((3^(1/2)*1i)/2 - 1/2)*(c^2 + d^2)*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16)*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4 + (486*d^8*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 - 1/2)*(-((256*c^2*d^8*f^6 - d^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) - 16*c*d^4*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) - log((486*d^8*(c + d*tan(e + f*x))^(1/3))/f^4 - (((3^(1/2)*1i)/2 + 1/2)*((972*d^8)/f^3 - (((3^(1/2)*1i)/2 - 1/2)*((7776*c*d^6*(c + d*tan(e + f*x))^(1/3))/f - 1944*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(c^2 + d^2)*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16)*(-(8*(-d^6*f^6*(c^2 - d^2)^2)^(1/2) - 16*c*d^4*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4)*((3^(1/2)*1i)/2 + 1/2)*(-((256*c^2*d^8*f^6 - d^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) - 16*c*d^4*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(1944*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(c^2 + d^2)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3) - (3888*c*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16 - (972*c^4*d^4)/f^3)*((16*(-c^8*d^2*f^6)^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4 + (486*c^4*d^4*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*((((16*c^5*f^3 - 16*c^3*d^2*f^3)^2/4 - c^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) - 8*c^5*f^3 + 8*c^3*d^2*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3) - log((((3^(1/2)*1i)/2 + 1/2)*((((3^(1/2)*1i)/2 - 1/2)*(1944*c*d^4*((3^(1/2)*1i)/2 + 1/2)*(c^2 + d^2)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3) - (3888*c*d^4*(c^2 - d^2)*(c + d*tan(e + f*x))^(1/3))/f)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(2/3))/16 - (972*c^4*d^4)/f^3)*(-(16*(-c^8*d^2*f^6)^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(f^6*(c^2 + d^2)^2))^(1/3))/4 + (486*c^4*d^4*(c + d*tan(e + f*x))^(1/3))/f^4)*((3^(1/2)*1i)/2 + 1/2)*(-(((16*c^5*f^3 - 16*c^3*d^2*f^3)^2/4 - c^6*(64*c^4*f^6 + 64*d^4*f^6 + 128*c^2*d^2*f^6))^(1/2) + 8*c^5*f^3 - 8*c^3*d^2*f^3)/(64*(c^4*f^6 + d^4*f^6 + 2*c^2*d^2*f^6)))^(1/3)","B"
479,0,-1,403,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^4 \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^4, x)","F"
480,0,-1,267,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^3, x)","F"
481,0,-1,194,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^2, x)","F"
482,0,-1,127,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right) \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)), x)","F"
483,0,-1,185,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{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)))/(a + b*tan(c + d*x)), x)","F"
484,0,-1,282,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2,x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^2} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^2, x)","F"
485,0,-1,438,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^3} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3, x)","F"
486,0,-1,659,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4,x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^4} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^4, x)","F"
487,0,-1,193,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2), x)","F"
488,0,-1,189,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
489,0,-1,187,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2), x)","F"
490,0,-1,187,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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)))/(a + b*tan(c + d*x))^(1/2), x)","F"
491,0,-1,193,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(3/2), x)","F"
492,0,-1,193,0.000000,"\text{Not used}","int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2),x)","\int \frac{{\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((tan(c + d*x)^m*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(5/2), x)","F"
493,0,-1,183,0.000000,"\text{Not used}","int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{tan}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(tan(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^n, x)","F"
494,0,-1,387,0.000000,"\text{Not used}","int(tan(c + d*x)^4*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
495,0,-1,291,0.000000,"\text{Not used}","int(tan(c + d*x)^3*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
496,0,-1,219,0.000000,"\text{Not used}","int(tan(c + d*x)^2*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
497,0,-1,168,0.000000,"\text{Not used}","int(tan(c + d*x)*(A + B*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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
498,0,-1,143,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^n,x)","\int \left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^n, x)","F"
499,0,-1,190,0.000000,"\text{Not used}","int(cot(c + d*x)*(A + B*tan(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
500,0,-1,228,0.000000,"\text{Not used}","int(cot(c + d*x)^2*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
501,0,-1,292,0.000000,"\text{Not used}","int(cot(c + d*x)^3*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
502,0,-1,103,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i), x)","F"
503,0,-1,78,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i), x)","F"
504,0,-1,53,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i), x)","F"
505,0,-1,55,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i), x)","F"
506,0,-1,80,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/cot(c + d*x)^(1/2), x)","F"
507,0,-1,105,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/cot(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i))/cot(c + d*x)^(3/2), x)","F"
508,0,-1,128,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2, x)","F"
509,0,-1,103,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2, x)","F"
510,0,-1,99,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2, x)","F"
511,0,-1,105,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2, x)","F"
512,0,-1,130,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2)/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^2)/cot(c + d*x)^(1/2), x)","F"
513,0,-1,171,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(9/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3, x)","F"
514,0,-1,146,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3, x)","F"
515,0,-1,138,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3, x)","F"
516,0,-1,142,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3, x)","F"
517,0,-1,148,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3, x)","F"
518,0,-1,173,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3)/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^3)/cot(c + d*x)^(1/2), x)","F"
519,0,-1,297,0.000000,"\text{Not used}","int((cot(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i), x)","F"
520,0,-1,268,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i), x)","F"
521,0,-1,235,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i), x)","F"
522,0,-1,237,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)), x)","F"
523,0,-1,276,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)), x)","F"
524,0,-1,307,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)), x)","F"
525,0,-1,317,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2, x)","F"
526,0,-1,284,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^2, x)","F"
527,0,-1,274,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
528,0,-1,284,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
529,0,-1,319,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
530,0,-1,367,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3, x)","F"
531,0,-1,318,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^3, x)","F"
532,0,-1,316,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
533,0,-1,308,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
534,0,-1,310,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
535,0,-1,367,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(7/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
536,0,-1,198,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
537,0,-1,155,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
538,0,-1,110,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
539,0,-1,152,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
540,0,-1,192,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(1/2))/cot(c + d*x)^(1/2), x)","F"
541,0,-1,245,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(9/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
542,0,-1,201,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
543,0,-1,157,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
544,0,-1,186,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
545,0,-1,196,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
546,0,-1,244,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(3/2))/cot(c + d*x)^(1/2), x)","F"
547,0,-1,297,0.000000,"\text{Not used}","int(cot(c + d*x)^(11/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{11/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(11/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
548,0,-1,251,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(9/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
549,0,-1,205,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(7/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
550,0,-1,230,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
551,0,-1,236,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
552,0,-1,246,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
553,0,-1,292,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^(5/2))/cot(c + d*x)^(1/2), x)","F"
554,0,-1,211,0.000000,"\text{Not used}","int((cot(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
555,0,-1,163,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
556,0,-1,119,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
557,0,-1,196,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
558,0,-1,214,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(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)}{{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
559,0,-1,168,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
560,0,-1,170,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
561,0,-1,243,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
562,0,-1,260,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(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)}{{\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
563,0,-1,214,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x)))/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
564,0,-1,216,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
565,0,-1,214,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
566,0,-1,289,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
567,0,-1,179,0.000000,"\text{Not used}","int(cot(c + d*x)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^m*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
568,0,-1,247,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(5/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
569,0,-1,194,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)^(3/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
570,0,-1,158,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n,x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n, x)","F"
571,0,-1,215,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/cot(c + d*x)^(1/2), x)","F"
572,0,-1,291,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/cot(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\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 + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/cot(c + d*x)^(3/2), x)","F"
573,0,-1,383,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/cot(c + d*x)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + a*tan(c + d*x)*1i)^n)/cot(c + d*x)^(5/2), x)","F"
574,0,-1,229,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(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)\,\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))*(a + b*tan(c + d*x)), x)","F"
575,0,-1,205,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,\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))*(a + b*tan(c + d*x)), x)","F"
576,0,-1,205,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right) \,d x","Not used",1,"int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x)), x)","F"
577,0,-1,229,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x)))/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}} \,d x","Not used",1,"int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x)))/cot(c + d*x)^(1/2), x)","F"
578,0,-1,326,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^2, x)","F"
579,0,-1,294,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^2, x)","F"
580,0,-1,276,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^2, x)","F"
581,0,-1,283,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^2, x)","F"
582,0,-1,317,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^2)/cot(c + d*x)^(1/2), x)","F"
583,0,-1,421,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^3, x)","F"
584,0,-1,380,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^3, x)","F"
585,0,-1,374,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^3, x)","F"
586,0,-1,372,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^3, x)","F"
587,0,-1,380,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^3, x)","F"
588,0,-1,421,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^3)/cot(c + d*x)^(1/2), x)","F"
589,0,-1,325,0.000000,"\text{Not used}","int((cot(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{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)))/(a + b*tan(c + d*x)), x)","F"
590,0,-1,297,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{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)))/(a + b*tan(c + d*x)), x)","F"
591,0,-1,278,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)))/(a + b*tan(c + d*x)), x)","F"
592,0,-1,278,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))), x)","F"
593,0,-1,297,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))), x)","F"
594,0,-1,325,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))), x)","F"
595,0,-1,438,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^2, x)","F"
596,0,-1,392,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^2, x)","F"
597,0,-1,390,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^2), x)","F"
598,0,-1,392,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^2), x)","F"
599,0,-1,437,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^2), x)","F"
600,-1,-1,601,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
601,0,-1,534,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^3, x)","F"
602,0,-1,534,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^3), x)","F"
603,0,-1,530,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^3), x)","F"
604,0,-1,534,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^3), x)","F"
605,0,-1,600,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^3),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(7/2)*(a + b*tan(c + d*x))^3), x)","F"
606,1,64,156,9.987571,"\text{Not used}","int((cot(c + d*x)^(5/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)}{d}-\frac{2\,B\,{\left(\frac{1}{\mathrm{tan}\left(c+d\,x\right)}\right)}^{3/2}}{3\,d}-\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)}{d}","Not used",1,"((-1)^(1/4)*B*atan((-1)^(1/4)*(1/tan(c + d*x))^(1/2)))/d - (2*B*(1/tan(c + d*x))^(3/2))/(3*d) - ((-1)^(1/4)*B*atanh((-1)^(1/4)*(1/tan(c + d*x))^(1/2)))/d","B"
607,1,65,154,9.400932,"\text{Not used}","int((cot(c + d*x)^(3/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\frac{2\,B\,\sqrt{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}}{d}-\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\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{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"- (2*B*(1/tan(c + d*x))^(1/2))/d - ((-1)^(1/4)*B*atan((-1)^(1/4)*(1/tan(c + d*x))^(1/2))*1i)/d - ((-1)^(1/4)*B*atanh((-1)^(1/4)*(1/tan(c + d*x))^(1/2))*1i)/d","B"
608,1,42,138,8.893270,"\text{Not used}","int((cot(c + d*x)^(1/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x)),x)","-\frac{{\left(-1\right)}^{1/4}\,B\,\left(\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)-\mathrm{atanh}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)\right)}{d}","Not used",1,"-((-1)^(1/4)*B*(atan((-1)^(1/4)*(1/tan(c + d*x))^(1/2)) - atanh((-1)^(1/4)*(1/tan(c + d*x))^(1/2))))/d","B"
609,1,47,138,8.955105,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))),x)","\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\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{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"((-1)^(1/4)*B*atan((-1)^(1/4)*(1/tan(c + d*x))^(1/2))*1i)/d + ((-1)^(1/4)*B*atanh((-1)^(1/4)*(1/tan(c + d*x))^(1/2))*1i)/d","B"
610,1,64,154,8.982672,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))),x)","\frac{2\,B}{d\,\sqrt{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}}+\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\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{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)}{d}","Not used",1,"(2*B)/(d*(1/tan(c + d*x))^(1/2)) + ((-1)^(1/4)*B*atan((-1)^(1/4)*(1/tan(c + d*x))^(1/2)))/d - ((-1)^(1/4)*B*atanh((-1)^(1/4)*(1/tan(c + d*x))^(1/2)))/d","B"
611,1,65,156,9.490067,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))),x)","\frac{2\,B}{3\,d\,{\left(\frac{1}{\mathrm{tan}\left(c+d\,x\right)}\right)}^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,B\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{\frac{1}{\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{\frac{1}{\mathrm{tan}\left(c+d\,x\right)}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2*B)/(3*d*(1/tan(c + d*x))^(3/2)) - ((-1)^(1/4)*B*atan((-1)^(1/4)*(1/tan(c + d*x))^(1/2))*1i)/d - ((-1)^(1/4)*B*atanh((-1)^(1/4)*(1/tan(c + d*x))^(1/2))*1i)/d","B"
612,0,-1,354,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{9/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)} \,d x","Not used",1,"int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2), x)","F"
613,0,-1,290,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2), x)","F"
614,0,-1,239,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2), x)","F"
615,0,-1,194,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2), x)","F"
616,0,-1,229,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2),x)","\int \sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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))*(a + b*tan(c + d*x))^(1/2), x)","F"
617,0,-1,261,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/cot(c + d*x)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2))/cot(c + d*x)^(1/2), x)","F"
618,0,-1,324,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(1/2))/cot(c + d*x)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,\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))*(a + b*tan(c + d*x))^(1/2))/cot(c + d*x)^(3/2), x)","F"
619,0,-1,422,0.000000,"\text{Not used}","int(cot(c + d*x)^(11/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{11/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cot(c + d*x)^(11/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(3/2), x)","F"
620,0,-1,351,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
621,0,-1,299,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
622,0,-1,236,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
623,0,-1,269,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
624,0,-1,264,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2), x)","F"
625,0,-1,328,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2))/cot(c + d*x)^(1/2), x)","F"
626,0,-1,383,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(3/2))/cot(c + d*x)^(3/2), x)","F"
627,0,-1,500,0.000000,"\text{Not used}","int(cot(c + d*x)^(13/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2),x)","\int {\mathrm{cot}\left(c+d\,x\right)}^{13/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cot(c + d*x)^(13/2)*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^(5/2), x)","F"
628,0,-1,418,0.000000,"\text{Not used}","int(cot(c + d*x)^(11/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
629,0,-1,349,0.000000,"\text{Not used}","int(cot(c + d*x)^(9/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
630,0,-1,287,0.000000,"\text{Not used}","int(cot(c + d*x)^(7/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
631,0,-1,300,0.000000,"\text{Not used}","int(cot(c + d*x)^(5/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
632,0,-1,301,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
633,0,-1,320,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2), x)","F"
634,0,-1,376,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2))/cot(c + d*x)^(1/2), x)","F"
635,0,-1,457,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^(5/2))/cot(c + d*x)^(3/2), x)","F"
636,0,-1,296,0.000000,"\text{Not used}","int((cot(c + d*x)^(7/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{7/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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)))/(a + b*tan(c + d*x))^(1/2), x)","F"
637,0,-1,243,0.000000,"\text{Not used}","int((cot(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{5/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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)))/(a + b*tan(c + d*x))^(1/2), x)","F"
638,0,-1,199,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{{\mathrm{cot}\left(c+d\,x\right)}^{3/2}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)}{\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)))/(a + b*tan(c + d*x))^(1/2), x)","F"
639,0,-1,163,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(a + b*tan(c + d*x))^(1/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\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)))/(a + b*tan(c + d*x))^(1/2), x)","F"
640,0,-1,228,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\sqrt{a+b\,\mathrm{tan}\left(c+d\,x\right)}} \,d x","Not used",1,"int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
641,0,-1,266,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(1/2)), x)","F"
642,0,-1,316,0.000000,"\text{Not used}","int((cot(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(3/2), x)","F"
643,0,-1,256,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(3/2), x)","F"
644,0,-1,215,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(3/2), x)","F"
645,0,-1,210,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
646,0,-1,279,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(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}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
647,0,-1,399,0.000000,"\text{Not used}","int((cot(c + d*x)^(5/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(5/2), x)","F"
648,0,-1,341,0.000000,"\text{Not used}","int((cot(c + d*x)^(3/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(5/2), x)","F"
649,0,-1,287,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(A + B*tan(c + d*x)))/(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)}{{\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)))/(a + b*tan(c + d*x))^(5/2), x)","F"
650,0,-1,284,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
651,0,-1,284,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)),x)","\int \frac{A+B\,\mathrm{tan}\left(c+d\,x\right)}{{\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((A + B*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
652,0,-1,342,0.000000,"\text{Not used}","int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(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}\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((A + B*tan(c + d*x))/(cot(c + d*x)^(5/2)*(a + b*tan(c + d*x))^(5/2)), x)","F"
653,0,-1,151,0.000000,"\text{Not used}","int((cot(c + d*x)^(1/2)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2),x)","\int \frac{\sqrt{\mathrm{cot}\left(c+d\,x\right)}\,\left(B\,a+B\,b\,\mathrm{tan}\left(c+d\,x\right)\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)*(B*a + B*b*tan(c + d*x)))/(a + b*tan(c + d*x))^(3/2), x)","F"
654,0,-1,157,0.000000,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{B\,a+B\,b\,\mathrm{tan}\left(c+d\,x\right)}{\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((B*a + B*b*tan(c + d*x))/(cot(c + d*x)^(1/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
655,0,-1,215,0.000000,"\text{Not used}","int((B*a + B*b*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)),x)","\int \frac{B\,a+B\,b\,\mathrm{tan}\left(c+d\,x\right)}{{\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((B*a + B*b*tan(c + d*x))/(cot(c + d*x)^(3/2)*(a + b*tan(c + d*x))^(3/2)), x)","F"
656,0,-1,195,0.000000,"\text{Not used}","int(cot(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^n,x)","\int {\mathrm{cot}\left(c+d\,x\right)}^m\,\left(A+B\,\mathrm{tan}\left(c+d\,x\right)\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cot(c + d*x)^m*(A + B*tan(c + d*x))*(a + b*tan(c + d*x))^n, x)","F"
657,0,-1,169,0.000000,"\text{Not used}","int(cot(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
658,0,-1,167,0.000000,"\text{Not used}","int(cot(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
659,0,-1,173,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n)/cot(c + d*x)^(1/2), x)","F"
660,0,-1,173,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n)/cot(c + d*x)^(3/2), x)","F"
661,0,-1,173,0.000000,"\text{Not used}","int(tan(c + d*x)^(3/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
662,0,-1,173,0.000000,"\text{Not used}","int(tan(c + d*x)^(1/2)*(A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n, x)","F"
663,0,-1,167,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n)/tan(c + d*x)^(1/2), x)","F"
664,0,-1,169,0.000000,"\text{Not used}","int(((A + B*tan(c + d*x))*(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)\,{\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))*(a + b*tan(c + d*x))^n)/tan(c + d*x)^(3/2), x)","F"
665,1,128,63,1.109296,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^n,x)","-\frac{\left(\cos\left(e+f\,x\right)-\sin\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,{\left(c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}\right)}^n\,\left(\frac{a\,\left(A-B\,1{}\mathrm{i}+A\,n+B\,n\,1{}\mathrm{i}\right)}{f\,n\,\left(n\,1{}\mathrm{i}+1{}\mathrm{i}\right)}+\frac{a\,\left(A-B\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,e+2\,f\,x\right)+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(n+1\right)}{f\,n\,\left(n\,1{}\mathrm{i}+1{}\mathrm{i}\right)}\right)}{2\,\cos\left(e+f\,x\right)}","Not used",1,"-((cos(e + f*x) - sin(e + f*x)*1i)*(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^n*((a*(A - B*1i + A*n + B*n*1i))/(f*n*(n*1i + 1i)) + (a*(A - B*1i)*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i)*(n + 1))/(f*n*(n*1i + 1i))))/(2*cos(e + f*x))","B"
666,1,100,59,8.504549,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^4,x)","\frac{\frac{1{}\mathrm{i}\,B\,a\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^5}{5}+\frac{1{}\mathrm{i}\,a\,\left(A+B\,3{}\mathrm{i}\right)\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4}+1{}\mathrm{i}\,a\,\left(-B+A\,1{}\mathrm{i}\right)\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^3-\frac{1{}\mathrm{i}\,a\,\left(3\,A+B\,1{}\mathrm{i}\right)\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2}+A\,a\,c^4\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"(A*a*c^4*tan(e + f*x) + (a*c^4*tan(e + f*x)^4*(A + B*3i)*1i)/4 + (B*a*c^4*tan(e + f*x)^5*1i)/5 + a*c^4*tan(e + f*x)^3*(A*1i - B)*1i - (a*c^4*tan(e + f*x)^2*(3*A + B*1i)*1i)/2)/f","B"
667,1,76,59,8.472266,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^3,x)","-\frac{\frac{B\,a\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4}+\frac{a\,\left(A+B\,2{}\mathrm{i}\right)\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}+\frac{a\,\left(-B+A\,2{}\mathrm{i}\right)\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2}-A\,a\,c^3\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"-((a*c^3*tan(e + f*x)^3*(A + B*2i))/3 - A*a*c^3*tan(e + f*x) + (B*a*c^3*tan(e + f*x)^4)/4 + (a*c^3*tan(e + f*x)^2*(A*2i - B))/2)/f","B"
668,1,50,66,8.566307,"\text{Not used}","int((A + B*tan(e + f*x))*(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(6\,A-A\,\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+3\,B\,\mathrm{tan}\left(e+f\,x\right)-B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,2{}\mathrm{i}\right)}{6\,f}","Not used",1,"(a*c^2*tan(e + f*x)*(6*A - A*tan(e + f*x)*3i + 3*B*tan(e + f*x) - B*tan(e + f*x)^2*2i))/(6*f)","B"
669,1,25,32,8.418632,"\text{Not used}","int((A + B*tan(e + f*x))*(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)\,\left(2\,A+B\,\mathrm{tan}\left(e+f\,x\right)\right)}{2\,f}","Not used",1,"(a*c*tan(e + f*x)*(2*A + B*tan(e + f*x)))/(2*f)","B"
670,1,38,46,8.469171,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(B\,a+A\,a\,1{}\mathrm{i}\right)}{f}+\frac{B\,a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{f}","Not used",1,"(log(tan(e + f*x) + 1i)*(A*a*1i + B*a))/f + (B*a*tan(e + f*x)*1i)/f","B"
671,1,51,54,8.569705,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i))/(c - c*tan(e + f*x)*1i),x)","\frac{\frac{A\,a}{c}-\frac{B\,a\,1{}\mathrm{i}}{c}}{f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{B\,a\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}{c\,f}","Not used",1,"((A*a)/c - (B*a*1i)/c)/(f*(tan(e + f*x) + 1i)) - (B*a*log(tan(e + f*x) + 1i))/(c*f)","B"
672,1,51,46,8.487564,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i))/(c - c*tan(e + f*x)*1i)^2,x)","\frac{\frac{a\,\left(-B+A\,1{}\mathrm{i}\right)}{2}+B\,a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\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)}","Not used",1,"((a*(A*1i - B))/2 + B*a*tan(e + f*x)*1i)/(c^2*f*(tan(e + f*x)*2i + tan(e + f*x)^2 - 1))","B"
673,1,63,55,8.633990,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i))/(c - c*tan(e + f*x)*1i)^3,x)","\frac{\frac{a\,\left(2\,A+B\,1{}\mathrm{i}\right)}{6}+\frac{B\,a\,\mathrm{tan}\left(e+f\,x\right)}{2}}{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*A + B*1i))/6 + (B*a*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))","B"
674,1,73,57,8.665082,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i))/(c - c*tan(e + f*x)*1i)^4,x)","-\frac{\frac{a\,\left(-B+A\,3{}\mathrm{i}\right)}{12}+\frac{B\,a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{3}}{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*(A*3i - B))/12 + (B*a*tan(e + f*x)*1i)/3)/(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"
675,1,82,55,8.600494,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i))/(c - c*tan(e + f*x)*1i)^5,x)","\frac{\frac{a\,\left(4\,A+B\,1{}\mathrm{i}\right)}{20}+\frac{B\,a\,\mathrm{tan}\left(e+f\,x\right)}{4}}{c^5\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5+{\mathrm{tan}\left(e+f\,x\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"((a*(4*A + B*1i))/20 + (B*a*tan(e + f*x))/4)/(c^5*f*(5*tan(e + f*x) - tan(e + f*x)^2*10i - 10*tan(e + f*x)^3 + tan(e + f*x)^4*5i + tan(e + f*x)^5 + 1i))","B"
676,1,193,109,11.375017,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^n,x)","-\frac{{\mathrm{e}}^{-e\,2{}\mathrm{i}-f\,x\,2{}\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{2\,a^2\,\left(2\,A-B\,2{}\mathrm{i}+A\,n+B\,n\,1{}\mathrm{i}\right)}{f\,n\,\left(n^2\,1{}\mathrm{i}+n\,3{}\mathrm{i}+2{}\mathrm{i}\right)}+\frac{2\,a^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,\left(n^2+3\,n+2\right)}{f\,n\,\left(n^2\,1{}\mathrm{i}+n\,3{}\mathrm{i}+2{}\mathrm{i}\right)}+\frac{2\,a^2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(n+2\right)\,\left(2\,A-B\,2{}\mathrm{i}+A\,n+B\,n\,1{}\mathrm{i}\right)}{f\,n\,\left(n^2\,1{}\mathrm{i}+n\,3{}\mathrm{i}+2{}\mathrm{i}\right)}\right)}{4\,{\cos\left(e+f\,x\right)}^2}","Not used",1,"-(exp(- e*2i - f*x*2i)*(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^n*((2*a^2*(2*A - B*2i + A*n + B*n*1i))/(f*n*(n*3i + n^2*1i + 2i)) + (2*a^2*exp(e*4i + f*x*4i)*(A - B*1i)*(3*n + n^2 + 2))/(f*n*(n*3i + n^2*1i + 2i)) + (2*a^2*exp(e*2i + f*x*2i)*(n + 2)*(2*A - B*2i + A*n + B*n*1i))/(f*n*(n*3i + n^2*1i + 2i))))/(4*cos(e + f*x)^2)","B"
677,1,158,99,8.678271,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^5,x)","\frac{A\,a^2\,c^5\,\mathrm{tan}\left(e+f\,x\right)+\frac{a^2\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-3\,B+A\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\frac{a^2\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(-2\,B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{5}-\frac{a^2\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{a^2\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^2\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(A+B\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{6}+\frac{B\,a^2\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^7\,1{}\mathrm{i}}{7}}{f}","Not used",1,"((a^2*c^5*tan(e + f*x)^3*(A*2i - 3*B)*1i)/3 - (a^2*c^5*tan(e + f*x)^2*(3*A + B*1i)*1i)/2 + (a^2*c^5*tan(e + f*x)^5*(A*3i - 2*B)*1i)/5 + A*a^2*c^5*tan(e + f*x) - (a^2*c^5*tan(e + f*x)^4*(A - B*1i)*1i)/2 + (a^2*c^5*tan(e + f*x)^6*(A + B*3i)*1i)/6 + (B*a^2*c^5*tan(e + f*x)^7*1i)/7)/f","B"
678,1,120,99,8.595371,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^4,x)","-\frac{\frac{a^2\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-B+A\,2{}\mathrm{i}\right)}{2}-A\,a^2\,c^4\,\mathrm{tan}\left(e+f\,x\right)+\frac{a^2\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(A+B\,2{}\mathrm{i}\right)}{5}+\frac{B\,a^2\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^6}{6}+\frac{A\,a^2\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}}{2}+\frac{B\,a^2\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^3\,2{}\mathrm{i}}{3}}{f}","Not used",1,"-((a^2*c^4*tan(e + f*x)^2*(A*2i - B))/2 - A*a^2*c^4*tan(e + f*x) + (A*a^2*c^4*tan(e + f*x)^4*1i)/2 + (a^2*c^4*tan(e + f*x)^5*(A + B*2i))/5 + (B*a^2*c^4*tan(e + f*x)^3*2i)/3 + (B*a^2*c^4*tan(e + f*x)^6)/6)/f","B"
679,1,108,99,9.019454,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^3,x)","-\frac{-A\,a^2\,c^3\,\mathrm{tan}\left(e+f\,x\right)+\frac{a^2\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^2\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\frac{a^2\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\frac{B\,a^2\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^5\,1{}\mathrm{i}}{5}}{f}","Not used",1,"-((a^2*c^3*tan(e + f*x)^2*(A + B*1i)*1i)/2 - A*a^2*c^3*tan(e + f*x) + (a^2*c^3*tan(e + f*x)^3*(A*1i + B)*1i)/3 + (a^2*c^3*tan(e + f*x)^4*(A + B*1i)*1i)/4 + (B*a^2*c^3*tan(e + f*x)^5*1i)/5)/f","B"
680,1,82,62,8.492772,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^2,x)","\frac{a^2\,c^2\,\sin\left(e+f\,x\right)\,\left(12\,A\,{\cos\left(e+f\,x\right)}^3+6\,B\,{\cos\left(e+f\,x\right)}^2\,\sin\left(e+f\,x\right)+4\,A\,\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^2+3\,B\,{\sin\left(e+f\,x\right)}^3\right)}{12\,f\,{\cos\left(e+f\,x\right)}^4}","Not used",1,"(a^2*c^2*sin(e + f*x)*(12*A*cos(e + f*x)^3 + 3*B*sin(e + f*x)^3 + 4*A*cos(e + f*x)*sin(e + f*x)^2 + 6*B*cos(e + f*x)^2*sin(e + f*x)))/(12*f*cos(e + f*x)^4)","B"
681,1,50,64,8.534719,"\text{Not used}","int((A + B*tan(e + f*x))*(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(6\,A+A\,\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+3\,B\,\mathrm{tan}\left(e+f\,x\right)+B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,2{}\mathrm{i}\right)}{6\,f}","Not used",1,"(a^2*c*tan(e + f*x)*(6*A + A*tan(e + f*x)*3i + 3*B*tan(e + f*x) + B*tan(e + f*x)^2*2i))/(6*f)","B"
682,1,76,80,8.541693,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(2\,B\,a^2+A\,a^2\,2{}\mathrm{i}\right)}{f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(a^2\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+B\,a^2\,1{}\mathrm{i}\right)}{f}-\frac{B\,a^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,f}","Not used",1,"(log(tan(e + f*x) + 1i)*(A*a^2*2i + 2*B*a^2))/f + (tan(e + f*x)*(a^2*(A*1i + B)*1i + B*a^2*1i))/f - (B*a^2*tan(e + f*x)^2)/(2*f)","B"
683,1,105,93,8.660488,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i),x)","-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{3\,B\,a^2}{c}+\frac{A\,a^2\,1{}\mathrm{i}}{c}\right)}{f}+\frac{\frac{A\,a^2+B\,a^2\,1{}\mathrm{i}}{c}+\frac{A\,a^2-B\,a^2\,3{}\mathrm{i}}{c}}{f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{B\,a^2\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{c\,f}","Not used",1,"((A*a^2 + B*a^2*1i)/c + (A*a^2 - B*a^2*3i)/c)/(f*(tan(e + f*x) + 1i)) - (log(tan(e + f*x) + 1i)*((A*a^2*1i)/c + (3*B*a^2)/c))/f - (B*a^2*tan(e + f*x)*1i)/(c*f)","B"
684,1,104,91,8.706784,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i)^2,x)","-\frac{a^2\,\left(B\,2{}\mathrm{i}+A\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}+3\,B\,\mathrm{tan}\left(e+f\,x\right)+B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}+2\,B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)-B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^2\,f\,{\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"-(a^2*(B*2i + A*tan(e + f*x)*1i + 3*B*tan(e + f*x) + B*log(tan(e + f*x) + 1i)*1i + 2*B*log(tan(e + f*x) + 1i)*tan(e + f*x) - B*log(tan(e + f*x) + 1i)*tan(e + f*x)^2*1i)*1i)/(c^2*f*(tan(e + f*x)*1i - 1)^2)","B"
685,1,87,93,8.688860,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i)^3,x)","\frac{\frac{a^2\,\left(A-B\,1{}\mathrm{i}\right)}{6}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)\,\left(-3\,B+A\,3{}\mathrm{i}\right)}{6}+B\,a^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\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)}","Not used",1,"((a^2*(A - B*1i))/6 + (a^2*tan(e + f*x)*(A*3i - 3*B))/6 + B*a^2*tan(e + f*x)^2*1i)/(c^3*f*(3*tan(e + f*x) - tan(e + f*x)^2*3i - tan(e + f*x)^3 + 1i))","B"
686,1,78,91,8.710240,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i)^4,x)","\frac{a^2\,\left(3\,B\,{\mathrm{tan}\left(e+f\,x\right)}^2+2\,A\,\mathrm{tan}\left(e+f\,x\right)-A\,1{}\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*A*tan(e + f*x) - A*1i + 3*B*tan(e + f*x)^2))/(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"
687,1,108,95,8.771544,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i)^5,x)","\frac{\frac{a^2\,\left(9\,A+B\,1{}\mathrm{i}\right)}{60}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)\,\left(5\,B+A\,15{}\mathrm{i}\right)}{60}+\frac{B\,a^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}}{3}}{c^5\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5+{\mathrm{tan}\left(e+f\,x\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"((a^2*(9*A + B*1i))/60 + (a^2*tan(e + f*x)*(A*15i + 5*B))/60 + (B*a^2*tan(e + f*x)^2*1i)/3)/(c^5*f*(5*tan(e + f*x) - tan(e + f*x)^2*10i - 10*tan(e + f*x)^3 + tan(e + f*x)^4*5i + tan(e + f*x)^5 + 1i))","B"
688,1,118,91,8.937013,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i)^6,x)","-\frac{\frac{B\,a^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{4}+\frac{a^2\,\mathrm{tan}\left(e+f\,x\right)\,\left(12\,A-B\,6{}\mathrm{i}\right)}{60}-\frac{a^2\,\left(-B+A\,8{}\mathrm{i}\right)}{60}}{c^6\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+{\mathrm{tan}\left(e+f\,x\right)}^5\,6{}\mathrm{i}-15\,{\mathrm{tan}\left(e+f\,x\right)}^4-{\mathrm{tan}\left(e+f\,x\right)}^3\,20{}\mathrm{i}+15\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,6{}\mathrm{i}-1\right)}","Not used",1,"-((a^2*tan(e + f*x)*(12*A - B*6i))/60 - (a^2*(A*8i - B))/60 + (B*a^2*tan(e + f*x)^2)/4)/(c^6*f*(tan(e + f*x)*6i + 15*tan(e + f*x)^2 - tan(e + f*x)^3*20i - 15*tan(e + f*x)^4 + tan(e + f*x)^5*6i + tan(e + f*x)^6 - 1))","B"
689,1,323,151,13.877341,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^n,x)","-\frac{{\left(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}\right)}^n\,\left(\frac{8\,a^3\,\left(3\,A-B\,3{}\mathrm{i}+A\,n+B\,n\,1{}\mathrm{i}\right)}{f\,n\,\left(n^3\,1{}\mathrm{i}+n^2\,6{}\mathrm{i}+n\,11{}\mathrm{i}+6{}\mathrm{i}\right)}+\frac{4\,a^3\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(n^2+5\,n+6\right)\,\left(3\,A-B\,3{}\mathrm{i}+A\,n+B\,n\,1{}\mathrm{i}\right)}{f\,n\,\left(n^3\,1{}\mathrm{i}+n^2\,6{}\mathrm{i}+n\,11{}\mathrm{i}+6{}\mathrm{i}\right)}+\frac{4\,a^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,\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)}+\frac{8\,a^3\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(n+3\right)\,\left(3\,A-B\,3{}\mathrm{i}+A\,n+B\,n\,1{}\mathrm{i}\right)}{f\,n\,\left(n^3\,1{}\mathrm{i}+n^2\,6{}\mathrm{i}+n\,11{}\mathrm{i}+6{}\mathrm{i}\right)}\right)}{3\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+3\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}+{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}+1}","Not used",1,"-((c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^n*((8*a^3*(3*A - B*3i + A*n + B*n*1i))/(f*n*(n*11i + n^2*6i + n^3*1i + 6i)) + (4*a^3*exp(e*4i + f*x*4i)*(5*n + n^2 + 6)*(3*A - B*3i + A*n + B*n*1i))/(f*n*(n*11i + n^2*6i + n^3*1i + 6i)) + (4*a^3*exp(e*6i + f*x*6i)*(A - B*1i)*(11*n + 6*n^2 + n^3 + 6))/(f*n*(n*11i + n^2*6i + n^3*1i + 6i)) + (8*a^3*exp(e*2i + f*x*2i)*(n + 3)*(3*A - B*3i + A*n + B*n*1i))/(f*n*(n*11i + n^2*6i + n^3*1i + 6i))))/(3*exp(e*2i + f*x*2i) + 3*exp(e*4i + f*x*4i) + exp(e*6i + f*x*6i) + 1)","B"
690,1,208,135,8.697396,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^6,x)","\frac{A\,a^3\,c^6\,\mathrm{tan}\left(e+f\,x\right)+\frac{a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-3\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(-B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-\frac{a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(5\,A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\frac{a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(-B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{7}-\frac{a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(3\,A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(A-B\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{6}+\frac{a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^8\,\left(A+B\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{8}+\frac{B\,a^3\,c^6\,{\mathrm{tan}\left(e+f\,x\right)}^9\,1{}\mathrm{i}}{9}}{f}","Not used",1,"((a^3*c^6*tan(e + f*x)^3*(A*1i - 3*B)*1i)/3 - (a^3*c^6*tan(e + f*x)^2*(3*A + B*1i)*1i)/2 + a^3*c^6*tan(e + f*x)^5*(A*1i - B)*1i - (a^3*c^6*tan(e + f*x)^4*(5*A - B*1i)*1i)/4 + (a^3*c^6*tan(e + f*x)^7*(A*3i - B)*1i)/7 + A*a^3*c^6*tan(e + f*x) - (a^3*c^6*tan(e + f*x)^6*(A - B*5i)*1i)/6 + (a^3*c^6*tan(e + f*x)^8*(A + B*3i)*1i)/8 + (B*a^3*c^6*tan(e + f*x)^9*1i)/9)/f","B"
691,1,174,135,8.646172,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^5,x)","-\frac{\frac{a^3\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-B+A\,2{}\mathrm{i}\right)}{2}+\frac{a^3\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(-B+A\,4{}\mathrm{i}\right)}{4}-A\,a^3\,c^5\,\mathrm{tan}\left(e+f\,x\right)-\frac{a^3\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(A-B\,2{}\mathrm{i}\right)}{3}+\frac{a^3\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(B+A\,2{}\mathrm{i}\right)}{6}+\frac{a^3\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(A+B\,4{}\mathrm{i}\right)}{5}+\frac{a^3\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(A+B\,2{}\mathrm{i}\right)}{7}+\frac{B\,a^3\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^8}{8}}{f}","Not used",1,"-((a^3*c^5*tan(e + f*x)^2*(A*2i - B))/2 + (a^3*c^5*tan(e + f*x)^4*(A*4i - B))/4 - A*a^3*c^5*tan(e + f*x) - (a^3*c^5*tan(e + f*x)^3*(A - B*2i))/3 + (a^3*c^5*tan(e + f*x)^6*(A*2i + B))/6 + (a^3*c^5*tan(e + f*x)^5*(A + B*4i))/5 + (a^3*c^5*tan(e + f*x)^7*(A + B*2i))/7 + (B*a^3*c^5*tan(e + f*x)^8)/8)/f","B"
692,1,156,132,8.594250,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^4,x)","-\frac{\frac{a^3\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(2\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{5}-A\,a^3\,c^4\,\mathrm{tan}\left(e+f\,x\right)+\frac{a^3\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^3\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(B+A\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\frac{a^3\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^3\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{6}+\frac{B\,a^3\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^7\,1{}\mathrm{i}}{7}}{f}","Not used",1,"-((a^3*c^4*tan(e + f*x)^5*(A*1i + 2*B)*1i)/5 - A*a^3*c^4*tan(e + f*x) + (a^3*c^4*tan(e + f*x)^2*(A + B*1i)*1i)/2 + (a^3*c^4*tan(e + f*x)^3*(A*2i + B)*1i)/3 + (a^3*c^4*tan(e + f*x)^4*(A + B*1i)*1i)/2 + (a^3*c^4*tan(e + f*x)^6*(A + B*1i)*1i)/6 + (B*a^3*c^4*tan(e + f*x)^7*1i)/7)/f","B"
693,1,120,84,8.463644,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^3,x)","\frac{a^3\,c^3\,\sin\left(e+f\,x\right)\,\left(30\,A\,{\cos\left(e+f\,x\right)}^5+15\,B\,{\cos\left(e+f\,x\right)}^4\,\sin\left(e+f\,x\right)+20\,A\,{\cos\left(e+f\,x\right)}^3\,{\sin\left(e+f\,x\right)}^2+15\,B\,{\cos\left(e+f\,x\right)}^2\,{\sin\left(e+f\,x\right)}^3+6\,A\,\cos\left(e+f\,x\right)\,{\sin\left(e+f\,x\right)}^4+5\,B\,{\sin\left(e+f\,x\right)}^5\right)}{30\,f\,{\cos\left(e+f\,x\right)}^6}","Not used",1,"(a^3*c^3*sin(e + f*x)*(30*A*cos(e + f*x)^5 + 5*B*sin(e + f*x)^5 + 20*A*cos(e + f*x)^3*sin(e + f*x)^2 + 15*B*cos(e + f*x)^2*sin(e + f*x)^3 + 6*A*cos(e + f*x)*sin(e + f*x)^4 + 15*B*cos(e + f*x)^4*sin(e + f*x)))/(30*f*cos(e + f*x)^6)","B"
694,1,108,101,8.418786,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^2,x)","\frac{A\,a^3\,c^2\,\mathrm{tan}\left(e+f\,x\right)-\frac{a^3\,c^2\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\frac{a^3\,c^2\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a^3\,c^2\,{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\frac{B\,a^3\,c^2\,{\mathrm{tan}\left(e+f\,x\right)}^5\,1{}\mathrm{i}}{5}}{f}","Not used",1,"(A*a^3*c^2*tan(e + f*x) - (a^3*c^2*tan(e + f*x)^3*(A*1i - B)*1i)/3 + (a^3*c^2*tan(e + f*x)^2*(A - B*1i)*1i)/2 + (a^3*c^2*tan(e + f*x)^4*(A - B*1i)*1i)/4 + (B*a^3*c^2*tan(e + f*x)^5*1i)/5)/f","B"
695,1,72,61,8.475342,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i),x)","\frac{-\frac{B\,c\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^4}{4}-\frac{c\,\left(A-B\,2{}\mathrm{i}\right)\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3}{3}+\frac{c\,\left(B+A\,2{}\mathrm{i}\right)\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2}+A\,c\,a^3\,\mathrm{tan}\left(e+f\,x\right)}{f}","Not used",1,"(A*a^3*c*tan(e + f*x) + (a^3*c*tan(e + f*x)^2*(A*2i + B))/2 - (a^3*c*tan(e + f*x)^3*(A - B*2i))/3 - (B*a^3*c*tan(e + f*x)^4)/4)/f","B"
696,1,125,110,8.912805,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3,x)","-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{B\,a^3}{2}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)}{2}\right)}{f}+\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(4\,B\,a^3+A\,a^3\,4{}\mathrm{i}\right)}{f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(B\,a^3\,1{}\mathrm{i}-a^3\,\left(2\,A-B\,1{}\mathrm{i}\right)+a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}\right)}{f}-\frac{B\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{3\,f}","Not used",1,"(log(tan(e + f*x) + 1i)*(A*a^3*4i + 4*B*a^3))/f - (tan(e + f*x)^2*((B*a^3)/2 + (a^3*(A*1i + 2*B))/2))/f + (tan(e + f*x)*(B*a^3*1i - a^3*(2*A - B*1i) + a^3*(A*1i + 2*B)*1i))/f - (B*a^3*tan(e + f*x)^3*1i)/(3*f)","B"
697,1,139,119,9.002543,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i),x)","\frac{B\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,c\,f}+\frac{\frac{4\,A\,a^3-B\,a^3\,8{}\mathrm{i}}{c}+\frac{B\,a^3\,4{}\mathrm{i}}{c}}{f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{B\,a^3\,2{}\mathrm{i}}{c}+\frac{a^3\,\left(2\,B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{c}\right)}{f}-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\left(\frac{8\,B\,a^3}{c}+\frac{A\,a^3\,4{}\mathrm{i}}{c}\right)}{f}","Not used",1,"((4*A*a^3 - B*a^3*8i)/c + (B*a^3*4i)/c)/(f*(tan(e + f*x) + 1i)) - (log(tan(e + f*x) + 1i)*((A*a^3*4i)/c + (8*B*a^3)/c))/f - (tan(e + f*x)*((B*a^3*2i)/c + (a^3*(A*1i + 2*B)*1i)/c))/f + (B*a^3*tan(e + f*x)^2)/(2*c*f)","B"
698,1,182,123,9.163827,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^2,x)","-\frac{a^3\,\left(7\,B\,\mathrm{tan}\left(e+f\,x\right)+B\,6{}\mathrm{i}+A\,\mathrm{tan}\left(e+f\,x\right)\,4{}\mathrm{i}-2\,A+B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,2{}\mathrm{i}+B\,{\mathrm{tan}\left(e+f\,x\right)}^3-A\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)+B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,5{}\mathrm{i}+A\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}+10\,B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)+A\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2-B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{c^2\,f\,{\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"-(a^3*(B*6i - 2*A + A*tan(e + f*x)*4i + 7*B*tan(e + f*x) + B*tan(e + f*x)^2*2i + B*tan(e + f*x)^3 - A*log(tan(e + f*x) + 1i) + B*log(tan(e + f*x) + 1i)*5i + A*log(tan(e + f*x) + 1i)*tan(e + f*x)*2i + 10*B*log(tan(e + f*x) + 1i)*tan(e + f*x) + A*log(tan(e + f*x) + 1i)*tan(e + f*x)^2 - B*log(tan(e + f*x) + 1i)*tan(e + f*x)^2*5i)*1i)/(c^2*f*(tan(e + f*x)*1i - 1)^2)","B"
699,1,141,129,8.974768,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^3,x)","-\frac{a^3\,\left(15\,B\,{\mathrm{tan}\left(e+f\,x\right)}^2-7\,B+B\,\mathrm{tan}\left(e+f\,x\right)\,18{}\mathrm{i}+A\,{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}-A\,1{}\mathrm{i}-3\,B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)+B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)\,9{}\mathrm{i}+9\,B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2-B\,\ln\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3\,3{}\mathrm{i}\right)}{3\,c^3\,f\,{\left(-1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"-(a^3*(B*tan(e + f*x)*18i - 7*B - A*1i + A*tan(e + f*x)^2*3i + 15*B*tan(e + f*x)^2 - 3*B*log(tan(e + f*x) + 1i) + B*log(tan(e + f*x) + 1i)*tan(e + f*x)*9i + 9*B*log(tan(e + f*x) + 1i)*tan(e + f*x)^2 - B*log(tan(e + f*x) + 1i)*tan(e + f*x)^3*3i))/(3*c^3*f*(tan(e + f*x)*1i - 1)^3)","B"
700,1,118,99,8.933112,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^4,x)","\frac{-\frac{a^3\,\left(-B+A\,1{}\mathrm{i}\right)}{6}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,\left(2\,A-B\,4{}\mathrm{i}\right)}{6}+B\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}+\frac{a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-3\,B+A\,3{}\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*tan(e + f*x)*(2*A - B*4i))/6 - (a^3*(A*1i - B))/6 + B*a^3*tan(e + f*x)^3*1i + (a^3*tan(e + f*x)^2*(A*3i - 3*B))/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"
701,1,128,122,9.005835,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^5,x)","\frac{\frac{a^3\,\left(4\,A+B\,1{}\mathrm{i}\right)}{30}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,\left(5\,B+A\,10{}\mathrm{i}\right)}{30}-\frac{B\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3}{2}-\frac{a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(10\,A-B\,5{}\mathrm{i}\right)}{30}}{c^5\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5+{\mathrm{tan}\left(e+f\,x\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"((a^3*(4*A + B*1i))/30 + (a^3*tan(e + f*x)*(A*10i + 5*B))/30 - (B*a^3*tan(e + f*x)^3)/2 - (a^3*tan(e + f*x)^2*(10*A - B*5i))/30)/(c^5*f*(5*tan(e + f*x) - tan(e + f*x)^2*10i - 10*tan(e + f*x)^3 + tan(e + f*x)^4*5i + tan(e + f*x)^5 + 1i))","B"
702,1,140,127,9.089042,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^6,x)","-\frac{-\frac{a^3\,\left(-B+A\,7{}\mathrm{i}\right)}{60}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,\left(18\,A-B\,6{}\mathrm{i}\right)}{60}+\frac{B\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{3}+\frac{a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(15\,B+A\,15{}\mathrm{i}\right)}{60}}{c^6\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+{\mathrm{tan}\left(e+f\,x\right)}^5\,6{}\mathrm{i}-15\,{\mathrm{tan}\left(e+f\,x\right)}^4-{\mathrm{tan}\left(e+f\,x\right)}^3\,20{}\mathrm{i}+15\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,6{}\mathrm{i}-1\right)}","Not used",1,"-((a^3*tan(e + f*x)*(18*A - B*6i))/60 - (a^3*(A*7i - B))/60 + (B*a^3*tan(e + f*x)^3*1i)/3 + (a^3*tan(e + f*x)^2*(A*15i + 15*B))/60)/(c^6*f*(tan(e + f*x)*6i + 15*tan(e + f*x)^2 - tan(e + f*x)^3*20i - 15*tan(e + f*x)^4 + tan(e + f*x)^5*6i + tan(e + f*x)^6 - 1))","B"
703,1,151,125,9.295911,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^7,x)","\frac{\frac{a^3\,\left(44\,A+B\,5{}\mathrm{i}\right)}{420}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,\left(35\,B+A\,112{}\mathrm{i}\right)}{420}-\frac{B\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3}{4}-\frac{a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(84\,A-B\,105{}\mathrm{i}\right)}{420}}{c^7\,f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^7-{\mathrm{tan}\left(e+f\,x\right)}^6\,7{}\mathrm{i}+21\,{\mathrm{tan}\left(e+f\,x\right)}^5+{\mathrm{tan}\left(e+f\,x\right)}^4\,35{}\mathrm{i}-35\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,21{}\mathrm{i}+7\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"((a^3*(44*A + B*5i))/420 + (a^3*tan(e + f*x)*(A*112i + 35*B))/420 - (B*a^3*tan(e + f*x)^3)/4 - (a^3*tan(e + f*x)^2*(84*A - B*105i))/420)/(c^7*f*(7*tan(e + f*x) - tan(e + f*x)^2*21i - 35*tan(e + f*x)^3 + tan(e + f*x)^4*35i + 21*tan(e + f*x)^5 - tan(e + f*x)^6*7i - tan(e + f*x)^7 + 1i))","B"
704,1,160,127,9.472516,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^8,x)","\frac{-\frac{a^3\,\left(-2\,B+A\,20{}\mathrm{i}\right)}{210}+\frac{a^3\,\mathrm{tan}\left(e+f\,x\right)\,\left(50\,A-B\,16{}\mathrm{i}\right)}{210}+\frac{B\,a^3\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{5}+\frac{a^3\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(49\,B+A\,35{}\mathrm{i}\right)}{210}}{c^8\,f\,\left({\mathrm{tan}\left(e+f\,x\right)}^8+{\mathrm{tan}\left(e+f\,x\right)}^7\,8{}\mathrm{i}-28\,{\mathrm{tan}\left(e+f\,x\right)}^6-{\mathrm{tan}\left(e+f\,x\right)}^5\,56{}\mathrm{i}+70\,{\mathrm{tan}\left(e+f\,x\right)}^4+{\mathrm{tan}\left(e+f\,x\right)}^3\,56{}\mathrm{i}-28\,{\mathrm{tan}\left(e+f\,x\right)}^2-\mathrm{tan}\left(e+f\,x\right)\,8{}\mathrm{i}+1\right)}","Not used",1,"((a^3*tan(e + f*x)*(50*A - B*16i))/210 - (a^3*(A*20i - 2*B))/210 + (B*a^3*tan(e + f*x)^3*1i)/5 + (a^3*tan(e + f*x)^2*(A*35i + 49*B))/210)/(c^8*f*(tan(e + f*x)^3*56i - 28*tan(e + f*x)^2 - tan(e + f*x)*8i + 70*tan(e + f*x)^4 - tan(e + f*x)^5*56i - 28*tan(e + f*x)^6 + tan(e + f*x)^7*8i + tan(e + f*x)^8 + 1))","B"
705,0,-1,115,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^n)/(a + a*tan(e + f*x)*1i),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^n)/(a + a*tan(e + f*x)*1i), x)","F"
706,1,205,157,8.799754,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^4)/(a + a*tan(e + f*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-\frac{20\,B\,c^4}{a}+\frac{A\,c^4\,12{}\mathrm{i}}{a}\right)}{f}-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-\frac{B\,c^4}{a}+\frac{c^4\,\left(A+B\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}\right)}{f}-\frac{\frac{\left(4\,A\,c^4+B\,c^4\,12{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}-\frac{\left(12\,A\,c^4+B\,c^4\,20{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{2\,c^4\,\left(A+B\,3{}\mathrm{i}\right)}{a}+\frac{B\,c^4\,3{}\mathrm{i}}{a}-\frac{c^4\,\left(-B+A\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{a}\right)}{f}-\frac{B\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{3\,a\,f}","Not used",1,"(log(tan(e + f*x) - 1i)*((A*c^4*12i)/a - (20*B*c^4)/a))/f - (tan(e + f*x)^2*((c^4*(A + B*3i)*1i)/(2*a) - (B*c^4)/a))/f - (((4*A*c^4 + B*c^4*12i)*1i)/a - ((12*A*c^4 + B*c^4*20i)*1i)/a)/(f*(tan(e + f*x)*1i + 1)) + (tan(e + f*x)*((2*c^4*(A + B*3i))/a + (B*c^4*3i)/a - (c^4*(A*1i - B)*3i)/a))/f - (B*c^4*tan(e + f*x)^3*1i)/(3*a*f)","B"
707,1,136,121,8.704804,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^3)/(a + a*tan(e + f*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-\frac{8\,B\,c^3}{a}+\frac{A\,c^3\,4{}\mathrm{i}}{a}\right)}{f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{c^3\,\left(A+B\,2{}\mathrm{i}\right)}{a}+\frac{B\,c^3\,2{}\mathrm{i}}{a}\right)}{f}+\frac{\frac{4\,B\,c^3}{a}+\frac{\left(4\,A\,c^3+B\,c^3\,8{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{B\,c^3\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,a\,f}","Not used",1,"(log(tan(e + f*x) - 1i)*((A*c^3*4i)/a - (8*B*c^3)/a))/f + (tan(e + f*x)*((c^3*(A + B*2i))/a + (B*c^3*2i)/a))/f + (((4*A*c^3 + B*c^3*8i)*1i)/a + (4*B*c^3)/a)/(f*(tan(e + f*x)*1i + 1)) + (B*c^3*tan(e + f*x)^2)/(2*a*f)","B"
708,1,110,96,8.566569,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^2)/(a + a*tan(e + f*x)*1i),x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-\frac{3\,B\,c^2}{a}+\frac{A\,c^2\,1{}\mathrm{i}}{a}\right)}{f}+\frac{\frac{\left(A\,c^2-B\,c^2\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}+\frac{\left(A\,c^2+B\,c^2\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{B\,c^2\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{a\,f}","Not used",1,"(log(tan(e + f*x) - 1i)*((A*c^2*1i)/a - (3*B*c^2)/a))/f + (((A*c^2 - B*c^2*1i)*1i)/a + ((A*c^2 + B*c^2*3i)*1i)/a)/(f*(tan(e + f*x)*1i + 1)) + (B*c^2*tan(e + f*x)*1i)/(a*f)","B"
709,1,54,57,8.457033,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i))/(a + a*tan(e + f*x)*1i),x)","\frac{-\frac{B\,c}{a}+\frac{A\,c\,1{}\mathrm{i}}{a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{B\,c\,\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}{a\,f}","Not used",1,"((A*c*1i)/a - (B*c)/a)/(f*(tan(e + f*x)*1i + 1)) - (B*c*log(tan(e + f*x) - 1i))/(a*f)","B"
710,1,45,47,8.586418,"\text{Not used}","int((A + B*tan(e + f*x))/(a + a*tan(e + f*x)*1i),x)","-\frac{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a}+\frac{-\frac{B}{2\,a}+\frac{A\,1{}\mathrm{i}}{2\,a}}{f\,\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"((A*1i)/(2*a) - B/(2*a))/(f*(tan(e + f*x)*1i + 1)) - (x*(A*1i + B)*1i)/(2*a)","B"
711,1,40,45,8.450568,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)),x)","\frac{\frac{A\,\sin\left(2\,e+2\,f\,x\right)}{2}-\frac{B\,\cos\left(2\,e+2\,f\,x\right)}{2}+A\,f\,x}{2\,a\,c\,f}","Not used",1,"((A*sin(2*e + 2*f*x))/2 - (B*cos(2*e + 2*f*x))/2 + A*f*x)/(2*a*c*f)","B"
712,1,129,113,9.061930,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^2),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{B}{8\,a\,c^2}+\frac{A\,3{}\mathrm{i}}{8\,a\,c^2}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{3\,A}{8\,a\,c^2}+\frac{B\,1{}\mathrm{i}}{8\,a\,c^2}\right)+\frac{A}{4\,a\,c^2}-\frac{B\,1{}\mathrm{i}}{4\,a\,c^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3+{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}+\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{x\,\left(-B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a\,c^2}","Not used",1,"(tan(e + f*x)*((A*3i)/(8*a*c^2) - B/(8*a*c^2)) + tan(e + f*x)^2*((3*A)/(8*a*c^2) + (B*1i)/(8*a*c^2)) + A/(4*a*c^2) - (B*1i)/(4*a*c^2))/(f*(tan(e + f*x) + tan(e + f*x)^2*1i + tan(e + f*x)^3 + 1i)) - (x*(A*3i - B)*1i)/(8*a*c^2)","B"
713,1,161,149,9.112296,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^3),x)","\frac{\frac{B}{12\,a\,c^3}+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-\frac{B}{4\,a\,c^3}+\frac{A\,1{}\mathrm{i}}{2\,a\,c^3}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{A}{4\,a\,c^3}+\frac{B\,1{}\mathrm{i}}{8\,a\,c^3}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{A}{12\,a\,c^3}+\frac{B\,1{}\mathrm{i}}{24\,a\,c^3}\right)+\frac{A\,1{}\mathrm{i}}{3\,a\,c^3}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4+{\mathrm{tan}\left(e+f\,x\right)}^3\,2{}\mathrm{i}+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}-1\right)}-\frac{x\,\left(-B+A\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a\,c^3}","Not used",1,"(tan(e + f*x)^2*((A*1i)/(2*a*c^3) - B/(4*a*c^3)) - tan(e + f*x)*(A/(12*a*c^3) + (B*1i)/(24*a*c^3)) + tan(e + f*x)^3*(A/(4*a*c^3) + (B*1i)/(8*a*c^3)) + (A*1i)/(3*a*c^3) + B/(12*a*c^3))/(f*(tan(e + f*x)*2i + tan(e + f*x)^3*2i + tan(e + f*x)^4 - 1)) - (x*(A*2i - B)*1i)/(8*a*c^3)","B"
714,1,204,181,9.258175,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^4),x)","-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{3\,B}{32\,a\,c^4}+\frac{A\,5{}\mathrm{i}}{32\,a\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{5\,A}{32\,a\,c^4}+\frac{B\,3{}\mathrm{i}}{32\,a\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-\frac{9\,B}{32\,a\,c^4}+\frac{A\,15{}\mathrm{i}}{32\,a\,c^4}\right)-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{35\,A}{96\,a\,c^4}+\frac{B\,7{}\mathrm{i}}{32\,a\,c^4}\right)-\frac{A}{3\,a\,c^4}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^5-{\mathrm{tan}\left(e+f\,x\right)}^4\,3{}\mathrm{i}+2\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,2{}\mathrm{i}+3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{x\,\left(-3\,B+A\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{32\,a\,c^4}","Not used",1,"- (tan(e + f*x)*((A*5i)/(32*a*c^4) - (3*B)/(32*a*c^4)) + tan(e + f*x)^4*((5*A)/(32*a*c^4) + (B*3i)/(32*a*c^4)) + tan(e + f*x)^3*((A*15i)/(32*a*c^4) - (9*B)/(32*a*c^4)) - tan(e + f*x)^2*((35*A)/(96*a*c^4) + (B*7i)/(32*a*c^4)) - A/(3*a*c^4))/(f*(3*tan(e + f*x) - tan(e + f*x)^2*2i + 2*tan(e + f*x)^3 - tan(e + f*x)^4*3i - tan(e + f*x)^5 + 1i)) - (x*(A*5i - 3*B)*1i)/(32*a*c^4)","B"
715,0,-1,115,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^n)/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^n)/(a + a*tan(e + f*x)*1i)^2, x)","F"
716,1,282,194,8.811454,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^5)/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-\frac{56\,B\,c^5}{a^2}+\frac{A\,c^5\,24{}\mathrm{i}}{a^2}\right)}{f}+\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-\frac{3\,B\,c^5}{2\,a^2}+\frac{c^5\,\left(A+B\,4{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^2}\right)}{f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,c^5\,\left(A+B\,4{}\mathrm{i}\right)}{a^2}+\frac{B\,c^5\,6{}\mathrm{i}}{a^2}-\frac{c^5\,\left(-3\,B+A\,2{}\mathrm{i}\right)\,2{}\mathrm{i}}{a^2}\right)}{f}+\frac{-\frac{\left(-24\,B\,c^5+A\,c^5\,8{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^2}+\frac{16\,A\,c^5+B\,c^5\,64{}\mathrm{i}}{2\,a^2}+\frac{\left(-56\,B\,c^5+A\,c^5\,24{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,a^2}+\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{\left(16\,A\,c^5+B\,c^5\,64{}\mathrm{i}\right)\,1{}\mathrm{i}}{a^2}-\frac{2\,\left(-56\,B\,c^5+A\,c^5\,24{}\mathrm{i}\right)}{a^2}\right)}{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{B\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}}{3\,a^2\,f}","Not used",1,"(tan(e + f*x)^2*((c^5*(A + B*4i)*1i)/(2*a^2) - (3*B*c^5)/(2*a^2)))/f - (log(tan(e + f*x) - 1i)*((A*c^5*24i)/a^2 - (56*B*c^5)/a^2))/f - (tan(e + f*x)*((3*c^5*(A + B*4i))/a^2 + (B*c^5*6i)/a^2 - (c^5*(A*2i - 3*B)*2i)/a^2))/f + ((16*A*c^5 + B*c^5*64i)/(2*a^2) - ((A*c^5*8i - 24*B*c^5)*1i)/(2*a^2) + ((A*c^5*24i - 56*B*c^5)*3i)/(2*a^2) + tan(e + f*x)*(((16*A*c^5 + B*c^5*64i)*1i)/a^2 - (2*(A*c^5*24i - 56*B*c^5))/a^2))/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) + (B*c^5*tan(e + f*x)^3*1i)/(3*a^2*f)","B"
717,1,207,158,8.773648,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^4)/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-\frac{18\,B\,c^4}{a^2}+\frac{A\,c^4\,6{}\mathrm{i}}{a^2}\right)}{f}-\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{c^4\,\left(A+B\,3{}\mathrm{i}\right)}{a^2}+\frac{B\,c^4\,3{}\mathrm{i}}{a^2}\right)}{f}-\frac{\frac{\left(-6\,B\,c^4+A\,c^4\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a^2}-\frac{\left(-18\,B\,c^4+A\,c^4\,6{}\mathrm{i}\right)\,3{}\mathrm{i}}{2\,a^2}+\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{2\,\left(-18\,B\,c^4+A\,c^4\,6{}\mathrm{i}\right)}{a^2}+\frac{16\,B\,c^4}{a^2}\right)-\frac{B\,c^4\,8{}\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{B\,c^4\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,a^2\,f}","Not used",1,"- (log(tan(e + f*x) - 1i)*((A*c^4*6i)/a^2 - (18*B*c^4)/a^2))/f - (tan(e + f*x)*((c^4*(A + B*3i))/a^2 + (B*c^4*3i)/a^2))/f - (((A*c^4*2i - 6*B*c^4)*1i)/(2*a^2) - ((A*c^4*6i - 18*B*c^4)*3i)/(2*a^2) + tan(e + f*x)*((2*(A*c^4*6i - 18*B*c^4))/a^2 + (16*B*c^4)/a^2) - (B*c^4*8i)/a^2)/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) - (B*c^4*tan(e + f*x)^2)/(2*a^2*f)","B"
718,1,194,128,9.008429,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^3)/(a + a*tan(e + f*x)*1i)^2,x)","\frac{c^3\,\left(6\,B-A\,2{}\mathrm{i}+4\,A\,\mathrm{tan}\left(e+f\,x\right)+B\,\mathrm{tan}\left(e+f\,x\right)\,7{}\mathrm{i}-A\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+5\,B\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+2\,B\,{\mathrm{tan}\left(e+f\,x\right)}^2+B\,{\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}+A\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}-5\,B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+2\,A\,\mathrm{tan}\left(e+f\,x\right)\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+B\,\mathrm{tan}\left(e+f\,x\right)\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,10{}\mathrm{i}\right)}{a^2\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"(c^3*(6*B - A*2i + 4*A*tan(e + f*x) + B*tan(e + f*x)*7i - A*log(- tan(e + f*x)*1i - 1)*1i + 5*B*log(- tan(e + f*x)*1i - 1) + 2*B*tan(e + f*x)^2 + B*tan(e + f*x)^3*1i + A*tan(e + f*x)^2*log(- tan(e + f*x)*1i - 1)*1i - 5*B*tan(e + f*x)^2*log(- tan(e + f*x)*1i - 1) + 2*A*tan(e + f*x)*log(- tan(e + f*x)*1i - 1) + B*tan(e + f*x)*log(- tan(e + f*x)*1i - 1)*10i))/(a^2*f*(tan(e + f*x)*1i + 1)^2)","B"
719,1,104,97,8.509135,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^2)/(a + a*tan(e + f*x)*1i)^2,x)","\frac{c^2\,\left(2\,B+A\,\mathrm{tan}\left(e+f\,x\right)+B\,\mathrm{tan}\left(e+f\,x\right)\,3{}\mathrm{i}+B\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+B\,\mathrm{tan}\left(e+f\,x\right)\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,2{}\mathrm{i}\right)}{a^2\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"(c^2*(2*B + A*tan(e + f*x) + B*tan(e + f*x)*3i + B*log(- tan(e + f*x)*1i - 1) - B*tan(e + f*x)^2*log(- tan(e + f*x)*1i - 1) + B*tan(e + f*x)*log(- tan(e + f*x)*1i - 1)*2i))/(a^2*f*(tan(e + f*x)*1i + 1)^2)","B"
720,1,50,48,8.535628,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i))/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\frac{c\,\left(A-B\,1{}\mathrm{i}\right)}{2}+B\,c\,\mathrm{tan}\left(e+f\,x\right)}{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,"((c*(A - B*1i))/2 + B*c*tan(e + f*x))/(a^2*f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i))","B"
721,1,70,80,8.542387,"\text{Not used}","int((A + B*tan(e + f*x))/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\frac{A}{2\,a^2}+\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{B}{4\,a^2}+\frac{A\,1{}\mathrm{i}}{4\,a^2}\right)}{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(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^2}","Not used",1,"(A/(2*a^2) + tan(e + f*x)*((A*1i)/(4*a^2) + B/(4*a^2)))/(f*(2*tan(e + f*x) + tan(e + f*x)^2*1i - 1i)) - (x*(A*1i + B)*1i)/(4*a^2)","B"
722,1,129,117,8.771623,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,A}{8\,a^2\,c}-\frac{B\,1{}\mathrm{i}}{8\,a^2\,c}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{B}{8\,a^2\,c}+\frac{A\,3{}\mathrm{i}}{8\,a^2\,c}\right)-\frac{B}{4\,a^2\,c}+\frac{A\,1{}\mathrm{i}}{4\,a^2\,c}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^3\,1{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}+1\right)}-\frac{x\,\left(B+A\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^2\,c}","Not used",1,"(tan(e + f*x)*((3*A)/(8*a^2*c) - (B*1i)/(8*a^2*c)) + tan(e + f*x)^2*((A*3i)/(8*a^2*c) + B/(8*a^2*c)) + (A*1i)/(4*a^2*c) - B/(4*a^2*c))/(f*(tan(e + f*x)*1i + tan(e + f*x)^2 + tan(e + f*x)^3*1i + 1)) - (x*(A*3i + B)*1i)/(8*a^2*c)","B"
723,1,53,71,8.500735,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^2),x)","\frac{3\,A\,x}{8\,a^2\,c^2}+\frac{{\cos\left(e+f\,x\right)}^4\,\left(\frac{3\,A\,{\mathrm{tan}\left(e+f\,x\right)}^3}{8}+\frac{5\,A\,\mathrm{tan}\left(e+f\,x\right)}{8}-\frac{B}{4}\right)}{a^2\,c^2\,f}","Not used",1,"(3*A*x)/(8*a^2*c^2) + (cos(e + f*x)^4*((5*A*tan(e + f*x))/8 - B/4 + (3*A*tan(e + f*x)^3)/8))/(a^2*c^2*f)","B"
724,1,208,183,9.644161,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^3),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{5\,B}{48\,a^2\,c^3}+\frac{A\,25{}\mathrm{i}}{48\,a^2\,c^3}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-\frac{B}{16\,a^2\,c^3}+\frac{A\,5{}\mathrm{i}}{16\,a^2\,c^3}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{5\,A}{16\,a^2\,c^3}+\frac{B\,1{}\mathrm{i}}{16\,a^2\,c^3}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{25\,A}{48\,a^2\,c^3}+\frac{B\,5{}\mathrm{i}}{48\,a^2\,c^3}\right)+\frac{A}{6\,a^2\,c^3}-\frac{B\,1{}\mathrm{i}}{6\,a^2\,c^3}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5+{\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}+2\,{\mathrm{tan}\left(e+f\,x\right)}^3+{\mathrm{tan}\left(e+f\,x\right)}^2\,2{}\mathrm{i}+\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{x\,\left(-B+A\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^2\,c^3}","Not used",1,"(tan(e + f*x)*((A*25i)/(48*a^2*c^3) - (5*B)/(48*a^2*c^3)) + tan(e + f*x)^3*((A*5i)/(16*a^2*c^3) - B/(16*a^2*c^3)) + tan(e + f*x)^4*((5*A)/(16*a^2*c^3) + (B*1i)/(16*a^2*c^3)) + tan(e + f*x)^2*((25*A)/(48*a^2*c^3) + (B*5i)/(48*a^2*c^3)) + A/(6*a^2*c^3) - (B*1i)/(6*a^2*c^3))/(f*(tan(e + f*x) + tan(e + f*x)^2*2i + 2*tan(e + f*x)^3 + tan(e + f*x)^4*1i + tan(e + f*x)^5 + 1i)) - (x*(A*5i - B)*1i)/(16*a^2*c^3)","B"
725,1,247,221,10.174284,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^4),x)","\frac{\frac{B}{12\,a^2\,c^4}+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(-\frac{5\,B}{32\,a^2\,c^4}+\frac{A\,15{}\mathrm{i}}{32\,a^2\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{5\,A}{32\,a^2\,c^4}+\frac{B\,5{}\mathrm{i}}{96\,a^2\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(\frac{15\,A}{64\,a^2\,c^4}+\frac{B\,5{}\mathrm{i}}{64\,a^2\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-\frac{25\,B}{96\,a^2\,c^4}+\frac{A\,25{}\mathrm{i}}{32\,a^2\,c^4}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{17\,A}{64\,a^2\,c^4}+\frac{B\,17{}\mathrm{i}}{192\,a^2\,c^4}\right)+\frac{A\,1{}\mathrm{i}}{4\,a^2\,c^4}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^6+{\mathrm{tan}\left(e+f\,x\right)}^5\,2{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^4+{\mathrm{tan}\left(e+f\,x\right)}^3\,4{}\mathrm{i}-{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}-1\right)}+\frac{5\,x\,\left(3\,A+B\,1{}\mathrm{i}\right)}{64\,a^2\,c^4}","Not used",1,"(tan(e + f*x)^4*((A*15i)/(32*a^2*c^4) - (5*B)/(32*a^2*c^4)) - tan(e + f*x)*((17*A)/(64*a^2*c^4) + (B*17i)/(192*a^2*c^4)) + tan(e + f*x)^3*((5*A)/(32*a^2*c^4) + (B*5i)/(96*a^2*c^4)) + tan(e + f*x)^5*((15*A)/(64*a^2*c^4) + (B*5i)/(64*a^2*c^4)) + tan(e + f*x)^2*((A*25i)/(32*a^2*c^4) - (25*B)/(96*a^2*c^4)) + (A*1i)/(4*a^2*c^4) + B/(12*a^2*c^4))/(f*(tan(e + f*x)*2i - tan(e + f*x)^2 + tan(e + f*x)^3*4i + tan(e + f*x)^4 + tan(e + f*x)^5*2i + tan(e + f*x)^6 - 1)) + (5*x*(3*A + B*1i))/(64*a^2*c^4)","B"
726,1,291,251,10.238253,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^5),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{3\,B}{640\,a^2\,c^5}+\frac{A\,7{}\mathrm{i}}{640\,a^2\,c^5}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{7\,A}{32\,a^2\,c^5}+\frac{B\,3{}\mathrm{i}}{32\,a^2\,c^5}\right)-{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-\frac{9\,B}{32\,a^2\,c^5}+\frac{A\,21{}\mathrm{i}}{32\,a^2\,c^5}\right)-{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(\frac{21\,A}{128\,a^2\,c^5}+\frac{B\,9{}\mathrm{i}}{128\,a^2\,c^5}\right)-{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(-\frac{27\,B}{128\,a^2\,c^5}+\frac{A\,63{}\mathrm{i}}{128\,a^2\,c^5}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{469\,A}{640\,a^2\,c^5}+\frac{B\,201{}\mathrm{i}}{640\,a^2\,c^5}\right)+\frac{11\,A}{40\,a^2\,c^5}-\frac{B\,1{}\mathrm{i}}{40\,a^2\,c^5}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^7-{\mathrm{tan}\left(e+f\,x\right)}^6\,3{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^5-{\mathrm{tan}\left(e+f\,x\right)}^4\,5{}\mathrm{i}+5\,{\mathrm{tan}\left(e+f\,x\right)}^3-{\mathrm{tan}\left(e+f\,x\right)}^2\,1{}\mathrm{i}+3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}+\frac{3\,x\,\left(7\,A+B\,3{}\mathrm{i}\right)}{128\,a^2\,c^5}","Not used",1,"(tan(e + f*x)*((A*7i)/(640*a^2*c^5) - (3*B)/(640*a^2*c^5)) + tan(e + f*x)^4*((7*A)/(32*a^2*c^5) + (B*3i)/(32*a^2*c^5)) - tan(e + f*x)^3*((A*21i)/(32*a^2*c^5) - (9*B)/(32*a^2*c^5)) - tan(e + f*x)^6*((21*A)/(128*a^2*c^5) + (B*9i)/(128*a^2*c^5)) - tan(e + f*x)^5*((A*63i)/(128*a^2*c^5) - (27*B)/(128*a^2*c^5)) + tan(e + f*x)^2*((469*A)/(640*a^2*c^5) + (B*201i)/(640*a^2*c^5)) + (11*A)/(40*a^2*c^5) - (B*1i)/(40*a^2*c^5))/(f*(3*tan(e + f*x) - tan(e + f*x)^2*1i + 5*tan(e + f*x)^3 - tan(e + f*x)^4*5i + tan(e + f*x)^5 - tan(e + f*x)^6*3i - tan(e + f*x)^7 + 1i)) + (3*x*(7*A + B*3i))/(128*a^2*c^5)","B"
727,0,-1,115,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^n)/(a + a*tan(e + f*x)*1i)^3,x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^n)/(a + a*tan(e + f*x)*1i)^3, x)","F"
728,1,233,191,8.975518,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^5)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\ln\left(\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)\,\left(-\frac{32\,B\,c^5}{a^3}+\frac{A\,c^5\,8{}\mathrm{i}}{a^3}\right)}{f}+\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{c^5\,\left(A+B\,4{}\mathrm{i}\right)}{a^3}+\frac{B\,c^5\,4{}\mathrm{i}}{a^3}\right)}{f}+\frac{\frac{5\,\left(-32\,B\,c^5+A\,c^5\,8{}\mathrm{i}\right)}{3\,a^3}+\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{\left(-32\,B\,c^5+A\,c^5\,8{}\mathrm{i}\right)\,4{}\mathrm{i}}{a^3}+\frac{B\,c^5\,40{}\mathrm{i}}{a^3}\right)-{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{3\,\left(-32\,B\,c^5+A\,c^5\,8{}\mathrm{i}\right)}{a^3}+\frac{40\,B\,c^5}{a^3}\right)+\frac{16\,B\,c^5}{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{B\,c^5\,{\mathrm{tan}\left(e+f\,x\right)}^2}{2\,a^3\,f}","Not used",1,"(log(tan(e + f*x) - 1i)*((A*c^5*8i)/a^3 - (32*B*c^5)/a^3))/f + (tan(e + f*x)*((c^5*(A + B*4i))/a^3 + (B*c^5*4i)/a^3))/f + ((5*(A*c^5*8i - 32*B*c^5))/(3*a^3) + tan(e + f*x)*(((A*c^5*8i - 32*B*c^5)*4i)/a^3 + (B*c^5*40i)/a^3) - tan(e + f*x)^2*((3*(A*c^5*8i - 32*B*c^5))/a^3 + (40*B*c^5)/a^3) + (16*B*c^5)/a^3)/(f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1)) + (B*c^5*tan(e + f*x)^2)/(2*a^3*f)","B"
729,1,266,164,11.010984,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^4)/(a + a*tan(e + f*x)*1i)^3,x)","-\frac{c^4\,\left(25\,B\,\mathrm{tan}\left(e+f\,x\right)-\frac{B\,32{}\mathrm{i}}{3}-A\,\mathrm{tan}\left(e+f\,x\right)\,6{}\mathrm{i}-\frac{8\,A}{3}-A\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-B\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}+6\,A\,{\mathrm{tan}\left(e+f\,x\right)}^2+B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,15{}\mathrm{i}+3\,B\,{\mathrm{tan}\left(e+f\,x\right)}^3+B\,{\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}+3\,A\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+A\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,21{}\mathrm{i}-7\,B\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-A\,\mathrm{tan}\left(e+f\,x\right)\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}+21\,B\,\mathrm{tan}\left(e+f\,x\right)\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{a^3\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"-(c^4*(25*B*tan(e + f*x) - (B*32i)/3 - A*tan(e + f*x)*6i - (8*A)/3 - A*log(- tan(e + f*x)*1i - 1) - B*log(- tan(e + f*x)*1i - 1)*7i + 6*A*tan(e + f*x)^2 + B*tan(e + f*x)^2*15i + 3*B*tan(e + f*x)^3 + B*tan(e + f*x)^4*1i + 3*A*tan(e + f*x)^2*log(- tan(e + f*x)*1i - 1) + A*tan(e + f*x)^3*log(- tan(e + f*x)*1i - 1)*1i + B*tan(e + f*x)^2*log(- tan(e + f*x)*1i - 1)*21i - 7*B*tan(e + f*x)^3*log(- tan(e + f*x)*1i - 1) - A*tan(e + f*x)*log(- tan(e + f*x)*1i - 1)*3i + 21*B*tan(e + f*x)*log(- tan(e + f*x)*1i - 1))*1i)/(a^3*f*(tan(e + f*x)*1i + 1)^3)","B"
730,1,149,135,8.961916,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^3)/(a + a*tan(e + f*x)*1i)^3,x)","-\frac{c^3\,\left(18\,B\,\mathrm{tan}\left(e+f\,x\right)-B\,7{}\mathrm{i}-A-B\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}+3\,A\,{\mathrm{tan}\left(e+f\,x\right)}^2+B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,15{}\mathrm{i}+B\,{\mathrm{tan}\left(e+f\,x\right)}^2\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,9{}\mathrm{i}-3\,B\,{\mathrm{tan}\left(e+f\,x\right)}^3\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)+9\,B\,\mathrm{tan}\left(e+f\,x\right)\,\ln\left(-1-\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{3\,a^3\,f\,{\left(1+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"-(c^3*(18*B*tan(e + f*x) - B*7i - A - B*log(- tan(e + f*x)*1i - 1)*3i + 3*A*tan(e + f*x)^2 + B*tan(e + f*x)^2*15i + B*tan(e + f*x)^2*log(- tan(e + f*x)*1i - 1)*9i - 3*B*tan(e + f*x)^3*log(- tan(e + f*x)*1i - 1) + 9*B*tan(e + f*x)*log(- tan(e + f*x)*1i - 1))*1i)/(3*a^3*f*(tan(e + f*x)*1i + 1)^3)","B"
731,1,87,99,8.928426,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^2)/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{c^2\,\left(-B+A\,1{}\mathrm{i}\right)}{6}+\frac{c^2\,\mathrm{tan}\left(e+f\,x\right)\,\left(3\,A-B\,3{}\mathrm{i}\right)}{6}+B\,c^2\,{\mathrm{tan}\left(e+f\,x\right)}^2}{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*(A*1i - B))/6 + (c^2*tan(e + f*x)*(3*A - B*3i))/6 + B*c^2*tan(e + f*x)^2)/(a^3*f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1))","B"
732,1,62,59,8.843155,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i))/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{c\,\left(B+A\,2{}\mathrm{i}\right)}{6}+\frac{B\,c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{2}}{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*(A*2i + B))/6 + (B*c*tan(e + f*x)*1i)/2)/(a^3*f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1))","B"
733,1,111,112,9.131833,"\text{Not used}","int((A + B*tan(e + f*x))/(a + a*tan(e + f*x)*1i)^3,x)","-\frac{{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{B}{8\,a^3}+\frac{A\,1{}\mathrm{i}}{8\,a^3}\right)-\frac{A\,5{}\mathrm{i}}{12\,a^3}-\frac{B}{12\,a^3}+\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{3\,A}{8\,a^3}-\frac{B\,3{}\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)}-\frac{x\,\left(B+A\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^3}","Not used",1,"- (tan(e + f*x)^2*((A*1i)/(8*a^3) + B/(8*a^3)) - (A*5i)/(12*a^3) - B/(12*a^3) + tan(e + f*x)*((3*A)/(8*a^3) - (B*3i)/(8*a^3)))/(f*(tan(e + f*x)*3i - 3*tan(e + f*x)^2 - tan(e + f*x)^3*1i + 1)) - (x*(A*1i + B)*1i)/(8*a^3)","B"
734,1,161,153,9.060600,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)),x)","\frac{\frac{A}{3\,a^3\,c}+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{A}{2\,a^3\,c}-\frac{B\,1{}\mathrm{i}}{4\,a^3\,c}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{B}{8\,a^3\,c}+\frac{A\,1{}\mathrm{i}}{4\,a^3\,c}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{B}{24\,a^3\,c}+\frac{A\,1{}\mathrm{i}}{12\,a^3\,c}\right)+\frac{B\,1{}\mathrm{i}}{12\,a^3\,c}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^4\,1{}\mathrm{i}+2\,{\mathrm{tan}\left(e+f\,x\right)}^3+2\,\mathrm{tan}\left(e+f\,x\right)-\mathrm{i}\right)}-\frac{x\,\left(B+A\,2{}\mathrm{i}\right)\,1{}\mathrm{i}}{8\,a^3\,c}","Not used",1,"(tan(e + f*x)^2*(A/(2*a^3*c) - (B*1i)/(4*a^3*c)) - tan(e + f*x)*((A*1i)/(12*a^3*c) + B/(24*a^3*c)) + tan(e + f*x)^3*((A*1i)/(4*a^3*c) + B/(8*a^3*c)) + A/(3*a^3*c) + (B*1i)/(12*a^3*c))/(f*(2*tan(e + f*x) + 2*tan(e + f*x)^3 + tan(e + f*x)^4*1i - 1i)) - (x*(A*2i + B)*1i)/(8*a^3*c)","B"
735,1,208,185,9.473252,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^2),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{25\,A}{48\,a^3\,c^2}-\frac{B\,5{}\mathrm{i}}{48\,a^3\,c^2}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{5\,A}{16\,a^3\,c^2}-\frac{B\,1{}\mathrm{i}}{16\,a^3\,c^2}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{B}{16\,a^3\,c^2}+\frac{A\,5{}\mathrm{i}}{16\,a^3\,c^2}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{5\,B}{48\,a^3\,c^2}+\frac{A\,25{}\mathrm{i}}{48\,a^3\,c^2}\right)-\frac{B}{6\,a^3\,c^2}+\frac{A\,1{}\mathrm{i}}{6\,a^3\,c^2}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^5\,1{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^4+{\mathrm{tan}\left(e+f\,x\right)}^3\,2{}\mathrm{i}+2\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}+1\right)}-\frac{x\,\left(B+A\,5{}\mathrm{i}\right)\,1{}\mathrm{i}}{16\,a^3\,c^2}","Not used",1,"(tan(e + f*x)*((25*A)/(48*a^3*c^2) - (B*5i)/(48*a^3*c^2)) + tan(e + f*x)^3*((5*A)/(16*a^3*c^2) - (B*1i)/(16*a^3*c^2)) + tan(e + f*x)^4*((A*5i)/(16*a^3*c^2) + B/(16*a^3*c^2)) + tan(e + f*x)^2*((A*25i)/(48*a^3*c^2) + (5*B)/(48*a^3*c^2)) + (A*1i)/(6*a^3*c^2) - B/(6*a^3*c^2))/(f*(tan(e + f*x)*1i + 2*tan(e + f*x)^2 + tan(e + f*x)^3*2i + tan(e + f*x)^4 + tan(e + f*x)^5*1i + 1)) - (x*(A*5i + B)*1i)/(16*a^3*c^2)","B"
736,1,64,99,8.716653,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^3),x)","\frac{5\,A\,x}{16\,a^3\,c^3}+\frac{{\cos\left(e+f\,x\right)}^6\,\left(\frac{5\,A\,{\mathrm{tan}\left(e+f\,x\right)}^5}{16}+\frac{5\,A\,{\mathrm{tan}\left(e+f\,x\right)}^3}{6}+\frac{11\,A\,\mathrm{tan}\left(e+f\,x\right)}{16}-\frac{B}{6}\right)}{a^3\,c^3\,f}","Not used",1,"(5*A*x)/(16*a^3*c^3) + (cos(e + f*x)^6*((11*A*tan(e + f*x))/16 - B/6 + (5*A*tan(e + f*x)^3)/6 + (5*A*tan(e + f*x)^5)/16))/(a^3*c^3*f)","B"
737,1,286,251,10.396422,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^4),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{11\,B}{128\,a^3\,c^4}+\frac{A\,77{}\mathrm{i}}{128\,a^3\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-\frac{5\,B}{48\,a^3\,c^4}+\frac{A\,35{}\mathrm{i}}{48\,a^3\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{35\,A}{48\,a^3\,c^4}+\frac{B\,5{}\mathrm{i}}{48\,a^3\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(-\frac{5\,B}{128\,a^3\,c^4}+\frac{A\,35{}\mathrm{i}}{128\,a^3\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(\frac{35\,A}{128\,a^3\,c^4}+\frac{B\,5{}\mathrm{i}}{128\,a^3\,c^4}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{77\,A}{128\,a^3\,c^4}+\frac{B\,11{}\mathrm{i}}{128\,a^3\,c^4}\right)+\frac{A}{8\,a^3\,c^4}-\frac{B\,1{}\mathrm{i}}{8\,a^3\,c^4}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^7+{\mathrm{tan}\left(e+f\,x\right)}^6\,1{}\mathrm{i}+3\,{\mathrm{tan}\left(e+f\,x\right)}^5+{\mathrm{tan}\left(e+f\,x\right)}^4\,3{}\mathrm{i}+3\,{\mathrm{tan}\left(e+f\,x\right)}^3+{\mathrm{tan}\left(e+f\,x\right)}^2\,3{}\mathrm{i}+\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}+\frac{5\,x\,\left(7\,A+B\,1{}\mathrm{i}\right)}{128\,a^3\,c^4}","Not used",1,"(tan(e + f*x)*((A*77i)/(128*a^3*c^4) - (11*B)/(128*a^3*c^4)) + tan(e + f*x)^3*((A*35i)/(48*a^3*c^4) - (5*B)/(48*a^3*c^4)) + tan(e + f*x)^4*((35*A)/(48*a^3*c^4) + (B*5i)/(48*a^3*c^4)) + tan(e + f*x)^5*((A*35i)/(128*a^3*c^4) - (5*B)/(128*a^3*c^4)) + tan(e + f*x)^6*((35*A)/(128*a^3*c^4) + (B*5i)/(128*a^3*c^4)) + tan(e + f*x)^2*((77*A)/(128*a^3*c^4) + (B*11i)/(128*a^3*c^4)) + A/(8*a^3*c^4) - (B*1i)/(8*a^3*c^4))/(f*(tan(e + f*x) + tan(e + f*x)^2*3i + 3*tan(e + f*x)^3 + tan(e + f*x)^4*3i + 3*tan(e + f*x)^5 + tan(e + f*x)^6*1i + tan(e + f*x)^7 + 1i)) + (5*x*(7*A + B*1i))/(128*a^3*c^4)","B"
738,1,319,287,10.733968,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^5),x)","\frac{\frac{3\,B}{40\,a^3\,c^5}+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(-\frac{7\,B}{24\,a^3\,c^5}+\frac{A\,7{}\mathrm{i}}{6\,a^3\,c^5}\right)+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(-\frac{7\,B}{64\,a^3\,c^5}+\frac{A\,7{}\mathrm{i}}{16\,a^3\,c^5}\right)+{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(\frac{7\,A}{32\,a^3\,c^5}+\frac{B\,7{}\mathrm{i}}{128\,a^3\,c^5}\right)+{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(\frac{35\,A}{96\,a^3\,c^5}+\frac{B\,35{}\mathrm{i}}{384\,a^3\,c^5}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(-\frac{77\,B}{320\,a^3\,c^5}+\frac{A\,77{}\mathrm{i}}{80\,a^3\,c^5}\right)-{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(\frac{49\,A}{480\,a^3\,c^5}+\frac{B\,49{}\mathrm{i}}{1920\,a^3\,c^5}\right)-\mathrm{tan}\left(e+f\,x\right)\,\left(\frac{61\,A}{160\,a^3\,c^5}+\frac{B\,61{}\mathrm{i}}{640\,a^3\,c^5}\right)+\frac{A\,1{}\mathrm{i}}{5\,a^3\,c^5}}{f\,\left({\mathrm{tan}\left(e+f\,x\right)}^8+{\mathrm{tan}\left(e+f\,x\right)}^7\,2{}\mathrm{i}+2\,{\mathrm{tan}\left(e+f\,x\right)}^6+{\mathrm{tan}\left(e+f\,x\right)}^5\,6{}\mathrm{i}+{\mathrm{tan}\left(e+f\,x\right)}^3\,6{}\mathrm{i}-2\,{\mathrm{tan}\left(e+f\,x\right)}^2+\mathrm{tan}\left(e+f\,x\right)\,2{}\mathrm{i}-1\right)}+\frac{7\,x\,\left(4\,A+B\,1{}\mathrm{i}\right)}{128\,a^3\,c^5}","Not used",1,"(tan(e + f*x)^4*((A*7i)/(6*a^3*c^5) - (7*B)/(24*a^3*c^5)) - tan(e + f*x)*((61*A)/(160*a^3*c^5) + (B*61i)/(640*a^3*c^5)) + tan(e + f*x)^6*((A*7i)/(16*a^3*c^5) - (7*B)/(64*a^3*c^5)) + tan(e + f*x)^7*((7*A)/(32*a^3*c^5) + (B*7i)/(128*a^3*c^5)) + tan(e + f*x)^5*((35*A)/(96*a^3*c^5) + (B*35i)/(384*a^3*c^5)) + tan(e + f*x)^2*((A*77i)/(80*a^3*c^5) - (77*B)/(320*a^3*c^5)) - tan(e + f*x)^3*((49*A)/(480*a^3*c^5) + (B*49i)/(1920*a^3*c^5)) + (A*1i)/(5*a^3*c^5) + (3*B)/(40*a^3*c^5))/(f*(tan(e + f*x)*2i - 2*tan(e + f*x)^2 + tan(e + f*x)^3*6i + tan(e + f*x)^5*6i + 2*tan(e + f*x)^6 + tan(e + f*x)^7*2i + tan(e + f*x)^8 - 1)) + (7*x*(4*A + B*1i))/(128*a^3*c^5)","B"
739,1,352,319,11.295628,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^6),x)","\frac{\mathrm{tan}\left(e+f\,x\right)\,\left(-\frac{29\,B}{640\,a^3\,c^6}+\frac{A\,87{}\mathrm{i}}{640\,a^3\,c^6}\right)-{\mathrm{tan}\left(e+f\,x\right)}^8\,\left(\frac{21\,A}{128\,a^3\,c^6}+\frac{B\,7{}\mathrm{i}}{128\,a^3\,c^6}\right)-{\mathrm{tan}\left(e+f\,x\right)}^7\,\left(-\frac{21\,B}{128\,a^3\,c^6}+\frac{A\,63{}\mathrm{i}}{128\,a^3\,c^6}\right)+{\mathrm{tan}\left(e+f\,x\right)}^2\,\left(\frac{129\,A}{128\,a^3\,c^6}+\frac{B\,43{}\mathrm{i}}{128\,a^3\,c^6}\right)-{\mathrm{tan}\left(e+f\,x\right)}^5\,\left(-\frac{49\,B}{128\,a^3\,c^6}+\frac{A\,147{}\mathrm{i}}{128\,a^3\,c^6}\right)+{\mathrm{tan}\left(e+f\,x\right)}^6\,\left(\frac{7\,A}{128\,a^3\,c^6}+\frac{B\,7{}\mathrm{i}}{384\,a^3\,c^6}\right)+{\mathrm{tan}\left(e+f\,x\right)}^4\,\left(\frac{609\,A}{640\,a^3\,c^6}+\frac{B\,203{}\mathrm{i}}{640\,a^3\,c^6}\right)-{\mathrm{tan}\left(e+f\,x\right)}^3\,\left(-\frac{413\,B}{1920\,a^3\,c^6}+\frac{A\,413{}\mathrm{i}}{640\,a^3\,c^6}\right)+\frac{7\,A}{30\,a^3\,c^6}-\frac{B\,1{}\mathrm{i}}{30\,a^3\,c^6}}{f\,\left(-{\mathrm{tan}\left(e+f\,x\right)}^9-{\mathrm{tan}\left(e+f\,x\right)}^8\,3{}\mathrm{i}-{\mathrm{tan}\left(e+f\,x\right)}^6\,8{}\mathrm{i}+6\,{\mathrm{tan}\left(e+f\,x\right)}^5-{\mathrm{tan}\left(e+f\,x\right)}^4\,6{}\mathrm{i}+8\,{\mathrm{tan}\left(e+f\,x\right)}^3+3\,\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}+\frac{7\,x\,\left(3\,A+B\,1{}\mathrm{i}\right)}{128\,a^3\,c^6}","Not used",1,"(tan(e + f*x)*((A*87i)/(640*a^3*c^6) - (29*B)/(640*a^3*c^6)) - tan(e + f*x)^8*((21*A)/(128*a^3*c^6) + (B*7i)/(128*a^3*c^6)) - tan(e + f*x)^7*((A*63i)/(128*a^3*c^6) - (21*B)/(128*a^3*c^6)) + tan(e + f*x)^2*((129*A)/(128*a^3*c^6) + (B*43i)/(128*a^3*c^6)) - tan(e + f*x)^5*((A*147i)/(128*a^3*c^6) - (49*B)/(128*a^3*c^6)) + tan(e + f*x)^6*((7*A)/(128*a^3*c^6) + (B*7i)/(384*a^3*c^6)) + tan(e + f*x)^4*((609*A)/(640*a^3*c^6) + (B*203i)/(640*a^3*c^6)) - tan(e + f*x)^3*((A*413i)/(640*a^3*c^6) - (413*B)/(1920*a^3*c^6)) + (7*A)/(30*a^3*c^6) - (B*1i)/(30*a^3*c^6))/(f*(3*tan(e + f*x) + 8*tan(e + f*x)^3 - tan(e + f*x)^4*6i + 6*tan(e + f*x)^5 - tan(e + f*x)^6*8i - tan(e + f*x)^8*3i - tan(e + f*x)^9 + 1i)) + (7*x*(3*A + B*1i))/(128*a^3*c^6)","B"
740,1,101,62,14.384177,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(7/2),x)","\frac{16\,a\,c^3\,\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(A\,9{}\mathrm{i}-5\,B+A\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,9{}\mathrm{i}+9\,B\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}{63\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(16*a*c^3*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(A*9i - 5*B + A*exp(e*2i + f*x*2i)*9i + 9*B*exp(e*2i + f*x*2i)))/(63*f*(exp(e*2i + f*x*2i) + 1)^4)","B"
741,1,101,62,15.529067,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\frac{8\,a\,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(A\,7{}\mathrm{i}-3\,B+A\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,7{}\mathrm{i}+7\,B\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}{35\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(8*a*c^2*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(A*7i - 3*B + A*exp(e*2i + f*x*2i)*7i + 7*B*exp(e*2i + f*x*2i)))/(35*f*(exp(e*2i + f*x*2i) + 1)^3)","B"
742,1,99,62,11.948341,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{4\,a\,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(A\,5{}\mathrm{i}-B+A\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,5{}\mathrm{i}+5\,B\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\right)}{15\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"(4*a*c*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(A*5i - B + A*exp(e*2i + f*x*2i)*5i + 5*B*exp(e*2i + f*x*2i)))/(15*f*(exp(e*2i + f*x*2i) + 1)^2)","B"
743,1,102,60,0.685267,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(1/2),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(A\,3{}\mathrm{i}+2\,B+A\,\left(2\,{\cos\left(e+f\,x\right)}^2-1\right)\,3{}\mathrm{i}+2\,B\,\left(2\,{\cos\left(e+f\,x\right)}^2-1\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{3\,f\,{\cos\left(e+f\,x\right)}^2}","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)*(A*3i + 2*B + A*(2*cos(e + f*x)^2 - 1)*3i + 2*B*(2*cos(e + f*x)^2 - 1) + B*sin(2*e + 2*f*x)*1i))/(3*f*cos(e + f*x)^2)","B"
744,1,164,58,10.164489,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i))/(c - c*tan(e + f*x)*1i)^(1/2),x)","-\frac{a\,\sqrt{\frac{2\,c}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,\left(A\,1{}\mathrm{i}+3\,B+A\,\left(\frac{{\mathrm{e}}^{-e\,2{}\mathrm{i}-f\,x\,2{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}}{2}\right)\,1{}\mathrm{i}-A\,\left(\frac{{\mathrm{e}}^{-e\,2{}\mathrm{i}-f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)+B\,\left(\frac{{\mathrm{e}}^{-e\,2{}\mathrm{i}-f\,x\,2{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}}{2}\right)+B\,\left(\frac{{\mathrm{e}}^{-e\,2{}\mathrm{i}-f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)\,1{}\mathrm{i}\right)}{c\,f}","Not used",1,"-(a*((2*c)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(A*1i + 3*B + A*(exp(- e*2i - f*x*2i)/2 + exp(e*2i + f*x*2i)/2)*1i - A*((exp(- e*2i - f*x*2i)*1i)/2 - (exp(e*2i + f*x*2i)*1i)/2) + B*(exp(- e*2i - f*x*2i)/2 + exp(e*2i + f*x*2i)/2) + B*((exp(- e*2i - f*x*2i)*1i)/2 - (exp(e*2i + f*x*2i)*1i)/2)*1i))/(c*f)","B"
745,1,170,60,10.188992,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(B\,\left(2\,{\cos\left(2\,e+2\,f\,x\right)}^2-1\right)-4\,B\,\left(2\,{\cos\left(e+f\,x\right)}^2-1\right)-2\,A\,\sin\left(2\,e+2\,f\,x\right)-A\,\sin\left(4\,e+4\,f\,x\right)-5\,B+A\,1{}\mathrm{i}+A\,\left(2\,{\cos\left(e+f\,x\right)}^2-1\right)\,2{}\mathrm{i}-B\,\sin\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+A\,\left(2\,{\cos\left(2\,e+2\,f\,x\right)}^2-1\right)\,1{}\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)*(A*1i - 5*B + A*(2*cos(e + f*x)^2 - 1)*2i - 4*B*(2*cos(e + f*x)^2 - 1) - 2*A*sin(2*e + 2*f*x) - A*sin(4*e + 4*f*x) - B*sin(2*e + 2*f*x)*4i + B*sin(4*e + 4*f*x)*1i + A*(2*cos(2*e + 2*f*x)^2 - 1)*1i + B*(2*cos(2*e + 2*f*x)^2 - 1)))/(6*c^2*f)","B"
746,1,232,62,10.953400,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(7\,B+11\,B\,\left(2\,{\cos\left(e+f\,x\right)}^2-1\right)+9\,A\,\sin\left(2\,e+2\,f\,x\right)+9\,A\,\sin\left(4\,e+4\,f\,x\right)+3\,A\,\sin\left(6\,e+6\,f\,x\right)+B\,\left(2\,{\cos\left(2\,e+2\,f\,x\right)}^2-1\right)-3\,B\,\left(2\,{\cos\left(3\,e+3\,f\,x\right)}^2-1\right)-A\,3{}\mathrm{i}-A\,\left(2\,{\cos\left(e+f\,x\right)}^2-1\right)\,9{}\mathrm{i}+B\,\sin\left(2\,e+2\,f\,x\right)\,11{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-B\,\sin\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}-A\,\left(2\,{\cos\left(2\,e+2\,f\,x\right)}^2-1\right)\,9{}\mathrm{i}-A\,\left(2\,{\cos\left(3\,e+3\,f\,x\right)}^2-1\right)\,3{}\mathrm{i}\right)}{60\,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)*(7*B - A*3i - A*(2*cos(e + f*x)^2 - 1)*9i + 11*B*(2*cos(e + f*x)^2 - 1) + 9*A*sin(2*e + 2*f*x) + 9*A*sin(4*e + 4*f*x) + 3*A*sin(6*e + 6*f*x) + B*sin(2*e + 2*f*x)*11i + B*sin(4*e + 4*f*x)*1i - B*sin(6*e + 6*f*x)*3i - A*(2*cos(2*e + 2*f*x)^2 - 1)*9i - A*(2*cos(3*e + 3*f*x)^2 - 1)*3i + B*(2*cos(2*e + 2*f*x)^2 - 1) - 3*B*(2*cos(3*e + 3*f*x)^2 - 1)))/(60*c^3*f)","B"
747,1,157,62,12.227158,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i))/(c - c*tan(e + f*x)*1i)^(7/2),x)","-\sqrt{c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}\,\left(\frac{a\,\left(5\,A+B\,9{}\mathrm{i}\right)\,1{}\mathrm{i}}{280\,c^4\,f}+\frac{a\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{56\,c^4\,f}+\frac{a\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(5\,A+B\,2{}\mathrm{i}\right)\,3{}\mathrm{i}}{140\,c^4\,f}+\frac{a\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(10\,A+B\,11{}\mathrm{i}\right)\,1{}\mathrm{i}}{140\,c^4\,f}+\frac{a\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(10\,A-B\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{140\,c^4\,f}\right)","Not used",1,"-(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)*((a*(5*A + B*9i)*1i)/(280*c^4*f) + (a*exp(e*8i + f*x*8i)*(A - B*1i)*1i)/(56*c^4*f) + (a*exp(e*4i + f*x*4i)*(5*A + B*2i)*3i)/(140*c^4*f) + (a*exp(e*2i + f*x*2i)*(10*A + B*11i)*1i)/(140*c^4*f) + (a*exp(e*6i + f*x*6i)*(10*A - B*3i)*1i)/(140*c^4*f))","B"
748,1,132,105,13.891721,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(7/2),x)","\frac{32\,a^2\,c^3\,\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(A\,22{}\mathrm{i}-6\,B+A\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,121{}\mathrm{i}+A\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,99{}\mathrm{i}-33\,B\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+99\,B\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\right)}{693\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"(32*a^2*c^3*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(A*22i - 6*B + A*exp(e*2i + f*x*2i)*121i + A*exp(e*4i + f*x*4i)*99i - 33*B*exp(e*2i + f*x*2i) + 99*B*exp(e*4i + f*x*4i)))/(693*f*(exp(e*2i + f*x*2i) + 1)^5)","B"
749,1,132,105,15.338465,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(5/2),x)","\frac{16\,a^2\,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(A\,18{}\mathrm{i}-2\,B+A\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,81{}\mathrm{i}+A\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,63{}\mathrm{i}-9\,B\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+63\,B\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\right)}{315\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(16*a^2*c^2*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(A*18i - 2*B + A*exp(e*2i + f*x*2i)*81i + A*exp(e*4i + f*x*4i)*63i - 9*B*exp(e*2i + f*x*2i) + 63*B*exp(e*4i + f*x*4i)))/(315*f*(exp(e*2i + f*x*2i) + 1)^4)","B"
750,1,130,105,13.672395,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(3/2),x)","\frac{8\,a^2\,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(A\,14{}\mathrm{i}+2\,B+A\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,49{}\mathrm{i}+A\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,35{}\mathrm{i}+7\,B\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+35\,B\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\right)}{105\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(8*a^2*c*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*(A*14i + 2*B + A*exp(e*2i + f*x*2i)*49i + A*exp(e*4i + f*x*4i)*35i + 7*B*exp(e*2i + f*x*2i) + 35*B*exp(e*4i + f*x*4i)))/(105*f*(exp(e*2i + f*x*2i) + 1)^3)","B"
751,1,241,103,11.989492,"\text{Not used}","int((A + B*tan(e + f*x))*(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(A\,250{}\mathrm{i}+174\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,375{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,150{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,25{}\mathrm{i}+267\,B\,\cos\left(2\,e+2\,f\,x\right)+114\,B\,\cos\left(4\,e+4\,f\,x\right)+21\,B\,\cos\left(6\,e+6\,f\,x\right)-25\,A\,\sin\left(2\,e+2\,f\,x\right)-20\,A\,\sin\left(4\,e+4\,f\,x\right)-5\,A\,\sin\left(6\,e+6\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,45{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,36{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,9{}\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,"(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)*(A*250i + 174*B + A*cos(2*e + 2*f*x)*375i + A*cos(4*e + 4*f*x)*150i + A*cos(6*e + 6*f*x)*25i + 267*B*cos(2*e + 2*f*x) + 114*B*cos(4*e + 4*f*x) + 21*B*cos(6*e + 6*f*x) - 25*A*sin(2*e + 2*f*x) - 20*A*sin(4*e + 4*f*x) - 5*A*sin(6*e + 6*f*x) + B*sin(2*e + 2*f*x)*45i + B*sin(4*e + 4*f*x)*36i + B*sin(6*e + 6*f*x)*9i))/(15*f*(15*cos(2*e + 2*f*x) + 6*cos(4*e + 4*f*x) + cos(6*e + 6*f*x) + 10))","B"
752,1,176,101,10.773637,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i)^(1/2),x)","-\frac{2\,\sqrt{2}\,a^2\,\sqrt{\frac{c}{\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}}}\,\left(A\,6{}\mathrm{i}+10\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,9{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}+15\,B\,\cos\left(2\,e+2\,f\,x\right)+3\,B\,\cos\left(4\,e+4\,f\,x\right)-9\,A\,\sin\left(2\,e+2\,f\,x\right)-3\,A\,\sin\left(4\,e+4\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,15{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}\right)}{3\,c\,f\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"-(2*2^(1/2)*a^2*(c/(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))^(1/2)*(A*6i + 10*B + A*cos(2*e + 2*f*x)*9i + A*cos(4*e + 4*f*x)*3i + 15*B*cos(2*e + 2*f*x) + 3*B*cos(4*e + 4*f*x) - 9*A*sin(2*e + 2*f*x) - 3*A*sin(4*e + 4*f*x) + B*sin(2*e + 2*f*x)*15i + B*sin(4*e + 4*f*x)*3i))/(3*c*f*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))","B"
753,1,158,101,10.146612,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,2{}\mathrm{i}+14\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-A\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+7\,B\,\cos\left(2\,e+2\,f\,x\right)-B\,\cos\left(4\,e+4\,f\,x\right)-A\,\sin\left(2\,e+2\,f\,x\right)+A\,\sin\left(4\,e+4\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,7{}\mathrm{i}-B\,\sin\left(4\,e+4\,f\,x\right)\,1{}\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)*(A*2i + 14*B + A*cos(2*e + 2*f*x)*1i - A*cos(4*e + 4*f*x)*1i + 7*B*cos(2*e + 2*f*x) - B*cos(4*e + 4*f*x) - A*sin(2*e + 2*f*x) + A*sin(4*e + 4*f*x) + B*sin(2*e + 2*f*x)*7i - B*sin(4*e + 4*f*x)*1i))/(3*c^2*f)","B"
754,1,208,103,11.362039,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(18\,B-A\,2{}\mathrm{i}-A\,\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,4{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}+9\,B\,\cos\left(2\,e+2\,f\,x\right)-6\,B\,\cos\left(4\,e+4\,f\,x\right)+3\,B\,\cos\left(6\,e+6\,f\,x\right)+A\,\sin\left(2\,e+2\,f\,x\right)-4\,A\,\sin\left(4\,e+4\,f\,x\right)-3\,A\,\sin\left(6\,e+6\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,9{}\mathrm{i}-B\,\sin\left(4\,e+4\,f\,x\right)\,6{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,3{}\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)*(18*B - A*2i - A*cos(2*e + 2*f*x)*1i + A*cos(4*e + 4*f*x)*4i + A*cos(6*e + 6*f*x)*3i + 9*B*cos(2*e + 2*f*x) - 6*B*cos(4*e + 4*f*x) + 3*B*cos(6*e + 6*f*x) + A*sin(2*e + 2*f*x) - 4*A*sin(4*e + 4*f*x) - 3*A*sin(6*e + 6*f*x) + B*sin(2*e + 2*f*x)*9i - B*sin(4*e + 4*f*x)*6i + B*sin(6*e + 6*f*x)*3i))/(30*c^3*f)","B"
755,1,167,105,11.807962,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^2)/(c - c*tan(e + f*x)*1i)^(7/2),x)","-\sqrt{c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}\,\left(-\frac{a^2\,\left(3\,A+B\,11{}\mathrm{i}\right)\,1{}\mathrm{i}}{210\,c^4\,f}-\frac{a^2\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(3\,A+B\,11{}\mathrm{i}\right)\,1{}\mathrm{i}}{420\,c^4\,f}+\frac{a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(13\,A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{140\,c^4\,f}+\frac{a^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(27\,A+B\,29{}\mathrm{i}\right)\,1{}\mathrm{i}}{420\,c^4\,f}+\frac{a^2\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{28\,c^4\,f}\right)","Not used",1,"-(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)*((a^2*exp(e*6i + f*x*6i)*(13*A + B*1i)*1i)/(140*c^4*f) - (a^2*exp(e*2i + f*x*2i)*(3*A + B*11i)*1i)/(420*c^4*f) - (a^2*(3*A + B*11i)*1i)/(210*c^4*f) + (a^2*exp(e*4i + f*x*4i)*(27*A + B*29i)*1i)/(420*c^4*f) + (a^2*exp(e*8i + f*x*8i)*(A - B*1i)*1i)/(28*c^4*f))","B"
756,1,349,144,15.066805,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(7/2),x)","-\frac{\left(\frac{a^3\,c^3\,\left(A-B\,1{}\mathrm{i}\right)\,64{}\mathrm{i}}{9\,f}+\frac{a^3\,c^3\,\left(A-B\,3{}\mathrm{i}\right)\,64{}\mathrm{i}}{9\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\left(\frac{a^3\,c^3\,\left(A-B\,1{}\mathrm{i}\right)\,64{}\mathrm{i}}{13\,f}-\frac{a^3\,c^3\,\left(A+B\,1{}\mathrm{i}\right)\,64{}\mathrm{i}}{13\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^6}+\frac{\left(\frac{256\,B\,a^3\,c^3}{11\,f}+\frac{a^3\,c^3\,\left(A-B\,1{}\mathrm{i}\right)\,64{}\mathrm{i}}{11\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{a^3\,c^3\,\left(A-B\,1{}\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}}\,64{}\mathrm{i}}{7\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(((a^3*c^3*(A - B*1i)*64i)/(11*f) + (256*B*a^3*c^3)/(11*f))*(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) + 1)^5 - (((a^3*c^3*(A - B*1i)*64i)/(13*f) - (a^3*c^3*(A + B*1i)*64i)/(13*f))*(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) + 1)^6 - (((a^3*c^3*(A - B*1i)*64i)/(9*f) + (a^3*c^3*(A - B*3i)*64i)/(9*f))*(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) + 1)^4 + (a^3*c^3*(A - B*1i)*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*64i)/(7*f*(exp(e*2i + f*x*2i) + 1)^3)","B"
757,1,349,144,14.475011,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(5/2),x)","-\frac{\left(\frac{a^3\,c^2\,\left(A-B\,1{}\mathrm{i}\right)\,32{}\mathrm{i}}{7\,f}+\frac{a^3\,c^2\,\left(A-B\,3{}\mathrm{i}\right)\,32{}\mathrm{i}}{7\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\left(\frac{a^3\,c^2\,\left(A-B\,1{}\mathrm{i}\right)\,32{}\mathrm{i}}{11\,f}-\frac{a^3\,c^2\,\left(A+B\,1{}\mathrm{i}\right)\,32{}\mathrm{i}}{11\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{\left(\frac{128\,B\,a^3\,c^2}{9\,f}+\frac{a^3\,c^2\,\left(A-B\,1{}\mathrm{i}\right)\,32{}\mathrm{i}}{9\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{a^3\,c^2\,\left(A-B\,1{}\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}}\,32{}\mathrm{i}}{5\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"(((a^3*c^2*(A - B*1i)*32i)/(9*f) + (128*B*a^3*c^2)/(9*f))*(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) + 1)^4 - (((a^3*c^2*(A - B*1i)*32i)/(11*f) - (a^3*c^2*(A + B*1i)*32i)/(11*f))*(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) + 1)^5 - (((a^3*c^2*(A - B*1i)*32i)/(7*f) + (a^3*c^2*(A - B*3i)*32i)/(7*f))*(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) + 1)^3 + (a^3*c^2*(A - B*1i)*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*32i)/(5*f*(exp(e*2i + f*x*2i) + 1)^2)","B"
758,1,335,144,14.077519,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(3/2),x)","-\frac{\left(\frac{a^3\,c\,\left(A-B\,1{}\mathrm{i}\right)\,16{}\mathrm{i}}{5\,f}+\frac{a^3\,c\,\left(A-B\,3{}\mathrm{i}\right)\,16{}\mathrm{i}}{5\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\left(\frac{a^3\,c\,\left(A-B\,1{}\mathrm{i}\right)\,16{}\mathrm{i}}{9\,f}-\frac{a^3\,c\,\left(A+B\,1{}\mathrm{i}\right)\,16{}\mathrm{i}}{9\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{\left(\frac{64\,B\,a^3\,c}{7\,f}+\frac{a^3\,c\,\left(A-B\,1{}\mathrm{i}\right)\,16{}\mathrm{i}}{7\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a^3\,c\,\left(A-B\,1{}\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}}\,16{}\mathrm{i}}{3\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}","Not used",1,"(((a^3*c*(A - B*1i)*16i)/(7*f) + (64*B*a^3*c)/(7*f))*(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) + 1)^3 - (((a^3*c*(A - B*1i)*16i)/(9*f) - (a^3*c*(A + B*1i)*16i)/(9*f))*(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) + 1)^4 - (((a^3*c*(A - B*1i)*16i)/(5*f) + (a^3*c*(A - B*3i)*16i)/(5*f))*(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) + 1)^2 + (a^3*c*(A - B*1i)*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*16i)/(3*f*(exp(e*2i + f*x*2i) + 1))","B"
759,1,313,142,13.583237,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(1/2),x)","-\frac{\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(\frac{a^3\,\left(A-B\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{3\,f}+\frac{a^3\,\left(A-B\,3{}\mathrm{i}\right)\,8{}\mathrm{i}}{3\,f}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}-\frac{\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(\frac{a^3\,\left(A-B\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{7\,f}-\frac{a^3\,\left(A+B\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{7\,f}\right)}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{\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(\frac{32\,B\,a^3}{5\,f}+\frac{a^3\,\left(A-B\,1{}\mathrm{i}\right)\,8{}\mathrm{i}}{5\,f}\right)}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{a^3\,\left(A-B\,1{}\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}}\,8{}\mathrm{i}}{f}","Not used",1,"((c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*((a^3*(A - B*1i)*8i)/(5*f) + (32*B*a^3)/(5*f)))/(exp(e*2i + f*x*2i) + 1)^2 - ((c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*((a^3*(A - B*1i)*8i)/(7*f) - (a^3*(A + B*1i)*8i)/(7*f)))/(exp(e*2i + f*x*2i) + 1)^3 - ((c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*((a^3*(A - B*1i)*8i)/(3*f) + (a^3*(A - B*3i)*8i)/(3*f)))/(exp(e*2i + f*x*2i) + 1) + (a^3*(A - B*1i)*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*8i)/f","B"
760,1,351,140,12.429978,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^(1/2),x)","-\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(\frac{a^3\,\left(A-B\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{c\,f}+\frac{a^3\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{c\,f}\right)-\left(\frac{a^3\,\left(A-B\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{c\,f}+\frac{a^3\,\left(A-B\,3{}\mathrm{i}\right)\,4{}\mathrm{i}}{c\,f}\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}}-\frac{\left(\frac{a^3\,\left(A-B\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{5\,c\,f}-\frac{a^3\,\left(A+B\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{5\,c\,f}\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}}}{{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\left(\frac{16\,B\,a^3}{3\,c\,f}+\frac{a^3\,\left(A-B\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{3\,c\,f}\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}}}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}","Not used",1,"(((a^3*(A - B*1i)*4i)/(3*c*f) + (16*B*a^3)/(3*c*f))*(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) + 1) - ((a^3*(A - B*1i)*4i)/(c*f) + (a^3*(A - B*3i)*4i)/(c*f))*(c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2) - (((a^3*(A - B*1i)*4i)/(5*c*f) - (a^3*(A + B*1i)*4i)/(5*c*f))*(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) + 1)^2 - (c + (c*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(1/2)*((a^3*(A - B*1i)*4i)/(c*f) + (a^3*exp(e*2i + f*x*2i)*(A - B*1i)*4i)/(c*f))","B"
761,1,221,140,10.705551,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^(3/2),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(A\,20{}\mathrm{i}+60\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,23{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,2{}\mathrm{i}-A\,\cos\left(6\,e+6\,f\,x\right)\,1{}\mathrm{i}+69\,B\,\cos\left(2\,e+2\,f\,x\right)+8\,B\,\cos\left(4\,e+4\,f\,x\right)-B\,\cos\left(6\,e+6\,f\,x\right)-7\,A\,\sin\left(2\,e+2\,f\,x\right)-2\,A\,\sin\left(4\,e+4\,f\,x\right)+A\,\sin\left(6\,e+6\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,21{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,8{}\mathrm{i}-B\,\sin\left(6\,e+6\,f\,x\right)\,1{}\mathrm{i}\right)}{3\,c^2\,f\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)}","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)*(A*20i + 60*B + A*cos(2*e + 2*f*x)*23i + A*cos(4*e + 4*f*x)*2i - A*cos(6*e + 6*f*x)*1i + 69*B*cos(2*e + 2*f*x) + 8*B*cos(4*e + 4*f*x) - B*cos(6*e + 6*f*x) - 7*A*sin(2*e + 2*f*x) - 2*A*sin(4*e + 4*f*x) + A*sin(6*e + 6*f*x) + B*sin(2*e + 2*f*x)*21i + B*sin(4*e + 4*f*x)*8i - B*sin(6*e + 6*f*x)*1i))/(3*c^2*f*(cos(2*e + 2*f*x) + 1))","B"
762,1,208,140,10.278104,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,8{}\mathrm{i}+88\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}-A\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}+44\,B\,\cos\left(2\,e+2\,f\,x\right)-11\,B\,\cos\left(4\,e+4\,f\,x\right)+3\,B\,\cos\left(6\,e+6\,f\,x\right)-4\,A\,\sin\left(2\,e+2\,f\,x\right)+A\,\sin\left(4\,e+4\,f\,x\right)-3\,A\,\sin\left(6\,e+6\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,44{}\mathrm{i}-B\,\sin\left(4\,e+4\,f\,x\right)\,11{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,3{}\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)*(A*8i + 88*B + A*cos(2*e + 2*f*x)*4i - A*cos(4*e + 4*f*x)*1i + A*cos(6*e + 6*f*x)*3i + 44*B*cos(2*e + 2*f*x) - 11*B*cos(4*e + 4*f*x) + 3*B*cos(6*e + 6*f*x) - 4*A*sin(2*e + 2*f*x) + A*sin(4*e + 4*f*x) - 3*A*sin(6*e + 6*f*x) + B*sin(2*e + 2*f*x)*44i - B*sin(4*e + 4*f*x)*11i + B*sin(6*e + 6*f*x)*3i))/(15*c^3*f)","B"
763,1,161,142,10.726560,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^3)/(c - c*tan(e + f*x)*1i)^(7/2),x)","-\sqrt{c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^3\,\left(A+B\,13{}\mathrm{i}\right)\,4{}\mathrm{i}}{105\,c^4\,f}+\frac{a^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(3\,A+B\,4{}\mathrm{i}\right)\,1{}\mathrm{i}}{35\,c^4\,f}+\frac{a^3\,{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,\left(A+B\,13{}\mathrm{i}\right)\,2{}\mathrm{i}}{105\,c^4\,f}+\frac{a^3\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{14\,c^4\,f}-\frac{a^3\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(A+B\,13{}\mathrm{i}\right)\,1{}\mathrm{i}}{210\,c^4\,f}\right)","Not used",1,"-(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)*((a^3*(A + B*13i)*4i)/(105*c^4*f) + (a^3*exp(e*6i + f*x*6i)*(3*A + B*4i)*1i)/(35*c^4*f) + (a^3*exp(e*2i + f*x*2i)*(A + B*13i)*2i)/(105*c^4*f) + (a^3*exp(e*8i + f*x*8i)*(A - B*1i)*1i)/(14*c^4*f) - (a^3*exp(e*4i + f*x*4i)*(A + B*13i)*1i)/(210*c^4*f))","B"
764,1,298,220,1.482938,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(7/2))/(a + a*tan(e + f*x)*1i),x)","\frac{4\,B\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-2\,a\,c\,f}+\frac{A\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,8{}\mathrm{i}}{a\,f}+\frac{A\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,a\,f}-\frac{16\,B\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a\,f}-\frac{2\,B\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{a\,f}-\frac{2\,B\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a\,f}+\frac{\sqrt{2}\,A\,{\left(-c\right)}^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-c}}\right)\,10{}\mathrm{i}}{a\,f}-\frac{\sqrt{2}\,B\,c^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,18{}\mathrm{i}}{a\,f}+\frac{A\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,4{}\mathrm{i}}{a\,f\,\left(c+c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(4*B*c^4*(c - c*tan(e + f*x)*1i)^(1/2))/(a*f*(c - c*tan(e + f*x)*1i) - 2*a*c*f) + (A*c^3*(c - c*tan(e + f*x)*1i)^(1/2)*8i)/(a*f) + (A*c^2*(c - c*tan(e + f*x)*1i)^(3/2)*2i)/(3*a*f) - (16*B*c^3*(c - c*tan(e + f*x)*1i)^(1/2))/(a*f) - (2*B*c^2*(c - c*tan(e + f*x)*1i)^(3/2))/(a*f) - (2*B*c*(c - c*tan(e + f*x)*1i)^(5/2))/(5*a*f) + (2^(1/2)*A*(-c)^(7/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*10i)/(a*f) - (2^(1/2)*B*c^(7/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(2*c^(1/2)))*18i)/(a*f) + (A*c^4*(c - c*tan(e + f*x)*1i)^(1/2)*4i)/(a*f*(c + c*tan(e + f*x)*1i))","B"
765,1,245,180,1.255592,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i),x)","\frac{2\,B\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-2\,a\,c\,f}+\frac{A\,c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a\,f}-\frac{6\,B\,c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a\,f}-\frac{2\,B\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a\,f}-\frac{\sqrt{2}\,A\,{\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{\sqrt{2}\,B\,c^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,7{}\mathrm{i}}{a\,f}+\frac{A\,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,"(2*B*c^3*(c - c*tan(e + f*x)*1i)^(1/2))/(a*f*(c - c*tan(e + f*x)*1i) - 2*a*c*f) + (A*c^2*(c - c*tan(e + f*x)*1i)^(1/2)*2i)/(a*f) - (6*B*c^2*(c - c*tan(e + f*x)*1i)^(1/2))/(a*f) - (2*B*c*(c - c*tan(e + f*x)*1i)^(3/2))/(3*a*f) - (2^(1/2)*A*(-c)^(5/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*3i)/(a*f) - (2^(1/2)*B*c^(5/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(2*c^(1/2)))*7i)/(a*f) + (A*c^3*(c - c*tan(e + f*x)*1i)^(1/2)*2i)/(a*f*(c + c*tan(e + f*x)*1i))","B"
766,1,189,144,9.773465,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(3/2))/(a + a*tan(e + f*x)*1i),x)","\frac{B\,c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)-2\,a\,c\,f}-\frac{2\,B\,c\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a\,f}+\frac{\sqrt{2}\,A\,{\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{5\,\sqrt{2}\,B\,c^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{2\,a\,f}+\frac{A\,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,"(B*c^2*(c - c*tan(e + f*x)*1i)^(1/2))/(a*f*(c - c*tan(e + f*x)*1i) - 2*a*c*f) - (2*B*c*(c - c*tan(e + f*x)*1i)^(1/2))/(a*f) + (2^(1/2)*A*(-c)^(3/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*1i)/(2*a*f) + (5*2^(1/2)*B*c^(3/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(2*a*f) + (A*c^2*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(a*f*(c + c*tan(e + f*x)*1i))","B"
767,1,159,109,9.560045,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(1/2))/(a + a*tan(e + f*x)*1i),x)","-\frac{B\,c\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\left(a\,c\,f+a\,c\,f\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{A\,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)}+\frac{\sqrt{2}\,A\,\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{3\,\sqrt{2}\,B\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{4\,a\,f}","Not used",1,"(A*c*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(2*a*f*(c + c*tan(e + f*x)*1i)) - (B*c*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(a*c*f + a*c*f*tan(e + f*x)*1i)) + (2^(1/2)*A*(-c)^(1/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*1i)/(4*a*f) + (3*2^(1/2)*B*c^(1/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(4*a*f)","B"
768,1,212,141,9.852946,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(1/2)),x)","\frac{B\,c-\frac{B\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{4}}{a\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}-2\,a\,c\,f\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}+\frac{\frac{A\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,3{}\mathrm{i}}{4\,a\,f}-\frac{A\,c\,1{}\mathrm{i}}{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}\,A\,\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}+\frac{\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{8\,a\,\sqrt{c}\,f}","Not used",1,"(B*c - (B*(c - c*tan(e + f*x)*1i))/4)/(a*f*(c - c*tan(e + f*x)*1i)^(3/2) - 2*a*c*f*(c - c*tan(e + f*x)*1i)^(1/2)) + ((A*(c - c*tan(e + f*x)*1i)*3i)/(4*a*f) - (A*c*1i)/(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)*A*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*3i)/(8*a*(-c)^(1/2)*f) + (2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(8*a*c^(1/2)*f)","B"
769,1,261,184,10.325031,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(3/2)),x)","\frac{\frac{B\,c}{3}-\frac{B\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{6}+\frac{B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{8\,c}}{a\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-2\,a\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\frac{A\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,5{}\mathrm{i}}{6\,a\,f}+\frac{A\,c\,1{}\mathrm{i}}{3\,a\,f}-\frac{A\,{\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}\,A\,\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}-\frac{\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{16\,a\,c^{3/2}\,f}","Not used",1,"((B*c)/3 - (B*(c - c*tan(e + f*x)*1i))/6 + (B*(c - c*tan(e + f*x)*1i)^2)/(8*c))/(a*f*(c - c*tan(e + f*x)*1i)^(5/2) - 2*a*c*f*(c - c*tan(e + f*x)*1i)^(3/2)) - ((A*(c - c*tan(e + f*x)*1i)*5i)/(6*a*f) + (A*c*1i)/(3*a*f) - (A*(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)) + (2^(1/2)*A*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*5i)/(16*a*(-c)^(3/2)*f) - (2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(16*a*c^(3/2)*f)","B"
770,1,308,223,10.834931,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)*(c - c*tan(e + f*x)*1i)^(5/2)),x)","\frac{\frac{B\,c}{5}-\frac{B\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{10}-\frac{B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{4\,c}+\frac{3\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}{16\,c^2}}{a\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}-2\,a\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{\frac{A\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{30\,a\,f}+\frac{A\,c\,1{}\mathrm{i}}{5\,a\,f}+\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,7{}\mathrm{i}}{12\,a\,c\,f}-\frac{A\,{\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}\,A\,\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}-\frac{3\,\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{32\,a\,c^{5/2}\,f}","Not used",1,"((B*c)/5 - (B*(c - c*tan(e + f*x)*1i))/10 - (B*(c - c*tan(e + f*x)*1i)^2)/(4*c) + (3*B*(c - c*tan(e + f*x)*1i)^3)/(16*c^2))/(a*f*(c - c*tan(e + f*x)*1i)^(7/2) - 2*a*c*f*(c - c*tan(e + f*x)*1i)^(5/2)) - ((A*(c - c*tan(e + f*x)*1i)*7i)/(30*a*f) + (A*c*1i)/(5*a*f) + (A*(c - c*tan(e + f*x)*1i)^2*7i)/(12*a*c*f) - (A*(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)*A*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*7i)/(32*a*(-c)^(5/2)*f) - (3*2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(32*a*c^(5/2)*f)","B"
771,1,402,275,9.562594,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(9/2))/(a + a*tan(e + f*x)*1i)^2,x)","\frac{38\,B\,c^6\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-21\,B\,c^5\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4\,a^2\,c^2\,f+a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,a^2\,c\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{\frac{A\,c^6\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,22{}\mathrm{i}}{a^2\,f}-\frac{A\,c^5\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,13{}\mathrm{i}}{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{A\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,12{}\mathrm{i}}{a^2\,f}-\frac{A\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,2{}\mathrm{i}}{3\,a^2\,f}+\frac{36\,B\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a^2\,f}+\frac{10\,B\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^2\,f}+\frac{2\,B\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{5\,a^2\,f}+\frac{\sqrt{2}\,A\,{\left(-c\right)}^{9/2}\,\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}}{2\,a^2\,f}+\frac{\sqrt{2}\,B\,c^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,91{}\mathrm{i}}{2\,a^2\,f}","Not used",1,"(38*B*c^6*(c - c*tan(e + f*x)*1i)^(1/2) - 21*B*c^5*(c - c*tan(e + f*x)*1i)^(3/2))/(4*a^2*c^2*f + a^2*f*(c - c*tan(e + f*x)*1i)^2 - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)) - ((A*c^6*(c - c*tan(e + f*x)*1i)^(1/2)*22i)/(a^2*f) - (A*c^5*(c - c*tan(e + f*x)*1i)^(3/2)*13i)/(a^2*f))/((c - c*tan(e + f*x)*1i)^2 - 4*c*(c - c*tan(e + f*x)*1i) + 4*c^2) - (A*c^4*(c - c*tan(e + f*x)*1i)^(1/2)*12i)/(a^2*f) - (A*c^3*(c - c*tan(e + f*x)*1i)^(3/2)*2i)/(3*a^2*f) + (36*B*c^4*(c - c*tan(e + f*x)*1i)^(1/2))/(a^2*f) + (10*B*c^3*(c - c*tan(e + f*x)*1i)^(3/2))/(3*a^2*f) + (2*B*c^2*(c - c*tan(e + f*x)*1i)^(5/2))/(5*a^2*f) + (2^(1/2)*A*(-c)^(9/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*35i)/(2*a^2*f) + (2^(1/2)*B*c^(9/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(2*c^(1/2)))*91i)/(2*a^2*f)","B"
772,1,349,238,9.394166,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(7/2))/(a + a*tan(e + f*x)*1i)^2,x)","\frac{15\,B\,c^5\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\frac{17\,B\,c^4\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{2}}{4\,a^2\,c^2\,f+a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,a^2\,c\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{\frac{A\,c^5\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,7{}\mathrm{i}}{a^2\,f}-\frac{A\,c^4\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,9{}\mathrm{i}}{2\,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{A\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a^2\,f}+\frac{10\,B\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a^2\,f}+\frac{2\,B\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^2\,f}-\frac{\sqrt{2}\,A\,{\left(-c\right)}^{7/2}\,\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}}{4\,a^2\,f}+\frac{\sqrt{2}\,B\,c^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,55{}\mathrm{i}}{4\,a^2\,f}","Not used",1,"(15*B*c^5*(c - c*tan(e + f*x)*1i)^(1/2) - (17*B*c^4*(c - c*tan(e + f*x)*1i)^(3/2))/2)/(4*a^2*c^2*f + a^2*f*(c - c*tan(e + f*x)*1i)^2 - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)) - ((A*c^5*(c - c*tan(e + f*x)*1i)^(1/2)*7i)/(a^2*f) - (A*c^4*(c - c*tan(e + f*x)*1i)^(3/2)*9i)/(2*a^2*f))/((c - c*tan(e + f*x)*1i)^2 - 4*c*(c - c*tan(e + f*x)*1i) + 4*c^2) - (A*c^3*(c - c*tan(e + f*x)*1i)^(1/2)*2i)/(a^2*f) + (10*B*c^3*(c - c*tan(e + f*x)*1i)^(1/2))/(a^2*f) + (2*B*c^2*(c - c*tan(e + f*x)*1i)^(3/2))/(3*a^2*f) - (2^(1/2)*A*(-c)^(7/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*15i)/(4*a^2*f) + (2^(1/2)*B*c^(7/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(2*c^(1/2)))*55i)/(4*a^2*f)","B"
773,1,294,199,9.358947,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\frac{11\,B\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2}-\frac{13\,B\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{4}}{4\,a^2\,c^2\,f+a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,a^2\,c\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{\frac{A\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,3{}\mathrm{i}}{2\,a^2\,f}-\frac{A\,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{2\,B\,c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a^2\,f}+\frac{\sqrt{2}\,A\,{\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}-\frac{27\,\sqrt{2}\,B\,c^{5/2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{8\,a^2\,f}","Not used",1,"((11*B*c^4*(c - c*tan(e + f*x)*1i)^(1/2))/2 - (13*B*c^3*(c - c*tan(e + f*x)*1i)^(3/2))/4)/(4*a^2*c^2*f + a^2*f*(c - c*tan(e + f*x)*1i)^2 - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)) - ((A*c^4*(c - c*tan(e + f*x)*1i)^(1/2)*3i)/(2*a^2*f) - (A*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) + (2*B*c^2*(c - c*tan(e + f*x)*1i)^(1/2))/(a^2*f) + (2^(1/2)*A*(-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) - (27*2^(1/2)*B*c^(5/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(8*a^2*f)","B"
774,1,267,160,9.393091,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(3/2))/(a + a*tan(e + f*x)*1i)^2,x)","\frac{\frac{7\,B\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{4}-\frac{9\,B\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{8}}{4\,a^2\,c^2\,f+a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,a^2\,c\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{\frac{A\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{4\,a^2\,f}+\frac{A\,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}\,A\,{\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}-\frac{7\,\sqrt{2}\,B\,c^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{16\,a^2\,f}","Not used",1,"((7*B*c^3*(c - c*tan(e + f*x)*1i)^(1/2))/4 - (9*B*c^2*(c - c*tan(e + f*x)*1i)^(3/2))/8)/(4*a^2*c^2*f + a^2*f*(c - c*tan(e + f*x)*1i)^2 - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)) + ((A*c^3*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(4*a^2*f) + (A*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)*A*(-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) - (7*2^(1/2)*B*c^(3/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(16*a^2*f)","B"
775,1,264,159,9.181109,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(1/2))/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{\frac{5\,B\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{16}-\frac{3\,B\,c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{8}}{4\,a^2\,c^2\,f+a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-4\,a^2\,c\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{\frac{A\,c^2\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,5{}\mathrm{i}}{8\,a^2\,f}-\frac{A\,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}\,A\,\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}+\frac{5\,\sqrt{2}\,B\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{32\,a^2\,f}","Not used",1,"((A*c^2*(c - c*tan(e + f*x)*1i)^(1/2)*5i)/(8*a^2*f) - (A*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) - ((5*B*c*(c - c*tan(e + f*x)*1i)^(3/2))/16 - (3*B*c^2*(c - c*tan(e + f*x)*1i)^(1/2))/8)/(4*a^2*c^2*f + a^2*f*(c - c*tan(e + f*x)*1i)^2 - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)) + (2^(1/2)*A*(-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) + (5*2^(1/2)*B*c^(1/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(32*a^2*f)","B"
776,1,305,195,9.441125,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(1/2)),x)","-\frac{\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,15{}\mathrm{i}}{32\,a^2\,f}+\frac{A\,c^2\,1{}\mathrm{i}}{a^2\,f}-\frac{A\,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{B\,c^2+\frac{9\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{32}-\frac{15\,B\,c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{16}}{a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-4\,a^2\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}+4\,a^2\,c^2\,f\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}-\frac{\sqrt{2}\,A\,\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}+\frac{9\,\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{64\,a^2\,\sqrt{c}\,f}","Not used",1,"(9*2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(64*a^2*c^(1/2)*f) - (B*c^2 + (9*B*(c - c*tan(e + f*x)*1i)^2)/32 - (15*B*c*(c - c*tan(e + f*x)*1i))/16)/(a^2*f*(c - c*tan(e + f*x)*1i)^(5/2) - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)^(3/2) + 4*a^2*c^2*f*(c - c*tan(e + f*x)*1i)^(1/2)) - (2^(1/2)*A*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) - ((A*(c - c*tan(e + f*x)*1i)^2*15i)/(32*a^2*f) + (A*c^2*1i)/(a^2*f) - (A*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))","B"
777,1,353,226,9.722747,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(3/2)),x)","-\frac{\frac{B\,c^2}{3}-\frac{25\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{96}+\frac{5\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}{64\,c}+\frac{B\,c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{6}}{a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}-4\,a^2\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}+4\,a^2\,c^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{-\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,175{}\mathrm{i}}{96\,a^2\,f}+\frac{A\,c^2\,1{}\mathrm{i}}{3\,a^2\,f}+\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,35{}\mathrm{i}}{64\,a^2\,c\,f}+\frac{A\,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}\,A\,\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}+\frac{5\,\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{128\,a^2\,c^{3/2}\,f}","Not used",1,"(2^(1/2)*A*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) - ((A*c^2*1i)/(3*a^2*f) - (A*(c - c*tan(e + f*x)*1i)^2*175i)/(96*a^2*f) + (A*(c - c*tan(e + f*x)*1i)^3*35i)/(64*a^2*c*f) + (A*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*c^2)/3 - (25*B*(c - c*tan(e + f*x)*1i)^2)/96 + (5*B*(c - c*tan(e + f*x)*1i)^3)/(64*c) + (B*c*(c - c*tan(e + f*x)*1i))/6)/(a^2*f*(c - c*tan(e + f*x)*1i)^(7/2) - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)^(5/2) + 4*a^2*c^2*f*(c - c*tan(e + f*x)*1i)^(3/2)) + (5*2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(128*a^2*c^(3/2)*f)","B"
778,1,399,273,10.142635,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^2*(c - c*tan(e + f*x)*1i)^(5/2)),x)","\frac{-\frac{B\,c^2}{5}+\frac{7\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{60}-\frac{35\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}{192\,c}+\frac{7\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4}{128\,c^2}+\frac{B\,c\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{30}}{a^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}-4\,a^2\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}+4\,a^2\,c^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}-\frac{\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,21{}\mathrm{i}}{20\,a^2\,f}+\frac{A\,c^2\,1{}\mathrm{i}}{5\,a^2\,f}-\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,105{}\mathrm{i}}{64\,a^2\,c\,f}+\frac{A\,{\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{A\,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}\,A\,\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}-\frac{7\,\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{256\,a^2\,c^{5/2}\,f}","Not used",1,"((7*B*(c - c*tan(e + f*x)*1i)^2)/60 - (B*c^2)/5 - (35*B*(c - c*tan(e + f*x)*1i)^3)/(192*c) + (7*B*(c - c*tan(e + f*x)*1i)^4)/(128*c^2) + (B*c*(c - c*tan(e + f*x)*1i))/30)/(a^2*f*(c - c*tan(e + f*x)*1i)^(9/2) - 4*a^2*c*f*(c - c*tan(e + f*x)*1i)^(7/2) + 4*a^2*c^2*f*(c - c*tan(e + f*x)*1i)^(5/2)) - ((A*(c - c*tan(e + f*x)*1i)^2*21i)/(20*a^2*f) + (A*c^2*1i)/(5*a^2*f) - (A*(c - c*tan(e + f*x)*1i)^3*105i)/(64*a^2*c*f) + (A*(c - c*tan(e + f*x)*1i)^4*63i)/(128*a^2*c^2*f) + (A*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)*A*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) - (7*2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(256*a^2*c^(5/2)*f)","B"
779,1,441,291,9.590531,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(9/2))/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{A\,c^7\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,19{}\mathrm{i}}{a^3\,f}-\frac{A\,c^6\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,68{}\mathrm{i}}{3\,a^3\,f}+\frac{A\,c^5\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,29{}\mathrm{i}}{4\,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{63\,B\,c^7\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\frac{212\,B\,c^6\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3}+\frac{81\,B\,c^5\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{4}}{8\,a^3\,c^3\,f-a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,a^3\,c^2\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{A\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,2{}\mathrm{i}}{a^3\,f}-\frac{14\,B\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a^3\,f}-\frac{2\,B\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3\,a^3\,f}-\frac{\sqrt{2}\,A\,{\left(-c\right)}^{9/2}\,\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}}{8\,a^3\,f}-\frac{\sqrt{2}\,B\,c^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,\sqrt{c}}\right)\,175{}\mathrm{i}}{8\,a^3\,f}","Not used",1,"((A*c^7*(c - c*tan(e + f*x)*1i)^(1/2)*19i)/(a^3*f) - (A*c^6*(c - c*tan(e + f*x)*1i)^(3/2)*68i)/(3*a^3*f) + (A*c^5*(c - c*tan(e + f*x)*1i)^(5/2)*29i)/(4*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) - (63*B*c^7*(c - c*tan(e + f*x)*1i)^(1/2) - (212*B*c^6*(c - c*tan(e + f*x)*1i)^(3/2))/3 + (81*B*c^5*(c - c*tan(e + f*x)*1i)^(5/2))/4)/(8*a^3*c^3*f - a^3*f*(c - c*tan(e + f*x)*1i)^3 + 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^2 - 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)) + (A*c^4*(c - c*tan(e + f*x)*1i)^(1/2)*2i)/(a^3*f) - (14*B*c^4*(c - c*tan(e + f*x)*1i)^(1/2))/(a^3*f) - (2*B*c^3*(c - c*tan(e + f*x)*1i)^(3/2))/(3*a^3*f) - (2^(1/2)*A*(-c)^(9/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*35i)/(8*a^3*f) - (2^(1/2)*B*c^(9/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(2*c^(1/2)))*175i)/(8*a^3*f)","B"
780,1,386,252,9.427376,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(7/2))/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{A\,c^6\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,5{}\mathrm{i}}{2\,a^3\,f}-\frac{A\,c^5\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}\,10{}\mathrm{i}}{3\,a^3\,f}+\frac{A\,c^4\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}\,11{}\mathrm{i}}{8\,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{\frac{33\,B\,c^6\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2}-\frac{58\,B\,c^5\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3}+\frac{47\,B\,c^4\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{8}}{8\,a^3\,c^3\,f-a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,a^3\,c^2\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}-\frac{2\,B\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{a^3\,f}+\frac{\sqrt{2}\,A\,{\left(-c\right)}^{7/2}\,\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^3\,f}+\frac{65\,\sqrt{2}\,B\,c^{7/2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{16\,a^3\,f}","Not used",1,"((A*c^6*(c - c*tan(e + f*x)*1i)^(1/2)*5i)/(2*a^3*f) - (A*c^5*(c - c*tan(e + f*x)*1i)^(3/2)*10i)/(3*a^3*f) + (A*c^4*(c - c*tan(e + f*x)*1i)^(5/2)*11i)/(8*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) - ((33*B*c^6*(c - c*tan(e + f*x)*1i)^(1/2))/2 - (58*B*c^5*(c - c*tan(e + f*x)*1i)^(3/2))/3 + (47*B*c^4*(c - c*tan(e + f*x)*1i)^(5/2))/8)/(8*a^3*c^3*f - a^3*f*(c - c*tan(e + f*x)*1i)^3 + 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^2 - 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)) - (2*B*c^3*(c - c*tan(e + f*x)*1i)^(1/2))/(a^3*f) + (2^(1/2)*A*(-c)^(7/2)*atan((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*(-c)^(1/2)))*5i)/(16*a^3*f) + (65*2^(1/2)*B*c^(7/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(16*a^3*f)","B"
781,1,360,213,9.422131,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^3,x)","\frac{-\frac{A\,c^5\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{4\,a^3\,f}+\frac{A\,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{A\,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{\frac{11\,B\,c^5\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{4}-\frac{11\,B\,c^4\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{3}+\frac{21\,B\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{16}}{8\,a^3\,c^3\,f-a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,a^3\,c^2\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{\sqrt{2}\,A\,{\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}+\frac{11\,\sqrt{2}\,B\,c^{5/2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{32\,a^3\,f}","Not used",1,"((A*c^4*(c - c*tan(e + f*x)*1i)^(3/2)*1i)/(3*a^3*f) - (A*c^5*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(4*a^3*f) + (A*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) - ((11*B*c^5*(c - c*tan(e + f*x)*1i)^(1/2))/4 - (11*B*c^4*(c - c*tan(e + f*x)*1i)^(3/2))/3 + (21*B*c^3*(c - c*tan(e + f*x)*1i)^(5/2))/16)/(8*a^3*c^3*f - a^3*f*(c - c*tan(e + f*x)*1i)^3 + 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^2 - 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)) + (2^(1/2)*A*(-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) + (11*2^(1/2)*B*c^(5/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(32*a^3*f)","B"
782,1,360,211,9.407054,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(3/2))/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{A\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,1{}\mathrm{i}}{8\,a^3\,f}+\frac{A\,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{A\,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{-\frac{3\,B\,c^4\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{8}+\frac{B\,c^3\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{6}+\frac{3\,B\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{32}}{8\,a^3\,c^3\,f-a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,a^3\,c^2\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{\sqrt{2}\,A\,{\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}-\frac{3\,\sqrt{2}\,B\,c^{3/2}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{64\,a^3\,f}","Not used",1,"((A*c^4*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(8*a^3*f) + (A*c^3*(c - c*tan(e + f*x)*1i)^(3/2)*1i)/(6*a^3*f) - (A*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) - ((B*c^3*(c - c*tan(e + f*x)*1i)^(3/2))/6 - (3*B*c^4*(c - c*tan(e + f*x)*1i)^(1/2))/8 + (3*B*c^2*(c - c*tan(e + f*x)*1i)^(5/2))/32)/(8*a^3*c^3*f - a^3*f*(c - c*tan(e + f*x)*1i)^3 + 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^2 - 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)) + (2^(1/2)*A*(-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) - (3*2^(1/2)*B*c^(3/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(64*a^3*f)","B"
783,1,355,209,9.362623,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(1/2))/(a + a*tan(e + f*x)*1i)^3,x)","\frac{\frac{7\,B\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{64}+\frac{9\,B\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{16}-\frac{7\,B\,c^2\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{12}}{8\,a^3\,c^3\,f-a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3+6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2-12\,a^3\,c^2\,f\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}+\frac{\frac{A\,c^3\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,11{}\mathrm{i}}{16\,a^3\,f}-\frac{A\,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{A\,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}\,A\,\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}+\frac{7\,\sqrt{2}\,B\,\sqrt{c}\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{128\,a^3\,f}","Not used",1,"((7*B*c*(c - c*tan(e + f*x)*1i)^(5/2))/64 + (9*B*c^3*(c - c*tan(e + f*x)*1i)^(1/2))/16 - (7*B*c^2*(c - c*tan(e + f*x)*1i)^(3/2))/12)/(8*a^3*c^3*f - a^3*f*(c - c*tan(e + f*x)*1i)^3 + 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^2 - 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)) + ((A*c^3*(c - c*tan(e + f*x)*1i)^(1/2)*11i)/(16*a^3*f) - (A*c^2*(c - c*tan(e + f*x)*1i)^(3/2)*5i)/(12*a^3*f) + (A*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)*A*(-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) + (7*2^(1/2)*B*c^(1/2)*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(128*a^3*f)","B"
784,1,394,245,9.666340,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(1/2)),x)","\frac{B\,c^3-\frac{25\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}{128}+\frac{25\,B\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{24}-\frac{55\,B\,c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{32}}{a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}-6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}-8\,a^3\,c^3\,f\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}+12\,a^3\,c^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}+\frac{\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,35{}\mathrm{i}}{128\,a^3\,f}-\frac{A\,c^3\,1{}\mathrm{i}}{a^3\,f}-\frac{A\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,35{}\mathrm{i}}{24\,a^3\,f}+\frac{A\,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}\,A\,\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}+\frac{25\,\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{256\,a^3\,\sqrt{c}\,f}","Not used",1,"(B*c^3 - (25*B*(c - c*tan(e + f*x)*1i)^3)/128 + (25*B*c*(c - c*tan(e + f*x)*1i)^2)/24 - (55*B*c^2*(c - c*tan(e + f*x)*1i))/32)/(a^3*f*(c - c*tan(e + f*x)*1i)^(7/2) - 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^(5/2) - 8*a^3*c^3*f*(c - c*tan(e + f*x)*1i)^(1/2) + 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)^(3/2)) + ((A*(c - c*tan(e + f*x)*1i)^3*35i)/(128*a^3*f) - (A*c^3*1i)/(a^3*f) - (A*c*(c - c*tan(e + f*x)*1i)^2*35i)/(24*a^3*f) + (A*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)*A*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) + (25*2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(256*a^3*c^(1/2)*f)","B"
785,1,443,274,9.978048,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(3/2)),x)","-\frac{\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,35{}\mathrm{i}}{16\,a^3\,f}+\frac{A\,c^3\,1{}\mathrm{i}}{3\,a^3\,f}-\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4\,105{}\mathrm{i}}{256\,a^3\,c\,f}-\frac{A\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,231{}\mathrm{i}}{64\,a^3\,f}+\frac{A\,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{\frac{B\,c^3}{3}+\frac{35\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}{48}-\frac{77\,B\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{64}+\frac{B\,c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{2}-\frac{35\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4}{256\,c}}{a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}-6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}-8\,a^3\,c^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}+12\,a^3\,c^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}+\frac{\sqrt{2}\,A\,\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}+\frac{35\,\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{512\,a^3\,c^{3/2}\,f}","Not used",1,"((B*c^3)/3 + (35*B*(c - c*tan(e + f*x)*1i)^3)/48 - (77*B*c*(c - c*tan(e + f*x)*1i)^2)/64 + (B*c^2*(c - c*tan(e + f*x)*1i))/2 - (35*B*(c - c*tan(e + f*x)*1i)^4)/(256*c))/(a^3*f*(c - c*tan(e + f*x)*1i)^(9/2) - 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^(7/2) - 8*a^3*c^3*f*(c - c*tan(e + f*x)*1i)^(3/2) + 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)^(5/2)) - ((A*(c - c*tan(e + f*x)*1i)^3*35i)/(16*a^3*f) + (A*c^3*1i)/(3*a^3*f) - (A*(c - c*tan(e + f*x)*1i)^4*105i)/(256*a^3*c*f) - (A*c*(c - c*tan(e + f*x)*1i)^2*231i)/(64*a^3*f) + (A*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)) + (2^(1/2)*A*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) + (35*2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(512*a^3*c^(3/2)*f)","B"
786,1,490,311,10.803532,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^3*(c - c*tan(e + f*x)*1i)^(5/2)),x)","-\frac{-\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3\,2541{}\mathrm{i}}{640\,a^3\,f}+\frac{A\,c^3\,1{}\mathrm{i}}{5\,a^3\,f}+\frac{A\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4\,77{}\mathrm{i}}{32\,a^3\,c\,f}-\frac{A\,{\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{A\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2\,33{}\mathrm{i}}{20\,a^3\,f}+\frac{A\,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{\frac{B\,c^3}{5}-\frac{231\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^3}{640}+\frac{3\,B\,c\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{20}+\frac{B\,c^2\,\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{30}+\frac{7\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^4}{32\,c}-\frac{21\,B\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^5}{512\,c^2}}{a^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{11/2}-6\,a^3\,c\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}-8\,a^3\,c^3\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}+12\,a^3\,c^2\,f\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}-\frac{\sqrt{2}\,A\,\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}+\frac{21\,\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{c}}\right)}{1024\,a^3\,c^{5/2}\,f}","Not used",1,"((B*c^3)/5 - (231*B*(c - c*tan(e + f*x)*1i)^3)/640 + (3*B*c*(c - c*tan(e + f*x)*1i)^2)/20 + (B*c^2*(c - c*tan(e + f*x)*1i))/30 + (7*B*(c - c*tan(e + f*x)*1i)^4)/(32*c) - (21*B*(c - c*tan(e + f*x)*1i)^5)/(512*c^2))/(a^3*f*(c - c*tan(e + f*x)*1i)^(11/2) - 6*a^3*c*f*(c - c*tan(e + f*x)*1i)^(9/2) - 8*a^3*c^3*f*(c - c*tan(e + f*x)*1i)^(5/2) + 12*a^3*c^2*f*(c - c*tan(e + f*x)*1i)^(7/2)) - ((A*c^3*1i)/(5*a^3*f) - (A*(c - c*tan(e + f*x)*1i)^3*2541i)/(640*a^3*f) + (A*(c - c*tan(e + f*x)*1i)^4*77i)/(32*a^3*c*f) - (A*(c - c*tan(e + f*x)*1i)^5*231i)/(512*a^3*c^2*f) + (A*c*(c - c*tan(e + f*x)*1i)^2*33i)/(20*a^3*f) + (A*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)*A*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) + (21*2^(1/2)*B*atanh((2^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(2*c^(1/2))))/(1024*a^3*c^(5/2)*f)","B"
787,0,-1,272,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(7/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,\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)}^{7/2} \,d x","Not used",1,"int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(7/2), x)","F"
788,0,-1,217,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
789,0,-1,164,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
790,1,133,104,11.089249,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2),x)","-\frac{A\,\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}+\frac{\sqrt{2}\,B\,\sqrt{\frac{c}{2\,{\cos\left(e+f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}}}\,\sqrt{\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}}}{f}","Not used",1,"(2^(1/2)*B*(c/(sin(2*e + 2*f*x)*1i + 2*cos(e + f*x)^2))^(1/2)*((a*(sin(2*e + 2*f*x)*1i + 2*cos(e + f*x)^2))/(2*cos(e + f*x)^2))^(1/2))/f - (A*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"
791,1,266,109,12.406374,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2))/(c - c*tan(e + f*x)*1i)^(1/2),x)","\frac{4\,B\,\sqrt{a}\,\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)}{\sqrt{c}\,f}+\frac{A\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}\,\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{c\,f\,\left(\mathrm{tan}\left(e+f\,x\right)+1{}\mathrm{i}\right)}-\frac{4\,B\,a\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{c\,f\,\left(\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{c}\right)\,\left(\frac{a}{c}-\frac{{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{c}\right)}^2}+\frac{2\,\sqrt{a}\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c}\,\left(\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{c}\right)}\right)}","Not used",1,"(4*B*a^(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)))))/(c^(1/2)*f) + (A*(a + a*tan(e + f*x)*1i)^(1/2)*(c - c*tan(e + f*x)*1i)^(1/2))/(c*f*(tan(e + f*x) + 1i)) - (4*B*a*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/(c*f*((c - c*tan(e + f*x)*1i)^(1/2) - c^(1/2))*(a/c - ((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2/((c - c*tan(e + f*x)*1i)^(1/2) - c^(1/2))^2 + (2*a^(1/2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/(c^(1/2)*((c - c*tan(e + f*x)*1i)^(1/2) - c^(1/2)))))","B"
792,1,145,102,1.237794,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,3{}\mathrm{i}-3\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+B\,\cos\left(2\,e+2\,f\,x\right)-A\,\sin\left(2\,e+2\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,1{}\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)*(A*3i - 3*B + A*cos(2*e + 2*f*x)*1i + B*cos(2*e + 2*f*x) - A*sin(2*e + 2*f*x) + B*sin(2*e + 2*f*x)*1i))/(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"
793,1,171,155,9.858923,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,15{}\mathrm{i}-15\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,10{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}+3\,B\,\cos\left(4\,e+4\,f\,x\right)-10\,A\,\sin\left(2\,e+2\,f\,x\right)-3\,A\,\sin\left(4\,e+4\,f\,x\right)+B\,\sin\left(4\,e+4\,f\,x\right)\,3{}\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)*(A*15i - 15*B + A*cos(2*e + 2*f*x)*10i + A*cos(4*e + 4*f*x)*3i + 3*B*cos(4*e + 4*f*x) - 10*A*sin(2*e + 2*f*x) - 3*A*sin(4*e + 4*f*x) + B*sin(4*e + 4*f*x)*3i))/(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"
794,1,246,208,10.797794,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(1/2))/(c - c*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}}\,\left(A\,105{}\mathrm{i}-105\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,105{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,63{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,15{}\mathrm{i}-35\,B\,\cos\left(2\,e+2\,f\,x\right)+21\,B\,\cos\left(4\,e+4\,f\,x\right)+15\,B\,\cos\left(6\,e+6\,f\,x\right)-105\,A\,\sin\left(2\,e+2\,f\,x\right)-63\,A\,\sin\left(4\,e+4\,f\,x\right)-15\,A\,\sin\left(6\,e+6\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,35{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,21{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,15{}\mathrm{i}\right)}{840\,c^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)*(A*105i - 105*B + A*cos(2*e + 2*f*x)*105i + A*cos(4*e + 4*f*x)*63i + A*cos(6*e + 6*f*x)*15i - 35*B*cos(2*e + 2*f*x) + 21*B*cos(4*e + 4*f*x) + 15*B*cos(6*e + 6*f*x) - 105*A*sin(2*e + 2*f*x) - 63*A*sin(4*e + 4*f*x) - 15*A*sin(6*e + 6*f*x) - B*sin(2*e + 2*f*x)*35i + B*sin(4*e + 4*f*x)*21i + B*sin(6*e + 6*f*x)*15i))/(840*c^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"
795,0,-1,279,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(7/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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)}^{7/2} \,d x","Not used",1,"int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(7/2), x)","F"
796,0,-1,226,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
797,0,-1,157,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
798,0,-1,160,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2)*(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
799,0,-1,169,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2))/(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2))/(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
800,0,-1,155,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2))/(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2))/(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
801,1,190,102,10.258428,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,\cos\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}-5\,B\,\cos\left(2\,e+2\,f\,x\right)+3\,B\,\cos\left(4\,e+4\,f\,x\right)-5\,A\,\sin\left(2\,e+2\,f\,x\right)-3\,A\,\sin\left(4\,e+4\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}+B\,\sin\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)*(A*cos(2*e + 2*f*x)*5i + A*cos(4*e + 4*f*x)*3i - 5*B*cos(2*e + 2*f*x) + 3*B*cos(4*e + 4*f*x) - 5*A*sin(2*e + 2*f*x) - 3*A*sin(4*e + 4*f*x) - B*sin(2*e + 2*f*x)*5i + B*sin(4*e + 4*f*x)*3i))/(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"
802,1,215,155,10.550298,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2))/(c - c*tan(e + f*x)*1i)^(7/2),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(A\,\cos\left(2\,e+2\,f\,x\right)\,35{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,42{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,15{}\mathrm{i}-35\,B\,\cos\left(2\,e+2\,f\,x\right)+15\,B\,\cos\left(6\,e+6\,f\,x\right)-35\,A\,\sin\left(2\,e+2\,f\,x\right)-42\,A\,\sin\left(4\,e+4\,f\,x\right)-15\,A\,\sin\left(6\,e+6\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,35{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,15{}\mathrm{i}\right)}{420\,c^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*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(A*cos(2*e + 2*f*x)*35i + A*cos(4*e + 4*f*x)*42i + A*cos(6*e + 6*f*x)*15i - 35*B*cos(2*e + 2*f*x) + 15*B*cos(6*e + 6*f*x) - 35*A*sin(2*e + 2*f*x) - 42*A*sin(4*e + 4*f*x) - 15*A*sin(6*e + 6*f*x) - B*sin(2*e + 2*f*x)*35i + B*sin(6*e + 6*f*x)*15i))/(420*c^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"
803,1,290,208,11.647790,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2))/(c - c*tan(e + f*x)*1i)^(9/2),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(A\,\cos\left(2\,e+2\,f\,x\right)\,105{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,189{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,135{}\mathrm{i}+A\,\cos\left(8\,e+8\,f\,x\right)\,35{}\mathrm{i}-105\,B\,\cos\left(2\,e+2\,f\,x\right)-63\,B\,\cos\left(4\,e+4\,f\,x\right)+45\,B\,\cos\left(6\,e+6\,f\,x\right)+35\,B\,\cos\left(8\,e+8\,f\,x\right)-105\,A\,\sin\left(2\,e+2\,f\,x\right)-189\,A\,\sin\left(4\,e+4\,f\,x\right)-135\,A\,\sin\left(6\,e+6\,f\,x\right)-35\,A\,\sin\left(8\,e+8\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,105{}\mathrm{i}-B\,\sin\left(4\,e+4\,f\,x\right)\,63{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,45{}\mathrm{i}+B\,\sin\left(8\,e+8\,f\,x\right)\,35{}\mathrm{i}\right)}{2520\,c^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*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(A*cos(2*e + 2*f*x)*105i + A*cos(4*e + 4*f*x)*189i + A*cos(6*e + 6*f*x)*135i + A*cos(8*e + 8*f*x)*35i - 105*B*cos(2*e + 2*f*x) - 63*B*cos(4*e + 4*f*x) + 45*B*cos(6*e + 6*f*x) + 35*B*cos(8*e + 8*f*x) - 105*A*sin(2*e + 2*f*x) - 189*A*sin(4*e + 4*f*x) - 135*A*sin(6*e + 6*f*x) - 35*A*sin(8*e + 8*f*x) - B*sin(2*e + 2*f*x)*105i - B*sin(4*e + 4*f*x)*63i + B*sin(6*e + 6*f*x)*45i + B*sin(8*e + 8*f*x)*35i))/(2520*c^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"
804,1,315,261,14.505710,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(3/2))/(c - c*tan(e + f*x)*1i)^(11/2),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(A\,\cos\left(2\,e+2\,f\,x\right)\,1155{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,2772{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,2970{}\mathrm{i}+A\,\cos\left(8\,e+8\,f\,x\right)\,1540{}\mathrm{i}+A\,\cos\left(10\,e+10\,f\,x\right)\,315{}\mathrm{i}-1155\,B\,\cos\left(2\,e+2\,f\,x\right)-1386\,B\,\cos\left(4\,e+4\,f\,x\right)+770\,B\,\cos\left(8\,e+8\,f\,x\right)+315\,B\,\cos\left(10\,e+10\,f\,x\right)-1155\,A\,\sin\left(2\,e+2\,f\,x\right)-2772\,A\,\sin\left(4\,e+4\,f\,x\right)-2970\,A\,\sin\left(6\,e+6\,f\,x\right)-1540\,A\,\sin\left(8\,e+8\,f\,x\right)-315\,A\,\sin\left(10\,e+10\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,1155{}\mathrm{i}-B\,\sin\left(4\,e+4\,f\,x\right)\,1386{}\mathrm{i}+B\,\sin\left(8\,e+8\,f\,x\right)\,770{}\mathrm{i}+B\,\sin\left(10\,e+10\,f\,x\right)\,315{}\mathrm{i}\right)}{55440\,c^5\,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)*(A*cos(2*e + 2*f*x)*1155i + A*cos(4*e + 4*f*x)*2772i + A*cos(6*e + 6*f*x)*2970i + A*cos(8*e + 8*f*x)*1540i + A*cos(10*e + 10*f*x)*315i - 1155*B*cos(2*e + 2*f*x) - 1386*B*cos(4*e + 4*f*x) + 770*B*cos(8*e + 8*f*x) + 315*B*cos(10*e + 10*f*x) - 1155*A*sin(2*e + 2*f*x) - 2772*A*sin(4*e + 4*f*x) - 2970*A*sin(6*e + 6*f*x) - 1540*A*sin(8*e + 8*f*x) - 315*A*sin(10*e + 10*f*x) - B*sin(2*e + 2*f*x)*1155i - B*sin(4*e + 4*f*x)*1386i + B*sin(8*e + 8*f*x)*770i + B*sin(10*e + 10*f*x)*315i))/(55440*c^5*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"
805,0,-1,288,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(7/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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)}^{7/2} \,d x","Not used",1,"int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(7/2), x)","F"
806,0,-1,213,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
807,0,-1,222,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
808,0,-1,217,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2)*(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
809,0,-1,227,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
810,0,-1,226,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
811,0,-1,203,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
812,1,192,102,10.281393,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(7/2),x)","-\frac{a^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}}\,\left(A\,\cos\left(4\,e+4\,f\,x\right)\,7{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,5{}\mathrm{i}-7\,B\,\cos\left(4\,e+4\,f\,x\right)+5\,B\,\cos\left(6\,e+6\,f\,x\right)-7\,A\,\sin\left(4\,e+4\,f\,x\right)-5\,A\,\sin\left(6\,e+6\,f\,x\right)-B\,\sin\left(4\,e+4\,f\,x\right)\,7{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,5{}\mathrm{i}\right)}{70\,c^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^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)*(A*cos(4*e + 4*f*x)*7i + A*cos(6*e + 6*f*x)*5i - 7*B*cos(4*e + 4*f*x) + 5*B*cos(6*e + 6*f*x) - 7*A*sin(4*e + 4*f*x) - 5*A*sin(6*e + 6*f*x) - B*sin(4*e + 4*f*x)*7i + B*sin(6*e + 6*f*x)*5i))/(70*c^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"
813,1,217,155,11.000757,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(9/2),x)","-\frac{a^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}}\,\left(A\,\cos\left(4\,e+4\,f\,x\right)\,63{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,90{}\mathrm{i}+A\,\cos\left(8\,e+8\,f\,x\right)\,35{}\mathrm{i}-63\,B\,\cos\left(4\,e+4\,f\,x\right)+35\,B\,\cos\left(8\,e+8\,f\,x\right)-63\,A\,\sin\left(4\,e+4\,f\,x\right)-90\,A\,\sin\left(6\,e+6\,f\,x\right)-35\,A\,\sin\left(8\,e+8\,f\,x\right)-B\,\sin\left(4\,e+4\,f\,x\right)\,63{}\mathrm{i}+B\,\sin\left(8\,e+8\,f\,x\right)\,35{}\mathrm{i}\right)}{1260\,c^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^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)*(A*cos(4*e + 4*f*x)*63i + A*cos(6*e + 6*f*x)*90i + A*cos(8*e + 8*f*x)*35i - 63*B*cos(4*e + 4*f*x) + 35*B*cos(8*e + 8*f*x) - 63*A*sin(4*e + 4*f*x) - 90*A*sin(6*e + 6*f*x) - 35*A*sin(8*e + 8*f*x) - B*sin(4*e + 4*f*x)*63i + B*sin(8*e + 8*f*x)*35i))/(1260*c^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"
814,1,292,208,12.852512,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(11/2),x)","-\frac{a^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}}\,\left(A\,\cos\left(4\,e+4\,f\,x\right)\,693{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,1485{}\mathrm{i}+A\,\cos\left(8\,e+8\,f\,x\right)\,1155{}\mathrm{i}+A\,\cos\left(10\,e+10\,f\,x\right)\,315{}\mathrm{i}-693\,B\,\cos\left(4\,e+4\,f\,x\right)-495\,B\,\cos\left(6\,e+6\,f\,x\right)+385\,B\,\cos\left(8\,e+8\,f\,x\right)+315\,B\,\cos\left(10\,e+10\,f\,x\right)-693\,A\,\sin\left(4\,e+4\,f\,x\right)-1485\,A\,\sin\left(6\,e+6\,f\,x\right)-1155\,A\,\sin\left(8\,e+8\,f\,x\right)-315\,A\,\sin\left(10\,e+10\,f\,x\right)-B\,\sin\left(4\,e+4\,f\,x\right)\,693{}\mathrm{i}-B\,\sin\left(6\,e+6\,f\,x\right)\,495{}\mathrm{i}+B\,\sin\left(8\,e+8\,f\,x\right)\,385{}\mathrm{i}+B\,\sin\left(10\,e+10\,f\,x\right)\,315{}\mathrm{i}\right)}{27720\,c^5\,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*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(A*cos(4*e + 4*f*x)*693i + A*cos(6*e + 6*f*x)*1485i + A*cos(8*e + 8*f*x)*1155i + A*cos(10*e + 10*f*x)*315i - 693*B*cos(4*e + 4*f*x) - 495*B*cos(6*e + 6*f*x) + 385*B*cos(8*e + 8*f*x) + 315*B*cos(10*e + 10*f*x) - 693*A*sin(4*e + 4*f*x) - 1485*A*sin(6*e + 6*f*x) - 1155*A*sin(8*e + 8*f*x) - 315*A*sin(10*e + 10*f*x) - B*sin(4*e + 4*f*x)*693i - B*sin(6*e + 6*f*x)*495i + B*sin(8*e + 8*f*x)*385i + B*sin(10*e + 10*f*x)*315i))/(27720*c^5*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"
815,1,191,261,13.728706,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(5/2))/(c - c*tan(e + f*x)*1i)^(13/2),x)","-\frac{\sqrt{a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^2\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(2\,A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{56\,c^6\,f}+\frac{a^2\,{\mathrm{e}}^{e\,10{}\mathrm{i}+f\,x\,10{}\mathrm{i}}\,\left(2\,A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{88\,c^6\,f}+\frac{A\,a^2\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,1{}\mathrm{i}}{24\,c^6\,f}+\frac{a^2\,{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{80\,c^6\,f}+\frac{a^2\,{\mathrm{e}}^{e\,12{}\mathrm{i}+f\,x\,12{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{208\,c^6\,f}\right)}{\sqrt{c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}}","Not used",1,"-((a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)*((a^2*exp(e*6i + f*x*6i)*(2*A + B*1i)*1i)/(56*c^6*f) + (a^2*exp(e*10i + f*x*10i)*(2*A - B*1i)*1i)/(88*c^6*f) + (A*a^2*exp(e*8i + f*x*8i)*1i)/(24*c^6*f) + (a^2*exp(e*4i + f*x*4i)*(A + B*1i)*1i)/(80*c^6*f) + (a^2*exp(e*12i + f*x*12i)*(A - B*1i)*1i)/(208*c^6*f)))/(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)","B"
816,0,-1,350,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(9/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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)}^{9/2} \,d x","Not used",1,"int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(9/2), x)","F"
817,0,-1,267,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(7/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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)}^{7/2} \,d x","Not used",1,"int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(7/2), x)","F"
818,0,-1,284,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
819,0,-1,279,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
820,0,-1,272,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2)*(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
821,0,-1,283,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(1/2), x)","F"
822,0,-1,285,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(3/2), x)","F"
823,0,-1,283,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(5/2), x)","F"
824,0,-1,251,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(7/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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)}^{7/2}} \,d x","Not used",1,"int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(7/2), x)","F"
825,1,192,102,11.477632,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(9/2),x)","-\frac{a^3\,\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(A\,\cos\left(6\,e+6\,f\,x\right)\,9{}\mathrm{i}+A\,\cos\left(8\,e+8\,f\,x\right)\,7{}\mathrm{i}-9\,B\,\cos\left(6\,e+6\,f\,x\right)+7\,B\,\cos\left(8\,e+8\,f\,x\right)-9\,A\,\sin\left(6\,e+6\,f\,x\right)-7\,A\,\sin\left(8\,e+8\,f\,x\right)-B\,\sin\left(6\,e+6\,f\,x\right)\,9{}\mathrm{i}+B\,\sin\left(8\,e+8\,f\,x\right)\,7{}\mathrm{i}\right)}{126\,c^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^3*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(A*cos(6*e + 6*f*x)*9i + A*cos(8*e + 8*f*x)*7i - 9*B*cos(6*e + 6*f*x) + 7*B*cos(8*e + 8*f*x) - 9*A*sin(6*e + 6*f*x) - 7*A*sin(8*e + 8*f*x) - B*sin(6*e + 6*f*x)*9i + B*sin(8*e + 8*f*x)*7i))/(126*c^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"
826,1,217,155,11.752361,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(11/2),x)","-\frac{a^3\,\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(A\,\cos\left(6\,e+6\,f\,x\right)\,99{}\mathrm{i}+A\,\cos\left(8\,e+8\,f\,x\right)\,154{}\mathrm{i}+A\,\cos\left(10\,e+10\,f\,x\right)\,63{}\mathrm{i}-99\,B\,\cos\left(6\,e+6\,f\,x\right)+63\,B\,\cos\left(10\,e+10\,f\,x\right)-99\,A\,\sin\left(6\,e+6\,f\,x\right)-154\,A\,\sin\left(8\,e+8\,f\,x\right)-63\,A\,\sin\left(10\,e+10\,f\,x\right)-B\,\sin\left(6\,e+6\,f\,x\right)\,99{}\mathrm{i}+B\,\sin\left(10\,e+10\,f\,x\right)\,63{}\mathrm{i}\right)}{2772\,c^5\,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^3*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(A*cos(6*e + 6*f*x)*99i + A*cos(8*e + 8*f*x)*154i + A*cos(10*e + 10*f*x)*63i - 99*B*cos(6*e + 6*f*x) + 63*B*cos(10*e + 10*f*x) - 99*A*sin(6*e + 6*f*x) - 154*A*sin(8*e + 8*f*x) - 63*A*sin(10*e + 10*f*x) - B*sin(6*e + 6*f*x)*99i + B*sin(10*e + 10*f*x)*63i))/(2772*c^5*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"
827,1,167,208,13.485157,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(13/2),x)","-\frac{\sqrt{a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^3\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\left(3\,A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{72\,c^6\,f}+\frac{a^3\,{\mathrm{e}}^{e\,10{}\mathrm{i}+f\,x\,10{}\mathrm{i}}\,\left(3\,A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{88\,c^6\,f}+\frac{a^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{56\,c^6\,f}+\frac{a^3\,{\mathrm{e}}^{e\,12{}\mathrm{i}+f\,x\,12{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{104\,c^6\,f}\right)}{\sqrt{c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}}","Not used",1,"-((a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)*((a^3*exp(e*8i + f*x*8i)*(3*A + B*1i)*1i)/(72*c^6*f) + (a^3*exp(e*10i + f*x*10i)*(3*A - B*1i)*1i)/(88*c^6*f) + (a^3*exp(e*6i + f*x*6i)*(A + B*1i)*1i)/(56*c^6*f) + (a^3*exp(e*12i + f*x*12i)*(A - B*1i)*1i)/(104*c^6*f)))/(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)","B"
828,1,191,261,13.484894,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(15/2),x)","-\frac{\sqrt{a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^3\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\left(2\,A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{72\,c^7\,f}+\frac{a^3\,{\mathrm{e}}^{e\,12{}\mathrm{i}+f\,x\,12{}\mathrm{i}}\,\left(2\,A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{104\,c^7\,f}+\frac{A\,a^3\,{\mathrm{e}}^{e\,10{}\mathrm{i}+f\,x\,10{}\mathrm{i}}\,3{}\mathrm{i}}{88\,c^7\,f}+\frac{a^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{112\,c^7\,f}+\frac{a^3\,{\mathrm{e}}^{e\,14{}\mathrm{i}+f\,x\,14{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{240\,c^7\,f}\right)}{\sqrt{c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}}","Not used",1,"-((a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)*((a^3*exp(e*8i + f*x*8i)*(2*A + B*1i)*1i)/(72*c^7*f) + (a^3*exp(e*12i + f*x*12i)*(2*A - B*1i)*1i)/(104*c^7*f) + (A*a^3*exp(e*10i + f*x*10i)*3i)/(88*c^7*f) + (a^3*exp(e*6i + f*x*6i)*(A + B*1i)*1i)/(112*c^7*f) + (a^3*exp(e*14i + f*x*14i)*(A - B*1i)*1i)/(240*c^7*f)))/(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)","B"
829,1,229,314,14.484638,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(7/2))/(c - c*tan(e + f*x)*1i)^(17/2),x)","-\frac{\sqrt{a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}\,\left(\frac{a^3\,{\mathrm{e}}^{e\,8{}\mathrm{i}+f\,x\,8{}\mathrm{i}}\,\left(5\,A+B\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{288\,c^8\,f}+\frac{a^3\,{\mathrm{e}}^{e\,10{}\mathrm{i}+f\,x\,10{}\mathrm{i}}\,\left(5\,A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{176\,c^8\,f}+\frac{a^3\,{\mathrm{e}}^{e\,12{}\mathrm{i}+f\,x\,12{}\mathrm{i}}\,\left(5\,A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{208\,c^8\,f}+\frac{a^3\,{\mathrm{e}}^{e\,14{}\mathrm{i}+f\,x\,14{}\mathrm{i}}\,\left(5\,A-B\,3{}\mathrm{i}\right)\,1{}\mathrm{i}}{480\,c^8\,f}+\frac{a^3\,{\mathrm{e}}^{e\,6{}\mathrm{i}+f\,x\,6{}\mathrm{i}}\,\left(A+B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{224\,c^8\,f}+\frac{a^3\,{\mathrm{e}}^{e\,16{}\mathrm{i}+f\,x\,16{}\mathrm{i}}\,\left(A-B\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{544\,c^8\,f}\right)}{\sqrt{c-\frac{c\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}}}","Not used",1,"-((a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)*((a^3*exp(e*8i + f*x*8i)*(5*A + B*3i)*1i)/(288*c^8*f) + (a^3*exp(e*10i + f*x*10i)*(5*A + B*1i)*1i)/(176*c^8*f) + (a^3*exp(e*12i + f*x*12i)*(5*A - B*1i)*1i)/(208*c^8*f) + (a^3*exp(e*14i + f*x*14i)*(5*A - B*3i)*1i)/(480*c^8*f) + (a^3*exp(e*6i + f*x*6i)*(A + B*1i)*1i)/(224*c^8*f) + (a^3*exp(e*16i + f*x*16i)*(A - B*1i)*1i)/(544*c^8*f)))/(c - (c*sin(e + f*x)*1i)/cos(e + f*x))^(1/2)","B"
830,0,-1,228,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
831,0,-1,169,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(3/2))/(a + a*tan(e + f*x)*1i)^(1/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(3/2))/(a + a*tan(e + f*x)*1i)^(1/2), x)","F"
832,1,250,110,12.160757,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(1/2))/(a + a*tan(e + f*x)*1i)^(1/2),x)","\frac{A\,\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}}}-\frac{4\,B\,\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)}{\sqrt{a}\,f}-\frac{4\,B\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{f\,\left(\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{c}\right)\,\left(-\frac{a}{c}+\frac{{\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}^2}{{\left(\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{c}\right)}^2}+\frac{2\,\sqrt{a}\,\left(\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{a}\right)}{\sqrt{c}\,\left(\sqrt{c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}-\sqrt{c}\right)}\right)}","Not used",1,"(A*(c - c*tan(e + f*x)*1i)^(1/2)*1i)/(f*(a + a*tan(e + f*x)*1i)^(1/2)) - (4*B*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)))))/(a^(1/2)*f) - (4*B*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/(f*((c - c*tan(e + f*x)*1i)^(1/2) - c^(1/2))*(((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2))^2/((c - c*tan(e + f*x)*1i)^(1/2) - c^(1/2))^2 - a/c + (2*a^(1/2)*((a + a*tan(e + f*x)*1i)^(1/2) - a^(1/2)))/(c^(1/2)*((c - c*tan(e + f*x)*1i)^(1/2) - c^(1/2)))))","B"
833,1,143,92,0.798502,"\text{Not used}","int((A + B*tan(e + f*x))/((a + a*tan(e + f*x)*1i)^(1/2)*(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(A\,1{}\mathrm{i}+B-A\,\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+B\,\cos\left(2\,e+2\,f\,x\right)-A\,\sin\left(2\,e+2\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{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,"-(((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(1/2)*(A*1i + B - A*cos(2*e + 2*f*x)*1i + B*cos(2*e + 2*f*x) - A*sin(2*e + 2*f*x) - B*sin(2*e + 2*f*x)*1i))/(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"
834,1,146,157,0.732093,"\text{Not used}","int((A + B*tan(e + f*x))/((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(2\,A\,\sin\left(2\,e+2\,f\,x\right)+A\,\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}-2\,B\,\cos\left(2\,e+2\,f\,x\right)-A\,3{}\mathrm{i}+B\,\sin\left(2\,e+2\,f\,x\right)\,1{}\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)*(A*cos(2*e + 2*f*x)*1i - A*3i - 2*B*cos(2*e + 2*f*x) + 2*A*sin(2*e + 2*f*x) + B*sin(2*e + 2*f*x)*1i))/(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"
835,1,186,213,9.885868,"\text{Not used}","int((A + B*tan(e + f*x))/((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(A\,45{}\mathrm{i}-15\,B+A\,\cos\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}+20\,B\,\cos\left(2\,e+2\,f\,x\right)+3\,B\,\cos\left(4\,e+4\,f\,x\right)-30\,A\,\sin\left(2\,e+2\,f\,x\right)-3\,A\,\sin\left(4\,e+4\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,10{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}\right)}{120\,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)*(A*45i - 15*B + A*cos(4*e + 4*f*x)*3i + 20*B*cos(2*e + 2*f*x) + 3*B*cos(4*e + 4*f*x) - 30*A*sin(2*e + 2*f*x) - 3*A*sin(4*e + 4*f*x) - B*sin(2*e + 2*f*x)*10i + B*sin(4*e + 4*f*x)*3i))/(120*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"
836,0,-1,287,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(7/2))/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(7/2))/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
837,0,-1,229,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
838,0,-1,157,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(3/2))/(a + a*tan(e + f*x)*1i)^(3/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\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(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(3/2))/(a + a*tan(e + f*x)*1i)^(3/2), x)","F"
839,1,195,104,10.131499,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,3{}\mathrm{i}+3\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,4{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+2\,B\,\cos\left(2\,e+2\,f\,x\right)-B\,\cos\left(4\,e+4\,f\,x\right)+4\,A\,\sin\left(2\,e+2\,f\,x\right)+A\,\sin\left(4\,e+4\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,1{}\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)*(A*3i + 3*B + A*cos(2*e + 2*f*x)*4i + A*cos(4*e + 4*f*x)*1i + 2*B*cos(2*e + 2*f*x) - B*cos(4*e + 4*f*x) + 4*A*sin(2*e + 2*f*x) + A*sin(4*e + 4*f*x) - B*sin(2*e + 2*f*x)*2i + B*sin(4*e + 4*f*x)*1i))/(12*a^2*f)","B"
840,1,170,152,9.771571,"\text{Not used}","int((A + B*tan(e + f*x))/((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(6\,A\,\sin\left(2\,e+2\,f\,x\right)-3\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,6{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-B\,\cos\left(4\,e+4\,f\,x\right)-A\,3{}\mathrm{i}+A\,\sin\left(4\,e+4\,f\,x\right)+B\,\sin\left(4\,e+4\,f\,x\right)\,1{}\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)*(A*cos(2*e + 2*f*x)*6i - 3*B - A*3i + A*cos(4*e + 4*f*x)*1i - B*cos(4*e + 4*f*x) + 6*A*sin(2*e + 2*f*x) + A*sin(4*e + 4*f*x) + B*sin(4*e + 4*f*x)*1i))/(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"
841,1,198,152,9.940889,"\text{Not used}","int((A + B*tan(e + f*x))/((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(10\,A\,\sin\left(2\,e+2\,f\,x\right)-3\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,8{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-4\,B\,\cos\left(2\,e+2\,f\,x\right)-B\,\cos\left(4\,e+4\,f\,x\right)-A\,9{}\mathrm{i}+A\,\sin\left(4\,e+4\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,1{}\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)*(A*cos(2*e + 2*f*x)*8i - 3*B - A*9i + A*cos(4*e + 4*f*x)*1i - 4*B*cos(2*e + 2*f*x) - B*cos(4*e + 4*f*x) + 10*A*sin(2*e + 2*f*x) + A*sin(4*e + 4*f*x) + B*sin(2*e + 2*f*x)*2i + B*sin(4*e + 4*f*x)*1i))/(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"
842,1,196,269,9.992442,"\text{Not used}","int((A + B*tan(e + f*x))/((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(40\,A\,\sin\left(2\,e+2\,f\,x\right)+A\,\cos\left(2\,e+2\,f\,x\right)\,20{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-20\,B\,\cos\left(2\,e+2\,f\,x\right)-4\,B\,\cos\left(4\,e+4\,f\,x\right)-A\,45{}\mathrm{i}+4\,A\,\sin\left(4\,e+4\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,10{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,1{}\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)*(A*cos(2*e + 2*f*x)*20i - A*45i + A*cos(4*e + 4*f*x)*1i - 20*B*cos(2*e + 2*f*x) - 4*B*cos(4*e + 4*f*x) + 40*A*sin(2*e + 2*f*x) + 4*A*sin(4*e + 4*f*x) + B*sin(2*e + 2*f*x)*10i + B*sin(4*e + 4*f*x)*1i))/(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"
843,0,-1,343,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(9/2))/(a + a*tan(e + f*x)*1i)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{9/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(9/2))/(a + a*tan(e + f*x)*1i)^(5/2), x)","F"
844,0,-1,284,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(7/2))/(a + a*tan(e + f*x)*1i)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(7/2))/(a + a*tan(e + f*x)*1i)^(5/2), x)","F"
845,0,-1,205,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^(5/2),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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)}^{5/2}} \,d x","Not used",1,"int(((A + B*tan(e + f*x))*(c - c*tan(e + f*x)*1i)^(5/2))/(a + a*tan(e + f*x)*1i)^(5/2), x)","F"
846,1,240,104,11.069492,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,\cos\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,8{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}+5\,B\,\cos\left(2\,e+2\,f\,x\right)+2\,B\,\cos\left(4\,e+4\,f\,x\right)-3\,B\,\cos\left(6\,e+6\,f\,x\right)+5\,A\,\sin\left(2\,e+2\,f\,x\right)+8\,A\,\sin\left(4\,e+4\,f\,x\right)+3\,A\,\sin\left(6\,e+6\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}-B\,\sin\left(4\,e+4\,f\,x\right)\,2{}\mathrm{i}+B\,\sin\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)*(A*cos(2*e + 2*f*x)*5i + A*cos(4*e + 4*f*x)*8i + A*cos(6*e + 6*f*x)*3i + 5*B*cos(2*e + 2*f*x) + 2*B*cos(4*e + 4*f*x) - 3*B*cos(6*e + 6*f*x) + 5*A*sin(2*e + 2*f*x) + 8*A*sin(4*e + 4*f*x) + 3*A*sin(6*e + 6*f*x) - B*sin(2*e + 2*f*x)*5i - B*sin(4*e + 4*f*x)*2i + B*sin(6*e + 6*f*x)*3i))/(60*a^3*f)","B"
847,1,246,157,10.956373,"\text{Not used}","int(((A + B*tan(e + f*x))*(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(A\,15{}\mathrm{i}+15\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,25{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,13{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}+15\,B\,\cos\left(2\,e+2\,f\,x\right)-3\,B\,\cos\left(4\,e+4\,f\,x\right)-3\,B\,\cos\left(6\,e+6\,f\,x\right)+25\,A\,\sin\left(2\,e+2\,f\,x\right)+13\,A\,\sin\left(4\,e+4\,f\,x\right)+3\,A\,\sin\left(6\,e+6\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,15{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,3{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,3{}\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)*(A*15i + 15*B + A*cos(2*e + 2*f*x)*25i + A*cos(4*e + 4*f*x)*13i + A*cos(6*e + 6*f*x)*3i + 15*B*cos(2*e + 2*f*x) - 3*B*cos(4*e + 4*f*x) - 3*B*cos(6*e + 6*f*x) + 25*A*sin(2*e + 2*f*x) + 13*A*sin(4*e + 4*f*x) + 3*A*sin(6*e + 6*f*x) - B*sin(2*e + 2*f*x)*15i + B*sin(4*e + 4*f*x)*3i + B*sin(6*e + 6*f*x)*3i))/(120*a^3*f)","B"
848,1,246,212,10.716364,"\text{Not used}","int((A + B*tan(e + f*x))/((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(15\,B\,\cos\left(2\,e+2\,f\,x\right)-15\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,45{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,15{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}-A\,15{}\mathrm{i}-5\,B\,\cos\left(4\,e+4\,f\,x\right)-3\,B\,\cos\left(6\,e+6\,f\,x\right)+45\,A\,\sin\left(2\,e+2\,f\,x\right)+15\,A\,\sin\left(4\,e+4\,f\,x\right)+3\,A\,\sin\left(6\,e+6\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,15{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,5{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}\right)}{120\,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)*(A*cos(2*e + 2*f*x)*45i - 15*B - A*15i + A*cos(4*e + 4*f*x)*15i + A*cos(6*e + 6*f*x)*3i + 15*B*cos(2*e + 2*f*x) - 5*B*cos(4*e + 4*f*x) - 3*B*cos(6*e + 6*f*x) + 45*A*sin(2*e + 2*f*x) + 15*A*sin(4*e + 4*f*x) + 3*A*sin(6*e + 6*f*x) - B*sin(2*e + 2*f*x)*15i + B*sin(4*e + 4*f*x)*5i + B*sin(6*e + 6*f*x)*3i))/(120*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"
849,1,249,218,10.636538,"\text{Not used}","int((A + B*tan(e + f*x))/((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(95\,A\,\sin\left(2\,e+2\,f\,x\right)-30\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,85{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,20{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}-5\,B\,\cos\left(2\,e+2\,f\,x\right)-10\,B\,\cos\left(4\,e+4\,f\,x\right)-3\,B\,\cos\left(6\,e+6\,f\,x\right)-A\,60{}\mathrm{i}+20\,A\,\sin\left(4\,e+4\,f\,x\right)+3\,A\,\sin\left(6\,e+6\,f\,x\right)-B\,\sin\left(2\,e+2\,f\,x\right)\,5{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,10{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,3{}\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)*(A*cos(2*e + 2*f*x)*85i - 30*B - A*60i + A*cos(4*e + 4*f*x)*20i + A*cos(6*e + 6*f*x)*3i - 5*B*cos(2*e + 2*f*x) - 10*B*cos(4*e + 4*f*x) - 3*B*cos(6*e + 6*f*x) + 95*A*sin(2*e + 2*f*x) + 20*A*sin(4*e + 4*f*x) + 3*A*sin(6*e + 6*f*x) - B*sin(2*e + 2*f*x)*5i + B*sin(4*e + 4*f*x)*10i + B*sin(6*e + 6*f*x)*3i))/(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"
850,1,249,206,10.942428,"\text{Not used}","int((A + B*tan(e + f*x))/((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(175\,A\,\sin\left(2\,e+2\,f\,x\right)-30\,B+A\,\cos\left(2\,e+2\,f\,x\right)\,125{}\mathrm{i}+A\,\cos\left(4\,e+4\,f\,x\right)\,22{}\mathrm{i}+A\,\cos\left(6\,e+6\,f\,x\right)\,3{}\mathrm{i}-45\,B\,\cos\left(2\,e+2\,f\,x\right)-18\,B\,\cos\left(4\,e+4\,f\,x\right)-3\,B\,\cos\left(6\,e+6\,f\,x\right)-A\,150{}\mathrm{i}+28\,A\,\sin\left(4\,e+4\,f\,x\right)+3\,A\,\sin\left(6\,e+6\,f\,x\right)+B\,\sin\left(2\,e+2\,f\,x\right)\,15{}\mathrm{i}+B\,\sin\left(4\,e+4\,f\,x\right)\,12{}\mathrm{i}+B\,\sin\left(6\,e+6\,f\,x\right)\,3{}\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)*(A*cos(2*e + 2*f*x)*125i - 30*B - A*150i + A*cos(4*e + 4*f*x)*22i + A*cos(6*e + 6*f*x)*3i - 45*B*cos(2*e + 2*f*x) - 18*B*cos(4*e + 4*f*x) - 3*B*cos(6*e + 6*f*x) + 175*A*sin(2*e + 2*f*x) + 28*A*sin(4*e + 4*f*x) + 3*A*sin(6*e + 6*f*x) + B*sin(2*e + 2*f*x)*15i + B*sin(4*e + 4*f*x)*12i + B*sin(6*e + 6*f*x)*3i))/(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"
851,0,-1,150,0.000000,"\text{Not used}","int((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^n,x)","\int \left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\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 + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^m*(c - c*tan(e + f*x)*1i)^n, x)","F"
852,0,-1,147,0.000000,"\text{Not used}","int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(m + 1))/(c - c*tan(e + f*x)*1i)^(m + 1),x)","\int \frac{\left(A+B\,\mathrm{tan}\left(e+f\,x\right)\right)\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{m+1}}{{\left(c-c\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{m+1}} \,d x","Not used",1,"int(((A + B*tan(e + f*x))*(a + a*tan(e + f*x)*1i)^(m + 1))/(c - c*tan(e + f*x)*1i)^(m + 1), x)","F"
853,1,90,33,9.380321,"\text{Not used}","int(-((c - c*tan(e + f*x)*1i)^n*(n*1i - tan(e + f*x)*(n - 2) + 2i))/(tan(e + f*x) - 1i)^2,x)","\frac{{\left(-\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}\right)}^n\,\left(-4\,{\cos\left(e+f\,x\right)}^2-2\,{\cos\left(2\,e+2\,f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,2{}\mathrm{i}+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+2\right)}{4\,f}","Not used",1,"((-(c*(sin(2*e + 2*f*x)*1i - 2*cos(e + f*x)^2))/(2*cos(e + f*x)^2))^n*(sin(2*e + 2*f*x)*2i + sin(4*e + 4*f*x)*1i - 2*cos(2*e + 2*f*x)^2 - 4*cos(e + f*x)^2 + 2))/(4*f)","B"
854,1,159,104,9.496801,"\text{Not used}","int(((A + B*tan(e + f*x))*(c + d*tan(e + f*x)))/(a + a*tan(e + f*x)*1i)^2,x)","-\frac{B\,d\,f\,x-A\,c\,f\,x+A\,d\,f\,x\,1{}\mathrm{i}+B\,c\,f\,x\,1{}\mathrm{i}}{4\,a^2\,f}+\frac{\left(A\,c+3\,B\,d-A\,d\,1{}\mathrm{i}-B\,c\,1{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^3+\left(2\,A\,d+2\,B\,c+B\,d\,4{}\mathrm{i}\right)\,{\mathrm{tan}\left(e+f\,x\right)}^2+\left(3\,A\,c+B\,d+A\,d\,1{}\mathrm{i}+B\,c\,1{}\mathrm{i}\right)\,\mathrm{tan}\left(e+f\,x\right)+A\,c\,2{}\mathrm{i}+B\,d\,2{}\mathrm{i}}{f\,\left(4\,a^2\,{\mathrm{tan}\left(e+f\,x\right)}^4+8\,a^2\,{\mathrm{tan}\left(e+f\,x\right)}^2+4\,a^2\right)}","Not used",1,"(A*c*2i + B*d*2i + tan(e + f*x)*(3*A*c + A*d*1i + B*c*1i + B*d) + tan(e + f*x)^2*(2*A*d + 2*B*c + B*d*4i) + tan(e + f*x)^3*(A*c - A*d*1i - B*c*1i + 3*B*d))/(f*(4*a^2 + 8*a^2*tan(e + f*x)^2 + 4*a^2*tan(e + f*x)^4)) - (A*d*f*x*1i - A*c*f*x + B*c*f*x*1i + B*d*f*x)/(4*a^2*f)","B"
855,1,245,147,10.267057,"\text{Not used}","int(((A + B*tan(e + f*x))*(c + d*tan(e + f*x)))/(a + a*tan(e + f*x)*1i)^(3/2),x)","\frac{\frac{\left(A\,c+A\,d\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3\,f}+\frac{\left(A\,c-A\,d\,1{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,a\,f}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}-\frac{\frac{B\,c+B\,d\,1{}\mathrm{i}}{3\,f}-\frac{\left(B\,c+B\,d\,3{}\mathrm{i}\right)\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}{2\,a\,f}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}+\frac{\sqrt{2}\,B\,\mathrm{atanh}\left(\frac{\sqrt{2}\,B\,\left(d+c\,1{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{-a}\,\left(B\,c-B\,d\,1{}\mathrm{i}\right)}\right)\,\left(d+c\,1{}\mathrm{i}\right)}{4\,{\left(-a\right)}^{3/2}\,f}+\frac{\sqrt{2}\,A\,\mathrm{atan}\left(\frac{\sqrt{2}\,A\,\left(d+c\,1{}\mathrm{i}\right)\,\sqrt{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}}{2\,\sqrt{a}\,\left(A\,c-A\,d\,1{}\mathrm{i}\right)}\right)\,\left(d+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,a^{3/2}\,f}","Not used",1,"(((A*c + A*d*1i)*1i)/(3*f) + ((A*c - A*d*1i)*(a + a*tan(e + f*x)*1i)*1i)/(2*a*f))/(a + a*tan(e + f*x)*1i)^(3/2) - ((B*c + B*d*1i)/(3*f) - ((B*c + B*d*3i)*(a + a*tan(e + f*x)*1i))/(2*a*f))/(a + a*tan(e + f*x)*1i)^(3/2) + (2^(1/2)*B*atanh((2^(1/2)*B*(c*1i + d)*(a + a*tan(e + f*x)*1i)^(1/2))/(2*(-a)^(1/2)*(B*c - B*d*1i)))*(c*1i + d))/(4*(-a)^(3/2)*f) + (2^(1/2)*A*atan((2^(1/2)*A*(c*1i + d)*(a + a*tan(e + f*x)*1i)^(1/2))/(2*a^(1/2)*(A*c - A*d*1i)))*(c*1i + d)*1i)/(4*a^(3/2)*f)","B"