1,1,16,12,2.569792,"\text{Not used}","int(tan(c + d*x),x)","\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2\,d}","Not used",1,"log(tan(c + d*x)^2 + 1)/(2*d)","B"
2,1,14,14,2.506248,"\text{Not used}","int(tan(c + d*x)^2,x)","\frac{\mathrm{tan}\left(c+d\,x\right)}{d}-x","Not used",1,"tan(c + d*x)/d - x","B"
3,1,30,27,2.505312,"\text{Not used}","int(tan(c + d*x)^3,x)","\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2\,d}-\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2\,d}","Not used",1,"tan(c + d*x)^2/(2*d) - log(tan(c + d*x)^2 + 1)/(2*d)","B"
4,1,24,28,2.502867,"\text{Not used}","int(tan(c + d*x)^4,x)","x-\frac{\mathrm{tan}\left(c+d\,x\right)-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3}}{d}","Not used",1,"x - (tan(c + d*x) - tan(c + d*x)^3/3)/d","B"
5,1,38,43,2.503003,"\text{Not used}","int(tan(c + d*x)^5,x)","\frac{\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4}{4}}{d}","Not used",1,"(log(tan(c + d*x)^2 + 1)/2 - tan(c + d*x)^2/2 + tan(c + d*x)^4/4)/d","B"
6,1,35,44,2.532379,"\text{Not used}","int(tan(c + d*x)^6,x)","\frac{\frac{{\mathrm{tan}\left(c+d\,x\right)}^5}{5}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+\mathrm{tan}\left(c+d\,x\right)}{d}-x","Not used",1,"(tan(c + d*x) - tan(c + d*x)^3/3 + tan(c + d*x)^5/5)/d - x","B"
7,1,49,57,2.493213,"\text{Not used}","int(tan(c + d*x)^7,x)","-\frac{\frac{\ln\left({\mathrm{tan}\left(c+d\,x\right)}^2+1\right)}{2}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^2}{2}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^4}{4}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^6}{6}}{d}","Not used",1,"-(log(tan(c + d*x)^2 + 1)/2 - tan(c + d*x)^2/2 + tan(c + d*x)^4/4 - tan(c + d*x)^6/6)/d","B"
8,1,44,58,2.521285,"\text{Not used}","int(tan(c + d*x)^8,x)","x-\frac{-\frac{{\mathrm{tan}\left(c+d\,x\right)}^7}{7}+\frac{{\mathrm{tan}\left(c+d\,x\right)}^5}{5}-\frac{{\mathrm{tan}\left(c+d\,x\right)}^3}{3}+\mathrm{tan}\left(c+d\,x\right)}{d}","Not used",1,"x - (tan(c + d*x) - tan(c + d*x)^3/3 + tan(c + d*x)^5/5 - tan(c + d*x)^7/7)/d","B"
9,1,93,232,3.176822,"\text{Not used}","int((b*tan(c + d*x))^(7/2),x)","\frac{2\,b\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}{5\,d}-\frac{2\,b^3\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{d}-\frac{{\left(-1\right)}^{1/4}\,b^{7/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/4}\,b^{7/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}\,1{}\mathrm{i}}{\sqrt{b}}\right)}{d}","Not used",1,"(2*b*(b*tan(c + d*x))^(5/2))/(5*d) - (2*b^3*(b*tan(c + d*x))^(1/2))/d - ((-1)^(1/4)*b^(7/2)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))*1i)/d - ((-1)^(1/4)*b^(7/2)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2)*1i)/b^(1/2)))/d","B"
10,1,74,212,2.790550,"\text{Not used}","int((b*tan(c + d*x))^(5/2),x)","\frac{2\,b\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}{3\,d}-\frac{{\left(-1\right)}^{1/4}\,b^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{d}+\frac{{\left(-1\right)}^{1/4}\,b^{5/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{d}","Not used",1,"(2*b*(b*tan(c + d*x))^(3/2))/(3*d) - ((-1)^(1/4)*b^(5/2)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2)))/d + ((-1)^(1/4)*b^(5/2)*atanh(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2)))/d","B"
11,1,73,210,2.738403,"\text{Not used}","int((b*tan(c + d*x))^(3/2),x)","\frac{2\,b\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{d}+\frac{{\left(-1\right)}^{1/4}\,b^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{d}+\frac{{\left(-1\right)}^{1/4}\,b^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{d}","Not used",1,"(2*b*(b*tan(c + d*x))^(1/2))/d + ((-1)^(1/4)*b^(3/2)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))*1i)/d + ((-1)^(1/4)*b^(3/2)*atanh(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))*1i)/d","B"
12,1,49,192,2.624895,"\text{Not used}","int((b*tan(c + d*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,\sqrt{b}\,\left(\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)-\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\right)}{d}","Not used",1,"((-1)^(1/4)*b^(1/2)*(atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2)) - atanh(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))))/d","B"
13,1,59,192,2.723651,"\text{Not used}","int(1/(b*tan(c + d*x))^(1/2),x)","-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{\sqrt{b}\,d}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{\sqrt{b}\,d}","Not used",1,"- ((-1)^(1/4)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))*1i)/(b^(1/2)*d) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))*1i)/(b^(1/2)*d)","B"
14,1,76,212,2.727747,"\text{Not used}","int(1/(b*tan(c + d*x))^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{3/2}\,d}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{3/2}\,d}-\frac{2}{b\,d\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}","Not used",1,"((-1)^(1/4)*atanh(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2)))/(b^(3/2)*d) - ((-1)^(1/4)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2)))/(b^(3/2)*d) - 2/(b*d*(b*tan(c + d*x))^(1/2))","B"
15,1,75,214,3.068022,"\text{Not used}","int(1/(b*tan(c + d*x))^(5/2),x)","-\frac{2}{3\,b\,d\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{3/2}}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{b^{5/2}\,d}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)\,1{}\mathrm{i}}{b^{5/2}\,d}","Not used",1,"((-1)^(1/4)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))*1i)/(b^(5/2)*d) - 2/(3*b*d*(b*tan(c + d*x))^(3/2)) + ((-1)^(1/4)*atanh(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2))*1i)/(b^(5/2)*d)","B"
16,1,92,234,3.114762,"\text{Not used}","int(1/(b*tan(c + d*x))^(7/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{7/2}\,d}-\frac{\frac{2}{5\,b}-\frac{2\,{\mathrm{tan}\left(c+d\,x\right)}^2}{b}}{d\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{5/2}}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{b\,\mathrm{tan}\left(c+d\,x\right)}}{\sqrt{b}}\right)}{b^{7/2}\,d}","Not used",1,"((-1)^(1/4)*atan(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2)))/(b^(7/2)*d) - (2/(5*b) - (2*tan(c + d*x)^2)/b)/(d*(b*tan(c + d*x))^(5/2)) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(b*tan(c + d*x))^(1/2))/b^(1/2)))/(b^(7/2)*d)","B"
17,1,247,243,3.076133,"\text{Not used}","int((b*tan(c + d*x))^(4/3),x)","\frac{3\,b\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d}-\frac{{\left(-1\right)}^{1/6}\,b^{4/3}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{5/6}\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}}{b^{1/3}}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/6}\,b^{4/3}\,\ln\left({\left(-1\right)}^{1/6}\,b^{1/3}+2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{{\left(-1\right)}^{1/6}\,b^{4/3}\,\ln\left(2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}-{\left(-1\right)}^{1/6}\,b^{1/3}+{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{{\left(-1\right)}^{1/6}\,b^{4/3}\,\ln\left({\left(-1\right)}^{1/6}\,b^{1/3}-2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}+\frac{{\left(-1\right)}^{1/6}\,b^{4/3}\,\ln\left({\left(-1\right)}^{1/6}\,b^{1/3}+2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}-{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}","Not used",1,"(3*b*(b*tan(c + d*x))^(1/3))/d - ((-1)^(1/6)*b^(4/3)*atan(((-1)^(5/6)*(b*tan(c + d*x))^(1/3)*1i)/b^(1/3))*1i)/d - ((-1)^(1/6)*b^(4/3)*log((-1)^(1/6)*b^(1/3) + 2*(b*tan(c + d*x))^(1/3) + (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(2*d) - ((-1)^(1/6)*b^(4/3)*log(2*(b*tan(c + d*x))^(1/3) - (-1)^(1/6)*b^(1/3) + (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(2*d) + ((-1)^(1/6)*b^(4/3)*log((-1)^(1/6)*b^(1/3) - 2*(b*tan(c + d*x))^(1/3) + (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/4 + 1/4))/d + ((-1)^(1/6)*b^(4/3)*log((-1)^(1/6)*b^(1/3) + 2*(b*tan(c + d*x))^(1/3) - (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/4 - 1/4))/d","B"
18,1,259,224,2.950070,"\text{Not used}","int((b*tan(c + d*x))^(2/3),x)","\frac{{\left(-1\right)}^{1/6}\,b^{2/3}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{b^{1/3}}\right)\,1{}\mathrm{i}}{d}-\frac{{\left(-1\right)}^{1/6}\,b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}+\frac{486\,{\left(-1\right)}^{1/6}\,b^{26/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}-\frac{{\left(-1\right)}^{1/6}\,b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}+\frac{486\,{\left(-1\right)}^{1/6}\,b^{26/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{{\left(-1\right)}^{1/6}\,b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}-\frac{486\,{\left(-1\right)}^{1/6}\,b^{26/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}+\frac{{\left(-1\right)}^{1/6}\,b^{2/3}\,\ln\left(\frac{972\,b^9}{d^3}-\frac{486\,{\left(-1\right)}^{1/6}\,b^{26/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{d^3}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}","Not used",1,"((-1)^(1/6)*b^(2/3)*atan(((-1)^(2/3)*(b*tan(c + d*x))^(1/3))/b^(1/3))*1i)/d - ((-1)^(1/6)*b^(2/3)*log((972*b^9)/d^3 + (486*(-1)^(1/6)*b^(26/3)*(3^(1/2)*1i - 1)*(b*tan(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/2 - 1/2))/(2*d) - ((-1)^(1/6)*b^(2/3)*log((972*b^9)/d^3 + (486*(-1)^(1/6)*b^(26/3)*(3^(1/2)*1i + 1)*(b*tan(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/2 + 1/2))/(2*d) + ((-1)^(1/6)*b^(2/3)*log((972*b^9)/d^3 - (486*(-1)^(1/6)*b^(26/3)*(3^(1/2)*1i - 1)*(b*tan(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/4 - 1/4))/d + ((-1)^(1/6)*b^(2/3)*log((972*b^9)/d^3 - (486*(-1)^(1/6)*b^(26/3)*(3^(1/2)*1i + 1)*(b*tan(c + d*x))^(1/3))/d^3)*((3^(1/2)*1i)/4 + 1/4))/d","B"
19,1,146,131,2.631578,"\text{Not used}","int((b*tan(c + d*x))^(1/3),x)","\frac{{\left(-b\right)}^{1/3}\,\ln\left(81\,{\left(-b\right)}^{16/3}\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}+81\,b^6\right)}{2\,d}-\frac{{\left(-b\right)}^{1/3}\,\ln\left(\frac{81\,b^6}{d^4}-\frac{81\,{\left(-b\right)}^{16/3}\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}}{d^4}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,d}+\frac{{\left(-b\right)}^{1/3}\,\ln\left(\frac{81\,b^6}{d^4}+\frac{162\,{\left(-b\right)}^{16/3}\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}}{d^4}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{d}","Not used",1,"((-b)^(1/3)*log(81*(-b)^(16/3)*(b*tan(c + d*x))^(2/3) + 81*b^6))/(2*d) - ((-b)^(1/3)*log((81*b^6)/d^4 - (81*(-b)^(16/3)*((3^(1/2)*1i)/2 + 1/2)*(b*tan(c + d*x))^(2/3))/d^4)*((3^(1/2)*1i)/2 + 1/2))/(2*d) + ((-b)^(1/3)*log((81*b^6)/d^4 + (162*(-b)^(16/3)*((3^(1/2)*1i)/4 - 1/4)*(b*tan(c + d*x))^(2/3))/d^4)*((3^(1/2)*1i)/4 - 1/4))/d","B"
20,1,128,131,2.731654,"\text{Not used}","int(1/(b*tan(c + d*x))^(1/3),x)","\frac{\ln\left({\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}+b^{2/3}\right)}{2\,b^{1/3}\,d}+\frac{\ln\left(\frac{81\,b^{11/3}\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{d^3}+\frac{162\,b^3\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}}{d^3}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,b^{1/3}\,d}-\frac{\ln\left(\frac{81\,b^{11/3}\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{d^3}-\frac{162\,b^3\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{2/3}}{d^3}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4\,b^{1/3}\,d}","Not used",1,"log((b*tan(c + d*x))^(2/3) + b^(2/3))/(2*b^(1/3)*d) + (log((81*b^(11/3)*(3^(1/2)*1i - 1))/d^3 + (162*b^3*(b*tan(c + d*x))^(2/3))/d^3)*(3^(1/2)*1i - 1))/(4*b^(1/3)*d) - (log((81*b^(11/3)*(3^(1/2)*1i + 1))/d^3 - (162*b^3*(b*tan(c + d*x))^(2/3))/d^3)*(3^(1/2)*1i + 1))/(4*b^(1/3)*d)","B"
21,1,230,224,2.702874,"\text{Not used}","int(1/(b*tan(c + d*x))^(2/3),x)","\frac{{\left(-1\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{5/6}\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\,1{}\mathrm{i}}{b^{1/3}}\right)\,1{}\mathrm{i}}{b^{2/3}\,d}-\frac{{\left(-1\right)}^{1/6}\,\ln\left({\left(-1\right)}^{1/6}\,b^{1/3}-2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,b^{2/3}\,d}-\frac{{\left(-1\right)}^{1/6}\,\ln\left({\left(-1\right)}^{1/6}\,b^{1/3}+2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}-{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,b^{2/3}\,d}+\frac{{\left(-1\right)}^{1/6}\,\ln\left({\left(-1\right)}^{1/6}\,b^{1/3}+2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}+{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{b^{2/3}\,d}+\frac{{\left(-1\right)}^{1/6}\,\ln\left(2\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}-{\left(-1\right)}^{1/6}\,b^{1/3}+{\left(-1\right)}^{2/3}\,\sqrt{3}\,b^{1/3}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{b^{2/3}\,d}","Not used",1,"((-1)^(1/6)*atan(((-1)^(5/6)*(b*tan(c + d*x))^(1/3)*1i)/b^(1/3))*1i)/(b^(2/3)*d) - ((-1)^(1/6)*log((-1)^(1/6)*b^(1/3) - 2*(b*tan(c + d*x))^(1/3) + (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(2*b^(2/3)*d) - ((-1)^(1/6)*log((-1)^(1/6)*b^(1/3) + 2*(b*tan(c + d*x))^(1/3) - (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(2*b^(2/3)*d) + ((-1)^(1/6)*log((-1)^(1/6)*b^(1/3) + 2*(b*tan(c + d*x))^(1/3) + (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/4 + 1/4))/(b^(2/3)*d) + ((-1)^(1/6)*log(2*(b*tan(c + d*x))^(1/3) - (-1)^(1/6)*b^(1/3) + (-1)^(2/3)*3^(1/2)*b^(1/3))*((3^(1/2)*1i)/4 - 1/4))/(b^(2/3)*d)","B"
22,1,278,245,2.548068,"\text{Not used}","int(1/(b*tan(c + d*x))^(4/3),x)","-\frac{3}{b\,d\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}-\frac{{\left(-1\right)}^{1/6}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}}{b^{1/3}}\right)\,1{}\mathrm{i}}{b^{4/3}\,d}-\frac{{\left(-1\right)}^{1/6}\,\ln\left(972\,b^{12}\,d^6-972\,{\left(-1\right)}^{1/6}\,b^{35/3}\,d^6\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,b^{4/3}\,d}-\frac{{\left(-1\right)}^{1/6}\,\ln\left(972\,b^{12}\,d^6-972\,{\left(-1\right)}^{1/6}\,b^{35/3}\,d^6\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{2\,b^{4/3}\,d}+\frac{{\left(-1\right)}^{1/6}\,\ln\left(972\,b^{12}\,d^6+1944\,{\left(-1\right)}^{1/6}\,b^{35/3}\,d^6\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\right)\,\left(-\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{b^{4/3}\,d}+\frac{{\left(-1\right)}^{1/6}\,\ln\left(972\,b^{12}\,d^6+1944\,{\left(-1\right)}^{1/6}\,b^{35/3}\,d^6\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^{1/3}\right)\,\left(\frac{1}{4}+\frac{\sqrt{3}\,1{}\mathrm{i}}{4}\right)}{b^{4/3}\,d}","Not used",1,"((-1)^(1/6)*log(972*b^12*d^6 + 1944*(-1)^(1/6)*b^(35/3)*d^6*((3^(1/2)*1i)/4 - 1/4)*(b*tan(c + d*x))^(1/3))*((3^(1/2)*1i)/4 - 1/4))/(b^(4/3)*d) - ((-1)^(1/6)*atan(((-1)^(2/3)*(b*tan(c + d*x))^(1/3))/b^(1/3))*1i)/(b^(4/3)*d) - ((-1)^(1/6)*log(972*b^12*d^6 - 972*(-1)^(1/6)*b^(35/3)*d^6*((3^(1/2)*1i)/2 - 1/2)*(b*tan(c + d*x))^(1/3))*((3^(1/2)*1i)/2 - 1/2))/(2*b^(4/3)*d) - ((-1)^(1/6)*log(972*b^12*d^6 - 972*(-1)^(1/6)*b^(35/3)*d^6*((3^(1/2)*1i)/2 + 1/2)*(b*tan(c + d*x))^(1/3))*((3^(1/2)*1i)/2 + 1/2))/(2*b^(4/3)*d) - 3/(b*d*(b*tan(c + d*x))^(1/3)) + ((-1)^(1/6)*log(972*b^12*d^6 + 1944*(-1)^(1/6)*b^(35/3)*d^6*((3^(1/2)*1i)/4 + 1/4)*(b*tan(c + d*x))^(1/3))*((3^(1/2)*1i)/4 + 1/4))/(b^(4/3)*d)","B"
23,0,-1,50,0.000000,"\text{Not used}","int((b*tan(c + d*x))^n,x)","\int {\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((b*tan(c + d*x))^n, x)","F"
24,0,-1,98,0.000000,"\text{Not used}","int((b*tan(c + d*x)^2)^(5/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}^{5/2} \,d x","Not used",1,"int((b*tan(c + d*x)^2)^(5/2), x)","F"
25,0,-1,61,0.000000,"\text{Not used}","int((b*tan(c + d*x)^2)^(3/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}^{3/2} \,d x","Not used",1,"int((b*tan(c + d*x)^2)^(3/2), x)","F"
26,0,-1,32,0.000000,"\text{Not used}","int((b*tan(c + d*x)^2)^(1/2),x)","\int \sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^2} \,d x","Not used",1,"int((b*tan(c + d*x)^2)^(1/2), x)","F"
27,1,34,31,2.446076,"\text{Not used}","int(1/(b*tan(c + d*x)^2)^(1/2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{-b}\,\mathrm{tan}\left(c+d\,x\right)}{\sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^2}}\right)}{\sqrt{-b}\,d}","Not used",1,"atan(((-b)^(1/2)*tan(c + d*x))/(b*tan(c + d*x)^2)^(1/2))/((-b)^(1/2)*d)","B"
28,0,-1,66,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^2)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^2)^(3/2), x)","F"
29,0,-1,97,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^2)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}^{5/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^2)^(5/2), x)","F"
30,0,-1,364,0.000000,"\text{Not used}","int((b*tan(c + d*x)^3)^(5/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}^{5/2} \,d x","Not used",1,"int((b*tan(c + d*x)^3)^(5/2), x)","F"
31,0,-1,286,0.000000,"\text{Not used}","int((b*tan(c + d*x)^3)^(3/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}^{3/2} \,d x","Not used",1,"int((b*tan(c + d*x)^3)^(3/2), x)","F"
32,0,-1,255,0.000000,"\text{Not used}","int((b*tan(c + d*x)^3)^(1/2),x)","\int \sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^3} \,d x","Not used",1,"int((b*tan(c + d*x)^3)^(1/2), x)","F"
33,0,-1,255,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^3)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^3}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^3)^(1/2), x)","F"
34,0,-1,298,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^3)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^3)^(3/2), x)","F"
35,0,-1,364,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^3)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}^{5/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^3)^(5/2), x)","F"
36,0,-1,182,0.000000,"\text{Not used}","int((b*tan(c + d*x)^4)^(5/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^4\right)}^{5/2} \,d x","Not used",1,"int((b*tan(c + d*x)^4)^(5/2), x)","F"
37,0,-1,110,0.000000,"\text{Not used}","int((b*tan(c + d*x)^4)^(3/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^4\right)}^{3/2} \,d x","Not used",1,"int((b*tan(c + d*x)^4)^(3/2), x)","F"
38,0,-1,50,0.000000,"\text{Not used}","int((b*tan(c + d*x)^4)^(1/2),x)","\int \sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^4} \,d x","Not used",1,"int((b*tan(c + d*x)^4)^(1/2), x)","F"
39,0,-1,51,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^4)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^4}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^4)^(1/2), x)","F"
40,0,-1,119,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^4)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^4\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^4)^(3/2), x)","F"
41,0,-1,183,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^4)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^4\right)}^{5/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^4)^(5/2), x)","F"
42,0,-1,59,0.000000,"\text{Not used}","int((b*tan(c + d*x)^p)^n,x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^p\right)}^n \,d x","Not used",1,"int((b*tan(c + d*x)^p)^n, x)","F"
43,0,-1,59,0.000000,"\text{Not used}","int((b*tan(c + d*x)^2)^n,x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^2\right)}^n \,d x","Not used",1,"int((b*tan(c + d*x)^2)^n, x)","F"
44,0,-1,57,0.000000,"\text{Not used}","int((b*tan(c + d*x)^3)^n,x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^3\right)}^n \,d x","Not used",1,"int((b*tan(c + d*x)^3)^n, x)","F"
45,0,-1,59,0.000000,"\text{Not used}","int((b*tan(c + d*x)^4)^n,x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^4\right)}^n \,d x","Not used",1,"int((b*tan(c + d*x)^4)^n, x)","F"
46,0,-1,71,0.000000,"\text{Not used}","int((b*tan(c + d*x)^p)^(5/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^p\right)}^{5/2} \,d x","Not used",1,"int((b*tan(c + d*x)^p)^(5/2), x)","F"
47,0,-1,65,0.000000,"\text{Not used}","int((b*tan(c + d*x)^p)^(3/2),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^p\right)}^{3/2} \,d x","Not used",1,"int((b*tan(c + d*x)^p)^(3/2), x)","F"
48,0,-1,56,0.000000,"\text{Not used}","int((b*tan(c + d*x)^p)^(1/2),x)","\int \sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^p} \,d x","Not used",1,"int((b*tan(c + d*x)^p)^(1/2), x)","F"
49,0,-1,62,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^p)^(1/2),x)","\int \frac{1}{\sqrt{b\,{\mathrm{tan}\left(c+d\,x\right)}^p}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^p)^(1/2), x)","F"
50,0,-1,71,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^p)^(3/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^p\right)}^{3/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^p)^(3/2), x)","F"
51,0,-1,71,0.000000,"\text{Not used}","int(1/(b*tan(c + d*x)^p)^(5/2),x)","\int \frac{1}{{\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^p\right)}^{5/2}} \,d x","Not used",1,"int(1/(b*tan(c + d*x)^p)^(5/2), x)","F"
52,0,-1,32,0.000000,"\text{Not used}","int((b*tan(c + d*x)^p)^(1/p),x)","\int {\left(b\,{\mathrm{tan}\left(c+d\,x\right)}^p\right)}^{1/p} \,d x","Not used",1,"int((b*tan(c + d*x)^p)^(1/p), x)","F"
53,0,-1,61,0.000000,"\text{Not used}","int((a*(b*tan(c + d*x))^p)^n,x)","\int {\left(a\,{\left(b\,\mathrm{tan}\left(c+d\,x\right)\right)}^p\right)}^n \,d x","Not used",1,"int((a*(b*tan(c + d*x))^p)^n, x)","F"
54,0,-1,257,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*tan(a + b*x))^(1/2),x)","\int {\sin\left(a+b\,x\right)}^4\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*tan(a + b*x))^(1/2), x)","F"
55,0,-1,227,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*tan(a + b*x))^(1/2),x)","\int {\sin\left(a+b\,x\right)}^2\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*tan(a + b*x))^(1/2), x)","F"
56,1,48,18,3.046524,"\text{Not used}","int((d*tan(a + b*x))^(1/2)/sin(a + b*x)^2,x)","-\frac{\sin\left(2\,a+2\,b\,x\right)\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}}{b\,{\sin\left(a+b\,x\right)}^2}","Not used",1,"-(sin(2*a + 2*b*x)*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2))/(b*sin(a + b*x)^2)","B"
57,1,102,41,6.531776,"\text{Not used}","int((d*tan(a + b*x))^(1/2)/sin(a + b*x)^4,x)","\frac{8\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,2{}\mathrm{i}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,2{}\mathrm{i}-{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{5\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}","Not used",1,"(8*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*(exp(a*2i + b*x*2i)*2i + exp(a*4i + b*x*4i)*2i - exp(a*6i + b*x*6i)*1i - 1i))/(5*b*(exp(a*2i + b*x*2i) - 1)^3)","B"
58,1,356,63,7.016536,"\text{Not used}","int((d*tan(a + b*x))^(1/2)/sin(a + b*x)^6,x)","-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{45\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{45\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{15\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^4}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^5}","Not used",1,"((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*64i)/(45*b*(exp(a*2i + b*x*2i) - 1)^2) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*64i)/(45*b*(exp(a*2i + b*x*2i) - 1)) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*32i)/(15*b*(exp(a*2i + b*x*2i) - 1)^3) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*64i)/(9*b*(exp(a*2i + b*x*2i) - 1)^4) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*32i)/(9*b*(exp(a*2i + b*x*2i) - 1)^5)","B"
59,0,-1,105,0.000000,"\text{Not used}","int(sin(a + b*x)^3*(d*tan(a + b*x))^(1/2),x)","\int {\sin\left(a+b\,x\right)}^3\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^3*(d*tan(a + b*x))^(1/2), x)","F"
60,0,-1,75,0.000000,"\text{Not used}","int(sin(a + b*x)*(d*tan(a + b*x))^(1/2),x)","\int \sin\left(a+b\,x\right)\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)*(d*tan(a + b*x))^(1/2), x)","F"
61,0,-1,47,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(1/2)/sin(a + b*x),x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*tan(a + b*x))^(1/2)/sin(a + b*x), x)","F"
62,0,-1,77,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(1/2)/sin(a + b*x)^3,x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*tan(a + b*x))^(1/2)/sin(a + b*x)^3, x)","F"
63,0,-1,105,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(1/2)/sin(a + b*x)^5,x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{{\sin\left(a+b\,x\right)}^5} \,d x","Not used",1,"int((d*tan(a + b*x))^(1/2)/sin(a + b*x)^5, x)","F"
64,0,-1,277,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*tan(a + b*x))^(3/2),x)","\int {\sin\left(a+b\,x\right)}^4\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*tan(a + b*x))^(3/2), x)","F"
65,0,-1,247,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*tan(a + b*x))^(3/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*tan(a + b*x))^(3/2), x)","F"
66,1,43,18,2.765258,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/sin(a + b*x)^2,x)","\frac{2\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{b}","Not used",1,"(2*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/b","B"
67,1,100,41,3.494267,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/sin(a + b*x)^4,x)","\frac{8\,d\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}\,\left(11\,\cos\left(2\,a+2\,b\,x\right)-5\,\cos\left(4\,a+4\,b\,x\right)+\cos\left(6\,a+6\,b\,x\right)-7\right)}{3\,b\,\left(15\,\cos\left(2\,a+2\,b\,x\right)-6\,\cos\left(4\,a+4\,b\,x\right)+\cos\left(6\,a+6\,b\,x\right)-10\right)}","Not used",1,"(8*d*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2)*(11*cos(2*a + 2*b*x) - 5*cos(4*a + 4*b*x) + cos(6*a + 6*b*x) - 7))/(3*b*(15*cos(2*a + 2*b*x) - 6*cos(4*a + 4*b*x) + cos(6*a + 6*b*x) - 10))","B"
68,1,292,63,5.877441,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/sin(a + b*x)^6,x)","-\frac{\left(\frac{20\,d}{21\,b}-\frac{64\,d\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}}{21\,b}\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1}+\frac{20\,d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{21\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}-\frac{24\,d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}-\frac{16\,d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^4}","Not used",1,"(20*d*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(21*b*(exp(a*2i + b*x*2i) - 1)^2) - (((20*d)/(21*b) - (64*d*exp(a*2i + b*x*2i))/(21*b))*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(exp(a*2i + b*x*2i) - 1) - (24*d*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(7*b*(exp(a*2i + b*x*2i) - 1)^3) - (16*d*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(7*b*(exp(a*2i + b*x*2i) - 1)^4)","B"
69,0,-1,110,0.000000,"\text{Not used}","int(sin(a + b*x)^3*(d*tan(a + b*x))^(3/2),x)","\int {\sin\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)^3*(d*tan(a + b*x))^(3/2), x)","F"
70,0,-1,76,0.000000,"\text{Not used}","int(sin(a + b*x)*(d*tan(a + b*x))^(3/2),x)","\int \sin\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)*(d*tan(a + b*x))^(3/2), x)","F"
71,0,-1,76,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/sin(a + b*x),x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*tan(a + b*x))^(3/2)/sin(a + b*x), x)","F"
72,0,-1,102,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*tan(a + b*x))^(3/2)/sin(a + b*x)^3, x)","F"
73,0,-1,277,0.000000,"\text{Not used}","int(sin(a + b*x)^4*(d*tan(a + b*x))^(5/2),x)","\int {\sin\left(a+b\,x\right)}^4\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)^4*(d*tan(a + b*x))^(5/2), x)","F"
74,0,-1,247,0.000000,"\text{Not used}","int(sin(a + b*x)^2*(d*tan(a + b*x))^(5/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)^2*(d*tan(a + b*x))^(5/2), x)","F"
75,1,56,20,2.475599,"\text{Not used}","int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^2,x)","\frac{2\,d^2\,\sin\left(2\,a+2\,b\,x\right)\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}}{3\,b\,\left(\cos\left(2\,a+2\,b\,x\right)+1\right)}","Not used",1,"(2*d^2*sin(2*a + 2*b*x)*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2))/(3*b*(cos(2*a + 2*b*x) + 1))","B"
76,1,64,41,2.721290,"\text{Not used}","int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^4,x)","-\frac{4\,d^2\,\left(\sin\left(2\,a+2\,b\,x\right)+\sin\left(4\,a+4\,b\,x\right)\right)\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}}{3\,b\,{\sin\left(2\,a+2\,b\,x\right)}^2}","Not used",1,"-(4*d^2*(sin(2*a + 2*b*x) + sin(4*a + 4*b*x))*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2))/(3*b*sin(2*a + 2*b*x)^2)","B"
77,1,134,63,5.463750,"\text{Not used}","int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^6,x)","\frac{32\,d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,2{}\mathrm{i}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,3{}\mathrm{i}+{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}\,2{}\mathrm{i}-{\mathrm{e}}^{a\,8{}\mathrm{i}+b\,x\,8{}\mathrm{i}}\,2{}\mathrm{i}-2{}\mathrm{i}\right)}{15\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}","Not used",1,"(32*d^2*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*(exp(a*2i + b*x*2i)*2i + exp(a*4i + b*x*4i)*3i + exp(a*6i + b*x*6i)*2i - exp(a*8i + b*x*8i)*2i - 2i))/(15*b*(exp(a*2i + b*x*2i) - 1)^3*(exp(a*2i + b*x*2i) + 1))","B"
78,0,-1,137,0.000000,"\text{Not used}","int(sin(a + b*x)^3*(d*tan(a + b*x))^(5/2),x)","\int {\sin\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)^3*(d*tan(a + b*x))^(5/2), x)","F"
79,0,-1,108,0.000000,"\text{Not used}","int(sin(a + b*x)*(d*tan(a + b*x))^(5/2),x)","\int \sin\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)*(d*tan(a + b*x))^(5/2), x)","F"
80,0,-1,80,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(5/2)/sin(a + b*x),x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int((d*tan(a + b*x))^(5/2)/sin(a + b*x), x)","F"
81,0,-1,80,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^3,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^3, x)","F"
82,0,-1,110,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^5,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}}{{\sin\left(a+b\,x\right)}^5} \,d x","Not used",1,"int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^5, x)","F"
83,0,-1,140,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^7,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}}{{\sin\left(a+b\,x\right)}^7} \,d x","Not used",1,"int((d*tan(a + b*x))^(5/2)/sin(a + b*x)^7, x)","F"
84,0,-1,257,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*tan(a + b*x))^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*tan(a + b*x))^(1/2), x)","F"
85,0,-1,227,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*tan(a + b*x))^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*tan(a + b*x))^(1/2), x)","F"
86,1,102,20,3.326107,"\text{Not used}","int(1/(sin(a + b*x)^2*(d*tan(a + b*x))^(1/2)),x)","-\frac{2\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}\,\left(\cos\left(2\,a+2\,b\,x\right)+2\,\cos\left(4\,a+4\,b\,x\right)-\cos\left(6\,a+6\,b\,x\right)-2\right)}{3\,b\,d\,\left(15\,\cos\left(2\,a+2\,b\,x\right)-6\,\cos\left(4\,a+4\,b\,x\right)+\cos\left(6\,a+6\,b\,x\right)-10\right)}","Not used",1,"-(2*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2)*(cos(2*a + 2*b*x) + 2*cos(4*a + 4*b*x) - cos(6*a + 6*b*x) - 2))/(3*b*d*(15*cos(2*a + 2*b*x) - 6*cos(4*a + 4*b*x) + cos(6*a + 6*b*x) - 10))","B"
87,1,530,43,7.187882,"\text{Not used}","int(1/(sin(a + b*x)^4*(d*tan(a + b*x))^(1/2)),x)","\frac{344\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{105\,b\,d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}+\frac{40\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{21\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}+\frac{24\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{35\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,304{}\mathrm{i}}{105\,b\,d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}+\frac{16\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{7\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,144{}\mathrm{i}}{35\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{16\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{7\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}","Not used",1,"(344*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(105*b*d*(exp(a*2i + b*x*2i) - 1)) + (40*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(21*b*d*(exp(a*2i + b*x*2i) - 1)^2) + (24*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(35*b*d*(exp(a*2i + b*x*2i) - 1)^3) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*304i)/(105*b*d*(exp(a*2i + b*x*2i)*1i - 1i)) + (16*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(7*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^2) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*144i)/(35*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^3) - (16*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(7*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^4)","B"
88,1,831,65,12.396590,"\text{Not used}","int(1/(sin(a + b*x)^6*(d*tan(a + b*x))^(1/2)),x)","-\frac{41984\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{10395\,b\,d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}-\frac{128\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{35\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}-\frac{7136\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{1155\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}-\frac{1216\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{231\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^4}-\frac{160\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{99\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^5}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,44864{}\mathrm{i}}{10395\,b\,d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{3904\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{1155\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,1088{}\mathrm{i}}{165\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}+\frac{320\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{21\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,1600{}\mathrm{i}}{99\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^5}-\frac{64\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{11\,b\,d\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^6}","Not used",1,"((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*44864i)/(10395*b*d*(exp(a*2i + b*x*2i)*1i - 1i)) - (128*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(35*b*d*(exp(a*2i + b*x*2i) - 1)^2) - (7136*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(1155*b*d*(exp(a*2i + b*x*2i) - 1)^3) - (1216*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(231*b*d*(exp(a*2i + b*x*2i) - 1)^4) - (160*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(99*b*d*(exp(a*2i + b*x*2i) - 1)^5) - (41984*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(10395*b*d*(exp(a*2i + b*x*2i) - 1)) - (3904*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(1155*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^2) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*1088i)/(165*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^3) + (320*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(21*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^4) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*1600i)/(99*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^5) - (64*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(11*b*d*(exp(a*2i + b*x*2i)*1i - 1i)^6)","B"
89,0,-1,107,0.000000,"\text{Not used}","int(sin(a + b*x)^5/(d*tan(a + b*x))^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^5}{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^5/(d*tan(a + b*x))^(1/2), x)","F"
90,0,-1,79,0.000000,"\text{Not used}","int(sin(a + b*x)^3/(d*tan(a + b*x))^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^3}{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^3/(d*tan(a + b*x))^(1/2), x)","F"
91,0,-1,47,0.000000,"\text{Not used}","int(sin(a + b*x)/(d*tan(a + b*x))^(1/2),x)","\int \frac{\sin\left(a+b\,x\right)}{\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)/(d*tan(a + b*x))^(1/2), x)","F"
92,0,-1,72,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*tan(a + b*x))^(1/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*tan(a + b*x))^(1/2)), x)","F"
93,0,-1,102,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^3*(d*tan(a + b*x))^(1/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^3\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}} \,d x","Not used",1,"int(1/(sin(a + b*x)^3*(d*tan(a + b*x))^(1/2)), x)","F"
94,0,-1,257,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*tan(a + b*x))^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*tan(a + b*x))^(3/2), x)","F"
95,0,-1,227,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*tan(a + b*x))^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*tan(a + b*x))^(3/2), x)","F"
96,1,381,20,6.446747,"\text{Not used}","int(1/(sin(a + b*x)^2*(d*tan(a + b*x))^(3/2)),x)","-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,14{}\mathrm{i}}{5\,b\,d^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,8{}\mathrm{i}}{15\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}-\frac{16\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{5\,b\,d^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{15\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{8\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{5\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}","Not used",1,"(8*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(5*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^3) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*8i)/(15*b*d^2*(exp(a*2i + b*x*2i) - 1)^2) - (16*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(5*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*32i)/(15*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^2) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*14i)/(5*b*d^2*(exp(a*2i + b*x*2i) - 1))","B"
97,1,684,43,8.148628,"\text{Not used}","int(1/(sin(a + b*x)^4*(d*tan(a + b*x))^(3/2)),x)","\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,6088{}\mathrm{i}}{945\,b\,d^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,4024{}\mathrm{i}}{945\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,200{}\mathrm{i}}{63\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{63\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^4}+\frac{1184\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{189\,b\,d^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,4192{}\mathrm{i}}{945\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}-\frac{2176\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{315\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,512{}\mathrm{i}}{63\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}+\frac{32\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{9\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^5}","Not used",1,"((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*6088i)/(945*b*d^2*(exp(a*2i + b*x*2i) - 1)) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*4024i)/(945*b*d^2*(exp(a*2i + b*x*2i) - 1)^2) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*200i)/(63*b*d^2*(exp(a*2i + b*x*2i) - 1)^3) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*64i)/(63*b*d^2*(exp(a*2i + b*x*2i) - 1)^4) + (1184*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(189*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*4192i)/(945*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^2) - (2176*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(315*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^3) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*512i)/(63*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^4) + (32*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(9*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^5)","B"
98,1,987,65,16.412899,"\text{Not used}","int(1/(sin(a + b*x)^6*(d*tan(a + b*x))^(3/2)),x)","-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,18368{}\mathrm{i}}{2145\,b\,d^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,294464{}\mathrm{i}}{45045\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,24608{}\mathrm{i}}{2145\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,135104{}\mathrm{i}}{9009\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^4}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,13088{}\mathrm{i}}{1287\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^5}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,384{}\mathrm{i}}{143\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^6}-\frac{55808\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{6435\,b\,d^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,7424{}\mathrm{i}}{1155\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{128\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{11\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,228736{}\mathrm{i}}{9009\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}-\frac{17152\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{429\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^5}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,4608{}\mathrm{i}}{143\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^6}+\frac{128\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{13\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^7}","Not used",1,"(128*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(11*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^3) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*294464i)/(45045*b*d^2*(exp(a*2i + b*x*2i) - 1)^2) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*24608i)/(2145*b*d^2*(exp(a*2i + b*x*2i) - 1)^3) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*135104i)/(9009*b*d^2*(exp(a*2i + b*x*2i) - 1)^4) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*13088i)/(1287*b*d^2*(exp(a*2i + b*x*2i) - 1)^5) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*384i)/(143*b*d^2*(exp(a*2i + b*x*2i) - 1)^6) - (55808*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(6435*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*7424i)/(1155*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^2) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*18368i)/(2145*b*d^2*(exp(a*2i + b*x*2i) - 1)) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*228736i)/(9009*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^4) - (17152*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(429*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^5) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*4608i)/(143*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^6) + (128*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(13*b*d^2*(exp(a*2i + b*x*2i)*1i - 1i)^7)","B"
99,0,-1,112,0.000000,"\text{Not used}","int(sin(a + b*x)^3/(d*tan(a + b*x))^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^3}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^3/(d*tan(a + b*x))^(3/2), x)","F"
100,0,-1,79,0.000000,"\text{Not used}","int(sin(a + b*x)/(d*tan(a + b*x))^(3/2),x)","\int \frac{\sin\left(a+b\,x\right)}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)/(d*tan(a + b*x))^(3/2), x)","F"
101,0,-1,82,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*tan(a + b*x))^(3/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*tan(a + b*x))^(3/2)), x)","F"
102,0,-1,112,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^3*(d*tan(a + b*x))^(3/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^3*(d*tan(a + b*x))^(3/2)), x)","F"
103,0,-1,257,0.000000,"\text{Not used}","int(sin(a + b*x)^4/(d*tan(a + b*x))^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^4}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^4/(d*tan(a + b*x))^(5/2), x)","F"
104,0,-1,227,0.000000,"\text{Not used}","int(sin(a + b*x)^2/(d*tan(a + b*x))^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/(d*tan(a + b*x))^(5/2), x)","F"
105,1,530,20,7.397046,"\text{Not used}","int(1/(sin(a + b*x)^2*(d*tan(a + b*x))^(5/2)),x)","\frac{46\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{7\,b\,d^3\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}+\frac{12\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{5\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}+\frac{24\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{35\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,48{}\mathrm{i}}{7\,b\,d^3\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}+\frac{144\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{35\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,144{}\mathrm{i}}{35\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{16\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{7\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}","Not used",1,"(46*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(7*b*d^3*(exp(a*2i + b*x*2i) - 1)) + (12*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(5*b*d^3*(exp(a*2i + b*x*2i) - 1)^2) + (24*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(35*b*d^3*(exp(a*2i + b*x*2i) - 1)^3) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*48i)/(7*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)) + (144*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(35*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^2) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*144i)/(35*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^3) - (16*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(7*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^4)","B"
106,1,831,43,12.140218,"\text{Not used}","int(1/(sin(a + b*x)^4*(d*tan(a + b*x))^(5/2)),x)","-\frac{14456\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{1155\,b\,d^3\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}-\frac{7768\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{945\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}-\frac{4232\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{495\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}-\frac{1328\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{231\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^4}-\frac{160\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{99\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^5}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,2048{}\mathrm{i}}{165\,b\,d^3\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{86528\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{10395\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,3904{}\mathrm{i}}{315\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}+\frac{4160\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{231\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,1600{}\mathrm{i}}{99\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^5}-\frac{64\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{11\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^6}","Not used",1,"((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*2048i)/(165*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)) - (7768*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(945*b*d^3*(exp(a*2i + b*x*2i) - 1)^2) - (4232*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(495*b*d^3*(exp(a*2i + b*x*2i) - 1)^3) - (1328*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(231*b*d^3*(exp(a*2i + b*x*2i) - 1)^4) - (160*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(99*b*d^3*(exp(a*2i + b*x*2i) - 1)^5) - (14456*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(1155*b*d^3*(exp(a*2i + b*x*2i) - 1)) - (86528*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(10395*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^2) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*3904i)/(315*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^3) + (4160*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(231*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^4) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*1600i)/(99*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^5) - (64*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(11*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^6)","B"
107,1,1132,65,14.006767,"\text{Not used}","int(1/(sin(a + b*x)^6*(d*tan(a + b*x))^(5/2)),x)","\frac{199232\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{12285\,b\,d^3\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}+\frac{1581376\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{135135\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2}+\frac{4539104\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{225225\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}+\frac{1152\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{35\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^4}+\frac{74528\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{2145\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^5}+\frac{1088\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{55\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^6}+\frac{896\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{195\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^7}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,439808{}\mathrm{i}}{27027\,b\,d^3\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}+\frac{1573888\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{135135\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,4557824{}\mathrm{i}}{225225\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{7168\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{165\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}-\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,172288{}\mathrm{i}}{2145\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^5}+\frac{5376\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{55\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^6}+\frac{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,12544{}\mathrm{i}}{195\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^7}-\frac{256\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{15\,b\,d^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^8}","Not used",1,"(199232*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(12285*b*d^3*(exp(a*2i + b*x*2i) - 1)) + (1581376*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(135135*b*d^3*(exp(a*2i + b*x*2i) - 1)^2) + (4539104*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(225225*b*d^3*(exp(a*2i + b*x*2i) - 1)^3) + (1152*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(35*b*d^3*(exp(a*2i + b*x*2i) - 1)^4) + (74528*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(2145*b*d^3*(exp(a*2i + b*x*2i) - 1)^5) + (1088*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(55*b*d^3*(exp(a*2i + b*x*2i) - 1)^6) + (896*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(195*b*d^3*(exp(a*2i + b*x*2i) - 1)^7) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*439808i)/(27027*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)) + (1573888*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(135135*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^2) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*4557824i)/(225225*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^3) - (7168*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(165*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^4) - ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*172288i)/(2145*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^5) + (5376*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(55*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^6) + ((exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*12544i)/(195*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^7) - (256*(exp(a*2i + b*x*2i) + 1)*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(15*b*d^3*(exp(a*2i + b*x*2i)*1i - 1i)^8)","B"
108,0,-1,144,0.000000,"\text{Not used}","int(sin(a + b*x)^7/(d*tan(a + b*x))^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^7}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^7/(d*tan(a + b*x))^(5/2), x)","F"
109,0,-1,114,0.000000,"\text{Not used}","int(sin(a + b*x)^5/(d*tan(a + b*x))^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^5}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^5/(d*tan(a + b*x))^(5/2), x)","F"
110,0,-1,84,0.000000,"\text{Not used}","int(sin(a + b*x)^3/(d*tan(a + b*x))^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^3}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^3/(d*tan(a + b*x))^(5/2), x)","F"
111,0,-1,78,0.000000,"\text{Not used}","int(sin(a + b*x)/(d*tan(a + b*x))^(5/2),x)","\int \frac{\sin\left(a+b\,x\right)}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)/(d*tan(a + b*x))^(5/2), x)","F"
112,0,-1,110,0.000000,"\text{Not used}","int(1/(sin(a + b*x)*(d*tan(a + b*x))^(5/2)),x)","\int \frac{1}{\sin\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)*(d*tan(a + b*x))^(5/2)), x)","F"
113,0,-1,140,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^3*(d*tan(a + b*x))^(5/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^3*(d*tan(a + b*x))^(5/2)), x)","F"
114,1,80,68,4.330265,"\text{Not used}","int((a*sin(e + f*x))^(5/2)*(b*tan(e + f*x))^(1/2),x)","\frac{a^2\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(18\,\sin\left(2\,e+2\,f\,x\right)-\sin\left(4\,e+4\,f\,x\right)\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{10\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-1\right)}","Not used",1,"(a^2*(a*sin(e + f*x))^(1/2)*(18*sin(2*e + 2*f*x) - sin(4*e + 4*f*x))*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(10*f*(cos(2*e + 2*f*x) - 1))","B"
115,0,-1,88,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^(1/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}\,\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^(1/2), x)","F"
116,1,60,30,2.897958,"\text{Not used}","int((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^(1/2),x)","\frac{\sin\left(2\,e+2\,f\,x\right)\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{2\,{\cos\left(e+f\,x\right)}^2}}}{f\,\left({\cos\left(e+f\,x\right)}^2-1\right)}","Not used",1,"(sin(2*e + 2*f*x)*(a*sin(e + f*x))^(1/2)*((b*sin(2*e + 2*f*x))/(2*cos(e + f*x)^2))^(1/2))/(f*(cos(e + f*x)^2 - 1))","B"
117,0,-1,50,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(a*sin(e + f*x))^(1/2),x)","\int \frac{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{a\,\sin\left(e+f\,x\right)}} \,d x","Not used",1,"int((b*tan(e + f*x))^(1/2)/(a*sin(e + f*x))^(1/2), x)","F"
118,0,-1,107,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(a*sin(e + f*x))^(3/2),x)","\int \frac{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(1/2)/(a*sin(e + f*x))^(3/2), x)","F"
119,0,-1,86,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(a*sin(e + f*x))^(5/2),x)","\int \frac{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(1/2)/(a*sin(e + f*x))^(5/2), x)","F"
120,0,-1,126,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(5/2)*(b*tan(e + f*x))^(3/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a*sin(e + f*x))^(5/2)*(b*tan(e + f*x))^(3/2), x)","F"
121,1,69,68,3.731159,"\text{Not used}","int((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^(3/2),x)","\frac{a\,b\,\left(13\,\sin\left(e+f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{6\,f\,{\sin\left(e+f\,x\right)}^2}","Not used",1,"(a*b*(13*sin(e + f*x) + sin(3*e + 3*f*x))*(a*sin(e + f*x))^(1/2)*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(6*f*sin(e + f*x)^2)","B"
122,0,-1,84,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^(3/2),x)","\int \sqrt{a\,\sin\left(e+f\,x\right)}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^(3/2), x)","F"
123,1,39,30,3.065523,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(a*sin(e + f*x))^(1/2),x)","\frac{2\,b\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{2\,{\cos\left(e+f\,x\right)}^2}}}{f\,\sqrt{a\,\sin\left(e+f\,x\right)}}","Not used",1,"(2*b*((b*sin(2*e + 2*f*x))/(2*cos(e + f*x)^2))^(1/2))/(f*(a*sin(e + f*x))^(1/2))","B"
124,0,-1,90,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(a*sin(e + f*x))^(3/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)/(a*sin(e + f*x))^(3/2), x)","F"
125,0,-1,145,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(a*sin(e + f*x))^(5/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)/(a*sin(e + f*x))^(5/2), x)","F"
126,0,-1,123,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(9/2)/(b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{9/2}}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(9/2)/(b*tan(e + f*x))^(1/2), x)","F"
127,1,88,68,4.822645,"\text{Not used}","int((a*sin(e + f*x))^(7/2)/(b*tan(e + f*x))^(1/2),x)","-\frac{a^3\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\sqrt{-\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{2\,{\sin\left(e+f\,x\right)}^2-2}}\,\left(22\,\sin\left(e+f\,x\right)+19\,\sin\left(3\,e+3\,f\,x\right)-3\,\sin\left(5\,e+5\,f\,x\right)\right)}{168\,b\,f\,{\sin\left(e+f\,x\right)}^2}","Not used",1,"-(a^3*(a*sin(e + f*x))^(1/2)*(-(b*sin(2*e + 2*f*x))/(2*sin(e + f*x)^2 - 2))^(1/2)*(22*sin(e + f*x) + 19*sin(3*e + 3*f*x) - 3*sin(5*e + 5*f*x)))/(168*b*f*sin(e + f*x)^2)","B"
128,0,-1,88,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(5/2)/(b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(5/2)/(b*tan(e + f*x))^(1/2), x)","F"
129,1,69,32,3.633558,"\text{Not used}","int((a*sin(e + f*x))^(3/2)/(b*tan(e + f*x))^(1/2),x)","-\frac{a\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(\sin\left(e+f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{6\,b\,f\,{\sin\left(e+f\,x\right)}^2}","Not used",1,"-(a*(a*sin(e + f*x))^(1/2)*(sin(e + f*x) + sin(3*e + 3*f*x))*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(6*b*f*sin(e + f*x)^2)","B"
130,0,-1,50,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(1/2)/(b*tan(e + f*x))^(1/2),x)","\int \frac{\sqrt{a\,\sin\left(e+f\,x\right)}}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^(1/2)/(b*tan(e + f*x))^(1/2), x)","F"
131,0,-1,106,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^(1/2)),x)","\int \frac{1}{\sqrt{a\,\sin\left(e+f\,x\right)}\,\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^(1/2)), x)","F"
132,0,-1,87,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^(1/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}\,\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^(1/2)), x)","F"
133,0,-1,146,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(5/2)*(b*tan(e + f*x))^(1/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}\,\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(5/2)*(b*tan(e + f*x))^(1/2)), x)","F"
134,1,296,146,8.600714,"\text{Not used}","int((a*sin(e + f*x))^(13/2)/(b*tan(e + f*x))^(3/2),x)","\frac{\left(\cos\left(7\,e+7\,f\,x\right)-\sin\left(7\,e+7\,f\,x\right)\,1{}\mathrm{i}\right)\,\sqrt{\frac{b\,\left(\sin\left(2\,e+2\,f\,x\right)-\cos\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}+1{}\mathrm{i}\right)}{\cos\left(2\,e+2\,f\,x\right)+1+\sin\left(2\,e+2\,f\,x\right)\,1{}\mathrm{i}}}\,\left(\frac{a^6\,\cos\left(3\,e+3\,f\,x\right)\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(\cos\left(7\,e+7\,f\,x\right)+\sin\left(7\,e+7\,f\,x\right)\,1{}\mathrm{i}\right)\,217{}\mathrm{i}}{9360\,b^2\,f}-\frac{a^6\,\cos\left(5\,e+5\,f\,x\right)\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(\cos\left(7\,e+7\,f\,x\right)+\sin\left(7\,e+7\,f\,x\right)\,1{}\mathrm{i}\right)\,41{}\mathrm{i}}{1872\,b^2\,f}+\frac{a^6\,\cos\left(7\,e+7\,f\,x\right)\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(\cos\left(7\,e+7\,f\,x\right)+\sin\left(7\,e+7\,f\,x\right)\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{208\,b^2\,f}+\frac{a^6\,\cos\left(e+f\,x\right)\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(\cos\left(7\,e+7\,f\,x\right)+\sin\left(7\,e+7\,f\,x\right)\,1{}\mathrm{i}\right)\,1991{}\mathrm{i}}{9360\,b^2\,f}\right)\,1{}\mathrm{i}}{2\,\sin\left(e+f\,x\right)}","Not used",1,"((cos(7*e + 7*f*x) - sin(7*e + 7*f*x)*1i)*((b*(sin(2*e + 2*f*x) - cos(2*e + 2*f*x)*1i + 1i))/(cos(2*e + 2*f*x) + sin(2*e + 2*f*x)*1i + 1))^(1/2)*((a^6*cos(3*e + 3*f*x)*(a*sin(e + f*x))^(1/2)*(cos(7*e + 7*f*x) + sin(7*e + 7*f*x)*1i)*217i)/(9360*b^2*f) - (a^6*cos(5*e + 5*f*x)*(a*sin(e + f*x))^(1/2)*(cos(7*e + 7*f*x) + sin(7*e + 7*f*x)*1i)*41i)/(1872*b^2*f) + (a^6*cos(7*e + 7*f*x)*(a*sin(e + f*x))^(1/2)*(cos(7*e + 7*f*x) + sin(7*e + 7*f*x)*1i)*1i)/(208*b^2*f) + (a^6*cos(e + f*x)*(a*sin(e + f*x))^(1/2)*(cos(7*e + 7*f*x) + sin(7*e + 7*f*x)*1i)*1991i)/(9360*b^2*f))*1i)/(2*sin(e + f*x))","B"
135,1,94,109,5.479652,"\text{Not used}","int((a*sin(e + f*x))^(9/2)/(b*tan(e + f*x))^(3/2),x)","\frac{a^4\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(47\,\sin\left(2\,e+2\,f\,x\right)+16\,\sin\left(4\,e+4\,f\,x\right)-5\,\sin\left(6\,e+6\,f\,x\right)\right)}{360\,b^2\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-1\right)}","Not used",1,"(a^4*(a*sin(e + f*x))^(1/2)*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2)*(47*sin(2*e + 2*f*x) + 16*sin(4*e + 4*f*x) - 5*sin(6*e + 6*f*x)))/(360*b^2*f*(cos(2*e + 2*f*x) - 1))","B"
136,1,81,32,4.011882,"\text{Not used}","int((a*sin(e + f*x))^(5/2)/(b*tan(e + f*x))^(3/2),x)","\frac{a^2\,\sqrt{a\,\sin\left(e+f\,x\right)}\,\left(2\,\sin\left(2\,e+2\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{10\,b^2\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-1\right)}","Not used",1,"(a^2*(a*sin(e + f*x))^(1/2)*(2*sin(2*e + 2*f*x) + sin(4*e + 4*f*x))*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(10*b^2*f*(cos(2*e + 2*f*x) - 1))","B"
137,0,-1,141,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(1/2)/(b*tan(e + f*x))^(3/2),x)","\int \frac{\sqrt{a\,\sin\left(e+f\,x\right)}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(1/2)/(b*tan(e + f*x))^(3/2), x)","F"
138,0,-1,151,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^(3/2)), x)","F"
139,0,-1,167,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(11/2)/(b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{11/2}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(11/2)/(b*tan(e + f*x))^(3/2), x)","F"
140,0,-1,130,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(7/2)/(b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{7/2}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(7/2)/(b*tan(e + f*x))^(3/2), x)","F"
141,0,-1,93,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(3/2)/(b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^(3/2)/(b*tan(e + f*x))^(3/2), x)","F"
142,0,-1,86,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^(3/2)),x)","\int \frac{1}{\sqrt{a\,\sin\left(e+f\,x\right)}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^(3/2)), x)","F"
143,0,-1,130,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(5/2)*(b*tan(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{5/2}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(5/2)*(b*tan(e + f*x))^(3/2)), x)","F"
144,0,-1,167,0.000000,"\text{Not used}","int(1/((a*sin(e + f*x))^(9/2)*(b*tan(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{9/2}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/((a*sin(e + f*x))^(9/2)*(b*tan(e + f*x))^(3/2)), x)","F"
145,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(4/3)*(d*tan(e + f*x))^(1/2),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{4/3}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((b*sin(e + f*x))^(4/3)*(d*tan(e + f*x))^(1/2), x)","F"
146,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/3)*(d*tan(e + f*x))^(1/2),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/3)*(d*tan(e + f*x))^(1/2), x)","F"
147,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(b*sin(e + f*x))^(1/3),x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)/(b*sin(e + f*x))^(1/3), x)","F"
148,0,-1,62,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(b*sin(e + f*x))^(4/3),x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)/(b*sin(e + f*x))^(4/3), x)","F"
149,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(4/3)*(d*tan(e + f*x))^(3/2),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{4/3}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((b*sin(e + f*x))^(4/3)*(d*tan(e + f*x))^(3/2), x)","F"
150,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/3)*(d*tan(e + f*x))^(3/2),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/3)*(d*tan(e + f*x))^(3/2), x)","F"
151,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(b*sin(e + f*x))^(1/3),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(3/2)/(b*sin(e + f*x))^(1/3), x)","F"
152,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(b*sin(e + f*x))^(4/3),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(b\,\sin\left(e+f\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(3/2)/(b*sin(e + f*x))^(4/3), x)","F"
153,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/2)*(d*tan(e + f*x))^(4/3),x)","\int \sqrt{b\,\sin\left(e+f\,x\right)}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/2)*(d*tan(e + f*x))^(4/3), x)","F"
154,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/2)*(d*tan(e + f*x))^(1/3),x)","\int \sqrt{b\,\sin\left(e+f\,x\right)}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/2)*(d*tan(e + f*x))^(1/3), x)","F"
155,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/2)/(d*tan(e + f*x))^(1/3),x)","\int \frac{\sqrt{b\,\sin\left(e+f\,x\right)}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/2)/(d*tan(e + f*x))^(1/3), x)","F"
156,0,-1,62,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(1/2)/(d*tan(e + f*x))^(4/3),x)","\int \frac{\sqrt{b\,\sin\left(e+f\,x\right)}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int((b*sin(e + f*x))^(1/2)/(d*tan(e + f*x))^(4/3), x)","F"
157,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(3/2)*(d*tan(e + f*x))^(4/3),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{3/2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3} \,d x","Not used",1,"int((b*sin(e + f*x))^(3/2)*(d*tan(e + f*x))^(4/3), x)","F"
158,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(3/2)*(d*tan(e + f*x))^(1/3),x)","\int {\left(b\,\sin\left(e+f\,x\right)\right)}^{3/2}\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3} \,d x","Not used",1,"int((b*sin(e + f*x))^(3/2)*(d*tan(e + f*x))^(1/3), x)","F"
159,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(3/2)/(d*tan(e + f*x))^(1/3),x)","\int \frac{{\left(b\,\sin\left(e+f\,x\right)\right)}^{3/2}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int((b*sin(e + f*x))^(3/2)/(d*tan(e + f*x))^(1/3), x)","F"
160,0,-1,64,0.000000,"\text{Not used}","int((b*sin(e + f*x))^(3/2)/(d*tan(e + f*x))^(4/3),x)","\int \frac{{\left(b\,\sin\left(e+f\,x\right)\right)}^{3/2}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int((b*sin(e + f*x))^(3/2)/(d*tan(e + f*x))^(4/3), x)","F"
161,0,-1,48,0.000000,"\text{Not used}","int(tan(e + f*x)^3*(a*sin(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^3\,{\left(a\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^3*(a*sin(e + f*x))^m, x)","F"
162,0,-1,48,0.000000,"\text{Not used}","int(tan(e + f*x)*(a*sin(e + f*x))^m,x)","\int \mathrm{tan}\left(e+f\,x\right)\,{\left(a\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(tan(e + f*x)*(a*sin(e + f*x))^m, x)","F"
163,1,17,17,2.454207,"\text{Not used}","int(cot(e + f*x)*(a*sin(e + f*x))^m,x)","\frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^m}{f\,m}","Not used",1,"(a*sin(e + f*x))^m/(f*m)","B"
164,1,91,46,3.312018,"\text{Not used}","int(cot(e + f*x)^3*(a*sin(e + f*x))^m,x)","-\frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^m\,\left(m-4\,{\sin\left(2\,e+2\,f\,x\right)}^2+m\,\left(2\,{\sin\left(2\,e+2\,f\,x\right)}^2-1\right)+16\,{\sin\left(e+f\,x\right)}^2\right)}{f\,m\,\left(2\,{\sin\left(2\,e+2\,f\,x\right)}^2-8\,{\sin\left(e+f\,x\right)}^2\right)\,\left(m-2\right)}","Not used",1,"-((a*sin(e + f*x))^m*(m - 4*sin(2*e + 2*f*x)^2 + m*(2*sin(2*e + 2*f*x)^2 - 1) + 16*sin(e + f*x)^2))/(f*m*(2*sin(2*e + 2*f*x)^2 - 8*sin(e + f*x)^2)*(m - 2))","B"
165,1,219,72,7.573192,"\text{Not used}","int(cot(e + f*x)^5*(a*sin(e + f*x))^m,x)","-\frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^m\,\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{2\,\left(2\,{\sin\left(2\,e+2\,f\,x\right)}^2-1\right)\,\left(-2\,{\sin\left(2\,e+2\,f\,x\right)}^2+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+1\right)}{f\,m}+\frac{\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(6\,m^2-4\,m+48\right)}{f\,m\,\left(m^2-6\,m+8\right)}+\frac{2\,\left(2\,{\sin\left(e+f\,x\right)}^2-1\right)\,\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(-4\,m^2+8\,m+32\right)}{f\,m\,\left(m^2-6\,m+8\right)}\right)}{16\,{\sin\left(e+f\,x\right)}^4}","Not used",1,"-((a*sin(e + f*x))^m*(sin(4*e + 4*f*x)*1i + 2*sin(2*e + 2*f*x)^2 - 1)*(((sin(4*e + 4*f*x)*1i - 2*sin(2*e + 2*f*x)^2 + 1)*(6*m^2 - 4*m + 48))/(f*m*(m^2 - 6*m + 8)) - (2*(2*sin(2*e + 2*f*x)^2 - 1)*(sin(4*e + 4*f*x)*1i - 2*sin(2*e + 2*f*x)^2 + 1))/(f*m) + (2*(2*sin(e + f*x)^2 - 1)*(sin(4*e + 4*f*x)*1i - 2*sin(2*e + 2*f*x)^2 + 1)*(8*m - 4*m^2 + 32))/(f*m*(m^2 - 6*m + 8))))/(16*sin(e + f*x)^4)","B"
166,0,-1,68,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(a*sin(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(a\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^4*(a*sin(e + f*x))^m, x)","F"
167,0,-1,68,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(a*sin(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(a\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^2*(a*sin(e + f*x))^m, x)","F"
168,0,-1,69,0.000000,"\text{Not used}","int(cot(e + f*x)^2*(a*sin(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^2\,{\left(a\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^2*(a*sin(e + f*x))^m, x)","F"
169,0,-1,71,0.000000,"\text{Not used}","int(cot(e + f*x)^4*(a*sin(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^4\,{\left(a\,\sin\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^4*(a*sin(e + f*x))^m, x)","F"
170,0,-1,79,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m*(b*tan(e + f*x))^(3/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^m\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a*sin(e + f*x))^m*(b*tan(e + f*x))^(3/2), x)","F"
171,0,-1,79,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m*(b*tan(e + f*x))^(1/2),x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^m\,\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int((a*sin(e + f*x))^m*(b*tan(e + f*x))^(1/2), x)","F"
172,0,-1,79,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m/(b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^m}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((a*sin(e + f*x))^m/(b*tan(e + f*x))^(1/2), x)","F"
173,0,-1,79,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m/(b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(a\,\sin\left(e+f\,x\right)\right)}^m}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((a*sin(e + f*x))^m/(b*tan(e + f*x))^(3/2), x)","F"
174,0,-1,83,0.000000,"\text{Not used}","int((a*sin(e + f*x))^m*(b*tan(e + f*x))^n,x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^m\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a*sin(e + f*x))^m*(b*tan(e + f*x))^n, x)","F"
175,0,-1,50,0.000000,"\text{Not used}","int(sin(e + f*x)^4*(b*tan(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^4\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^4*(b*tan(e + f*x))^n, x)","F"
176,0,-1,50,0.000000,"\text{Not used}","int(sin(e + f*x)^2*(b*tan(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^2\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^2*(b*tan(e + f*x))^n, x)","F"
177,1,53,25,2.615236,"\text{Not used}","int((b*tan(e + f*x))^n/sin(e + f*x)^2,x)","-\frac{\sin\left(2\,e+2\,f\,x\right)\,{\left(\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{2\,{\cos\left(e+f\,x\right)}^2}\right)}^n}{2\,f\,\left({\cos\left(e+f\,x\right)}^2-1\right)\,\left(n-1\right)}","Not used",1,"-(sin(2*e + 2*f*x)*((b*sin(2*e + 2*f*x))/(2*cos(e + f*x)^2))^n)/(2*f*(cos(e + f*x)^2 - 1)*(n - 1))","B"
178,1,138,53,3.735673,"\text{Not used}","int((b*tan(e + f*x))^n/sin(e + f*x)^4,x)","-\frac{2\,{\left(-\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{2\,{\sin\left(e+f\,x\right)}^2-2}\right)}^n\,\left(9\,\sin\left(2\,e+2\,f\,x\right)-6\,\sin\left(4\,e+4\,f\,x\right)+\sin\left(6\,e+6\,f\,x\right)-4\,n\,\sin\left(2\,e+2\,f\,x\right)+2\,n\,\sin\left(4\,e+4\,f\,x\right)\right)}{f\,\left(30\,{\sin\left(e+f\,x\right)}^2-12\,{\sin\left(2\,e+2\,f\,x\right)}^2+2\,{\sin\left(3\,e+3\,f\,x\right)}^2\right)\,\left(n^2-4\,n+3\right)}","Not used",1,"-(2*(-(b*sin(2*e + 2*f*x))/(2*sin(e + f*x)^2 - 2))^n*(9*sin(2*e + 2*f*x) - 6*sin(4*e + 4*f*x) + sin(6*e + 6*f*x) - 4*n*sin(2*e + 2*f*x) + 2*n*sin(4*e + 4*f*x)))/(f*(2*sin(3*e + 3*f*x)^2 - 12*sin(2*e + 2*f*x)^2 + 30*sin(e + f*x)^2)*(n^2 - 4*n + 3))","B"
179,0,-1,80,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n/sin(e + f*x)^6,x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\sin\left(e+f\,x\right)}^6} \,d x","Not used",1,"int((b*tan(e + f*x))^n/sin(e + f*x)^6, x)","F"
180,0,-1,78,0.000000,"\text{Not used}","int(sin(e + f*x)^3*(b*tan(e + f*x))^n,x)","\int {\sin\left(e+f\,x\right)}^3\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int(sin(e + f*x)^3*(b*tan(e + f*x))^n, x)","F"
181,0,-1,76,0.000000,"\text{Not used}","int(sin(e + f*x)*(b*tan(e + f*x))^n,x)","\int \sin\left(e+f\,x\right)\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int(sin(e + f*x)*(b*tan(e + f*x))^n, x)","F"
182,0,-1,78,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n/sin(e + f*x),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{\sin\left(e+f\,x\right)} \,d x","Not used",1,"int((b*tan(e + f*x))^n/sin(e + f*x), x)","F"
183,0,-1,78,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n/sin(e + f*x)^3,x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\sin\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((b*tan(e + f*x))^n/sin(e + f*x)^3, x)","F"
184,0,-1,78,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n/sin(e + f*x)^5,x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\sin\left(e+f\,x\right)}^5} \,d x","Not used",1,"int((b*tan(e + f*x))^n/sin(e + f*x)^5, x)","F"
185,0,-1,89,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^n,x)","\int {\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a*sin(e + f*x))^(3/2)*(b*tan(e + f*x))^n, x)","F"
186,0,-1,89,0.000000,"\text{Not used}","int((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^n,x)","\int \sqrt{a\,\sin\left(e+f\,x\right)}\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a*sin(e + f*x))^(1/2)*(b*tan(e + f*x))^n, x)","F"
187,0,-1,89,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n/(a*sin(e + f*x))^(1/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{\sqrt{a\,\sin\left(e+f\,x\right)}} \,d x","Not used",1,"int((b*tan(e + f*x))^n/(a*sin(e + f*x))^(1/2), x)","F"
188,0,-1,89,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n/(a*sin(e + f*x))^(3/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n}{{\left(a\,\sin\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^n/(a*sin(e + f*x))^(3/2), x)","F"
189,0,-1,86,0.000000,"\text{Not used}","int((a*cos(e + f*x))^m*(b*tan(e + f*x))^n,x)","\int {\left(a\,\cos\left(e+f\,x\right)\right)}^m\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a*cos(e + f*x))^m*(b*tan(e + f*x))^n, x)","F"
190,0,-1,63,0.000000,"\text{Not used}","int((a*tan(e + f*x))^m*(b*tan(e + f*x))^n,x)","\int {\left(a\,\mathrm{tan}\left(e+f\,x\right)\right)}^m\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a*tan(e + f*x))^m*(b*tan(e + f*x))^n, x)","F"
191,1,97,232,2.583409,"\text{Not used}","int(tan(e + f*x)^4*(d*cot(e + f*x))^(1/2),x)","\frac{\frac{2\,d^3}{5}-\frac{2\,d^3}{{\mathrm{tan}\left(e+f\,x\right)}^2}}{f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{5/2}}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}","Not used",1,"((2*d^3)/5 - (2*d^3)/tan(e + f*x)^2)/(f*(d/tan(e + f*x))^(5/2)) - ((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f + ((-1)^(1/4)*d^(1/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
192,1,83,214,2.472404,"\text{Not used}","int(tan(e + f*x)^3*(d*cot(e + f*x))^(1/2),x)","\frac{2\,d^2}{3\,f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"(2*d^2)/(3*f*(d/tan(e + f*x))^(3/2)) - ((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f - ((-1)^(1/4)*d^(1/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f","B"
193,1,80,210,2.476491,"\text{Not used}","int(tan(e + f*x)^2*(d*cot(e + f*x))^(1/2),x)","\frac{2\,d}{f\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}+\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}","Not used",1,"(2*d)/(f*(d/tan(e + f*x))^(1/2)) + ((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f - ((-1)^(1/4)*d^(1/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
194,1,61,192,0.212661,"\text{Not used}","int(tan(e + f*x)*(d*cot(e + f*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}+\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f + ((-1)^(1/4)*d^(1/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f","B"
195,1,50,192,2.552198,"\text{Not used}","int((d*cot(e + f*x))^(1/2),x)","-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\left(\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)-\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\right)}{f}","Not used",1,"-((-1)^(1/4)*d^(1/2)*(atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)) - atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))))/f","B"
196,1,74,209,2.570007,"\text{Not used}","int(cot(e + f*x)*(d*cot(e + f*x))^(1/2),x)","-\frac{2\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{f}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"- (2*(d*cot(e + f*x))^(1/2))/f - ((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/f - ((-1)^(1/4)*d^(1/2)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/f","B"
197,1,76,214,2.597342,"\text{Not used}","int(cot(e + f*x)^2*(d*cot(e + f*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}-\frac{2\,{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^{3/2}}{3\,d\,f}-\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}","Not used",1,"((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/f - (2*(d*cot(e + f*x))^(3/2))/(3*d*f) - ((-1)^(1/4)*d^(1/2)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/f","B"
198,1,90,231,2.873890,"\text{Not used}","int(cot(e + f*x)^3*(d*cot(e + f*x))^(1/2),x)","\frac{2\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{f}-\frac{2\,{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^{5/2}}{5\,d^2\,f}+\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}+\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)}{f}","Not used",1,"(2*(d*cot(e + f*x))^(1/2))/f - (2*(d*cot(e + f*x))^(5/2))/(5*d^2*f) + ((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/f + ((-1)^(1/4)*d^(1/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2)*1i)/d^(1/2)))/f","B"
199,1,97,234,2.578710,"\text{Not used}","int(tan(e + f*x)^5*(d*cot(e + f*x))^(3/2),x)","\frac{\frac{2\,d^4}{5}-\frac{2\,d^4}{{\mathrm{tan}\left(e+f\,x\right)}^2}}{f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{5/2}}-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}","Not used",1,"((2*d^4)/5 - (2*d^4)/tan(e + f*x)^2)/(f*(d/tan(e + f*x))^(5/2)) - ((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f + ((-1)^(1/4)*d^(3/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
200,1,83,214,2.518290,"\text{Not used}","int(tan(e + f*x)^4*(d*cot(e + f*x))^(3/2),x)","\frac{2\,d^3}{3\,f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"(2*d^3)/(3*f*(d/tan(e + f*x))^(3/2)) - ((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f - ((-1)^(1/4)*d^(3/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f","B"
201,1,82,212,2.488404,"\text{Not used}","int(tan(e + f*x)^3*(d*cot(e + f*x))^(3/2),x)","\frac{2\,d^2}{f\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}+\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{f}","Not used",1,"(2*d^2)/(f*(d/tan(e + f*x))^(1/2)) + ((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f - ((-1)^(1/4)*d^(3/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
202,1,61,192,2.499353,"\text{Not used}","int(tan(e + f*x)^2*(d*cot(e + f*x))^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}+\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f + ((-1)^(1/4)*d^(3/2)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/f","B"
203,1,54,192,2.528427,"\text{Not used}","int(tan(e + f*x)*(d*cot(e + f*x))^(3/2),x)","-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\left(\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)-\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\right)}{f}","Not used",1,"-((-1)^(1/4)*d^(3/2)*(atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)) - atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))))/f","B"
204,1,75,210,2.653157,"\text{Not used}","int((d*cot(e + f*x))^(3/2),x)","-\frac{2\,d\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{f}-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}","Not used",1,"- (2*d*(d*cot(e + f*x))^(1/2))/f - ((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/f - ((-1)^(1/4)*d^(3/2)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/f","B"
205,1,73,211,2.633591,"\text{Not used}","int(cot(e + f*x)*(d*cot(e + f*x))^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}-\frac{2\,{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}-\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}","Not used",1,"((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/f - (2*(d*cot(e + f*x))^(3/2))/(3*f) - ((-1)^(1/4)*d^(3/2)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/f","B"
206,1,91,232,2.938121,"\text{Not used}","int(cot(e + f*x)^2*(d*cot(e + f*x))^(3/2),x)","\frac{2\,d\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{f}-\frac{2\,{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^{5/2}}{5\,d\,f}+\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{f}+\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)}{f}","Not used",1,"(2*d*(d*cot(e + f*x))^(1/2))/f - (2*(d*cot(e + f*x))^(5/2))/(5*d*f) + ((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/f + ((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2)*1i)/d^(1/2)))/f","B"
207,1,97,231,2.572333,"\text{Not used}","int(tan(e + f*x)^3/(d*cot(e + f*x))^(1/2),x)","\frac{\frac{2\,d^2}{5}-\frac{2\,d^2}{{\mathrm{tan}\left(e+f\,x\right)}^2}}{f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{5/2}}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{\sqrt{d}\,f}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{\sqrt{d}\,f}","Not used",1,"((2*d^2)/5 - (2*d^2)/tan(e + f*x)^2)/(f*(d/tan(e + f*x))^(5/2)) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f) + ((-1)^(1/4)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f)","B"
208,1,81,212,2.514044,"\text{Not used}","int(tan(e + f*x)^2/(d*cot(e + f*x))^(1/2),x)","\frac{2\,d}{3\,f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{\sqrt{d}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{\sqrt{d}\,f}","Not used",1,"(2*d)/(3*f*(d/tan(e + f*x))^(3/2)) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(1/2)*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(1/2)*f)","B"
209,1,79,209,0.194478,"\text{Not used}","int(tan(e + f*x)/(d*cot(e + f*x))^(1/2),x)","\frac{2}{f\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{\sqrt{d}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{\sqrt{d}\,f}","Not used",1,"2/(f*(d/tan(e + f*x))^(1/2)) + ((-1)^(1/4)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f)","B"
210,1,57,192,2.649967,"\text{Not used}","int(1/(d*cot(e + f*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{\sqrt{d}\,f}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{\sqrt{d}\,f}","Not used",1,"((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(1/2)*f) + ((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(1/2)*f)","B"
211,1,58,192,2.505139,"\text{Not used}","int(cot(e + f*x)/(d*cot(e + f*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{\sqrt{d}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{\sqrt{d}\,f}","Not used",1,"((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f)","B"
212,1,77,212,2.657140,"\text{Not used}","int(cot(e + f*x)^2/(d*cot(e + f*x))^(1/2),x)","-\frac{2\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{d\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{\sqrt{d}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{\sqrt{d}\,f}","Not used",1,"- (2*(d*cot(e + f*x))^(1/2))/(d*f) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(1/2)*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(1/2)*f)","B"
213,1,76,214,2.667269,"\text{Not used}","int(cot(e + f*x)^3/(d*cot(e + f*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{\sqrt{d}\,f}-\frac{2\,{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^{3/2}}{3\,d^2\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{\sqrt{d}\,f}","Not used",1,"((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f) - (2*(d*cot(e + f*x))^(3/2))/(3*d^2*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(1/2)*f)","B"
214,1,93,232,2.582193,"\text{Not used}","int(tan(e + f*x)^2/(d*cot(e + f*x))^(3/2),x)","\frac{\frac{2\,d}{5}-\frac{2\,d}{{\mathrm{tan}\left(e+f\,x\right)}^2}}{f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{5/2}}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{d^{3/2}\,f}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"((2*d)/5 - (2*d)/tan(e + f*x)^2)/(f*(d/tan(e + f*x))^(5/2)) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f) + ((-1)^(1/4)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f)","B"
215,1,80,211,0.198540,"\text{Not used}","int(tan(e + f*x)/(d*cot(e + f*x))^(3/2),x)","\frac{2}{3\,f\,{\left(\frac{d}{\mathrm{tan}\left(e+f\,x\right)}\right)}^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{d^{3/2}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{\frac{d}{\mathrm{tan}\left(e+f\,x\right)}}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{d^{3/2}\,f}","Not used",1,"2/(3*f*(d/tan(e + f*x))^(3/2)) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(3/2)*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d/tan(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(3/2)*f)","B"
216,1,76,212,2.605235,"\text{Not used}","int(1/(d*cot(e + f*x))^(3/2),x)","\frac{2}{d\,f\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"2/(d*f*(d*cot(e + f*x))^(1/2)) + ((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f)","B"
217,1,57,192,2.581606,"\text{Not used}","int(cot(e + f*x)/(d*cot(e + f*x))^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{d^{3/2}\,f}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{d^{3/2}\,f}","Not used",1,"((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(3/2)*f) + ((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(3/2)*f)","B"
218,1,58,192,2.477903,"\text{Not used}","int(cot(e + f*x)^2/(d*cot(e + f*x))^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f)","B"
219,1,77,212,2.617574,"\text{Not used}","int(cot(e + f*x)^3/(d*cot(e + f*x))^(3/2),x)","-\frac{2\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{d^2\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{d^{3/2}\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{d^{3/2}\,f}","Not used",1,"- (2*(d*cot(e + f*x))^(1/2))/(d^2*f) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(3/2)*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(3/2)*f)","B"
220,1,76,214,2.646837,"\text{Not used}","int(cot(e + f*x)^4/(d*cot(e + f*x))^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}-\frac{2\,{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^{3/2}}{3\,d^3\,f}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f) - (2*(d*cot(e + f*x))^(3/2))/(3*d^3*f) - ((-1)^(1/4)*atanh(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2)))/(d^(3/2)*f)","B"
221,1,93,234,2.977722,"\text{Not used}","int(cot(e + f*x)^5/(d*cot(e + f*x))^(3/2),x)","\frac{2\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{d^2\,f}-\frac{2\,{\left(d\,\mathrm{cot}\left(e+f\,x\right)\right)}^{5/2}}{5\,d^4\,f}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{d^{3/2}\,f}+\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{cot}\left(e+f\,x\right)}\,1{}\mathrm{i}}{\sqrt{d}}\right)}{d^{3/2}\,f}","Not used",1,"(2*(d*cot(e + f*x))^(1/2))/(d^2*f) - (2*(d*cot(e + f*x))^(5/2))/(5*d^4*f) + ((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2))/d^(1/2))*1i)/(d^(3/2)*f) + ((-1)^(1/4)*atan(((-1)^(1/4)*(d*cot(e + f*x))^(1/2)*1i)/d^(1/2)))/(d^(3/2)*f)","B"
222,0,-1,62,0.000000,"\text{Not used}","int(cot(e + f*x)^m*tan(e + f*x)^n,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^m\,{\mathrm{tan}\left(e+f\,x\right)}^n \,d x","Not used",1,"int(cot(e + f*x)^m*tan(e + f*x)^n, x)","F"
223,0,-1,67,0.000000,"\text{Not used}","int(cot(e + f*x)^m*(b*tan(e + f*x))^n,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^m\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int(cot(e + f*x)^m*(b*tan(e + f*x))^n, x)","F"
224,0,-1,64,0.000000,"\text{Not used}","int(tan(e + f*x)^n*(a*cot(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^n\,{\left(a\,\mathrm{cot}\left(e+f\,x\right)\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^n*(a*cot(e + f*x))^m, x)","F"
225,0,-1,69,0.000000,"\text{Not used}","int((a*cot(e + f*x))^m*(b*tan(e + f*x))^n,x)","\int {\left(a\,\mathrm{cot}\left(e+f\,x\right)\right)}^m\,{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n \,d x","Not used",1,"int((a*cot(e + f*x))^m*(b*tan(e + f*x))^n, x)","F"
226,1,334,67,7.242368,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/cos(e + f*x)^6,x)","-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{231\,f}-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{231\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{77\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,768{}\mathrm{i}}{77\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,160{}\mathrm{i}}{11\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{11\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*768i)/(77*f*(exp(e*2i + f*x*2i) + 1)^3) - ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*64i)/(231*f*(exp(e*2i + f*x*2i) + 1)) - ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*32i)/(77*f*(exp(e*2i + f*x*2i) + 1)^2) - ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*64i)/(231*f) - ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*160i)/(11*f*(exp(e*2i + f*x*2i) + 1)^4) + ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*64i)/(11*f*(exp(e*2i + f*x*2i) + 1)^5)","B"
227,1,218,45,6.090840,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/cos(e + f*x)^4,x)","-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,8{}\mathrm{i}}{21\,f}-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,8{}\mathrm{i}}{21\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,24{}\mathrm{i}}{7\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*24i)/(7*f*(exp(e*2i + f*x*2i) + 1)^2) - ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*8i)/(21*f*(exp(e*2i + f*x*2i) + 1)) - ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*8i)/(21*f) - ((-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*16i)/(7*f*(exp(e*2i + f*x*2i) + 1)^3)","B"
228,1,53,22,2.567354,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/cos(e + f*x)^2,x)","\frac{2\,\sin\left(2\,e+2\,f\,x\right)\,\sqrt{\frac{d\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{3\,f\,\left(\cos\left(2\,e+2\,f\,x\right)+1\right)}","Not used",1,"(2*sin(2*e + 2*f*x)*((d*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(3*f*(cos(2*e + 2*f*x) + 1))","B"
229,1,49,192,2.499254,"\text{Not used}","int((d*tan(e + f*x))^(1/2),x)","\frac{{\left(-1\right)}^{1/4}\,\sqrt{d}\,\left(\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)-\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)\right)}{f}","Not used",1,"((-1)^(1/4)*d^(1/2)*(atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)) - atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2))))/f","B"
230,0,-1,227,0.000000,"\text{Not used}","int(cos(e + f*x)^2*(d*tan(e + f*x))^(1/2),x)","\int {\cos\left(e+f\,x\right)}^2\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int(cos(e + f*x)^2*(d*tan(e + f*x))^(1/2), x)","F"
231,0,-1,107,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/cos(e + f*x)^3,x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{{\cos\left(e+f\,x\right)}^3} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)/cos(e + f*x)^3, x)","F"
232,0,-1,75,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/cos(e + f*x),x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\cos\left(e+f\,x\right)} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)/cos(e + f*x), x)","F"
233,0,-1,47,0.000000,"\text{Not used}","int(cos(e + f*x)*(d*tan(e + f*x))^(1/2),x)","\int \cos\left(e+f\,x\right)\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int(cos(e + f*x)*(d*tan(e + f*x))^(1/2), x)","F"
234,0,-1,81,0.000000,"\text{Not used}","int(cos(e + f*x)^3*(d*tan(e + f*x))^(1/2),x)","\int {\cos\left(e+f\,x\right)}^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int(cos(e + f*x)^3*(d*tan(e + f*x))^(1/2), x)","F"
235,0,-1,111,0.000000,"\text{Not used}","int(cos(e + f*x)^5*(d*tan(e + f*x))^(1/2),x)","\int {\cos\left(e+f\,x\right)}^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)} \,d x","Not used",1,"int(cos(e + f*x)^5*(d*tan(e + f*x))^(1/2), x)","F"
236,1,392,67,9.188405,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/cos(a + b*x)^6,x)","-\frac{64\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{585\,b}-\frac{64\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{585\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}-\frac{32\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{195\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{1216\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{117\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{3488\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{117\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{384\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{13\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^5}-\frac{128\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{13\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^6}","Not used",1,"(1216*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(117*b*(exp(a*2i + b*x*2i) + 1)^3) - (64*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(585*b*(exp(a*2i + b*x*2i) + 1)) - (32*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(195*b*(exp(a*2i + b*x*2i) + 1)^2) - (64*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(585*b) - (3488*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(117*b*(exp(a*2i + b*x*2i) + 1)^4) + (384*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(13*b*(exp(a*2i + b*x*2i) + 1)^5) - (128*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(13*b*(exp(a*2i + b*x*2i) + 1)^6)","B"
237,1,276,45,6.944795,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/cos(a + b*x)^4,x)","-\frac{8\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{45\,b}-\frac{8\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{45\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}+\frac{56\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{15\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{64\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{32\,d\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^4}","Not used",1,"(56*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(15*b*(exp(a*2i + b*x*2i) + 1)^2) - (8*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(45*b*(exp(a*2i + b*x*2i) + 1)) - (8*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(45*b) - (64*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(9*b*(exp(a*2i + b*x*2i) + 1)^3) + (32*d*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(9*b*(exp(a*2i + b*x*2i) + 1)^4)","B"
238,1,100,22,3.568284,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/cos(a + b*x)^2,x)","\frac{2\,d\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}\,\left(\cos\left(2\,a+2\,b\,x\right)-2\,\cos\left(4\,a+4\,b\,x\right)-\cos\left(6\,a+6\,b\,x\right)+2\right)}{5\,b\,\left(15\,\cos\left(2\,a+2\,b\,x\right)+6\,\cos\left(4\,a+4\,b\,x\right)+\cos\left(6\,a+6\,b\,x\right)+10\right)}","Not used",1,"(2*d*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2)*(cos(2*a + 2*b*x) - 2*cos(4*a + 4*b*x) - cos(6*a + 6*b*x) + 2))/(5*b*(15*cos(2*a + 2*b*x) + 6*cos(4*a + 4*b*x) + cos(6*a + 6*b*x) + 10))","B"
239,1,73,210,2.653782,"\text{Not used}","int((d*tan(a + b*x))^(3/2),x)","\frac{2\,d\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{b}+\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{b}+\frac{{\left(-1\right)}^{1/4}\,d^{3/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{\sqrt{d}}\right)\,1{}\mathrm{i}}{b}","Not used",1,"(2*d*(d*tan(a + b*x))^(1/2))/b + ((-1)^(1/4)*d^(3/2)*atan(((-1)^(1/4)*(d*tan(a + b*x))^(1/2))/d^(1/2))*1i)/b + ((-1)^(1/4)*d^(3/2)*atanh(((-1)^(1/4)*(d*tan(a + b*x))^(1/2))/d^(1/2))*1i)/b","B"
240,0,-1,225,0.000000,"\text{Not used}","int(cos(a + b*x)^2*(d*tan(a + b*x))^(3/2),x)","\int {\cos\left(a+b\,x\right)}^2\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cos(a + b*x)^2*(d*tan(a + b*x))^(3/2), x)","F"
241,0,-1,136,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/cos(a + b*x)^5,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}}{{\cos\left(a+b\,x\right)}^5} \,d x","Not used",1,"int((d*tan(a + b*x))^(3/2)/cos(a + b*x)^5, x)","F"
242,0,-1,108,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/cos(a + b*x)^3,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}}{{\cos\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*tan(a + b*x))^(3/2)/cos(a + b*x)^3, x)","F"
243,0,-1,80,0.000000,"\text{Not used}","int((d*tan(a + b*x))^(3/2)/cos(a + b*x),x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}}{\cos\left(a+b\,x\right)} \,d x","Not used",1,"int((d*tan(a + b*x))^(3/2)/cos(a + b*x), x)","F"
244,0,-1,78,0.000000,"\text{Not used}","int(cos(a + b*x)*(d*tan(a + b*x))^(3/2),x)","\int \cos\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cos(a + b*x)*(d*tan(a + b*x))^(3/2), x)","F"
245,0,-1,108,0.000000,"\text{Not used}","int(cos(a + b*x)^3*(d*tan(a + b*x))^(3/2),x)","\int {\cos\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cos(a + b*x)^3*(d*tan(a + b*x))^(3/2), x)","F"
246,0,-1,136,0.000000,"\text{Not used}","int(cos(a + b*x)^5*(d*tan(a + b*x))^(3/2),x)","\int {\cos\left(a+b\,x\right)}^5\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2} \,d x","Not used",1,"int(cos(a + b*x)^5*(d*tan(a + b*x))^(3/2), x)","F"
247,1,474,67,13.292329,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/cos(e + f*x)^6,x)","\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{1155\,f}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{1155\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,32{}\mathrm{i}}{385\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,2432{}\mathrm{i}}{231\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,1504{}\mathrm{i}}{33\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}-\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,4288{}\mathrm{i}}{55\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,896{}\mathrm{i}}{15\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^6}-\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,256{}\mathrm{i}}{15\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^7}","Not used",1,"(d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*64i)/(1155*f) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*64i)/(1155*f*(exp(e*2i + f*x*2i) + 1)) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*32i)/(385*f*(exp(e*2i + f*x*2i) + 1)^2) - (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*2432i)/(231*f*(exp(e*2i + f*x*2i) + 1)^3) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*1504i)/(33*f*(exp(e*2i + f*x*2i) + 1)^4) - (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*4288i)/(55*f*(exp(e*2i + f*x*2i) + 1)^5) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*896i)/(15*f*(exp(e*2i + f*x*2i) + 1)^6) - (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*256i)/(15*f*(exp(e*2i + f*x*2i) + 1)^7)","B"
248,1,352,45,7.223520,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/cos(e + f*x)^4,x)","\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,8{}\mathrm{i}}{77\,f}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,8{}\mathrm{i}}{77\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}-\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,296{}\mathrm{i}}{77\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,944{}\mathrm{i}}{77\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}-\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,160{}\mathrm{i}}{11\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^4}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,64{}\mathrm{i}}{11\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^5}","Not used",1,"(d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*8i)/(77*f) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*8i)/(77*f*(exp(e*2i + f*x*2i) + 1)) - (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*296i)/(77*f*(exp(e*2i + f*x*2i) + 1)^2) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*944i)/(77*f*(exp(e*2i + f*x*2i) + 1)^3) - (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*160i)/(11*f*(exp(e*2i + f*x*2i) + 1)^4) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*64i)/(11*f*(exp(e*2i + f*x*2i) + 1)^5)","B"
249,1,230,22,5.584015,"\text{Not used}","int((d*tan(e + f*x))^(5/2)/cos(e + f*x)^2,x)","\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,2{}\mathrm{i}}{7\,f}-\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,12{}\mathrm{i}}{7\,f\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}+\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,24{}\mathrm{i}}{7\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{d^2\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,f\,{\left({\mathrm{e}}^{e\,2{}\mathrm{i}+f\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*2i)/(7*f) - (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*12i)/(7*f*(exp(e*2i + f*x*2i) + 1)) + (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*24i)/(7*f*(exp(e*2i + f*x*2i) + 1)^2) - (d^2*(-(d*(exp(e*2i + f*x*2i)*1i - 1i))/(exp(e*2i + f*x*2i) + 1))^(1/2)*16i)/(7*f*(exp(e*2i + f*x*2i) + 1)^3)","B"
250,1,74,212,2.735063,"\text{Not used}","int((d*tan(e + f*x))^(5/2),x)","\frac{2\,d\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{3\,f}-\frac{{\left(-1\right)}^{1/4}\,d^{5/2}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}+\frac{{\left(-1\right)}^{1/4}\,d^{5/2}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{d}}\right)}{f}","Not used",1,"(2*d*(d*tan(e + f*x))^(3/2))/(3*f) - ((-1)^(1/4)*d^(5/2)*atan(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f + ((-1)^(1/4)*d^(5/2)*atanh(((-1)^(1/4)*(d*tan(e + f*x))^(1/2))/d^(1/2)))/f","B"
251,0,-1,225,0.000000,"\text{Not used}","int(cos(e + f*x)^2*(d*tan(e + f*x))^(5/2),x)","\int {\cos\left(e+f\,x\right)}^2\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cos(e + f*x)^2*(d*tan(e + f*x))^(5/2), x)","F"
252,0,-1,253,0.000000,"\text{Not used}","int(cos(e + f*x)^4*(d*tan(e + f*x))^(5/2),x)","\int {\cos\left(e+f\,x\right)}^4\,{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2} \,d x","Not used",1,"int(cos(e + f*x)^4*(d*tan(e + f*x))^(5/2), x)","F"
253,0,-1,109,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^5*(d*tan(e + f*x))^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^5\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/(cos(e + f*x)^5*(d*tan(e + f*x))^(1/2)), x)","F"
254,0,-1,79,0.000000,"\text{Not used}","int(1/(cos(e + f*x)^3*(d*tan(e + f*x))^(1/2)),x)","\int \frac{1}{{\cos\left(e+f\,x\right)}^3\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/(cos(e + f*x)^3*(d*tan(e + f*x))^(1/2)), x)","F"
255,0,-1,47,0.000000,"\text{Not used}","int(1/(cos(e + f*x)*(d*tan(e + f*x))^(1/2)),x)","\int \frac{1}{\cos\left(e+f\,x\right)\,\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(1/(cos(e + f*x)*(d*tan(e + f*x))^(1/2)), x)","F"
256,0,-1,76,0.000000,"\text{Not used}","int(cos(e + f*x)/(d*tan(e + f*x))^(1/2),x)","\int \frac{\cos\left(e+f\,x\right)}{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(cos(e + f*x)/(d*tan(e + f*x))^(1/2), x)","F"
257,0,-1,109,0.000000,"\text{Not used}","int(cos(e + f*x)^3/(d*tan(e + f*x))^(1/2),x)","\int \frac{{\cos\left(e+f\,x\right)}^3}{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int(cos(e + f*x)^3/(d*tan(e + f*x))^(1/2), x)","F"
258,1,268,65,6.878400,"\text{Not used}","int(1/(cos(a + b*x)^6*(d*tan(a + b*x))^(3/2)),x)","-\frac{\left(\frac{20{}\mathrm{i}}{21\,b\,d^2}+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,64{}\mathrm{i}}{21\,b\,d^2}\right)\,\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1}+\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,20{}\mathrm{i}}{21\,b\,d^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}+\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,24{}\mathrm{i}}{7\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2}-\frac{\sqrt{-\frac{d\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1}}\,16{}\mathrm{i}}{7\,b\,d^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"((-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*20i)/(21*b*d^2*(exp(a*2i + b*x*2i) + 1)) - ((20i/(21*b*d^2) + (exp(a*2i + b*x*2i)*64i)/(21*b*d^2))*(-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2))/(exp(a*2i + b*x*2i) - 1) + ((-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*24i)/(7*b*d^2*(exp(a*2i + b*x*2i) + 1)^2) - ((-(d*(exp(a*2i + b*x*2i)*1i - 1i))/(exp(a*2i + b*x*2i) + 1))^(1/2)*16i)/(7*b*d^2*(exp(a*2i + b*x*2i) + 1)^3)","B"
259,1,64,43,2.970678,"\text{Not used}","int(1/(cos(a + b*x)^4*(d*tan(a + b*x))^(3/2)),x)","-\frac{4\,\left(\sin\left(2\,a+2\,b\,x\right)+\sin\left(4\,a+4\,b\,x\right)\right)\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}}{3\,b\,d^2\,{\sin\left(2\,a+2\,b\,x\right)}^2}","Not used",1,"-(4*(sin(2*a + 2*b*x) + sin(4*a + 4*b*x))*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2))/(3*b*d^2*sin(2*a + 2*b*x)^2)","B"
260,1,51,20,2.573382,"\text{Not used}","int(1/(cos(a + b*x)^2*(d*tan(a + b*x))^(3/2)),x)","-\frac{\sin\left(2\,a+2\,b\,x\right)\,\sqrt{\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{\cos\left(2\,a+2\,b\,x\right)+1}}}{b\,d^2\,{\sin\left(a+b\,x\right)}^2}","Not used",1,"-(sin(2*a + 2*b*x)*((d*sin(2*a + 2*b*x))/(cos(2*a + 2*b*x) + 1))^(1/2))/(b*d^2*sin(a + b*x)^2)","B"
261,1,76,212,2.685164,"\text{Not used}","int(1/(d*tan(a + b*x))^(3/2),x)","\frac{{\left(-1\right)}^{1/4}\,\mathrm{atanh}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{\sqrt{d}}\right)}{b\,d^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{1/4}\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}{\sqrt{d}}\right)}{b\,d^{3/2}}-\frac{2}{b\,d\,\sqrt{d\,\mathrm{tan}\left(a+b\,x\right)}}","Not used",1,"((-1)^(1/4)*atanh(((-1)^(1/4)*(d*tan(a + b*x))^(1/2))/d^(1/2)))/(b*d^(3/2)) - ((-1)^(1/4)*atan(((-1)^(1/4)*(d*tan(a + b*x))^(1/2))/d^(1/2)))/(b*d^(3/2)) - 2/(b*d*(d*tan(a + b*x))^(1/2))","B"
262,0,-1,249,0.000000,"\text{Not used}","int(cos(a + b*x)^2/(d*tan(a + b*x))^(3/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^2}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(cos(a + b*x)^2/(d*tan(a + b*x))^(3/2), x)","F"
263,0,-1,138,0.000000,"\text{Not used}","int(1/(cos(a + b*x)^5*(d*tan(a + b*x))^(3/2)),x)","\int \frac{1}{{\cos\left(a+b\,x\right)}^5\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(a + b*x)^5*(d*tan(a + b*x))^(3/2)), x)","F"
264,0,-1,104,0.000000,"\text{Not used}","int(1/(cos(a + b*x)^3*(d*tan(a + b*x))^(3/2)),x)","\int \frac{1}{{\cos\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(a + b*x)^3*(d*tan(a + b*x))^(3/2)), x)","F"
265,0,-1,78,0.000000,"\text{Not used}","int(1/(cos(a + b*x)*(d*tan(a + b*x))^(3/2)),x)","\int \frac{1}{\cos\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(cos(a + b*x)*(d*tan(a + b*x))^(3/2)), x)","F"
266,0,-1,78,0.000000,"\text{Not used}","int(cos(a + b*x)/(d*tan(a + b*x))^(3/2),x)","\int \frac{\cos\left(a+b\,x\right)}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(cos(a + b*x)/(d*tan(a + b*x))^(3/2), x)","F"
267,0,-1,112,0.000000,"\text{Not used}","int(cos(a + b*x)^3/(d*tan(a + b*x))^(3/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^3}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(cos(a + b*x)^3/(d*tan(a + b*x))^(3/2), x)","F"
268,0,-1,142,0.000000,"\text{Not used}","int(cos(a + b*x)^5/(d*tan(a + b*x))^(3/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^5}{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(cos(a + b*x)^5/(d*tan(a + b*x))^(3/2), x)","F"
269,0,-1,82,0.000000,"\text{Not used}","int(1/(cos(a + b*x)*(d*tan(a + b*x))^(5/2)),x)","\int \frac{1}{\cos\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(cos(a + b*x)*(d*tan(a + b*x))^(5/2)), x)","F"
270,0,-1,110,0.000000,"\text{Not used}","int(1/(cos(a + b*x)^3*(d*tan(a + b*x))^(7/2)),x)","\int \frac{1}{{\cos\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(cos(a + b*x)^3*(d*tan(a + b*x))^(7/2)), x)","F"
271,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(1/cos(e + f*x))^(4/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int(tan(e + f*x)^2*(1/cos(e + f*x))^(4/3), x)","F"
272,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(1/cos(e + f*x))^(2/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{2/3} \,d x","Not used",1,"int(tan(e + f*x)^2*(1/cos(e + f*x))^(2/3), x)","F"
273,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(1/cos(e + f*x))^(1/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int(tan(e + f*x)^2*(1/cos(e + f*x))^(1/3), x)","F"
274,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^2/(1/cos(e + f*x))^(1/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int(tan(e + f*x)^2/(1/cos(e + f*x))^(1/3), x)","F"
275,0,-1,51,0.000000,"\text{Not used}","int(tan(e + f*x)^2/(1/cos(e + f*x))^(2/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{2/3}} \,d x","Not used",1,"int(tan(e + f*x)^2/(1/cos(e + f*x))^(2/3), x)","F"
276,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(1/cos(e + f*x))^(4/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int(tan(e + f*x)^4*(1/cos(e + f*x))^(4/3), x)","F"
277,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(1/cos(e + f*x))^(2/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{2/3} \,d x","Not used",1,"int(tan(e + f*x)^4*(1/cos(e + f*x))^(2/3), x)","F"
278,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(1/cos(e + f*x))^(1/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int(tan(e + f*x)^4*(1/cos(e + f*x))^(1/3), x)","F"
279,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^4/(1/cos(e + f*x))^(1/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^4}{{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int(tan(e + f*x)^4/(1/cos(e + f*x))^(1/3), x)","F"
280,0,-1,53,0.000000,"\text{Not used}","int(tan(e + f*x)^4/(1/cos(e + f*x))^(2/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^4}{{\left(\frac{1}{\cos\left(e+f\,x\right)}\right)}^{2/3}} \,d x","Not used",1,"int(tan(e + f*x)^4/(1/cos(e + f*x))^(2/3), x)","F"
281,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(d/cos(e + f*x))^(4/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int(tan(e + f*x)^2*(d/cos(e + f*x))^(4/3), x)","F"
282,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(d/cos(e + f*x))^(2/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3} \,d x","Not used",1,"int(tan(e + f*x)^2*(d/cos(e + f*x))^(2/3), x)","F"
283,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(d/cos(e + f*x))^(1/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int(tan(e + f*x)^2*(d/cos(e + f*x))^(1/3), x)","F"
284,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^2/(d/cos(e + f*x))^(1/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int(tan(e + f*x)^2/(d/cos(e + f*x))^(1/3), x)","F"
285,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^2/(d/cos(e + f*x))^(2/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^2}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}} \,d x","Not used",1,"int(tan(e + f*x)^2/(d/cos(e + f*x))^(2/3), x)","F"
286,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(d/cos(e + f*x))^(4/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int(tan(e + f*x)^4*(d/cos(e + f*x))^(4/3), x)","F"
287,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(d/cos(e + f*x))^(2/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3} \,d x","Not used",1,"int(tan(e + f*x)^4*(d/cos(e + f*x))^(2/3), x)","F"
288,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(d/cos(e + f*x))^(1/3),x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int(tan(e + f*x)^4*(d/cos(e + f*x))^(1/3), x)","F"
289,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^4/(d/cos(e + f*x))^(1/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^4}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int(tan(e + f*x)^4/(d/cos(e + f*x))^(1/3), x)","F"
290,0,-1,57,0.000000,"\text{Not used}","int(tan(e + f*x)^4/(d/cos(e + f*x))^(2/3),x)","\int \frac{{\mathrm{tan}\left(e+f\,x\right)}^4}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{2/3}} \,d x","Not used",1,"int(tan(e + f*x)^4/(d/cos(e + f*x))^(2/3), x)","F"
291,0,-1,178,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(5/2),x)","\int \sqrt{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((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(5/2), x)","F"
292,0,-1,93,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(3/2),x)","\int \sqrt{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((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(3/2), x)","F"
293,0,-1,132,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(1/2),x)","\int \sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(1/2), x)","F"
294,0,-1,55,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(1/2),x)","\int \frac{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(1/2), x)","F"
295,1,55,34,3.482594,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(3/2),x)","\frac{\sin\left(2\,e+2\,f\,x\right)\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{3\,d^2\,f}","Not used",1,"(sin(2*e + 2*f*x)*(d/cos(e + f*x))^(1/2)*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(3*d^2*f)","B"
296,0,-1,95,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(5/2),x)","\int \frac{\sqrt{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((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(5/2), x)","F"
297,1,69,72,3.354596,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(7/2),x)","\frac{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,\left(22\,\sin\left(2\,e+2\,f\,x\right)+3\,\sin\left(4\,e+4\,f\,x\right)\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{84\,d^4\,f}","Not used",1,"((d/cos(e + f*x))^(1/2)*(22*sin(2*e + 2*f*x) + 3*sin(4*e + 4*f*x))*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(84*d^4*f)","B"
298,0,-1,132,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(9/2),x)","\int \frac{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(1/2)/(d/cos(e + f*x))^(9/2), x)","F"
299,0,-1,131,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(5/2),x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(5/2), x)","F"
300,0,-1,169,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(3/2),x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(3/2), x)","F"
301,0,-1,88,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(1/2),x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(1/2), x)","F"
302,0,-1,167,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(1/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(1/2), x)","F"
303,0,-1,96,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(3/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(3/2), x)","F"
304,1,65,34,3.159467,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(5/2),x)","\frac{b\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,\left(\cos\left(e+f\,x\right)-\cos\left(3\,e+3\,f\,x\right)\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{10\,d^3\,f}","Not used",1,"(b*(d/cos(e + f*x))^(1/2)*(cos(e + f*x) - cos(3*e + 3*f*x))*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(10*d^3*f)","B"
305,0,-1,131,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(7/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(7/2), x)","F"
306,1,78,103,3.519431,"\text{Not used}","int((b*tan(e + f*x))^(3/2)/(d/cos(e + f*x))^(9/2),x)","-\frac{b\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}\,\left(21\,\cos\left(3\,e+3\,f\,x\right)-26\,\cos\left(e+f\,x\right)+5\,\cos\left(5\,e+5\,f\,x\right)\right)}{360\,d^5\,f}","Not used",1,"-(b*(d/cos(e + f*x))^(1/2)*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2)*(21*cos(3*e + 3*f*x) - 26*cos(e + f*x) + 5*cos(5*e + 5*f*x)))/(360*d^5*f)","B"
307,0,-1,208,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(5/2),x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2} \,d x","Not used",1,"int((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(5/2), x)","F"
308,0,-1,131,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(3/2),x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(3/2), x)","F"
309,0,-1,169,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(1/2),x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(1/2), x)","F"
310,0,-1,88,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(1/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(1/2), x)","F"
311,0,-1,168,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(3/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(3/2), x)","F"
312,0,-1,96,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(5/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(5/2), x)","F"
313,1,72,34,3.212913,"\text{Not used}","int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(7/2),x)","\frac{b^2\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,\left(2\,\sin\left(2\,e+2\,f\,x\right)-\sin\left(4\,e+4\,f\,x\right)\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}{28\,d^4\,f}","Not used",1,"(b^2*(d/cos(e + f*x))^(1/2)*(2*sin(2*e + 2*f*x) - sin(4*e + 4*f*x))*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))/(28*d^4*f)","B"
314,0,-1,131,0.000000,"\text{Not used}","int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(9/2),x)","\int \frac{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}}{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{9/2}} \,d x","Not used",1,"int((b*tan(e + f*x))^(5/2)/(d/cos(e + f*x))^(9/2), x)","F"
315,0,-1,178,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(7/2)/(b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((d/cos(e + f*x))^(7/2)/(b*tan(e + f*x))^(1/2), x)","F"
316,0,-1,92,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)/(b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)/(b*tan(e + f*x))^(1/2), x)","F"
317,0,-1,131,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)/(b*tan(e + f*x))^(1/2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)/(b*tan(e + f*x))^(1/2), x)","F"
318,0,-1,55,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/2)/(b*tan(e + f*x))^(1/2),x)","\int \frac{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{\sqrt{b\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/2)/(b*tan(e + f*x))^(1/2), x)","F"
319,1,52,32,2.904361,"\text{Not used}","int(1/((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(1/2)),x)","\frac{2\,\sin\left(e+f\,x\right)\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{d\,f\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(2*sin(e + f*x)*(d/cos(e + f*x))^(1/2))/(d*f*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
320,0,-1,95,0.000000,"\text{Not used}","int(1/((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(3/2)),x)","\int \frac{1}{\sqrt{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(1/((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(3/2)), x)","F"
321,1,64,72,3.021835,"\text{Not used}","int(1/((b*tan(e + f*x))^(1/2)*(d/cos(e + f*x))^(5/2)),x)","\frac{\left(17\,\sin\left(e+f\,x\right)+\sin\left(3\,e+3\,f\,x\right)\right)\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{10\,d^3\,f\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"((17*sin(e + f*x) + sin(3*e + 3*f*x))*(d/cos(e + f*x))^(1/2))/(10*d^3*f*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
322,0,-1,171,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)/(b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)/(b*tan(e + f*x))^(3/2), x)","F"
323,0,-1,97,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(3/2)/(b*tan(e + f*x))^(3/2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((d/cos(e + f*x))^(3/2)/(b*tan(e + f*x))^(3/2), x)","F"
324,1,46,32,2.950212,"\text{Not used}","int((d/cos(e + f*x))^(1/2)/(b*tan(e + f*x))^(3/2),x)","-\frac{2\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{b\,f\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-(2*(d/cos(e + f*x))^(1/2))/(b*f*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
325,0,-1,91,0.000000,"\text{Not used}","int(1/((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(1/2)),x)","\int \frac{1}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}} \,d x","Not used",1,"int(1/((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(1/2)), x)","F"
326,1,60,72,3.195513,"\text{Not used}","int(1/((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(3/2)),x)","\frac{\left(\cos\left(2\,e+2\,f\,x\right)-7\right)\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{3\,b\,d^2\,f\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"((cos(2*e + 2*f*x) - 7)*(d/cos(e + f*x))^(1/2))/(3*b*d^2*f*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
327,0,-1,130,0.000000,"\text{Not used}","int(1/((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(5/2)),x)","\int \frac{1}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}} \,d x","Not used",1,"int(1/((b*tan(e + f*x))^(3/2)*(d/cos(e + f*x))^(5/2)), x)","F"
328,0,-1,172,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(7/2)/(b*tan(e + f*x))^(5/2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{7/2}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((d/cos(e + f*x))^(7/2)/(b*tan(e + f*x))^(5/2), x)","F"
329,0,-1,101,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(5/2)/(b*tan(e + f*x))^(5/2),x)","\int \frac{{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{5/2}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((d/cos(e + f*x))^(5/2)/(b*tan(e + f*x))^(5/2), x)","F"
330,1,55,34,3.174361,"\text{Not used}","int((d/cos(e + f*x))^(3/2)/(b*tan(e + f*x))^(5/2),x)","-\frac{2\,d\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{3\,b^2\,f\,\sin\left(e+f\,x\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-(2*d*(d/cos(e + f*x))^(1/2))/(3*b^2*f*sin(e + f*x)*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
331,0,-1,95,0.000000,"\text{Not used}","int((d/cos(e + f*x))^(1/2)/(b*tan(e + f*x))^(5/2),x)","\int \frac{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int((d/cos(e + f*x))^(1/2)/(b*tan(e + f*x))^(5/2), x)","F"
332,1,81,69,3.563372,"\text{Not used}","int(1/((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(1/2)),x)","\frac{\left(\frac{13\,\sin\left(e+f\,x\right)}{3}-\sin\left(3\,e+3\,f\,x\right)\right)\,\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}}{b^2\,d\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-1\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"(((13*sin(e + f*x))/3 - sin(3*e + 3*f*x))*(d/cos(e + f*x))^(1/2))/(b^2*d*f*(cos(2*e + 2*f*x) - 1)*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
333,0,-1,132,0.000000,"\text{Not used}","int(1/((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(3/2)),x)","\int \frac{1}{{\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^{5/2}\,{\left(\frac{d}{\cos\left(e+f\,x\right)}\right)}^{3/2}} \,d x","Not used",1,"int(1/((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(3/2)), x)","F"
334,1,93,106,4.348000,"\text{Not used}","int(1/((b*tan(e + f*x))^(5/2)*(d/cos(e + f*x))^(5/2)),x)","-\frac{\sqrt{\frac{d}{\cos\left(e+f\,x\right)}}\,\left(105\,\sin\left(3\,e+3\,f\,x\right)-410\,\sin\left(e+f\,x\right)+3\,\sin\left(5\,e+5\,f\,x\right)\right)}{60\,b^2\,d^3\,f\,\left(\cos\left(2\,e+2\,f\,x\right)-1\right)\,\sqrt{\frac{b\,\sin\left(2\,e+2\,f\,x\right)}{\cos\left(2\,e+2\,f\,x\right)+1}}}","Not used",1,"-((d/cos(e + f*x))^(1/2)*(105*sin(3*e + 3*f*x) - 410*sin(e + f*x) + 3*sin(5*e + 5*f*x)))/(60*b^2*d^3*f*(cos(2*e + 2*f*x) - 1)*((b*sin(2*e + 2*f*x))/(cos(2*e + 2*f*x) + 1))^(1/2))","B"
335,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(b/cos(e + f*x))^(4/3),x)","\int \sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)*(b/cos(e + f*x))^(4/3), x)","F"
336,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(b/cos(e + f*x))^(1/3),x)","\int \sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)*(b/cos(e + f*x))^(1/3), x)","F"
337,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(b/cos(e + f*x))^(1/3),x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)/(b/cos(e + f*x))^(1/3), x)","F"
338,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)/(b/cos(e + f*x))^(4/3),x)","\int \frac{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{4/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)/(b/cos(e + f*x))^(4/3), x)","F"
339,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(b/cos(e + f*x))^(4/3),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{4/3} \,d x","Not used",1,"int((d*tan(e + f*x))^(3/2)*(b/cos(e + f*x))^(4/3), x)","F"
340,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(b/cos(e + f*x))^(1/3),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{1/3} \,d x","Not used",1,"int((d*tan(e + f*x))^(3/2)*(b/cos(e + f*x))^(1/3), x)","F"
341,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(b/cos(e + f*x))^(1/3),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{1/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(3/2)/(b/cos(e + f*x))^(1/3), x)","F"
342,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(3/2)/(b/cos(e + f*x))^(4/3),x)","\int \frac{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}}{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{4/3}} \,d x","Not used",1,"int((d*tan(e + f*x))^(3/2)/(b/cos(e + f*x))^(4/3), x)","F"
343,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(4/3)*(b/cos(e + f*x))^(1/2),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((d*tan(e + f*x))^(4/3)*(b/cos(e + f*x))^(1/2), x)","F"
344,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/3)*(b/cos(e + f*x))^(1/2),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,\sqrt{\frac{b}{\cos\left(e+f\,x\right)}} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/3)*(b/cos(e + f*x))^(1/2), x)","F"
345,0,-1,64,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(d*tan(e + f*x))^(1/3),x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/(d*tan(e + f*x))^(1/3), x)","F"
346,0,-1,62,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(1/2)/(d*tan(e + f*x))^(4/3),x)","\int \frac{\sqrt{\frac{b}{\cos\left(e+f\,x\right)}}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int((b/cos(e + f*x))^(1/2)/(d*tan(e + f*x))^(4/3), x)","F"
347,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(4/3)*(b/cos(e + f*x))^(3/2),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((d*tan(e + f*x))^(4/3)*(b/cos(e + f*x))^(3/2), x)","F"
348,0,-1,64,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/3)*(b/cos(e + f*x))^(3/2),x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2} \,d x","Not used",1,"int((d*tan(e + f*x))^(1/3)*(b/cos(e + f*x))^(3/2), x)","F"
349,0,-1,64,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(3/2)/(d*tan(e + f*x))^(1/3),x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int((b/cos(e + f*x))^(3/2)/(d*tan(e + f*x))^(1/3), x)","F"
350,0,-1,62,0.000000,"\text{Not used}","int((b/cos(e + f*x))^(3/2)/(d*tan(e + f*x))^(4/3),x)","\int \frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^{3/2}}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int((b/cos(e + f*x))^(3/2)/(d*tan(e + f*x))^(4/3), x)","F"
351,1,199,67,7.807833,"\text{Not used}","int(tan(e + f*x)^5*(b/cos(e + f*x))^m,x)","\frac{\left(\cos\left(4\,e+4\,f\,x\right)-\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}\right)\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m\,\left(\frac{2\,\cos\left(4\,e+4\,f\,x\right)\,\left(\cos\left(4\,e+4\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}\right)}{f\,m}+\frac{\left(\cos\left(4\,e+4\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(6\,m^2+4\,m+48\right)}{f\,m\,\left(m^2+6\,m+8\right)}-\frac{2\,\cos\left(2\,e+2\,f\,x\right)\,\left(\cos\left(4\,e+4\,f\,x\right)+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}\right)\,\left(4\,m^2+8\,m-32\right)}{f\,m\,\left(m^2+6\,m+8\right)}\right)}{16\,{\left(\frac{\cos\left(2\,e+2\,f\,x\right)}{2}+\frac{1}{2}\right)}^2}","Not used",1,"((cos(4*e + 4*f*x) - sin(4*e + 4*f*x)*1i)*(b/cos(e + f*x))^m*((2*cos(4*e + 4*f*x)*(cos(4*e + 4*f*x) + sin(4*e + 4*f*x)*1i))/(f*m) + ((cos(4*e + 4*f*x) + sin(4*e + 4*f*x)*1i)*(4*m + 6*m^2 + 48))/(f*m*(6*m + m^2 + 8)) - (2*cos(2*e + 2*f*x)*(cos(4*e + 4*f*x) + sin(4*e + 4*f*x)*1i)*(8*m + 4*m^2 - 32))/(f*m*(6*m + m^2 + 8))))/(16*(cos(2*e + 2*f*x)/2 + 1/2)^2)","B"
352,1,87,43,3.390001,"\text{Not used}","int(tan(e + f*x)^3*(b/cos(e + f*x))^m,x)","-\frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m\,\left(8\,\cos\left(2\,e+2\,f\,x\right)-m+2\,\cos\left(4\,e+4\,f\,x\right)+m\,\cos\left(4\,e+4\,f\,x\right)+6\right)}{f\,m\,\left(m+2\right)\,\left(4\,\cos\left(2\,e+2\,f\,x\right)+\cos\left(4\,e+4\,f\,x\right)+3\right)}","Not used",1,"-((b/cos(e + f*x))^m*(8*cos(2*e + 2*f*x) - m + 2*cos(4*e + 4*f*x) + m*cos(4*e + 4*f*x) + 6))/(f*m*(m + 2)*(4*cos(2*e + 2*f*x) + cos(4*e + 4*f*x) + 3))","B"
353,1,19,17,0.118048,"\text{Not used}","int(tan(e + f*x)*(b/cos(e + f*x))^m,x)","\frac{{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m}{f\,m}","Not used",1,"(b/cos(e + f*x))^m/(f*m)","B"
354,0,-1,40,0.000000,"\text{Not used}","int(cot(e + f*x)*(b/cos(e + f*x))^m,x)","\int \mathrm{cot}\left(e+f\,x\right)\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)*(b/cos(e + f*x))^m, x)","F"
355,0,-1,39,0.000000,"\text{Not used}","int(cot(e + f*x)^3*(b/cos(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^3\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^3*(b/cos(e + f*x))^m, x)","F"
356,0,-1,40,0.000000,"\text{Not used}","int(cot(e + f*x)^5*(b/cos(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^5\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^5*(b/cos(e + f*x))^m, x)","F"
357,0,-1,63,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(b/cos(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^4*(b/cos(e + f*x))^m, x)","F"
358,0,-1,63,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(b/cos(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^2*(b/cos(e + f*x))^m, x)","F"
359,0,-1,59,0.000000,"\text{Not used}","int(cot(e + f*x)^2*(b/cos(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^2\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^2*(b/cos(e + f*x))^m, x)","F"
360,0,-1,63,0.000000,"\text{Not used}","int(cot(e + f*x)^4*(b/cos(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^4\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^4*(b/cos(e + f*x))^m, x)","F"
361,0,-1,63,0.000000,"\text{Not used}","int(cot(e + f*x)^6*(b/cos(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^6\,{\left(\frac{b}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^6*(b/cos(e + f*x))^m, x)","F"
362,0,-1,82,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n*(a/cos(e + f*x))^m,x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(\frac{a}{\cos\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int((b*tan(e + f*x))^n*(a/cos(e + f*x))^m, x)","F"
363,0,-1,74,0.000000,"\text{Not used}","int((d*tan(a + b*x))^n/cos(a + b*x)^6,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n}{{\cos\left(a+b\,x\right)}^6} \,d x","Not used",1,"int((d*tan(a + b*x))^n/cos(a + b*x)^6, x)","F"
364,1,139,49,3.844586,"\text{Not used}","int((d*tan(a + b*x))^n/cos(a + b*x)^4,x)","-\frac{2\,{\left(-\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{2\,{\sin\left(a+b\,x\right)}^2-2}\right)}^n\,\left(9\,\sin\left(2\,a+2\,b\,x\right)+6\,\sin\left(4\,a+4\,b\,x\right)+\sin\left(6\,a+6\,b\,x\right)+4\,n\,\sin\left(2\,a+2\,b\,x\right)+2\,n\,\sin\left(4\,a+4\,b\,x\right)\right)}{b\,\left(n^2+4\,n+3\right)\,\left(30\,{\sin\left(a+b\,x\right)}^2+12\,{\sin\left(2\,a+2\,b\,x\right)}^2+2\,{\sin\left(3\,a+3\,b\,x\right)}^2-32\right)}","Not used",1,"-(2*(-(d*sin(2*a + 2*b*x))/(2*sin(a + b*x)^2 - 2))^n*(9*sin(2*a + 2*b*x) + 6*sin(4*a + 4*b*x) + sin(6*a + 6*b*x) + 4*n*sin(2*a + 2*b*x) + 2*n*sin(4*a + 4*b*x)))/(b*(4*n + n^2 + 3)*(12*sin(2*a + 2*b*x)^2 + 2*sin(3*a + 3*b*x)^2 + 30*sin(a + b*x)^2 - 32))","B"
365,1,49,24,2.641555,"\text{Not used}","int((d*tan(a + b*x))^n/cos(a + b*x)^2,x)","\frac{\sin\left(2\,a+2\,b\,x\right)\,{\left(\frac{d\,\sin\left(2\,a+2\,b\,x\right)}{2\,{\cos\left(a+b\,x\right)}^2}\right)}^n}{2\,b\,{\cos\left(a+b\,x\right)}^2\,\left(n+1\right)}","Not used",1,"(sin(2*a + 2*b*x)*((d*sin(2*a + 2*b*x))/(2*cos(a + b*x)^2))^n)/(2*b*cos(a + b*x)^2*(n + 1))","B"
366,0,-1,50,0.000000,"\text{Not used}","int((d*tan(a + b*x))^n,x)","\int {\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int((d*tan(a + b*x))^n, x)","F"
367,0,-1,50,0.000000,"\text{Not used}","int(cos(a + b*x)^2*(d*tan(a + b*x))^n,x)","\int {\cos\left(a+b\,x\right)}^2\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int(cos(a + b*x)^2*(d*tan(a + b*x))^n, x)","F"
368,0,-1,50,0.000000,"\text{Not used}","int(cos(a + b*x)^4*(d*tan(a + b*x))^n,x)","\int {\cos\left(a+b\,x\right)}^4\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int(cos(a + b*x)^4*(d*tan(a + b*x))^n, x)","F"
369,0,-1,78,0.000000,"\text{Not used}","int((d*tan(a + b*x))^n/cos(a + b*x)^5,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n}{{\cos\left(a+b\,x\right)}^5} \,d x","Not used",1,"int((d*tan(a + b*x))^n/cos(a + b*x)^5, x)","F"
370,0,-1,78,0.000000,"\text{Not used}","int((d*tan(a + b*x))^n/cos(a + b*x)^3,x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n}{{\cos\left(a+b\,x\right)}^3} \,d x","Not used",1,"int((d*tan(a + b*x))^n/cos(a + b*x)^3, x)","F"
371,0,-1,76,0.000000,"\text{Not used}","int((d*tan(a + b*x))^n/cos(a + b*x),x)","\int \frac{{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n}{\cos\left(a+b\,x\right)} \,d x","Not used",1,"int((d*tan(a + b*x))^n/cos(a + b*x), x)","F"
372,0,-1,72,0.000000,"\text{Not used}","int(cos(a + b*x)*(d*tan(a + b*x))^n,x)","\int \cos\left(a+b\,x\right)\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int(cos(a + b*x)*(d*tan(a + b*x))^n, x)","F"
373,0,-1,78,0.000000,"\text{Not used}","int(cos(a + b*x)^3*(d*tan(a + b*x))^n,x)","\int {\cos\left(a+b\,x\right)}^3\,{\left(d\,\mathrm{tan}\left(a+b\,x\right)\right)}^n \,d x","Not used",1,"int(cos(a + b*x)^3*(d*tan(a + b*x))^n, x)","F"
374,0,-1,40,0.000000,"\text{Not used}","int(tan(e + f*x)^3*(b/sin(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^3\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^3*(b/sin(e + f*x))^m, x)","F"
375,0,-1,39,0.000000,"\text{Not used}","int(tan(e + f*x)*(b/sin(e + f*x))^m,x)","\int \mathrm{tan}\left(e+f\,x\right)\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(tan(e + f*x)*(b/sin(e + f*x))^m, x)","F"
376,1,43,18,2.835288,"\text{Not used}","int(cot(e + f*x)*(b/sin(e + f*x))^m,x)","\left\{\begin{array}{cl} -\frac{\ln\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}{f} & \text{\ if\ \ }m=0\\ -\frac{{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m}{f\,m} & \text{\ if\ \ }m\neq 0 \end{array}\right.","Not used",1,"piecewise(m == 0, -log(b/sin(e + f*x))/f, m ~= 0, -(b/sin(e + f*x))^m/(f*m))","B"
377,1,92,43,3.439472,"\text{Not used}","int(cot(e + f*x)^3*(b/sin(e + f*x))^m,x)","\frac{{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m\,\left(m+4\,{\sin\left(2\,e+2\,f\,x\right)}^2+m\,\left(2\,{\sin\left(2\,e+2\,f\,x\right)}^2-1\right)-16\,{\sin\left(e+f\,x\right)}^2\right)}{f\,m\,\left(2\,{\sin\left(2\,e+2\,f\,x\right)}^2-8\,{\sin\left(e+f\,x\right)}^2\right)\,\left(m+2\right)}","Not used",1,"((b/sin(e + f*x))^m*(m + 4*sin(2*e + 2*f*x)^2 + m*(2*sin(2*e + 2*f*x)^2 - 1) - 16*sin(e + f*x)^2))/(f*m*(2*sin(2*e + 2*f*x)^2 - 8*sin(e + f*x)^2)*(m + 2))","B"
378,1,222,69,7.629021,"\text{Not used}","int(cot(e + f*x)^5*(b/sin(e + f*x))^m,x)","-\frac{{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m\,\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{2\,\left(2\,{\sin\left(2\,e+2\,f\,x\right)}^2-1\right)\,\left(-2\,{\sin\left(2\,e+2\,f\,x\right)}^2+\sin\left(4\,e+4\,f\,x\right)\,1{}\mathrm{i}+1\right)}{f\,m}-\frac{\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(6\,m^2+4\,m+48\right)}{f\,m\,\left(m^2+6\,m+8\right)}+\frac{2\,\left(2\,{\sin\left(e+f\,x\right)}^2-1\right)\,\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(4\,m^2+8\,m-32\right)}{f\,m\,\left(m^2+6\,m+8\right)}\right)}{16\,{\sin\left(e+f\,x\right)}^4}","Not used",1,"-((b/sin(e + f*x))^m*(sin(4*e + 4*f*x)*1i + 2*sin(2*e + 2*f*x)^2 - 1)*((2*(2*sin(2*e + 2*f*x)^2 - 1)*(sin(4*e + 4*f*x)*1i - 2*sin(2*e + 2*f*x)^2 + 1))/(f*m) - ((sin(4*e + 4*f*x)*1i - 2*sin(2*e + 2*f*x)^2 + 1)*(4*m + 6*m^2 + 48))/(f*m*(6*m + m^2 + 8)) + (2*(2*sin(e + f*x)^2 - 1)*(sin(4*e + 4*f*x)*1i - 2*sin(2*e + 2*f*x)^2 + 1)*(8*m + 4*m^2 - 32))/(f*m*(6*m + m^2 + 8))))/(16*sin(e + f*x)^4)","B"
379,0,-1,63,0.000000,"\text{Not used}","int(tan(e + f*x)^4*(b/sin(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^4\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^4*(b/sin(e + f*x))^m, x)","F"
380,0,-1,58,0.000000,"\text{Not used}","int(tan(e + f*x)^2*(b/sin(e + f*x))^m,x)","\int {\mathrm{tan}\left(e+f\,x\right)}^2\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(tan(e + f*x)^2*(b/sin(e + f*x))^m, x)","F"
381,0,-1,63,0.000000,"\text{Not used}","int(cot(e + f*x)^2*(b/sin(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^2\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^2*(b/sin(e + f*x))^m, x)","F"
382,0,-1,63,0.000000,"\text{Not used}","int(cot(e + f*x)^4*(b/sin(e + f*x))^m,x)","\int {\mathrm{cot}\left(e+f\,x\right)}^4\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int(cot(e + f*x)^4*(b/sin(e + f*x))^m, x)","F"
383,0,-1,79,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(3/2)*(b/sin(e + f*x))^m,x)","\int {\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int((d*tan(e + f*x))^(3/2)*(b/sin(e + f*x))^m, x)","F"
384,0,-1,79,0.000000,"\text{Not used}","int((d*tan(e + f*x))^(1/2)*(b/sin(e + f*x))^m,x)","\int \sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}\,{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int((d*tan(e + f*x))^(1/2)*(b/sin(e + f*x))^m, x)","F"
385,0,-1,79,0.000000,"\text{Not used}","int((b/sin(e + f*x))^m/(d*tan(e + f*x))^(1/2),x)","\int \frac{{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m}{\sqrt{d\,\mathrm{tan}\left(e+f\,x\right)}} \,d x","Not used",1,"int((b/sin(e + f*x))^m/(d*tan(e + f*x))^(1/2), x)","F"
386,0,-1,79,0.000000,"\text{Not used}","int((b/sin(e + f*x))^m/(d*tan(e + f*x))^(3/2),x)","\int \frac{{\left(\frac{b}{\sin\left(e+f\,x\right)}\right)}^m}{{\left(d\,\mathrm{tan}\left(e+f\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int((b/sin(e + f*x))^m/(d*tan(e + f*x))^(3/2), x)","F"
387,0,-1,89,0.000000,"\text{Not used}","int((b*tan(e + f*x))^n*(a/sin(e + f*x))^m,x)","\int {\left(b\,\mathrm{tan}\left(e+f\,x\right)\right)}^n\,{\left(\frac{a}{\sin\left(e+f\,x\right)}\right)}^m \,d x","Not used",1,"int((b*tan(e + f*x))^n*(a/sin(e + f*x))^m, x)","F"