1,1,106,94,3.520535,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^10,x)","\frac{a\,\left(-{\cos\left(c+d\,x\right)}^{10}\,63{}\mathrm{i}+256\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^9+128\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^7+96\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^5+80\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^3+70\,\sin\left(c+d\,x\right)\,\cos\left(c+d\,x\right)+63{}\mathrm{i}\right)}{630\,d\,{\cos\left(c+d\,x\right)}^{10}}","Not used",1,"(a*(70*cos(c + d*x)*sin(c + d*x) + 80*cos(c + d*x)^3*sin(c + d*x) + 96*cos(c + d*x)^5*sin(c + d*x) + 128*cos(c + d*x)^7*sin(c + d*x) + 256*cos(c + d*x)^9*sin(c + d*x) - cos(c + d*x)^10*63i + 63i))/(630*d*cos(c + d*x)^10)","B"
2,1,149,75,3.268594,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^8,x)","\frac{a\,\sin\left(c+d\,x\right)\,\left(280\,{\cos\left(c+d\,x\right)}^7+{\cos\left(c+d\,x\right)}^6\,\sin\left(c+d\,x\right)\,140{}\mathrm{i}+280\,{\cos\left(c+d\,x\right)}^5\,{\sin\left(c+d\,x\right)}^2+{\cos\left(c+d\,x\right)}^4\,{\sin\left(c+d\,x\right)}^3\,210{}\mathrm{i}+168\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^4+{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^5\,140{}\mathrm{i}+40\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^6+{\sin\left(c+d\,x\right)}^7\,35{}\mathrm{i}\right)}{280\,d\,{\cos\left(c+d\,x\right)}^8}","Not used",1,"(a*sin(c + d*x)*(40*cos(c + d*x)*sin(c + d*x)^6 + cos(c + d*x)^6*sin(c + d*x)*140i + 280*cos(c + d*x)^7 + sin(c + d*x)^7*35i + cos(c + d*x)^2*sin(c + d*x)^5*140i + 168*cos(c + d*x)^3*sin(c + d*x)^4 + cos(c + d*x)^4*sin(c + d*x)^3*210i + 280*cos(c + d*x)^5*sin(c + d*x)^2))/(280*d*cos(c + d*x)^8)","B"
3,1,112,62,3.240745,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^6,x)","\frac{a\,\sin\left(c+d\,x\right)\,\left(30\,{\cos\left(c+d\,x\right)}^5+{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)\,15{}\mathrm{i}+20\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^2+{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^3\,15{}\mathrm{i}+6\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^4+{\sin\left(c+d\,x\right)}^5\,5{}\mathrm{i}\right)}{30\,d\,{\cos\left(c+d\,x\right)}^6}","Not used",1,"(a*sin(c + d*x)*(6*cos(c + d*x)*sin(c + d*x)^4 + cos(c + d*x)^4*sin(c + d*x)*15i + 30*cos(c + d*x)^5 + sin(c + d*x)^5*5i + cos(c + d*x)^2*sin(c + d*x)^3*15i + 20*cos(c + d*x)^3*sin(c + d*x)^2))/(30*d*cos(c + d*x)^6)","B"
4,1,48,46,3.243904,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^4,x)","\frac{\frac{1{}\mathrm{i}\,a\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+\frac{1{}\mathrm{i}\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+a\,\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"(a*tan(c + d*x) + (a*tan(c + d*x)^2*1i)/2 + (a*tan(c + d*x)^3)/3 + (a*tan(c + d*x)^4*1i)/4)/d","B"
5,1,23,27,3.209484,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^2,x)","\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,\left(2+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2\,d}","Not used",1,"(a*tan(c + d*x)*(tan(c + d*x)*1i + 2))/(2*d)","B"
6,1,17,19,3.257470,"\text{Not used}","int(a + a*tan(c + d*x)*1i,x)","\frac{a\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(a*log(tan(c + d*x) + 1i)*1i)/d","B"
7,1,22,45,3.230638,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i),x)","\frac{a\,x}{2}+\frac{a}{2\,d\,\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(a*x)/2 + a/(2*d*(tan(c + d*x) + 1i))","B"
8,1,64,67,3.335545,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i),x)","\frac{3\,a\,x}{8}+\frac{\frac{3\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{8}+\frac{3{}\mathrm{i}\,a\,\mathrm{tan}\left(c+d\,x\right)}{8}+\frac{a}{4}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^3+{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(3*a*x)/8 + (a/4 + (a*tan(c + d*x)*3i)/8 + (3*a*tan(c + d*x)^2)/8)/(d*(tan(c + d*x) + tan(c + d*x)^2*1i + tan(c + d*x)^3 + 1i))","B"
9,1,108,89,3.568272,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i),x)","\frac{5\,a\,x}{16}+\frac{\frac{5\,a\,{\mathrm{tan}\left(c+d\,x\right)}^4}{16}+\frac{5{}\mathrm{i}\,a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{16}+\frac{25\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{48}+\frac{25{}\mathrm{i}\,a\,\mathrm{tan}\left(c+d\,x\right)}{48}+\frac{a}{6}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^5+{\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\,2{}\mathrm{i}+\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(5*a*x)/16 + (a/6 + (a*tan(c + d*x)*25i)/48 + (25*a*tan(c + d*x)^2)/48 + (a*tan(c + d*x)^3*5i)/16 + (5*a*tan(c + d*x)^4)/16)/(d*(tan(c + d*x) + tan(c + d*x)^2*2i + 2*tan(c + d*x)^3 + tan(c + d*x)^4*1i + tan(c + d*x)^5 + 1i))","B"
10,1,152,111,4.847654,"\text{Not used}","int(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i),x)","\frac{35\,a\,x}{128}+\frac{\frac{35\,a\,{\mathrm{tan}\left(c+d\,x\right)}^6}{128}+\frac{35{}\mathrm{i}\,a\,{\mathrm{tan}\left(c+d\,x\right)}^5}{128}+\frac{35\,a\,{\mathrm{tan}\left(c+d\,x\right)}^4}{48}+\frac{35{}\mathrm{i}\,a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{48}+\frac{77\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{128}+\frac{77{}\mathrm{i}\,a\,\mathrm{tan}\left(c+d\,x\right)}{128}+\frac{a}{8}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^7+{\mathrm{tan}\left(c+d\,x\right)}^6\,1{}\mathrm{i}+3\,{\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,3{}\mathrm{i}+3\,{\mathrm{tan}\left(c+d\,x\right)}^3+{\mathrm{tan}\left(c+d\,x\right)}^2\,3{}\mathrm{i}+\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(35*a*x)/128 + (a/8 + (a*tan(c + d*x)*77i)/128 + (77*a*tan(c + d*x)^2)/128 + (a*tan(c + d*x)^3*35i)/48 + (35*a*tan(c + d*x)^4)/48 + (a*tan(c + d*x)^5*35i)/128 + (35*a*tan(c + d*x)^6)/128)/(d*(tan(c + d*x) + tan(c + d*x)^2*3i + 3*tan(c + d*x)^3 + tan(c + d*x)^4*3i + 3*tan(c + d*x)^5 + tan(c + d*x)^6*1i + tan(c + d*x)^7 + 1i))","B"
11,1,247,98,7.373670,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^7,x)","\frac{5\,a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{8\,d}-\frac{-\frac{11\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{13}}{8}+2{}\mathrm{i}\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}+\frac{7\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}}{6}-\frac{85\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{24}+10{}\mathrm{i}\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+\frac{85\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{24}+6{}\mathrm{i}\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{7\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{6}+\frac{11\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8}+\frac{a\,2{}\mathrm{i}}{7}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{14}-7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}+21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(5*a*atanh(tan(c/2 + (d*x)/2)))/(8*d) - ((a*2i)/7 + (11*a*tan(c/2 + (d*x)/2))/8 - (7*a*tan(c/2 + (d*x)/2)^3)/6 + a*tan(c/2 + (d*x)/2)^4*6i + (85*a*tan(c/2 + (d*x)/2)^5)/24 + a*tan(c/2 + (d*x)/2)^8*10i - (85*a*tan(c/2 + (d*x)/2)^9)/24 + (7*a*tan(c/2 + (d*x)/2)^11)/6 + a*tan(c/2 + (d*x)/2)^12*2i - (11*a*tan(c/2 + (d*x)/2)^13)/8)/(d*(7*tan(c/2 + (d*x)/2)^2 - 21*tan(c/2 + (d*x)/2)^4 + 35*tan(c/2 + (d*x)/2)^6 - 35*tan(c/2 + (d*x)/2)^8 + 21*tan(c/2 + (d*x)/2)^10 - 7*tan(c/2 + (d*x)/2)^12 + tan(c/2 + (d*x)/2)^14 - 1))","B"
12,1,178,76,6.902516,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^5,x)","\frac{3\,a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,d}-\frac{-\frac{5\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{4}+2{}\mathrm{i}\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+\frac{a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{2}+4{}\mathrm{i}\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2}+\frac{5\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{a\,2{}\mathrm{i}}{5}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(3*a*atanh(tan(c/2 + (d*x)/2)))/(4*d) - ((a*2i)/5 + (5*a*tan(c/2 + (d*x)/2))/4 - (a*tan(c/2 + (d*x)/2)^3)/2 + a*tan(c/2 + (d*x)/2)^4*4i + (a*tan(c/2 + (d*x)/2)^7)/2 + a*tan(c/2 + (d*x)/2)^8*2i - (5*a*tan(c/2 + (d*x)/2)^9)/4)/(d*(5*tan(c/2 + (d*x)/2)^2 - 10*tan(c/2 + (d*x)/2)^4 + 10*tan(c/2 + (d*x)/2)^6 - 5*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^10 - 1))","B"
13,1,107,54,5.129581,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x)^3,x)","\frac{a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{-a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+2{}\mathrm{i}\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{a\,2{}\mathrm{i}}{3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(a*atanh(tan(c/2 + (d*x)/2)))/d - ((a*2i)/3 + a*tan(c/2 + (d*x)/2) + a*tan(c/2 + (d*x)/2)^4*2i - a*tan(c/2 + (d*x)/2)^5)/(d*(3*tan(c/2 + (d*x)/2)^2 - 3*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 1))","B"
14,1,39,27,3.345031,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/cos(c + d*x),x)","\frac{2\,a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{a\,2{}\mathrm{i}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(2*a*atanh(tan(c/2 + (d*x)/2)))/d - (a*2i)/(d*(tan(c/2 + (d*x)/2)^2 - 1))","B"
15,1,20,26,3.280072,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i),x)","\frac{2\,a}{d\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*a)/(d*(tan(c/2 + (d*x)/2) + 1i))","B"
16,1,54,46,3.413028,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i),x)","\frac{2\,a\,\left(-\frac{{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}}{4}-\frac{{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}^2\,1{}\mathrm{i}}{4}+\frac{9\,\sin\left(c+d\,x\right)}{8}+\frac{\sin\left(3\,c+3\,d\,x\right)}{8}\right)}{3\,d}","Not used",1,"(2*a*((9*sin(c + d*x))/8 + sin(3*c + 3*d*x)/8 - (cos(c/2 + (d*x)/2)^2*3i)/4 - (cos((3*c)/2 + (3*d*x)/2)^2*1i)/4))/(3*d)","B"
17,1,70,62,4.928504,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i),x)","-\frac{2\,a\,\left(-\frac{75\,\sin\left(c+d\,x\right)}{16}-\frac{25\,\sin\left(3\,c+3\,d\,x\right)}{32}-\frac{3\,\sin\left(5\,c+5\,d\,x\right)}{32}+\frac{\cos\left(c+d\,x\right)\,15{}\mathrm{i}}{16}+\frac{\cos\left(3\,c+3\,d\,x\right)\,15{}\mathrm{i}}{32}+\frac{\cos\left(5\,c+5\,d\,x\right)\,3{}\mathrm{i}}{32}\right)}{15\,d}","Not used",1,"-(2*a*((cos(c + d*x)*15i)/16 - (75*sin(c + d*x))/16 + (cos(3*c + 3*d*x)*15i)/32 + (cos(5*c + 5*d*x)*3i)/32 - (25*sin(3*c + 3*d*x))/32 - (3*sin(5*c + 5*d*x))/32))/(15*d)","B"
18,1,93,76,6.073060,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i),x)","-\frac{2\,a\,\left(-\frac{1225\,\sin\left(c+d\,x\right)}{128}-\frac{245\,\sin\left(3\,c+3\,d\,x\right)}{128}-\frac{49\,\sin\left(5\,c+5\,d\,x\right)}{128}-\frac{5\,\sin\left(7\,c+7\,d\,x\right)}{128}+\frac{\cos\left(c+d\,x\right)\,175{}\mathrm{i}}{128}+\frac{\cos\left(3\,c+3\,d\,x\right)\,105{}\mathrm{i}}{128}+\frac{\cos\left(5\,c+5\,d\,x\right)\,35{}\mathrm{i}}{128}+\frac{\cos\left(7\,c+7\,d\,x\right)\,5{}\mathrm{i}}{128}\right)}{35\,d}","Not used",1,"-(2*a*((cos(c + d*x)*175i)/128 - (1225*sin(c + d*x))/128 + (cos(3*c + 3*d*x)*105i)/128 + (cos(5*c + 5*d*x)*35i)/128 + (cos(7*c + 7*d*x)*5i)/128 - (245*sin(3*c + 3*d*x))/128 - (49*sin(5*c + 5*d*x))/128 - (5*sin(7*c + 7*d*x))/128))/(35*d)","B"
19,1,151,109,3.262676,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cos(c + d*x)^8,x)","\frac{a^2\,\sin\left(c+d\,x\right)\,\left(252\,{\cos\left(c+d\,x\right)}^8+{\cos\left(c+d\,x\right)}^7\,\sin\left(c+d\,x\right)\,252{}\mathrm{i}+168\,{\cos\left(c+d\,x\right)}^6\,{\sin\left(c+d\,x\right)}^2+{\cos\left(c+d\,x\right)}^5\,{\sin\left(c+d\,x\right)}^3\,378{}\mathrm{i}+{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^5\,252{}\mathrm{i}-72\,{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^6+\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^7\,63{}\mathrm{i}-28\,{\sin\left(c+d\,x\right)}^8\right)}{252\,d\,{\cos\left(c+d\,x\right)}^9}","Not used",1,"(a^2*sin(c + d*x)*(cos(c + d*x)*sin(c + d*x)^7*63i + cos(c + d*x)^7*sin(c + d*x)*252i + 252*cos(c + d*x)^8 - 28*sin(c + d*x)^8 - 72*cos(c + d*x)^2*sin(c + d*x)^6 + cos(c + d*x)^3*sin(c + d*x)^5*252i + cos(c + d*x)^5*sin(c + d*x)^3*378i + 168*cos(c + d*x)^6*sin(c + d*x)^2))/(252*d*cos(c + d*x)^9)","B"
20,1,132,82,3.243744,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cos(c + d*x)^6,x)","\frac{a^2\,\sin\left(c+d\,x\right)\,\left(105\,{\cos\left(c+d\,x\right)}^6+{\cos\left(c+d\,x\right)}^5\,\sin\left(c+d\,x\right)\,105{}\mathrm{i}+35\,{\cos\left(c+d\,x\right)}^4\,{\sin\left(c+d\,x\right)}^2+{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^3\,105{}\mathrm{i}-21\,{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^4+\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^5\,35{}\mathrm{i}-15\,{\sin\left(c+d\,x\right)}^6\right)}{105\,d\,{\cos\left(c+d\,x\right)}^7}","Not used",1,"(a^2*sin(c + d*x)*(cos(c + d*x)*sin(c + d*x)^5*35i + cos(c + d*x)^5*sin(c + d*x)*105i + 105*cos(c + d*x)^6 - 15*sin(c + d*x)^6 - 21*cos(c + d*x)^2*sin(c + d*x)^4 + cos(c + d*x)^3*sin(c + d*x)^3*105i + 35*cos(c + d*x)^4*sin(c + d*x)^2))/(105*d*cos(c + d*x)^7)","B"
21,1,56,55,3.219743,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cos(c + d*x)^4,x)","\frac{-\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{2}+a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+a^2\,\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"(a^2*tan(c + d*x) + a^2*tan(c + d*x)^2*1i + (a^2*tan(c + d*x)^4*1i)/2 - (a^2*tan(c + d*x)^5)/5)/d","B"
22,1,35,27,3.221474,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cos(c + d*x)^2,x)","\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}+3\right)}{3\,d}","Not used",1,"(a^2*tan(c + d*x)*(tan(c + d*x)*3i - tan(c + d*x)^2 + 3))/(3*d)","B"
23,1,29,38,3.230455,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2,x)","\frac{a^2\,\left(-\mathrm{tan}\left(c+d\,x\right)+\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}\right)}{d}","Not used",1,"(a^2*(log(tan(c + d*x) + 1i)*2i - tan(c + d*x)))/d","B"
24,1,18,25,3.276441,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^2,x)","\frac{a^2}{d\,\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"a^2/(d*(tan(c + d*x) + 1i))","B"
25,1,50,63,3.274704,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^2,x)","\frac{a^2\,x}{4}+\frac{\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)}{4}+\frac{a^2\,1{}\mathrm{i}}{2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}-1\right)}","Not used",1,"(a^2*x)/4 + ((a^2*tan(c + d*x))/4 + (a^2*1i)/2)/(d*(tan(c + d*x)*2i + tan(c + d*x)^2 - 1))","B"
26,1,88,117,3.373458,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^2,x)","\frac{a^2\,x}{4}+\frac{\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{4}+\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2}-\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)}{12}+\frac{a^2\,1{}\mathrm{i}}{3}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4+{\mathrm{tan}\left(c+d\,x\right)}^3\,2{}\mathrm{i}+\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}-1\right)}","Not used",1,"(a^2*x)/4 + ((a^2*1i)/3 - (a^2*tan(c + d*x))/12 + (a^2*tan(c + d*x)^2*1i)/2 + (a^2*tan(c + d*x)^3)/4)/(d*(tan(c + d*x)*2i + tan(c + d*x)^3*2i + tan(c + d*x)^4 - 1))","B"
27,1,144,171,4.027142,"\text{Not used}","int(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^2,x)","\frac{15\,a^2\,x}{64}+\frac{\frac{15\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^5}{64}+\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^4\,15{}\mathrm{i}}{32}+\frac{5\,a^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{32}+\frac{a^2\,{\mathrm{tan}\left(c+d\,x\right)}^2\,25{}\mathrm{i}}{32}-\frac{17\,a^2\,\mathrm{tan}\left(c+d\,x\right)}{64}+\frac{a^2\,1{}\mathrm{i}}{4}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^6+{\mathrm{tan}\left(c+d\,x\right)}^5\,2{}\mathrm{i}+{\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+\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}-1\right)}","Not used",1,"(15*a^2*x)/64 + ((a^2*1i)/4 - (17*a^2*tan(c + d*x))/64 + (a^2*tan(c + d*x)^2*25i)/32 + (5*a^2*tan(c + d*x)^3)/32 + (a^2*tan(c + d*x)^4*15i)/32 + (15*a^2*tan(c + d*x)^5)/64)/(d*(tan(c + d*x)*2i - tan(c + d*x)^2 + tan(c + d*x)^3*4i + tan(c + d*x)^4 + tan(c + d*x)^5*2i + tan(c + d*x)^6 - 1))","B"
28,1,290,118,7.152709,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cos(c + d*x)^5,x)","\frac{7\,a^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{8\,d}-\frac{-\frac{9\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}}{8}+a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,4{}\mathrm{i}+\frac{89\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{24}-a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,4{}\mathrm{i}+\frac{11\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{4}+a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,8{}\mathrm{i}+\frac{11\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{4}-a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,8{}\mathrm{i}+\frac{89\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{24}+\frac{a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4{}\mathrm{i}}{5}-\frac{9\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8}-\frac{a^2\,4{}\mathrm{i}}{5}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(7*a^2*atanh(tan(c/2 + (d*x)/2)))/(8*d) - ((a^2*tan(c/2 + (d*x)/2)^2*4i)/5 + (89*a^2*tan(c/2 + (d*x)/2)^3)/24 - a^2*tan(c/2 + (d*x)/2)^4*8i + (11*a^2*tan(c/2 + (d*x)/2)^5)/4 + a^2*tan(c/2 + (d*x)/2)^6*8i + (11*a^2*tan(c/2 + (d*x)/2)^7)/4 - a^2*tan(c/2 + (d*x)/2)^8*4i + (89*a^2*tan(c/2 + (d*x)/2)^9)/24 + a^2*tan(c/2 + (d*x)/2)^10*4i - (9*a^2*tan(c/2 + (d*x)/2)^11)/8 - (a^2*4i)/5 - (9*a^2*tan(c/2 + (d*x)/2))/8)/(d*(15*tan(c/2 + (d*x)/2)^4 - 6*tan(c/2 + (d*x)/2)^2 - 20*tan(c/2 + (d*x)/2)^6 + 15*tan(c/2 + (d*x)/2)^8 - 6*tan(c/2 + (d*x)/2)^10 + tan(c/2 + (d*x)/2)^12 + 1))","B"
29,1,198,94,6.782769,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cos(c + d*x)^3,x)","\frac{5\,a^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,d}-\frac{-\frac{3\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{4}+a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,4{}\mathrm{i}+\frac{11\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{4}-a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,4{}\mathrm{i}+\frac{11\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4}+\frac{a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4{}\mathrm{i}}{3}-\frac{3\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{a^2\,4{}\mathrm{i}}{3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(5*a^2*atanh(tan(c/2 + (d*x)/2)))/(4*d) - ((a^2*tan(c/2 + (d*x)/2)^2*4i)/3 + (11*a^2*tan(c/2 + (d*x)/2)^3)/4 - a^2*tan(c/2 + (d*x)/2)^4*4i + (11*a^2*tan(c/2 + (d*x)/2)^5)/4 + a^2*tan(c/2 + (d*x)/2)^6*4i - (3*a^2*tan(c/2 + (d*x)/2)^7)/4 - (a^2*4i)/3 - (3*a^2*tan(c/2 + (d*x)/2))/4)/(d*(6*tan(c/2 + (d*x)/2)^4 - 4*tan(c/2 + (d*x)/2)^2 - 4*tan(c/2 + (d*x)/2)^6 + tan(c/2 + (d*x)/2)^8 + 1))","B"
30,1,104,68,3.818559,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/cos(c + d*x),x)","\frac{3\,a^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4{}\mathrm{i}+a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-a^2\,4{}\mathrm{i}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(3*a^2*atanh(tan(c/2 + (d*x)/2)))/d - (a^2*tan(c/2 + (d*x)/2)^2*4i + a^2*tan(c/2 + (d*x)/2)^3 - a^2*4i + a^2*tan(c/2 + (d*x)/2))/(d*(tan(c/2 + (d*x)/2)^4 - 2*tan(c/2 + (d*x)/2)^2 + 1))","B"
31,1,41,46,3.372371,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{2\,a^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}+\frac{4\,a^2}{d\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(4*a^2)/(d*(tan(c/2 + (d*x)/2) + 1i)) - (2*a^2*atanh(tan(c/2 + (d*x)/2)))/d","B"
32,1,78,51,3.356785,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^2,x)","-\frac{2\,a^2\,\left(3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,3{}\mathrm{i}-2\right)}{3\,d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"-(2*a^2*(tan(c/2 + (d*x)/2)*3i + 3*tan(c/2 + (d*x)/2)^2 - 2))/(3*d*(3*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*3i - tan(c/2 + (d*x)/2)^3 + 1i))","B"
33,1,71,69,4.174710,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^2,x)","\frac{2\,a^2\,\left(\frac{5\,\sin\left(3\,c+3\,d\,x\right)}{16}-\frac{\cos\left(5\,c+5\,d\,x\right)\,1{}\mathrm{i}}{16}-\frac{\cos\left(3\,c+3\,d\,x\right)\,5{}\mathrm{i}}{16}+\frac{\sin\left(5\,c+5\,d\,x\right)}{16}+\frac{5\,\sqrt{3}\,\sin\left(c+d\,x-\frac{\ln\left(3\right)\,1{}\mathrm{i}}{2}\right)}{8}\right)}{5\,d}","Not used",1,"(2*a^2*((5*sin(3*c + 3*d*x))/16 - (cos(5*c + 5*d*x)*1i)/16 - (cos(3*c + 3*d*x)*5i)/16 + sin(5*c + 5*d*x)/16 + (5*3^(1/2)*sin(c - (log(3)*1i)/2 + d*x))/8))/(5*d)","B"
34,1,256,87,3.662823,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^2,x)","\frac{2\,a^2\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-2{}\mathrm{i}\right)}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{256\,a^2\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-\mathrm{i}\right)}{7\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^7}-\frac{8\,a^2\,\left(4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-9{}\mathrm{i}\right)}{3\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^2}-\frac{128\,a^2\,\left(6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-7{}\mathrm{i}\right)}{7\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^6}+\frac{16\,a^2\,\left(8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-15{}\mathrm{i}\right)}{3\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^3}-\frac{32\,a^2\,\left(22\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-35{}\mathrm{i}\right)}{7\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^4}+\frac{32\,a^2\,\left(31\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-42{}\mathrm{i}\right)}{7\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^5}","Not used",1,"(2*a^2*(tan(c/2 + (d*x)/2) - 2i))/(d*(tan(c/2 + (d*x)/2)^2 + 1)) + (256*a^2*(tan(c/2 + (d*x)/2) - 1i))/(7*d*(tan(c/2 + (d*x)/2)^2 + 1)^7) - (8*a^2*(4*tan(c/2 + (d*x)/2) - 9i))/(3*d*(tan(c/2 + (d*x)/2)^2 + 1)^2) - (128*a^2*(6*tan(c/2 + (d*x)/2) - 7i))/(7*d*(tan(c/2 + (d*x)/2)^2 + 1)^6) + (16*a^2*(8*tan(c/2 + (d*x)/2) - 15i))/(3*d*(tan(c/2 + (d*x)/2)^2 + 1)^3) - (32*a^2*(22*tan(c/2 + (d*x)/2) - 35i))/(7*d*(tan(c/2 + (d*x)/2)^2 + 1)^4) + (32*a^2*(31*tan(c/2 + (d*x)/2) - 42i))/(7*d*(tan(c/2 + (d*x)/2)^2 + 1)^5)","B"
35,1,330,105,5.080241,"\text{Not used}","int(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^2,x)","\frac{2\,a^2\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-2{}\mathrm{i}\right)}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{1024\,a^2\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-\mathrm{i}\right)}{9\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^9}-\frac{8\,a^2\,\left(5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-12{}\mathrm{i}\right)}{3\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^2}-\frac{512\,a^2\,\left(8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-9{}\mathrm{i}\right)}{9\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^8}+\frac{128\,a^2\,\left(19\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-24{}\mathrm{i}\right)}{3\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^7}-\frac{64\,a^2\,\left(19\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-35{}\mathrm{i}\right)}{5\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^4}+\frac{56\,a^2\,\left(19\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-40{}\mathrm{i}\right)}{15\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^3}-\frac{128\,a^2\,\left(59\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-84{}\mathrm{i}\right)}{9\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^6}+\frac{32\,a^2\,\left(781\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-1260{}\mathrm{i}\right)}{45\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^5}","Not used",1,"(2*a^2*(tan(c/2 + (d*x)/2) - 2i))/(d*(tan(c/2 + (d*x)/2)^2 + 1)) + (1024*a^2*(tan(c/2 + (d*x)/2) - 1i))/(9*d*(tan(c/2 + (d*x)/2)^2 + 1)^9) - (8*a^2*(5*tan(c/2 + (d*x)/2) - 12i))/(3*d*(tan(c/2 + (d*x)/2)^2 + 1)^2) - (512*a^2*(8*tan(c/2 + (d*x)/2) - 9i))/(9*d*(tan(c/2 + (d*x)/2)^2 + 1)^8) + (128*a^2*(19*tan(c/2 + (d*x)/2) - 24i))/(3*d*(tan(c/2 + (d*x)/2)^2 + 1)^7) - (64*a^2*(19*tan(c/2 + (d*x)/2) - 35i))/(5*d*(tan(c/2 + (d*x)/2)^2 + 1)^4) + (56*a^2*(19*tan(c/2 + (d*x)/2) - 40i))/(15*d*(tan(c/2 + (d*x)/2)^2 + 1)^3) - (128*a^2*(59*tan(c/2 + (d*x)/2) - 84i))/(9*d*(tan(c/2 + (d*x)/2)^2 + 1)^6) + (32*a^2*(781*tan(c/2 + (d*x)/2) - 1260i))/(45*d*(tan(c/2 + (d*x)/2)^2 + 1)^5)","B"
36,1,151,109,3.312131,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/cos(c + d*x)^8,x)","-\frac{a^3\,\sin\left(c+d\,x\right)\,\left(-210\,{\cos\left(c+d\,x\right)}^9-{\cos\left(c+d\,x\right)}^8\,\sin\left(c+d\,x\right)\,315{}\mathrm{i}-{\cos\left(c+d\,x\right)}^6\,{\sin\left(c+d\,x\right)}^3\,420{}\mathrm{i}+252\,{\cos\left(c+d\,x\right)}^5\,{\sin\left(c+d\,x\right)}^4-{\cos\left(c+d\,x\right)}^4\,{\sin\left(c+d\,x\right)}^5\,210{}\mathrm{i}+240\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^6+70\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^8+{\sin\left(c+d\,x\right)}^9\,21{}\mathrm{i}\right)}{210\,d\,{\cos\left(c+d\,x\right)}^{10}}","Not used",1,"-(a^3*sin(c + d*x)*(70*cos(c + d*x)*sin(c + d*x)^8 - cos(c + d*x)^8*sin(c + d*x)*315i - 210*cos(c + d*x)^9 + sin(c + d*x)^9*21i + 240*cos(c + d*x)^3*sin(c + d*x)^6 - cos(c + d*x)^4*sin(c + d*x)^5*210i + 252*cos(c + d*x)^5*sin(c + d*x)^4 - cos(c + d*x)^6*sin(c + d*x)^3*420i))/(210*d*cos(c + d*x)^10)","B"
37,1,151,82,3.286073,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/cos(c + d*x)^6,x)","-\frac{a^3\,\sin\left(c+d\,x\right)\,\left(-168\,{\cos\left(c+d\,x\right)}^7-{\cos\left(c+d\,x\right)}^6\,\sin\left(c+d\,x\right)\,252{}\mathrm{i}+56\,{\cos\left(c+d\,x\right)}^5\,{\sin\left(c+d\,x\right)}^2-{\cos\left(c+d\,x\right)}^4\,{\sin\left(c+d\,x\right)}^3\,210{}\mathrm{i}+168\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^4-{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^5\,28{}\mathrm{i}+72\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^6+{\sin\left(c+d\,x\right)}^7\,21{}\mathrm{i}\right)}{168\,d\,{\cos\left(c+d\,x\right)}^8}","Not used",1,"-(a^3*sin(c + d*x)*(72*cos(c + d*x)*sin(c + d*x)^6 - cos(c + d*x)^6*sin(c + d*x)*252i - 168*cos(c + d*x)^7 + sin(c + d*x)^7*21i - cos(c + d*x)^2*sin(c + d*x)^5*28i + 168*cos(c + d*x)^3*sin(c + d*x)^4 - cos(c + d*x)^4*sin(c + d*x)^3*210i + 56*cos(c + d*x)^5*sin(c + d*x)^2))/(168*d*cos(c + d*x)^8)","B"
38,1,114,55,3.263569,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/cos(c + d*x)^4,x)","-\frac{a^3\,\sin\left(c+d\,x\right)\,\left(-30\,{\cos\left(c+d\,x\right)}^5-{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)\,45{}\mathrm{i}+20\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^2-{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^3\,15{}\mathrm{i}+18\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^4+{\sin\left(c+d\,x\right)}^5\,5{}\mathrm{i}\right)}{30\,d\,{\cos\left(c+d\,x\right)}^6}","Not used",1,"-(a^3*sin(c + d*x)*(18*cos(c + d*x)*sin(c + d*x)^4 - cos(c + d*x)^4*sin(c + d*x)*45i - 30*cos(c + d*x)^5 + sin(c + d*x)^5*5i - cos(c + d*x)^2*sin(c + d*x)^3*15i + 20*cos(c + d*x)^3*sin(c + d*x)^2))/(30*d*cos(c + d*x)^6)","B"
39,1,56,27,3.268103,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/cos(c + d*x)^2,x)","\frac{-\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{4}-a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3+\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2\,3{}\mathrm{i}}{2}+a^3\,\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"(a^3*tan(c + d*x) + (a^3*tan(c + d*x)^2*3i)/2 - a^3*tan(c + d*x)^3 - (a^3*tan(c + d*x)^4*1i)/4)/d","B"
40,1,41,63,3.276016,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3,x)","-\frac{a^3\,\left(6\,\mathrm{tan}\left(c+d\,x\right)-\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}\right)}{2\,d}","Not used",1,"-(a^3*(6*tan(c + d*x) - log(tan(c + d*x) + 1i)*8i + tan(c + d*x)^2*1i))/(2*d)","B"
41,1,39,49,3.291381,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^3,x)","\frac{2\,a^3}{d\,\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}-\frac{a^3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2*a^3)/(d*(tan(c + d*x) + 1i)) - (a^3*log(tan(c + d*x) + 1i)*1i)/d","B"
42,1,36,27,3.335182,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{a^3\,\left(\frac{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}}{4}\right)\,1{}\mathrm{i}}{2\,d}","Not used",1,"-(a^3*(exp(c*2i + d*x*2i)/2 + exp(c*4i + d*x*4i)/4)*1i)/(2*d)","B"
43,1,77,90,3.362286,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^3,x)","\frac{a^3\,x}{8}-\frac{\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{8}+\frac{a^3\,\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}}{8}-\frac{5\,a^3}{12}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(a^3*x)/8 - ((a^3*tan(c + d*x)*3i)/8 - (5*a^3)/12 + (a^3*tan(c + d*x)^2)/8)/(d*(3*tan(c + d*x) - tan(c + d*x)^2*3i - tan(c + d*x)^3 + 1i))","B"
44,1,125,144,3.650817,"\text{Not used}","int(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^3,x)","\frac{5\,a^3\,x}{32}-\frac{\frac{5\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^4}{32}+\frac{a^3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,15{}\mathrm{i}}{32}-\frac{35\,a^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{96}+\frac{a^3\,\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}}{32}-\frac{a^3}{3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^5-{\mathrm{tan}\left(c+d\,x\right)}^4\,3{}\mathrm{i}+2\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,2{}\mathrm{i}+3\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(5*a^3*x)/32 - ((a^3*tan(c + d*x)*5i)/32 - a^3/3 - (35*a^3*tan(c + d*x)^2)/96 + (a^3*tan(c + d*x)^3*15i)/32 + (5*a^3*tan(c + d*x)^4)/32)/(d*(3*tan(c + d*x) - tan(c + d*x)^2*2i + 2*tan(c + d*x)^3 - tan(c + d*x)^4*3i - tan(c + d*x)^5 + 1i))","B"
45,1,228,127,6.982901,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/cos(c + d*x)^3,x)","\frac{7\,a^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,d}-\frac{-\frac{a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{4}+a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,6{}\mathrm{i}+\frac{13\,a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{2}-a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,16{}\mathrm{i}+\frac{a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,20{}\mathrm{i}}{3}-\frac{13\,a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2}-\frac{a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,16{}\mathrm{i}}{3}+\frac{a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{a^3\,34{}\mathrm{i}}{15}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(7*a^3*atanh(tan(c/2 + (d*x)/2)))/(4*d) - ((a^3*tan(c/2 + (d*x)/2)^4*20i)/3 - (13*a^3*tan(c/2 + (d*x)/2)^3)/2 - (a^3*tan(c/2 + (d*x)/2)^2*16i)/3 - a^3*tan(c/2 + (d*x)/2)^6*16i + (13*a^3*tan(c/2 + (d*x)/2)^7)/2 + a^3*tan(c/2 + (d*x)/2)^8*6i - (a^3*tan(c/2 + (d*x)/2)^9)/4 + (a^3*34i)/15 + (a^3*tan(c/2 + (d*x)/2))/4)/(d*(5*tan(c/2 + (d*x)/2)^2 - 10*tan(c/2 + (d*x)/2)^4 + 10*tan(c/2 + (d*x)/2)^6 - 5*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^10 - 1))","B"
46,1,136,99,5.230384,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/cos(c + d*x),x)","\frac{5\,a^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{3\,a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,6{}\mathrm{i}-a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,16{}\mathrm{i}-3\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{a^3\,22{}\mathrm{i}}{3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(5*a^3*atanh(tan(c/2 + (d*x)/2)))/d - (a^3*tan(c/2 + (d*x)/2)^4*6i - a^3*tan(c/2 + (d*x)/2)^2*16i + 3*a^3*tan(c/2 + (d*x)/2)^5 + (a^3*22i)/3 - 3*a^3*tan(c/2 + (d*x)/2))/(d*(3*tan(c/2 + (d*x)/2)^2 - 3*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 1))","B"
47,1,102,61,3.639771,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{6\,a^3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{8\,a^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,2{}\mathrm{i}-10\,a^3}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,1{}\mathrm{i}+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"- (6*a^3*atanh(tan(c/2 + (d*x)/2)))/d - (8*a^3*tan(c/2 + (d*x)/2)^2 - 10*a^3 + a^3*tan(c/2 + (d*x)/2)*2i)/(d*(tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*1i - tan(c/2 + (d*x)/2)^3 + 1i))","B"
48,1,66,32,3.331291,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{2\,a^3\,\left(3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}{3\,d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"-(2*a^3*(3*tan(c/2 + (d*x)/2)^2 - 1))/(3*d*(3*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*3i - tan(c/2 + (d*x)/2)^3 + 1i))","B"
49,1,130,88,3.567903,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^3,x)","\frac{2\,a^3\,\left(15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,30{}\mathrm{i}-40\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,20{}\mathrm{i}+7\right)}{15\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*a^3*(tan(c/2 + (d*x)/2)^3*30i - 40*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)*20i + 15*tan(c/2 + (d*x)/2)^4 + 7))/(15*d*(5*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*10i - 10*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*5i + tan(c/2 + (d*x)/2)^5 + 1i))","B"
50,1,134,106,4.543694,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^3,x)","-\frac{2\,a^3\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{17\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2}-\frac{17\,\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}{2}+\frac{31\,\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}{2}-\frac{5\,\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}{2}+\frac{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,35{}\mathrm{i}}{8}-\frac{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)\,35{}\mathrm{i}}{8}+\frac{\cos\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)\,119{}\mathrm{i}}{8}-\frac{\cos\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)\,15{}\mathrm{i}}{8}\right)}{35\,d\,\left(\cos\left(3\,c+3\,d\,x\right)-\sin\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"-(2*a^3*cos(c/2 + (d*x)/2)*((cos(c/2 + (d*x)/2)*35i)/8 - (cos((3*c)/2 + (3*d*x)/2)*35i)/8 + (cos((5*c)/2 + (5*d*x)/2)*119i)/8 - (cos((7*c)/2 + (7*d*x)/2)*15i)/8 + (17*sin(c/2 + (d*x)/2))/2 - (17*sin((3*c)/2 + (3*d*x)/2))/2 + (31*sin((5*c)/2 + (5*d*x)/2))/2 - (5*sin((7*c)/2 + (7*d*x)/2))/2))/(35*d*(cos(3*c + 3*d*x) - sin(3*c + 3*d*x)*1i))","B"
51,1,330,124,4.676055,"\text{Not used}","int(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^3,x)","\frac{2\,a^3\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-3{}\mathrm{i}\right)}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{2048\,a^3\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-\mathrm{i}\right)}{9\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^9}-\frac{1024\,a^3\,\left(8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-9{}\mathrm{i}\right)}{9\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^8}-\frac{4\,a^3\,\left(14\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-39{}\mathrm{i}\right)}{3\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^2}+\frac{8\,a^3\,\left(43\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-97{}\mathrm{i}\right)}{3\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^3}-\frac{16\,a^3\,\left(188\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-357{}\mathrm{i}\right)}{7\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^4}+\frac{128\,a^3\,\left(263\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-333{}\mathrm{i}\right)}{21\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^7}-\frac{64\,a^3\,\left(1598\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-2289{}\mathrm{i}\right)}{63\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^6}+\frac{32\,a^3\,\left(2041\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-3339{}\mathrm{i}\right)}{63\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}^5}","Not used",1,"(2*a^3*(tan(c/2 + (d*x)/2) - 3i))/(d*(tan(c/2 + (d*x)/2)^2 + 1)) + (2048*a^3*(tan(c/2 + (d*x)/2) - 1i))/(9*d*(tan(c/2 + (d*x)/2)^2 + 1)^9) - (1024*a^3*(8*tan(c/2 + (d*x)/2) - 9i))/(9*d*(tan(c/2 + (d*x)/2)^2 + 1)^8) - (4*a^3*(14*tan(c/2 + (d*x)/2) - 39i))/(3*d*(tan(c/2 + (d*x)/2)^2 + 1)^2) + (8*a^3*(43*tan(c/2 + (d*x)/2) - 97i))/(3*d*(tan(c/2 + (d*x)/2)^2 + 1)^3) - (16*a^3*(188*tan(c/2 + (d*x)/2) - 357i))/(7*d*(tan(c/2 + (d*x)/2)^2 + 1)^4) + (128*a^3*(263*tan(c/2 + (d*x)/2) - 333i))/(21*d*(tan(c/2 + (d*x)/2)^2 + 1)^7) - (64*a^3*(1598*tan(c/2 + (d*x)/2) - 2289i))/(63*d*(tan(c/2 + (d*x)/2)^2 + 1)^6) + (32*a^3*(2041*tan(c/2 + (d*x)/2) - 3339i))/(63*d*(tan(c/2 + (d*x)/2)^2 + 1)^5)","B"
52,1,290,163,7.162653,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/cos(c + d*x)^3,x)","\frac{21\,a^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{8\,d}-\frac{\frac{5\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}}{8}+a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,8{}\mathrm{i}+\frac{235\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{24}-a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,40{}\mathrm{i}-\frac{63\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{4}+\frac{a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,112{}\mathrm{i}}{3}-\frac{63\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{4}-a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,16{}\mathrm{i}+\frac{235\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{24}+\frac{a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,72{}\mathrm{i}}{5}+\frac{5\,a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8}-\frac{a^4\,56{}\mathrm{i}}{15}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(21*a^4*atanh(tan(c/2 + (d*x)/2)))/(8*d) - ((a^4*tan(c/2 + (d*x)/2)^2*72i)/5 + (235*a^4*tan(c/2 + (d*x)/2)^3)/24 - a^4*tan(c/2 + (d*x)/2)^4*16i - (63*a^4*tan(c/2 + (d*x)/2)^5)/4 + (a^4*tan(c/2 + (d*x)/2)^6*112i)/3 - (63*a^4*tan(c/2 + (d*x)/2)^7)/4 - a^4*tan(c/2 + (d*x)/2)^8*40i + (235*a^4*tan(c/2 + (d*x)/2)^9)/24 + a^4*tan(c/2 + (d*x)/2)^10*8i + (5*a^4*tan(c/2 + (d*x)/2)^11)/8 - (a^4*56i)/15 + (5*a^4*tan(c/2 + (d*x)/2))/8)/(d*(15*tan(c/2 + (d*x)/2)^4 - 6*tan(c/2 + (d*x)/2)^2 - 20*tan(c/2 + (d*x)/2)^6 + 15*tan(c/2 + (d*x)/2)^8 - 6*tan(c/2 + (d*x)/2)^10 + tan(c/2 + (d*x)/2)^12 + 1))","B"
53,1,198,133,6.774288,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/cos(c + d*x),x)","\frac{35\,a^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,d}-\frac{\frac{27\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{4}+a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,8{}\mathrm{i}-\frac{35\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{4}-a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,40{}\mathrm{i}-\frac{35\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4}+\frac{a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,136{}\mathrm{i}}{3}+\frac{27\,a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{a^4\,40{}\mathrm{i}}{3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(35*a^4*atanh(tan(c/2 + (d*x)/2)))/(4*d) - ((a^4*tan(c/2 + (d*x)/2)^2*136i)/3 - (35*a^4*tan(c/2 + (d*x)/2)^3)/4 - a^4*tan(c/2 + (d*x)/2)^4*40i - (35*a^4*tan(c/2 + (d*x)/2)^5)/4 + a^4*tan(c/2 + (d*x)/2)^6*8i + (27*a^4*tan(c/2 + (d*x)/2)^7)/4 - (a^4*40i)/3 + (27*a^4*tan(c/2 + (d*x)/2))/4)/(d*(6*tan(c/2 + (d*x)/2)^4 - 4*tan(c/2 + (d*x)/2)^2 - 4*tan(c/2 + (d*x)/2)^6 + tan(c/2 + (d*x)/2)^8 + 1))","B"
54,1,159,97,5.299785,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{15\,a^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}+\frac{17\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,9{}\mathrm{i}-39\,a^4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,7{}\mathrm{i}+24\,a^4}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,1{}\mathrm{i}-2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,2{}\mathrm{i}+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(a^4*tan(c/2 + (d*x)/2)^3*9i - 39*a^4*tan(c/2 + (d*x)/2)^2 + 17*a^4*tan(c/2 + (d*x)/2)^4 + 24*a^4 - a^4*tan(c/2 + (d*x)/2)*7i)/(d*(tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*2i - 2*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*1i + tan(c/2 + (d*x)/2)^5 + 1i)) - (15*a^4*atanh(tan(c/2 + (d*x)/2)))/d","B"
55,1,88,78,3.562555,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^4,x)","\frac{2\,a^4\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{\frac{8\,a^4}{3}-a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,8{}\mathrm{i}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*a^4*atanh(tan(c/2 + (d*x)/2)))/d - ((8*a^4)/3 - a^4*tan(c/2 + (d*x)/2)*8i)/(d*(3*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*3i - tan(c/2 + (d*x)/2)^3 + 1i))","B"
56,1,130,66,3.546794,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^4,x)","\frac{2\,a^4\,\left(15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,15{}\mathrm{i}-25\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,5{}\mathrm{i}+4\right)}{15\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*a^4*(tan(c/2 + (d*x)/2)^3*15i - 25*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)*5i + 15*tan(c/2 + (d*x)/2)^4 + 4))/(15*d*(5*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*10i - 10*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*5i + tan(c/2 + (d*x)/2)^5 + 1i))","B"
57,1,186,102,4.266449,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^4,x)","-\frac{2\,a^4\,\left(35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,105{}\mathrm{i}-210\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,210{}\mathrm{i}+147\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,49{}\mathrm{i}-12\right)}{35\,d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,7{}\mathrm{i}+21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,35{}\mathrm{i}-35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,21{}\mathrm{i}+7\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"-(2*a^4*(tan(c/2 + (d*x)/2)*49i + 147*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*210i - 210*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*105i + 35*tan(c/2 + (d*x)/2)^6 - 12))/(35*d*(7*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*21i - 35*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*35i + 21*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*7i - tan(c/2 + (d*x)/2)^7 + 1i))","B"
58,1,145,120,4.692610,"\text{Not used}","int(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^4,x)","\frac{2\,a^4\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{89\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8}-\frac{55\,\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}{4}+\frac{55\,\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}{4}-\frac{355\,\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}{16}+\frac{35\,\sin\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)}{16}-\frac{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)\,21{}\mathrm{i}}{2}+\frac{\cos\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)\,21{}\mathrm{i}}{2}-\frac{\cos\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)\,87{}\mathrm{i}}{4}+\frac{\cos\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)\,7{}\mathrm{i}}{4}\right)}{63\,d\,\left(\cos\left(4\,c+4\,d\,x\right)-\sin\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(2*a^4*cos(c/2 + (d*x)/2)*((cos((5*c)/2 + (5*d*x)/2)*21i)/2 - (cos((3*c)/2 + (3*d*x)/2)*21i)/2 - (cos((7*c)/2 + (7*d*x)/2)*87i)/4 + (cos((9*c)/2 + (9*d*x)/2)*7i)/4 + (89*sin(c/2 + (d*x)/2))/8 - (55*sin((3*c)/2 + (3*d*x)/2))/4 + (55*sin((5*c)/2 + (5*d*x)/2))/4 - (355*sin((7*c)/2 + (7*d*x)/2))/16 + (35*sin((9*c)/2 + (9*d*x)/2))/16))/(63*d*(cos(4*c + 4*d*x) - sin(4*c + 4*d*x)*1i))","B"
59,1,146,109,3.708466,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^5/cos(c + d*x)^8,x)","\frac{a^5\,\left(-{\cos\left(c+d\,x\right)}^{12}\,1749{}\mathrm{i}+2048\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^{11}+1024\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^9+768\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^7+640\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^5+{\cos\left(c+d\,x\right)}^4\,3960{}\mathrm{i}-3400\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^3-{\cos\left(c+d\,x\right)}^2\,2376{}\mathrm{i}+900\,\sin\left(c+d\,x\right)\,\cos\left(c+d\,x\right)+165{}\mathrm{i}\right)}{1980\,d\,{\cos\left(c+d\,x\right)}^{12}}","Not used",1,"(a^5*(900*cos(c + d*x)*sin(c + d*x) - 3400*cos(c + d*x)^3*sin(c + d*x) + 640*cos(c + d*x)^5*sin(c + d*x) + 768*cos(c + d*x)^7*sin(c + d*x) + 1024*cos(c + d*x)^9*sin(c + d*x) + 2048*cos(c + d*x)^11*sin(c + d*x) - cos(c + d*x)^2*2376i + cos(c + d*x)^4*3960i - cos(c + d*x)^12*1749i + 165i))/(1980*d*cos(c + d*x)^12)","B"
60,1,151,82,3.325537,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^5/cos(c + d*x)^6,x)","\frac{a^5\,\sin\left(c+d\,x\right)\,\left(90\,{\cos\left(c+d\,x\right)}^9+{\cos\left(c+d\,x\right)}^8\,\sin\left(c+d\,x\right)\,225{}\mathrm{i}-240\,{\cos\left(c+d\,x\right)}^7\,{\sin\left(c+d\,x\right)}^2-252\,{\cos\left(c+d\,x\right)}^5\,{\sin\left(c+d\,x\right)}^4-{\cos\left(c+d\,x\right)}^4\,{\sin\left(c+d\,x\right)}^5\,210{}\mathrm{i}-{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^7\,90{}\mathrm{i}+50\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^8+{\sin\left(c+d\,x\right)}^9\,9{}\mathrm{i}\right)}{90\,d\,{\cos\left(c+d\,x\right)}^{10}}","Not used",1,"(a^5*sin(c + d*x)*(50*cos(c + d*x)*sin(c + d*x)^8 + cos(c + d*x)^8*sin(c + d*x)*225i + 90*cos(c + d*x)^9 + sin(c + d*x)^9*9i - cos(c + d*x)^2*sin(c + d*x)^7*90i - cos(c + d*x)^4*sin(c + d*x)^5*210i - 252*cos(c + d*x)^5*sin(c + d*x)^4 - 240*cos(c + d*x)^7*sin(c + d*x)^2))/(90*d*cos(c + d*x)^10)","B"
61,1,151,55,3.295284,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^5/cos(c + d*x)^4,x)","\frac{a^5\,\sin\left(c+d\,x\right)\,\left(56\,{\cos\left(c+d\,x\right)}^7+{\cos\left(c+d\,x\right)}^6\,\sin\left(c+d\,x\right)\,140{}\mathrm{i}-168\,{\cos\left(c+d\,x\right)}^5\,{\sin\left(c+d\,x\right)}^2-{\cos\left(c+d\,x\right)}^4\,{\sin\left(c+d\,x\right)}^3\,70{}\mathrm{i}-56\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^4-{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^5\,84{}\mathrm{i}+40\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^6+{\sin\left(c+d\,x\right)}^7\,7{}\mathrm{i}\right)}{56\,d\,{\cos\left(c+d\,x\right)}^8}","Not used",1,"(a^5*sin(c + d*x)*(40*cos(c + d*x)*sin(c + d*x)^6 + cos(c + d*x)^6*sin(c + d*x)*140i + 56*cos(c + d*x)^7 + sin(c + d*x)^7*7i - cos(c + d*x)^2*sin(c + d*x)^5*84i - 56*cos(c + d*x)^3*sin(c + d*x)^4 - cos(c + d*x)^4*sin(c + d*x)^3*70i - 168*cos(c + d*x)^5*sin(c + d*x)^2))/(56*d*cos(c + d*x)^8)","B"
62,1,114,27,3.257926,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^5/cos(c + d*x)^2,x)","\frac{a^5\,\sin\left(c+d\,x\right)\,\left(6\,{\cos\left(c+d\,x\right)}^5+{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)\,15{}\mathrm{i}-20\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^2-{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^3\,15{}\mathrm{i}+6\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^4+{\sin\left(c+d\,x\right)}^5\,1{}\mathrm{i}\right)}{6\,d\,{\cos\left(c+d\,x\right)}^6}","Not used",1,"(a^5*sin(c + d*x)*(6*cos(c + d*x)*sin(c + d*x)^4 + cos(c + d*x)^4*sin(c + d*x)*15i + 6*cos(c + d*x)^5 + sin(c + d*x)^5*1i - cos(c + d*x)^2*sin(c + d*x)^3*15i - 20*cos(c + d*x)^3*sin(c + d*x)^2))/(6*d*cos(c + d*x)^6)","B"
63,1,73,117,3.272298,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^5,x)","\frac{a^5\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,16{}\mathrm{i}-15\,a^5\,\mathrm{tan}\left(c+d\,x\right)-\frac{a^5\,{\mathrm{tan}\left(c+d\,x\right)}^2\,11{}\mathrm{i}}{2}+\frac{5\,a^5\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+\frac{a^5\,{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{4}}{d}","Not used",1,"(a^5*log(tan(c + d*x) + 1i)*16i - 15*a^5*tan(c + d*x) - (a^5*tan(c + d*x)^2*11i)/2 + (5*a^5*tan(c + d*x)^3)/3 + (a^5*tan(c + d*x)^4*1i)/4)/d","B"
64,1,70,83,3.302499,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^5,x)","\frac{8\,a^5}{d\,\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}-\frac{a^5\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,12{}\mathrm{i}}{d}+\frac{5\,a^5\,\mathrm{tan}\left(c+d\,x\right)}{d}+\frac{a^5\,{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,d}","Not used",1,"(8*a^5)/(d*(tan(c + d*x) + 1i)) - (a^5*log(tan(c + d*x) + 1i)*12i)/d + (5*a^5*tan(c + d*x))/d + (a^5*tan(c + d*x)^2*1i)/(2*d)","B"
65,1,64,73,3.311953,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^5,x)","\frac{a^5\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{d}-\frac{4\,a^5\,\mathrm{tan}\left(c+d\,x\right)+a^5\,2{}\mathrm{i}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}-1\right)}","Not used",1,"(a^5*log(tan(c + d*x) + 1i)*1i)/d - (4*a^5*tan(c + d*x) + a^5*2i)/(d*(tan(c + d*x)*2i + tan(c + d*x)^2 - 1))","B"
66,1,53,55,3.281236,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^5,x)","\frac{a^5\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}\right)}{6\,d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(a^5*(tan(c + d*x)*3i + 1))/(6*d*(3*tan(c + d*x) - tan(c + d*x)^2*3i - tan(c + d*x)^3 + 1i))","B"
67,1,63,27,3.300661,"\text{Not used}","int(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^5,x)","-\frac{\frac{a^5\,{\cos\left(c+d\,x\right)}^4\,1{}\mathrm{i}}{4}+a^5\,{\cos\left(c+d\,x\right)}^6\,\left(\mathrm{tan}\left(c+d\,x\right)-2{}\mathrm{i}\right)-2\,a^5\,{\cos\left(c+d\,x\right)}^8\,\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{d}","Not used",1,"-((a^5*cos(c + d*x)^4*1i)/4 + a^5*cos(c + d*x)^6*(tan(c + d*x) - 2i) - 2*a^5*cos(c + d*x)^8*(tan(c + d*x) - 1i))/d","B"
68,1,122,144,3.636929,"\text{Not used}","int(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^5,x)","\frac{a^5\,x}{32}+\frac{\frac{a^5\,{\mathrm{tan}\left(c+d\,x\right)}^4}{32}+\frac{a^5\,{\mathrm{tan}\left(c+d\,x\right)}^3\,5{}\mathrm{i}}{32}-\frac{31\,a^5\,{\mathrm{tan}\left(c+d\,x\right)}^2}{96}-\frac{a^5\,\mathrm{tan}\left(c+d\,x\right)\,35{}\mathrm{i}}{96}+\frac{4\,a^5}{15}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(a^5*x)/32 + ((4*a^5)/15 - (a^5*tan(c + d*x)*35i)/96 - (31*a^5*tan(c + d*x)^2)/96 + (a^5*tan(c + d*x)^3*5i)/32 + (a^5*tan(c + d*x)^4)/32)/(d*(5*tan(c + d*x) - tan(c + d*x)^2*10i - 10*tan(c + d*x)^3 + tan(c + d*x)^4*5i + tan(c + d*x)^5 + 1i))","B"
69,1,171,198,4.904585,"\text{Not used}","int(cos(c + d*x)^12*(a + a*tan(c + d*x)*1i)^5,x)","\frac{7\,a^5\,x}{128}-\frac{-\frac{7\,a^5\,{\mathrm{tan}\left(c+d\,x\right)}^6}{128}-\frac{a^5\,{\mathrm{tan}\left(c+d\,x\right)}^5\,35{}\mathrm{i}}{128}+\frac{49\,a^5\,{\mathrm{tan}\left(c+d\,x\right)}^4}{96}+\frac{a^5\,{\mathrm{tan}\left(c+d\,x\right)}^3\,35{}\mathrm{i}}{96}+\frac{63\,a^5\,{\mathrm{tan}\left(c+d\,x\right)}^2}{640}+\frac{a^5\,\mathrm{tan}\left(c+d\,x\right)\,133{}\mathrm{i}}{384}-\frac{31\,a^5}{120}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^7+{\mathrm{tan}\left(c+d\,x\right)}^6\,5{}\mathrm{i}-9\,{\mathrm{tan}\left(c+d\,x\right)}^5-{\mathrm{tan}\left(c+d\,x\right)}^4\,5{}\mathrm{i}-5\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,9{}\mathrm{i}+5\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(7*a^5*x)/128 - ((a^5*tan(c + d*x)*133i)/384 - (31*a^5)/120 + (63*a^5*tan(c + d*x)^2)/640 + (a^5*tan(c + d*x)^3*35i)/96 + (49*a^5*tan(c + d*x)^4)/96 - (a^5*tan(c + d*x)^5*35i)/128 - (7*a^5*tan(c + d*x)^6)/128)/(d*(5*tan(c + d*x) - tan(c + d*x)^2*9i - 5*tan(c + d*x)^3 - tan(c + d*x)^4*5i - 9*tan(c + d*x)^5 + tan(c + d*x)^6*5i + tan(c + d*x)^7 + 1i))","B"
70,1,228,167,7.043269,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^5/cos(c + d*x),x)","\frac{63\,a^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,d}-\frac{\frac{55\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{4}+a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,10{}\mathrm{i}-\frac{75\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{2}-a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,80{}\mathrm{i}+a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,164{}\mathrm{i}+\frac{75\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2}-a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,112{}\mathrm{i}-\frac{55\,a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{a^5\,122{}\mathrm{i}}{5}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(63*a^5*atanh(tan(c/2 + (d*x)/2)))/(4*d) - ((75*a^5*tan(c/2 + (d*x)/2)^3)/2 - a^5*tan(c/2 + (d*x)/2)^2*112i + a^5*tan(c/2 + (d*x)/2)^4*164i - a^5*tan(c/2 + (d*x)/2)^6*80i - (75*a^5*tan(c/2 + (d*x)/2)^7)/2 + a^5*tan(c/2 + (d*x)/2)^8*10i + (55*a^5*tan(c/2 + (d*x)/2)^9)/4 + (a^5*122i)/5 - (55*a^5*tan(c/2 + (d*x)/2))/4)/(d*(5*tan(c/2 + (d*x)/2)^2 - 10*tan(c/2 + (d*x)/2)^4 + 10*tan(c/2 + (d*x)/2)^6 - 5*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^10 - 1))","B"
71,1,222,130,7.135135,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^5,x)","-\frac{35\,a^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{37\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,27{}\mathrm{i}-118\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,48{}\mathrm{i}+139\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\frac{a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,55{}\mathrm{i}}{3}-\frac{166\,a^5}{3}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,1{}\mathrm{i}+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,3{}\mathrm{i}-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"- (35*a^5*atanh(tan(c/2 + (d*x)/2)))/d - (139*a^5*tan(c/2 + (d*x)/2)^2 - a^5*tan(c/2 + (d*x)/2)^3*48i - 118*a^5*tan(c/2 + (d*x)/2)^4 + a^5*tan(c/2 + (d*x)/2)^5*27i + 37*a^5*tan(c/2 + (d*x)/2)^6 - (166*a^5)/3 + (a^5*tan(c/2 + (d*x)/2)*55i)/3)/(d*(tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*3i - 3*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*3i + 3*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*1i - tan(c/2 + (d*x)/2)^7 + 1i))","B"
72,1,162,98,5.431148,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^5,x)","\frac{10\,a^5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{8\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,34{}\mathrm{i}-\frac{82\,a^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{3}-a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,38{}\mathrm{i}+\frac{46\,a^5}{3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,3{}\mathrm{i}-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4{}\mathrm{i}+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(10*a^5*atanh(tan(c/2 + (d*x)/2)))/d - (a^5*tan(c/2 + (d*x)/2)^3*34i - (82*a^5*tan(c/2 + (d*x)/2)^2)/3 + 8*a^5*tan(c/2 + (d*x)/2)^4 + (46*a^5)/3 - a^5*tan(c/2 + (d*x)/2)*38i)/(d*(3*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*4i - 4*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*3i + tan(c/2 + (d*x)/2)^5 + 1i))","B"
73,1,104,32,3.448426,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^5,x)","\frac{2\,a^5\,\left(5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}{5\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*a^5*(5*tan(c/2 + (d*x)/2)^4 - 10*tan(c/2 + (d*x)/2)^2 + 1))/(5*d*(5*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*10i - 10*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*5i + tan(c/2 + (d*x)/2)^5 + 1i))","B"
74,1,186,101,4.214578,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^5,x)","-\frac{2\,a^5\,\left(105\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,210{}\mathrm{i}-455\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,350{}\mathrm{i}+273\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,56{}\mathrm{i}-23\right)}{105\,d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,7{}\mathrm{i}+21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,35{}\mathrm{i}-35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,21{}\mathrm{i}+7\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"-(2*a^5*(tan(c/2 + (d*x)/2)*56i + 273*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*350i - 455*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*210i + 105*tan(c/2 + (d*x)/2)^6 - 23))/(105*d*(7*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*21i - 35*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*35i + 21*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*7i - tan(c/2 + (d*x)/2)^7 + 1i))","B"
75,1,79,141,3.936936,"\text{Not used}","int(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^5,x)","-\frac{a^5\,\left(\frac{{\mathrm{e}}^{c\,1{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{16}+\frac{{\mathrm{e}}^{c\,3{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,1{}\mathrm{i}}{12}+\frac{{\mathrm{e}}^{c\,5{}\mathrm{i}+d\,x\,5{}\mathrm{i}}\,3{}\mathrm{i}}{40}+\frac{{\mathrm{e}}^{c\,7{}\mathrm{i}+d\,x\,7{}\mathrm{i}}\,1{}\mathrm{i}}{28}+\frac{{\mathrm{e}}^{c\,9{}\mathrm{i}+d\,x\,9{}\mathrm{i}}\,1{}\mathrm{i}}{144}\right)}{d}","Not used",1,"-(a^5*((exp(c*1i + d*x*1i)*1i)/16 + (exp(c*3i + d*x*3i)*1i)/12 + (exp(c*5i + d*x*5i)*3i)/40 + (exp(c*7i + d*x*7i)*1i)/28 + (exp(c*9i + d*x*9i)*1i)/144))/d","B"
76,1,139,159,4.604855,"\text{Not used}","int(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^5,x)","\frac{a^5\,\left(\frac{5\,\sin\left(3\,c+3\,d\,x\right)}{64}-\frac{\cos\left(5\,c+5\,d\,x\right)\,1{}\mathrm{i}}{16}-\frac{\cos\left(7\,c+7\,d\,x\right)\,15{}\mathrm{i}}{448}-\frac{\cos\left(9\,c+9\,d\,x\right)\,1{}\mathrm{i}}{96}-\frac{\cos\left(11\,c+11\,d\,x\right)\,1{}\mathrm{i}}{704}-\frac{\cos\left(3\,c+3\,d\,x\right)\,5{}\mathrm{i}}{64}+\frac{\sin\left(5\,c+5\,d\,x\right)}{16}+\frac{15\,\sin\left(7\,c+7\,d\,x\right)}{448}+\frac{\sin\left(9\,c+9\,d\,x\right)}{96}+\frac{\sin\left(11\,c+11\,d\,x\right)}{704}+\frac{\sqrt{24}\,\cos\left(c+d\,x-\mathrm{atanh}\left(\frac{7}{5}\right)\,1{}\mathrm{i}\right)}{64}\right)}{d}","Not used",1,"(a^5*((5*sin(3*c + 3*d*x))/64 - (cos(5*c + 5*d*x)*1i)/16 - (cos(7*c + 7*d*x)*15i)/448 - (cos(9*c + 9*d*x)*1i)/96 - (cos(11*c + 11*d*x)*1i)/704 - (cos(3*c + 3*d*x)*5i)/64 + sin(5*c + 5*d*x)/16 + (15*sin(7*c + 7*d*x))/448 + sin(9*c + 9*d*x)/96 + sin(11*c + 11*d*x)/704 + (24^(1/2)*cos(c - atanh(7/5)*1i + d*x))/64))/d","B"
77,1,153,109,4.828042,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^8/cos(c + d*x)^8,x)","\frac{a^8\,\left(\frac{\sin\left(9\,c+9\,d\,x\right)}{12}+\frac{\sin\left(11\,c+11\,d\,x\right)}{52}+\frac{\sin\left(13\,c+13\,d\,x\right)}{364}+\frac{\sin\left(15\,c+15\,d\,x\right)}{5460}+\frac{\cos\left(c+d\,x\right)\,297{}\mathrm{i}}{7168}+\frac{\cos\left(3\,c+3\,d\,x\right)\,33{}\mathrm{i}}{1024}+\frac{\cos\left(5\,c+5\,d\,x\right)\,99{}\mathrm{i}}{5120}+\frac{\cos\left(7\,c+7\,d\,x\right)\,9{}\mathrm{i}}{1024}-\frac{\cos\left(9\,c+9\,d\,x\right)\,247{}\mathrm{i}}{3072}-\frac{\cos\left(11\,c+11\,d\,x\right)\,19{}\mathrm{i}}{1024}-\frac{\cos\left(13\,c+13\,d\,x\right)\,19{}\mathrm{i}}{7168}-\frac{\cos\left(15\,c+15\,d\,x\right)\,19{}\mathrm{i}}{107520}\right)}{d\,{\cos\left(c+d\,x\right)}^{15}}","Not used",1,"(a^8*((cos(c + d*x)*297i)/7168 + (cos(3*c + 3*d*x)*33i)/1024 + (cos(5*c + 5*d*x)*99i)/5120 + (cos(7*c + 7*d*x)*9i)/1024 - (cos(9*c + 9*d*x)*247i)/3072 - (cos(11*c + 11*d*x)*19i)/1024 - (cos(13*c + 13*d*x)*19i)/7168 - (cos(15*c + 15*d*x)*19i)/107520 + sin(9*c + 9*d*x)/12 + sin(11*c + 11*d*x)/52 + sin(13*c + 13*d*x)/364 + sin(15*c + 15*d*x)/5460))/(d*cos(c + d*x)^15)","B"
78,1,190,82,5.344106,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^8/cos(c + d*x)^6,x)","\frac{a^8\,\sin\left(c+d\,x\right)\,\left(2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)\,\left(-184\,{\sin\left(c+d\,x\right)}^2-184\,{\sin\left(2\,c+2\,d\,x\right)}^2+\frac{\sin\left(2\,c+2\,d\,x\right)\,9867{}\mathrm{i}}{256}-184\,{\sin\left(3\,c+3\,d\,x\right)}^2-184\,{\sin\left(4\,c+4\,d\,x\right)}^2+\frac{\sin\left(4\,c+4\,d\,x\right)\,69069{}\mathrm{i}}{1024}-28\,{\sin\left(5\,c+5\,d\,x\right)}^2-2\,{\sin\left(6\,c+6\,d\,x\right)}^2+\frac{\sin\left(6\,c+6\,d\,x\right)\,42757{}\mathrm{i}}{512}+\frac{\sin\left(8\,c+8\,d\,x\right)\,23023{}\mathrm{i}}{256}+\frac{\sin\left(10\,c+10\,d\,x\right)\,7007{}\mathrm{i}}{512}+\frac{\sin\left(12\,c+12\,d\,x\right)\,1001{}\mathrm{i}}{1024}+429\right)}{429\,d\,{\left({\sin\left(c+d\,x\right)}^2-1\right)}^7}","Not used",1,"(a^8*sin(c + d*x)*(2*sin(c/2 + (d*x)/2)^2 - 1)*((sin(2*c + 2*d*x)*9867i)/256 + (sin(4*c + 4*d*x)*69069i)/1024 + (sin(6*c + 6*d*x)*42757i)/512 + (sin(8*c + 8*d*x)*23023i)/256 + (sin(10*c + 10*d*x)*7007i)/512 + (sin(12*c + 12*d*x)*1001i)/1024 - 184*sin(2*c + 2*d*x)^2 - 184*sin(3*c + 3*d*x)^2 - 184*sin(4*c + 4*d*x)^2 - 28*sin(5*c + 5*d*x)^2 - 2*sin(6*c + 6*d*x)^2 - 184*sin(c + d*x)^2 + 429))/(429*d*(sin(c + d*x)^2 - 1)^7)","B"
79,1,107,55,4.223338,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^8/cos(c + d*x)^4,x)","\frac{a^8\,\left(\frac{\sin\left(9\,c+9\,d\,x\right)}{10}+\frac{\sin\left(11\,c+11\,d\,x\right)}{110}+\frac{\cos\left(c+d\,x\right)\,63{}\mathrm{i}}{1280}+\frac{\cos\left(3\,c+3\,d\,x\right)\,9{}\mathrm{i}}{256}+\frac{\cos\left(5\,c+5\,d\,x\right)\,9{}\mathrm{i}}{512}+\frac{\cos\left(7\,c+7\,d\,x\right)\,3{}\mathrm{i}}{512}-\frac{\cos\left(9\,c+9\,d\,x\right)\,253{}\mathrm{i}}{2560}-\frac{\cos\left(11\,c+11\,d\,x\right)\,23{}\mathrm{i}}{2560}\right)}{d\,{\cos\left(c+d\,x\right)}^{11}}","Not used",1,"(a^8*((cos(c + d*x)*63i)/1280 + (cos(3*c + 3*d*x)*9i)/256 + (cos(5*c + 5*d*x)*9i)/512 + (cos(7*c + 7*d*x)*3i)/512 - (cos(9*c + 9*d*x)*253i)/2560 - (cos(11*c + 11*d*x)*23i)/2560 + sin(9*c + 9*d*x)/10 + sin(11*c + 11*d*x)/110))/(d*cos(c + d*x)^11)","B"
80,1,83,27,3.828133,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^8/cos(c + d*x)^2,x)","\frac{a^8\,\left(\sin\left(9\,c+9\,d\,x\right)+\frac{\cos\left(c+d\,x\right)\,63{}\mathrm{i}}{128}+\frac{\cos\left(3\,c+3\,d\,x\right)\,21{}\mathrm{i}}{64}+\frac{\cos\left(5\,c+5\,d\,x\right)\,9{}\mathrm{i}}{64}+\frac{\cos\left(7\,c+7\,d\,x\right)\,9{}\mathrm{i}}{256}-\frac{\cos\left(9\,c+9\,d\,x\right)\,255{}\mathrm{i}}{256}\right)}{9\,d\,{\cos\left(c+d\,x\right)}^9}","Not used",1,"(a^8*((cos(c + d*x)*63i)/128 + (cos(3*c + 3*d*x)*21i)/64 + (cos(5*c + 5*d*x)*9i)/64 + (cos(7*c + 7*d*x)*9i)/256 - (cos(9*c + 9*d*x)*255i)/256 + sin(9*c + 9*d*x)))/(9*d*cos(c + d*x)^9)","B"
81,1,113,200,3.402378,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^8,x)","\frac{33\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^3-127\,a^8\,\mathrm{tan}\left(c+d\,x\right)-\frac{29\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^7}{7}+a^8\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,128{}\mathrm{i}-a^8\,{\mathrm{tan}\left(c+d\,x\right)}^2\,60{}\mathrm{i}+a^8\,{\mathrm{tan}\left(c+d\,x\right)}^4\,16{}\mathrm{i}-\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^6\,4{}\mathrm{i}}{3}}{d}","Not used",1,"(a^8*log(tan(c + d*x) + 1i)*128i - 127*a^8*tan(c + d*x) - a^8*tan(c + d*x)^2*60i + 33*a^8*tan(c + d*x)^3 + a^8*tan(c + d*x)^4*16i - (29*a^8*tan(c + d*x)^5)/5 - (a^8*tan(c + d*x)^6*4i)/3 + (a^8*tan(c + d*x)^7)/7)/d","B"
82,1,102,133,3.354244,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^8,x)","\frac{\frac{64\,a^8}{\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}}+129\,a^8\,\mathrm{tan}\left(c+d\,x\right)-10\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^3+\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}-a^8\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,192{}\mathrm{i}+a^8\,{\mathrm{tan}\left(c+d\,x\right)}^2\,36{}\mathrm{i}-a^8\,{\mathrm{tan}\left(c+d\,x\right)}^4\,2{}\mathrm{i}}{d}","Not used",1,"((64*a^8)/(tan(c + d*x) + 1i) - a^8*log(tan(c + d*x) + 1i)*192i + 129*a^8*tan(c + d*x) + a^8*tan(c + d*x)^2*36i - 10*a^8*tan(c + d*x)^3 - a^8*tan(c + d*x)^4*2i + (a^8*tan(c + d*x)^5)/5)/d","B"
83,1,111,124,3.374824,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^8,x)","\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,d}-\frac{80\,a^8\,\mathrm{tan}\left(c+d\,x\right)+a^8\,64{}\mathrm{i}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,2{}\mathrm{i}-1\right)}-\frac{31\,a^8\,\mathrm{tan}\left(c+d\,x\right)}{d}+\frac{a^8\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,80{}\mathrm{i}}{d}-\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^2\,4{}\mathrm{i}}{d}","Not used",1,"(a^8*log(tan(c + d*x) + 1i)*80i)/d - (31*a^8*tan(c + d*x))/d - (80*a^8*tan(c + d*x) + a^8*64i)/(d*(tan(c + d*x)*2i + tan(c + d*x)^2 - 1)) - (a^8*tan(c + d*x)^2*4i)/d + (a^8*tan(c + d*x)^3)/(3*d)","B"
84,1,103,114,3.405035,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^8,x)","\frac{a^8\,\mathrm{tan}\left(c+d\,x\right)}{d}-\frac{24\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^2+a^8\,\mathrm{tan}\left(c+d\,x\right)\,32{}\mathrm{i}-\frac{40\,a^8}{3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}-\frac{a^8\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,8{}\mathrm{i}}{d}","Not used",1,"(a^8*tan(c + d*x))/d - (a^8*log(tan(c + d*x) + 1i)*8i)/d - (a^8*tan(c + d*x)*32i - (40*a^8)/3 + 24*a^8*tan(c + d*x)^2)/(d*(3*tan(c + d*x) - tan(c + d*x)^2*3i - tan(c + d*x)^3 + 1i))","B"
85,1,66,43,3.481887,"\text{Not used}","int(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^8,x)","-\frac{a^8\,\mathrm{tan}\left(c+d\,x\right)\,\left({\mathrm{tan}\left(c+d\,x\right)}^2-1\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)}","Not used",1,"-(a^8*tan(c + d*x)*(tan(c + d*x)^2 - 1))/(d*(tan(c + d*x)^3*4i - 6*tan(c + d*x)^2 - tan(c + d*x)*4i + tan(c + d*x)^4 + 1))","B"
86,1,82,80,3.482148,"\text{Not used}","int(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^8,x)","\frac{a^8\,\left(-5\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}+2\right)}{15\,d\,\left({\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,5{}\mathrm{i}-10\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,10{}\mathrm{i}+5\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(a^8*(tan(c + d*x)*5i - 5*tan(c + d*x)^2 + 2))/(15*d*(5*tan(c + d*x) - tan(c + d*x)^2*10i - 10*tan(c + d*x)^3 + tan(c + d*x)^4*5i + tan(c + d*x)^5 + 1i))","B"
87,1,82,55,3.395727,"\text{Not used}","int(cos(c + d*x)^12*(a + a*tan(c + d*x)*1i)^8,x)","-\frac{a^8\,\left(3\,\mathrm{tan}\left(c+d\,x\right)-2{}\mathrm{i}\right)}{15\,d\,\left({\mathrm{tan}\left(c+d\,x\right)}^6+{\mathrm{tan}\left(c+d\,x\right)}^5\,6{}\mathrm{i}-15\,{\mathrm{tan}\left(c+d\,x\right)}^4-{\mathrm{tan}\left(c+d\,x\right)}^3\,20{}\mathrm{i}+15\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,6{}\mathrm{i}-1\right)}","Not used",1,"-(a^8*(3*tan(c + d*x) - 2i))/(15*d*(tan(c + d*x)*6i + 15*tan(c + d*x)^2 - tan(c + d*x)^3*20i - 15*tan(c + d*x)^4 + tan(c + d*x)^5*6i + tan(c + d*x)^6 - 1))","B"
88,1,105,27,3.379505,"\text{Not used}","int(cos(c + d*x)^14*(a + a*tan(c + d*x)*1i)^8,x)","-\frac{a^8\,{\cos\left(c+d\,x\right)}^8\,\left(\mathrm{tan}\left(c+d\,x\right)-7{}\mathrm{i}\right)}{7\,d}+\frac{64\,a^8\,{\cos\left(c+d\,x\right)}^{14}\,\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}{7\,d}+\frac{8\,a^8\,{\cos\left(c+d\,x\right)}^{10}\,\left(3\,\mathrm{tan}\left(c+d\,x\right)-7{}\mathrm{i}\right)}{7\,d}-\frac{16\,a^8\,{\cos\left(c+d\,x\right)}^{12}\,\left(5\,\mathrm{tan}\left(c+d\,x\right)-7{}\mathrm{i}\right)}{7\,d}","Not used",1,"(64*a^8*cos(c + d*x)^14*(tan(c + d*x) - 1i))/(7*d) - (a^8*cos(c + d*x)^8*(tan(c + d*x) - 7i))/(7*d) + (8*a^8*cos(c + d*x)^10*(3*tan(c + d*x) - 7i))/(7*d) - (16*a^8*cos(c + d*x)^12*(5*tan(c + d*x) - 7i))/(7*d)","B"
89,1,195,225,4.848878,"\text{Not used}","int(cos(c + d*x)^16*(a + a*tan(c + d*x)*1i)^8,x)","\frac{a^8\,x}{256}-\frac{-\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^7}{256}-\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^6\,1{}\mathrm{i}}{32}+\frac{85\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^5}{768}+\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^4\,11{}\mathrm{i}}{48}-\frac{1193\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3840}-\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^2\,143{}\mathrm{i}}{480}+\frac{5993\,a^8\,\mathrm{tan}\left(c+d\,x\right)}{26880}+\frac{a^8\,16{}\mathrm{i}}{105}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^8+{\mathrm{tan}\left(c+d\,x\right)}^7\,8{}\mathrm{i}-28\,{\mathrm{tan}\left(c+d\,x\right)}^6-{\mathrm{tan}\left(c+d\,x\right)}^5\,56{}\mathrm{i}+70\,{\mathrm{tan}\left(c+d\,x\right)}^4+{\mathrm{tan}\left(c+d\,x\right)}^3\,56{}\mathrm{i}-28\,{\mathrm{tan}\left(c+d\,x\right)}^2-\mathrm{tan}\left(c+d\,x\right)\,8{}\mathrm{i}+1\right)}","Not used",1,"(a^8*x)/256 - ((5993*a^8*tan(c + d*x))/26880 + (a^8*16i)/105 - (a^8*tan(c + d*x)^2*143i)/480 - (1193*a^8*tan(c + d*x)^3)/3840 + (a^8*tan(c + d*x)^4*11i)/48 + (85*a^8*tan(c + d*x)^5)/768 - (a^8*tan(c + d*x)^6*1i)/32 - (a^8*tan(c + d*x)^7)/256)/(d*(tan(c + d*x)^3*56i - 28*tan(c + d*x)^2 - tan(c + d*x)*8i + 70*tan(c + d*x)^4 - tan(c + d*x)^5*56i - 28*tan(c + d*x)^6 + tan(c + d*x)^7*8i + tan(c + d*x)^8 + 1))","B"
90,1,231,279,5.225473,"\text{Not used}","int(cos(c + d*x)^18*(a + a*tan(c + d*x)*1i)^8,x)","\frac{5\,a^8\,x}{512}+\frac{\frac{5\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^9}{512}+\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^8\,5{}\mathrm{i}}{64}-\frac{205\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^7}{768}-\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^6\,95{}\mathrm{i}}{192}+\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^5}{2}+\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^4\,11{}\mathrm{i}}{64}+\frac{393\,a^8\,{\mathrm{tan}\left(c+d\,x\right)}^3}{1792}+\frac{a^8\,{\mathrm{tan}\left(c+d\,x\right)}^2\,163{}\mathrm{i}}{448}-\frac{9019\,a^8\,\mathrm{tan}\left(c+d\,x\right)}{32256}-\frac{a^8\,10{}\mathrm{i}}{63}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^{10}+{\mathrm{tan}\left(c+d\,x\right)}^9\,8{}\mathrm{i}-27\,{\mathrm{tan}\left(c+d\,x\right)}^8-{\mathrm{tan}\left(c+d\,x\right)}^7\,48{}\mathrm{i}+42\,{\mathrm{tan}\left(c+d\,x\right)}^6+42\,{\mathrm{tan}\left(c+d\,x\right)}^4+{\mathrm{tan}\left(c+d\,x\right)}^3\,48{}\mathrm{i}-27\,{\mathrm{tan}\left(c+d\,x\right)}^2-\mathrm{tan}\left(c+d\,x\right)\,8{}\mathrm{i}+1\right)}","Not used",1,"(5*a^8*x)/512 + ((a^8*tan(c + d*x)^2*163i)/448 - (a^8*10i)/63 - (9019*a^8*tan(c + d*x))/32256 + (393*a^8*tan(c + d*x)^3)/1792 + (a^8*tan(c + d*x)^4*11i)/64 + (a^8*tan(c + d*x)^5)/2 - (a^8*tan(c + d*x)^6*95i)/192 - (205*a^8*tan(c + d*x)^7)/768 + (a^8*tan(c + d*x)^8*5i)/64 + (5*a^8*tan(c + d*x)^9)/512)/(d*(tan(c + d*x)^3*48i - 27*tan(c + d*x)^2 - tan(c + d*x)*8i + 42*tan(c + d*x)^4 + 42*tan(c + d*x)^6 - tan(c + d*x)^7*48i - 27*tan(c + d*x)^8 + tan(c + d*x)^9*8i + tan(c + d*x)^10 + 1))","B"
91,1,399,235,8.297899,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^8,x)","\frac{\frac{3019\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}}{8}+\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}\,2891{}\mathrm{i}}{8}-\frac{52795\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}}{24}-\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,45115{}\mathrm{i}}{24}+\frac{22415\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8}{4}+\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,43757{}\mathrm{i}}{12}-\frac{97811\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6}{12}-\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,12977{}\mathrm{i}}{4}+\frac{167237\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{24}+\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,160729{}\mathrm{i}}{120}-\frac{127113\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{40}-\frac{a^8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,25499{}\mathrm{i}}{120}+\frac{8848\,a^8}{15}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{13}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}\,1{}\mathrm{i}-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,6{}\mathrm{i}+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,15{}\mathrm{i}-20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,20{}\mathrm{i}+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,15{}\mathrm{i}-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,6{}\mathrm{i}+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}-\frac{3003\,a^8\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{8\,d}","Not used",1,"((a^8*tan(c/2 + (d*x)/2)^3*160729i)/120 - (127113*a^8*tan(c/2 + (d*x)/2)^2)/40 + (167237*a^8*tan(c/2 + (d*x)/2)^4)/24 - (a^8*tan(c/2 + (d*x)/2)^5*12977i)/4 - (97811*a^8*tan(c/2 + (d*x)/2)^6)/12 + (a^8*tan(c/2 + (d*x)/2)^7*43757i)/12 + (22415*a^8*tan(c/2 + (d*x)/2)^8)/4 - (a^8*tan(c/2 + (d*x)/2)^9*45115i)/24 - (52795*a^8*tan(c/2 + (d*x)/2)^10)/24 + (a^8*tan(c/2 + (d*x)/2)^11*2891i)/8 + (3019*a^8*tan(c/2 + (d*x)/2)^12)/8 + (8848*a^8)/15 - (a^8*tan(c/2 + (d*x)/2)*25499i)/120)/(d*(tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*6i - 6*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*15i + 15*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*20i - 20*tan(c/2 + (d*x)/2)^7 + tan(c/2 + (d*x)/2)^8*15i + 15*tan(c/2 + (d*x)/2)^9 - tan(c/2 + (d*x)/2)^10*6i - 6*tan(c/2 + (d*x)/2)^11 + tan(c/2 + (d*x)/2)^12*1i + tan(c/2 + (d*x)/2)^13 + 1i)) - (3003*a^8*atanh(tan(c/2 + (d*x)/2)))/(8*d)","B"
92,1,343,205,7.817988,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^8,x)","\frac{\frac{1147\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}}{4}+\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,3505{}\mathrm{i}}{4}-\frac{5639\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8}{3}-a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,3585{}\mathrm{i}+\frac{25993\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6}{6}+\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,33847{}\mathrm{i}}{6}-4575\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,12041{}\mathrm{i}}{3}+\frac{27565\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{12}+\frac{a^8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,4293{}\mathrm{i}}{4}-\frac{1360\,a^8}{3}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,3{}\mathrm{i}+7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,13{}\mathrm{i}-18\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,22{}\mathrm{i}+22\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,18{}\mathrm{i}-13\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,7{}\mathrm{i}+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}+\frac{1155\,a^8\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,d}","Not used",1,"((27565*a^8*tan(c/2 + (d*x)/2)^2)/12 - (a^8*tan(c/2 + (d*x)/2)^3*12041i)/3 - 4575*a^8*tan(c/2 + (d*x)/2)^4 + (a^8*tan(c/2 + (d*x)/2)^5*33847i)/6 + (25993*a^8*tan(c/2 + (d*x)/2)^6)/6 - a^8*tan(c/2 + (d*x)/2)^7*3585i - (5639*a^8*tan(c/2 + (d*x)/2)^8)/3 + (a^8*tan(c/2 + (d*x)/2)^9*3505i)/4 + (1147*a^8*tan(c/2 + (d*x)/2)^10)/4 - (1360*a^8)/3 + (a^8*tan(c/2 + (d*x)/2)*4293i)/4)/(d*(3*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*7i - 13*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*18i + 22*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*22i - 18*tan(c/2 + (d*x)/2)^7 + tan(c/2 + (d*x)/2)^8*13i + 7*tan(c/2 + (d*x)/2)^9 - tan(c/2 + (d*x)/2)^10*3i - tan(c/2 + (d*x)/2)^11 + 1i)) + (1155*a^8*atanh(tan(c/2 + (d*x)/2)))/(4*d)","B"
93,1,281,173,7.388755,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^8,x)","-\frac{63\,a^8\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}+\frac{65\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,309{}\mathrm{i}-761\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,1109{}\mathrm{i}+\frac{7351\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{5}+a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,1223{}\mathrm{i}-\frac{4407\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{5}-a^8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,431{}\mathrm{i}+\frac{496\,a^8}{5}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,5{}\mathrm{i}-12\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,20{}\mathrm{i}+26\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,26{}\mathrm{i}-20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,12{}\mathrm{i}+5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(a^8*tan(c/2 + (d*x)/2)^3*1223i - (4407*a^8*tan(c/2 + (d*x)/2)^2)/5 + (7351*a^8*tan(c/2 + (d*x)/2)^4)/5 - a^8*tan(c/2 + (d*x)/2)^5*1109i - 761*a^8*tan(c/2 + (d*x)/2)^6 + a^8*tan(c/2 + (d*x)/2)^7*309i + 65*a^8*tan(c/2 + (d*x)/2)^8 + (496*a^8)/5 - a^8*tan(c/2 + (d*x)/2)*431i)/(d*(5*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*12i - 20*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*26i + 26*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*20i - 12*tan(c/2 + (d*x)/2)^7 + tan(c/2 + (d*x)/2)^8*5i + tan(c/2 + (d*x)/2)^9 + 1i)) - (63*a^8*atanh(tan(c/2 + (d*x)/2)))/d","B"
94,1,207,152,6.694388,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^8,x)","\frac{2\,a^8\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}+\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,16{}\mathrm{i}-\frac{80\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{3}-\frac{a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,224{}\mathrm{i}}{3}+\frac{224\,a^8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{5}+\frac{a^8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,304{}\mathrm{i}}{15}-\frac{304\,a^8}{105}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,7{}\mathrm{i}+21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,35{}\mathrm{i}-35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,21{}\mathrm{i}+7\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*a^8*atanh(tan(c/2 + (d*x)/2)))/d + ((224*a^8*tan(c/2 + (d*x)/2)^2)/5 - (a^8*tan(c/2 + (d*x)/2)^3*224i)/3 - (80*a^8*tan(c/2 + (d*x)/2)^4)/3 + a^8*tan(c/2 + (d*x)/2)^5*16i - (304*a^8)/105 + (a^8*tan(c/2 + (d*x)/2)*304i)/15)/(d*(7*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*21i - 35*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*35i + 21*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*7i - tan(c/2 + (d*x)/2)^7 + 1i))","B"
95,1,37,66,3.622374,"\text{Not used}","int(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^8,x)","-\frac{2\,a^8\,\left(\frac{{\mathrm{e}}^{c\,7{}\mathrm{i}+d\,x\,7{}\mathrm{i}}\,9{}\mathrm{i}}{4}+\frac{{\mathrm{e}}^{c\,9{}\mathrm{i}+d\,x\,9{}\mathrm{i}}\,7{}\mathrm{i}}{4}\right)}{63\,d}","Not used",1,"-(2*a^8*((exp(c*7i + d*x*7i)*9i)/4 + (exp(c*9i + d*x*9i)*7i)/4))/(63*d)","B"
96,1,65,136,3.802453,"\text{Not used}","int(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^8,x)","-\frac{a^8\,\left(\frac{{\mathrm{e}}^{c\,5{}\mathrm{i}+d\,x\,5{}\mathrm{i}}\,1{}\mathrm{i}}{40}+\frac{{\mathrm{e}}^{c\,7{}\mathrm{i}+d\,x\,7{}\mathrm{i}}\,3{}\mathrm{i}}{56}+\frac{{\mathrm{e}}^{c\,9{}\mathrm{i}+d\,x\,9{}\mathrm{i}}\,1{}\mathrm{i}}{24}+\frac{{\mathrm{e}}^{c\,11{}\mathrm{i}+d\,x\,11{}\mathrm{i}}\,1{}\mathrm{i}}{88}\right)}{d}","Not used",1,"-(a^8*((exp(c*5i + d*x*5i)*1i)/40 + (exp(c*7i + d*x*7i)*3i)/56 + (exp(c*9i + d*x*9i)*1i)/24 + (exp(c*11i + d*x*11i)*1i)/88))/d","B"
97,1,93,211,4.079929,"\text{Not used}","int(cos(c + d*x)^13*(a + a*tan(c + d*x)*1i)^8,x)","-\frac{a^8\,\left(\frac{{\mathrm{e}}^{c\,3{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,1{}\mathrm{i}}{96}+\frac{{\mathrm{e}}^{c\,5{}\mathrm{i}+d\,x\,5{}\mathrm{i}}\,1{}\mathrm{i}}{32}+\frac{{\mathrm{e}}^{c\,7{}\mathrm{i}+d\,x\,7{}\mathrm{i}}\,5{}\mathrm{i}}{112}+\frac{{\mathrm{e}}^{c\,9{}\mathrm{i}+d\,x\,9{}\mathrm{i}}\,5{}\mathrm{i}}{144}+\frac{{\mathrm{e}}^{c\,11{}\mathrm{i}+d\,x\,11{}\mathrm{i}}\,5{}\mathrm{i}}{352}+\frac{{\mathrm{e}}^{c\,13{}\mathrm{i}+d\,x\,13{}\mathrm{i}}\,1{}\mathrm{i}}{416}\right)}{d}","Not used",1,"-(a^8*((exp(c*3i + d*x*3i)*1i)/96 + (exp(c*5i + d*x*5i)*1i)/32 + (exp(c*7i + d*x*7i)*5i)/112 + (exp(c*9i + d*x*9i)*5i)/144 + (exp(c*11i + d*x*11i)*5i)/352 + (exp(c*13i + d*x*13i)*1i)/416))/d","B"
98,1,222,212,5.259392,"\text{Not used}","int(cos(c + d*x)^15*(a + a*tan(c + d*x)*1i)^8,x)","\frac{2\,a^8\,\left(2\,{\sin\left(\frac{c}{4}+\frac{d\,x}{4}\right)}^2-1\right)\,\left(-\frac{44779\,{\sin\left(c+d\,x\right)}^2}{32}+\frac{\sin\left(c+d\,x\right)\,32175{}\mathrm{i}}{128}-\frac{26075\,{\sin\left(2\,c+2\,d\,x\right)}^2}{16}-\frac{\sin\left(2\,c+2\,d\,x\right)\,3575{}\mathrm{i}}{8}+\frac{114583\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{64}-\frac{57925\,{\sin\left(3\,c+3\,d\,x\right)}^2}{32}+\frac{\sin\left(3\,c+3\,d\,x\right)\,84227{}\mathrm{i}}{128}+\frac{116585\,{\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}^2}{64}+\frac{119315\,{\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}^2}{64}+\frac{122285\,{\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}^2}{64}-\sin\left(4\,c+4\,d\,x\right)\,754{}\mathrm{i}+\frac{\sin\left(5\,c+5\,d\,x\right)\,111527{}\mathrm{i}}{128}-\frac{\sin\left(6\,c+6\,d\,x\right)\,7187{}\mathrm{i}}{8}+\frac{\sin\left(7\,c+7\,d\,x\right)\,121427{}\mathrm{i}}{128}-952\right)}{6435\,d\,\left(-{\sin\left(\frac{15\,c}{4}+\frac{15\,d\,x}{4}\right)}^2\,2{}\mathrm{i}+\sin\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*a^8*(2*sin(c/4 + (d*x)/4)^2 - 1)*((sin(c + d*x)*32175i)/128 - (sin(2*c + 2*d*x)*3575i)/8 + (sin(3*c + 3*d*x)*84227i)/128 - sin(4*c + 4*d*x)*754i + (sin(5*c + 5*d*x)*111527i)/128 - (sin(6*c + 6*d*x)*7187i)/8 + (sin(7*c + 7*d*x)*121427i)/128 - (26075*sin(2*c + 2*d*x)^2)/16 + (114583*sin(c/2 + (d*x)/2)^2)/64 - (57925*sin(3*c + 3*d*x)^2)/32 + (116585*sin((3*c)/2 + (3*d*x)/2)^2)/64 + (119315*sin((5*c)/2 + (5*d*x)/2)^2)/64 + (122285*sin((7*c)/2 + (7*d*x)/2)^2)/64 - (44779*sin(c + d*x)^2)/32 - 952))/(6435*d*(sin((15*c)/2 + (15*d*x)/2) - sin((15*c)/4 + (15*d*x)/4)^2*2i + 1i))","B"
99,1,92,107,3.530062,"\text{Not used}","int(1/(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)),x)","\frac{{\cos\left(c+d\,x\right)}^8\,35{}\mathrm{i}+128\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^7+64\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^5+48\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^3+40\,\sin\left(c+d\,x\right)\,\cos\left(c+d\,x\right)-35{}\mathrm{i}}{280\,a\,d\,{\cos\left(c+d\,x\right)}^8}","Not used",1,"(40*cos(c + d*x)*sin(c + d*x) + 48*cos(c + d*x)^3*sin(c + d*x) + 64*cos(c + d*x)^5*sin(c + d*x) + 128*cos(c + d*x)^7*sin(c + d*x) + cos(c + d*x)^8*35i - 35i)/(280*a*d*cos(c + d*x)^8)","B"
100,1,114,80,3.320215,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)),x)","\frac{\sin\left(c+d\,x\right)\,\left(30\,{\cos\left(c+d\,x\right)}^5-{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)\,15{}\mathrm{i}+20\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^2-{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^3\,15{}\mathrm{i}+6\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^4-{\sin\left(c+d\,x\right)}^5\,5{}\mathrm{i}\right)}{30\,a\,d\,{\cos\left(c+d\,x\right)}^6}","Not used",1,"(sin(c + d*x)*(6*cos(c + d*x)*sin(c + d*x)^4 - cos(c + d*x)^4*sin(c + d*x)*15i + 30*cos(c + d*x)^5 - sin(c + d*x)^5*5i - cos(c + d*x)^2*sin(c + d*x)^3*15i + 20*cos(c + d*x)^3*sin(c + d*x)^2))/(30*a*d*cos(c + d*x)^6)","B"
101,1,77,55,3.341952,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)),x)","\frac{\sin\left(c+d\,x\right)\,\left(12\,{\cos\left(c+d\,x\right)}^3-{\cos\left(c+d\,x\right)}^2\,\sin\left(c+d\,x\right)\,6{}\mathrm{i}+4\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^2-{\sin\left(c+d\,x\right)}^3\,3{}\mathrm{i}\right)}{12\,a\,d\,{\cos\left(c+d\,x\right)}^4}","Not used",1,"(sin(c + d*x)*(4*cos(c + d*x)*sin(c + d*x)^2 - cos(c + d*x)^2*sin(c + d*x)*6i + 12*cos(c + d*x)^3 - sin(c + d*x)^3*3i))/(12*a*d*cos(c + d*x)^4)","B"
102,1,25,34,3.331233,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)),x)","-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(-2+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{2\,a\,d}","Not used",1,"-(tan(c + d*x)*(tan(c + d*x)*1i - 2))/(2*a*d)","B"
103,1,19,23,3.354314,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{a\,d}","Not used",1,"-(log(tan(c + d*x) - 1i)*1i)/(a*d)","B"
104,1,29,33,3.362841,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i),x)","\frac{x}{2\,a}+\frac{1{}\mathrm{i}}{2\,a\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"x/(2*a) + 1i/(2*a*d*(tan(c + d*x)*1i + 1))","B"
105,1,60,82,3.445047,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i),x)","\frac{3\,x}{8\,a}-\frac{\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{8}-\frac{\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}}{8}+\frac{1}{4}}{a\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2\,\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(3*x)/(8*a) - ((3*tan(c + d*x)^2)/8 - (tan(c + d*x)*3i)/8 + 1/4)/(a*d*(tan(c + d*x)*1i + 1)^2*(tan(c + d*x) + 1i))","B"
106,1,123,134,3.721810,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i),x)","\frac{5\,x}{16\,a}+\frac{\frac{25\,\mathrm{tan}\left(c+d\,x\right)}{48\,a}+\frac{1{}\mathrm{i}}{6\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,25{}\mathrm{i}}{48\,a}+\frac{5\,{\mathrm{tan}\left(c+d\,x\right)}^3}{16\,a}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,5{}\mathrm{i}}{16\,a}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^4+{\mathrm{tan}\left(c+d\,x\right)}^3\,2{}\mathrm{i}+2\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}+1\right)}","Not used",1,"(5*x)/(16*a) + ((25*tan(c + d*x))/(48*a) + 1i/(6*a) + (tan(c + d*x)^2*25i)/(48*a) + (5*tan(c + d*x)^3)/(16*a) + (tan(c + d*x)^4*5i)/(16*a))/(d*(tan(c + d*x)*1i + 2*tan(c + d*x)^2 + tan(c + d*x)^3*2i + tan(c + d*x)^4 + tan(c + d*x)^5*1i + 1))","B"
107,1,193,84,7.005250,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)),x)","\frac{3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,a\,d}+\frac{\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2\,a}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{2\,a}+\frac{5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{4\,a}-\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4\,a}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,4{}\mathrm{i}}{a}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,2{}\mathrm{i}}{a}+\frac{2{}\mathrm{i}}{5\,a}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(3*atanh(tan(c/2 + (d*x)/2)))/(4*a*d) + (tan(c/2 + (d*x)/2)^3/(2*a) + (tan(c/2 + (d*x)/2)^4*4i)/a - tan(c/2 + (d*x)/2)^7/(2*a) + (tan(c/2 + (d*x)/2)^8*2i)/a + (5*tan(c/2 + (d*x)/2)^9)/(4*a) + 2i/(5*a) - (5*tan(c/2 + (d*x)/2))/(4*a))/(d*(5*tan(c/2 + (d*x)/2)^2 - 10*tan(c/2 + (d*x)/2)^4 + 10*tan(c/2 + (d*x)/2)^6 - 5*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^10 - 1))","B"
108,1,116,60,5.376585,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)),x)","\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a\,d}+\frac{\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{a}-\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,2{}\mathrm{i}}{a}+\frac{2{}\mathrm{i}}{3\,a}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"atanh(tan(c/2 + (d*x)/2))/(a*d) + ((tan(c/2 + (d*x)/2)^4*2i)/a + tan(c/2 + (d*x)/2)^5/a + 2i/(3*a) - tan(c/2 + (d*x)/2)/a)/(d*(3*tan(c/2 + (d*x)/2)^2 - 3*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 1))","B"
109,1,43,31,3.441218,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)),x)","\frac{2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a\,d}+\frac{2{}\mathrm{i}}{a\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(2*atanh(tan(c/2 + (d*x)/2)))/(a*d) + 2i/(a*d*(tan(c/2 + (d*x)/2)^2 - 1))","B"
110,1,25,28,3.350880,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)),x)","\frac{2{}\mathrm{i}}{a\,d\,\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}","Not used",1,"2i/(a*d*(tan(c/2 + (d*x)/2)*1i + 1))","B"
111,1,78,47,3.548525,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i),x)","\frac{\left(-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)\,2{}\mathrm{i}}{3\,a\,d\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)\,{\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"((tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^2*3i - 3*tan(c/2 + (d*x)/2)^3 + 1i)*2i)/(3*a*d*(tan(c/2 + (d*x)/2) + 1i)*(tan(c/2 + (d*x)/2)*1i + 1)^3)","B"
112,1,134,67,4.788760,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i),x)","-\frac{\left(-15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,15{}\mathrm{i}-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,25{}\mathrm{i}-13\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,21{}\mathrm{i}+9\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+3{}\mathrm{i}\right)\,2{}\mathrm{i}}{15\,a\,d\,{\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}^3\,{\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^5}","Not used",1,"-((9*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^2*21i - 13*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*25i - 5*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6*15i - 15*tan(c/2 + (d*x)/2)^7 + 3i)*2i)/(15*a*d*(tan(c/2 + (d*x)/2) + 1i)^3*(tan(c/2 + (d*x)/2)*1i + 1)^5)","B"
113,1,188,85,7.097308,"\text{Not used}","int(cos(c + d*x)^5/(a + a*tan(c + d*x)*1i),x)","\frac{\left(-35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,35{}\mathrm{i}-35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,105{}\mathrm{i}-126\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,182{}\mathrm{i}+26\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,130{}\mathrm{i}-15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,55{}\mathrm{i}+25\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+5{}\mathrm{i}\right)\,2{}\mathrm{i}}{35\,a\,d\,{\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}^5\,{\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^7}","Not used",1,"((25*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^2*55i - 15*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*130i + 26*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6*182i - 126*tan(c/2 + (d*x)/2)^7 + tan(c/2 + (d*x)/2)^8*105i - 35*tan(c/2 + (d*x)/2)^9 + tan(c/2 + (d*x)/2)^10*35i - 35*tan(c/2 + (d*x)/2)^11 + 5i)*2i)/(35*a*d*(tan(c/2 + (d*x)/2) + 1i)^5*(tan(c/2 + (d*x)/2)*1i + 1)^7)","B"
114,1,93,82,3.460691,"\text{Not used}","int(1/(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^2),x)","\frac{{\cos\left(c+d\,x\right)}^7\,35{}\mathrm{i}+64\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^6+32\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^4+24\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^2-\cos\left(c+d\,x\right)\,35{}\mathrm{i}-15\,\sin\left(c+d\,x\right)}{105\,a^2\,d\,{\cos\left(c+d\,x\right)}^7}","Not used",1,"(24*cos(c + d*x)^2*sin(c + d*x) - 15*sin(c + d*x) - cos(c + d*x)*35i + 32*cos(c + d*x)^4*sin(c + d*x) + 64*cos(c + d*x)^6*sin(c + d*x) + cos(c + d*x)^7*35i)/(105*a^2*d*cos(c + d*x)^7)","B"
115,1,77,55,3.360069,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^2),x)","-\frac{\sin\left(c+d\,x\right)\,\left(-10\,{\cos\left(c+d\,x\right)}^4+{\cos\left(c+d\,x\right)}^3\,\sin\left(c+d\,x\right)\,10{}\mathrm{i}+\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^3\,5{}\mathrm{i}+2\,{\sin\left(c+d\,x\right)}^4\right)}{10\,a^2\,d\,{\cos\left(c+d\,x\right)}^5}","Not used",1,"-(sin(c + d*x)*(cos(c + d*x)*sin(c + d*x)^3*5i + cos(c + d*x)^3*sin(c + d*x)*10i - 10*cos(c + d*x)^4 + 2*sin(c + d*x)^4))/(10*a^2*d*cos(c + d*x)^5)","B"
116,1,33,27,3.340566,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^2),x)","-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left({\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}-3\right)}{3\,a^2\,d}","Not used",1,"-(tan(c + d*x)*(tan(c + d*x)*3i + tan(c + d*x)^2 - 3))/(3*a^2*d)","B"
117,1,28,38,3.349886,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^2),x)","-\frac{\mathrm{tan}\left(c+d\,x\right)+\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,2{}\mathrm{i}}{a^2\,d}","Not used",1,"-(log(tan(c + d*x) - 1i)*2i + tan(c + d*x))/(a^2*d)","B"
118,1,22,26,3.335442,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^2),x)","\frac{1{}\mathrm{i}}{a^2\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"1i/(a^2*d*(tan(c + d*x)*1i + 1))","B"
119,1,39,61,3.401137,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^2,x)","\frac{x}{4\,a^2}-\frac{\frac{\mathrm{tan}\left(c+d\,x\right)}{4}-\frac{1}{2}{}\mathrm{i}}{a^2\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}","Not used",1,"x/(4*a^2) - (tan(c + d*x)/4 - 1i/2)/(a^2*d*(tan(c + d*x)*1i + 1)^2)","B"
120,1,71,114,3.467160,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^2,x)","\frac{x}{4\,a^2}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,1{}\mathrm{i}}{4}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2}-\frac{\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{12}+\frac{1}{3}}{a^2\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3\,\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"x/(4*a^2) - (tan(c + d*x)^2/2 - (tan(c + d*x)*1i)/12 + (tan(c + d*x)^3*1i)/4 + 1/3)/(a^2*d*(tan(c + d*x)*1i + 1)^3*(tan(c + d*x) + 1i))","B"
121,1,149,165,4.182564,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^2,x)","\frac{15\,x}{64\,a^2}+\frac{\frac{1}{4\,a^2}-\frac{\mathrm{tan}\left(c+d\,x\right)\,17{}\mathrm{i}}{64\,a^2}+\frac{25\,{\mathrm{tan}\left(c+d\,x\right)}^2}{32\,a^2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,5{}\mathrm{i}}{32\,a^2}+\frac{15\,{\mathrm{tan}\left(c+d\,x\right)}^4}{32\,a^2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,15{}\mathrm{i}}{64\,a^2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^6\,1{}\mathrm{i}+2\,{\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}+4\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"(15*x)/(64*a^2) + (1/(4*a^2) - (tan(c + d*x)*17i)/(64*a^2) + (25*tan(c + d*x)^2)/(32*a^2) + (tan(c + d*x)^3*5i)/(32*a^2) + (15*tan(c + d*x)^4)/(32*a^2) + (tan(c + d*x)^5*15i)/(64*a^2))/(d*(2*tan(c + d*x) - tan(c + d*x)^2*1i + 4*tan(c + d*x)^3 + tan(c + d*x)^4*1i + 2*tan(c + d*x)^5 + tan(c + d*x)^6*1i - 1i))","B"
122,1,191,124,6.309386,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^2),x)","\frac{7\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{8\,a^2\,d}-\frac{-\frac{9\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}}{8}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,4{}\mathrm{i}+\frac{89\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{24}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,4{}\mathrm{i}+\frac{11\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{4}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,8{}\mathrm{i}+\frac{11\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{4}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,8{}\mathrm{i}+\frac{89\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{24}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4{}\mathrm{i}}{5}-\frac{9\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{8}+\frac{4}{5}{}\mathrm{i}}{a^2\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}^6}","Not used",1,"(7*atanh(tan(c/2 + (d*x)/2)))/(8*a^2*d) - ((89*tan(c/2 + (d*x)/2)^3)/24 - (tan(c/2 + (d*x)/2)^2*4i)/5 - (9*tan(c/2 + (d*x)/2))/8 + tan(c/2 + (d*x)/2)^4*8i + (11*tan(c/2 + (d*x)/2)^5)/4 - tan(c/2 + (d*x)/2)^6*8i + (11*tan(c/2 + (d*x)/2)^7)/4 + tan(c/2 + (d*x)/2)^8*4i + (89*tan(c/2 + (d*x)/2)^9)/24 - tan(c/2 + (d*x)/2)^10*4i - (9*tan(c/2 + (d*x)/2)^11)/8 + 4i/5)/(a^2*d*(tan(c/2 + (d*x)/2)^2 - 1)^6)","B"
123,1,136,100,5.924205,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^2),x)","\frac{5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,a^2\,d}+\frac{\frac{3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{4}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,4{}\mathrm{i}-\frac{11\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{4}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,4{}\mathrm{i}-\frac{11\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4{}\mathrm{i}}{3}+\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{4}{3}{}\mathrm{i}}{a^2\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}^4}","Not used",1,"(5*atanh(tan(c/2 + (d*x)/2)))/(4*a^2*d) + ((3*tan(c/2 + (d*x)/2))/4 + (tan(c/2 + (d*x)/2)^2*4i)/3 - (11*tan(c/2 + (d*x)/2)^3)/4 - tan(c/2 + (d*x)/2)^4*4i - (11*tan(c/2 + (d*x)/2)^5)/4 + tan(c/2 + (d*x)/2)^6*4i + (3*tan(c/2 + (d*x)/2)^7)/4 - 4i/3)/(a^2*d*(tan(c/2 + (d*x)/2)^2 - 1)^4)","B"
124,1,104,74,3.927234,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^2),x)","\frac{3\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^2\,d}-\frac{\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{a^2}+\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a^2}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4{}\mathrm{i}}{a^2}+\frac{4{}\mathrm{i}}{a^2}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(3*atanh(tan(c/2 + (d*x)/2)))/(a^2*d) - (tan(c/2 + (d*x)/2)^3/a^2 - (tan(c/2 + (d*x)/2)^2*4i)/a^2 + 4i/a^2 + tan(c/2 + (d*x)/2)/a^2)/(d*(tan(c/2 + (d*x)/2)^4 - 2*tan(c/2 + (d*x)/2)^2 + 1))","B"
125,1,44,48,3.497710,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^2),x)","-\frac{2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^2\,d}+\frac{4{}\mathrm{i}}{a^2\,d\,\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}","Not used",1,"4i/(a^2*d*(tan(c/2 + (d*x)/2)*1i + 1)) - (2*atanh(tan(c/2 + (d*x)/2)))/(a^2*d)","B"
126,1,79,65,3.507109,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^2),x)","-\frac{2\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-2{}\mathrm{i}\right)}{3\,a^2\,d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,3{}\mathrm{i}+1\right)}","Not used",1,"-(2*(3*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^2*3i - 2i))/(3*a^2*d*(tan(c/2 + (d*x)/2)*3i - 3*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*1i + 1))","B"
127,1,90,71,3.892307,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^2,x)","-\frac{2\,\left(-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,10{}\mathrm{i}+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-2{}\mathrm{i}\right)}{5\,a^2\,d\,{\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-\mathrm{i}\right)}^5\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}","Not used",1,"-(2*(3*tan(c/2 + (d*x)/2) + 10*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*10i - 5*tan(c/2 + (d*x)/2)^5 - 2i))/(5*a^2*d*(tan(c/2 + (d*x)/2) - 1i)^5*(tan(c/2 + (d*x)/2) + 1i))","B"
128,1,161,89,6.873037,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\left(-21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,42{}\mathrm{i}+28\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,56{}\mathrm{i}+42\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,28{}\mathrm{i}+76\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,24{}\mathrm{i}+3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-6{}\mathrm{i}\right)\,2{}\mathrm{i}}{21\,a^2\,d\,{\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}^3\,{\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^7}","Not used",1,"((3*tan(c/2 + (d*x)/2) - tan(c/2 + (d*x)/2)^2*24i + 76*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*28i + 42*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6*56i + 28*tan(c/2 + (d*x)/2)^7 + tan(c/2 + (d*x)/2)^8*42i - 21*tan(c/2 + (d*x)/2)^9 - 6i)*2i)/(21*a^2*d*(tan(c/2 + (d*x)/2) + 1i)^3*(tan(c/2 + (d*x)/2)*1i + 1)^7)","B"
129,1,216,107,5.650298,"\text{Not used}","int(cos(c + d*x)^5/(a + a*tan(c + d*x)*1i)^2,x)","\frac{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{191\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{16}-\frac{1289\,\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}{64}+\frac{649\,\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}{64}-\frac{41\,\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}{32}+\frac{41\,\sin\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)}{32}-\frac{7\,\sin\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)}{64}+\frac{7\,\sin\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)}{64}+\frac{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)\,525{}\mathrm{i}}{32}-\frac{\cos\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)\,205{}\mathrm{i}}{32}+\frac{\cos\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)\,1{}\mathrm{i}}{2}-\frac{\cos\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)\,1{}\mathrm{i}}{2}+\frac{\cos\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)\,1{}\mathrm{i}}{32}-\frac{\cos\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)\,1{}\mathrm{i}}{32}\right)\,2{}\mathrm{i}}{45\,a^2\,d\,{\left(\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^9\,{\left(\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^5}","Not used",1,"(cos(c/2 + (d*x)/2)*((cos((3*c)/2 + (3*d*x)/2)*525i)/32 - (cos((5*c)/2 + (5*d*x)/2)*205i)/32 + (cos((7*c)/2 + (7*d*x)/2)*1i)/2 - (cos((9*c)/2 + (9*d*x)/2)*1i)/2 + (cos((11*c)/2 + (11*d*x)/2)*1i)/32 - (cos((13*c)/2 + (13*d*x)/2)*1i)/32 + (191*sin(c/2 + (d*x)/2))/16 - (1289*sin((3*c)/2 + (3*d*x)/2))/64 + (649*sin((5*c)/2 + (5*d*x)/2))/64 - (41*sin((7*c)/2 + (7*d*x)/2))/32 + (41*sin((9*c)/2 + (9*d*x)/2))/32 - (7*sin((11*c)/2 + (11*d*x)/2))/64 + (7*sin((13*c)/2 + (13*d*x)/2))/64)*2i)/(45*a^2*d*(cos(c/2 + (d*x)/2) + sin(c/2 + (d*x)/2)*1i)^9*(cos(c/2 + (d*x)/2)*1i + sin(c/2 + (d*x)/2))^5)","B"
130,1,119,109,3.604767,"\text{Not used}","int(1/(cos(c + d*x)^14*(a + a*tan(c + d*x)*1i)^3),x)","\frac{{\cos\left(c+d\,x\right)}^{10}\,84{}\mathrm{i}+128\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^9+64\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^7+48\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^5+40\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^3-{\cos\left(c+d\,x\right)}^2\,105{}\mathrm{i}-70\,\sin\left(c+d\,x\right)\,\cos\left(c+d\,x\right)+21{}\mathrm{i}}{210\,a^3\,d\,{\cos\left(c+d\,x\right)}^{10}}","Not used",1,"(40*cos(c + d*x)^3*sin(c + d*x) - 70*cos(c + d*x)*sin(c + d*x) + 48*cos(c + d*x)^5*sin(c + d*x) + 64*cos(c + d*x)^7*sin(c + d*x) + 128*cos(c + d*x)^9*sin(c + d*x) - cos(c + d*x)^2*105i + cos(c + d*x)^10*84i + 21i)/(210*a^3*d*cos(c + d*x)^10)","B"
131,1,103,82,3.486968,"\text{Not used}","int(1/(cos(c + d*x)^12*(a + a*tan(c + d*x)*1i)^3),x)","\frac{{\cos\left(c+d\,x\right)}^8\,91{}\mathrm{i}+128\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^7+64\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^5+48\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^3-{\cos\left(c+d\,x\right)}^2\,112{}\mathrm{i}-72\,\sin\left(c+d\,x\right)\,\cos\left(c+d\,x\right)+21{}\mathrm{i}}{168\,a^3\,d\,{\cos\left(c+d\,x\right)}^8}","Not used",1,"(48*cos(c + d*x)^3*sin(c + d*x) - 72*cos(c + d*x)*sin(c + d*x) + 64*cos(c + d*x)^5*sin(c + d*x) + 128*cos(c + d*x)^7*sin(c + d*x) - cos(c + d*x)^2*112i + cos(c + d*x)^8*91i + 21i)/(168*a^3*d*cos(c + d*x)^8)","B"
132,1,114,55,3.342056,"\text{Not used}","int(1/(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^3),x)","-\frac{\sin\left(c+d\,x\right)\,\left(-30\,{\cos\left(c+d\,x\right)}^5+{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)\,45{}\mathrm{i}+20\,{\cos\left(c+d\,x\right)}^3\,{\sin\left(c+d\,x\right)}^2+{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^3\,15{}\mathrm{i}+18\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^4-{\sin\left(c+d\,x\right)}^5\,5{}\mathrm{i}\right)}{30\,a^3\,d\,{\cos\left(c+d\,x\right)}^6}","Not used",1,"-(sin(c + d*x)*(18*cos(c + d*x)*sin(c + d*x)^4 + cos(c + d*x)^4*sin(c + d*x)*45i - 30*cos(c + d*x)^5 - sin(c + d*x)^5*5i + cos(c + d*x)^2*sin(c + d*x)^3*15i + 20*cos(c + d*x)^3*sin(c + d*x)^2))/(30*a^3*d*cos(c + d*x)^6)","B"
133,1,77,27,3.340124,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^3),x)","-\frac{\sin\left(c+d\,x\right)\,\left(-4\,{\cos\left(c+d\,x\right)}^3+{\cos\left(c+d\,x\right)}^2\,\sin\left(c+d\,x\right)\,6{}\mathrm{i}+4\,\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^2-{\sin\left(c+d\,x\right)}^3\,1{}\mathrm{i}\right)}{4\,a^3\,d\,{\cos\left(c+d\,x\right)}^4}","Not used",1,"-(sin(c + d*x)*(4*cos(c + d*x)*sin(c + d*x)^2 + cos(c + d*x)^2*sin(c + d*x)*6i - 4*cos(c + d*x)^3 - sin(c + d*x)^3*1i))/(4*a^3*d*cos(c + d*x)^4)","B"
134,1,41,58,3.370907,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^3),x)","-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,8{}\mathrm{i}+6\,\mathrm{tan}\left(c+d\,x\right)-{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{2\,a^3\,d}","Not used",1,"-(log(tan(c + d*x) - 1i)*8i + 6*tan(c + d*x) - tan(c + d*x)^2*1i)/(2*a^3*d)","B"
135,1,42,50,3.406693,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^3),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,1{}\mathrm{i}}{a^3\,d}+\frac{2{}\mathrm{i}}{a^3\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*1i)/(a^3*d) + 2i/(a^3*d*(tan(c + d*x)*1i + 1))","B"
136,1,20,27,3.350259,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^3),x)","-\frac{1{}\mathrm{i}}{2\,a^3\,d\,{\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}^2}","Not used",1,"-1i/(2*a^3*d*(tan(c + d*x) - 1i)^2)","B"
137,1,50,88,3.489829,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^3,x)","\frac{x}{8\,a^3}-\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{8}+\frac{3\,\mathrm{tan}\left(c+d\,x\right)}{8}-\frac{5}{12}{}\mathrm{i}}{a^3\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"x/(8*a^3) - ((3*tan(c + d*x))/8 + (tan(c + d*x)^2*1i)/8 - 5i/12)/(a^3*d*(tan(c + d*x)*1i + 1)^3)","B"
138,1,124,141,3.678149,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^3,x)","\frac{5\,x}{32\,a^3}+\frac{\frac{1}{3\,a^3}+\frac{35\,{\mathrm{tan}\left(c+d\,x\right)}^2}{96\,a^3}-\frac{5\,{\mathrm{tan}\left(c+d\,x\right)}^4}{32\,a^3}+\frac{\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}}{32\,a^3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,15{}\mathrm{i}}{32\,a^3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,3{}\mathrm{i}+2\,{\mathrm{tan}\left(c+d\,x\right)}^3+{\mathrm{tan}\left(c+d\,x\right)}^2\,2{}\mathrm{i}+3\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"(5*x)/(32*a^3) + ((tan(c + d*x)*5i)/(32*a^3) + 1/(3*a^3) + (35*tan(c + d*x)^2)/(96*a^3) + (tan(c + d*x)^3*15i)/(32*a^3) - (5*tan(c + d*x)^4)/(32*a^3))/(d*(3*tan(c + d*x) + tan(c + d*x)^2*2i + 2*tan(c + d*x)^3 + tan(c + d*x)^4*3i - tan(c + d*x)^5 - 1i))","B"
139,1,173,195,5.040433,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^3,x)","\frac{21\,x}{128\,a^3}+\frac{\frac{7\,\mathrm{tan}\left(c+d\,x\right)}{640\,a^3}+\frac{11{}\mathrm{i}}{40\,a^3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,469{}\mathrm{i}}{640\,a^3}-\frac{21\,{\mathrm{tan}\left(c+d\,x\right)}^3}{32\,a^3}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,7{}\mathrm{i}}{32\,a^3}-\frac{63\,{\mathrm{tan}\left(c+d\,x\right)}^5}{128\,a^3}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^6\,21{}\mathrm{i}}{128\,a^3}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^7\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(c+d\,x\right)}^6+{\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}-5\,{\mathrm{tan}\left(c+d\,x\right)}^4+{\mathrm{tan}\left(c+d\,x\right)}^3\,5{}\mathrm{i}-{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}+1\right)}","Not used",1,"(21*x)/(128*a^3) + ((7*tan(c + d*x))/(640*a^3) + 11i/(40*a^3) + (tan(c + d*x)^2*469i)/(640*a^3) - (21*tan(c + d*x)^3)/(32*a^3) + (tan(c + d*x)^4*7i)/(32*a^3) - (63*tan(c + d*x)^5)/(128*a^3) - (tan(c + d*x)^6*21i)/(128*a^3))/(d*(tan(c + d*x)*3i - tan(c + d*x)^2 + tan(c + d*x)^3*5i - 5*tan(c + d*x)^4 + tan(c + d*x)^5*1i - 3*tan(c + d*x)^6 - tan(c + d*x)^7*1i + 1))","B"
140,1,150,119,6.078617,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^3),x)","\frac{7\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,a^3\,d}+\frac{\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{4}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,6{}\mathrm{i}-\frac{13\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{2}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,16{}\mathrm{i}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,20{}\mathrm{i}}{3}+\frac{13\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,16{}\mathrm{i}}{3}-\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{34}{15}{}\mathrm{i}}{a^3\,d\,{\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}^5}","Not used",1,"(7*atanh(tan(c/2 + (d*x)/2)))/(4*a^3*d) + ((13*tan(c/2 + (d*x)/2)^3)/2 - (tan(c/2 + (d*x)/2)^2*16i)/3 - tan(c/2 + (d*x)/2)/4 + (tan(c/2 + (d*x)/2)^4*20i)/3 - tan(c/2 + (d*x)/2)^6*16i - (13*tan(c/2 + (d*x)/2)^7)/2 + tan(c/2 + (d*x)/2)^8*6i + tan(c/2 + (d*x)/2)^9/4 + 34i/15)/(a^3*d*(tan(c/2 + (d*x)/2)^2 - 1)^5)","B"
141,1,135,93,5.442784,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^3),x)","\frac{5\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^3\,d}+\frac{\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a^3}-\frac{3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{a^3}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,16{}\mathrm{i}}{a^3}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,6{}\mathrm{i}}{a^3}+\frac{22{}\mathrm{i}}{3\,a^3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(5*atanh(tan(c/2 + (d*x)/2)))/(a^3*d) + ((tan(c/2 + (d*x)/2)^4*6i)/a^3 - (tan(c/2 + (d*x)/2)^2*16i)/a^3 - (3*tan(c/2 + (d*x)/2)^5)/a^3 + 22i/(3*a^3) + (3*tan(c/2 + (d*x)/2))/a^3)/(d*(3*tan(c/2 + (d*x)/2)^2 - 3*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 1))","B"
142,1,105,65,3.769584,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^3),x)","-\frac{6\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^3\,d}-\frac{\frac{2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a^3}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,8{}\mathrm{i}}{a^3}-\frac{10{}\mathrm{i}}{a^3}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,1{}\mathrm{i}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}+1\right)}","Not used",1,"- (6*atanh(tan(c/2 + (d*x)/2)))/(a^3*d) - ((tan(c/2 + (d*x)/2)^2*8i)/a^3 - 10i/a^3 + (2*tan(c/2 + (d*x)/2))/a^3)/(d*(tan(c/2 + (d*x)/2)*1i - tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*1i + 1))","B"
143,1,68,32,3.443749,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^3),x)","-\frac{2\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,3{}\mathrm{i}-\mathrm{i}\right)}{3\,a^3\,d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,3{}\mathrm{i}+1\right)}","Not used",1,"-(2*(tan(c/2 + (d*x)/2)^2*3i - 1i))/(3*a^3*d*(tan(c/2 + (d*x)/2)*3i - 3*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*1i + 1))","B"
144,1,133,98,3.679895,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^3),x)","\frac{2\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,15{}\mathrm{i}+30\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,40{}\mathrm{i}-20\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+7{}\mathrm{i}\right)}{15\,a^3\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,1{}\mathrm{i}+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,10{}\mathrm{i}-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,5{}\mathrm{i}+1\right)}","Not used",1,"(2*(30*tan(c/2 + (d*x)/2)^3 - tan(c/2 + (d*x)/2)^2*40i - 20*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^4*15i + 7i))/(15*a^3*d*(tan(c/2 + (d*x)/2)*5i - 10*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*10i + 5*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*1i + 1))","B"
145,1,134,101,5.899214,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^3,x)","-\frac{\left(35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,105{}\mathrm{i}-175\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,105{}\mathrm{i}-7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,77{}\mathrm{i}+43\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-13{}\mathrm{i}\right)\,2{}\mathrm{i}}{35\,a^3\,d\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)\,{\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^7}","Not used",1,"-((43*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^2*77i - 7*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*105i - 175*tan(c/2 + (d*x)/2)^5 - tan(c/2 + (d*x)/2)^6*105i + 35*tan(c/2 + (d*x)/2)^7 - 13i)*2i)/(35*a^3*d*(tan(c/2 + (d*x)/2) + 1i)*(tan(c/2 + (d*x)/2)*1i + 1)^7)","B"
146,1,188,121,6.608887,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\left(63\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,189{}\mathrm{i}-273\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,63{}\mathrm{i}-378\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,294{}\mathrm{i}-306\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,450{}\mathrm{i}+235\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,39{}\mathrm{i}+51\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-19{}\mathrm{i}\right)\,2{}\mathrm{i}}{63\,a^3\,d\,{\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)}^3\,{\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^9}","Not used",1,"((51*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^2*39i + 235*tan(c/2 + (d*x)/2)^3 + tan(c/2 + (d*x)/2)^4*450i - 306*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6*294i - 378*tan(c/2 + (d*x)/2)^7 - tan(c/2 + (d*x)/2)^8*63i - 273*tan(c/2 + (d*x)/2)^9 - tan(c/2 + (d*x)/2)^10*189i + 63*tan(c/2 + (d*x)/2)^11 - 19i)*2i)/(63*a^3*d*(tan(c/2 + (d*x)/2) + 1i)^3*(tan(c/2 + (d*x)/2)*1i + 1)^9)","B"
147,1,136,139,5.516848,"\text{Not used}","int(cos(c + d*x)^5/(a + a*tan(c + d*x)*1i)^3,x)","\frac{\left(\frac{\cos\left(7\,c+7\,d\,x\right)}{64}+\frac{\cos\left(9\,c+9\,d\,x\right)}{288}+\frac{\cos\left(11\,c+11\,d\,x\right)}{2816}-\frac{\sin\left(7\,c+7\,d\,x\right)\,1{}\mathrm{i}}{64}-\frac{\sin\left(9\,c+9\,d\,x\right)\,1{}\mathrm{i}}{288}-\frac{\sin\left(11\,c+11\,d\,x\right)\,1{}\mathrm{i}}{2816}+\frac{\sqrt{224}\,\cos\left(5\,c+5\,d\,x+\mathrm{atanh}\left(\frac{57}{55}\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{1280}+\frac{\sqrt{560}\,\cos\left(3\,c+3\,d\,x+\mathrm{atanh}\left(\frac{39}{31}\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{384}+\frac{\sqrt{2}\,\cos\left(c+d\,x+\mathrm{atanh}\left(3\right)\,1{}\mathrm{i}\right)\,7{}\mathrm{i}}{32}\right)\,1{}\mathrm{i}}{a^3\,d}","Not used",1,"((cos(7*c + 7*d*x)/64 + cos(9*c + 9*d*x)/288 + cos(11*c + 11*d*x)/2816 - (sin(7*c + 7*d*x)*1i)/64 - (sin(9*c + 9*d*x)*1i)/288 - (sin(11*c + 11*d*x)*1i)/2816 + (224^(1/2)*cos(5*c + atanh(57/55)*1i + 5*d*x)*1i)/1280 + (560^(1/2)*cos(3*c + atanh(39/31)*1i + 3*d*x)*1i)/384 + (2^(1/2)*cos(c + atanh(3)*1i + d*x)*7i)/32)*1i)/(a^3*d)","B"
148,1,120,82,3.517451,"\text{Not used}","int(1/(cos(c + d*x)^14*(a + a*tan(c + d*x)*1i)^4),x)","\frac{{\cos\left(c+d\,x\right)}^9\,105{}\mathrm{i}+128\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^8+64\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^6+48\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^4-{\cos\left(c+d\,x\right)}^3\,168{}\mathrm{i}-128\,\sin\left(c+d\,x\right)\,{\cos\left(c+d\,x\right)}^2+\cos\left(c+d\,x\right)\,63{}\mathrm{i}+14\,\sin\left(c+d\,x\right)}{126\,a^4\,d\,{\cos\left(c+d\,x\right)}^9}","Not used",1,"(cos(c + d*x)*63i + 14*sin(c + d*x) - 128*cos(c + d*x)^2*sin(c + d*x) + 48*cos(c + d*x)^4*sin(c + d*x) + 64*cos(c + d*x)^6*sin(c + d*x) + 128*cos(c + d*x)^8*sin(c + d*x) - cos(c + d*x)^3*168i + cos(c + d*x)^9*105i)/(126*a^4*d*cos(c + d*x)^9)","B"
149,1,113,55,3.335555,"\text{Not used}","int(1/(cos(c + d*x)^12*(a + a*tan(c + d*x)*1i)^4),x)","\frac{\sin\left(c+d\,x\right)\,\left(21\,{\cos\left(c+d\,x\right)}^6-{\cos\left(c+d\,x\right)}^5\,\sin\left(c+d\,x\right)\,42{}\mathrm{i}-35\,{\cos\left(c+d\,x\right)}^4\,{\sin\left(c+d\,x\right)}^2-21\,{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^4+\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^5\,14{}\mathrm{i}+3\,{\sin\left(c+d\,x\right)}^6\right)}{21\,a^4\,d\,{\cos\left(c+d\,x\right)}^7}","Not used",1,"(sin(c + d*x)*(cos(c + d*x)*sin(c + d*x)^5*14i - cos(c + d*x)^5*sin(c + d*x)*42i + 21*cos(c + d*x)^6 + 3*sin(c + d*x)^6 - 21*cos(c + d*x)^2*sin(c + d*x)^4 - 35*cos(c + d*x)^4*sin(c + d*x)^2))/(21*a^4*d*cos(c + d*x)^7)","B"
150,1,93,27,3.388803,"\text{Not used}","int(1/(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^4),x)","\frac{\sin\left(c+d\,x\right)\,\left(5\,{\cos\left(c+d\,x\right)}^4-{\cos\left(c+d\,x\right)}^3\,\sin\left(c+d\,x\right)\,10{}\mathrm{i}-10\,{\cos\left(c+d\,x\right)}^2\,{\sin\left(c+d\,x\right)}^2+\cos\left(c+d\,x\right)\,{\sin\left(c+d\,x\right)}^3\,5{}\mathrm{i}+{\sin\left(c+d\,x\right)}^4\right)}{5\,a^4\,d\,{\cos\left(c+d\,x\right)}^5}","Not used",1,"(sin(c + d*x)*(cos(c + d*x)*sin(c + d*x)^3*5i - cos(c + d*x)^3*sin(c + d*x)*10i + 5*cos(c + d*x)^4 + sin(c + d*x)^4 - 10*cos(c + d*x)^2*sin(c + d*x)^2))/(5*a^4*d*cos(c + d*x)^5)","B"
151,1,60,90,3.384790,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^4),x)","-\frac{\frac{7\,\mathrm{tan}\left(c+d\,x\right)}{a^4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,a^4}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,8{}\mathrm{i}}{a^4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,2{}\mathrm{i}}{a^4}}{d}","Not used",1,"-((log(tan(c + d*x) - 1i)*8i)/a^4 + (7*tan(c + d*x))/a^4 - (tan(c + d*x)^2*2i)/a^4 - tan(c + d*x)^3/(3*a^4))/d","B"
152,1,55,63,3.357111,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^4),x)","\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,4{}\mathrm{i}}{a^4\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)}{a^4\,d}+\frac{4{}\mathrm{i}}{a^4\,d\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}","Not used",1,"(log(tan(c + d*x) - 1i)*4i)/(a^4*d) + tan(c + d*x)/(a^4*d) + 4i/(a^4*d*(tan(c + d*x)*1i + 1))","B"
153,1,25,29,3.387507,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^4),x)","-\frac{\mathrm{tan}\left(c+d\,x\right)}{a^4\,d\,{\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}^2}","Not used",1,"-tan(c + d*x)/(a^4*d*(tan(c + d*x) - 1i)^2)","B"
154,1,19,27,3.398268,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^4),x)","-\frac{1}{3\,a^4\,d\,{\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}^3}","Not used",1,"-1/(3*a^4*d*(tan(c + d*x) - 1i)^3)","B"
155,1,60,116,3.501504,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^4,x)","\frac{x}{16\,a^4}-\frac{-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{16}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{4}+\frac{19\,\mathrm{tan}\left(c+d\,x\right)}{48}-\frac{1}{3}{}\mathrm{i}}{a^4\,d\,{\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}","Not used",1,"x/(16*a^4) - ((19*tan(c + d*x))/48 + (tan(c + d*x)^2*1i)/4 - tan(c + d*x)^3/16 - 1i/3)/(a^4*d*(tan(c + d*x)*1i + 1)^4)","B"
156,1,90,169,4.131561,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^4,x)","\frac{3\,x}{32\,a^4}-\frac{-\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^5}{32}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,3{}\mathrm{i}}{8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{2}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}}{8}+\frac{47\,\mathrm{tan}\left(c+d\,x\right)}{160}-\frac{3}{10}{}\mathrm{i}}{a^4\,d\,{\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}^5\,\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(3*x)/(32*a^4) - ((47*tan(c + d*x))/160 - (tan(c + d*x)^2*1i)/8 + tan(c + d*x)^3/2 + (tan(c + d*x)^4*3i)/8 - (3*tan(c + d*x)^5)/32 - 3i/10)/(a^4*d*(tan(c + d*x) - 1i)^5*(tan(c + d*x) + 1i))","B"
157,1,197,224,4.938864,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^4,x)","\frac{7\,x}{64\,a^4}+\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,169{}\mathrm{i}}{960\,a^4}+\frac{4}{15\,a^4}+\frac{119\,{\mathrm{tan}\left(c+d\,x\right)}^2}{240\,a^4}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,889{}\mathrm{i}}{960\,a^4}-\frac{7\,{\mathrm{tan}\left(c+d\,x\right)}^4}{24\,a^4}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,91{}\mathrm{i}}{192\,a^4}-\frac{7\,{\mathrm{tan}\left(c+d\,x\right)}^6}{16\,a^4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^7\,7{}\mathrm{i}}{64\,a^4}}{d\,\left(-{\mathrm{tan}\left(c+d\,x\right)}^8\,1{}\mathrm{i}-4\,{\mathrm{tan}\left(c+d\,x\right)}^7+{\mathrm{tan}\left(c+d\,x\right)}^6\,4{}\mathrm{i}-4\,{\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,10{}\mathrm{i}+4\,{\mathrm{tan}\left(c+d\,x\right)}^3+{\mathrm{tan}\left(c+d\,x\right)}^2\,4{}\mathrm{i}+4\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"(7*x)/(64*a^4) + ((tan(c + d*x)*169i)/(960*a^4) + 4/(15*a^4) + (119*tan(c + d*x)^2)/(240*a^4) + (tan(c + d*x)^3*889i)/(960*a^4) - (7*tan(c + d*x)^4)/(24*a^4) + (tan(c + d*x)^5*91i)/(192*a^4) - (7*tan(c + d*x)^6)/(16*a^4) - (tan(c + d*x)^7*7i)/(64*a^4))/(d*(4*tan(c + d*x) + tan(c + d*x)^2*4i + 4*tan(c + d*x)^3 + tan(c + d*x)^4*10i - 4*tan(c + d*x)^5 + tan(c + d*x)^6*4i - 4*tan(c + d*x)^7 - tan(c + d*x)^8*1i - 1i))","B"
158,1,197,133,6.874331,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^4),x)","\frac{35\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,a^4\,d}+\frac{\frac{35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4\,a^4}+\frac{35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{4\,a^4}-\frac{27\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{4\,a^4}-\frac{27\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4\,a^4}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,136{}\mathrm{i}}{3\,a^4}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,40{}\mathrm{i}}{a^4}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,8{}\mathrm{i}}{a^4}-\frac{40{}\mathrm{i}}{3\,a^4}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(35*atanh(tan(c/2 + (d*x)/2)))/(4*a^4*d) + ((tan(c/2 + (d*x)/2)^2*136i)/(3*a^4) + (35*tan(c/2 + (d*x)/2)^3)/(4*a^4) - (tan(c/2 + (d*x)/2)^4*40i)/a^4 + (35*tan(c/2 + (d*x)/2)^5)/(4*a^4) + (tan(c/2 + (d*x)/2)^6*8i)/a^4 - (27*tan(c/2 + (d*x)/2)^7)/(4*a^4) - 40i/(3*a^4) - (27*tan(c/2 + (d*x)/2))/(4*a^4))/(d*(6*tan(c/2 + (d*x)/2)^4 - 4*tan(c/2 + (d*x)/2)^2 - 4*tan(c/2 + (d*x)/2)^6 + tan(c/2 + (d*x)/2)^8 + 1))","B"
159,1,162,107,5.518276,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^4),x)","-\frac{15\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^4\,d}+\frac{\frac{9\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{a^4}-\frac{7\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a^4}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,39{}\mathrm{i}}{a^4}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,17{}\mathrm{i}}{a^4}+\frac{24{}\mathrm{i}}{a^4}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,1{}\mathrm{i}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,2{}\mathrm{i}-2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}+1\right)}","Not used",1,"((9*tan(c/2 + (d*x)/2)^3)/a^4 - (tan(c/2 + (d*x)/2)^2*39i)/a^4 + (tan(c/2 + (d*x)/2)^4*17i)/a^4 + 24i/a^4 - (7*tan(c/2 + (d*x)/2))/a^4)/(d*(tan(c/2 + (d*x)/2)*1i - 2*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*2i + tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*1i + 1)) - (15*atanh(tan(c/2 + (d*x)/2)))/(a^4*d)","B"
160,1,88,82,3.675329,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^4),x)","\frac{2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^4\,d}-\frac{-\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a^4}+\frac{8{}\mathrm{i}}{3\,a^4}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,3{}\mathrm{i}+1\right)}","Not used",1,"(2*atanh(tan(c/2 + (d*x)/2)))/(a^4*d) - (8i/(3*a^4) - (8*tan(c/2 + (d*x)/2))/a^4)/(d*(tan(c/2 + (d*x)/2)*3i - 3*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*1i + 1))","B"
161,1,133,68,3.657642,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^4),x)","\frac{2\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,15{}\mathrm{i}+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,25{}\mathrm{i}-5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+4{}\mathrm{i}\right)}{15\,a^4\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,1{}\mathrm{i}+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,10{}\mathrm{i}-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,5{}\mathrm{i}+1\right)}","Not used",1,"(2*(15*tan(c/2 + (d*x)/2)^3 - tan(c/2 + (d*x)/2)^2*25i - 5*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^4*15i + 4i))/(15*a^4*d*(tan(c/2 + (d*x)/2)*5i - 10*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*10i + 5*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*1i + 1))","B"
162,1,64,132,3.740332,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^4),x)","\frac{\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{8}+\frac{{\mathrm{e}}^{-c\,3{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,1{}\mathrm{i}}{8}+\frac{{\mathrm{e}}^{-c\,5{}\mathrm{i}-d\,x\,5{}\mathrm{i}}\,3{}\mathrm{i}}{40}+\frac{{\mathrm{e}}^{-c\,7{}\mathrm{i}-d\,x\,7{}\mathrm{i}}\,1{}\mathrm{i}}{56}}{a^4\,d}","Not used",1,"((exp(- c*1i - d*x*1i)*1i)/8 + (exp(- c*3i - d*x*3i)*1i)/8 + (exp(- c*5i - d*x*5i)*3i)/40 + (exp(- c*7i - d*x*7i)*1i)/56)/(a^4*d)","B"
163,1,161,134,7.413393,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\left(63\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,252{}\mathrm{i}-588\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,672{}\mathrm{i}+378\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,168{}\mathrm{i}+372\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,288{}\mathrm{i}-97\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+20{}\mathrm{i}\right)\,2{}\mathrm{i}}{63\,a^4\,d\,\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1{}\mathrm{i}\right)\,{\left(1+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^9}","Not used",1,"((372*tan(c/2 + (d*x)/2)^3 - tan(c/2 + (d*x)/2)^2*288i - 97*tan(c/2 + (d*x)/2) + tan(c/2 + (d*x)/2)^4*168i + 378*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6*672i - 588*tan(c/2 + (d*x)/2)^7 - tan(c/2 + (d*x)/2)^8*252i + 63*tan(c/2 + (d*x)/2)^9 + 20i)*2i)/(63*a^4*d*(tan(c/2 + (d*x)/2) + 1i)*(tan(c/2 + (d*x)/2)*1i + 1)^9)","B"
164,1,216,156,5.610814,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^4,x)","-\frac{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{269\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{16}-\frac{1307\,\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}{64}+\frac{1307\,\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}{64}-\frac{1099\,\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}{32}+\frac{203\,\sin\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)}{32}-\frac{21\,\sin\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)}{64}+\frac{21\,\sin\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)}{64}+\frac{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)\,231{}\mathrm{i}}{16}-\frac{\cos\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)\,231{}\mathrm{i}}{16}+\cos\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)\,33{}\mathrm{i}-\cos\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)\,5{}\mathrm{i}+\frac{\cos\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)\,3{}\mathrm{i}}{16}-\frac{\cos\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)\,3{}\mathrm{i}}{16}\right)\,2{}\mathrm{i}}{99\,a^4\,d\,{\left(\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^{11}\,{\left(\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"-(cos(c/2 + (d*x)/2)*((cos((3*c)/2 + (3*d*x)/2)*231i)/16 - (cos((5*c)/2 + (5*d*x)/2)*231i)/16 + cos((7*c)/2 + (7*d*x)/2)*33i - cos((9*c)/2 + (9*d*x)/2)*5i + (cos((11*c)/2 + (11*d*x)/2)*3i)/16 - (cos((13*c)/2 + (13*d*x)/2)*3i)/16 + (269*sin(c/2 + (d*x)/2))/16 - (1307*sin((3*c)/2 + (3*d*x)/2))/64 + (1307*sin((5*c)/2 + (5*d*x)/2))/64 - (1099*sin((7*c)/2 + (7*d*x)/2))/32 + (203*sin((9*c)/2 + (9*d*x)/2))/32 - (21*sin((11*c)/2 + (11*d*x)/2))/64 + (21*sin((13*c)/2 + (13*d*x)/2))/64)*2i)/(99*a^4*d*(cos(c/2 + (d*x)/2) + sin(c/2 + (d*x)/2)*1i)^11*(cos(c/2 + (d*x)/2)*1i + sin(c/2 + (d*x)/2))^3)","B"
165,1,262,174,6.966690,"\text{Not used}","int(cos(c + d*x)^5/(a + a*tan(c + d*x)*1i)^4,x)","\frac{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{15049\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{128}-\frac{4513\,\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}{32}+\frac{4513\,\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}{32}-\frac{15461\,\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}{64}+\frac{3941\,\sin\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)}{64}-\frac{183\,\sin\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)}{32}+\frac{183\,\sin\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)}{32}-\frac{99\,\sin\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)}{256}+\frac{99\,\sin\left(\frac{17\,c}{2}+\frac{17\,d\,x}{2}\right)}{256}+\frac{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)\,3003{}\mathrm{i}}{32}-\frac{\cos\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)\,3003{}\mathrm{i}}{32}+\frac{\cos\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)\,7293{}\mathrm{i}}{32}-\frac{\cos\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)\,1533{}\mathrm{i}}{32}+\frac{\cos\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)\,103{}\mathrm{i}}{32}-\frac{\cos\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)\,103{}\mathrm{i}}{32}+\frac{\cos\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)\,11{}\mathrm{i}}{64}-\frac{\cos\left(\frac{17\,c}{2}+\frac{17\,d\,x}{2}\right)\,11{}\mathrm{i}}{64}\right)\,2{}\mathrm{i}}{715\,a^4\,d\,{\left(\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^{13}\,{\left(\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^5}","Not used",1,"(cos(c/2 + (d*x)/2)*((cos((3*c)/2 + (3*d*x)/2)*3003i)/32 - (cos((5*c)/2 + (5*d*x)/2)*3003i)/32 + (cos((7*c)/2 + (7*d*x)/2)*7293i)/32 - (cos((9*c)/2 + (9*d*x)/2)*1533i)/32 + (cos((11*c)/2 + (11*d*x)/2)*103i)/32 - (cos((13*c)/2 + (13*d*x)/2)*103i)/32 + (cos((15*c)/2 + (15*d*x)/2)*11i)/64 - (cos((17*c)/2 + (17*d*x)/2)*11i)/64 + (15049*sin(c/2 + (d*x)/2))/128 - (4513*sin((3*c)/2 + (3*d*x)/2))/32 + (4513*sin((5*c)/2 + (5*d*x)/2))/32 - (15461*sin((7*c)/2 + (7*d*x)/2))/64 + (3941*sin((9*c)/2 + (9*d*x)/2))/64 - (183*sin((11*c)/2 + (11*d*x)/2))/32 + (183*sin((13*c)/2 + (13*d*x)/2))/32 - (99*sin((15*c)/2 + (15*d*x)/2))/256 + (99*sin((17*c)/2 + (17*d*x)/2))/256)*2i)/(715*a^4*d*(cos(c/2 + (d*x)/2) + sin(c/2 + (d*x)/2)*1i)^13*(cos(c/2 + (d*x)/2)*1i + sin(c/2 + (d*x)/2))^5)","B"
166,1,105,134,3.449359,"\text{Not used}","int(1/(cos(c + d*x)^14*(a + a*tan(c + d*x)*1i)^8),x)","\frac{\frac{129\,\mathrm{tan}\left(c+d\,x\right)}{a^8}-\frac{10\,{\mathrm{tan}\left(c+d\,x\right)}^3}{a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,a^8}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,192{}\mathrm{i}}{a^8}+\frac{64{}\mathrm{i}}{a^8\,\left(1+\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,36{}\mathrm{i}}{a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4\,2{}\mathrm{i}}{a^8}}{d}","Not used",1,"((log(tan(c + d*x) - 1i)*192i)/a^8 + (129*tan(c + d*x))/a^8 + 64i/(a^8*(tan(c + d*x)*1i + 1)) - (tan(c + d*x)^2*36i)/a^8 - (10*tan(c + d*x)^3)/a^8 + (tan(c + d*x)^4*2i)/a^8 + tan(c + d*x)^5/(5*a^8))/d","B"
167,1,114,126,3.440343,"\text{Not used}","int(1/(cos(c + d*x)^12*(a + a*tan(c + d*x)*1i)^8),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,a^8\,d}-\frac{31\,\mathrm{tan}\left(c+d\,x\right)}{a^8\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,4{}\mathrm{i}}{a^8\,d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,80{}\mathrm{i}}{a^8\,d}-\frac{\frac{64}{a^8}+\frac{\mathrm{tan}\left(c+d\,x\right)\,80{}\mathrm{i}}{a^8}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}+2\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"(tan(c + d*x)^2*4i)/(a^8*d) - (31*tan(c + d*x))/(a^8*d) - (log(tan(c + d*x) - 1i)*80i)/(a^8*d) + tan(c + d*x)^3/(3*a^8*d) - ((tan(c + d*x)*80i)/a^8 + 64/a^8)/(d*(2*tan(c + d*x) + tan(c + d*x)^2*1i - 1i))","B"
168,1,104,116,3.498007,"\text{Not used}","int(1/(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^8),x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{a^8\,d}-\frac{\frac{32\,\mathrm{tan}\left(c+d\,x\right)}{a^8}-\frac{40{}\mathrm{i}}{3\,a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,24{}\mathrm{i}}{a^8}}{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)\,8{}\mathrm{i}}{a^8\,d}","Not used",1,"(log(tan(c + d*x) - 1i)*8i)/(a^8*d) - ((32*tan(c + d*x))/a^8 - 40i/(3*a^8) + (tan(c + d*x)^2*24i)/a^8)/(d*(tan(c + d*x)*3i - 3*tan(c + d*x)^2 - tan(c + d*x)^3*1i + 1)) + tan(c + d*x)/(a^8*d)","B"
169,1,73,43,3.506802,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^8),x)","-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,1{}\mathrm{i}-\mathrm{i}\right)}{a^8\,d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4\,1{}\mathrm{i}+4\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,6{}\mathrm{i}-4\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"-(tan(c + d*x)*(tan(c + d*x)^2*1i - 1i))/(a^8*d*(4*tan(c + d*x)^3 - tan(c + d*x)^2*6i - 4*tan(c + d*x) + tan(c + d*x)^4*1i + 1i))","B"
170,1,85,81,3.498527,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^8),x)","\frac{-{\mathrm{tan}\left(c+d\,x\right)}^2\,5{}\mathrm{i}+5\,\mathrm{tan}\left(c+d\,x\right)+2{}\mathrm{i}}{15\,a^8\,d\,\left({\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}+5\,{\mathrm{tan}\left(c+d\,x\right)}^4-{\mathrm{tan}\left(c+d\,x\right)}^3\,10{}\mathrm{i}-10\,{\mathrm{tan}\left(c+d\,x\right)}^2+\mathrm{tan}\left(c+d\,x\right)\,5{}\mathrm{i}+1\right)}","Not used",1,"(5*tan(c + d*x) - tan(c + d*x)^2*5i + 2i)/(15*a^8*d*(tan(c + d*x)*5i - 10*tan(c + d*x)^2 - tan(c + d*x)^3*10i + 5*tan(c + d*x)^4 + tan(c + d*x)^5*1i + 1))","B"
171,1,85,55,3.502596,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^8),x)","-\frac{-2+\mathrm{tan}\left(c+d\,x\right)\,3{}\mathrm{i}}{15\,a^8\,d\,\left({\mathrm{tan}\left(c+d\,x\right)}^6\,1{}\mathrm{i}+6\,{\mathrm{tan}\left(c+d\,x\right)}^5-{\mathrm{tan}\left(c+d\,x\right)}^4\,15{}\mathrm{i}-20\,{\mathrm{tan}\left(c+d\,x\right)}^3+{\mathrm{tan}\left(c+d\,x\right)}^2\,15{}\mathrm{i}+6\,\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}","Not used",1,"-(tan(c + d*x)*3i - 2)/(15*a^8*d*(6*tan(c + d*x) + tan(c + d*x)^2*15i - 20*tan(c + d*x)^3 - tan(c + d*x)^4*15i + 6*tan(c + d*x)^5 + tan(c + d*x)^6*1i - 1i))","B"
172,1,19,27,3.562324,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^8),x)","-\frac{1}{7\,a^8\,d\,{\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)}^7}","Not used",1,"-1/(7*a^8*d*(tan(c + d*x) - 1i)^7)","B"
173,1,198,229,4.955849,"\text{Not used}","int(1/(a + a*tan(c + d*x)*1i)^8,x)","\frac{x}{256\,a^8}-\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,5993{}\mathrm{i}}{26880\,a^8}+\frac{16}{105\,a^8}-\frac{143\,{\mathrm{tan}\left(c+d\,x\right)}^2}{480\,a^8}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,1193{}\mathrm{i}}{3840\,a^8}+\frac{11\,{\mathrm{tan}\left(c+d\,x\right)}^4}{48\,a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,85{}\mathrm{i}}{768\,a^8}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^6}{32\,a^8}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^7\,1{}\mathrm{i}}{256\,a^8}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^8\,1{}\mathrm{i}+8\,{\mathrm{tan}\left(c+d\,x\right)}^7-{\mathrm{tan}\left(c+d\,x\right)}^6\,28{}\mathrm{i}-56\,{\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,70{}\mathrm{i}+56\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,28{}\mathrm{i}-8\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"x/(256*a^8) - ((tan(c + d*x)*5993i)/(26880*a^8) + 16/(105*a^8) - (143*tan(c + d*x)^2)/(480*a^8) - (tan(c + d*x)^3*1193i)/(3840*a^8) + (11*tan(c + d*x)^4)/(48*a^8) + (tan(c + d*x)^5*85i)/(768*a^8) - tan(c + d*x)^6/(32*a^8) - (tan(c + d*x)^7*1i)/(256*a^8))/(d*(56*tan(c + d*x)^3 - tan(c + d*x)^2*28i - 8*tan(c + d*x) + tan(c + d*x)^4*70i - 56*tan(c + d*x)^5 - tan(c + d*x)^6*28i + 8*tan(c + d*x)^7 + tan(c + d*x)^8*1i + 1i))","B"
174,1,235,278,5.291804,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^8,x)","\frac{5\,x}{512\,a^8}+\frac{\frac{163\,{\mathrm{tan}\left(c+d\,x\right)}^2}{448\,a^8}-\frac{10}{63\,a^8}-\frac{\mathrm{tan}\left(c+d\,x\right)\,9019{}\mathrm{i}}{32256\,a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,393{}\mathrm{i}}{1792\,a^8}+\frac{11\,{\mathrm{tan}\left(c+d\,x\right)}^4}{64\,a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,1{}\mathrm{i}}{2\,a^8}-\frac{95\,{\mathrm{tan}\left(c+d\,x\right)}^6}{192\,a^8}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^7\,205{}\mathrm{i}}{768\,a^8}+\frac{5\,{\mathrm{tan}\left(c+d\,x\right)}^8}{64\,a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^9\,5{}\mathrm{i}}{512\,a^8}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^{10}\,1{}\mathrm{i}+8\,{\mathrm{tan}\left(c+d\,x\right)}^9-{\mathrm{tan}\left(c+d\,x\right)}^8\,27{}\mathrm{i}-48\,{\mathrm{tan}\left(c+d\,x\right)}^7+{\mathrm{tan}\left(c+d\,x\right)}^6\,42{}\mathrm{i}+{\mathrm{tan}\left(c+d\,x\right)}^4\,42{}\mathrm{i}+48\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,27{}\mathrm{i}-8\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(5*x)/(512*a^8) + ((163*tan(c + d*x)^2)/(448*a^8) - 10/(63*a^8) - (tan(c + d*x)*9019i)/(32256*a^8) + (tan(c + d*x)^3*393i)/(1792*a^8) + (11*tan(c + d*x)^4)/(64*a^8) + (tan(c + d*x)^5*1i)/(2*a^8) - (95*tan(c + d*x)^6)/(192*a^8) - (tan(c + d*x)^7*205i)/(768*a^8) + (5*tan(c + d*x)^8)/(64*a^8) + (tan(c + d*x)^9*5i)/(512*a^8))/(d*(48*tan(c + d*x)^3 - tan(c + d*x)^2*27i - 8*tan(c + d*x) + tan(c + d*x)^4*42i + tan(c + d*x)^6*42i - 48*tan(c + d*x)^7 - tan(c + d*x)^8*27i + 8*tan(c + d*x)^9 + tan(c + d*x)^10*1i + 1i))","B"
175,1,294,333,5.704235,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^8,x)","\frac{33\,x}{2048\,a^8}-\frac{\frac{\mathrm{tan}\left(c+d\,x\right)\,66953{}\mathrm{i}}{215040\,a^8}+\frac{17}{105\,a^8}-\frac{9097\,{\mathrm{tan}\left(c+d\,x\right)}^2}{26880\,a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,4279{}\mathrm{i}}{43008\,a^8}-\frac{99\,{\mathrm{tan}\left(c+d\,x\right)}^4}{112\,a^8}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,42537{}\mathrm{i}}{35840\,a^8}+\frac{341\,{\mathrm{tan}\left(c+d\,x\right)}^6}{640\,a^8}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^7\,1969{}\mathrm{i}}{5120\,a^8}+\frac{11\,{\mathrm{tan}\left(c+d\,x\right)}^8}{16\,a^8}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^9\,869{}\mathrm{i}}{2048\,a^8}-\frac{33\,{\mathrm{tan}\left(c+d\,x\right)}^{10}}{256\,a^8}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^{11}\,33{}\mathrm{i}}{2048\,a^8}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^{12}\,1{}\mathrm{i}+8\,{\mathrm{tan}\left(c+d\,x\right)}^{11}-{\mathrm{tan}\left(c+d\,x\right)}^{10}\,26{}\mathrm{i}-40\,{\mathrm{tan}\left(c+d\,x\right)}^9+{\mathrm{tan}\left(c+d\,x\right)}^8\,15{}\mathrm{i}-48\,{\mathrm{tan}\left(c+d\,x\right)}^7+{\mathrm{tan}\left(c+d\,x\right)}^6\,84{}\mathrm{i}+48\,{\mathrm{tan}\left(c+d\,x\right)}^5+{\mathrm{tan}\left(c+d\,x\right)}^4\,15{}\mathrm{i}+40\,{\mathrm{tan}\left(c+d\,x\right)}^3-{\mathrm{tan}\left(c+d\,x\right)}^2\,26{}\mathrm{i}-8\,\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(33*x)/(2048*a^8) - ((tan(c + d*x)*66953i)/(215040*a^8) + 17/(105*a^8) - (9097*tan(c + d*x)^2)/(26880*a^8) + (tan(c + d*x)^3*4279i)/(43008*a^8) - (99*tan(c + d*x)^4)/(112*a^8) - (tan(c + d*x)^5*42537i)/(35840*a^8) + (341*tan(c + d*x)^6)/(640*a^8) - (tan(c + d*x)^7*1969i)/(5120*a^8) + (11*tan(c + d*x)^8)/(16*a^8) + (tan(c + d*x)^9*869i)/(2048*a^8) - (33*tan(c + d*x)^10)/(256*a^8) - (tan(c + d*x)^11*33i)/(2048*a^8))/(d*(40*tan(c + d*x)^3 - tan(c + d*x)^2*26i - 8*tan(c + d*x) + tan(c + d*x)^4*15i + 48*tan(c + d*x)^5 + tan(c + d*x)^6*84i - 48*tan(c + d*x)^7 + tan(c + d*x)^8*15i - 40*tan(c + d*x)^9 - tan(c + d*x)^10*26i + 8*tan(c + d*x)^11 + tan(c + d*x)^12*1i + 1i))","B"
176,1,344,205,7.565602,"\text{Not used}","int(1/(cos(c + d*x)^13*(a + a*tan(c + d*x)*1i)^8),x)","\frac{\frac{33847\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{6\,a^8}-\frac{12041\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{3\,a^8}-\frac{3585\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{a^8}+\frac{3505\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{4\,a^8}+\frac{4293\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4\,a^8}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,27565{}\mathrm{i}}{12\,a^8}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,4575{}\mathrm{i}}{a^8}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,25993{}\mathrm{i}}{6\,a^8}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,5639{}\mathrm{i}}{3\,a^8}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,1147{}\mathrm{i}}{4\,a^8}-\frac{1360{}\mathrm{i}}{3\,a^8}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}\,1{}\mathrm{i}-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,7{}\mathrm{i}+13\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,18{}\mathrm{i}-22\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,22{}\mathrm{i}+18\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,13{}\mathrm{i}-7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,3{}\mathrm{i}+1\right)}+\frac{1155\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,a^8\,d}","Not used",1,"((tan(c/2 + (d*x)/2)^2*27565i)/(12*a^8) - (12041*tan(c/2 + (d*x)/2)^3)/(3*a^8) - (tan(c/2 + (d*x)/2)^4*4575i)/a^8 + (33847*tan(c/2 + (d*x)/2)^5)/(6*a^8) + (tan(c/2 + (d*x)/2)^6*25993i)/(6*a^8) - (3585*tan(c/2 + (d*x)/2)^7)/a^8 - (tan(c/2 + (d*x)/2)^8*5639i)/(3*a^8) + (3505*tan(c/2 + (d*x)/2)^9)/(4*a^8) + (tan(c/2 + (d*x)/2)^10*1147i)/(4*a^8) - 1360i/(3*a^8) + (4293*tan(c/2 + (d*x)/2))/(4*a^8))/(d*(tan(c/2 + (d*x)/2)*3i - 7*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*13i + 18*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*22i - 22*tan(c/2 + (d*x)/2)^6 - tan(c/2 + (d*x)/2)^7*18i + 13*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^9*7i - 3*tan(c/2 + (d*x)/2)^10 - tan(c/2 + (d*x)/2)^11*1i + 1)) + (1155*atanh(tan(c/2 + (d*x)/2)))/(4*a^8*d)","B"
177,1,284,183,7.437627,"\text{Not used}","int(1/(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^8),x)","-\frac{63\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^8\,d}+\frac{\frac{1223\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{a^8}-\frac{1109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{a^8}+\frac{309\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{a^8}-\frac{431\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a^8}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,4407{}\mathrm{i}}{5\,a^8}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,7351{}\mathrm{i}}{5\,a^8}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,761{}\mathrm{i}}{a^8}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,65{}\mathrm{i}}{a^8}+\frac{496{}\mathrm{i}}{5\,a^8}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,1{}\mathrm{i}+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,12{}\mathrm{i}-20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,26{}\mathrm{i}+26\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,20{}\mathrm{i}-12\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,5{}\mathrm{i}+1\right)}","Not used",1,"((1223*tan(c/2 + (d*x)/2)^3)/a^8 - (tan(c/2 + (d*x)/2)^2*4407i)/(5*a^8) + (tan(c/2 + (d*x)/2)^4*7351i)/(5*a^8) - (1109*tan(c/2 + (d*x)/2)^5)/a^8 - (tan(c/2 + (d*x)/2)^6*761i)/a^8 + (309*tan(c/2 + (d*x)/2)^7)/a^8 + (tan(c/2 + (d*x)/2)^8*65i)/a^8 + 496i/(5*a^8) - (431*tan(c/2 + (d*x)/2))/a^8)/(d*(tan(c/2 + (d*x)/2)*5i - 12*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*20i + 26*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*26i - 20*tan(c/2 + (d*x)/2)^6 - tan(c/2 + (d*x)/2)^7*12i + 5*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^9*1i + 1)) - (63*atanh(tan(c/2 + (d*x)/2)))/(a^8*d)","B"
178,1,207,156,6.935684,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^8),x)","\frac{2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{a^8\,d}+\frac{\frac{16\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{a^8}-\frac{224\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{3\,a^8}+\frac{304\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{15\,a^8}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,224{}\mathrm{i}}{5\,a^8}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,80{}\mathrm{i}}{3\,a^8}-\frac{304{}\mathrm{i}}{105\,a^8}}{d\,\left(-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,1{}\mathrm{i}-7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,21{}\mathrm{i}+35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,35{}\mathrm{i}-21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,7{}\mathrm{i}+1\right)}","Not used",1,"(2*atanh(tan(c/2 + (d*x)/2)))/(a^8*d) + ((tan(c/2 + (d*x)/2)^2*224i)/(5*a^8) - (224*tan(c/2 + (d*x)/2)^3)/(3*a^8) - (tan(c/2 + (d*x)/2)^4*80i)/(3*a^8) + (16*tan(c/2 + (d*x)/2)^5)/a^8 - 304i/(105*a^8) + (304*tan(c/2 + (d*x)/2))/(15*a^8))/(d*(tan(c/2 + (d*x)/2)*7i - 21*tan(c/2 + (d*x)/2)^2 - tan(c/2 + (d*x)/2)^3*35i + 35*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^5*21i - 7*tan(c/2 + (d*x)/2)^6 - tan(c/2 + (d*x)/2)^7*1i + 1))","B"
179,1,37,68,3.744508,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^8),x)","\frac{2\,\left(\frac{{\mathrm{e}}^{-c\,7{}\mathrm{i}-d\,x\,7{}\mathrm{i}}\,9{}\mathrm{i}}{4}+\frac{{\mathrm{e}}^{-c\,9{}\mathrm{i}-d\,x\,9{}\mathrm{i}}\,7{}\mathrm{i}}{4}\right)}{63\,a^8\,d}","Not used",1,"(2*((exp(- c*7i - d*x*7i)*9i)/4 + (exp(- c*9i - d*x*9i)*7i)/4))/(63*a^8*d)","B"
180,1,64,138,3.914803,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^8),x)","\frac{\frac{{\mathrm{e}}^{-c\,5{}\mathrm{i}-d\,x\,5{}\mathrm{i}}\,1{}\mathrm{i}}{40}+\frac{{\mathrm{e}}^{-c\,7{}\mathrm{i}-d\,x\,7{}\mathrm{i}}\,3{}\mathrm{i}}{56}+\frac{{\mathrm{e}}^{-c\,9{}\mathrm{i}-d\,x\,9{}\mathrm{i}}\,1{}\mathrm{i}}{24}+\frac{{\mathrm{e}}^{-c\,11{}\mathrm{i}-d\,x\,11{}\mathrm{i}}\,1{}\mathrm{i}}{88}}{a^8\,d}","Not used",1,"((exp(- c*5i - d*x*5i)*1i)/40 + (exp(- c*7i - d*x*7i)*3i)/56 + (exp(- c*9i - d*x*9i)*1i)/24 + (exp(- c*11i - d*x*11i)*1i)/88)/(a^8*d)","B"
181,1,159,213,4.221654,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^8),x)","\frac{\frac{{\cos\left(3\,c+3\,d\,x\right)}^3\,5{}\mathrm{i}}{36}+\frac{5\,\sin\left(3\,c+3\,d\,x\right)\,{\cos\left(3\,c+3\,d\,x\right)}^2}{36}-\frac{\cos\left(3\,c+3\,d\,x\right)\,3{}\mathrm{i}}{32}+\frac{\cos\left(5\,c+5\,d\,x\right)\,1{}\mathrm{i}}{32}+\frac{\cos\left(7\,c+7\,d\,x\right)\,5{}\mathrm{i}}{112}+\frac{\cos\left(11\,c+11\,d\,x\right)\,5{}\mathrm{i}}{352}+\frac{\cos\left(13\,c+13\,d\,x\right)\,1{}\mathrm{i}}{416}-\frac{7\,\sin\left(3\,c+3\,d\,x\right)}{288}+\frac{\sin\left(5\,c+5\,d\,x\right)}{32}+\frac{5\,\sin\left(7\,c+7\,d\,x\right)}{112}+\frac{5\,\sin\left(11\,c+11\,d\,x\right)}{352}+\frac{\sin\left(13\,c+13\,d\,x\right)}{416}}{a^8\,d}","Not used",1,"((cos(5*c + 5*d*x)*1i)/32 - (cos(3*c + 3*d*x)*3i)/32 + (cos(7*c + 7*d*x)*5i)/112 + (cos(11*c + 11*d*x)*5i)/352 + (cos(13*c + 13*d*x)*1i)/416 - (7*sin(3*c + 3*d*x))/288 + sin(5*c + 5*d*x)/32 + (5*sin(7*c + 7*d*x))/112 + (5*sin(11*c + 11*d*x))/352 + sin(13*c + 13*d*x)/416 + (cos(3*c + 3*d*x)^3*5i)/36 + (5*cos(3*c + 3*d*x)^2*sin(3*c + 3*d*x))/36)/(a^8*d)","B"
182,1,224,269,5.359596,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^8),x)","\frac{2\,\left(2\,{\sin\left(\frac{c}{4}+\frac{d\,x}{4}\right)}^2-1\right)\,\left(-\frac{{\sin\left(c+d\,x\right)}^2\,44779{}\mathrm{i}}{32}+\frac{32175\,\sin\left(c+d\,x\right)}{128}-\frac{{\sin\left(2\,c+2\,d\,x\right)}^2\,26075{}\mathrm{i}}{16}-\frac{3575\,\sin\left(2\,c+2\,d\,x\right)}{8}+\frac{{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,114583{}\mathrm{i}}{64}-\frac{{\sin\left(3\,c+3\,d\,x\right)}^2\,57925{}\mathrm{i}}{32}+\frac{84227\,\sin\left(3\,c+3\,d\,x\right)}{128}+\frac{{\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}^2\,116585{}\mathrm{i}}{64}+\frac{{\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}^2\,119315{}\mathrm{i}}{64}+\frac{{\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}^2\,122285{}\mathrm{i}}{64}-754\,\sin\left(4\,c+4\,d\,x\right)+\frac{111527\,\sin\left(5\,c+5\,d\,x\right)}{128}-\frac{7187\,\sin\left(6\,c+6\,d\,x\right)}{8}+\frac{121427\,\sin\left(7\,c+7\,d\,x\right)}{128}-952{}\mathrm{i}\right)}{6435\,a^8\,d\,\left(-2\,{\sin\left(\frac{15\,c}{4}+\frac{15\,d\,x}{4}\right)}^2+\sin\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)\,1{}\mathrm{i}+1\right)}","Not used",1,"(2*(2*sin(c/4 + (d*x)/4)^2 - 1)*((32175*sin(c + d*x))/128 - (3575*sin(2*c + 2*d*x))/8 + (84227*sin(3*c + 3*d*x))/128 - 754*sin(4*c + 4*d*x) + (111527*sin(5*c + 5*d*x))/128 - (7187*sin(6*c + 6*d*x))/8 + (121427*sin(7*c + 7*d*x))/128 - (sin(2*c + 2*d*x)^2*26075i)/16 + (sin(c/2 + (d*x)/2)^2*114583i)/64 - (sin(3*c + 3*d*x)^2*57925i)/32 + (sin((3*c)/2 + (3*d*x)/2)^2*116585i)/64 + (sin((5*c)/2 + (5*d*x)/2)^2*119315i)/64 + (sin((7*c)/2 + (7*d*x)/2)^2*122285i)/64 - (sin(c + d*x)^2*44779i)/32 - 952i))/(6435*a^8*d*(sin((15*c)/2 + (15*d*x)/2)*1i - 2*sin((15*c)/4 + (15*d*x)/4)^2 + 1))","B"
183,1,262,271,6.664778,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^8,x)","\frac{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{152329\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{128}-\frac{41121\,\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}{32}+\frac{41121\,\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}{32}-\frac{96165\,\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}{64}+\frac{96165\,\sin\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)}{64}-\frac{55095\,\sin\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)}{32}+\frac{55095\,\sin\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)}{32}-\frac{491811\,\sin\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)}{256}+\frac{6435\,\sin\left(\frac{17\,c}{2}+\frac{17\,d\,x}{2}\right)}{256}+\frac{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)\,12155{}\mathrm{i}}{16}-\frac{\cos\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)\,12155{}\mathrm{i}}{16}+\frac{\cos\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)\,21437{}\mathrm{i}}{16}-\frac{\cos\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)\,21437{}\mathrm{i}}{16}+\frac{\cos\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)\,27047{}\mathrm{i}}{16}-\frac{\cos\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)\,27047{}\mathrm{i}}{16}+\frac{\cos\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)\,61387{}\mathrm{i}}{32}-\frac{\cos\left(\frac{17\,c}{2}+\frac{17\,d\,x}{2}\right)\,715{}\mathrm{i}}{32}\right)\,2{}\mathrm{i}}{12155\,a^8\,d\,{\left(\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^{17}\,\left(\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}","Not used",1,"(cos(c/2 + (d*x)/2)*((cos((3*c)/2 + (3*d*x)/2)*12155i)/16 - (cos((5*c)/2 + (5*d*x)/2)*12155i)/16 + (cos((7*c)/2 + (7*d*x)/2)*21437i)/16 - (cos((9*c)/2 + (9*d*x)/2)*21437i)/16 + (cos((11*c)/2 + (11*d*x)/2)*27047i)/16 - (cos((13*c)/2 + (13*d*x)/2)*27047i)/16 + (cos((15*c)/2 + (15*d*x)/2)*61387i)/32 - (cos((17*c)/2 + (17*d*x)/2)*715i)/32 + (152329*sin(c/2 + (d*x)/2))/128 - (41121*sin((3*c)/2 + (3*d*x)/2))/32 + (41121*sin((5*c)/2 + (5*d*x)/2))/32 - (96165*sin((7*c)/2 + (7*d*x)/2))/64 + (96165*sin((9*c)/2 + (9*d*x)/2))/64 - (55095*sin((11*c)/2 + (11*d*x)/2))/32 + (55095*sin((13*c)/2 + (13*d*x)/2))/32 - (491811*sin((15*c)/2 + (15*d*x)/2))/256 + (6435*sin((17*c)/2 + (17*d*x)/2))/256)*2i)/(12155*a^8*d*(cos(c/2 + (d*x)/2) + sin(c/2 + (d*x)/2)*1i)^17*(cos(c/2 + (d*x)/2)*1i + sin(c/2 + (d*x)/2)))","B"
184,1,308,301,9.524188,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^8,x)","-\frac{2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{46189\,\cos\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)}{64}-\frac{46189\,\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}{64}-\frac{20995\,\cos\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)}{16}+\frac{20995\,\cos\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)}{16}-\frac{221255\,\cos\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)}{128}+\frac{221255\,\cos\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)}{128}-\frac{66861\,\cos\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)}{32}+\frac{2093\,\cos\left(\frac{17\,c}{2}+\frac{17\,d\,x}{2}\right)}{32}-\frac{221\,\cos\left(\frac{19\,c}{2}+\frac{19\,d\,x}{2}\right)}{128}+\frac{221\,\cos\left(\frac{21\,c}{2}+\frac{21\,d\,x}{2}\right)}{128}+\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,309861{}\mathrm{i}}{256}-\frac{\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)\,665911{}\mathrm{i}}{512}+\frac{\sin\left(\frac{5\,c}{2}+\frac{5\,d\,x}{2}\right)\,665911{}\mathrm{i}}{512}-\frac{\sin\left(\frac{7\,c}{2}+\frac{7\,d\,x}{2}\right)\,194821{}\mathrm{i}}{128}+\frac{\sin\left(\frac{9\,c}{2}+\frac{9\,d\,x}{2}\right)\,194821{}\mathrm{i}}{128}-\frac{\sin\left(\frac{11\,c}{2}+\frac{11\,d\,x}{2}\right)\,1825043{}\mathrm{i}}{1024}+\frac{\sin\left(\frac{13\,c}{2}+\frac{13\,d\,x}{2}\right)\,1825043{}\mathrm{i}}{1024}-\frac{\sin\left(\frac{15\,c}{2}+\frac{15\,d\,x}{2}\right)\,1074183{}\mathrm{i}}{512}+\frac{\sin\left(\frac{17\,c}{2}+\frac{17\,d\,x}{2}\right)\,37895{}\mathrm{i}}{512}-\frac{\sin\left(\frac{19\,c}{2}+\frac{19\,d\,x}{2}\right)\,2431{}\mathrm{i}}{1024}+\frac{\sin\left(\frac{21\,c}{2}+\frac{21\,d\,x}{2}\right)\,2431{}\mathrm{i}}{1024}\right)}{12597\,a^8\,d\,{\left(\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^{19}\,{\left(\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}\right)}^3}","Not used",1,"-(2*cos(c/2 + (d*x)/2)*((46189*cos((5*c)/2 + (5*d*x)/2))/64 - (46189*cos((3*c)/2 + (3*d*x)/2))/64 - (20995*cos((7*c)/2 + (7*d*x)/2))/16 + (20995*cos((9*c)/2 + (9*d*x)/2))/16 - (221255*cos((11*c)/2 + (11*d*x)/2))/128 + (221255*cos((13*c)/2 + (13*d*x)/2))/128 - (66861*cos((15*c)/2 + (15*d*x)/2))/32 + (2093*cos((17*c)/2 + (17*d*x)/2))/32 - (221*cos((19*c)/2 + (19*d*x)/2))/128 + (221*cos((21*c)/2 + (21*d*x)/2))/128 + (sin(c/2 + (d*x)/2)*309861i)/256 - (sin((3*c)/2 + (3*d*x)/2)*665911i)/512 + (sin((5*c)/2 + (5*d*x)/2)*665911i)/512 - (sin((7*c)/2 + (7*d*x)/2)*194821i)/128 + (sin((9*c)/2 + (9*d*x)/2)*194821i)/128 - (sin((11*c)/2 + (11*d*x)/2)*1825043i)/1024 + (sin((13*c)/2 + (13*d*x)/2)*1825043i)/1024 - (sin((15*c)/2 + (15*d*x)/2)*1074183i)/512 + (sin((17*c)/2 + (17*d*x)/2)*37895i)/512 - (sin((19*c)/2 + (19*d*x)/2)*2431i)/1024 + (sin((21*c)/2 + (21*d*x)/2)*2431i)/1024))/(12597*a^8*d*(cos(c/2 + (d*x)/2) + sin(c/2 + (d*x)/2)*1i)^19*(cos(c/2 + (d*x)/2)*1i + sin(c/2 + (d*x)/2))^3)","B"
185,0,-1,123,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i), x)","F"
186,0,-1,94,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i), x)","F"
187,0,-1,90,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i), x)","F"
188,1,40,60,3.783757,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i),x)","\frac{2\,a\,\left(\sqrt{\cos\left(c+d\,x\right)}\,\mathrm{F}\left(\frac{c}{2}+\frac{d\,x}{2}\middle|2\right)+1{}\mathrm{i}\right)\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}}{d}","Not used",1,"(2*a*(cos(c + d*x)^(1/2)*ellipticF(c/2 + (d*x)/2, 2) + 1i)*(e/cos(c + d*x))^(1/2))/d","B"
189,0,-1,60,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(1/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(1/2), x)","F"
190,0,-1,96,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(3/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(3/2), x)","F"
191,0,-1,96,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(5/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(5/2), x)","F"
192,0,-1,125,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(7/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/(e/cos(c + d*x))^(7/2), x)","F"
193,0,-1,138,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^2,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^2, x)","F"
194,0,-1,106,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^2,x)","\int \sqrt{\frac{e}{\cos\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((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^2, x)","F"
195,0,-1,107,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(1/2), x)","F"
196,0,-1,85,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(3/2), x)","F"
197,0,-1,85,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(5/2), x)","F"
198,0,-1,116,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(7/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(7/2), x)","F"
199,0,-1,116,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(9/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(9/2), x)","F"
200,0,-1,147,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(11/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{11/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^2/(e/cos(c + d*x))^(11/2), x)","F"
201,0,-1,202,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
202,0,-1,175,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
203,0,-1,175,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
204,0,-1,139,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^3,x)","\int \sqrt{\frac{e}{\cos\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((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^3, x)","F"
205,0,-1,124,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(1/2), x)","F"
206,0,-1,111,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(3/2), x)","F"
207,0,-1,111,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(5/2), x)","F"
208,0,-1,124,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(7/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(7/2), x)","F"
209,0,-1,124,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(9/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(9/2), x)","F"
210,0,-1,155,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(11/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{11/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(11/2), x)","F"
211,0,-1,155,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(13/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{13/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(13/2), x)","F"
212,0,-1,186,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(15/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{15/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^3/(e/cos(c + d*x))^(15/2), x)","F"
213,0,-1,215,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^4,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4 \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^4, x)","F"
214,0,-1,183,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^4,x)","\int \sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4 \,d x","Not used",1,"int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^4, x)","F"
215,0,-1,178,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(1/2), x)","F"
216,0,-1,146,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(3/2), x)","F"
217,0,-1,156,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(5/2), x)","F"
218,0,-1,125,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(7/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(7/2), x)","F"
219,0,-1,125,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(9/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(9/2), x)","F"
220,0,-1,156,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(11/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{11/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(11/2), x)","F"
221,0,-1,156,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(13/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{13/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(13/2), x)","F"
222,0,-1,187,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(15/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{15/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^4/(e/cos(c + d*x))^(15/2), x)","F"
223,0,-1,136,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{11/2}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i), x)","F"
224,0,-1,105,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i), x)","F"
225,0,-1,101,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i), x)","F"
226,0,-1,70,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i), x)","F"
227,0,-1,70,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i), x)","F"
228,0,-1,80,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i),x)","\int \frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i), x)","F"
229,0,-1,80,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{1}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)), x)","F"
230,0,-1,114,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)), x)","F"
231,0,-1,114,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)), x)","F"
232,0,-1,145,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)), x)","F"
233,0,-1,183,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(15/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{15/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^(15/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
234,0,-1,152,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(13/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{13/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^(13/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
235,0,-1,152,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{11/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
236,0,-1,119,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
237,0,-1,115,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
238,0,-1,90,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
239,0,-1,90,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
240,0,-1,116,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{\sqrt{\frac{e}{\cos\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((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
241,0,-1,116,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
242,0,-1,150,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
243,0,-1,150,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
244,0,-1,181,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
245,0,-1,178,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(15/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{15/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^(15/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
246,0,-1,141,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(13/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{13/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^(13/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
247,0,-1,141,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{11/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
248,0,-1,116,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
249,0,-1,116,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
250,0,-1,132,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
251,0,-1,132,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
252,0,-1,152,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{\sqrt{\frac{e}{\cos\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((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^3, x)","F"
253,0,-1,152,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{1}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
254,0,-1,186,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^3),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^3), x)","F"
255,0,-1,192,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(15/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{15/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(15/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
256,0,-1,157,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(13/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{13/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(13/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
257,0,-1,163,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{11/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(11/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
258,0,-1,132,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
259,0,-1,132,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
260,0,-1,163,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
261,0,-1,163,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
262,0,-1,191,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^4,x)","\int \frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^4} \,d x","Not used",1,"int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^4, x)","F"
263,0,-1,69,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i), x)","F"
264,0,-1,67,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i), x)","F"
265,0,-1,67,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(d/cos(e + f*x))^(1/3),x)","\int \frac{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)/(d/cos(e + f*x))^(1/3), x)","F"
266,0,-1,69,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)/(d/cos(e + f*x))^(5/3),x)","\int \frac{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)/(d/cos(e + f*x))^(5/3), x)","F"
267,0,-1,71,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i)^2,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i)^2, x)","F"
268,0,-1,69,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i)^2,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i)^2, x)","F"
269,0,-1,83,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(d/cos(e + f*x))^(1/3),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^2/(d/cos(e + f*x))^(1/3), x)","F"
270,0,-1,85,0.000000,"\text{Not used}","int((a + a*tan(e + f*x)*1i)^2/(d/cos(e + f*x))^(5/3),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}} \,d x","Not used",1,"int((a + a*tan(e + f*x)*1i)^2/(d/cos(e + f*x))^(5/3), x)","F"
271,0,-1,83,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)/(a + a*tan(e + f*x)*1i),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}}{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)/(a + a*tan(e + f*x)*1i), x)","F"
272,0,-1,81,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)/(a + a*tan(e + f*x)*1i),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}}{a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)/(a + a*tan(e + f*x)*1i), x)","F"
273,0,-1,71,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i)),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i)), x)","F"
274,0,-1,71,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i)),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i)), x)","F"
275,0,-1,87,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)/(a + a*tan(e + f*x)*1i)^2, x)","F"
276,0,-1,87,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)/(a + a*tan(e + f*x)*1i)^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)/(a + a*tan(e + f*x)*1i)^2, x)","F"
277,0,-1,71,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i)^2),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(1/3)*(a + a*tan(e + f*x)*1i)^2), x)","F"
278,0,-1,71,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i)^2),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(5/3)*(a + a*tan(e + f*x)*1i)^2), x)","F"
279,1,474,117,12.117677,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x)^8,x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,4096{}\mathrm{i}}{6435\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{6435\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{2145\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{1287\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,40960{}\mathrm{i}}{1287\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,52736{}\mathrm{i}}{715\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,11776{}\mathrm{i}}{195\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{15\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*40960i)/(1287*d*(exp(c*2i + d*x*2i) + 1)^4) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2048i)/(6435*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(2145*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(1287*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*4096i)/(6435*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*52736i)/(715*d*(exp(c*2i + d*x*2i) + 1)^5) + ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*11776i)/(195*d*(exp(c*2i + d*x*2i) + 1)^6) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(15*d*(exp(c*2i + d*x*2i) + 1)^7)","B"
280,1,352,88,7.014926,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x)^6,x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{693\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{693\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{231\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,7232{}\mathrm{i}}{693\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1472{}\mathrm{i}}{99\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{11\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*7232i)/(693*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(693*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(231*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(693*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1472i)/(99*d*(exp(c*2i + d*x*2i) + 1)^4) + ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(11*d*(exp(c*2i + d*x*2i) + 1)^5)","B"
281,1,230,59,6.253122,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x)^4,x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{35\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{35\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{35\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(35*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(35*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(35*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(7*d*(exp(c*2i + d*x*2i) + 1)^3)","B"
282,1,82,29,0.575088,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x)^2,x)","-\frac{\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,2{}\mathrm{i}}{3\,d\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)}","Not used",1,"-((cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*2i)/(3*d*(cos(2*c + 2*d*x) + 1))","B"
283,0,-1,120,0.000000,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\cos\left(c+d\,x\right)}^2\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
284,0,-1,193,0.000000,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\cos\left(c+d\,x\right)}^4\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
285,0,-1,266,0.000000,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\cos\left(c+d\,x\right)}^6\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
286,1,289,147,8.353830,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x)^7,x)","\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{7\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,384{}\mathrm{i}}{11\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{13\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"(exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(7*d*(exp(c*2i + d*x*2i) + 1)^3) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(3*d*(exp(c*2i + d*x*2i) + 1)^4) + (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*384i)/(11*d*(exp(c*2i + d*x*2i) + 1)^5) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(13*d*(exp(c*2i + d*x*2i) + 1)^6)","B"
287,1,102,110,6.077557,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x)^5,x)","\frac{32\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,36{}\mathrm{i}+{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}\,63{}\mathrm{i}+8{}\mathrm{i}\right)}{315\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(32*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*(exp(c*2i + d*x*2i)*36i + exp(c*4i + d*x*4i)*63i + 8i))/(315*d*(exp(c*2i + d*x*2i) + 1)^4)","B"
288,1,88,73,5.945028,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x)^3,x)","\frac{8\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,5{}\mathrm{i}+2{}\mathrm{i}\right)\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}}{15\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"(8*exp(- c*1i - d*x*1i)*(exp(c*2i + d*x*2i)*5i + 2i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2))/(15*d*(exp(c*2i + d*x*2i) + 1)^2)","B"
289,1,61,31,0.351663,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/cos(c + d*x),x)","\frac{2\,\left(\sin\left(c+d\,x\right)+\cos\left(c+d\,x\right)\,1{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}{d}","Not used",1,"(2*(cos(c + d*x)*1i + sin(c + d*x))*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))/d","B"
290,0,-1,83,0.000000,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \cos\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
291,0,-1,154,0.000000,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\cos\left(c+d\,x\right)}^3\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
292,0,-1,223,0.000000,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\cos\left(c+d\,x\right)}^5\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
293,1,544,117,16.022708,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cos(c + d*x)^8,x)","-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,8192{}\mathrm{i}}{12155\,d}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,4096{}\mathrm{i}}{12155\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,3072{}\mathrm{i}}{12155\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{2431\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,155136{}\mathrm{i}}{2431\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2413568{}\mathrm{i}}{12155\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,270336{}\mathrm{i}}{1105\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,11776{}\mathrm{i}}{85\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}+\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{17\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^8}","Not used",1,"(a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*155136i)/(2431*d*(exp(c*2i + d*x*2i) + 1)^4) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*4096i)/(12155*d*(exp(c*2i + d*x*2i) + 1)) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*3072i)/(12155*d*(exp(c*2i + d*x*2i) + 1)^2) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(2431*d*(exp(c*2i + d*x*2i) + 1)^3) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*8192i)/(12155*d) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2413568i)/(12155*d*(exp(c*2i + d*x*2i) + 1)^5) + (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*270336i)/(1105*d*(exp(c*2i + d*x*2i) + 1)^6) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*11776i)/(85*d*(exp(c*2i + d*x*2i) + 1)^7) + (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(17*d*(exp(c*2i + d*x*2i) + 1)^8)","B"
294,1,420,88,7.306071,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cos(c + d*x)^6,x)","-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{1287\,d}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{1287\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{429\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,27136{}\mathrm{i}}{1287\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,58624{}\mathrm{i}}{1287\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,5120{}\mathrm{i}}{143\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{13\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"(a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*27136i)/(1287*d*(exp(c*2i + d*x*2i) + 1)^3) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(1287*d*(exp(c*2i + d*x*2i) + 1)) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(429*d*(exp(c*2i + d*x*2i) + 1)^2) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(1287*d) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*58624i)/(1287*d*(exp(c*2i + d*x*2i) + 1)^4) + (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*5120i)/(143*d*(exp(c*2i + d*x*2i) + 1)^5) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(13*d*(exp(c*2i + d*x*2i) + 1)^6)","B"
295,1,296,59,6.097866,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cos(c + d*x)^4,x)","-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{63\,d}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{63\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}+\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,160{}\mathrm{i}}{21\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,608{}\mathrm{i}}{63\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{9\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*160i)/(21*d*(exp(c*2i + d*x*2i) + 1)^2) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(63*d*(exp(c*2i + d*x*2i) + 1)) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(63*d) - (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*608i)/(63*d*(exp(c*2i + d*x*2i) + 1)^3) + (a*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(9*d*(exp(c*2i + d*x*2i) + 1)^4)","B"
296,1,153,29,1.364559,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cos(c + d*x)^2,x)","-\frac{4\,a\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,7{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,4{}\mathrm{i}+\cos\left(6\,c+6\,d\,x\right)\,1{}\mathrm{i}-5\,\sin\left(2\,c+2\,d\,x\right)-4\,\sin\left(4\,c+4\,d\,x\right)-\sin\left(6\,c+6\,d\,x\right)+4{}\mathrm{i}\right)}{5\,d\,\left(15\,\cos\left(2\,c+2\,d\,x\right)+6\,\cos\left(4\,c+4\,d\,x\right)+\cos\left(6\,c+6\,d\,x\right)+10\right)}","Not used",1,"-(4*a*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*7i + cos(4*c + 4*d*x)*4i + cos(6*c + 6*d*x)*1i - 5*sin(2*c + 2*d*x) - 4*sin(4*c + 4*d*x) - sin(6*c + 6*d*x) + 4i))/(5*d*(15*cos(2*c + 2*d*x) + 6*cos(4*c + 4*d*x) + cos(6*c + 6*d*x) + 10))","B"
297,0,-1,93,0.000000,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\cos\left(c+d\,x\right)}^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
298,0,-1,166,0.000000,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\cos\left(c+d\,x\right)}^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
299,0,-1,239,0.000000,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\cos\left(c+d\,x\right)}^6\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
300,1,293,147,7.248718,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cos(c + d*x)^5,x)","\frac{a\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{5\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,192{}\mathrm{i}}{7\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{a\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{11\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"(a*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(5*d*(exp(c*2i + d*x*2i) + 1)^2) - (a*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*192i)/(7*d*(exp(c*2i + d*x*2i) + 1)^3) + (a*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(3*d*(exp(c*2i + d*x*2i) + 1)^4) - (a*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(11*d*(exp(c*2i + d*x*2i) + 1)^5)","B"
301,1,103,110,6.022302,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cos(c + d*x)^3,x)","\frac{16\,a\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,28{}\mathrm{i}+{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}\,35{}\mathrm{i}+8{}\mathrm{i}\right)}{105\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(16*a*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*(exp(c*2i + d*x*2i)*28i + exp(c*4i + d*x*4i)*35i + 8i))/(105*d*(exp(c*2i + d*x*2i) + 1)^3)","B"
302,1,98,69,4.488335,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/cos(c + d*x),x)","\frac{2\,a\,\sqrt{\frac{a\,\left(2\,{\cos\left(c+d\,x\right)}^2+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(c+d\,x\right)}^2}}\,\left({\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,8{}\mathrm{i}+{\cos\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}^2\,2{}\mathrm{i}+\sin\left(c+d\,x\right)+\sin\left(3\,c+3\,d\,x\right)-5{}\mathrm{i}\right)}{3\,d\,{\cos\left(c+d\,x\right)}^2}","Not used",1,"(2*a*((a*(sin(2*c + 2*d*x)*1i + 2*cos(c + d*x)^2))/(2*cos(c + d*x)^2))^(1/2)*(sin(c + d*x) + sin(3*c + 3*d*x) + cos(c/2 + (d*x)/2)^2*8i + cos((3*c)/2 + (3*d*x)/2)^2*2i - 5i))/(3*d*cos(c + d*x)^2)","B"
303,1,60,31,0.230664,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(3/2),x)","-\frac{a\,\left(2\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)\,\sqrt{\frac{a\,\left(2\,{\cos\left(c+d\,x\right)}^2+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(c+d\,x\right)}^2}}\,2{}\mathrm{i}}{d}","Not used",1,"-(a*(2*cos(c/2 + (d*x)/2)^2 - 1)*((a*(sin(2*c + 2*d*x)*1i + 2*cos(c + d*x)^2))/(2*cos(c + d*x)^2))^(1/2)*2i)/d","B"
304,0,-1,122,0.000000,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\cos\left(c+d\,x\right)}^3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
305,0,-1,192,0.000000,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\cos\left(c+d\,x\right)}^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
306,1,626,117,15.904245,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/cos(c + d*x)^8,x)","-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16384{}\mathrm{i}}{20995\,d}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,8192{}\mathrm{i}}{20995\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,6144{}\mathrm{i}}{20995\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{4199\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,536576{}\mathrm{i}}{4199\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,10484736{}\mathrm{i}}{20995\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,17262592{}\mathrm{i}}{20995\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1129472{}\mathrm{i}}{1615\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,98304{}\mathrm{i}}{323\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^8}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{19\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^9}","Not used",1,"(a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*536576i)/(4199*d*(exp(c*2i + d*x*2i) + 1)^4) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*8192i)/(20995*d*(exp(c*2i + d*x*2i) + 1)) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*6144i)/(20995*d*(exp(c*2i + d*x*2i) + 1)^2) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(4199*d*(exp(c*2i + d*x*2i) + 1)^3) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16384i)/(20995*d) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*10484736i)/(20995*d*(exp(c*2i + d*x*2i) + 1)^5) + (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*17262592i)/(20995*d*(exp(c*2i + d*x*2i) + 1)^6) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1129472i)/(1615*d*(exp(c*2i + d*x*2i) + 1)^7) + (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*98304i)/(323*d*(exp(c*2i + d*x*2i) + 1)^8) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(19*d*(exp(c*2i + d*x*2i) + 1)^9)","B"
307,1,498,88,11.316012,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/cos(c + d*x)^6,x)","-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{2145\,d}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{2145\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{715\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,18176{}\mathrm{i}}{429\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,52736{}\mathrm{i}}{429\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,103936{}\mathrm{i}}{715\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,15616{}\mathrm{i}}{195\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{15\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}","Not used",1,"(a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*18176i)/(429*d*(exp(c*2i + d*x*2i) + 1)^3) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(2145*d*(exp(c*2i + d*x*2i) + 1)) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(715*d*(exp(c*2i + d*x*2i) + 1)^2) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2048i)/(2145*d) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*52736i)/(429*d*(exp(c*2i + d*x*2i) + 1)^4) + (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*103936i)/(715*d*(exp(c*2i + d*x*2i) + 1)^5) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*15616i)/(195*d*(exp(c*2i + d*x*2i) + 1)^6) + (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(15*d*(exp(c*2i + d*x*2i) + 1)^7)","B"
308,1,370,59,6.420795,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/cos(c + d*x)^4,x)","-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{99\,d}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{99\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{33\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2944{}\mathrm{i}}{99\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2176{}\mathrm{i}}{99\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{11\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"(a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(33*d*(exp(c*2i + d*x*2i) + 1)^2) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(99*d*(exp(c*2i + d*x*2i) + 1)) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(99*d) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2944i)/(99*d*(exp(c*2i + d*x*2i) + 1)^3) + (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2176i)/(99*d*(exp(c*2i + d*x*2i) + 1)^4) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(11*d*(exp(c*2i + d*x*2i) + 1)^5)","B"
309,1,242,29,6.354240,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/cos(c + d*x)^2,x)","-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,d}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,48{}\mathrm{i}}{7\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,48{}\mathrm{i}}{7\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{a^2\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*48i)/(7*d*(exp(c*2i + d*x*2i) + 1)) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(7*d) - (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*48i)/(7*d*(exp(c*2i + d*x*2i) + 1)^2) + (a^2*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(7*d*(exp(c*2i + d*x*2i) + 1)^3)","B"
310,0,-1,89,0.000000,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\cos\left(c+d\,x\right)}^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
311,0,-1,137,0.000000,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\cos\left(c+d\,x\right)}^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
312,0,-1,210,0.000000,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\cos\left(c+d\,x\right)}^6\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
313,1,301,147,7.774765,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/cos(c + d*x)^3,x)","\frac{a^2\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{3\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a^2\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,96{}\mathrm{i}}{5\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{a^2\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,96{}\mathrm{i}}{7\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{a^2\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{9\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(a^2*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(3*d*(exp(c*2i + d*x*2i) + 1)) - (a^2*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*96i)/(5*d*(exp(c*2i + d*x*2i) + 1)^2) + (a^2*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*96i)/(7*d*(exp(c*2i + d*x*2i) + 1)^3) - (a^2*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(9*d*(exp(c*2i + d*x*2i) + 1)^4)","B"
314,1,105,104,6.082856,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/cos(c + d*x),x)","\frac{8\,a^2\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,20{}\mathrm{i}+{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}\,15{}\mathrm{i}+8{}\mathrm{i}\right)}{15\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"(8*a^2*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*(exp(c*2i + d*x*2i)*20i + exp(c*4i + d*x*4i)*15i + 8i))/(15*d*(exp(c*2i + d*x*2i) + 1)^2)","B"
315,1,64,65,0.392699,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{2\,a^2\,\left(\sin\left(c+d\,x\right)+\cos\left(c+d\,x\right)\,3{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}{d}","Not used",1,"-(2*a^2*(cos(c + d*x)*3i + sin(c + d*x))*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))/d","B"
316,1,89,35,0.908400,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(5/2),x)","-\frac{a^2\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(-\sin\left(c+d\,x\right)-\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,3{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}{6\,d}","Not used",1,"-(a^2*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*3i - sin(c + d*x) + cos(3*c + 3*d*x)*1i - sin(3*c + 3*d*x)))/(6*d)","B"
317,0,-1,159,0.000000,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\cos\left(c+d\,x\right)}^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
318,0,-1,231,0.000000,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\cos\left(c+d\,x\right)}^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
319,1,690,117,15.040478,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(7/2)/cos(c + d*x)^8,x)","-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32768{}\mathrm{i}}{33915\,d}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16384{}\mathrm{i}}{33915\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,4096{}\mathrm{i}}{11305\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{6783\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,247808{}\mathrm{i}}{969\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1943552{}\mathrm{i}}{1615\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,12019712{}\mathrm{i}}{4845\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,95516672{}\mathrm{i}}{33915\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,4159488{}\mathrm{i}}{2261\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^8}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,260096{}\mathrm{i}}{399\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^9}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{21\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^{10}}","Not used",1,"(a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*247808i)/(969*d*(exp(c*2i + d*x*2i) + 1)^4) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16384i)/(33915*d*(exp(c*2i + d*x*2i) + 1)) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*4096i)/(11305*d*(exp(c*2i + d*x*2i) + 1)^2) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2048i)/(6783*d*(exp(c*2i + d*x*2i) + 1)^3) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32768i)/(33915*d) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1943552i)/(1615*d*(exp(c*2i + d*x*2i) + 1)^5) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*12019712i)/(4845*d*(exp(c*2i + d*x*2i) + 1)^6) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*95516672i)/(33915*d*(exp(c*2i + d*x*2i) + 1)^7) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*4159488i)/(2261*d*(exp(c*2i + d*x*2i) + 1)^8) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*260096i)/(399*d*(exp(c*2i + d*x*2i) + 1)^9) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2048i)/(21*d*(exp(c*2i + d*x*2i) + 1)^10)","B"
320,1,562,88,15.660690,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(7/2)/cos(c + d*x)^6,x)","-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,4096{}\mathrm{i}}{3315\,d}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{3315\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{1105\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,56320{}\mathrm{i}}{663\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,205312{}\mathrm{i}}{663\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,540672{}\mathrm{i}}{1105\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1341952{}\mathrm{i}}{3315\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,44032{}\mathrm{i}}{255\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{17\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^8}","Not used",1,"(a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*56320i)/(663*d*(exp(c*2i + d*x*2i) + 1)^3) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2048i)/(3315*d*(exp(c*2i + d*x*2i) + 1)) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(1105*d*(exp(c*2i + d*x*2i) + 1)^2) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*4096i)/(3315*d) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*205312i)/(663*d*(exp(c*2i + d*x*2i) + 1)^4) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*540672i)/(1105*d*(exp(c*2i + d*x*2i) + 1)^5) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1341952i)/(3315*d*(exp(c*2i + d*x*2i) + 1)^6) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*44032i)/(255*d*(exp(c*2i + d*x*2i) + 1)^7) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(17*d*(exp(c*2i + d*x*2i) + 1)^8)","B"
321,1,434,59,7.565749,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(7/2)/cos(c + d*x)^4,x)","-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{143\,d}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{143\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,4480{}\mathrm{i}}{143\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,11520{}\mathrm{i}}{143\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,12800{}\mathrm{i}}{143\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,6784{}\mathrm{i}}{143\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{13\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"(a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*4480i)/(143*d*(exp(c*2i + d*x*2i) + 1)^2) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(143*d*(exp(c*2i + d*x*2i) + 1)) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(143*d) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*11520i)/(143*d*(exp(c*2i + d*x*2i) + 1)^3) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*12800i)/(143*d*(exp(c*2i + d*x*2i) + 1)^4) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*6784i)/(143*d*(exp(c*2i + d*x*2i) + 1)^5) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(13*d*(exp(c*2i + d*x*2i) + 1)^6)","B"
322,1,306,29,6.282842,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(7/2)/cos(c + d*x)^2,x)","-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{9\,d}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{9\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{9\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{a^3\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{9\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(9*d*(exp(c*2i + d*x*2i) + 1)) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(9*d) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(3*d*(exp(c*2i + d*x*2i) + 1)^2) + (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(9*d*(exp(c*2i + d*x*2i) + 1)^3) - (a^3*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(9*d*(exp(c*2i + d*x*2i) + 1)^4)","B"
323,0,-1,116,0.000000,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(7/2),x)","\int {\cos\left(c+d\,x\right)}^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2} \,d x","Not used",1,"int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
324,0,-1,137,0.000000,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(7/2),x)","\int {\cos\left(c+d\,x\right)}^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2} \,d x","Not used",1,"int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
325,0,-1,181,0.000000,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(7/2),x)","\int {\cos\left(c+d\,x\right)}^6\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2} \,d x","Not used",1,"int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
326,1,286,139,6.003834,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(7/2)/cos(c + d*x),x)","\frac{a^3\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{d}-\frac{a^3\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}+\frac{a^3\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,48{}\mathrm{i}}{5\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{a^3\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(a^3*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/d - (a^3*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(d*(exp(c*2i + d*x*2i) + 1)) + (a^3*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*48i)/(5*d*(exp(c*2i + d*x*2i) + 1)^2) - (a^3*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(7*d*(exp(c*2i + d*x*2i) + 1)^3)","B"
327,1,102,104,4.717637,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(7/2),x)","-\frac{2\,a^3\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(5\,\sin\left(c+d\,x\right)+5\,\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,35{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,11{}\mathrm{i}\right)}{3\,d\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)}","Not used",1,"-(2*a^3*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*35i + 5*sin(c + d*x) + cos(3*c + 3*d*x)*11i + 5*sin(3*c + 3*d*x)))/(3*d*(cos(2*c + 2*d*x) + 1))","B"
328,1,85,71,0.853491,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(7/2),x)","\frac{a^3\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\sin\left(c+d\,x\right)+\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,3{}\mathrm{i}-\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}{3\,d}","Not used",1,"(a^3*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*3i + sin(c + d*x) - cos(3*c + 3*d*x)*1i + sin(3*c + 3*d*x)))/(3*d)","B"
329,1,112,35,5.255304,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(7/2),x)","-\frac{a^3\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(-2\,\sin\left(c+d\,x\right)-3\,\sin\left(3\,c+3\,d\,x\right)-\sin\left(5\,c+5\,d\,x\right)+\cos\left(c+d\,x\right)\,4{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,3{}\mathrm{i}+\cos\left(5\,c+5\,d\,x\right)\,1{}\mathrm{i}\right)}{20\,d}","Not used",1,"-(a^3*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*4i - 2*sin(c + d*x) + cos(3*c + 3*d*x)*3i + cos(5*c + 5*d*x)*1i - 3*sin(3*c + 3*d*x) - sin(5*c + 5*d*x)))/(20*d)","B"
330,0,-1,196,0.000000,"\text{Not used}","int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(7/2),x)","\int {\cos\left(c+d\,x\right)}^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2} \,d x","Not used",1,"int(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
331,0,-1,268,0.000000,"\text{Not used}","int(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^(7/2),x)","\int {\cos\left(c+d\,x\right)}^9\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2} \,d x","Not used",1,"int(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
332,0,-1,342,0.000000,"\text{Not used}","int(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^(7/2),x)","\int {\cos\left(c+d\,x\right)}^{11}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2} \,d x","Not used",1,"int(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
333,1,434,117,8.938872,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^(1/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{3003\,a\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{3003\,a\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{1001\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,640{}\mathrm{i}}{3003\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,6784{}\mathrm{i}}{429\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,3456{}\mathrm{i}}{143\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{13\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*6784i)/(429*a*d*(exp(c*2i + d*x*2i) + 1)^4) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(3003*a*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(1001*a*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*640i)/(3003*a*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2048i)/(3003*a*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*3456i)/(143*a*d*(exp(c*2i + d*x*2i) + 1)^5) + ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(13*a*d*(exp(c*2i + d*x*2i) + 1)^6)","B"
334,1,306,88,6.378181,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(1/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{315\,a\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{315\,a\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{105\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,320{}\mathrm{i}}{63\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{9\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*320i)/(63*a*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(315*a*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(105*a*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(315*a*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(9*a*d*(exp(c*2i + d*x*2i) + 1)^4)","B"
335,1,155,59,1.313999,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(1/2)),x)","-\frac{8\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,27{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,9{}\mathrm{i}+\cos\left(6\,c+6\,d\,x\right)\,1{}\mathrm{i}-5\,\sin\left(2\,c+2\,d\,x\right)-4\,\sin\left(4\,c+4\,d\,x\right)-\sin\left(6\,c+6\,d\,x\right)+19{}\mathrm{i}\right)}{15\,a\,d\,\left(15\,\cos\left(2\,c+2\,d\,x\right)+6\,\cos\left(4\,c+4\,d\,x\right)+\cos\left(6\,c+6\,d\,x\right)+10\right)}","Not used",1,"-(8*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*27i + cos(4*c + 4*d*x)*9i + cos(6*c + 6*d*x)*1i - 5*sin(2*c + 2*d*x) - 4*sin(4*c + 4*d*x) - sin(6*c + 6*d*x) + 19i))/(15*a*d*(15*cos(2*c + 2*d*x) + 6*cos(4*c + 4*d*x) + cos(6*c + 6*d*x) + 10))","B"
336,1,47,27,0.163446,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(1/2)),x)","-\frac{\sqrt{\frac{a\,\left(2\,{\cos\left(c+d\,x\right)}^2+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(c+d\,x\right)}^2}}\,2{}\mathrm{i}}{a\,d}","Not used",1,"-(((a*(sin(2*c + 2*d*x)*1i + 2*cos(c + d*x)^2))/(2*cos(c + d*x)^2))^(1/2)*2i)/(a*d)","B"
337,0,-1,146,0.000000,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^2}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
338,0,-1,219,0.000000,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^4}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
339,0,-1,292,0.000000,"\text{Not used}","int(cos(c + d*x)^6/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^6}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cos(c + d*x)^6/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
340,1,301,147,8.975640,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{9\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,768{}\mathrm{i}}{11\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,768{}\mathrm{i}}{13\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{15\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}","Not used",1,"(exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(9*a*d*(exp(c*2i + d*x*2i) + 1)^4) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*768i)/(11*a*d*(exp(c*2i + d*x*2i) + 1)^5) + (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*768i)/(13*a*d*(exp(c*2i + d*x*2i) + 1)^6) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(15*a*d*(exp(c*2i + d*x*2i) + 1)^7)","B"
341,1,105,110,6.155828,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{64\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,44{}\mathrm{i}+{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}\,99{}\mathrm{i}+8{}\mathrm{i}\right)}{693\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"(64*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*(exp(c*2i + d*x*2i)*44i + exp(c*4i + d*x*4i)*99i + 8i))/(693*a*d*(exp(c*2i + d*x*2i) + 1)^5)","B"
342,1,91,73,9.264427,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{16\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,7{}\mathrm{i}+2{}\mathrm{i}\right)\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}}{35\,a\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(16*exp(- c*1i - d*x*1i)*(exp(c*2i + d*x*2i)*7i + 2i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2))/(35*a*d*(exp(c*2i + d*x*2i) + 1)^3)","B"
343,1,98,35,1.019377,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{2\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\sin\left(c+d\,x\right)+\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,1{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}{3\,a\,d\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)}","Not used",1,"(2*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*1i + sin(c + d*x) + cos(3*c + 3*d*x)*1i + sin(3*c + 3*d*x)))/(3*a*d*(cos(2*c + 2*d*x) + 1))","B"
344,0,-1,52,0.000000,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{\cos\left(c+d\,x\right)\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
345,0,-1,122,0.000000,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{\cos\left(c+d\,x\right)}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
346,0,-1,193,0.000000,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^3}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
347,1,370,117,7.642746,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^(3/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{1155\,a^2\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{1155\,a^2\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{385\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{231\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{33\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{11\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(33*a^2*d*(exp(c*2i + d*x*2i) + 1)^4) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(1155*a^2*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(385*a^2*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(231*a^2*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(1155*a^2*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(11*a^2*d*(exp(c*2i + d*x*2i) + 1)^5)","B"
348,1,242,88,6.676413,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(3/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{105\,a^2\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{105\,a^2\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{35\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(7*a^2*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(105*a^2*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(35*a^2*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(105*a^2*d)","B"
349,1,85,57,3.657556,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(3/2)),x)","-\frac{2\,\left(\cos\left(2\,c+2\,d\,x\right)\,5{}\mathrm{i}+\sin\left(2\,c+2\,d\,x\right)+5{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}{3\,a^2\,d\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)}","Not used",1,"-(2*(cos(2*c + 2*d*x)*5i + sin(2*c + 2*d*x) + 5i)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))/(3*a^2*d*(cos(2*c + 2*d*x) + 1))","B"
350,1,67,27,0.244174,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{\left({\cos\left(c+d\,x\right)}^2\,2{}\mathrm{i}+\sin\left(2\,c+2\,d\,x\right)\right)\,\sqrt{\frac{a\,\left(2\,{\cos\left(c+d\,x\right)}^2+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(c+d\,x\right)}^2}}}{a^2\,d}","Not used",1,"((sin(2*c + 2*d*x) + cos(c + d*x)^2*2i)*((a*(sin(2*c + 2*d*x)*1i + 2*cos(c + d*x)^2))/(2*cos(c + d*x)^2))^(1/2))/(a^2*d)","B"
351,0,-1,175,0.000000,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^2}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
352,0,-1,248,0.000000,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^4}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
353,0,-1,321,0.000000,"\text{Not used}","int(cos(c + d*x)^6/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^6}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(cos(c + d*x)^6/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
354,1,301,147,9.861581,"\text{Not used}","int(1/(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{11\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1536{}\mathrm{i}}{13\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}+\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{5\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{17\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^8}","Not used",1,"(exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(11*a^2*d*(exp(c*2i + d*x*2i) + 1)^5) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1536i)/(13*a^2*d*(exp(c*2i + d*x*2i) + 1)^6) + (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(5*a^2*d*(exp(c*2i + d*x*2i) + 1)^7) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(17*a^2*d*(exp(c*2i + d*x*2i) + 1)^8)","B"
355,1,105,110,8.297116,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{128\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,52{}\mathrm{i}+{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}\,143{}\mathrm{i}+8{}\mathrm{i}\right)}{1287\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"(128*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*(exp(c*2i + d*x*2i)*52i + exp(c*4i + d*x*4i)*143i + 8i))/(1287*a^2*d*(exp(c*2i + d*x*2i) + 1)^6)","B"
356,1,91,73,6.437467,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{32\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,9{}\mathrm{i}+2{}\mathrm{i}\right)\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}}{63\,a^2\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(32*exp(- c*1i - d*x*1i)*(exp(c*2i + d*x*2i)*9i + 2i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2))/(63*a^2*d*(exp(c*2i + d*x*2i) + 1)^4)","B"
357,1,139,35,1.699237,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{\left(\cos\left(d\,x\right)-\sin\left(d\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(c\right)-\sin\left(c\right)\,1{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(2\,\cos\left(2\,c+2\,d\,x\right)+\cos\left(4\,c+4\,d\,x\right)+1-\sin\left(2\,c+2\,d\,x\right)\,2{}\mathrm{i}-\sin\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}\right)\,4{}\mathrm{i}}{5\,a^2\,d\,\left(4\,\cos\left(2\,c+2\,d\,x\right)+\cos\left(4\,c+4\,d\,x\right)+3\right)}","Not used",1,"((cos(d*x) - sin(d*x)*1i)*(cos(c) - sin(c)*1i)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(2*cos(2*c + 2*d*x) + cos(4*c + 4*d*x) - sin(2*c + 2*d*x)*2i - sin(4*c + 4*d*x)*1i + 1)*4i)/(5*a^2*d*(4*cos(2*c + 2*d*x) + cos(4*c + 4*d*x) + 3))","B"
358,0,-1,86,0.000000,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{{\cos\left(c+d\,x\right)}^3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
359,0,-1,87,0.000000,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\int \frac{1}{\cos\left(c+d\,x\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(3/2)), x)","F"
360,0,-1,157,0.000000,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{\cos\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(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
361,0,-1,233,0.000000,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^3}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
362,1,434,146,8.762478,"\text{Not used}","int(1/(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^(5/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16384{}\mathrm{i}}{15015\,a^3\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,8192{}\mathrm{i}}{15015\,a^3\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{5005\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{3003\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{429\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1792{}\mathrm{i}}{143\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{13\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1792i)/(143*a^3*d*(exp(c*2i + d*x*2i) + 1)^5) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*8192i)/(15015*a^3*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*2048i)/(5005*a^3*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(3003*a^3*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(429*a^3*d*(exp(c*2i + d*x*2i) + 1)^4) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16384i)/(15015*a^3*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(13*a^3*d*(exp(c*2i + d*x*2i) + 1)^6)","B"
363,1,306,117,6.678973,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^(5/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{315\,a^3\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{315\,a^3\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{105\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{63\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{9\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(9*a^3*d*(exp(c*2i + d*x*2i) + 1)^4) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(315*a^3*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(105*a^3*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*32i)/(63*a^3*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(315*a^3*d)","B"
364,1,155,86,1.228334,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(5/2)),x)","-\frac{4\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,321{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,132{}\mathrm{i}+\cos\left(6\,c+6\,d\,x\right)\,23{}\mathrm{i}+35\,\sin\left(2\,c+2\,d\,x\right)+28\,\sin\left(4\,c+4\,d\,x\right)+7\,\sin\left(6\,c+6\,d\,x\right)+212{}\mathrm{i}\right)}{15\,a^3\,d\,\left(15\,\cos\left(2\,c+2\,d\,x\right)+6\,\cos\left(4\,c+4\,d\,x\right)+\cos\left(6\,c+6\,d\,x\right)+10\right)}","Not used",1,"-(4*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*321i + cos(4*c + 4*d*x)*132i + cos(6*c + 6*d*x)*23i + 35*sin(2*c + 2*d*x) + 28*sin(4*c + 4*d*x) + 7*sin(6*c + 6*d*x) + 212i))/(15*a^3*d*(15*cos(2*c + 2*d*x) + 6*cos(4*c + 4*d*x) + cos(6*c + 6*d*x) + 10))","B"
365,1,72,55,0.274644,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{2\,\left(\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+\sin\left(2\,c+2\,d\,x\right)+2{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}{a^3\,d}","Not used",1,"(2*(cos(2*c + 2*d*x)*1i + sin(2*c + 2*d*x) + 2i)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))/(a^3*d)","B"
366,1,23,29,3.584378,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{2{}\mathrm{i}}{3\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}","Not used",1,"2i/(3*a*d*(a + a*tan(c + d*x)*1i)^(3/2))","B"
367,0,-1,204,0.000000,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^2}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
368,0,-1,277,0.000000,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^4}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
369,1,301,147,11.588806,"\text{Not used}","int(1/(cos(c + d*x)^13*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{13\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{5\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}+\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,3072{}\mathrm{i}}{17\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^8}-\frac{{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{19\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^9}","Not used",1,"(exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(13*a^3*d*(exp(c*2i + d*x*2i) + 1)^6) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(5*a^3*d*(exp(c*2i + d*x*2i) + 1)^7) + (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*3072i)/(17*a^3*d*(exp(c*2i + d*x*2i) + 1)^8) - (exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(19*a^3*d*(exp(c*2i + d*x*2i) + 1)^9)","B"
370,1,105,110,8.750625,"\text{Not used}","int(1/(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{256\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,60{}\mathrm{i}+{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}\,195{}\mathrm{i}+8{}\mathrm{i}\right)}{2145\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^7}","Not used",1,"(256*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*(exp(c*2i + d*x*2i)*60i + exp(c*4i + d*x*4i)*195i + 8i))/(2145*a^3*d*(exp(c*2i + d*x*2i) + 1)^7)","B"
371,1,91,73,6.383743,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{64\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,11{}\mathrm{i}+2{}\mathrm{i}\right)\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}}{99\,a^3\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"(64*exp(- c*1i - d*x*1i)*(exp(c*2i + d*x*2i)*11i + 2i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2))/(99*a^3*d*(exp(c*2i + d*x*2i) + 1)^5)","B"
372,1,50,35,2.016229,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{{\mathrm{e}}^{-c\,4{}\mathrm{i}-d\,x\,4{}\mathrm{i}}\,\sqrt{a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}}\,2{}\mathrm{i}}{7\,a^3\,d\,{\cos\left(c+d\,x\right)}^3}","Not used",1,"(exp(- c*4i - d*x*4i)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^(1/2)*2i)/(7*a^3*d*cos(c + d*x)^3)","B"
373,0,-1,123,0.000000,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{{\cos\left(c+d\,x\right)}^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
374,0,-1,86,0.000000,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{{\cos\left(c+d\,x\right)}^3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
375,0,-1,122,0.000000,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\int \frac{1}{\cos\left(c+d\,x\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(5/2)), x)","F"
376,0,-1,192,0.000000,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{\cos\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(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
377,0,-1,270,0.000000,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^3}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
378,1,370,146,7.626356,"\text{Not used}","int(1/(cos(c + d*x)^10*(a + a*tan(c + d*x)*1i)^(7/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,8192{}\mathrm{i}}{3465\,a^4\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,4096{}\mathrm{i}}{3465\,a^4\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,1024{}\mathrm{i}}{1155\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{693\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{99\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{11\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(11*a^4*d*(exp(c*2i + d*x*2i) + 1)^5) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*4096i)/(3465*a^4*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*1024i)/(1155*a^4*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*512i)/(693*a^4*d*(exp(c*2i + d*x*2i) + 1)^3) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*64i)/(99*a^4*d*(exp(c*2i + d*x*2i) + 1)^4) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*8192i)/(3465*a^4*d)","B"
379,1,242,113,6.736456,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + a*tan(c + d*x)*1i)^(7/2)),x)","-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{35\,a^4\,d}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,128{}\mathrm{i}}{35\,a^4\,d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,96{}\mathrm{i}}{35\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"- ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*256i)/(35*a^4*d) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*128i)/(35*a^4*d*(exp(c*2i + d*x*2i) + 1)) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*96i)/(35*a^4*d*(exp(c*2i + d*x*2i) + 1)^2) - ((a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*16i)/(7*a^4*d*(exp(c*2i + d*x*2i) + 1)^3)","B"
380,1,110,84,0.742022,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\frac{2\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,23{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,3{}\mathrm{i}+7\,\sin\left(2\,c+2\,d\,x\right)+3\,\sin\left(4\,c+4\,d\,x\right)+20{}\mathrm{i}\right)}{3\,a^4\,d\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)}","Not used",1,"(2*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*23i + cos(4*c + 4*d*x)*3i + 7*sin(2*c + 2*d*x) + 3*sin(4*c + 4*d*x) + 20i))/(3*a^4*d*(cos(2*c + 2*d*x) + 1))","B"
381,0,-1,57,0.000000,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\int \frac{1}{{\cos\left(c+d\,x\right)}^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^(7/2)), x)","F"
382,1,23,29,3.639381,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\frac{2{}\mathrm{i}}{5\,a\,d\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}","Not used",1,"2i/(5*a*d*(a + a*tan(c + d*x)*1i)^(5/2))","B"
383,0,-1,233,0.000000,"\text{Not used}","int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(7/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^2}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(cos(c + d*x)^2/(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
384,0,-1,306,0.000000,"\text{Not used}","int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(7/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^4}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(cos(c + d*x)^4/(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
385,1,105,110,9.275776,"\text{Not used}","int(1/(cos(c + d*x)^13*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\frac{512\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,68{}\mathrm{i}+{\mathrm{e}}^{c\,4{}\mathrm{i}+d\,x\,4{}\mathrm{i}}\,255{}\mathrm{i}+8{}\mathrm{i}\right)}{3315\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^8}","Not used",1,"(512*exp(- c*1i - d*x*1i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2)*(exp(c*2i + d*x*2i)*68i + exp(c*4i + d*x*4i)*255i + 8i))/(3315*a^4*d*(exp(c*2i + d*x*2i) + 1)^8)","B"
386,1,91,73,6.623850,"\text{Not used}","int(1/(cos(c + d*x)^11*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\frac{128\,{\mathrm{e}}^{-c\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,13{}\mathrm{i}+2{}\mathrm{i}\right)\,\sqrt{a-\frac{a\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{{\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1}}}{143\,a^4\,d\,{\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"(128*exp(- c*1i - d*x*1i)*(exp(c*2i + d*x*2i)*13i + 2i)*(a - (a*(exp(c*2i + d*x*2i)*1i - 1i)*1i)/(exp(c*2i + d*x*2i) + 1))^(1/2))/(143*a^4*d*(exp(c*2i + d*x*2i) + 1)^6)","B"
387,1,50,35,6.489997,"\text{Not used}","int(1/(cos(c + d*x)^9*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\frac{{\mathrm{e}}^{-c\,5{}\mathrm{i}-d\,x\,5{}\mathrm{i}}\,\sqrt{a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}}\,2{}\mathrm{i}}{9\,a^4\,d\,{\cos\left(c+d\,x\right)}^4}","Not used",1,"(exp(- c*5i - d*x*5i)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^(1/2)*2i)/(9*a^4*d*cos(c + d*x)^4)","B"
388,0,-1,160,0.000000,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\int \frac{1}{{\cos\left(c+d\,x\right)}^7\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)^7*(a + a*tan(c + d*x)*1i)^(7/2)), x)","F"
389,0,-1,121,0.000000,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\int \frac{1}{{\cos\left(c+d\,x\right)}^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^(7/2)), x)","F"
390,0,-1,125,0.000000,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\int \frac{1}{{\cos\left(c+d\,x\right)}^3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^(7/2)), x)","F"
391,0,-1,157,0.000000,"\text{Not used}","int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(7/2)),x)","\int \frac{1}{\cos\left(c+d\,x\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(1/(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^(7/2)), x)","F"
392,0,-1,227,0.000000,"\text{Not used}","int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(7/2),x)","\int \frac{\cos\left(c+d\,x\right)}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(cos(c + d*x)/(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
393,0,-1,307,0.000000,"\text{Not used}","int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(7/2),x)","\int \frac{{\cos\left(c+d\,x\right)}^3}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2}} \,d x","Not used",1,"int(cos(c + d*x)^3/(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
394,0,-1,524,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
395,0,-1,323,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
396,0,-1,36,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e/cos(c + d*x))^(1/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/(e/cos(c + d*x))^(1/2), x)","F"
397,1,86,81,4.629720,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e/cos(c + d*x))^(3/2),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+2\,\sin\left(2\,c+2\,d\,x\right)+1{}\mathrm{i}\right)}{3\,d\,e^2}","Not used",1,"((e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*1i + 2*sin(2*c + 2*d*x) + 1i))/(3*d*e^2)","B"
398,1,101,122,4.681057,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e/cos(c + d*x))^(5/2),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(4\,\sin\left(c+d\,x\right)+4\,\sin\left(3\,c+3\,d\,x\right)-\cos\left(c+d\,x\right)\,29{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}{30\,d\,e^3}","Not used",1,"((e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(4*sin(c + d*x) - cos(c + d*x)*29i + cos(3*c + 3*d*x)*1i + 4*sin(3*c + 3*d*x)))/(30*d*e^3)","B"
399,1,109,164,5.159197,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e/cos(c + d*x))^(7/2),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,36{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}+76\,\sin\left(2\,c+2\,d\,x\right)+6\,\sin\left(4\,c+4\,d\,x\right)+35{}\mathrm{i}\right)}{140\,d\,e^4}","Not used",1,"((e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*36i + cos(4*c + 4*d*x)*1i + 76*sin(2*c + 2*d*x) + 6*sin(4*c + 4*d*x) + 35i))/(140*d*e^4)","B"
400,0,-1,453,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\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((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
401,0,-1,571,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\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((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
402,0,-1,364,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \sqrt{\frac{e}{\cos\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((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
403,0,-1,520,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/(e/cos(c + d*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/(e/cos(c + d*x))^(1/2), x)","F"
404,0,-1,38,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/(e/cos(c + d*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(3/2)/(e/cos(c + d*x))^(3/2), x)","F"
405,1,102,81,4.705471,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/(e/cos(c + d*x))^(5/2),x)","-\frac{a\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(-\sin\left(c+d\,x\right)-\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,11{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}{10\,d\,e^3}","Not used",1,"-(a*(e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*11i - sin(c + d*x) + cos(3*c + 3*d*x)*1i - sin(3*c + 3*d*x)))/(10*d*e^3)","B"
406,1,110,125,4.922661,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/(e/cos(c + d*x))^(7/2),x)","\frac{a\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,4{}\mathrm{i}-\cos\left(4\,c+4\,d\,x\right)\,3{}\mathrm{i}+38\,\sin\left(2\,c+2\,d\,x\right)+3\,\sin\left(4\,c+4\,d\,x\right)+7{}\mathrm{i}\right)}{84\,d\,e^4}","Not used",1,"(a*(e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*4i - cos(4*c + 4*d*x)*3i + 38*sin(2*c + 2*d*x) + 3*sin(4*c + 4*d*x) + 7i))/(84*d*e^4)","B"
407,1,125,167,5.584162,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(3/2)/(e/cos(c + d*x))^(9/2),x)","-\frac{a\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(-42\,\sin\left(c+d\,x\right)-47\,\sin\left(3\,c+3\,d\,x\right)-5\,\sin\left(5\,c+5\,d\,x\right)+\cos\left(c+d\,x\right)\,282{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,17{}\mathrm{i}+\cos\left(5\,c+5\,d\,x\right)\,5{}\mathrm{i}\right)}{360\,d\,e^5}","Not used",1,"-(a*(e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*282i - 42*sin(c + d*x) + cos(3*c + 3*d*x)*17i + cos(5*c + 5*d*x)*5i - 47*sin(3*c + 3*d*x) - 5*sin(5*c + 5*d*x)))/(360*d*e^5)","B"
408,0,-1,612,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\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((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
409,0,-1,411,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \sqrt{\frac{e}{\cos\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((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
410,0,-1,563,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(1/2), x)","F"
411,0,-1,362,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(3/2), x)","F"
412,1,104,38,4.553567,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(5/2),x)","-\frac{a^2\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(-\sin\left(c+d\,x\right)-\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,1{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}{5\,d\,e^3}","Not used",1,"-(a^2*(e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*1i - sin(c + d*x) + cos(3*c + 3*d*x)*1i - sin(3*c + 3*d*x)))/(5*d*e^3)","B"
413,1,112,81,4.992258,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(7/2),x)","-\frac{a^2\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,10{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,3{}\mathrm{i}-10\,\sin\left(2\,c+2\,d\,x\right)-3\,\sin\left(4\,c+4\,d\,x\right)+7{}\mathrm{i}\right)}{42\,d\,e^4}","Not used",1,"-(a^2*(e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*10i + cos(4*c + 4*d*x)*3i - 10*sin(2*c + 2*d*x) - 3*sin(4*c + 4*d*x) + 7i))/(42*d*e^4)","B"
414,1,127,125,5.523079,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(9/2),x)","-\frac{a^2\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(-18\,\sin\left(c+d\,x\right)-23\,\sin\left(3\,c+3\,d\,x\right)-5\,\sin\left(5\,c+5\,d\,x\right)+\cos\left(c+d\,x\right)\,108{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,23{}\mathrm{i}+\cos\left(5\,c+5\,d\,x\right)\,5{}\mathrm{i}\right)}{180\,d\,e^5}","Not used",1,"-(a^2*(e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*108i - 18*sin(c + d*x) + cos(3*c + 3*d*x)*23i + cos(5*c + 5*d*x)*5i - 23*sin(3*c + 3*d*x) - 5*sin(5*c + 5*d*x)))/(180*d*e^5)","B"
415,1,133,169,6.067017,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(5/2)/(e/cos(c + d*x))^(11/2),x)","-\frac{a^2\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(-187\,\sin\left(2\,c+2\,d\,x\right)-40\,\sin\left(4\,c+4\,d\,x\right)-7\,\sin\left(6\,c+6\,d\,x\right)+\cos\left(2\,c+2\,d\,x\right)\,33{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,40{}\mathrm{i}+\cos\left(6\,c+6\,d\,x\right)\,7{}\mathrm{i}\right)}{616\,d\,e^6}","Not used",1,"-(a^2*(e/cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*33i + cos(4*c + 4*d*x)*40i + cos(6*c + 6*d*x)*7i - 187*sin(2*c + 2*d*x) - 40*sin(4*c + 4*d*x) - 7*sin(6*c + 6*d*x)))/(616*d*e^6)","B"
416,0,-1,369,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
417,0,-1,483,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
418,1,40,36,4.307441,"\text{Not used}","int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,2{}\mathrm{i}}{d\,\sqrt{a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*2i)/(d*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^(1/2))","B"
419,1,78,80,0.776804,"\text{Not used}","int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","-\frac{2\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(-2\,\sin\left(c+d\,x\right)+\cos\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{3\,d\,e\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"-(2*(e/cos(c + d*x))^(1/2)*(cos(c + d*x)*1i - 2*sin(c + d*x)))/(3*d*e*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
420,1,86,121,4.029638,"\text{Not used}","int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(4\,\sin\left(2\,c+2\,d\,x\right)-\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+15{}\mathrm{i}\right)}{15\,d\,e^2\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(4*sin(2*c + 2*d*x) - cos(2*c + 2*d*x)*1i + 15i))/(15*d*e^2*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
421,1,101,165,4.209730,"\text{Not used}","int(1/((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","-\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(-\sin\left(c+d\,x\right)-\frac{3\,\sin\left(3\,c+3\,d\,x\right)}{35}+\frac{\cos\left(c+d\,x\right)\,1{}\mathrm{i}}{2}+\frac{\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}}{70}\right)}{d\,e^3\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"-((e/cos(c + d*x))^(1/2)*((cos(c + d*x)*1i)/2 - sin(c + d*x) + (cos(3*c + 3*d*x)*1i)/70 - (3*sin(3*c + 3*d*x))/35))/(d*e^3*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
422,1,109,206,4.311875,"\text{Not used}","int(1/((e/cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(336\,\sin\left(2\,c+2\,d\,x\right)-\cos\left(4\,c+4\,d\,x\right)\,5{}\mathrm{i}-\cos\left(2\,c+2\,d\,x\right)\,84{}\mathrm{i}+40\,\sin\left(4\,c+4\,d\,x\right)+945{}\mathrm{i}\right)}{1260\,d\,e^4\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(336*sin(2*c + 2*d*x) - cos(4*c + 4*d*x)*5i - cos(2*c + 2*d*x)*84i + 40*sin(4*c + 4*d*x) + 945i))/(1260*d*e^4*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
423,0,-1,529,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
424,0,-1,365,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\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((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
425,0,-1,38,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\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((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
426,1,84,80,3.944924,"\text{Not used}","int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^(3/2),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+\sin\left(2\,c+2\,d\,x\right)+5{}\mathrm{i}\right)}{5\,a\,d\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(cos(2*c + 2*d*x)*1i + sin(2*c + 2*d*x) + 5i))/(5*a*d*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
427,1,104,121,4.159529,"\text{Not used}","int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(35\,\sin\left(c+d\,x\right)+3\,\sin\left(3\,c+3\,d\,x\right)-\cos\left(c+d\,x\right)\,7{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,3{}\mathrm{i}\right)}{42\,a\,d\,e\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(35*sin(c + d*x) - cos(c + d*x)*7i + cos(3*c + 3*d*x)*3i + 3*sin(3*c + 3*d*x)))/(42*a*d*e*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
428,1,112,165,4.198941,"\text{Not used}","int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,12{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,5{}\mathrm{i}+42\,\sin\left(2\,c+2\,d\,x\right)+5\,\sin\left(4\,c+4\,d\,x\right)+135{}\mathrm{i}\right)}{180\,a\,d\,e^2\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(cos(2*c + 2*d*x)*12i + cos(4*c + 4*d*x)*5i + 42*sin(2*c + 2*d*x) + 5*sin(4*c + 4*d*x) + 135i))/(180*a*d*e^2*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
429,1,127,209,4.569573,"\text{Not used}","int(1/((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^(3/2)),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(2310\,\sin\left(c+d\,x\right)+297\,\sin\left(3\,c+3\,d\,x\right)+35\,\sin\left(5\,c+5\,d\,x\right)-\cos\left(c+d\,x\right)\,770{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,143{}\mathrm{i}+\cos\left(5\,c+5\,d\,x\right)\,35{}\mathrm{i}\right)}{3080\,a\,d\,e^3\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(2310*sin(c + d*x) - cos(c + d*x)*770i + cos(3*c + 3*d*x)*143i + cos(5*c + 5*d*x)*35i + 297*sin(3*c + 3*d*x) + 35*sin(5*c + 5*d*x)))/(3080*a*d*e^3*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
430,0,-1,411,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{9/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((e/cos(c + d*x))^(9/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
431,0,-1,527,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((e/cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
432,0,-1,38,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\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((e/cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
433,1,102,80,4.226280,"\text{Not used}","int((e/cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{e\,\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(7\,\sin\left(c+d\,x\right)+3\,\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,7{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,3{}\mathrm{i}\right)}{21\,a^2\,d\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"(e*(e/cos(c + d*x))^(1/2)*(cos(c + d*x)*7i + 7*sin(c + d*x) + cos(3*c + 3*d*x)*3i + 3*sin(3*c + 3*d*x)))/(21*a^2*d*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
434,1,109,121,4.216842,"\text{Not used}","int((e/cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^(5/2),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,18{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,5{}\mathrm{i}+18\,\sin\left(2\,c+2\,d\,x\right)+5\,\sin\left(4\,c+4\,d\,x\right)+45{}\mathrm{i}\right)}{90\,a^2\,d\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(cos(2*c + 2*d*x)*18i + cos(4*c + 4*d*x)*5i + 18*sin(2*c + 2*d*x) + 5*sin(4*c + 4*d*x) + 45i))/(90*a^2*d*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
435,1,118,162,4.514715,"\text{Not used}","int(1/((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(154\,\sin\left(c+d\,x\right)+33\,\sin\left(3\,c+3\,d\,x\right)+7\,\sin\left(5\,c+5\,d\,x\right)+\cos\left(3\,c+3\,d\,x\right)\,33{}\mathrm{i}+\cos\left(5\,c+5\,d\,x\right)\,7{}\mathrm{i}\right)}{308\,a^2\,d\,e\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(154*sin(c + d*x) + cos(3*c + 3*d*x)*33i + cos(5*c + 5*d*x)*7i + 33*sin(3*c + 3*d*x) + 7*sin(5*c + 5*d*x)))/(308*a^2*d*e*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
436,1,135,206,4.723241,"\text{Not used}","int(1/((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(5/2)),x)","\frac{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,507{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,260{}\mathrm{i}+\cos\left(6\,c+6\,d\,x\right)\,45{}\mathrm{i}+897\,\sin\left(2\,c+2\,d\,x\right)+260\,\sin\left(4\,c+4\,d\,x\right)+45\,\sin\left(6\,c+6\,d\,x\right)+2340{}\mathrm{i}\right)}{4680\,a^2\,d\,e^2\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}","Not used",1,"((e/cos(c + d*x))^(1/2)*(cos(2*c + 2*d*x)*507i + cos(4*c + 4*d*x)*260i + cos(6*c + 6*d*x)*45i + 897*sin(2*c + 2*d*x) + 260*sin(4*c + 4*d*x) + 45*sin(6*c + 6*d*x) + 2340i))/(4680*a^2*d*e^2*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))","B"
437,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(7/3)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{7/3}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e/cos(c + d*x))^(7/3)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
438,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/3)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/3}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e/cos(c + d*x))^(5/3)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
439,0,-1,85,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(2/3)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2/3}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e/cos(c + d*x))^(2/3)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
440,0,-1,83,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/3)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{1/3}}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e/cos(c + d*x))^(1/3)/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
441,0,-1,83,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(1/3)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{1/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(1/3)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
442,0,-1,88,0.000000,"\text{Not used}","int(1/((e/cos(c + d*x))^(4/3)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{4/3}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/((e/cos(c + d*x))^(4/3)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
443,0,-1,437,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(2/3)/(a + a*tan(e + f*x)*1i)^(7/3),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{7/3}} \,d x","Not used",1,"int((d/cos(e + f*x))^(2/3)/(a + a*tan(e + f*x)*1i)^(7/3), x)","F"
444,0,-1,378,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(2/3)/(a + a*tan(e + f*x)*1i)^(4/3),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{4/3}} \,d x","Not used",1,"int((d/cos(e + f*x))^(2/3)/(a + a*tan(e + f*x)*1i)^(4/3), x)","F"
445,0,-1,340,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(2/3)/(a + a*tan(e + f*x)*1i)^(1/3),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{1/3}} \,d x","Not used",1,"int((d/cos(e + f*x))^(2/3)/(a + a*tan(e + f*x)*1i)^(1/3), x)","F"
446,1,81,37,4.813504,"\text{Not used}","int((d/cos(e + f*x))^(2/3)*(a + a*tan(e + f*x)*1i)^(2/3),x)","\frac{3\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}\,\left(\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+\sin\left(2\,e+2\,f\,x\right)+1{}\mathrm{i}\right)\,{\left(\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}\right)}^{2/3}}{2\,f}","Not used",1,"(3*(d/cos(e + f*x))^(2/3)*(cos(2*e + 2*f*x)*1i + sin(2*e + 2*f*x) + 1i)*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(2/3))/(2*f)","B"
447,1,90,81,4.130419,"\text{Not used}","int((d/cos(e + f*x))^(2/3)*(a + a*tan(e + f*x)*1i)^(5/3),x)","\frac{3\,a\,{\left(\frac{d}{2\,{\cos\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}\right)}^{2/3}\,\left({\cos\left(e+f\,x\right)}^2\,6{}\mathrm{i}+3\,\sin\left(2\,e+2\,f\,x\right)+1{}\mathrm{i}\right)\,{\left(\frac{a\,\left(2\,{\cos\left(e+f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(e+f\,x\right)}^2}\right)}^{2/3}}{4\,f}","Not used",1,"(3*a*(d/(2*cos(e/2 + (f*x)/2)^2 - 1))^(2/3)*(3*sin(2*e + 2*f*x) + cos(e + f*x)^2*6i + 1i)*((a*(sin(2*e + 2*f*x)*1i + 2*cos(e + f*x)^2))/(2*cos(e + f*x)^2))^(2/3))/(4*f)","B"
448,1,122,122,5.268669,"\text{Not used}","int((d/cos(e + f*x))^(2/3)*(a + a*tan(e + f*x)*1i)^(8/3),x)","\frac{3\,a^2\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}\,{\left(\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1}\right)}^{2/3}\,\left(\cos\left(2\,e+2\,f\,x\right)\,44{}\mathrm{i}+\cos\left(4\,e+4\,f\,x\right)\,9{}\mathrm{i}+16\,\sin\left(2\,e+2\,f\,x\right)+9\,\sin\left(4\,e+4\,f\,x\right)+35{}\mathrm{i}\right)}{14\,f\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)}","Not used",1,"(3*a^2*(d/cos(e + f*x))^(2/3)*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(cos(2*e + 2*f*x) + 1))^(2/3)*(cos(2*e + 2*f*x)*44i + cos(4*e + 4*f*x)*9i + 16*sin(2*e + 2*f*x) + 9*sin(4*e + 4*f*x) + 35i))/(14*f*(cos(2*e + 2*f*x) + 1))","B"
449,1,303,163,7.879010,"\text{Not used}","int((d/cos(e + f*x))^(2/3)*(a + a*tan(e + f*x)*1i)^(11/3),x)","\frac{{\left(-\frac{d}{2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}\right)}^{2/3}\,\left(2\,{\sin\left(2\,e+2\,f\,x\right)}^2+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}-1\right)\,\left(\frac{a^3\,{\left(a-\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}\right)}^{2/3}\,243{}\mathrm{i}}{35\,f}+\frac{a^3\,{\left(a-\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}\right)}^{2/3}\,\left(-2\,{\sin\left(e+f\,x\right)}^2+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+1\right)\,162{}\mathrm{i}}{7\,f}+\frac{a^3\,{\left(a-\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}\right)}^{2/3}\,\left(-2\,{\sin\left(2\,e+2\,f\,x\right)}^2+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+1\right)\,27{}\mathrm{i}}{f}+\frac{a^3\,{\left(a-\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{e}{2}+\frac{f\,x}{2}\right)}^2-1}\right)}^{2/3}\,\left(-2\,{\sin\left(3\,e+3\,f\,x\right)}^2+\sin\left(6\,e+6\,f\,x\right)\,1{}\mathrm{i}+1\right)\,12{}\mathrm{i}}{f}\right)}{4\,\left({\sin\left(e+f\,x\right)}^2-1\right)}","Not used",1,"((-d/(2*sin(e/2 + (f*x)/2)^2 - 1))^(2/3)*(sin(4*e + 4*f*x)*1i + 2*sin(2*e + 2*f*x)^2 - 1)*((a^3*(a - (a*sin(e + f*x)*1i)/(2*sin(e/2 + (f*x)/2)^2 - 1))^(2/3)*243i)/(35*f) + (a^3*(a - (a*sin(e + f*x)*1i)/(2*sin(e/2 + (f*x)/2)^2 - 1))^(2/3)*(sin(2*e + 2*f*x)*1i - 2*sin(e + f*x)^2 + 1)*162i)/(7*f) + (a^3*(a - (a*sin(e + f*x)*1i)/(2*sin(e/2 + (f*x)/2)^2 - 1))^(2/3)*(sin(4*e + 4*f*x)*1i - 2*sin(2*e + 2*f*x)^2 + 1)*27i)/f + (a^3*(a - (a*sin(e + f*x)*1i)/(2*sin(e/2 + (f*x)/2)^2 - 1))^(2/3)*(sin(6*e + 6*f*x)*1i - 2*sin(3*e + 3*f*x)^2 + 1)*12i)/f))/(4*(sin(e + f*x)^2 - 1))","B"
450,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^5,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^5 \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^5, x)","F"
451,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^3,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3 \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^3, x)","F"
452,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^2,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^2, x)","F"
453,0,-1,82,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i), x)","F"
454,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i), x)","F"
455,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^2, x)","F"
456,0,-1,86,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^3,x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^3} \,d x","Not used",1,"int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^3, x)","F"
457,0,-1,109,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(7/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{7/2} \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(7/2), x)","F"
458,0,-1,109,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(5/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2} \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
459,0,-1,107,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(3/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2} \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
460,0,-1,107,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
461,0,-1,106,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
462,0,-1,109,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(3/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{3/2}} \,d x","Not used",1,"int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(3/2), x)","F"
463,0,-1,109,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(5/2),x)","\int \frac{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^{5/2}} \,d x","Not used",1,"int((e/cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(5/2), x)","F"
464,0,-1,105,0.000000,"\text{Not used}","int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^n, x)","F"
465,1,168,97,8.126804,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x)^6,x)","\frac{{\mathrm{e}}^{-c\,5{}\mathrm{i}-d\,x\,5{}\mathrm{i}}\,{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n\,\left(\frac{64\,{\mathrm{e}}^{c\,10{}\mathrm{i}+d\,x\,10{}\mathrm{i}}}{d\,\left(n^3\,1{}\mathrm{i}+n^2\,12{}\mathrm{i}+n\,47{}\mathrm{i}+60{}\mathrm{i}\right)}+\frac{{\mathrm{e}}^{c\,6{}\mathrm{i}+d\,x\,6{}\mathrm{i}}\,\left(32\,n^2+288\,n+640\right)}{d\,\left(n^3\,1{}\mathrm{i}+n^2\,12{}\mathrm{i}+n\,47{}\mathrm{i}+60{}\mathrm{i}\right)}+\frac{{\mathrm{e}}^{c\,8{}\mathrm{i}+d\,x\,8{}\mathrm{i}}\,\left(64\,n+320\right)}{d\,\left(n^3\,1{}\mathrm{i}+n^2\,12{}\mathrm{i}+n\,47{}\mathrm{i}+60{}\mathrm{i}\right)}\right)}{32\,{\cos\left(c+d\,x\right)}^5}","Not used",1,"(exp(- c*5i - d*x*5i)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n*((64*exp(c*10i + d*x*10i))/(d*(n*47i + n^2*12i + n^3*1i + 60i)) + (exp(c*6i + d*x*6i)*(288*n + 32*n^2 + 640))/(d*(n*47i + n^2*12i + n^3*1i + 60i)) + (exp(c*8i + d*x*8i)*(64*n + 320))/(d*(n*47i + n^2*12i + n^3*1i + 60i))))/(32*cos(c + d*x)^5)","B"
466,1,216,65,2.436345,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x)^4,x)","-\frac{4\,{\left(\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}\right)}^n\,\left(n\,3{}\mathrm{i}+\cos\left(2\,c+2\,d\,x\right)\,15{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,6{}\mathrm{i}+\cos\left(6\,c+6\,d\,x\right)\,1{}\mathrm{i}-9\,\sin\left(2\,c+2\,d\,x\right)-6\,\sin\left(4\,c+4\,d\,x\right)-\sin\left(6\,c+6\,d\,x\right)+n\,\cos\left(2\,c+2\,d\,x\right)\,4{}\mathrm{i}+n\,\cos\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}-2\,n\,\sin\left(2\,c+2\,d\,x\right)-n\,\sin\left(4\,c+4\,d\,x\right)+10{}\mathrm{i}\right)}{d\,\left(n^2+5\,n+6\right)\,\left(15\,\cos\left(2\,c+2\,d\,x\right)+6\,\cos\left(4\,c+4\,d\,x\right)+\cos\left(6\,c+6\,d\,x\right)+10\right)}","Not used",1,"-(4*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^n*(n*3i + cos(2*c + 2*d*x)*15i + cos(4*c + 4*d*x)*6i + cos(6*c + 6*d*x)*1i - 9*sin(2*c + 2*d*x) - 6*sin(4*c + 4*d*x) - sin(6*c + 6*d*x) + n*cos(2*c + 2*d*x)*4i + n*cos(4*c + 4*d*x)*1i - 2*n*sin(2*c + 2*d*x) - n*sin(4*c + 4*d*x) + 10i))/(d*(5*n + n^2 + 6)*(15*cos(2*c + 2*d*x) + 6*cos(4*c + 4*d*x) + cos(6*c + 6*d*x) + 10))","B"
467,1,104,32,0.416404,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x)^2,x)","\frac{2\,\left(\cos\left(2\,d\,x\right)+\sin\left(2\,d\,x\right)\,1{}\mathrm{i}\right)\,\left(\cos\left(2\,c\right)+\sin\left(2\,c\right)\,1{}\mathrm{i}\right)\,{\left(\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}\right)}^n}{d\,\left(n+1\right)\,\left(\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}-\sin\left(2\,c+2\,d\,x\right)+1{}\mathrm{i}\right)}","Not used",1,"(2*(cos(2*d*x) + sin(2*d*x)*1i)*(cos(2*c) + sin(2*c)*1i)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^n)/(d*(n + 1)*(cos(2*c + 2*d*x)*1i - sin(2*c + 2*d*x) + 1i))","B"
468,0,-1,56,0.000000,"\text{Not used}","int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^n,x)","\int {\cos\left(c+d\,x\right)}^2\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^2*(a + a*tan(c + d*x)*1i)^n, x)","F"
469,0,-1,60,0.000000,"\text{Not used}","int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^n,x)","\int {\cos\left(c+d\,x\right)}^4\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^4*(a + a*tan(c + d*x)*1i)^n, x)","F"
470,0,-1,60,0.000000,"\text{Not used}","int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^n,x)","\int {\cos\left(c+d\,x\right)}^6\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^6*(a + a*tan(c + d*x)*1i)^n, x)","F"
471,0,-1,94,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x)^5,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\cos\left(c+d\,x\right)}^5} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x)^5, x)","F"
472,0,-1,92,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x)^3,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\cos\left(c+d\,x\right)}^3} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x)^3, x)","F"
473,0,-1,88,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{\cos\left(c+d\,x\right)} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/cos(c + d*x), x)","F"
474,0,-1,85,0.000000,"\text{Not used}","int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^n,x)","\int \cos\left(c+d\,x\right)\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cos(c + d*x)*(a + a*tan(c + d*x)*1i)^n, x)","F"
475,0,-1,94,0.000000,"\text{Not used}","int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^n,x)","\int {\cos\left(c+d\,x\right)}^3\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^3*(a + a*tan(c + d*x)*1i)^n, x)","F"
476,0,-1,94,0.000000,"\text{Not used}","int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^n,x)","\int {\cos\left(c+d\,x\right)}^5\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^5*(a + a*tan(c + d*x)*1i)^n, x)","F"
477,0,-1,96,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^n, x)","F"
478,0,-1,96,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^n, x)","F"
479,0,-1,94,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^n,x)","\int \sqrt{\frac{e}{\cos\left(c+d\,x\right)}}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^n, x)","F"
480,0,-1,91,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(1/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{\sqrt{\frac{e}{\cos\left(c+d\,x\right)}}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(1/2), x)","F"
481,0,-1,93,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(3/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(3/2), x)","F"
482,0,-1,98,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(5/2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(5/2), x)","F"
483,1,511,269,9.900923,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(n + 4),x)","\frac{\left(2\,{\sin\left(2\,c+2\,d\,x\right)}^2+\sin\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}-1\right)\,\left(\frac{{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-n^3-4\,n^2+4\,n+16\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,20{}\mathrm{i}+64{}\mathrm{i}\right)}+\frac{4\,{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-2\,{\sin\left(c+d\,x\right)}^2+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+1\right)\,\left(-n^3-2\,n^2+16\,n+32\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,20{}\mathrm{i}+64{}\mathrm{i}\right)}+\frac{{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-2\,{\sin\left(4\,c+4\,d\,x\right)}^2+\sin\left(8\,c+8\,d\,x\right)\,1{}\mathrm{i}+1\right)\,\left(-n^3+4\,n^2+4\,n-16\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,20{}\mathrm{i}+64{}\mathrm{i}\right)}+\frac{4\,{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-2\,{\sin\left(3\,c+3\,d\,x\right)}^2+\sin\left(6\,c+6\,d\,x\right)\,1{}\mathrm{i}+1\right)\,\left(-n^3+2\,n^2+16\,n-32\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,20{}\mathrm{i}+64{}\mathrm{i}\right)}-\frac{{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-2\,{\sin\left(2\,c+2\,d\,x\right)}^2+\sin\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}+1\right)\,\left(6\,n^4-120\,n^2+384\right)}{d\,n\,\left(n^4\,1{}\mathrm{i}-n^2\,20{}\mathrm{i}+64{}\mathrm{i}\right)}\right)}{16\,{\left(-\frac{e}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^{n+4}\,{\left({\sin\left(c+d\,x\right)}^2-1\right)}^2}","Not used",1,"((sin(4*c + 4*d*x)*1i + 2*sin(2*c + 2*d*x)^2 - 1)*(((a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(4*n - 4*n^2 - n^3 + 16))/(d*(n^4*1i - n^2*20i + 64i)) + (4*(a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(sin(2*c + 2*d*x)*1i - 2*sin(c + d*x)^2 + 1)*(16*n - 2*n^2 - n^3 + 32))/(d*(n^4*1i - n^2*20i + 64i)) + ((a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(sin(8*c + 8*d*x)*1i - 2*sin(4*c + 4*d*x)^2 + 1)*(4*n + 4*n^2 - n^3 - 16))/(d*(n^4*1i - n^2*20i + 64i)) + (4*(a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(sin(6*c + 6*d*x)*1i - 2*sin(3*c + 3*d*x)^2 + 1)*(16*n + 2*n^2 - n^3 - 32))/(d*(n^4*1i - n^2*20i + 64i)) - ((a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(sin(4*c + 4*d*x)*1i - 2*sin(2*c + 2*d*x)^2 + 1)*(6*n^4 - 120*n^2 + 384))/(d*n*(n^4*1i - n^2*20i + 64i))))/(16*(-e/(2*sin(c/2 + (d*x)/2)^2 - 1))^(n + 4)*(sin(c + d*x)^2 - 1)^2)","B"
484,1,425,205,9.238307,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(n + 3),x)","-\frac{\left(2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)\,\left(2\,{\sin\left(\frac{3\,c}{2}+\frac{3\,d\,x}{2}\right)}^2+\sin\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}-1\right)\,\left(\frac{{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-n^3-3\,n^2+n+3\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,10{}\mathrm{i}+9{}\mathrm{i}\right)}+\frac{{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-2\,{\sin\left(3\,c+3\,d\,x\right)}^2+\sin\left(6\,c+6\,d\,x\right)\,1{}\mathrm{i}+1\right)\,\left(-n^3+3\,n^2+n-3\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,10{}\mathrm{i}+9{}\mathrm{i}\right)}+\frac{{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-2\,{\sin\left(c+d\,x\right)}^2+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+1\right)\,\left(-3\,n^3-3\,n^2+27\,n+27\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,10{}\mathrm{i}+9{}\mathrm{i}\right)}+\frac{{\left(a-\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^n\,\left(-2\,{\sin\left(2\,c+2\,d\,x\right)}^2+\sin\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}+1\right)\,\left(-3\,n^3+3\,n^2+27\,n-27\right)}{d\,\left(n^4\,1{}\mathrm{i}-n^2\,10{}\mathrm{i}+9{}\mathrm{i}\right)}\right)}{8\,{\left(-\frac{e}{2\,{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1}\right)}^{n+3}\,{\left({\sin\left(c+d\,x\right)}^2-1\right)}^2}","Not used",1,"-((2*sin(c/2 + (d*x)/2)^2 - 1)*(sin(3*c + 3*d*x)*1i + 2*sin((3*c)/2 + (3*d*x)/2)^2 - 1)*(((a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(n - 3*n^2 - n^3 + 3))/(d*(n^4*1i - n^2*10i + 9i)) + ((a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(sin(6*c + 6*d*x)*1i - 2*sin(3*c + 3*d*x)^2 + 1)*(n + 3*n^2 - n^3 - 3))/(d*(n^4*1i - n^2*10i + 9i)) + ((a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(sin(2*c + 2*d*x)*1i - 2*sin(c + d*x)^2 + 1)*(27*n - 3*n^2 - 3*n^3 + 27))/(d*(n^4*1i - n^2*10i + 9i)) + ((a - (a*sin(c + d*x)*1i)/(2*sin(c/2 + (d*x)/2)^2 - 1))^n*(sin(4*c + 4*d*x)*1i - 2*sin(2*c + 2*d*x)^2 + 1)*(27*n + 3*n^2 - 3*n^3 - 27))/(d*(n^4*1i - n^2*10i + 9i))))/(8*(-e/(2*sin(c/2 + (d*x)/2)^2 - 1))^(n + 3)*(sin(c + d*x)^2 - 1)^2)","B"
485,1,227,148,9.304456,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(n + 2),x)","\frac{\left(\cos\left(2\,c+2\,d\,x\right)-\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)\,\left(\frac{{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n\,\left(n+2\right)}{d\,\left(n^2\,1{}\mathrm{i}-4{}\mathrm{i}\right)}+\frac{\left(\cos\left(4\,c+4\,d\,x\right)+\sin\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}\right)\,{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n\,\left(n-2\right)}{d\,\left(n^2\,1{}\mathrm{i}-4{}\mathrm{i}\right)}+\frac{\left(\cos\left(2\,c+2\,d\,x\right)+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)\,\left(2\,n^2-8\right)\,{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n}{d\,n\,\left(n^2\,1{}\mathrm{i}-4{}\mathrm{i}\right)}\right)}{4\,\left(\frac{\cos\left(2\,c+2\,d\,x\right)}{2}+\frac{1}{2}\right)\,{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{n+2}}","Not used",1,"((cos(2*c + 2*d*x) - sin(2*c + 2*d*x)*1i)*(((a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n*(n + 2))/(d*(n^2*1i - 4i)) + ((cos(4*c + 4*d*x) + sin(4*c + 4*d*x)*1i)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n*(n - 2))/(d*(n^2*1i - 4i)) + ((cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i)*(2*n^2 - 8)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n)/(d*n*(n^2*1i - 4i))))/(4*(cos(2*c + 2*d*x)/2 + 1/2)*(e/cos(c + d*x))^(n + 2))","B"
486,1,121,94,1.894136,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(n + 1),x)","-\frac{{\left(\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}\right)}^n\,\left(\sin\left(c+d\,x\right)+\sin\left(3\,c+3\,d\,x\right)+n\,\cos\left(c+d\,x\right)\,3{}\mathrm{i}+n\,\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}\right)}{2\,d\,e\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)\,\left(n^2-1\right)\,{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^n}","Not used",1,"-(((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^n*(sin(c + d*x) + sin(3*c + 3*d*x) + n*cos(c + d*x)*3i + n*cos(3*c + 3*d*x)*1i))/(2*d*e*(cos(2*c + 2*d*x) + 1)*(n^2 - 1)*(e/cos(c + d*x))^n)","B"
487,0,-1,37,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^n,x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^n} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^n, x)","F"
488,0,-1,118,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1 - n)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{1-n}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(1 - n)*(a + a*tan(c + d*x)*1i)^n, x)","F"
489,0,-1,113,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(2 - n)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2-n}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(2 - n)*(a + a*tan(c + d*x)*1i)^n, x)","F"
490,0,-1,121,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3 - n)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3-n}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(3 - n)*(a + a*tan(c + d*x)*1i)^n, x)","F"
491,1,318,156,10.330273,"\text{Not used}","int((e/cos(c + d*x))^(6 - 2*n)*(a + a*tan(c + d*x)*1i)^n,x)","\left(\cos\left(6\,c+6\,d\,x\right)-\sin\left(6\,c+6\,d\,x\right)\,1{}\mathrm{i}\right)\,{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{6-2\,n}\,\left(\frac{{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n}{d\,\left(n^3\,1{}\mathrm{i}-n^2\,12{}\mathrm{i}+n\,47{}\mathrm{i}-60{}\mathrm{i}\right)}-\frac{\left(2\,n-12\right)\,\left(\cos\left(2\,c+2\,d\,x\right)+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)\,{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n}{2\,d\,\left(n^3\,1{}\mathrm{i}-n^2\,12{}\mathrm{i}+n\,47{}\mathrm{i}-60{}\mathrm{i}\right)}+\frac{\left(\cos\left(6\,c+6\,d\,x\right)+\sin\left(6\,c+6\,d\,x\right)\,1{}\mathrm{i}\right)\,{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n\,\left(n^2-9\,n+20\right)}{2\,d\,\left(n^3\,1{}\mathrm{i}-n^2\,12{}\mathrm{i}+n\,47{}\mathrm{i}-60{}\mathrm{i}\right)}+\frac{\left(\cos\left(4\,c+4\,d\,x\right)+\sin\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}\right)\,{\left(a+\frac{a\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}}{\cos\left(c+d\,x\right)}\right)}^n\,\left(n^2-11\,n+30\right)}{2\,d\,\left(n^3\,1{}\mathrm{i}-n^2\,12{}\mathrm{i}+n\,47{}\mathrm{i}-60{}\mathrm{i}\right)}\right)","Not used",1,"(cos(6*c + 6*d*x) - sin(6*c + 6*d*x)*1i)*(e/cos(c + d*x))^(6 - 2*n)*((a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n/(d*(n*47i - n^2*12i + n^3*1i - 60i)) - ((2*n - 12)*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n)/(2*d*(n*47i - n^2*12i + n^3*1i - 60i)) + ((cos(6*c + 6*d*x) + sin(6*c + 6*d*x)*1i)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n*(n^2 - 9*n + 20))/(2*d*(n*47i - n^2*12i + n^3*1i - 60i)) + ((cos(4*c + 4*d*x) + sin(4*c + 4*d*x)*1i)*(a + (a*sin(c + d*x)*1i)/cos(c + d*x))^n*(n^2 - 11*n + 30))/(2*d*(n*47i - n^2*12i + n^3*1i - 60i)))","B"
492,0,-1,97,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(5 - 2*n)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{5-2\,n}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(5 - 2*n)*(a + a*tan(c + d*x)*1i)^n, x)","F"
493,1,174,98,5.934488,"\text{Not used}","int((e/cos(c + d*x))^(4 - 2*n)*(a + a*tan(c + d*x)*1i)^n,x)","\frac{4\,e^4\,{\left(\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}\right)}^n\,\left(4\,\sin\left(2\,c+2\,d\,x\right)+\cos\left(2\,c+2\,d\,x\right)\,4{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,1{}\mathrm{i}-n\,1{}\mathrm{i}+\sin\left(4\,c+4\,d\,x\right)-n\,\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}-n\,\sin\left(2\,c+2\,d\,x\right)+3{}\mathrm{i}\right)}{d\,{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2\,n}\,\left(4\,\cos\left(2\,c+2\,d\,x\right)+\cos\left(4\,c+4\,d\,x\right)+3\right)\,\left(n^2-5\,n+6\right)}","Not used",1,"(4*e^4*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^n*(cos(2*c + 2*d*x)*4i - n*1i + cos(4*c + 4*d*x)*1i + 4*sin(2*c + 2*d*x) + sin(4*c + 4*d*x) - n*cos(2*c + 2*d*x)*1i - n*sin(2*c + 2*d*x) + 3i))/(d*(e/cos(c + d*x))^(2*n)*(4*cos(2*c + 2*d*x) + cos(4*c + 4*d*x) + 3)*(n^2 - 5*n + 6))","B"
494,0,-1,97,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(3 - 2*n)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{3-2\,n}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(3 - 2*n)*(a + a*tan(c + d*x)*1i)^n, x)","F"
495,1,106,46,4.240373,"\text{Not used}","int((e/cos(c + d*x))^(2 - 2*n)*(a + a*tan(c + d*x)*1i)^n,x)","-\frac{e^2\,\left(\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+\sin\left(2\,c+2\,d\,x\right)+1{}\mathrm{i}\right)\,{\left(\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}\right)}^n}{d\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)\,{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2\,n}\,\left(n-1\right)}","Not used",1,"-(e^2*(cos(2*c + 2*d*x)*1i + sin(2*c + 2*d*x) + 1i)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^n)/(d*(cos(2*c + 2*d*x) + 1)*(e/cos(c + d*x))^(2*n)*(n - 1))","B"
496,0,-1,95,0.000000,"\text{Not used}","int((e/cos(c + d*x))^(1 - 2*n)*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{1-2\,n}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e/cos(c + d*x))^(1 - 2*n)*(a + a*tan(c + d*x)*1i)^n, x)","F"
497,0,-1,65,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2\,n}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n), x)","F"
498,0,-1,95,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n + 1),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2\,n+1}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n + 1), x)","F"
499,0,-1,74,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n + 2),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2\,n+2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n + 2), x)","F"
500,0,-1,97,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n + 3),x)","\int \frac{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n}{{\left(\frac{e}{\cos\left(c+d\,x\right)}\right)}^{2\,n+3}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^n/(e/cos(c + d*x))^(2*n + 3), x)","F"
501,0,-1,66,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(2*n)/(a + a*tan(e + f*x)*1i)^(n + 2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2\,n}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{n+2}} \,d x","Not used",1,"int((d/cos(e + f*x))^(2*n)/(a + a*tan(e + f*x)*1i)^(n + 2), x)","F"
502,0,-1,66,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(2*n)/(a + a*tan(e + f*x)*1i)^(n + 1),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2\,n}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^{n+1}} \,d x","Not used",1,"int((d/cos(e + f*x))^(2*n)/(a + a*tan(e + f*x)*1i)^(n + 1), x)","F"
503,0,-1,63,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(2*n)/(a + a*tan(e + f*x)*1i)^n,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2\,n}}{{\left(a+a\,\mathrm{tan}\left(e+f\,x\right)\,1{}\mathrm{i}\right)}^n} \,d x","Not used",1,"int((d/cos(e + f*x))^(2*n)/(a + a*tan(e + f*x)*1i)^n, x)","F"
504,1,62,40,4.591271,"\text{Not used}","int((d/cos(e + f*x))^(2*n)*(a + a*tan(e + f*x)*1i)^(1 - n),x)","\frac{a\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2\,n}\,1{}\mathrm{i}}{f\,n\,{\left(\frac{a\,\left(\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(e+f\,x\right)}^2}\right)}^n}","Not used",1,"(a*(d/cos(e + f*x))^(2*n)*1i)/(f*n*((a*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))/(2*cos(e + f*x)^2))^n)","B"
505,1,260,92,7.823286,"\text{Not used}","int((d/cos(e + f*x))^(2*n)*(a + a*tan(e + f*x)*1i)^(2 - n),x)","-{\mathrm{e}}^{-e\,4{}\mathrm{i}-f\,x\,4{}\mathrm{i}}\,{\left(\frac{d}{\frac{{\mathrm{e}}^{-e\,1{}\mathrm{i}-f\,x\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{e\,1{}\mathrm{i}+f\,x\,1{}\mathrm{i}}}{2}}\right)}^{2\,n}\,\left(\frac{{\left(a-\frac{a\,\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)}^{2-n}}{2\,f\,n\,\left(n\,1{}\mathrm{i}+1{}\mathrm{i}\right)}+\frac{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,{\left(a-\frac{a\,\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)}^{2-n}\,\left(n+2\right)}{2\,f\,n\,\left(n\,1{}\mathrm{i}+1{}\mathrm{i}\right)}+\frac{{\mathrm{e}}^{e\,4{}\mathrm{i}+f\,x\,4{}\mathrm{i}}\,{\left(a-\frac{a\,\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)}^{2-n}\,\left(n+1\right)}{2\,f\,n\,\left(n\,1{}\mathrm{i}+1{}\mathrm{i}\right)}\right)","Not used",1,"-exp(- e*4i - f*x*4i)*(d/(exp(- e*1i - f*x*1i)/2 + exp(e*1i + f*x*1i)/2))^(2*n)*((a - (a*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(2 - n)/(2*f*n*(n*1i + 1i)) + (exp(e*2i + f*x*2i)*(a - (a*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(2 - n)*(n + 2))/(2*f*n*(n*1i + 1i)) + (exp(e*4i + f*x*4i)*(a - (a*(exp(e*2i + f*x*2i)*1i - 1i)*1i)/(exp(e*2i + f*x*2i) + 1))^(2 - n)*(n + 1))/(2*f*n*(n*1i + 1i)))","B"
506,1,321,148,12.468164,"\text{Not used}","int((d/cos(e + f*x))^(2*n)*(a + a*tan(e + f*x)*1i)^(3 - n),x)","-\left(\cos\left(6\,e+6\,f\,x\right)-\sin\left(6\,e+6\,f\,x\right)\,1{}\mathrm{i}\right)\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2\,n}\,\left(\frac{{\left(a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}\right)}^{3-n}}{f\,n\,\left(n^2\,1{}\mathrm{i}+n\,3{}\mathrm{i}+2{}\mathrm{i}\right)}+\frac{\left(\cos\left(4\,e+4\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}\right)\,{\left(a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}\right)}^{3-n}\,\left(n^2+5\,n+6\right)}{2\,f\,n\,\left(n^2\,1{}\mathrm{i}+n\,3{}\mathrm{i}+2{}\mathrm{i}\right)}+\frac{\left(\cos\left(6\,e+6\,f\,x\right)+\sin\left(6\,e+6\,f\,x\right)\,1{}\mathrm{i}\right)\,{\left(a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}\right)}^{3-n}\,\left(n^2+3\,n+2\right)}{2\,f\,n\,\left(n^2\,1{}\mathrm{i}+n\,3{}\mathrm{i}+2{}\mathrm{i}\right)}+\frac{\left(2\,n+6\right)\,\left(\cos\left(2\,e+2\,f\,x\right)+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}\right)\,{\left(a+\frac{a\,\sin\left(e+f\,x\right)\,1{}\mathrm{i}}{\cos\left(e+f\,x\right)}\right)}^{3-n}}{2\,f\,n\,\left(n^2\,1{}\mathrm{i}+n\,3{}\mathrm{i}+2{}\mathrm{i}\right)}\right)","Not used",1,"-(cos(6*e + 6*f*x) - sin(6*e + 6*f*x)*1i)*(d/cos(e + f*x))^(2*n)*((a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(3 - n)/(f*n*(n*3i + n^2*1i + 2i)) + ((cos(4*e + 4*f*x) + sin(4*e + 4*f*x)*1i)*(a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(3 - n)*(5*n + n^2 + 6))/(2*f*n*(n*3i + n^2*1i + 2i)) + ((cos(6*e + 6*f*x) + sin(6*e + 6*f*x)*1i)*(a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(3 - n)*(3*n + n^2 + 2))/(2*f*n*(n*3i + n^2*1i + 2i)) + ((2*n + 6)*(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i)*(a + (a*sin(e + f*x)*1i)/cos(e + f*x))^(3 - n))/(2*f*n*(n*3i + n^2*1i + 2i)))","B"
507,1,68,60,3.674911,"\text{Not used}","int((a + b*tan(c + d*x))/cos(c + d*x)^6,x)","\frac{\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^6}{6}+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^4}{2}+\frac{2\,a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+a\,\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"(a*tan(c + d*x) + (2*a*tan(c + d*x)^3)/3 + (a*tan(c + d*x)^5)/5 + (b*tan(c + d*x)^2)/2 + (b*tan(c + d*x)^4)/2 + (b*tan(c + d*x)^6)/6)/d","B"
508,1,175,74,7.072332,"\text{Not used}","int((a + b*tan(c + d*x))/cos(c + d*x)^5,x)","\frac{3\,a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{4\,d}-\frac{-\frac{5\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9}{4}+2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+\frac{a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7}{2}+4\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{2}+\frac{5\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{2\,b}{5}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(3*a*atanh(tan(c/2 + (d*x)/2)))/(4*d) - ((2*b)/5 + (5*a*tan(c/2 + (d*x)/2))/4 - (a*tan(c/2 + (d*x)/2)^3)/2 + (a*tan(c/2 + (d*x)/2)^7)/2 - (5*a*tan(c/2 + (d*x)/2)^9)/4 + 4*b*tan(c/2 + (d*x)/2)^4 + 2*b*tan(c/2 + (d*x)/2)^8)/(d*(5*tan(c/2 + (d*x)/2)^2 - 10*tan(c/2 + (d*x)/2)^4 + 10*tan(c/2 + (d*x)/2)^6 - 5*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^10 - 1))","B"
509,1,46,44,3.585513,"\text{Not used}","int((a + b*tan(c + d*x))/cos(c + d*x)^4,x)","\frac{\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}+\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+\frac{b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+a\,\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"(a*tan(c + d*x) + (a*tan(c + d*x)^3)/3 + (b*tan(c + d*x)^2)/2 + (b*tan(c + d*x)^4)/4)/d","B"
510,1,105,52,5.414212,"\text{Not used}","int((a + b*tan(c + d*x))/cos(c + d*x)^3,x)","\frac{a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{-a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{2\,b}{3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(a*atanh(tan(c/2 + (d*x)/2)))/d - ((2*b)/3 + a*tan(c/2 + (d*x)/2) - a*tan(c/2 + (d*x)/2)^5 + 2*b*tan(c/2 + (d*x)/2)^4)/(d*(3*tan(c/2 + (d*x)/2)^2 - 3*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 1))","B"
511,1,23,28,3.691322,"\text{Not used}","int((a + b*tan(c + d*x))/cos(c + d*x)^2,x)","\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(2\,a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{2\,d}","Not used",1,"(tan(c + d*x)*(2*a + b*tan(c + d*x)))/(2*d)","B"
512,1,38,24,3.748648,"\text{Not used}","int((a + b*tan(c + d*x))/cos(c + d*x),x)","\frac{2\,a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{2\,b}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(2*a*atanh(tan(c/2 + (d*x)/2)))/d - (2*b)/(d*(tan(c/2 + (d*x)/2)^2 - 1))","B"
513,1,38,24,3.717746,"\text{Not used}","int(cos(c + d*x)*(a + b*tan(c + d*x)),x)","-\frac{2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)-a\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}","Not used",1,"-(2*cos(c/2 + (d*x)/2)*(b*cos(c/2 + (d*x)/2) - a*sin(c/2 + (d*x)/2)))/d","B"
514,1,31,43,3.683942,"\text{Not used}","int(cos(c + d*x)^2*(a + b*tan(c + d*x)),x)","\frac{a\,x}{2}-\frac{{\cos\left(c+d\,x\right)}^2\,\left(\frac{b}{2}-\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{2}\right)}{d}","Not used",1,"(a*x)/2 - (cos(c + d*x)^2*(b/2 - (a*tan(c + d*x))/2))/d","B"
515,1,47,44,3.756929,"\text{Not used}","int(cos(c + d*x)^3*(a + b*tan(c + d*x)),x)","\frac{2\,a\,\sin\left(c+d\,x\right)}{3\,d}-\frac{b\,{\cos\left(c+d\,x\right)}^3}{3\,d}+\frac{a\,{\cos\left(c+d\,x\right)}^2\,\sin\left(c+d\,x\right)}{3\,d}","Not used",1,"(2*a*sin(c + d*x))/(3*d) - (b*cos(c + d*x)^3)/(3*d) + (a*cos(c + d*x)^2*sin(c + d*x))/(3*d)","B"
516,1,41,65,3.709099,"\text{Not used}","int(cos(c + d*x)^4*(a + b*tan(c + d*x)),x)","\frac{3\,a\,x}{8}+\frac{{\cos\left(c+d\,x\right)}^4\,\left(\frac{3\,a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{8}+\frac{5\,a\,\mathrm{tan}\left(c+d\,x\right)}{8}-\frac{b}{4}\right)}{d}","Not used",1,"(3*a*x)/8 + (cos(c + d*x)^4*((5*a*tan(c + d*x))/8 - b/4 + (3*a*tan(c + d*x)^3)/8))/d","B"
517,1,132,119,3.675585,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x)^8,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(a^2+\frac{b^2}{3}\right)+a^2\,\mathrm{tan}\left(c+d\,x\right)+{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(\frac{3\,a^2}{5}+\frac{3\,b^2}{5}\right)+{\mathrm{tan}\left(c+d\,x\right)}^7\,\left(\frac{a^2}{7}+\frac{3\,b^2}{7}\right)+\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^9}{9}+a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{3\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^4}{2}+a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^6+\frac{a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^8}{4}}{d}","Not used",1,"(tan(c + d*x)^3*(a^2 + b^2/3) + a^2*tan(c + d*x) + tan(c + d*x)^5*((3*a^2)/5 + (3*b^2)/5) + tan(c + d*x)^7*(a^2/7 + (3*b^2)/7) + (b^2*tan(c + d*x)^9)/9 + a*b*tan(c + d*x)^2 + (3*a*b*tan(c + d*x)^4)/2 + a*b*tan(c + d*x)^6 + (a*b*tan(c + d*x)^8)/4)/d","B"
518,1,102,97,3.567272,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x)^6,x)","\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{2\,a^2}{3}+\frac{b^2}{3}\right)+{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(\frac{a^2}{5}+\frac{2\,b^2}{5}\right)+\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^7}{7}+a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2+a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^4+\frac{a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^6}{3}}{d}","Not used",1,"(a^2*tan(c + d*x) + tan(c + d*x)^3*((2*a^2)/3 + b^2/3) + tan(c + d*x)^5*(a^2/5 + (2*b^2)/5) + (b^2*tan(c + d*x)^7)/7 + a*b*tan(c + d*x)^2 + a*b*tan(c + d*x)^4 + (a*b*tan(c + d*x)^6)/3)/d","B"
519,1,71,75,3.548303,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x)^4,x)","\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)+{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{a^2}{3}+\frac{b^2}{3}\right)+\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}+a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^4}{2}}{d}","Not used",1,"(a^2*tan(c + d*x) + tan(c + d*x)^3*(a^2/3 + b^2/3) + (b^2*tan(c + d*x)^5)/5 + a*b*tan(c + d*x)^2 + (a*b*tan(c + d*x)^4)/2)/d","B"
520,1,39,22,3.560877,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x)^2,x)","\frac{a^2\,\mathrm{tan}\left(c+d\,x\right)+a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2+\frac{b^2\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3}}{d}","Not used",1,"(a^2*tan(c + d*x) + (b^2*tan(c + d*x)^3)/3 + a*b*tan(c + d*x)^2)/d","B"
521,1,50,49,3.583071,"\text{Not used}","int(cos(c + d*x)^2*(a + b*tan(c + d*x))^2,x)","x\,\left(\frac{a^2}{2}+\frac{b^2}{2}\right)-\frac{{\cos\left(c+d\,x\right)}^2\,\left(a\,b-\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{a^2}{2}-\frac{b^2}{2}\right)\right)}{d}","Not used",1,"x*(a^2/2 + b^2/2) - (cos(c + d*x)^2*(a*b - tan(c + d*x)*(a^2/2 - b^2/2)))/d","B"
522,1,83,88,3.655414,"\text{Not used}","int(cos(c + d*x)^4*(a + b*tan(c + d*x))^2,x)","x\,\left(\frac{3\,a^2}{8}+\frac{b^2}{8}\right)+\frac{\left(\frac{3\,a^2}{8}+\frac{b^2}{8}\right)\,{\mathrm{tan}\left(c+d\,x\right)}^3+\left(\frac{5\,a^2}{8}-\frac{b^2}{8}\right)\,\mathrm{tan}\left(c+d\,x\right)-\frac{a\,b}{2}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4+2\,{\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}","Not used",1,"x*((3*a^2)/8 + b^2/8) + (tan(c + d*x)*((5*a^2)/8 - b^2/8) - (a*b)/2 + tan(c + d*x)^3*((3*a^2)/8 + b^2/8))/(d*(2*tan(c + d*x)^2 + tan(c + d*x)^4 + 1))","B"
523,1,432,163,7.098605,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x)^7,x)","\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(\frac{5\,a^2}{8}-\frac{5\,b^2}{64}\right)}{d}+\frac{\left(\frac{11\,a^2}{8}+\frac{5\,b^2}{64}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{15}-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{14}+\left(\frac{397\,b^2}{192}-\frac{61\,a^2}{24}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{13}+4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}+\left(\frac{113\,a^2}{24}+\frac{895\,b^2}{192}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}-20\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+\left(\frac{1765\,b^2}{192}-\frac{85\,a^2}{24}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+20\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+\left(\frac{1765\,b^2}{192}-\frac{85\,a^2}{24}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-12\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+\left(\frac{113\,a^2}{24}+\frac{895\,b^2}{192}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+12\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\left(\frac{397\,b^2}{192}-\frac{61\,a^2}{24}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-\frac{4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{7}+\left(\frac{11\,a^2}{8}+\frac{5\,b^2}{64}\right)\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{4\,a\,b}{7}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{16}-8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{14}+28\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}-56\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+70\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-56\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+28\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-8\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(atanh(tan(c/2 + (d*x)/2))*((5*a^2)/8 - (5*b^2)/64))/d + ((4*a*b)/7 + tan(c/2 + (d*x)/2)^15*((11*a^2)/8 + (5*b^2)/64) - tan(c/2 + (d*x)/2)^3*((61*a^2)/24 - (397*b^2)/192) - tan(c/2 + (d*x)/2)^13*((61*a^2)/24 - (397*b^2)/192) + tan(c/2 + (d*x)/2)^5*((113*a^2)/24 + (895*b^2)/192) + tan(c/2 + (d*x)/2)^11*((113*a^2)/24 + (895*b^2)/192) - tan(c/2 + (d*x)/2)^7*((85*a^2)/24 - (1765*b^2)/192) - tan(c/2 + (d*x)/2)^9*((85*a^2)/24 - (1765*b^2)/192) + tan(c/2 + (d*x)/2)*((11*a^2)/8 + (5*b^2)/64) - (4*a*b*tan(c/2 + (d*x)/2)^2)/7 + 12*a*b*tan(c/2 + (d*x)/2)^4 - 12*a*b*tan(c/2 + (d*x)/2)^6 + 20*a*b*tan(c/2 + (d*x)/2)^8 - 20*a*b*tan(c/2 + (d*x)/2)^10 + 4*a*b*tan(c/2 + (d*x)/2)^12 - 4*a*b*tan(c/2 + (d*x)/2)^14)/(d*(28*tan(c/2 + (d*x)/2)^4 - 8*tan(c/2 + (d*x)/2)^2 - 56*tan(c/2 + (d*x)/2)^6 + 70*tan(c/2 + (d*x)/2)^8 - 56*tan(c/2 + (d*x)/2)^10 + 28*tan(c/2 + (d*x)/2)^12 - 8*tan(c/2 + (d*x)/2)^14 + tan(c/2 + (d*x)/2)^16 + 1))","B"
524,1,328,131,6.378266,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x)^5,x)","\frac{\left(\frac{5\,a^2}{4}+\frac{b^2}{8}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+\left(\frac{47\,b^2}{24}-\frac{7\,a^2}{4}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+\left(\frac{a^2}{2}+\frac{13\,b^2}{4}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-8\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+\left(\frac{a^2}{2}+\frac{13\,b^2}{4}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+8\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\left(\frac{47\,b^2}{24}-\frac{7\,a^2}{4}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-\frac{4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{5}+\left(\frac{5\,a^2}{4}+\frac{b^2}{8}\right)\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{4\,a\,b}{5}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+15\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(\frac{3\,a^2}{4}-\frac{b^2}{8}\right)}{d}","Not used",1,"((4*a*b)/5 + tan(c/2 + (d*x)/2)^5*(a^2/2 + (13*b^2)/4) + tan(c/2 + (d*x)/2)^7*(a^2/2 + (13*b^2)/4) + tan(c/2 + (d*x)/2)^11*((5*a^2)/4 + b^2/8) - tan(c/2 + (d*x)/2)^3*((7*a^2)/4 - (47*b^2)/24) - tan(c/2 + (d*x)/2)^9*((7*a^2)/4 - (47*b^2)/24) + tan(c/2 + (d*x)/2)*((5*a^2)/4 + b^2/8) - (4*a*b*tan(c/2 + (d*x)/2)^2)/5 + 8*a*b*tan(c/2 + (d*x)/2)^4 - 8*a*b*tan(c/2 + (d*x)/2)^6 + 4*a*b*tan(c/2 + (d*x)/2)^8 - 4*a*b*tan(c/2 + (d*x)/2)^10)/(d*(15*tan(c/2 + (d*x)/2)^4 - 6*tan(c/2 + (d*x)/2)^2 - 20*tan(c/2 + (d*x)/2)^6 + 15*tan(c/2 + (d*x)/2)^8 - 6*tan(c/2 + (d*x)/2)^10 + tan(c/2 + (d*x)/2)^12 + 1)) + (atanh(tan(c/2 + (d*x)/2))*((3*a^2)/4 - b^2/8))/d","B"
525,1,216,99,6.241597,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x)^3,x)","\frac{\left(a^2+\frac{b^2}{4}\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+\left(\frac{7\,b^2}{4}-a^2\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\left(\frac{7\,b^2}{4}-a^2\right)\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-\frac{4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{3}+\left(a^2+\frac{b^2}{4}\right)\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{4\,a\,b}{3}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(a^2-\frac{b^2}{4}\right)}{d}","Not used",1,"((4*a*b)/3 + tan(c/2 + (d*x)/2)*(a^2 + b^2/4) + tan(c/2 + (d*x)/2)^7*(a^2 + b^2/4) - tan(c/2 + (d*x)/2)^3*(a^2 - (7*b^2)/4) - tan(c/2 + (d*x)/2)^5*(a^2 - (7*b^2)/4) - (4*a*b*tan(c/2 + (d*x)/2)^2)/3 + 4*a*b*tan(c/2 + (d*x)/2)^4 - 4*a*b*tan(c/2 + (d*x)/2)^6)/(d*(6*tan(c/2 + (d*x)/2)^4 - 4*tan(c/2 + (d*x)/2)^2 - 4*tan(c/2 + (d*x)/2)^6 + tan(c/2 + (d*x)/2)^8 + 1)) + (atanh(tan(c/2 + (d*x)/2))*(a^2 - b^2/4))/d","B"
526,1,106,65,4.169145,"\text{Not used}","int((a + b*tan(c + d*x))^2/cos(c + d*x),x)","\frac{b^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+4\,a\,b}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}+\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(2\,a^2-b^2\right)}{d}","Not used",1,"(4*a*b + b^2*tan(c/2 + (d*x)/2)^3 + b^2*tan(c/2 + (d*x)/2) - 4*a*b*tan(c/2 + (d*x)/2)^2)/(d*(tan(c/2 + (d*x)/2)^4 - 2*tan(c/2 + (d*x)/2)^2 + 1)) + (atanh(tan(c/2 + (d*x)/2))*(2*a^2 - b^2))/d","B"
527,1,66,47,3.893883,"\text{Not used}","int(cos(c + d*x)*(a + b*tan(c + d*x))^2,x)","\frac{2\,b^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{4\,a\,b-\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(2\,a^2-2\,b^2\right)}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}","Not used",1,"(2*b^2*atanh(tan(c/2 + (d*x)/2)))/d - (4*a*b - tan(c/2 + (d*x)/2)*(2*a^2 - 2*b^2))/(d*(tan(c/2 + (d*x)/2)^2 + 1))","B"
528,1,77,90,3.760434,"\text{Not used}","int(cos(c + d*x)^3*(a + b*tan(c + d*x))^2,x)","\frac{2\,\left(\frac{\sin\left(c+d\,x\right)\,a^2\,{\cos\left(c+d\,x\right)}^2}{2}+\sin\left(c+d\,x\right)\,a^2-a\,b\,{\cos\left(c+d\,x\right)}^3-\frac{\sin\left(c+d\,x\right)\,b^2\,{\cos\left(c+d\,x\right)}^2}{2}+\frac{\sin\left(c+d\,x\right)\,b^2}{2}\right)}{3\,d}","Not used",1,"(2*(a^2*sin(c + d*x) + (b^2*sin(c + d*x))/2 + (a^2*cos(c + d*x)^2*sin(c + d*x))/2 - (b^2*cos(c + d*x)^2*sin(c + d*x))/2 - a*b*cos(c + d*x)^3))/(3*d)","B"
529,1,115,114,3.769435,"\text{Not used}","int(cos(c + d*x)^5*(a + b*tan(c + d*x))^2,x)","\frac{2\,\left(\frac{3\,\sin\left(c+d\,x\right)\,a^2\,{\cos\left(c+d\,x\right)}^4}{2}+2\,\sin\left(c+d\,x\right)\,a^2\,{\cos\left(c+d\,x\right)}^2+4\,\sin\left(c+d\,x\right)\,a^2-3\,a\,b\,{\cos\left(c+d\,x\right)}^5-\frac{3\,\sin\left(c+d\,x\right)\,b^2\,{\cos\left(c+d\,x\right)}^4}{2}+\frac{\sin\left(c+d\,x\right)\,b^2\,{\cos\left(c+d\,x\right)}^2}{2}+\sin\left(c+d\,x\right)\,b^2\right)}{15\,d}","Not used",1,"(2*(4*a^2*sin(c + d*x) + b^2*sin(c + d*x) + 2*a^2*cos(c + d*x)^2*sin(c + d*x) + (3*a^2*cos(c + d*x)^4*sin(c + d*x))/2 + (b^2*cos(c + d*x)^2*sin(c + d*x))/2 - (3*b^2*cos(c + d*x)^4*sin(c + d*x))/2 - 3*a*b*cos(c + d*x)^5))/(15*d)","B"
530,1,176,138,3.841378,"\text{Not used}","int(cos(c + d*x)^7*(a + b*tan(c + d*x))^2,x)","\frac{16\,a^2\,\sin\left(c+d\,x\right)}{35\,d}+\frac{8\,b^2\,\sin\left(c+d\,x\right)}{105\,d}+\frac{8\,a^2\,{\cos\left(c+d\,x\right)}^2\,\sin\left(c+d\,x\right)}{35\,d}+\frac{6\,a^2\,{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)}{35\,d}+\frac{a^2\,{\cos\left(c+d\,x\right)}^6\,\sin\left(c+d\,x\right)}{7\,d}+\frac{4\,b^2\,{\cos\left(c+d\,x\right)}^2\,\sin\left(c+d\,x\right)}{105\,d}+\frac{b^2\,{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)}{35\,d}-\frac{b^2\,{\cos\left(c+d\,x\right)}^6\,\sin\left(c+d\,x\right)}{7\,d}-\frac{2\,a\,b\,{\cos\left(c+d\,x\right)}^7}{7\,d}","Not used",1,"(16*a^2*sin(c + d*x))/(35*d) + (8*b^2*sin(c + d*x))/(105*d) + (8*a^2*cos(c + d*x)^2*sin(c + d*x))/(35*d) + (6*a^2*cos(c + d*x)^4*sin(c + d*x))/(35*d) + (a^2*cos(c + d*x)^6*sin(c + d*x))/(7*d) + (4*b^2*cos(c + d*x)^2*sin(c + d*x))/(105*d) + (b^2*cos(c + d*x)^4*sin(c + d*x))/(35*d) - (b^2*cos(c + d*x)^6*sin(c + d*x))/(7*d) - (2*a*b*cos(c + d*x)^7)/(7*d)","B"
531,1,175,194,3.676958,"\text{Not used}","int((a + b*tan(c + d*x))^3/cos(c + d*x)^8,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(\frac{3\,a^3}{5}+\frac{9\,a\,b^2}{5}\right)+{\mathrm{tan}\left(c+d\,x\right)}^7\,\left(\frac{a^3}{7}+\frac{9\,a\,b^2}{7}\right)+{\mathrm{tan}\left(c+d\,x\right)}^6\,\left(\frac{3\,a^2\,b}{2}+\frac{b^3}{2}\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{9\,a^2\,b}{4}+\frac{b^3}{4}\right)+a^3\,\mathrm{tan}\left(c+d\,x\right)+\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^{10}}{10}+\frac{3\,a^2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^9}{3}+a\,{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(a^2+b^2\right)+\frac{3\,b\,{\mathrm{tan}\left(c+d\,x\right)}^8\,\left(a^2+b^2\right)}{8}}{d}","Not used",1,"(tan(c + d*x)^5*((9*a*b^2)/5 + (3*a^3)/5) + tan(c + d*x)^7*((9*a*b^2)/7 + a^3/7) + tan(c + d*x)^6*((3*a^2*b)/2 + b^3/2) + tan(c + d*x)^4*((9*a^2*b)/4 + b^3/4) + a^3*tan(c + d*x) + (b^3*tan(c + d*x)^10)/10 + (3*a^2*b*tan(c + d*x)^2)/2 + (a*b^2*tan(c + d*x)^9)/3 + a*tan(c + d*x)^3*(a^2 + b^2) + (3*b*tan(c + d*x)^8*(a^2 + b^2))/8)/d","B"
532,1,139,138,3.604889,"\text{Not used}","int((a + b*tan(c + d*x))^3/cos(c + d*x)^6,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{2\,a^3}{3}+a\,b^2\right)+{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(\frac{a^3}{5}+\frac{6\,a\,b^2}{5}\right)+{\mathrm{tan}\left(c+d\,x\right)}^6\,\left(\frac{a^2\,b}{2}+\frac{b^3}{3}\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{3\,a^2\,b}{2}+\frac{b^3}{4}\right)+a^3\,\mathrm{tan}\left(c+d\,x\right)+\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^8}{8}+\frac{3\,a^2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^7}{7}}{d}","Not used",1,"(tan(c + d*x)^3*(a*b^2 + (2*a^3)/3) + tan(c + d*x)^5*((6*a*b^2)/5 + a^3/5) + tan(c + d*x)^6*((a^2*b)/2 + b^3/3) + tan(c + d*x)^4*((3*a^2*b)/2 + b^3/4) + a^3*tan(c + d*x) + (b^3*tan(c + d*x)^8)/8 + (3*a^2*b*tan(c + d*x)^2)/2 + (3*a*b^2*tan(c + d*x)^7)/7)/d","B"
533,1,97,75,3.573272,"\text{Not used}","int((a + b*tan(c + d*x))^3/cos(c + d*x)^4,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{a^3}{3}+a\,b^2\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(\frac{3\,a^2\,b}{4}+\frac{b^3}{4}\right)+a^3\,\mathrm{tan}\left(c+d\,x\right)+\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^6}{6}+\frac{3\,a^2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{3\,a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^5}{5}}{d}","Not used",1,"(tan(c + d*x)^3*(a*b^2 + a^3/3) + tan(c + d*x)^4*((3*a^2*b)/4 + b^3/4) + a^3*tan(c + d*x) + (b^3*tan(c + d*x)^6)/6 + (3*a^2*b*tan(c + d*x)^2)/2 + (3*a*b^2*tan(c + d*x)^5)/5)/d","B"
534,1,55,22,3.569263,"\text{Not used}","int((a + b*tan(c + d*x))^3/cos(c + d*x)^2,x)","\frac{a^3\,\mathrm{tan}\left(c+d\,x\right)+\frac{3\,a^2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+a\,b^2\,{\mathrm{tan}\left(c+d\,x\right)}^3+\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^4}{4}}{d}","Not used",1,"(a^3*tan(c + d*x) + (b^3*tan(c + d*x)^4)/4 + (3*a^2*b*tan(c + d*x)^2)/2 + a*b^2*tan(c + d*x)^3)/d","B"
535,1,141,86,3.662093,"\text{Not used}","int(cos(c + d*x)^2*(a + b*tan(c + d*x))^3,x)","\frac{b^3\,\ln\left(\frac{1}{{\cos\left(c+d\,x\right)}^2}\right)}{2\,d}+\frac{b^3\,{\cos\left(c+d\,x\right)}^2}{2\,d}+\frac{a^3\,\mathrm{atan}\left(\frac{\sin\left(c+d\,x\right)}{\cos\left(c+d\,x\right)}\right)}{2\,d}-\frac{3\,a^2\,b\,{\cos\left(c+d\,x\right)}^2}{2\,d}+\frac{3\,a\,b^2\,\mathrm{atan}\left(\frac{\sin\left(c+d\,x\right)}{\cos\left(c+d\,x\right)}\right)}{2\,d}+\frac{a^3\,\cos\left(c+d\,x\right)\,\sin\left(c+d\,x\right)}{2\,d}-\frac{3\,a\,b^2\,\cos\left(c+d\,x\right)\,\sin\left(c+d\,x\right)}{2\,d}","Not used",1,"(b^3*log(1/cos(c + d*x)^2))/(2*d) + (b^3*cos(c + d*x)^2)/(2*d) + (a^3*atan(sin(c + d*x)/cos(c + d*x)))/(2*d) - (3*a^2*b*cos(c + d*x)^2)/(2*d) + (3*a*b^2*atan(sin(c + d*x)/cos(c + d*x)))/(2*d) + (a^3*cos(c + d*x)*sin(c + d*x))/(2*d) - (3*a*b^2*cos(c + d*x)*sin(c + d*x))/(2*d)","B"
536,1,109,84,3.797214,"\text{Not used}","int(cos(c + d*x)^4*(a + b*tan(c + d*x))^3,x)","\frac{3\,a^3\,x}{8}-\frac{6\,a^2\,b-{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(3\,a^3+3\,a\,b^2\right)+2\,b^3+\mathrm{tan}\left(c+d\,x\right)\,\left(3\,a\,b^2-5\,a^3\right)+4\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{d\,\left(8\,{\mathrm{tan}\left(c+d\,x\right)}^4+16\,{\mathrm{tan}\left(c+d\,x\right)}^2+8\right)}+\frac{3\,a\,b^2\,x}{8}","Not used",1,"(3*a^3*x)/8 - (6*a^2*b - tan(c + d*x)^3*(3*a*b^2 + 3*a^3) + 2*b^3 + tan(c + d*x)*(3*a*b^2 - 5*a^3) + 4*b^3*tan(c + d*x)^2)/(d*(16*tan(c + d*x)^2 + 8*tan(c + d*x)^4 + 8)) + (3*a*b^2*x)/8","B"
537,1,423,159,7.339945,"\text{Not used}","int((a + b*tan(c + d*x))^3/cos(c + d*x)^5,x)","\frac{3\,a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(2\,a^2-b^2\right)}{8\,d}-\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(\frac{5\,a^3}{4}+\frac{3\,a\,b^2}{8}\right)+\frac{6\,a^2\,b}{5}+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(\frac{11\,a\,b^2}{2}-3\,a^3\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{11}\,\left(\frac{11\,a\,b^2}{2}-3\,a^3\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{13}\,\left(\frac{5\,a^3}{4}+\frac{3\,a\,b^2}{8}\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(\frac{9\,a^3}{4}+\frac{31\,a\,b^2}{8}\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,\left(\frac{9\,a^3}{4}+\frac{31\,a\,b^2}{8}\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}\,\left(12\,a^2\,b-4\,b^3\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(\frac{12\,a^2\,b}{5}-\frac{4\,b^3}{5}\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,\left(18\,a^2\,b+4\,b^3\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,\left(24\,a^2\,b-8\,b^3\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(\frac{66\,a^2\,b}{5}+\frac{8\,b^3}{5}\right)-\frac{4\,b^3}{35}+6\,a^2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{14}-7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{12}+21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+35\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-21\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+7\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(3*a*atanh(tan(c/2 + (d*x)/2))*(2*a^2 - b^2))/(8*d) - (tan(c/2 + (d*x)/2)*((3*a*b^2)/8 + (5*a^3)/4) + (6*a^2*b)/5 + tan(c/2 + (d*x)/2)^3*((11*a*b^2)/2 - 3*a^3) - tan(c/2 + (d*x)/2)^11*((11*a*b^2)/2 - 3*a^3) - tan(c/2 + (d*x)/2)^13*((3*a*b^2)/8 + (5*a^3)/4) + tan(c/2 + (d*x)/2)^5*((31*a*b^2)/8 + (9*a^3)/4) - tan(c/2 + (d*x)/2)^9*((31*a*b^2)/8 + (9*a^3)/4) - tan(c/2 + (d*x)/2)^10*(12*a^2*b - 4*b^3) - tan(c/2 + (d*x)/2)^2*((12*a^2*b)/5 - (4*b^3)/5) + tan(c/2 + (d*x)/2)^8*(18*a^2*b + 4*b^3) - tan(c/2 + (d*x)/2)^6*(24*a^2*b - 8*b^3) + tan(c/2 + (d*x)/2)^4*((66*a^2*b)/5 + (8*b^3)/5) - (4*b^3)/35 + 6*a^2*b*tan(c/2 + (d*x)/2)^12)/(d*(7*tan(c/2 + (d*x)/2)^2 - 21*tan(c/2 + (d*x)/2)^4 + 35*tan(c/2 + (d*x)/2)^6 - 35*tan(c/2 + (d*x)/2)^8 + 21*tan(c/2 + (d*x)/2)^10 - 7*tan(c/2 + (d*x)/2)^12 + tan(c/2 + (d*x)/2)^14 - 1))","B"
538,1,293,126,7.324508,"\text{Not used}","int((a + b*tan(c + d*x))^3/cos(c + d*x)^3,x)","\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,\left(a^3+\frac{3\,a\,b^2}{4}\right)-2\,a^2\,b-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(\frac{9\,a\,b^2}{2}-2\,a^3\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,\left(\frac{9\,a\,b^2}{2}-2\,a^3\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(4\,a^2\,b-\frac{4\,b^3}{3}\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(8\,a^2\,b+\frac{4\,b^3}{3}\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,\left(12\,a^2\,b-4\,b^3\right)+\frac{4\,b^3}{15}-\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^3+\frac{3\,a\,b^2}{4}\right)-6\,a^2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}-\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(\frac{3\,a\,b^2}{4}-a^3\right)}{d}","Not used",1,"(tan(c/2 + (d*x)/2)^9*((3*a*b^2)/4 + a^3) - 2*a^2*b - tan(c/2 + (d*x)/2)^3*((9*a*b^2)/2 - 2*a^3) + tan(c/2 + (d*x)/2)^7*((9*a*b^2)/2 - 2*a^3) + tan(c/2 + (d*x)/2)^2*(4*a^2*b - (4*b^3)/3) - tan(c/2 + (d*x)/2)^4*(8*a^2*b + (4*b^3)/3) + tan(c/2 + (d*x)/2)^6*(12*a^2*b - 4*b^3) + (4*b^3)/15 - tan(c/2 + (d*x)/2)*((3*a*b^2)/4 + a^3) - 6*a^2*b*tan(c/2 + (d*x)/2)^8)/(d*(5*tan(c/2 + (d*x)/2)^2 - 10*tan(c/2 + (d*x)/2)^4 + 10*tan(c/2 + (d*x)/2)^6 - 5*tan(c/2 + (d*x)/2)^8 + tan(c/2 + (d*x)/2)^10 - 1)) - (atanh(tan(c/2 + (d*x)/2))*((3*a*b^2)/4 - a^3))/d","B"
539,1,160,91,5.534560,"\text{Not used}","int((a + b*tan(c + d*x))^3/cos(c + d*x),x)","-\frac{\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(3\,a\,b^2-2\,a^3\right)}{d}-\frac{6\,a^2\,b-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(12\,a^2\,b-4\,b^3\right)-\frac{4\,b^3}{3}+3\,a\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+6\,a^2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-3\,a\,b^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"- (atanh(tan(c/2 + (d*x)/2))*(3*a*b^2 - 2*a^3))/d - (6*a^2*b - tan(c/2 + (d*x)/2)^2*(12*a^2*b - 4*b^3) - (4*b^3)/3 + 3*a*b^2*tan(c/2 + (d*x)/2) + 6*a^2*b*tan(c/2 + (d*x)/2)^4 - 3*a*b^2*tan(c/2 + (d*x)/2)^5)/(d*(3*tan(c/2 + (d*x)/2)^2 - 3*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 - 1))","B"
540,1,116,84,4.250985,"\text{Not used}","int(cos(c + d*x)*(a + b*tan(c + d*x))^3,x)","\frac{6\,a\,b^2\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{d}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(6\,a\,b^2-2\,a^3\right)-6\,a^2\,b-\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(6\,a\,b^2-2\,a^3\right)+4\,b^3+6\,a^2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-1\right)}","Not used",1,"(6*a*b^2*atanh(tan(c/2 + (d*x)/2)))/d - (tan(c/2 + (d*x)/2)^3*(6*a*b^2 - 2*a^3) - 6*a^2*b - tan(c/2 + (d*x)/2)*(6*a*b^2 - 2*a^3) + 4*b^3 + 6*a^2*b*tan(c/2 + (d*x)/2)^2)/(d*(tan(c/2 + (d*x)/2)^4 - 1))","B"
541,1,104,70,3.706117,"\text{Not used}","int(cos(c + d*x)^3*(a + b*tan(c + d*x))^3,x)","\frac{\frac{\sin\left(c+d\,x\right)\,a^3\,{\cos\left(c+d\,x\right)}^2}{3}+\frac{2\,\sin\left(c+d\,x\right)\,a^3}{3}-a^2\,b\,{\cos\left(c+d\,x\right)}^3-\sin\left(c+d\,x\right)\,a\,b^2\,{\cos\left(c+d\,x\right)}^2+\sin\left(c+d\,x\right)\,a\,b^2+\frac{b^3\,{\cos\left(c+d\,x\right)}^3}{3}-b^3\,\cos\left(c+d\,x\right)}{d}","Not used",1,"((2*a^3*sin(c + d*x))/3 - b^3*cos(c + d*x) + (b^3*cos(c + d*x)^3)/3 - a^2*b*cos(c + d*x)^3 + (a^3*cos(c + d*x)^2*sin(c + d*x))/3 + a*b^2*sin(c + d*x) - a*b^2*cos(c + d*x)^2*sin(c + d*x))/d","B"
542,1,147,105,3.809521,"\text{Not used}","int(cos(c + d*x)^5*(a + b*tan(c + d*x))^3,x)","\frac{2\,\left(\frac{3\,\sin\left(c+d\,x\right)\,a^3\,{\cos\left(c+d\,x\right)}^4}{2}+2\,\sin\left(c+d\,x\right)\,a^3\,{\cos\left(c+d\,x\right)}^2+4\,\sin\left(c+d\,x\right)\,a^3-\frac{9\,a^2\,b\,{\cos\left(c+d\,x\right)}^5}{2}-\frac{9\,\sin\left(c+d\,x\right)\,a\,b^2\,{\cos\left(c+d\,x\right)}^4}{2}+\frac{3\,\sin\left(c+d\,x\right)\,a\,b^2\,{\cos\left(c+d\,x\right)}^2}{2}+3\,\sin\left(c+d\,x\right)\,a\,b^2+\frac{3\,b^3\,{\cos\left(c+d\,x\right)}^5}{2}-\frac{5\,b^3\,{\cos\left(c+d\,x\right)}^3}{2}\right)}{15\,d}","Not used",1,"(2*(4*a^3*sin(c + d*x) - (5*b^3*cos(c + d*x)^3)/2 + (3*b^3*cos(c + d*x)^5)/2 - (9*a^2*b*cos(c + d*x)^5)/2 + 2*a^3*cos(c + d*x)^2*sin(c + d*x) + (3*a^3*cos(c + d*x)^4*sin(c + d*x))/2 + 3*a*b^2*sin(c + d*x) + (3*a*b^2*cos(c + d*x)^2*sin(c + d*x))/2 - (9*a*b^2*cos(c + d*x)^4*sin(c + d*x))/2))/(15*d)","B"
543,1,214,142,3.944100,"\text{Not used}","int(cos(c + d*x)^7*(a + b*tan(c + d*x))^3,x)","\frac{16\,a^3\,\sin\left(c+d\,x\right)}{35\,d}-\frac{b^3\,{\cos\left(c+d\,x\right)}^5}{5\,d}+\frac{b^3\,{\cos\left(c+d\,x\right)}^7}{7\,d}-\frac{3\,a^2\,b\,{\cos\left(c+d\,x\right)}^7}{7\,d}+\frac{8\,a^3\,{\cos\left(c+d\,x\right)}^2\,\sin\left(c+d\,x\right)}{35\,d}+\frac{6\,a^3\,{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)}{35\,d}+\frac{a^3\,{\cos\left(c+d\,x\right)}^6\,\sin\left(c+d\,x\right)}{7\,d}+\frac{8\,a\,b^2\,\sin\left(c+d\,x\right)}{35\,d}+\frac{4\,a\,b^2\,{\cos\left(c+d\,x\right)}^2\,\sin\left(c+d\,x\right)}{35\,d}+\frac{3\,a\,b^2\,{\cos\left(c+d\,x\right)}^4\,\sin\left(c+d\,x\right)}{35\,d}-\frac{3\,a\,b^2\,{\cos\left(c+d\,x\right)}^6\,\sin\left(c+d\,x\right)}{7\,d}","Not used",1,"(16*a^3*sin(c + d*x))/(35*d) - (b^3*cos(c + d*x)^5)/(5*d) + (b^3*cos(c + d*x)^7)/(7*d) - (3*a^2*b*cos(c + d*x)^7)/(7*d) + (8*a^3*cos(c + d*x)^2*sin(c + d*x))/(35*d) + (6*a^3*cos(c + d*x)^4*sin(c + d*x))/(35*d) + (a^3*cos(c + d*x)^6*sin(c + d*x))/(7*d) + (8*a*b^2*sin(c + d*x))/(35*d) + (4*a*b^2*cos(c + d*x)^2*sin(c + d*x))/(35*d) + (3*a*b^2*cos(c + d*x)^4*sin(c + d*x))/(35*d) - (3*a*b^2*cos(c + d*x)^6*sin(c + d*x))/(7*d)","B"
544,1,119,116,3.730352,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + b*tan(c + d*x))),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,b\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{1}{b}+\frac{a^2}{2\,b^3}\right)}{d}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}{b^5\,d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,b^2\,d}-\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{2}{b}+\frac{a^2}{b^3}\right)}{b\,d}","Not used",1,"tan(c + d*x)^4/(4*b*d) + (tan(c + d*x)^2*(1/b + a^2/(2*b^3)))/d + (log(a + b*tan(c + d*x))*(a^4 + b^4 + 2*a^2*b^2))/(b^5*d) - (a*tan(c + d*x)^3)/(3*b^2*d) - (a*tan(c + d*x)*(2/b + a^2/b^3))/(b*d)","B"
545,1,57,59,3.590011,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + b*tan(c + d*x))),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b\,d}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(a^2+b^2\right)}{b^3\,d}-\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{b^2\,d}","Not used",1,"tan(c + d*x)^2/(2*b*d) + (log(a + b*tan(c + d*x))*(a^2 + b^2))/(b^3*d) - (a*tan(c + d*x))/(b^2*d)","B"
546,1,18,18,3.585005,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + b*tan(c + d*x))),x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b\,d}","Not used",1,"log(a + b*tan(c + d*x))/(b*d)","B"
547,1,156,93,3.900784,"\text{Not used}","int(cos(c + d*x)^2/(a + b*tan(c + d*x)),x)","\frac{{\cos\left(c+d\,x\right)}^2\,\left(\frac{b}{2\,\left(a^2+b^2\right)}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{2\,\left(a^2+b^2\right)}\right)}{d}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(2\,b+a\,1{}\mathrm{i}\right)}{4\,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\,2{}\mathrm{i}\right)}{4\,d\,\left(-a^2\,1{}\mathrm{i}+2\,a\,b+b^2\,1{}\mathrm{i}\right)}+\frac{b^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,{\left(a^2+b^2\right)}^2}","Not used",1,"(cos(c + d*x)^2*(b/(2*(a^2 + b^2)) + (a*tan(c + d*x))/(2*(a^2 + b^2))))/d - (log(tan(c + d*x) + 1i)*(a*1i + 2*b))/(4*d*(a*b*2i - a^2 + b^2)) - (log(tan(c + d*x) - 1i)*(a + b*2i))/(4*d*(2*a*b - a^2*1i + b^2*1i)) + (b^3*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)^2)","B"
548,1,318,152,4.198730,"\text{Not used}","int(cos(c + d*x)^4/(a + b*tan(c + d*x)),x)","\frac{\frac{a^2\,b+3\,b^3}{4\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{b^3\,{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(3\,a^3+7\,a\,b^2\right)}{8\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(5\,a^3+9\,a\,b^2\right)}{8\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^4+2\,{\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-a^2\,3{}\mathrm{i}+9\,a\,b+b^2\,8{}\mathrm{i}\right)}{16\,d\,\left(-a^3-a^2\,b\,3{}\mathrm{i}+3\,a\,b^2+b^3\,1{}\mathrm{i}\right)}+\frac{b^5\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,{\left(a^2+b^2\right)}^3}-\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-3\,a^2+a\,b\,9{}\mathrm{i}+8\,b^2\right)}{16\,d\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}","Not used",1,"((a^2*b + 3*b^3)/(4*(a^4 + b^4 + 2*a^2*b^2)) + (b^3*tan(c + d*x)^2)/(2*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)^3*(7*a*b^2 + 3*a^3))/(8*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(9*a*b^2 + 5*a^3))/(8*(a^4 + b^4 + 2*a^2*b^2)))/(d*(2*tan(c + d*x)^2 + tan(c + d*x)^4 + 1)) - (log(tan(c + d*x) - 1i)*(9*a*b - a^2*3i + b^2*8i))/(16*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) + (b^5*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)^3) - (log(tan(c + d*x) + 1i)*(a*b*9i - 3*a^2 + 8*b^2))/(16*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3))","B"
549,1,724,140,5.401256,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + b*tan(c + d*x))),x)","\frac{b^3\,\left(\cos\left(c+d\,x\right)+\frac{\cos\left(2\,c+2\,d\,x\right)}{2}+\frac{\cos\left(3\,c+3\,d\,x\right)}{3}+\frac{5}{6}\right)-b^2\,\left(\frac{a\,\sin\left(2\,c+2\,d\,x\right)}{4}+\frac{3\,a\,\mathrm{atanh}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(3\,c+3\,d\,x\right)}{4}+\frac{9\,a\,\cos\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)}{4}\right)+b\,\left(\frac{3\,a^2\,\cos\left(c+d\,x\right)}{4}+\frac{a^2}{2}+\frac{a^2\,\cos\left(2\,c+2\,d\,x\right)}{2}+\frac{a^2\,\cos\left(3\,c+3\,d\,x\right)}{4}\right)+\frac{\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\cos\left(3\,c+3\,d\,x\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{2}-\frac{3\,a^3\,\cos\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)}{2}-\frac{a^3\,\mathrm{atanh}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(3\,c+3\,d\,x\right)}{2}+\frac{3\,\cos\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{2}}{b^4\,d\,\left(\frac{3\,\cos\left(c+d\,x\right)}{4}+\frac{\cos\left(3\,c+3\,d\,x\right)}{4}\right)}","Not used",1,"(b^3*(cos(c + d*x) + cos(2*c + 2*d*x)/2 + cos(3*c + 3*d*x)/3 + 5/6) - b^2*((a*sin(2*c + 2*d*x))/4 + (3*a*atanh(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2))*cos(3*c + 3*d*x))/4 + (9*a*cos(c + d*x)*atanh(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2)))/4) + b*((3*a^2*cos(c + d*x))/4 + a^2/2 + (a^2*cos(2*c + 2*d*x))/2 + (a^2*cos(3*c + 3*d*x))/4) + (atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*cos(3*c + 3*d*x)*((a^2 + b^2)^3)^(1/2))/2 - (3*a^3*cos(c + d*x)*atanh(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2)))/2 - (a^3*atanh(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2))*cos(3*c + 3*d*x))/2 + (3*cos(c + d*x)*atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*((a^2 + b^2)^3)^(1/2))/2)/(b^4*d*((3*cos(c + d*x))/4 + cos(3*c + 3*d*x)/4))","B"
550,1,310,79,3.872145,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + b*tan(c + d*x))),x)","\frac{2\,\mathrm{atanh}\left(\frac{64\,a^2\,\sqrt{a^2+b^2}}{64\,a^2\,b+\frac{64\,a^4}{b}+128\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+128\,a\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}+\frac{128\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}{64\,a^2+\frac{64\,a^4}{b^2}+\frac{128\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{b}+128\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}+\frac{64\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}{64\,a^4+128\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b+64\,a^2\,b^2+128\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^3}\right)\,\sqrt{a^2+b^2}}{b^2\,d}-\frac{2\,a\,\mathrm{atanh}\left(\frac{64\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{64\,a^2+\frac{64\,a^4}{b^2}}+\frac{64\,a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{64\,a^4+64\,a^2\,b^2}\right)}{b^2\,d}-\frac{2}{b\,d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}","Not used",1,"(2*atanh((64*a^2*(a^2 + b^2)^(1/2))/(64*a^2*b + (64*a^4)/b + 128*a^3*tan(c/2 + (d*x)/2) + 128*a*b^2*tan(c/2 + (d*x)/2)) + (128*a*tan(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2))/(64*a^2 + (64*a^4)/b^2 + (128*a^3*tan(c/2 + (d*x)/2))/b + 128*a*b*tan(c/2 + (d*x)/2)) + (64*a^3*tan(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2))/(64*a^4 + 64*a^2*b^2 + 128*a*b^3*tan(c/2 + (d*x)/2) + 128*a^3*b*tan(c/2 + (d*x)/2)))*(a^2 + b^2)^(1/2))/(b^2*d) - (2*a*atanh((64*a^2*tan(c/2 + (d*x)/2))/(64*a^2 + (64*a^4)/b^2) + (64*a^4*tan(c/2 + (d*x)/2))/(64*a^4 + 64*a^2*b^2)))/(b^2*d) - 2/(b*d*(tan(c/2 + (d*x)/2)^2 - 1))","B"
551,1,39,46,3.751555,"\text{Not used}","int(1/(cos(c + d*x)*(a + b*tan(c + d*x))),x)","-\frac{2\,\mathrm{atanh}\left(\frac{b-a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{d\,\sqrt{a^2+b^2}}","Not used",1,"-(2*atanh((b - a*tan(c/2 + (d*x)/2))/(a^2 + b^2)^(1/2)))/(d*(a^2 + b^2)^(1/2))","B"
552,1,110,90,3.836974,"\text{Not used}","int(cos(c + d*x)/(a + b*tan(c + d*x)),x)","\frac{\frac{2\,b}{a^2+b^2}+\frac{2\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a^2+b^2}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}-\frac{2\,b^2\,\mathrm{atanh}\left(\frac{a^2\,b+b^3-a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^2+b^2\right)}{{\left(a^2+b^2\right)}^{3/2}}\right)}{d\,{\left(a^2+b^2\right)}^{3/2}}","Not used",1,"((2*b)/(a^2 + b^2) + (2*a*tan(c/2 + (d*x)/2))/(a^2 + b^2))/(d*(tan(c/2 + (d*x)/2)^2 + 1)) - (2*b^2*atanh((a^2*b + b^3 - a*tan(c/2 + (d*x)/2)*(a^2 + b^2))/(a^2 + b^2)^(3/2)))/(d*(a^2 + b^2)^(3/2))","B"
553,1,342,165,6.338633,"\text{Not used}","int(cos(c + d*x)^3/(a + b*tan(c + d*x)),x)","\frac{\frac{\frac{2\,a^2\,b}{3}+\frac{8\,b^3}{3}}{a^4+2\,a^2\,b^2+b^4}+\frac{4\,b^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{a^4+2\,a^2\,b^2+b^4}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(2\,a^3+4\,a\,b^2\right)}{a^4+2\,a^2\,b^2+b^4}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(\frac{4\,a^3}{3}+\frac{16\,a\,b^2}{3}\right)}{a^4+2\,a^2\,b^2+b^4}+\frac{2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^3+2\,a\,b^2\right)}{a^4+2\,a^2\,b^2+b^4}+\frac{2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(a^2+2\,b^2\right)}{a^4+2\,a^2\,b^2+b^4}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+1\right)}-\frac{2\,b^4\,\mathrm{atanh}\left(\frac{a^4\,b+b^5+2\,a^2\,b^3-a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}{{\left(a^2+b^2\right)}^{5/2}}\right)}{d\,{\left(a^2+b^2\right)}^{5/2}}","Not used",1,"(((2*a^2*b)/3 + (8*b^3)/3)/(a^4 + b^4 + 2*a^2*b^2) + (4*b^3*tan(c/2 + (d*x)/2)^2)/(a^4 + b^4 + 2*a^2*b^2) + (tan(c/2 + (d*x)/2)^5*(4*a*b^2 + 2*a^3))/(a^4 + b^4 + 2*a^2*b^2) + (tan(c/2 + (d*x)/2)^3*((16*a*b^2)/3 + (4*a^3)/3))/(a^4 + b^4 + 2*a^2*b^2) + (2*tan(c/2 + (d*x)/2)*(2*a*b^2 + a^3))/(a^4 + b^4 + 2*a^2*b^2) + (2*b*tan(c/2 + (d*x)/2)^4*(a^2 + 2*b^2))/(a^4 + b^4 + 2*a^2*b^2))/(d*(3*tan(c/2 + (d*x)/2)^2 + 3*tan(c/2 + (d*x)/2)^4 + tan(c/2 + (d*x)/2)^6 + 1)) - (2*b^4*atanh((a^4*b + b^5 + 2*a^2*b^3 - a*tan(c/2 + (d*x)/2)*(a^4 + b^4 + 2*a^2*b^2))/(a^2 + b^2)^(5/2)))/(d*(a^2 + b^2)^(5/2))","B"
554,1,258,178,3.633463,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + b*tan(c + d*x))^2),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{a^3}{b^5}-\frac{a\,\left(\frac{3}{b^2}+\frac{3\,a^2}{b^4}\right)}{b}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5}{5\,b^2\,d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(\frac{1}{b^2}+\frac{a^2}{b^4}\right)}{d}-\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{a^2\,\left(\frac{3}{b^2}+\frac{3\,a^2}{b^4}\right)}{b^2}-\frac{3}{b^2}+\frac{2\,a\,\left(\frac{2\,a^3}{b^5}-\frac{2\,a\,\left(\frac{3}{b^2}+\frac{3\,a^2}{b^4}\right)}{b}\right)}{b}\right)}{d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^4}{2\,b^3\,d}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(6\,a^5+12\,a^3\,b^2+6\,a\,b^4\right)}{b^7\,d}-\frac{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}{b\,d\,\left(\mathrm{tan}\left(c+d\,x\right)\,b^7+a\,b^6\right)}","Not used",1,"(tan(c + d*x)^2*(a^3/b^5 - (a*(3/b^2 + (3*a^2)/b^4))/b))/d + tan(c + d*x)^5/(5*b^2*d) + (tan(c + d*x)^3*(1/b^2 + a^2/b^4))/d - (tan(c + d*x)*((a^2*(3/b^2 + (3*a^2)/b^4))/b^2 - 3/b^2 + (2*a*((2*a^3)/b^5 - (2*a*(3/b^2 + (3*a^2)/b^4))/b))/b))/d - (a*tan(c + d*x)^4)/(2*b^3*d) - (log(a + b*tan(c + d*x))*(6*a*b^4 + 6*a^5 + 12*a^3*b^2))/(b^7*d) - (a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)/(b*d*(a*b^6 + b^7*tan(c + d*x)))","B"
555,1,130,116,3.713942,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + b*tan(c + d*x))^2),x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3\,b^2\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{2}{b^2}+\frac{3\,a^2}{b^4}\right)}{d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^2}{b^3\,d}-\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(4\,a^3+4\,a\,b^2\right)}{b^5\,d}-\frac{a^4+2\,a^2\,b^2+b^4}{b\,d\,\left(\mathrm{tan}\left(c+d\,x\right)\,b^5+a\,b^4\right)}","Not used",1,"tan(c + d*x)^3/(3*b^2*d) + (tan(c + d*x)*(2/b^2 + (3*a^2)/b^4))/d - (a*tan(c + d*x)^2)/(b^3*d) - (log(a + b*tan(c + d*x))*(4*a*b^2 + 4*a^3))/(b^5*d) - (a^4 + b^4 + 2*a^2*b^2)/(b*d*(a*b^4 + b^5*tan(c + d*x)))","B"
556,1,67,61,3.715207,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + b*tan(c + d*x))^2),x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{b^2\,d}-\frac{a^2+b^2}{b\,d\,\left(\mathrm{tan}\left(c+d\,x\right)\,b^3+a\,b^2\right)}-\frac{2\,a\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b^3\,d}","Not used",1,"tan(c + d*x)/(b^2*d) - (a^2 + b^2)/(b*d*(a*b^2 + b^3*tan(c + d*x))) - (2*a*log(a + b*tan(c + d*x)))/(b^3*d)","B"
557,1,20,20,3.652721,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + b*tan(c + d*x))^2),x)","-\frac{1}{b\,d\,\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}","Not used",1,"-1/(b*d*(a + b*tan(c + d*x)))","B"
558,1,246,152,3.927810,"\text{Not used}","int(cos(c + d*x)^2/(a + b*tan(c + d*x))^2,x)","\frac{\frac{a^2\,b-b^3}{{\left(a^2+b^2\right)}^2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^2\,b-3\,b^3\right)}{2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{a\,\mathrm{tan}\left(c+d\,x\right)}{2\,\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+b\,\mathrm{tan}\left(c+d\,x\right)+a\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-3\,b+a\,1{}\mathrm{i}\right)}{4\,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\,3{}\mathrm{i}\right)}{4\,d\,\left(-a^3\,1{}\mathrm{i}-3\,a^2\,b+a\,b^2\,3{}\mathrm{i}+b^3\right)}+\frac{4\,a\,b^3\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,{\left(a^2+b^2\right)}^3}","Not used",1,"((a^2*b - b^3)/(a^2 + b^2)^2 + (tan(c + d*x)^2*(a^2*b - 3*b^3))/(2*(a^4 + b^4 + 2*a^2*b^2)) + (a*tan(c + d*x))/(2*(a^2 + b^2)))/(d*(a + b*tan(c + d*x) + a*tan(c + d*x)^2 + b*tan(c + d*x)^3)) + (log(tan(c + d*x) - 1i)*(a*1i - 3*b))/(4*d*(3*a*b^2 - a^2*b*3i - a^3 + b^3*1i)) + (log(tan(c + d*x) + 1i)*(a - b*3i))/(4*d*(a*b^2*3i - 3*a^2*b - a^3*1i + b^3)) + (4*a*b^3*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)^3)","B"
559,1,463,235,4.769524,"\text{Not used}","int(cos(c + d*x)^4/(a + b*tan(c + d*x))^2,x)","\frac{\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(a^4\,b+4\,a^2\,b^3-5\,b^5\right)}{8\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{a^4\,b+5\,a^2\,b^3-2\,b^5}{2\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(5\,a^3+11\,a\,b^2\right)}{8\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(a^3+3\,a\,b^2\right)}{8\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(5\,a^4\,b+28\,a^2\,b^3-25\,b^5\right)}{8\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^5+a\,{\mathrm{tan}\left(c+d\,x\right)}^4+2\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3+2\,a\,{\mathrm{tan}\left(c+d\,x\right)}^2+b\,\mathrm{tan}\left(c+d\,x\right)+a\right)}+\frac{3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(-a^2+a\,b\,4{}\mathrm{i}+5\,b^2\right)}{16\,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{3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(a^2+a\,b\,4{}\mathrm{i}-5\,b^2\right)}{16\,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{6\,a\,b^5\,\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{d\,{\left(a^2+b^2\right)}^4}","Not used",1,"((3*tan(c + d*x)^4*(a^4*b - 5*b^5 + 4*a^2*b^3))/(8*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (a^4*b - 2*b^5 + 5*a^2*b^3)/(2*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)*(11*a*b^2 + 5*a^3))/(8*(a^4 + b^4 + 2*a^2*b^2)) + (3*tan(c + d*x)^3*(3*a*b^2 + a^3))/(8*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)^2*(5*a^4*b - 25*b^5 + 28*a^2*b^3))/(8*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a + b*tan(c + d*x) + 2*a*tan(c + d*x)^2 + a*tan(c + d*x)^4 + 2*b*tan(c + d*x)^3 + b*tan(c + d*x)^5)) + (3*log(tan(c + d*x) + 1i)*(a*b*4i - a^2 + 5*b^2))/(16*d*(4*a^3*b - 4*a*b^3 + a^4*1i + b^4*1i - a^2*b^2*6i)) + (3*log(tan(c + d*x) - 1i)*(a*b*4i + a^2 - 5*b^2))/(16*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i)) + (6*a*b^5*log(a + b*tan(c + d*x)))/(d*(a^2 + b^2)^4)","B"
560,1,2654,235,6.544929,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + b*tan(c + d*x))^2),x)","-\frac{\frac{9\,a\,b^5}{64}+\frac{15\,a^5\,b}{8}+\frac{b^6\,\sin\left(c+d\,x\right)}{8}+\frac{115\,a^3\,b^3}{48}+\frac{3\,b^6\,\sin\left(3\,c+3\,d\,x\right)}{16}+\frac{b^6\,\sin\left(5\,c+5\,d\,x\right)}{16}+\frac{5\,a\,b^5\,\cos\left(2\,c+2\,d\,x\right)}{8}+\frac{5\,a^5\,b\,\cos\left(2\,c+2\,d\,x\right)}{2}+\frac{5\,a\,b^5\,\cos\left(3\,c+3\,d\,x\right)}{16}+\frac{25\,a^5\,b\,\cos\left(3\,c+3\,d\,x\right)}{16}+\frac{15\,a\,b^5\,\cos\left(4\,c+4\,d\,x\right)}{64}+\frac{5\,a^5\,b\,\cos\left(4\,c+4\,d\,x\right)}{8}+\frac{a\,b^5\,\cos\left(5\,c+5\,d\,x\right)}{16}+\frac{5\,a^5\,b\,\cos\left(5\,c+5\,d\,x\right)}{16}+\frac{25\,a^3\,b^3\,\cos\left(c+d\,x\right)}{6}+\frac{5\,a^2\,b^4\,\sin\left(c+d\,x\right)}{6}+\frac{5\,a^4\,b^2\,\sin\left(c+d\,x\right)}{8}+\frac{10\,a^3\,b^3\,\cos\left(2\,c+2\,d\,x\right)}{3}+\frac{25\,a^3\,b^3\,\cos\left(3\,c+3\,d\,x\right)}{12}+\frac{15\,a^3\,b^3\,\cos\left(4\,c+4\,d\,x\right)}{16}+\frac{5\,a^3\,b^3\,\cos\left(5\,c+5\,d\,x\right)}{12}+\frac{95\,a^2\,b^4\,\sin\left(2\,c+2\,d\,x\right)}{96}+\frac{5\,a^4\,b^2\,\sin\left(2\,c+2\,d\,x\right)}{8}+\frac{5\,a^2\,b^4\,\sin\left(3\,c+3\,d\,x\right)}{4}+\frac{15\,a^4\,b^2\,\sin\left(3\,c+3\,d\,x\right)}{16}+\frac{25\,a^2\,b^4\,\sin\left(4\,c+4\,d\,x\right)}{64}+\frac{5\,a^4\,b^2\,\sin\left(4\,c+4\,d\,x\right)}{16}+\frac{5\,a^2\,b^4\,\sin\left(5\,c+5\,d\,x\right)}{12}+\frac{5\,a^4\,b^2\,\sin\left(5\,c+5\,d\,x\right)}{16}+\frac{5\,a\,b^5\,\cos\left(c+d\,x\right)}{8}+\frac{25\,a^5\,b\,\cos\left(c+d\,x\right)}{8}+\frac{25\,a^3\,\cos\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{4}+\frac{25\,a^3\,\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\cos\left(3\,c+3\,d\,x\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{8}+\frac{5\,a^3\,\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\cos\left(5\,c+5\,d\,x\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{8}+\frac{15\,a^2\,b\,\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\sin\left(3\,c+3\,d\,x\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{8}+\frac{5\,a^2\,b\,\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\sin\left(5\,c+5\,d\,x\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{8}+\frac{5\,a^2\,b\,\mathrm{atanh}\left(\frac{a^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+2\,b^2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+a\,b\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+2\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^2+4\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3+\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^4+2\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^5}\right)\,\sin\left(c+d\,x\right)\,\sqrt{{\left(a^2+b^2\right)}^3}}{4}+\frac{a^6\,\cos\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,25{}\mathrm{i}}{4}+\frac{a^6\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(3\,c+3\,d\,x\right)\,25{}\mathrm{i}}{8}+\frac{a^6\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(5\,c+5\,d\,x\right)\,5{}\mathrm{i}}{8}+\frac{a\,b^5\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sin\left(3\,c+3\,d\,x\right)\,45{}\mathrm{i}}{64}+\frac{a^5\,b\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sin\left(3\,c+3\,d\,x\right)\,15{}\mathrm{i}}{8}+\frac{a\,b^5\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sin\left(5\,c+5\,d\,x\right)\,15{}\mathrm{i}}{64}+\frac{a^5\,b\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sin\left(5\,c+5\,d\,x\right)\,5{}\mathrm{i}}{8}+\frac{a^3\,b^3\,\sin\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,15{}\mathrm{i}}{8}+\frac{a^2\,b^4\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(3\,c+3\,d\,x\right)\,75{}\mathrm{i}}{64}+\frac{a^4\,b^2\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(3\,c+3\,d\,x\right)\,75{}\mathrm{i}}{16}+\frac{a^2\,b^4\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(5\,c+5\,d\,x\right)\,15{}\mathrm{i}}{64}+\frac{a^4\,b^2\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\cos\left(5\,c+5\,d\,x\right)\,15{}\mathrm{i}}{16}+\frac{a^3\,b^3\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sin\left(3\,c+3\,d\,x\right)\,45{}\mathrm{i}}{16}+\frac{a^3\,b^3\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sin\left(5\,c+5\,d\,x\right)\,15{}\mathrm{i}}{16}+\frac{a\,b^5\,\sin\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,15{}\mathrm{i}}{32}+\frac{a^5\,b\,\sin\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,5{}\mathrm{i}}{4}+\frac{a^2\,b^4\,\cos\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,75{}\mathrm{i}}{32}+\frac{a^4\,b^2\,\cos\left(c+d\,x\right)\,\mathrm{atan}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,1{}\mathrm{i}}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,75{}\mathrm{i}}{8}}{a\,b^6\,d\,\left(\frac{5\,a\,\cos\left(c+d\,x\right)}{8}+\frac{b\,\sin\left(c+d\,x\right)}{8}+\frac{5\,a\,\cos\left(3\,c+3\,d\,x\right)}{16}+\frac{a\,\cos\left(5\,c+5\,d\,x\right)}{16}+\frac{3\,b\,\sin\left(3\,c+3\,d\,x\right)}{16}+\frac{b\,\sin\left(5\,c+5\,d\,x\right)}{16}\right)}","Not used",1,"-((9*a*b^5)/64 + (15*a^5*b)/8 + (b^6*sin(c + d*x))/8 + (115*a^3*b^3)/48 + (3*b^6*sin(3*c + 3*d*x))/16 + (b^6*sin(5*c + 5*d*x))/16 + (a^6*cos(c + d*x)*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*25i)/4 + (5*a*b^5*cos(2*c + 2*d*x))/8 + (5*a^5*b*cos(2*c + 2*d*x))/2 + (5*a*b^5*cos(3*c + 3*d*x))/16 + (25*a^5*b*cos(3*c + 3*d*x))/16 + (15*a*b^5*cos(4*c + 4*d*x))/64 + (5*a^5*b*cos(4*c + 4*d*x))/8 + (a*b^5*cos(5*c + 5*d*x))/16 + (5*a^5*b*cos(5*c + 5*d*x))/16 + (25*a^3*b^3*cos(c + d*x))/6 + (5*a^2*b^4*sin(c + d*x))/6 + (5*a^4*b^2*sin(c + d*x))/8 + (a^6*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*cos(3*c + 3*d*x)*25i)/8 + (a^6*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*cos(5*c + 5*d*x)*5i)/8 + (10*a^3*b^3*cos(2*c + 2*d*x))/3 + (25*a^3*b^3*cos(3*c + 3*d*x))/12 + (15*a^3*b^3*cos(4*c + 4*d*x))/16 + (5*a^3*b^3*cos(5*c + 5*d*x))/12 + (95*a^2*b^4*sin(2*c + 2*d*x))/96 + (5*a^4*b^2*sin(2*c + 2*d*x))/8 + (5*a^2*b^4*sin(3*c + 3*d*x))/4 + (15*a^4*b^2*sin(3*c + 3*d*x))/16 + (25*a^2*b^4*sin(4*c + 4*d*x))/64 + (5*a^4*b^2*sin(4*c + 4*d*x))/16 + (5*a^2*b^4*sin(5*c + 5*d*x))/12 + (5*a^4*b^2*sin(5*c + 5*d*x))/16 + (5*a*b^5*cos(c + d*x))/8 + (25*a^5*b*cos(c + d*x))/8 + (a*b^5*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*sin(3*c + 3*d*x)*45i)/64 + (a^5*b*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*sin(3*c + 3*d*x)*15i)/8 + (a*b^5*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*sin(5*c + 5*d*x)*15i)/64 + (a^5*b*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*sin(5*c + 5*d*x)*5i)/8 + (a^3*b^3*sin(c + d*x)*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*15i)/8 + (a^2*b^4*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*cos(3*c + 3*d*x)*75i)/64 + (a^4*b^2*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*cos(3*c + 3*d*x)*75i)/16 + (a^2*b^4*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*cos(5*c + 5*d*x)*15i)/64 + (a^4*b^2*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*cos(5*c + 5*d*x)*15i)/16 + (a^3*b^3*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*sin(3*c + 3*d*x)*45i)/16 + (a^3*b^3*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*sin(5*c + 5*d*x)*15i)/16 + (25*a^3*cos(c + d*x)*atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*((a^2 + b^2)^3)^(1/2))/4 + (a*b^5*sin(c + d*x)*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*15i)/32 + (a^5*b*sin(c + d*x)*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*5i)/4 + (25*a^3*atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*cos(3*c + 3*d*x)*((a^2 + b^2)^3)^(1/2))/8 + (5*a^3*atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*cos(5*c + 5*d*x)*((a^2 + b^2)^3)^(1/2))/8 + (a^2*b^4*cos(c + d*x)*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*75i)/32 + (a^4*b^2*cos(c + d*x)*atan((sin(c/2 + (d*x)/2)*1i)/cos(c/2 + (d*x)/2))*75i)/8 + (15*a^2*b*atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*sin(3*c + 3*d*x)*((a^2 + b^2)^3)^(1/2))/8 + (5*a^2*b*atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*sin(5*c + 5*d*x)*((a^2 + b^2)^3)^(1/2))/8 + (5*a^2*b*atanh((a^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + 2*b^2*sin(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2) + a*b*cos(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)^(1/2))/(a^5*cos(c/2 + (d*x)/2) + 2*b^5*sin(c/2 + (d*x)/2) + a*b^4*cos(c/2 + (d*x)/2) + 2*a^4*b*sin(c/2 + (d*x)/2) + 2*a^3*b^2*cos(c/2 + (d*x)/2) + 4*a^2*b^3*sin(c/2 + (d*x)/2)))*sin(c + d*x)*((a^2 + b^2)^3)^(1/2))/4)/(a*b^6*d*((5*a*cos(c + d*x))/8 + (b*sin(c + d*x))/8 + (5*a*cos(3*c + 3*d*x))/16 + (a*cos(5*c + 5*d*x))/16 + (3*b*sin(3*c + 3*d*x))/16 + (b*sin(5*c + 5*d*x))/16))","B"
561,1,585,176,5.013454,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + b*tan(c + d*x))^2),x)","\frac{\mathrm{atanh}\left(\frac{648\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{216\,a\,b^2+648\,a^3+\frac{432\,a^5}{b^2}}+\frac{432\,a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{432\,a^5+648\,a^3\,b^2+216\,a\,b^4}+\frac{216\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{216\,a+\frac{648\,a^3}{b^2}+\frac{432\,a^5}{b^4}}\right)\,\left(6\,a^2+3\,b^2\right)}{b^4\,d}-\frac{\frac{2\,\left(3\,a^2+b^2\right)}{b^3}+\frac{6\,a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{b^3}-\frac{6\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(2\,a^2+b^2\right)}{b^3}+\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(9\,a^2+2\,b^2\right)}{a\,b^2}-\frac{4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(3\,a^2+b^2\right)}{a\,b^2}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(3\,a^2+2\,b^2\right)}{a\,b^2}}{d\,\left(-a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+3\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-4\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-3\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+2\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+a\right)}-\frac{6\,a\,\mathrm{atanh}\left(\frac{432\,a^3\,\sqrt{a^2+b^2}}{432\,a^3\,b+\frac{432\,a^5}{b}+864\,a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+864\,a^2\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}+\frac{864\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}{432\,a^3+\frac{432\,a^5}{b^2}+864\,a^2\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{864\,a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{b}}+\frac{432\,a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}{432\,a^5+864\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^4\,b+432\,a^3\,b^2+864\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2\,b^3}\right)\,\sqrt{a^2+b^2}}{b^4\,d}","Not used",1,"(atanh((648*a^3*tan(c/2 + (d*x)/2))/(216*a*b^2 + 648*a^3 + (432*a^5)/b^2) + (432*a^5*tan(c/2 + (d*x)/2))/(216*a*b^4 + 432*a^5 + 648*a^3*b^2) + (216*a*tan(c/2 + (d*x)/2))/(216*a + (648*a^3)/b^2 + (432*a^5)/b^4))*(6*a^2 + 3*b^2))/(b^4*d) - ((2*(3*a^2 + b^2))/b^3 + (6*a^2*tan(c/2 + (d*x)/2)^4)/b^3 - (6*tan(c/2 + (d*x)/2)^2*(2*a^2 + b^2))/b^3 + (tan(c/2 + (d*x)/2)*(9*a^2 + 2*b^2))/(a*b^2) - (4*tan(c/2 + (d*x)/2)^3*(3*a^2 + b^2))/(a*b^2) + (tan(c/2 + (d*x)/2)^5*(3*a^2 + 2*b^2))/(a*b^2))/(d*(a + 2*b*tan(c/2 + (d*x)/2) - 3*a*tan(c/2 + (d*x)/2)^2 + 3*a*tan(c/2 + (d*x)/2)^4 - a*tan(c/2 + (d*x)/2)^6 - 4*b*tan(c/2 + (d*x)/2)^3 + 2*b*tan(c/2 + (d*x)/2)^5)) - (6*a*atanh((432*a^3*(a^2 + b^2)^(1/2))/(432*a^3*b + (432*a^5)/b + 864*a^4*tan(c/2 + (d*x)/2) + 864*a^2*b^2*tan(c/2 + (d*x)/2)) + (864*a^2*tan(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2))/(432*a^3 + (432*a^5)/b^2 + 864*a^2*b*tan(c/2 + (d*x)/2) + (864*a^4*tan(c/2 + (d*x)/2))/b) + (432*a^4*tan(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2))/(432*a^5 + 432*a^3*b^2 + 864*a^4*b*tan(c/2 + (d*x)/2) + 864*a^2*b^3*tan(c/2 + (d*x)/2)))*(a^2 + b^2)^(1/2))/(b^4*d)","B"
562,1,383,91,4.187981,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + b*tan(c + d*x))^2),x)","-\frac{b^2\,\sin\left(c+d\,x\right)-\frac{2\,\left(a^2\,\cos\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sqrt{a^2+b^2}+a^3\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2+1{}\mathrm{i}\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b+2{}\mathrm{i}\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^2}{a\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}+2\,b\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}\right)\,\cos\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{\sqrt{a^2+b^2}}+\frac{2\,b\,\left(\frac{a\,\sqrt{a^2+b^2}}{2}+\frac{a\,\cos\left(c+d\,x\right)\,\sqrt{a^2+b^2}}{2}-a\,\sin\left(c+d\,x\right)\,\mathrm{atanh}\left(\frac{\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\sqrt{a^2+b^2}-a^2\,\mathrm{atan}\left(\frac{1{}\mathrm{i}\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^2+1{}\mathrm{i}\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b+2{}\mathrm{i}\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,b^2}{a\,\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}+2\,b\,\sin\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}\right)\,\sin\left(c+d\,x\right)\,1{}\mathrm{i}\right)}{\sqrt{a^2+b^2}}}{a\,b^2\,d\,\left(a\,\cos\left(c+d\,x\right)+b\,\sin\left(c+d\,x\right)\right)}","Not used",1,"-(b^2*sin(c + d*x) - (2*(a^3*atan((a^2*sin(c/2 + (d*x)/2)*1i + b^2*sin(c/2 + (d*x)/2)*2i + a*b*cos(c/2 + (d*x)/2)*1i)/(a*cos(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2) + 2*b*sin(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2)))*cos(c + d*x)*1i + a^2*cos(c + d*x)*atanh(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2))*(a^2 + b^2)^(1/2)))/(a^2 + b^2)^(1/2) + (2*b*((a*(a^2 + b^2)^(1/2))/2 + (a*cos(c + d*x)*(a^2 + b^2)^(1/2))/2 - a^2*atan((a^2*sin(c/2 + (d*x)/2)*1i + b^2*sin(c/2 + (d*x)/2)*2i + a*b*cos(c/2 + (d*x)/2)*1i)/(a*cos(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2) + 2*b*sin(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2)))*sin(c + d*x)*1i - a*sin(c + d*x)*atanh(sin(c/2 + (d*x)/2)/cos(c/2 + (d*x)/2))*(a^2 + b^2)^(1/2)))/(a^2 + b^2)^(1/2))/(a*b^2*d*(a*cos(c + d*x) + b*sin(c + d*x)))","B"
563,1,136,82,3.984238,"\text{Not used}","int(1/(cos(c + d*x)*(a + b*tan(c + d*x))^2),x)","-\frac{\frac{2\,b}{a^2+b^2}+\frac{2\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{a\,\left(a^2+b^2\right)}}{d\,\left(-a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+2\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+a\right)}+\frac{a\,\mathrm{atan}\left(\frac{a^2\,b\,1{}\mathrm{i}+b^3\,1{}\mathrm{i}-a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^2+b^2\right)\,1{}\mathrm{i}}{{\left(a^2+b^2\right)}^{3/2}}\right)\,2{}\mathrm{i}}{d\,{\left(a^2+b^2\right)}^{3/2}}","Not used",1,"(a*atan((a^2*b*1i + b^3*1i - a*tan(c/2 + (d*x)/2)*(a^2 + b^2)*1i)/(a^2 + b^2)^(3/2))*2i)/(d*(a^2 + b^2)^(3/2)) - ((2*b)/(a^2 + b^2) + (2*b^2*tan(c/2 + (d*x)/2))/(a*(a^2 + b^2)))/(d*(a + 2*b*tan(c/2 + (d*x)/2) - a*tan(c/2 + (d*x)/2)^2))","B"
564,1,286,157,5.951631,"\text{Not used}","int(cos(c + d*x)/(a + b*tan(c + d*x))^2,x)","\frac{\frac{4\,a^2\,b-2\,b^3}{a^4+2\,a^2\,b^2+b^4}-\frac{6\,b^3\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{a^4+2\,a^2\,b^2+b^4}+\frac{2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^4+3\,a^2\,b^2-b^4\right)}{a\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(2\,a^4-2\,a^2\,b^2+2\,b^4\right)}{a\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(-a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+2\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+a\right)}-\frac{6\,a\,b^2\,\mathrm{atanh}\left(\frac{a^4\,b+b^5+2\,a^2\,b^3-a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}{{\left(a^2+b^2\right)}^{5/2}}\right)}{d\,{\left(a^2+b^2\right)}^{5/2}}","Not used",1,"((4*a^2*b - 2*b^3)/(a^4 + b^4 + 2*a^2*b^2) - (6*b^3*tan(c/2 + (d*x)/2)^2)/(a^4 + b^4 + 2*a^2*b^2) + (2*tan(c/2 + (d*x)/2)*(a^4 - b^4 + 3*a^2*b^2))/(a*(a^4 + b^4 + 2*a^2*b^2)) - (tan(c/2 + (d*x)/2)^3*(2*a^4 + 2*b^4 - 2*a^2*b^2))/(a*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a + 2*b*tan(c/2 + (d*x)/2) - a*tan(c/2 + (d*x)/2)^4 + 2*b*tan(c/2 + (d*x)/2)^3)) - (6*a*b^2*atanh((a^4*b + b^5 + 2*a^2*b^3 - a*tan(c/2 + (d*x)/2)*(a^4 + b^4 + 2*a^2*b^2))/(a^2 + b^2)^(5/2)))/(d*(a^2 + b^2)^(5/2))","B"
565,1,674,241,7.107777,"\text{Not used}","int(cos(c + d*x)^3/(a + b*tan(c + d*x))^2,x)","\frac{\frac{2\,\left(2\,a^4\,b+14\,a^2\,b^3-3\,b^5\right)}{3\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{10\,b^5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+\frac{10\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(2\,a^4+6\,a^2\,b^2-5\,b^4\right)}{3\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(4\,a^4\,b+28\,a^2\,b^3-21\,b^5\right)}{3\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,\left(a^6+3\,a^4\,b^2-2\,a^2\,b^4+b^6\right)}{a\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(3\,a^6+13\,a^4\,b^2+22\,a^2\,b^4-3\,b^6\right)}{3\,a\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(a^6+3\,a^4\,b^2+38\,a^2\,b^4-9\,b^6\right)}{3\,a\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(a^6-9\,a^4\,b^2-46\,a^2\,b^4+9\,b^6\right)}{3\,a\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(-a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8+2\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-2\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+6\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+6\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+2\,a\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+2\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+a\right)}-\frac{10\,a\,b^4\,\mathrm{atanh}\left(\frac{2\,a^6\,b+2\,b^7+6\,a^2\,b^5+6\,a^4\,b^3-2\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}{2\,{\left(a^2+b^2\right)}^{7/2}}\right)}{d\,{\left(a^2+b^2\right)}^{7/2}}","Not used",1,"((2*(2*a^4*b - 3*b^5 + 14*a^2*b^3))/(3*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)) - (10*b^5*tan(c/2 + (d*x)/2)^6)/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) + (10*b*tan(c/2 + (d*x)/2)^4*(2*a^4 - 5*b^4 + 6*a^2*b^2))/(3*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (2*tan(c/2 + (d*x)/2)^2*(4*a^4*b - 21*b^5 + 28*a^2*b^3))/(3*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)) - (2*tan(c/2 + (d*x)/2)^7*(a^6 + b^6 - 2*a^2*b^4 + 3*a^4*b^2))/(a*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (2*tan(c/2 + (d*x)/2)*(3*a^6 - 3*b^6 + 22*a^2*b^4 + 13*a^4*b^2))/(3*a*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)) + (2*tan(c/2 + (d*x)/2)^5*(a^6 - 9*b^6 + 38*a^2*b^4 + 3*a^4*b^2))/(3*a*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)) - (2*tan(c/2 + (d*x)/2)^3*(a^6 + 9*b^6 - 46*a^2*b^4 - 9*a^4*b^2))/(3*a*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a + 2*b*tan(c/2 + (d*x)/2) + 2*a*tan(c/2 + (d*x)/2)^2 - 2*a*tan(c/2 + (d*x)/2)^6 - a*tan(c/2 + (d*x)/2)^8 + 6*b*tan(c/2 + (d*x)/2)^3 + 6*b*tan(c/2 + (d*x)/2)^5 + 2*b*tan(c/2 + (d*x)/2)^7)) - (10*a*b^4*atanh((2*a^6*b + 2*b^7 + 6*a^2*b^5 + 6*a^4*b^3 - 2*a*tan(c/2 + (d*x)/2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2))/(2*(a^2 + b^2)^(7/2))))/(d*(a^2 + b^2)^(7/2))","B"
566,1,234,185,3.676817,"\text{Not used}","int(1/(cos(c + d*x)^8*(a + b*tan(c + d*x))^3),x)","\frac{\frac{11\,a^6+21\,a^4\,b^2+9\,a^2\,b^4-b^6}{2\,b}+\mathrm{tan}\left(c+d\,x\right)\,\left(6\,a^5+12\,a^3\,b^2+6\,a\,b^4\right)}{d\,\left(a^2\,b^6+2\,a\,b^7\,\mathrm{tan}\left(c+d\,x\right)+b^8\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(\frac{3}{2\,b^3}+\frac{3\,a^2}{b^5}\right)}{d}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4}{4\,b^3\,d}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(\frac{8\,a^3}{b^6}-\frac{3\,a\,\left(\frac{3}{b^3}+\frac{6\,a^2}{b^5}\right)}{b}\right)}{d}-\frac{a\,{\mathrm{tan}\left(c+d\,x\right)}^3}{b^4\,d}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(15\,a^4+18\,a^2\,b^2+3\,b^4\right)}{b^7\,d}","Not used",1,"((11*a^6 - b^6 + 9*a^2*b^4 + 21*a^4*b^2)/(2*b) + tan(c + d*x)*(6*a*b^4 + 6*a^5 + 12*a^3*b^2))/(d*(a^2*b^6 + b^8*tan(c + d*x)^2 + 2*a*b^7*tan(c + d*x))) + (tan(c + d*x)^2*(3/(2*b^3) + (3*a^2)/b^5))/d + tan(c + d*x)^4/(4*b^3*d) + (tan(c + d*x)*((8*a^3)/b^6 - (3*a*(3/b^3 + (6*a^2)/b^5))/b))/d - (a*tan(c + d*x)^3)/(b^4*d) + (log(a + b*tan(c + d*x))*(15*a^4 + 3*b^4 + 18*a^2*b^2))/(b^7*d)","B"
567,1,143,121,3.731128,"\text{Not used}","int(1/(cos(c + d*x)^6*(a + b*tan(c + d*x))^3),x)","\frac{\frac{7\,a^4+6\,a^2\,b^2-b^4}{2\,b}+\mathrm{tan}\left(c+d\,x\right)\,\left(4\,a^3+4\,a\,b^2\right)}{d\,\left(a^2\,b^4+2\,a\,b^5\,\mathrm{tan}\left(c+d\,x\right)+b^6\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,b^3\,d}-\frac{3\,a\,\mathrm{tan}\left(c+d\,x\right)}{b^4\,d}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(6\,a^2+2\,b^2\right)}{b^5\,d}","Not used",1,"((7*a^4 - b^4 + 6*a^2*b^2)/(2*b) + tan(c + d*x)*(4*a*b^2 + 4*a^3))/(d*(a^2*b^4 + b^6*tan(c + d*x)^2 + 2*a*b^5*tan(c + d*x))) + tan(c + d*x)^2/(2*b^3*d) - (3*a*tan(c + d*x))/(b^4*d) + (log(a + b*tan(c + d*x))*(6*a^2 + 2*b^2))/(b^5*d)","B"
568,1,80,69,3.746559,"\text{Not used}","int(1/(cos(c + d*x)^4*(a + b*tan(c + d*x))^3),x)","\frac{\frac{3\,a^2-b^2}{2\,b^3}+\frac{2\,a\,\mathrm{tan}\left(c+d\,x\right)}{b^2}}{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)}{b^3\,d}","Not used",1,"((3*a^2 - b^2)/(2*b^3) + (2*a*tan(c + d*x))/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))/(b^3*d)","B"
569,1,39,22,3.662564,"\text{Not used}","int(1/(cos(c + d*x)^2*(a + b*tan(c + d*x))^3),x)","-\frac{1}{d\,\left(2\,a^2\,b+4\,a\,b^2\,\mathrm{tan}\left(c+d\,x\right)+2\,b^3\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}","Not used",1,"-1/(d*(2*a^2*b + 2*b^3*tan(c + d*x)^2 + 4*a*b^2*tan(c + d*x)))","B"
570,1,419,202,4.563634,"\text{Not used}","int(cos(c + d*x)^2/(a + b*tan(c + d*x))^3,x)","\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{10\,b^3}{{\left(a^2+b^2\right)}^3}-\frac{12\,b^5}{{\left(a^2+b^2\right)}^4}\right)}{d}-\frac{\frac{-3\,a^4\,b+10\,a^2\,b^3+b^5}{2\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(11\,a\,b^4-a^3\,b^2\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(-a^4\,b+6\,a^2\,b^3+b^5\right)}{\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{a\,\mathrm{tan}\left(c+d\,x\right)\,\left(a^4+3\,a^2\,b^2-10\,b^4\right)}{2\,\left(a^2+b^2\right)\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,\left(a^2+b^2\right)+a^2+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^4+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+2\,a\,b\,{\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+\frac{a\,1{}\mathrm{i}}{4}\right)}{d\,\left(a^4-a^3\,b\,4{}\mathrm{i}-6\,a^2\,b^2+a\,b^3\,4{}\mathrm{i}+b^4\right)}+\frac{\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(a+b\,4{}\mathrm{i}\right)}{4\,d\,\left(a^4\,1{}\mathrm{i}-4\,a^3\,b-a^2\,b^2\,6{}\mathrm{i}+4\,a\,b^3+b^4\,1{}\mathrm{i}\right)}","Not used",1,"(log(a + b*tan(c + d*x))*((10*b^3)/(a^2 + b^2)^3 - (12*b^5)/(a^2 + b^2)^4))/d - ((b^5 - 3*a^4*b + 10*a^2*b^3)/(2*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)) + (tan(c + d*x)^3*(11*a*b^4 - a^3*b^2))/(2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c + d*x)^2*(b^5 - a^4*b + 6*a^2*b^3))/((a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)) - (a*tan(c + d*x)*(a^4 - 10*b^4 + 3*a^2*b^2))/(2*(a^2 + b^2)*(a^4 + b^4 + 2*a^2*b^2)))/(d*(tan(c + d*x)^2*(a^2 + b^2) + a^2 + b^2*tan(c + d*x)^4 + 2*a*b*tan(c + d*x) + 2*a*b*tan(c + d*x)^3)) + (log(tan(c + d*x) + 1i)*((a*1i)/4 + b))/(d*(a*b^3*4i - a^3*b*4i + a^4 + b^4 - 6*a^2*b^2)) + (log(tan(c + d*x) - 1i)*(a + b*4i))/(4*d*(4*a*b^3 - 4*a^3*b + a^4*1i + b^4*1i - a^2*b^2*6i))","B"
571,1,715,295,5.434275,"\text{Not used}","int(cos(c + d*x)^4/(a + b*tan(c + d*x))^3,x)","\frac{\frac{3\,a^6\,b+22\,a^4\,b^3-31\,a^2\,b^5-2\,b^7}{4\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}+\frac{\mathrm{tan}\left(c+d\,x\right)\,\left(5\,a^7+26\,a^5\,b^2+49\,a^3\,b^4-68\,a\,b^6\right)}{8\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}+\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^5\,\left(a^5\,b^2+6\,a^3\,b^4-27\,a\,b^6\right)}{8\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^3\,\left(3\,a^7+23\,a^5\,b^2+61\,a^3\,b^4-151\,a\,b^6\right)}{8\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}+\frac{3\,{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(a^6\,b+6\,a^4\,b^3-13\,a^2\,b^5-2\,b^7\right)}{4\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^2\,\left(5\,a^6\,b+37\,a^4\,b^3-73\,a^2\,b^5-9\,b^7\right)}{4\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}}{d\,\left({\mathrm{tan}\left(c+d\,x\right)}^2\,\left(2\,a^2+b^2\right)+{\mathrm{tan}\left(c+d\,x\right)}^4\,\left(a^2+2\,b^2\right)+a^2+b^2\,{\mathrm{tan}\left(c+d\,x\right)}^6+2\,a\,b\,\mathrm{tan}\left(c+d\,x\right)+4\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^3+2\,a\,b\,{\mathrm{tan}\left(c+d\,x\right)}^5\right)}+\frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)\,\left(\frac{21\,b^5}{{\left(a^2+b^2\right)}^4}-\frac{24\,b^7}{{\left(a^2+b^2\right)}^5}\right)}{d}+\frac{3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)-\mathrm{i}\right)\,\left(-a^2\,1{}\mathrm{i}+5\,a\,b+b^2\,8{}\mathrm{i}\right)}{16\,d\,\left(a^5+a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2-a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4+b^5\,1{}\mathrm{i}\right)}+\frac{3\,\ln\left(\mathrm{tan}\left(c+d\,x\right)+1{}\mathrm{i}\right)\,\left(a^2\,1{}\mathrm{i}+5\,a\,b-b^2\,8{}\mathrm{i}\right)}{16\,d\,\left(a^5-a^4\,b\,5{}\mathrm{i}-10\,a^3\,b^2+a^2\,b^3\,10{}\mathrm{i}+5\,a\,b^4-b^5\,1{}\mathrm{i}\right)}","Not used",1,"((3*a^6*b - 2*b^7 - 31*a^2*b^5 + 22*a^4*b^3)/(4*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) + (tan(c + d*x)*(5*a^7 - 68*a*b^6 + 49*a^3*b^4 + 26*a^5*b^2))/(8*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) + (3*tan(c + d*x)^5*(6*a^3*b^4 - 27*a*b^6 + a^5*b^2))/(8*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) + (tan(c + d*x)^3*(3*a^7 - 151*a*b^6 + 61*a^3*b^4 + 23*a^5*b^2))/(8*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) + (3*tan(c + d*x)^4*(a^6*b - 2*b^7 - 13*a^2*b^5 + 6*a^4*b^3))/(4*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) + (tan(c + d*x)^2*(5*a^6*b - 9*b^7 - 73*a^2*b^5 + 37*a^4*b^3))/(4*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)))/(d*(tan(c + d*x)^2*(2*a^2 + b^2) + tan(c + d*x)^4*(a^2 + 2*b^2) + a^2 + b^2*tan(c + d*x)^6 + 2*a*b*tan(c + d*x) + 4*a*b*tan(c + d*x)^3 + 2*a*b*tan(c + d*x)^5)) + (log(a + b*tan(c + d*x))*((21*b^5)/(a^2 + b^2)^4 - (24*b^7)/(a^2 + b^2)^5))/d + (3*log(tan(c + d*x) - 1i)*(5*a*b - a^2*1i + b^2*8i))/(16*d*(5*a*b^4 + a^4*b*5i + a^5 + b^5*1i - a^2*b^3*10i - 10*a^3*b^2)) + (3*log(tan(c + d*x) + 1i)*(5*a*b + a^2*1i - b^2*8i))/(16*d*(5*a*b^4 - a^4*b*5i + a^5 - b^5*1i + a^2*b^3*10i - 10*a^3*b^2))","B"
572,1,1203,239,6.936979,"\text{Not used}","int(1/(cos(c + d*x)^7*(a + b*tan(c + d*x))^3),x)","\frac{\frac{60\,a^4+35\,a^2\,b^2-3\,b^4}{3\,b^5}+\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(210\,a^4+125\,a^2\,b^2-6\,b^4\right)}{3\,a\,b^4}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,\left(20\,a^6-15\,a^4\,b^2-15\,a^2\,b^4+2\,b^6\right)}{a^2\,b^5}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,\left(40\,a^6-30\,a^4\,b^2-35\,a^2\,b^4+3\,b^6\right)}{a^2\,b^5}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(120\,a^6-10\,a^4\,b^2-55\,a^2\,b^4+3\,b^6\right)}{3\,a^2\,b^5}+\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(180\,a^6-95\,a^4\,b^2-120\,a^2\,b^4+9\,b^6\right)}{3\,a^2\,b^5}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,\left(10\,a^4+5\,a^2\,b^2-2\,b^4\right)}{a\,b^4}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,\left(50\,a^4+25\,a^2\,b^2-4\,b^4\right)}{a\,b^4}+\frac{4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(60\,a^4+35\,a^2\,b^2-3\,b^4\right)}{a\,b^4}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(330\,a^4+205\,a^2\,b^2-12\,b^4\right)}{3\,a\,b^4}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,\left(5\,a^2-4\,b^2\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(5\,a^2-4\,b^2\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(10\,a^2-12\,b^2\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,\left(10\,a^2-12\,b^2\right)-a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}+a^2-16\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+24\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5-16\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7+4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+4\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}-\frac{\mathrm{atanh}\left(\frac{3000\,a^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3000\,a^2+\frac{7000\,a^4}{b^2}+\frac{4000\,a^6}{b^4}}+\frac{7000\,a^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{7000\,a^4+3000\,a^2\,b^2+\frac{4000\,a^6}{b^2}}+\frac{4000\,a^6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4000\,a^6+7000\,a^4\,b^2+3000\,a^2\,b^4}\right)\,\left(20\,a^3+15\,a\,b^2\right)}{b^6\,d}+\frac{5\,\mathrm{atanh}\left(\frac{1000\,a^2\,\sqrt{a^2+b^2}}{1000\,a^2\,b+\frac{5000\,a^4}{b}+\frac{4000\,a^6}{b^3}+10000\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+2000\,a\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{8000\,a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{b^2}}+\frac{4000\,a^4\,\sqrt{a^2+b^2}}{5000\,a^4\,b+1000\,a^2\,b^3+\frac{4000\,a^6}{b}+8000\,a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+2000\,a\,b^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+10000\,a^3\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}+\frac{9000\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}{5000\,a^4+1000\,a^2\,b^2+\frac{4000\,a^6}{b^2}+2000\,a\,b^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+10000\,a^3\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+\frac{8000\,a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{b}}+\frac{4000\,a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}{4000\,a^6+8000\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5\,b+5000\,a^4\,b^2+10000\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^3+1000\,a^2\,b^4+2000\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^5}+\frac{2000\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\sqrt{a^2+b^2}}{1000\,a^2+\frac{5000\,a^4}{b^2}+\frac{4000\,a^6}{b^4}+\frac{10000\,a^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{b}+\frac{8000\,a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{b^3}+2000\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}\right)\,\left(4\,a^2+b^2\right)\,\sqrt{a^2+b^2}}{b^6\,d}","Not used",1,"((60*a^4 - 3*b^4 + 35*a^2*b^2)/(3*b^5) + (tan(c/2 + (d*x)/2)*(210*a^4 - 6*b^4 + 125*a^2*b^2))/(3*a*b^4) + (tan(c/2 + (d*x)/2)^8*(20*a^6 + 2*b^6 - 15*a^2*b^4 - 15*a^4*b^2))/(a^2*b^5) - (2*tan(c/2 + (d*x)/2)^6*(40*a^6 + 3*b^6 - 35*a^2*b^4 - 30*a^4*b^2))/(a^2*b^5) - (2*tan(c/2 + (d*x)/2)^2*(120*a^6 + 3*b^6 - 55*a^2*b^4 - 10*a^4*b^2))/(3*a^2*b^5) + (2*tan(c/2 + (d*x)/2)^4*(180*a^6 + 9*b^6 - 120*a^2*b^4 - 95*a^4*b^2))/(3*a^2*b^5) + (tan(c/2 + (d*x)/2)^9*(10*a^4 - 2*b^4 + 5*a^2*b^2))/(a*b^4) - (2*tan(c/2 + (d*x)/2)^7*(50*a^4 - 4*b^4 + 25*a^2*b^2))/(a*b^4) + (4*tan(c/2 + (d*x)/2)^5*(60*a^4 - 3*b^4 + 35*a^2*b^2))/(a*b^4) - (2*tan(c/2 + (d*x)/2)^3*(330*a^4 - 12*b^4 + 205*a^2*b^2))/(3*a*b^4))/(d*(tan(c/2 + (d*x)/2)^8*(5*a^2 - 4*b^2) - tan(c/2 + (d*x)/2)^2*(5*a^2 - 4*b^2) + tan(c/2 + (d*x)/2)^4*(10*a^2 - 12*b^2) - tan(c/2 + (d*x)/2)^6*(10*a^2 - 12*b^2) - a^2*tan(c/2 + (d*x)/2)^10 + a^2 - 16*a*b*tan(c/2 + (d*x)/2)^3 + 24*a*b*tan(c/2 + (d*x)/2)^5 - 16*a*b*tan(c/2 + (d*x)/2)^7 + 4*a*b*tan(c/2 + (d*x)/2)^9 + 4*a*b*tan(c/2 + (d*x)/2))) - (atanh((3000*a^2*tan(c/2 + (d*x)/2))/(3000*a^2 + (7000*a^4)/b^2 + (4000*a^6)/b^4) + (7000*a^4*tan(c/2 + (d*x)/2))/(7000*a^4 + 3000*a^2*b^2 + (4000*a^6)/b^2) + (4000*a^6*tan(c/2 + (d*x)/2))/(4000*a^6 + 3000*a^2*b^4 + 7000*a^4*b^2))*(15*a*b^2 + 20*a^3))/(b^6*d) + (5*atanh((1000*a^2*(a^2 + b^2)^(1/2))/(1000*a^2*b + (5000*a^4)/b + (4000*a^6)/b^3 + 10000*a^3*tan(c/2 + (d*x)/2) + 2000*a*b^2*tan(c/2 + (d*x)/2) + (8000*a^5*tan(c/2 + (d*x)/2))/b^2) + (4000*a^4*(a^2 + b^2)^(1/2))/(5000*a^4*b + 1000*a^2*b^3 + (4000*a^6)/b + 8000*a^5*tan(c/2 + (d*x)/2) + 2000*a*b^4*tan(c/2 + (d*x)/2) + 10000*a^3*b^2*tan(c/2 + (d*x)/2)) + (9000*a^3*tan(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2))/(5000*a^4 + 1000*a^2*b^2 + (4000*a^6)/b^2 + 2000*a*b^3*tan(c/2 + (d*x)/2) + 10000*a^3*b*tan(c/2 + (d*x)/2) + (8000*a^5*tan(c/2 + (d*x)/2))/b) + (4000*a^5*tan(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2))/(4000*a^6 + 1000*a^2*b^4 + 5000*a^4*b^2 + 2000*a*b^5*tan(c/2 + (d*x)/2) + 8000*a^5*b*tan(c/2 + (d*x)/2) + 10000*a^3*b^3*tan(c/2 + (d*x)/2)) + (2000*a*tan(c/2 + (d*x)/2)*(a^2 + b^2)^(1/2))/(1000*a^2 + (5000*a^4)/b^2 + (4000*a^6)/b^4 + (10000*a^3*tan(c/2 + (d*x)/2))/b + (8000*a^5*tan(c/2 + (d*x)/2))/b^3 + 2000*a*b*tan(c/2 + (d*x)/2)))*(4*a^2 + b^2)*(a^2 + b^2)^(1/2))/(b^6*d)","B"
573,1,1311,148,5.679544,"\text{Not used}","int(1/(cos(c + d*x)^5*(a + b*tan(c + d*x))^3),x)","\frac{\frac{6\,a^2-b^2}{b^3}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(6\,a^4-9\,a^2\,b^2+b^4\right)}{a^2\,b^3}+\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(21\,a^2-2\,b^2\right)}{a\,b^2}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(6\,a^4-9\,a^2\,b^2+2\,b^4\right)}{a^2\,b^3}-\frac{4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(6\,a^2-b^2\right)}{a\,b^2}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(3\,a^2-2\,b^2\right)}{a\,b^2}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(3\,a^2-4\,b^2\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(3\,a^2-4\,b^2\right)-a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+a^2-8\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+4\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}-\frac{6\,a\,\mathrm{atanh}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}{b^4\,d}+\frac{\mathrm{atan}\left(\frac{\frac{\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(\frac{288\,a^4}{b^5}+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(72\,a^5\,b^3+108\,a^3\,b^5+9\,a\,b^7\right)}{b^9}-\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(24\,a^3\,b^8+12\,a\,b^{10}\right)}{b^9}-48\,a^2+\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(32\,a^2\,b^3+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(8\,a^3\,b^{11}+12\,a\,b^{13}\right)}{b^9}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)\,3{}\mathrm{i}}{2\,\left(a^2\,b^4+b^6\right)}+\frac{\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(\frac{288\,a^4}{b^5}+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(72\,a^5\,b^3+108\,a^3\,b^5+9\,a\,b^7\right)}{b^9}-\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(48\,a^2-\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(24\,a^3\,b^8+12\,a\,b^{10}\right)}{b^9}+\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(32\,a^2\,b^3+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(8\,a^3\,b^{11}+12\,a\,b^{13}\right)}{b^9}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)\,3{}\mathrm{i}}{2\,\left(a^2\,b^4+b^6\right)}}{\frac{16\,\left(54\,a^4+27\,a^2\,b^2\right)}{b^8}-\frac{16\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(216\,a^5+108\,a^3\,b^2\right)}{b^9}-\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(\frac{288\,a^4}{b^5}+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(72\,a^5\,b^3+108\,a^3\,b^5+9\,a\,b^7\right)}{b^9}-\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(24\,a^3\,b^8+12\,a\,b^{10}\right)}{b^9}-48\,a^2+\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(32\,a^2\,b^3+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(8\,a^3\,b^{11}+12\,a\,b^{13}\right)}{b^9}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)}{2\,\left(a^2\,b^4+b^6\right)}+\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(\frac{288\,a^4}{b^5}+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(72\,a^5\,b^3+108\,a^3\,b^5+9\,a\,b^7\right)}{b^9}-\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(48\,a^2-\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(24\,a^3\,b^8+12\,a\,b^{10}\right)}{b^9}+\frac{3\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,\left(32\,a^2\,b^3+\frac{8\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(8\,a^3\,b^{11}+12\,a\,b^{13}\right)}{b^9}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)}{2\,\left(a^2\,b^4+b^6\right)}\right)}{2\,\left(a^2\,b^4+b^6\right)}}\right)\,\left(2\,a^2+b^2\right)\,\sqrt{a^2+b^2}\,3{}\mathrm{i}}{d\,\left(a^2\,b^4+b^6\right)}","Not used",1,"((6*a^2 - b^2)/b^3 - (2*tan(c/2 + (d*x)/2)^2*(6*a^4 + b^4 - 9*a^2*b^2))/(a^2*b^3) + (tan(c/2 + (d*x)/2)*(21*a^2 - 2*b^2))/(a*b^2) + (tan(c/2 + (d*x)/2)^4*(6*a^4 + 2*b^4 - 9*a^2*b^2))/(a^2*b^3) - (4*tan(c/2 + (d*x)/2)^3*(6*a^2 - b^2))/(a*b^2) + (tan(c/2 + (d*x)/2)^5*(3*a^2 - 2*b^2))/(a*b^2))/(d*(tan(c/2 + (d*x)/2)^4*(3*a^2 - 4*b^2) - tan(c/2 + (d*x)/2)^2*(3*a^2 - 4*b^2) - a^2*tan(c/2 + (d*x)/2)^6 + a^2 - 8*a*b*tan(c/2 + (d*x)/2)^3 + 4*a*b*tan(c/2 + (d*x)/2)^5 + 4*a*b*tan(c/2 + (d*x)/2))) - (6*a*atanh(tan(c/2 + (d*x)/2)))/(b^4*d) + (atan((((2*a^2 + b^2)*(a^2 + b^2)^(1/2)*((288*a^4)/b^5 + (8*tan(c/2 + (d*x)/2)*(9*a*b^7 + 108*a^3*b^5 + 72*a^5*b^3))/b^9 - (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*((8*tan(c/2 + (d*x)/2)*(12*a*b^10 + 24*a^3*b^8))/b^9 - 48*a^2 + (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*(32*a^2*b^3 + (8*tan(c/2 + (d*x)/2)*(12*a*b^13 + 8*a^3*b^11))/b^9))/(2*(b^6 + a^2*b^4))))/(2*(b^6 + a^2*b^4)))*3i)/(2*(b^6 + a^2*b^4)) + ((2*a^2 + b^2)*(a^2 + b^2)^(1/2)*((288*a^4)/b^5 + (8*tan(c/2 + (d*x)/2)*(9*a*b^7 + 108*a^3*b^5 + 72*a^5*b^3))/b^9 - (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*(48*a^2 - (8*tan(c/2 + (d*x)/2)*(12*a*b^10 + 24*a^3*b^8))/b^9 + (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*(32*a^2*b^3 + (8*tan(c/2 + (d*x)/2)*(12*a*b^13 + 8*a^3*b^11))/b^9))/(2*(b^6 + a^2*b^4))))/(2*(b^6 + a^2*b^4)))*3i)/(2*(b^6 + a^2*b^4)))/((16*(54*a^4 + 27*a^2*b^2))/b^8 - (16*tan(c/2 + (d*x)/2)*(216*a^5 + 108*a^3*b^2))/b^9 - (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*((288*a^4)/b^5 + (8*tan(c/2 + (d*x)/2)*(9*a*b^7 + 108*a^3*b^5 + 72*a^5*b^3))/b^9 - (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*((8*tan(c/2 + (d*x)/2)*(12*a*b^10 + 24*a^3*b^8))/b^9 - 48*a^2 + (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*(32*a^2*b^3 + (8*tan(c/2 + (d*x)/2)*(12*a*b^13 + 8*a^3*b^11))/b^9))/(2*(b^6 + a^2*b^4))))/(2*(b^6 + a^2*b^4))))/(2*(b^6 + a^2*b^4)) + (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*((288*a^4)/b^5 + (8*tan(c/2 + (d*x)/2)*(9*a*b^7 + 108*a^3*b^5 + 72*a^5*b^3))/b^9 - (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*(48*a^2 - (8*tan(c/2 + (d*x)/2)*(12*a*b^10 + 24*a^3*b^8))/b^9 + (3*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*(32*a^2*b^3 + (8*tan(c/2 + (d*x)/2)*(12*a*b^13 + 8*a^3*b^11))/b^9))/(2*(b^6 + a^2*b^4))))/(2*(b^6 + a^2*b^4))))/(2*(b^6 + a^2*b^4))))*(2*a^2 + b^2)*(a^2 + b^2)^(1/2)*3i)/(d*(b^6 + a^2*b^4))","B"
574,1,260,95,5.880191,"\text{Not used}","int(1/(cos(c + d*x)^3*(a + b*tan(c + d*x))^3),x)","\frac{\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(a^2-2\,b^2\right)}{a\,\left(a^2+b^2\right)}-\frac{b}{a^2+b^2}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(a^2+2\,b^2\right)}{a\,\left(a^2+b^2\right)}+\frac{b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(a^2-2\,b^2\right)}{a^2\,\left(a^2+b^2\right)}}{d\,\left(a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(2\,a^2-4\,b^2\right)+a^2-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+4\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}+\frac{\mathrm{atanh}\left(\frac{\left(2\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-\frac{2\,a^2\,b+2\,b^3}{a^2+b^2}\right)\,\left(\frac{a^2}{2}+\frac{b^2}{2}\right)}{{\left(a^2+b^2\right)}^{3/2}}\right)}{d\,{\left(a^2+b^2\right)}^{3/2}}","Not used",1,"((tan(c/2 + (d*x)/2)*(a^2 - 2*b^2))/(a*(a^2 + b^2)) - b/(a^2 + b^2) + (tan(c/2 + (d*x)/2)^3*(a^2 + 2*b^2))/(a*(a^2 + b^2)) + (b*tan(c/2 + (d*x)/2)^2*(a^2 - 2*b^2))/(a^2*(a^2 + b^2)))/(d*(a^2*tan(c/2 + (d*x)/2)^4 - tan(c/2 + (d*x)/2)^2*(2*a^2 - 4*b^2) + a^2 - 4*a*b*tan(c/2 + (d*x)/2)^3 + 4*a*b*tan(c/2 + (d*x)/2))) + atanh(((2*a*tan(c/2 + (d*x)/2) - (2*a^2*b + 2*b^3)/(a^2 + b^2))*(a^2/2 + b^2/2))/(a^2 + b^2)^(3/2))/(d*(a^2 + b^2)^(3/2))","B"
575,1,443,155,4.821992,"\text{Not used}","int(1/(cos(c + d*x)*(a + b*tan(c + d*x))^3),x)","\frac{\ln\left({\left(a^2+b^2\right)}^{5/2}-a^4\,b-b^5-2\,a^2\,b^3+a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+a\,b^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+2\,a^3\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(a^2-\frac{b^2}{2}\right)}{d\,{\left(a^2+b^2\right)}^{5/2}}-\frac{\ln\left({\left(a^2+b^2\right)}^{5/2}+a^4\,b+b^5+2\,a^2\,b^3-a^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-a\,b^4\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)-2\,a^3\,b^2\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)\,\left(2\,a^2-b^2\right)}{2\,d\,{\left(a^2+b^2\right)}^{5/2}}-\frac{\frac{4\,a^2\,b+b^3}{a^4+2\,a^2\,b^2+b^4}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(a^2-2\,b^2\right)\,\left(4\,a^2\,b+b^3\right)}{a^2\,\left(a^4+2\,a^2\,b^2+b^4\right)}+\frac{b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(11\,a^2\,b+2\,b^3\right)}{a\,\left(a^4+2\,a^2\,b^2+b^4\right)}-\frac{b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(5\,a^2\,b+2\,b^3\right)}{a\,\left(a^4+2\,a^2\,b^2+b^4\right)}}{d\,\left(a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(2\,a^2-4\,b^2\right)+a^2-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3+4\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}","Not used",1,"(log((a^2 + b^2)^(5/2) - a^4*b - b^5 - 2*a^2*b^3 + a^5*tan(c/2 + (d*x)/2) + a*b^4*tan(c/2 + (d*x)/2) + 2*a^3*b^2*tan(c/2 + (d*x)/2))*(a^2 - b^2/2))/(d*(a^2 + b^2)^(5/2)) - (log((a^2 + b^2)^(5/2) + a^4*b + b^5 + 2*a^2*b^3 - a^5*tan(c/2 + (d*x)/2) - a*b^4*tan(c/2 + (d*x)/2) - 2*a^3*b^2*tan(c/2 + (d*x)/2))*(2*a^2 - b^2))/(2*d*(a^2 + b^2)^(5/2)) - ((4*a^2*b + b^3)/(a^4 + b^4 + 2*a^2*b^2) - (tan(c/2 + (d*x)/2)^2*(a^2 - 2*b^2)*(4*a^2*b + b^3))/(a^2*(a^4 + b^4 + 2*a^2*b^2)) + (b*tan(c/2 + (d*x)/2)*(11*a^2*b + 2*b^3))/(a*(a^4 + b^4 + 2*a^2*b^2)) - (b*tan(c/2 + (d*x)/2)^3*(5*a^2*b + 2*b^3))/(a*(a^4 + b^4 + 2*a^2*b^2)))/(d*(a^2*tan(c/2 + (d*x)/2)^4 - tan(c/2 + (d*x)/2)^2*(2*a^2 - 4*b^2) + a^2 - 4*a*b*tan(c/2 + (d*x)/2)^3 + 4*a*b*tan(c/2 + (d*x)/2)))","B"
576,1,610,221,7.324001,"\text{Not used}","int(cos(c + d*x)/(a + b*tan(c + d*x))^3,x)","-\frac{\frac{-6\,a^4\,b+10\,a^2\,b^3+b^5}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(2\,a^5+2\,a^3\,b^2+15\,a\,b^4\right)}{a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(2\,a^6\,b-30\,a^4\,b^3+15\,a^2\,b^5+2\,b^7\right)}{a^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}-\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(2\,a^6+18\,a^4\,b^2-31\,a^2\,b^4-2\,b^6\right)}{a\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(2\,a^6-6\,a^4\,b^2+9\,a^2\,b^4+2\,b^6\right)}{a\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(2\,a^6\,b-2\,a^4\,b^3+12\,a^2\,b^5+b^7\right)}{a^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}}{d\,\left(a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+a^2-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(a^2-4\,b^2\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(a^2-4\,b^2\right)-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+4\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}-\frac{\mathrm{atan}\left(\frac{-1{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^7+a^6\,b\,1{}\mathrm{i}-3{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5\,b^2+a^4\,b^3\,3{}\mathrm{i}-3{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^4+a^2\,b^5\,3{}\mathrm{i}-1{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^6+b^7\,1{}\mathrm{i}}{{\left(a^2+b^2\right)}^{7/2}}\right)\,\left(3\,b^4-12\,a^2\,b^2\right)\,1{}\mathrm{i}}{d\,{\left(a^2+b^2\right)}^{7/2}}","Not used",1,"- ((b^5 - 6*a^4*b + 10*a^2*b^3)/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) + (2*tan(c/2 + (d*x)/2)^3*(15*a*b^4 + 2*a^5 + 2*a^3*b^2))/(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2) + (tan(c/2 + (d*x)/2)^4*(2*a^6*b + 2*b^7 + 15*a^2*b^5 - 30*a^4*b^3))/(a^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (tan(c/2 + (d*x)/2)*(2*a^6 - 2*b^6 - 31*a^2*b^4 + 18*a^4*b^2))/(a*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (tan(c/2 + (d*x)/2)^5*(2*a^6 + 2*b^6 + 9*a^2*b^4 - 6*a^4*b^2))/(a*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (2*tan(c/2 + (d*x)/2)^2*(2*a^6*b + b^7 + 12*a^2*b^5 - 2*a^4*b^3))/(a^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^2*tan(c/2 + (d*x)/2)^6 + a^2 - tan(c/2 + (d*x)/2)^2*(a^2 - 4*b^2) - tan(c/2 + (d*x)/2)^4*(a^2 - 4*b^2) - 4*a*b*tan(c/2 + (d*x)/2)^5 + 4*a*b*tan(c/2 + (d*x)/2))) - (atan((a^6*b*1i + b^7*1i + a^2*b^5*3i + a^4*b^3*3i - a^7*tan(c/2 + (d*x)/2)*1i - a*b^6*tan(c/2 + (d*x)/2)*1i - a^3*b^4*tan(c/2 + (d*x)/2)*3i - a^5*b^2*tan(c/2 + (d*x)/2)*3i)/(a^2 + b^2)^(7/2))*(3*b^4 - 12*a^2*b^2)*1i)/(d*(a^2 + b^2)^(7/2))","B"
577,1,1128,310,8.827429,"\text{Not used}","int(cos(c + d*x)^3/(a + b*tan(c + d*x))^3,x)","\frac{\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5\,\left(2\,a^7+4\,a^5\,b^2+62\,a^3\,b^4-255\,a\,b^6\right)}{3\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}+\frac{6\,a^6\,b+64\,a^4\,b^3-50\,a^2\,b^5-3\,b^7}{3\,\left(a^2+b^2\right)\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(6\,a^6\,b+50\,a^4\,b^3-64\,a^2\,b^5-3\,b^7\right)}{3\,a^2\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9\,\left(2\,a^8+8\,a^6\,b^2-18\,a^4\,b^4+13\,a^2\,b^6+2\,b^8\right)}{a\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}-\frac{4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7\,\left(2\,a^6+6\,a^4\,b^2+36\,a^2\,b^4-3\,b^6\right)}{3\,a\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}-\frac{{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,\left(2\,a^8\,b+8\,a^6\,b^3-78\,a^4\,b^5+23\,a^2\,b^7+2\,b^9\right)}{a^2\,\left(a^8+4\,a^6\,b^2+6\,a^4\,b^4+4\,a^2\,b^6+b^8\right)}+\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(8\,a^8\,b+28\,a^6\,b^3+188\,a^4\,b^5-156\,a^2\,b^7-9\,b^9\right)}{3\,a^2\,\left(a^2+b^2\right)\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}-\frac{2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,\left(14\,a^8\,b+56\,a^6\,b^3-246\,a^4\,b^5+141\,a^2\,b^7+9\,b^9\right)}{3\,a^2\,\left(a^2+b^2\right)\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}+\frac{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,\left(6\,a^8+48\,a^6\,b^2+202\,a^4\,b^4-161\,a^2\,b^6-6\,b^8\right)}{3\,a\,\left(a^2+b^2\right)\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}-\frac{4\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3\,\left(2\,a^8-4\,a^6\,b^2-86\,a^4\,b^4+133\,a^2\,b^6+3\,b^8\right)}{3\,a\,\left(a^2+b^2\right)\,\left(a^6+3\,a^4\,b^2+3\,a^2\,b^4+b^6\right)}}{d\,\left(a^2\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^{10}-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6\,\left(2\,a^2-12\,b^2\right)-{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4\,\left(2\,a^2-12\,b^2\right)+a^2+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,\left(a^2+4\,b^2\right)+{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^8\,\left(a^2+4\,b^2\right)+8\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3-8\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^7-4\,a\,b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^9+4\,a\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)}+\frac{b^4\,\mathrm{atan}\left(\frac{-1{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^9+a^8\,b\,1{}\mathrm{i}-4{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^7\,b^2+a^6\,b^3\,4{}\mathrm{i}-6{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^5\,b^4+a^4\,b^5\,6{}\mathrm{i}-4{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a^3\,b^6+a^2\,b^7\,4{}\mathrm{i}-1{}\mathrm{i}\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\,a\,b^8+b^9\,1{}\mathrm{i}}{{\left(a^2+b^2\right)}^{9/2}}\right)\,\left(6\,a^2-b^2\right)\,5{}\mathrm{i}}{d\,{\left(a^2+b^2\right)}^{9/2}}","Not used",1,"((2*tan(c/2 + (d*x)/2)^5*(2*a^7 - 255*a*b^6 + 62*a^3*b^4 + 4*a^5*b^2))/(3*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) + (6*a^6*b - 3*b^7 - 50*a^2*b^5 + 64*a^4*b^3)/(3*(a^2 + b^2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (2*tan(c/2 + (d*x)/2)^2*(6*a^6*b - 3*b^7 - 64*a^2*b^5 + 50*a^4*b^3))/(3*a^2*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c/2 + (d*x)/2)^9*(2*a^8 + 2*b^8 + 13*a^2*b^6 - 18*a^4*b^4 + 8*a^6*b^2))/(a*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) - (4*tan(c/2 + (d*x)/2)^7*(2*a^6 - 3*b^6 + 36*a^2*b^4 + 6*a^4*b^2))/(3*a*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (tan(c/2 + (d*x)/2)^8*(2*a^8*b + 2*b^9 + 23*a^2*b^7 - 78*a^4*b^5 + 8*a^6*b^3))/(a^2*(a^8 + b^8 + 4*a^2*b^6 + 6*a^4*b^4 + 4*a^6*b^2)) + (2*tan(c/2 + (d*x)/2)^4*(8*a^8*b - 9*b^9 - 156*a^2*b^7 + 188*a^4*b^5 + 28*a^6*b^3))/(3*a^2*(a^2 + b^2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (2*tan(c/2 + (d*x)/2)^6*(14*a^8*b + 9*b^9 + 141*a^2*b^7 - 246*a^4*b^5 + 56*a^6*b^3))/(3*a^2*(a^2 + b^2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) + (tan(c/2 + (d*x)/2)*(6*a^8 - 6*b^8 - 161*a^2*b^6 + 202*a^4*b^4 + 48*a^6*b^2))/(3*a*(a^2 + b^2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)) - (4*tan(c/2 + (d*x)/2)^3*(2*a^8 + 3*b^8 + 133*a^2*b^6 - 86*a^4*b^4 - 4*a^6*b^2))/(3*a*(a^2 + b^2)*(a^6 + b^6 + 3*a^2*b^4 + 3*a^4*b^2)))/(d*(a^2*tan(c/2 + (d*x)/2)^10 - tan(c/2 + (d*x)/2)^6*(2*a^2 - 12*b^2) - tan(c/2 + (d*x)/2)^4*(2*a^2 - 12*b^2) + a^2 + tan(c/2 + (d*x)/2)^2*(a^2 + 4*b^2) + tan(c/2 + (d*x)/2)^8*(a^2 + 4*b^2) + 8*a*b*tan(c/2 + (d*x)/2)^3 - 8*a*b*tan(c/2 + (d*x)/2)^7 - 4*a*b*tan(c/2 + (d*x)/2)^9 + 4*a*b*tan(c/2 + (d*x)/2))) + (b^4*atan((a^8*b*1i + b^9*1i + a^2*b^7*4i + a^4*b^5*6i + a^6*b^3*4i - a^9*tan(c/2 + (d*x)/2)*1i - a*b^8*tan(c/2 + (d*x)/2)*1i - a^3*b^6*tan(c/2 + (d*x)/2)*4i - a^5*b^4*tan(c/2 + (d*x)/2)*6i - a^7*b^2*tan(c/2 + (d*x)/2)*4i)/(a^2 + b^2)^(9/2))*(6*a^2 - b^2)*5i)/(d*(a^2 + b^2)^(9/2))","B"
578,0,-1,121,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(7/2)*(a + b*tan(e + f*x)),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d/cos(e + f*x))^(7/2)*(a + b*tan(e + f*x)), x)","F"
579,0,-1,92,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x)),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x)), x)","F"
580,0,-1,88,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x)),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x)), x)","F"
581,1,39,58,0.362884,"\text{Not used}","int((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x)),x)","\frac{2\,\left(b+a\,\sqrt{\cos\left(e+f\,x\right)}\,\mathrm{F}\left(\frac{e}{2}+\frac{f\,x}{2}\middle|2\right)\right)\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{f}","Not used",1,"(2*(b + a*cos(e + f*x)^(1/2)*ellipticF(e/2 + (f*x)/2, 2))*(d/cos(e + f*x))^(1/2))/f","B"
582,0,-1,58,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(1/2),x)","\int \frac{a+b\,\mathrm{tan}\left(e+f\,x\right)}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(1/2), x)","F"
583,0,-1,94,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(3/2),x)","\int \frac{a+b\,\mathrm{tan}\left(e+f\,x\right)}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(3/2), x)","F"
584,0,-1,94,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(5/2),x)","\int \frac{a+b\,\mathrm{tan}\left(e+f\,x\right)}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(5/2), x)","F"
585,0,-1,123,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(7/2),x)","\int \frac{a+b\,\mathrm{tan}\left(e+f\,x\right)}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(7/2), x)","F"
586,0,-1,143,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^2,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^2, x)","F"
587,0,-1,143,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^2,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^2, x)","F"
588,0,-1,103,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^2,x)","\int \sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^2, x)","F"
589,0,-1,95,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(1/2), x)","F"
590,0,-1,139,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(3/2), x)","F"
591,0,-1,145,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(5/2), x)","F"
592,0,-1,184,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(7/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(7/2), x)","F"
593,0,-1,184,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(9/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(9/2), x)","F"
594,0,-1,198,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^3,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^3, x)","F"
595,0,-1,176,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^3,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^3, x)","F"
596,0,-1,129,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^3,x)","\int \sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^3, x)","F"
597,0,-1,178,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(1/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(1/2), x)","F"
598,0,-1,146,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(3/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(3/2), x)","F"
599,0,-1,204,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(5/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(5/2), x)","F"
600,0,-1,170,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(7/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(7/2), x)","F"
601,0,-1,176,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(9/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(9/2), x)","F"
602,0,-1,218,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(11/2),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{11/2}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^3/(d/cos(e + f*x))^(11/2), x)","F"
603,0,-1,456,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(7/2)/(a + b*tan(e + f*x)),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d/cos(e + f*x))^(7/2)/(a + b*tan(e + f*x)), x)","F"
604,0,-1,396,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)/(a + b*tan(e + f*x)),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)/(a + b*tan(e + f*x)), x)","F"
605,0,-1,334,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)/(a + b*tan(e + f*x)),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)/(a + b*tan(e + f*x)), x)","F"
606,0,-1,324,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/2)/(a + b*tan(e + f*x)),x)","\int \frac{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/2)/(a + b*tan(e + f*x)), x)","F"
607,0,-1,451,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))),x)","\int \frac{1}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))), x)","F"
608,0,-1,422,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))), x)","F"
609,0,-1,568,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))), x)","F"
610,0,-1,480,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(7/2)/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(7/2)/(a + b*tan(e + f*x))^2, x)","F"
611,0,-1,440,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)/(a + b*tan(e + f*x))^2, x)","F"
612,0,-1,477,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)/(a + b*tan(e + f*x))^2, x)","F"
613,0,-1,430,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/2)/(a + b*tan(e + f*x))^2,x)","\int \frac{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/2)/(a + b*tan(e + f*x))^2, x)","F"
614,0,-1,555,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^2),x)","\int \frac{1}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^2), x)","F"
615,0,-1,520,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^2),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^2), x)","F"
616,0,-1,700,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^2),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^2), x)","F"
617,0,-1,583,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(7/2)/(a + b*tan(e + f*x))^3,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int((d/cos(e + f*x))^(7/2)/(a + b*tan(e + f*x))^3, x)","F"
618,0,-1,532,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)/(a + b*tan(e + f*x))^3,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)/(a + b*tan(e + f*x))^3, x)","F"
619,0,-1,566,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)/(a + b*tan(e + f*x))^3,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)/(a + b*tan(e + f*x))^3, x)","F"
620,0,-1,515,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/2)/(a + b*tan(e + f*x))^3,x)","\int \frac{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/2)/(a + b*tan(e + f*x))^3, x)","F"
621,0,-1,664,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^3),x)","\int \frac{1}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(1/2)*(a + b*tan(e + f*x))^3), x)","F"
622,0,-1,620,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^3),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(3/2)*(a + b*tan(e + f*x))^3), x)","F"
623,0,-1,814,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^3),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(5/2)*(a + b*tan(e + f*x))^3), x)","F"
624,0,-1,78,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x)),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x)), x)","F"
625,0,-1,76,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x)),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x)), x)","F"
626,0,-1,76,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(1/3),x)","\int \frac{a+b\,\mathrm{tan}\left(e+f\,x\right)}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(1/3), x)","F"
627,0,-1,78,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(5/3),x)","\int \frac{a+b\,\mathrm{tan}\left(e+f\,x\right)}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}} \,d x","Not used",1,"int((a + b*tan(e + f*x))/(d/cos(e + f*x))^(5/3), x)","F"
628,0,-1,119,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x))^2,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x))^2, x)","F"
629,0,-1,119,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x))^2,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x))^2, x)","F"
630,0,-1,119,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(1/3),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(1/3), x)","F"
631,0,-1,119,0.000000,"\text{Not used}","int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(5/3),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}} \,d x","Not used",1,"int((a + b*tan(e + f*x))^2/(d/cos(e + f*x))^(5/3), x)","F"
632,0,-1,552,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)/(a + b*tan(e + f*x)),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)/(a + b*tan(e + f*x)), x)","F"
633,0,-1,552,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)/(a + b*tan(e + f*x)),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)/(a + b*tan(e + f*x)), x)","F"
634,0,-1,579,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x))),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x))), x)","F"
635,0,-1,581,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x))),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x))), x)","F"
636,0,-1,687,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/3)/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/3)/(a + b*tan(e + f*x))^2, x)","F"
637,0,-1,687,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/3)/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/3)/(a + b*tan(e + f*x))^2, x)","F"
638,0,-1,715,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x))^2),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(1/3)*(a + b*tan(e + f*x))^2), x)","F"
639,0,-1,717,0.000000,"\text{Not used}","int(1/((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x))^2),x)","\int \frac{1}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/3}\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int(1/((d/cos(e + f*x))^(5/3)*(a + b*tan(e + f*x))^2), x)","F"
640,0,-1,173,0.000000,"\text{Not used}","int((d/cos(e + f*x))^m*(a + b*tan(e + f*x))^3,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((d/cos(e + f*x))^m*(a + b*tan(e + f*x))^3, x)","F"
641,0,-1,147,0.000000,"\text{Not used}","int((d/cos(e + f*x))^m*(a + b*tan(e + f*x))^2,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d/cos(e + f*x))^m*(a + b*tan(e + f*x))^2, x)","F"
642,0,-1,93,0.000000,"\text{Not used}","int((d/cos(e + f*x))^m*(a + b*tan(e + f*x)),x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^m\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d/cos(e + f*x))^m*(a + b*tan(e + f*x)), x)","F"
643,0,-1,141,0.000000,"\text{Not used}","int((d/cos(e + f*x))^m/(a + b*tan(e + f*x)),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^m}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d/cos(e + f*x))^m/(a + b*tan(e + f*x)), x)","F"
644,0,-1,227,0.000000,"\text{Not used}","int((d/cos(e + f*x))^m/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^m}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d/cos(e + f*x))^m/(a + b*tan(e + f*x))^2, x)","F"
645,0,-1,181,0.000000,"\text{Not used}","int((d/cos(e + f*x))^m*(a + b*tan(e + f*x))^n,x)","\int {\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^m\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((d/cos(e + f*x))^m*(a + b*tan(e + f*x))^n, x)","F"
646,0,-1,161,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/cos(c + d*x)^6,x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{{\cos\left(c+d\,x\right)}^6} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/cos(c + d*x)^6, x)","F"
647,0,-1,88,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/cos(c + d*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{{\cos\left(c+d\,x\right)}^4} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/cos(c + d*x)^4, x)","F"
648,1,51,26,4.306790,"\text{Not used}","int((a + b*tan(c + d*x))^n/cos(c + d*x)^2,x)","\left\{\begin{array}{cl} \frac{\ln\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}{b\,d} & \text{\ if\ \ }n=-1\\ \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{n+1}}{b\,d\,\left(n+1\right)} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, log(a + b*tan(c + d*x))/(b*d), n ~= -1, (a + b*tan(c + d*x))^(n + 1)/(b*d*(n + 1)))","B"
649,0,-1,272,0.000000,"\text{Not used}","int(cos(c + d*x)^2*(a + b*tan(c + d*x))^n,x)","\int {\cos\left(c+d\,x\right)}^2\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^2*(a + b*tan(c + d*x))^n, x)","F"
650,0,-1,434,0.000000,"\text{Not used}","int(cos(c + d*x)^4*(a + b*tan(c + d*x))^n,x)","\int {\cos\left(c+d\,x\right)}^4\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^4*(a + b*tan(c + d*x))^n, x)","F"
651,0,-1,159,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/cos(c + d*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{{\cos\left(c+d\,x\right)}^3} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/cos(c + d*x)^3, x)","F"
652,0,-1,159,0.000000,"\text{Not used}","int((a + b*tan(c + d*x))^n/cos(c + d*x),x)","\int \frac{{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n}{\cos\left(c+d\,x\right)} \,d x","Not used",1,"int((a + b*tan(c + d*x))^n/cos(c + d*x), x)","F"
653,0,-1,161,0.000000,"\text{Not used}","int(cos(c + d*x)*(a + b*tan(c + d*x))^n,x)","\int \cos\left(c+d\,x\right)\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cos(c + d*x)*(a + b*tan(c + d*x))^n, x)","F"
654,0,-1,161,0.000000,"\text{Not used}","int(cos(c + d*x)^3*(a + b*tan(c + d*x))^n,x)","\int {\cos\left(c+d\,x\right)}^3\,{\left(a+b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int(cos(c + d*x)^3*(a + b*tan(c + d*x))^n, x)","F"
655,0,-1,124,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i),x)","\int {\left(e\,\cos\left(c+d\,x\right)\right)}^{7/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e*cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i), x)","F"
656,0,-1,90,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i),x)","\int {\left(e\,\cos\left(c+d\,x\right)\right)}^{5/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e*cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i), x)","F"
657,0,-1,90,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i),x)","\int {\left(e\,\cos\left(c+d\,x\right)\right)}^{3/2}\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e*cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i), x)","F"
658,0,-1,60,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i),x)","\int \sqrt{e\,\cos\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((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i), x)","F"
659,1,74,60,0.557657,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e*cos(c + d*x))^(1/2),x)","\frac{2\,a\,\sqrt{\cos\left(c+d\,x\right)}\,\mathrm{F}\left(\frac{c}{2}+\frac{d\,x}{2}\middle|2\right)}{d\,\sqrt{e\,\cos\left(c+d\,x\right)}}+\frac{a\,\cos\left(c+d\,x\right)\,\sqrt{e\,\cos\left(c+d\,x\right)}\,4{}\mathrm{i}}{d\,e\,\left(\cos\left(2\,c+2\,d\,x\right)+1\right)}","Not used",1,"(2*a*cos(c + d*x)^(1/2)*ellipticF(c/2 + (d*x)/2, 2))/(d*(e*cos(c + d*x))^(1/2)) + (a*cos(c + d*x)*(e*cos(c + d*x))^(1/2)*4i)/(d*e*(cos(2*c + 2*d*x) + 1))","B"
660,0,-1,89,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e*cos(c + d*x))^(3/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/(e*cos(c + d*x))^(3/2), x)","F"
661,0,-1,96,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e*cos(c + d*x))^(5/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/(e*cos(c + d*x))^(5/2), x)","F"
662,0,-1,130,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)/(e*cos(c + d*x))^(7/2),x)","\int \frac{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)/(e*cos(c + d*x))^(7/2), x)","F"
663,0,-1,190,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(e\,\cos\left(c+d\,x\right)\right)}^{7/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e*cos(c + d*x))^(7/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
664,0,-1,154,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(e\,\cos\left(c+d\,x\right)\right)}^{5/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e*cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
665,0,-1,154,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(e\,\cos\left(c+d\,x\right)\right)}^{3/2}}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e*cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
666,0,-1,120,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{\sqrt{e\,\cos\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((e*cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^2, x)","F"
667,0,-1,120,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{\sqrt{e\,\cos\left(c+d\,x\right)}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
668,0,-1,92,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{3/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
669,0,-1,92,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{5/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
670,0,-1,122,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{7/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
671,0,-1,126,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(9/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{9/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(9/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
672,0,-1,164,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(11/2)*(a + a*tan(c + d*x)*1i)^2),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{11/2}\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(11/2)*(a + a*tan(c + d*x)*1i)^2), x)","F"
673,1,96,179,5.172651,"\text{Not used}","int((e*cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{e^3\,\sqrt{e\,\cos\left(c+d\,x\right)}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\sin\left(c+d\,x\right)+\frac{3\,\sin\left(3\,c+3\,d\,x\right)}{35}+\frac{\cos\left(c+d\,x\right)\,1{}\mathrm{i}}{2}+\frac{\cos\left(3\,c+3\,d\,x\right)\,1{}\mathrm{i}}{70}\right)}{d}","Not used",1,"(e^3*(e*cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*((cos(c + d*x)*1i)/2 + sin(c + d*x) + (cos(3*c + 3*d*x)*1i)/70 + (3*sin(3*c + 3*d*x))/35))/d","B"
674,1,84,132,0.771652,"\text{Not used}","int((e*cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{e^2\,\sqrt{e\,\cos\left(c+d\,x\right)}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+4\,\sin\left(2\,c+2\,d\,x\right)-15{}\mathrm{i}\right)}{15\,d}","Not used",1,"(e^2*(e*cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*1i + 4*sin(2*c + 2*d*x) - 15i))/(15*d)","B"
675,1,88,85,0.532730,"\text{Not used}","int((e*cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{2\,e\,\sqrt{e\,\left(2\,{\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-1\right)}\,\left({\cos\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2\,2{}\mathrm{i}+2\,\sin\left(c+d\,x\right)-\mathrm{i}\right)\,\sqrt{\frac{a\,\left(2\,{\cos\left(c+d\,x\right)}^2+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{2\,{\cos\left(c+d\,x\right)}^2}}}{3\,d}","Not used",1,"(2*e*(e*(2*cos(c/2 + (d*x)/2)^2 - 1))^(1/2)*(2*sin(c + d*x) + cos(c/2 + (d*x)/2)^2*2i - 1i)*((a*(sin(2*c + 2*d*x)*1i + 2*cos(c + d*x)^2))/(2*cos(c + d*x)^2))^(1/2))/(3*d)","B"
676,0,-1,36,0.000000,"\text{Not used}","int((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \sqrt{e\,\cos\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
677,0,-1,335,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(1/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{\sqrt{e\,\cos\left(c+d\,x\right)}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(1/2), x)","F"
678,0,-1,524,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(3/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(3/2), x)","F"
679,0,-1,512,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(5/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(5/2), x)","F"
680,0,-1,719,0.000000,"\text{Not used}","int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(7/2),x)","\int \frac{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int((a + a*tan(c + d*x)*1i)^(1/2)/(e*cos(c + d*x))^(7/2), x)","F"
681,1,110,175,5.239496,"\text{Not used}","int((e*cos(c + d*x))^(5/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{e^2\,\sqrt{e\,\cos\left(c+d\,x\right)}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(\cos\left(2\,c+2\,d\,x\right)\,28{}\mathrm{i}+\cos\left(4\,c+4\,d\,x\right)\,5{}\mathrm{i}+42\,\sin\left(2\,c+2\,d\,x\right)+5\,\sin\left(4\,c+4\,d\,x\right)-105{}\mathrm{i}\right)}{140\,a\,d}","Not used",1,"(e^2*(e*cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(2*c + 2*d*x)*28i + cos(4*c + 4*d*x)*5i + 42*sin(2*c + 2*d*x) + 5*sin(4*c + 4*d*x) - 105i))/(140*a*d)","B"
682,1,100,126,1.129158,"\text{Not used}","int((e*cos(c + d*x))^(3/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{e\,\sqrt{e\,\cos\left(c+d\,x\right)}\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}\,\left(35\,\sin\left(c+d\,x\right)+3\,\sin\left(3\,c+3\,d\,x\right)+\cos\left(c+d\,x\right)\,25{}\mathrm{i}+\cos\left(3\,c+3\,d\,x\right)\,3{}\mathrm{i}\right)}{30\,a\,d}","Not used",1,"(e*(e*cos(c + d*x))^(1/2)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2)*(cos(c + d*x)*25i + 35*sin(c + d*x) + cos(3*c + 3*d*x)*3i + 3*sin(3*c + 3*d*x)))/(30*a*d)","B"
683,1,82,80,0.730947,"\text{Not used}","int((e*cos(c + d*x))^(1/2)/(a + a*tan(c + d*x)*1i)^(1/2),x)","\frac{\sqrt{e\,\cos\left(c+d\,x\right)}\,\left(\cos\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}+\sin\left(2\,c+2\,d\,x\right)-3{}\mathrm{i}\right)\,\sqrt{\frac{a\,\left(\cos\left(2\,c+2\,d\,x\right)+1+\sin\left(2\,c+2\,d\,x\right)\,1{}\mathrm{i}\right)}{\cos\left(2\,c+2\,d\,x\right)+1}}}{3\,a\,d}","Not used",1,"((e*cos(c + d*x))^(1/2)*(cos(2*c + 2*d*x)*1i + sin(2*c + 2*d*x) - 3i)*((a*(cos(2*c + 2*d*x) + sin(2*c + 2*d*x)*1i + 1))/(cos(2*c + 2*d*x) + 1))^(1/2))/(3*a*d)","B"
684,0,-1,36,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{\sqrt{e\,\cos\left(c+d\,x\right)}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(1/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
685,0,-1,495,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{3/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(3/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
686,0,-1,470,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{5/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(5/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
687,0,-1,682,0.000000,"\text{Not used}","int(1/((e*cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2)),x)","\int \frac{1}{{\left(e\,\cos\left(c+d\,x\right)\right)}^{7/2}\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int(1/((e*cos(c + d*x))^(7/2)*(a + a*tan(c + d*x)*1i)^(1/2)), x)","F"
688,0,-1,105,0.000000,"\text{Not used}","int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^n,x)","\int {\left(e\,\cos\left(c+d\,x\right)\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^n \,d x","Not used",1,"int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^n, x)","F"
689,0,-1,86,0.000000,"\text{Not used}","int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^2,x)","\int {\left(e\,\cos\left(c+d\,x\right)\right)}^m\,{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2 \,d x","Not used",1,"int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^2, x)","F"
690,0,-1,82,0.000000,"\text{Not used}","int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i),x)","\int {\left(e\,\cos\left(c+d\,x\right)\right)}^m\,\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right) \,d x","Not used",1,"int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i), x)","F"
691,0,-1,86,0.000000,"\text{Not used}","int((e*cos(c + d*x))^m/(a + a*tan(c + d*x)*1i),x)","\int \frac{{\left(e\,\cos\left(c+d\,x\right)\right)}^m}{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e*cos(c + d*x))^m/(a + a*tan(c + d*x)*1i), x)","F"
692,0,-1,86,0.000000,"\text{Not used}","int((e*cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^2,x)","\int \frac{{\left(e\,\cos\left(c+d\,x\right)\right)}^m}{{\left(a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}\right)}^2} \,d x","Not used",1,"int((e*cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^2, x)","F"
693,0,-1,105,0.000000,"\text{Not used}","int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(1/2),x)","\int {\left(e\,\cos\left(c+d\,x\right)\right)}^m\,\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}} \,d x","Not used",1,"int((e*cos(c + d*x))^m*(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
694,0,-1,104,0.000000,"\text{Not used}","int((e*cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(1/2),x)","\int \frac{{\left(e\,\cos\left(c+d\,x\right)\right)}^m}{\sqrt{a+a\,\mathrm{tan}\left(c+d\,x\right)\,1{}\mathrm{i}}} \,d x","Not used",1,"int((e*cos(c + d*x))^m/(a + a*tan(c + d*x)*1i)^(1/2), x)","F"
695,0,-1,183,0.000000,"\text{Not used}","int((d*cos(e + f*x))^m*(a + b*tan(e + f*x))^3,x)","\int {\left(d\,\cos\left(e+f\,x\right)\right)}^m\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^3 \,d x","Not used",1,"int((d*cos(e + f*x))^m*(a + b*tan(e + f*x))^3, x)","F"
696,0,-1,155,0.000000,"\text{Not used}","int((d*cos(e + f*x))^m*(a + b*tan(e + f*x))^2,x)","\int {\left(d\,\cos\left(e+f\,x\right)\right)}^m\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2 \,d x","Not used",1,"int((d*cos(e + f*x))^m*(a + b*tan(e + f*x))^2, x)","F"
697,0,-1,90,0.000000,"\text{Not used}","int((d*cos(e + f*x))^m*(a + b*tan(e + f*x)),x)","\int {\left(d\,\cos\left(e+f\,x\right)\right)}^m\,\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right) \,d x","Not used",1,"int((d*cos(e + f*x))^m*(a + b*tan(e + f*x)), x)","F"
698,0,-1,140,0.000000,"\text{Not used}","int((d*cos(e + f*x))^m/(a + b*tan(e + f*x)),x)","\int \frac{{\left(d\,\cos\left(e+f\,x\right)\right)}^m}{a+b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((d*cos(e + f*x))^m/(a + b*tan(e + f*x)), x)","F"
699,0,-1,227,0.000000,"\text{Not used}","int((d*cos(e + f*x))^m/(a + b*tan(e + f*x))^2,x)","\int \frac{{\left(d\,\cos\left(e+f\,x\right)\right)}^m}{{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^2} \,d x","Not used",1,"int((d*cos(e + f*x))^m/(a + b*tan(e + f*x))^2, x)","F"
700,0,-1,187,0.000000,"\text{Not used}","int((d*cos(e + f*x))^m*(a + b*tan(e + f*x))^n,x)","\int {\left(d\,\cos\left(e+f\,x\right)\right)}^m\,{\left(a+b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((d*cos(e + f*x))^m*(a + b*tan(e + f*x))^n, x)","F"