1,1,11,0,0.430535," ","integrate(tan(d*x+c),x, algorithm=""maxima"")","\frac{\log\left(\sec\left(d x + c\right)\right)}{d}"," ",0,"log(sec(d*x + c))/d","A",0
2,1,18,0,0.422756," ","integrate(tan(d*x+c)^2,x, algorithm=""maxima"")","-\frac{d x + c - \tan\left(d x + c\right)}{d}"," ",0,"-(d*x + c - tan(d*x + c))/d","A",0
3,1,31,0,0.605605," ","integrate(tan(d*x+c)^3,x, algorithm=""maxima"")","-\frac{\frac{1}{\sin\left(d x + c\right)^{2} - 1} - \log\left(\sin\left(d x + c\right)^{2} - 1\right)}{2 \, d}"," ",0,"-1/2*(1/(sin(d*x + c)^2 - 1) - log(sin(d*x + c)^2 - 1))/d","A",0
4,1,29,0,0.718419," ","integrate(tan(d*x+c)^4,x, algorithm=""maxima"")","\frac{\tan\left(d x + c\right)^{3} + 3 \, d x + 3 \, c - 3 \, \tan\left(d x + c\right)}{3 \, d}"," ",0,"1/3*(tan(d*x + c)^3 + 3*d*x + 3*c - 3*tan(d*x + c))/d","A",0
5,1,54,0,0.481803," ","integrate(tan(d*x+c)^5,x, algorithm=""maxima"")","\frac{\frac{4 \, \sin\left(d x + c\right)^{2} - 3}{\sin\left(d x + c\right)^{4} - 2 \, \sin\left(d x + c\right)^{2} + 1} - 2 \, \log\left(\sin\left(d x + c\right)^{2} - 1\right)}{4 \, d}"," ",0,"1/4*((4*sin(d*x + c)^2 - 3)/(sin(d*x + c)^4 - 2*sin(d*x + c)^2 + 1) - 2*log(sin(d*x + c)^2 - 1))/d","A",0
6,1,41,0,0.550768," ","integrate(tan(d*x+c)^6,x, algorithm=""maxima"")","\frac{3 \, \tan\left(d x + c\right)^{5} - 5 \, \tan\left(d x + c\right)^{3} - 15 \, d x - 15 \, c + 15 \, \tan\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*tan(d*x + c)^5 - 5*tan(d*x + c)^3 - 15*d*x - 15*c + 15*tan(d*x + c))/d","A",0
7,1,74,0,0.500119," ","integrate(tan(d*x+c)^7,x, algorithm=""maxima"")","-\frac{\frac{18 \, \sin\left(d x + c\right)^{4} - 27 \, \sin\left(d x + c\right)^{2} + 11}{\sin\left(d x + c\right)^{6} - 3 \, \sin\left(d x + c\right)^{4} + 3 \, \sin\left(d x + c\right)^{2} - 1} - 6 \, \log\left(\sin\left(d x + c\right)^{2} - 1\right)}{12 \, d}"," ",0,"-1/12*((18*sin(d*x + c)^4 - 27*sin(d*x + c)^2 + 11)/(sin(d*x + c)^6 - 3*sin(d*x + c)^4 + 3*sin(d*x + c)^2 - 1) - 6*log(sin(d*x + c)^2 - 1))/d","A",0
8,1,51,0,0.629805," ","integrate(tan(d*x+c)^8,x, algorithm=""maxima"")","\frac{15 \, \tan\left(d x + c\right)^{7} - 21 \, \tan\left(d x + c\right)^{5} + 35 \, \tan\left(d x + c\right)^{3} + 105 \, d x + 105 \, c - 105 \, \tan\left(d x + c\right)}{105 \, d}"," ",0,"1/105*(15*tan(d*x + c)^7 - 21*tan(d*x + c)^5 + 35*tan(d*x + c)^3 + 105*d*x + 105*c - 105*tan(d*x + c))/d","A",0
9,1,186,0,0.803992," ","integrate((b*tan(d*x+c))^(7/2),x, algorithm=""maxima"")","\frac{10 \, \sqrt{2} b^{\frac{9}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right) + 10 \, \sqrt{2} b^{\frac{9}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right) + 5 \, \sqrt{2} b^{\frac{9}{2}} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right) - 5 \, \sqrt{2} b^{\frac{9}{2}} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right) + 8 \, \left(b \tan\left(d x + c\right)\right)^{\frac{5}{2}} b^{2} - 40 \, \sqrt{b \tan\left(d x + c\right)} b^{4}}{20 \, b d}"," ",0,"1/20*(10*sqrt(2)*b^(9/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b)) + 10*sqrt(2)*b^(9/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b)) + 5*sqrt(2)*b^(9/2)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b) - 5*sqrt(2)*b^(9/2)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b) + 8*(b*tan(d*x + c))^(5/2)*b^2 - 40*sqrt(b*tan(d*x + c))*b^4)/(b*d)","A",0
10,1,176,0,0.657948," ","integrate((b*tan(d*x+c))^(5/2),x, algorithm=""maxima"")","-\frac{3 \, b^{4} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} - \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}} + \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}}\right)} - 8 \, \left(b \tan\left(d x + c\right)\right)^{\frac{3}{2}} b^{2}}{12 \, b d}"," ",0,"-1/12*(3*b^4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) - sqrt(2)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b) + sqrt(2)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b)) - 8*(b*tan(d*x + c))^(3/2)*b^2)/(b*d)","A",0
11,1,170,0,0.571079," ","integrate((b*tan(d*x+c))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{2} b^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right) + 2 \, \sqrt{2} b^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right) + \sqrt{2} b^{\frac{5}{2}} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right) - \sqrt{2} b^{\frac{5}{2}} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right) - 8 \, \sqrt{b \tan\left(d x + c\right)} b^{2}}{4 \, b d}"," ",0,"-1/4*(2*sqrt(2)*b^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b)) + 2*sqrt(2)*b^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b)) + sqrt(2)*b^(5/2)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b) - sqrt(2)*b^(5/2)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b) - 8*sqrt(b*tan(d*x + c))*b^2)/(b*d)","A",0
12,1,153,0,0.427261," ","integrate((b*tan(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{b {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} - \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}} + \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}}\right)}}{4 \, d}"," ",0,"1/4*b*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) - sqrt(2)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b) + sqrt(2)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b))/d","A",0
13,1,155,0,0.685143," ","integrate(1/(b*tan(d*x+c))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{2} \sqrt{b} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right) + 2 \, \sqrt{2} \sqrt{b} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right) + \sqrt{2} \sqrt{b} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right) - \sqrt{2} \sqrt{b} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{4 \, b d}"," ",0,"1/4*(2*sqrt(2)*sqrt(b)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b)) + 2*sqrt(2)*sqrt(b)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b)) + sqrt(2)*sqrt(b)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b) - sqrt(2)*sqrt(b)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b))/(b*d)","A",0
14,1,167,0,0.586274," ","integrate(1/(b*tan(d*x+c))^(3/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} - \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}} + \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}} + \frac{8}{\sqrt{b \tan\left(d x + c\right)}}}{4 \, b d}"," ",0,"-1/4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) - sqrt(2)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b) + sqrt(2)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b) + 8/sqrt(b*tan(d*x + c)))/(b*d)","A",0
15,1,168,0,0.728109," ","integrate(1/(b*tan(d*x+c))^(5/2),x, algorithm=""maxima"")","-\frac{\frac{6 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{b^{\frac{3}{2}}} + \frac{6 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{b^{\frac{3}{2}}} + \frac{3 \, \sqrt{2} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{b^{\frac{3}{2}}} - \frac{3 \, \sqrt{2} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{b^{\frac{3}{2}}} + \frac{8}{\left(b \tan\left(d x + c\right)\right)^{\frac{3}{2}}}}{12 \, b d}"," ",0,"-1/12*(6*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b))/b^(3/2) + 6*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b))/b^(3/2) + 3*sqrt(2)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/b^(3/2) - 3*sqrt(2)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/b^(3/2) + 8/(b*tan(d*x + c))^(3/2))/(b*d)","A",0
16,1,195,0,0.609215," ","integrate(1/(b*tan(d*x+c))^(7/2),x, algorithm=""maxima"")","\frac{\frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} + 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{b} - 2 \, \sqrt{b \tan\left(d x + c\right)}\right)}}{2 \, \sqrt{b}}\right)}{\sqrt{b}} - \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) + \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}} + \frac{\sqrt{2} \log\left(b \tan\left(d x + c\right) - \sqrt{2} \sqrt{b \tan\left(d x + c\right)} \sqrt{b} + b\right)}{\sqrt{b}}\right)}}{b^{2}} + \frac{8 \, {\left(5 \, b^{2} \tan\left(d x + c\right)^{2} - b^{2}\right)}}{\left(b \tan\left(d x + c\right)\right)^{\frac{5}{2}} b^{2}}}{20 \, b d}"," ",0,"1/20*(5*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(b) + 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(b) - 2*sqrt(b*tan(d*x + c)))/sqrt(b))/sqrt(b) - sqrt(2)*log(b*tan(d*x + c) + sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b) + sqrt(2)*log(b*tan(d*x + c) - sqrt(2)*sqrt(b*tan(d*x + c))*sqrt(b) + b)/sqrt(b))/b^2 + 8*(5*b^2*tan(d*x + c)^2 - b^2)/((b*tan(d*x + c))^(5/2)*b^2))/(b*d)","A",0
17,1,185,0,0.661876," ","integrate((b*tan(d*x+c))^(4/3),x, algorithm=""maxima"")","-\frac{\sqrt{3} b^{\frac{7}{3}} \log\left(\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right) - \sqrt{3} b^{\frac{7}{3}} \log\left(-\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right) + 2 \, b^{\frac{7}{3}} \arctan\left(\frac{\sqrt{3} b^{\frac{1}{3}} + 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) + 2 \, b^{\frac{7}{3}} \arctan\left(-\frac{\sqrt{3} b^{\frac{1}{3}} - 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) + 4 \, b^{\frac{7}{3}} \arctan\left(\frac{\left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) - 12 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{2}}{4 \, b d}"," ",0,"-1/4*(sqrt(3)*b^(7/3)*log(sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3)) - sqrt(3)*b^(7/3)*log(-sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3)) + 2*b^(7/3)*arctan((sqrt(3)*b^(1/3) + 2*(b*tan(d*x + c))^(1/3))/b^(1/3)) + 2*b^(7/3)*arctan(-(sqrt(3)*b^(1/3) - 2*(b*tan(d*x + c))^(1/3))/b^(1/3)) + 4*b^(7/3)*arctan((b*tan(d*x + c))^(1/3)/b^(1/3)) - 12*(b*tan(d*x + c))^(1/3)*b^2)/(b*d)","A",0
18,1,168,0,0.480788," ","integrate((b*tan(d*x+c))^(2/3),x, algorithm=""maxima"")","-\frac{{\left(\frac{\sqrt{3} \log\left(\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right)}{b^{\frac{1}{3}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right)}{b^{\frac{1}{3}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} b^{\frac{1}{3}} + 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} b^{\frac{1}{3}} - 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{4 \, \arctan\left(\frac{\left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}}\right)} b}{4 \, d}"," ",0,"-1/4*(sqrt(3)*log(sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3))/b^(1/3) - sqrt(3)*log(-sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3))/b^(1/3) - 2*arctan((sqrt(3)*b^(1/3) + 2*(b*tan(d*x + c))^(1/3))/b^(1/3))/b^(1/3) - 2*arctan(-(sqrt(3)*b^(1/3) - 2*(b*tan(d*x + c))^(1/3))/b^(1/3))/b^(1/3) - 4*arctan((b*tan(d*x + c))^(1/3)/b^(1/3))/b^(1/3))*b/d","A",0
19,1,98,0,0.802786," ","integrate((b*tan(d*x+c))^(1/3),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b^{\frac{4}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} - b^{\frac{2}{3}}\right)}}{3 \, b^{\frac{2}{3}}}\right) + b^{\frac{4}{3}} \log\left(\left(b \tan\left(d x + c\right)\right)^{\frac{4}{3}} - \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} b^{\frac{2}{3}} + b^{\frac{4}{3}}\right) - 2 \, b^{\frac{4}{3}} \log\left(\left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right)}{4 \, b d}"," ",0,"1/4*(2*sqrt(3)*b^(4/3)*arctan(1/3*sqrt(3)*(2*(b*tan(d*x + c))^(2/3) - b^(2/3))/b^(2/3)) + b^(4/3)*log((b*tan(d*x + c))^(4/3) - (b*tan(d*x + c))^(2/3)*b^(2/3) + b^(4/3)) - 2*b^(4/3)*log((b*tan(d*x + c))^(2/3) + b^(2/3)))/(b*d)","A",0
20,1,99,0,0.773984," ","integrate(1/(b*tan(d*x+c))^(1/3),x, algorithm=""maxima"")","\frac{2 \, \sqrt{3} b^{\frac{2}{3}} \arctan\left(\frac{\sqrt{3} {\left(2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} - b^{\frac{2}{3}}\right)}}{3 \, b^{\frac{2}{3}}}\right) - b^{\frac{2}{3}} \log\left(\left(b \tan\left(d x + c\right)\right)^{\frac{4}{3}} - \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} b^{\frac{2}{3}} + b^{\frac{4}{3}}\right) + 2 \, b^{\frac{2}{3}} \log\left(\left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right)}{4 \, b d}"," ",0,"1/4*(2*sqrt(3)*b^(2/3)*arctan(1/3*sqrt(3)*(2*(b*tan(d*x + c))^(2/3) - b^(2/3))/b^(2/3)) - b^(2/3)*log((b*tan(d*x + c))^(4/3) - (b*tan(d*x + c))^(2/3)*b^(2/3) + b^(4/3)) + 2*b^(2/3)*log((b*tan(d*x + c))^(2/3) + b^(2/3)))/(b*d)","A",0
21,1,170,0,0.825531," ","integrate(1/(b*tan(d*x+c))^(2/3),x, algorithm=""maxima"")","\frac{\sqrt{3} b^{\frac{1}{3}} \log\left(\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right) - \sqrt{3} b^{\frac{1}{3}} \log\left(-\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right) + 2 \, b^{\frac{1}{3}} \arctan\left(\frac{\sqrt{3} b^{\frac{1}{3}} + 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) + 2 \, b^{\frac{1}{3}} \arctan\left(-\frac{\sqrt{3} b^{\frac{1}{3}} - 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right) + 4 \, b^{\frac{1}{3}} \arctan\left(\frac{\left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right)}{4 \, b d}"," ",0,"1/4*(sqrt(3)*b^(1/3)*log(sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3)) - sqrt(3)*b^(1/3)*log(-sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3)) + 2*b^(1/3)*arctan((sqrt(3)*b^(1/3) + 2*(b*tan(d*x + c))^(1/3))/b^(1/3)) + 2*b^(1/3)*arctan(-(sqrt(3)*b^(1/3) - 2*(b*tan(d*x + c))^(1/3))/b^(1/3)) + 4*b^(1/3)*arctan((b*tan(d*x + c))^(1/3)/b^(1/3)))/(b*d)","A",0
22,1,182,0,0.729426," ","integrate(1/(b*tan(d*x+c))^(4/3),x, algorithm=""maxima"")","\frac{\frac{\sqrt{3} \log\left(\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right)}{b^{\frac{1}{3}}} - \frac{\sqrt{3} \log\left(-\sqrt{3} \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}} b^{\frac{1}{3}} + \left(b \tan\left(d x + c\right)\right)^{\frac{2}{3}} + b^{\frac{2}{3}}\right)}{b^{\frac{1}{3}}} - \frac{2 \, \arctan\left(\frac{\sqrt{3} b^{\frac{1}{3}} + 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{2 \, \arctan\left(-\frac{\sqrt{3} b^{\frac{1}{3}} - 2 \, \left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{4 \, \arctan\left(\frac{\left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}{b^{\frac{1}{3}}}\right)}{b^{\frac{1}{3}}} - \frac{12}{\left(b \tan\left(d x + c\right)\right)^{\frac{1}{3}}}}{4 \, b d}"," ",0,"1/4*(sqrt(3)*log(sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3))/b^(1/3) - sqrt(3)*log(-sqrt(3)*(b*tan(d*x + c))^(1/3)*b^(1/3) + (b*tan(d*x + c))^(2/3) + b^(2/3))/b^(1/3) - 2*arctan((sqrt(3)*b^(1/3) + 2*(b*tan(d*x + c))^(1/3))/b^(1/3))/b^(1/3) - 2*arctan(-(sqrt(3)*b^(1/3) - 2*(b*tan(d*x + c))^(1/3))/b^(1/3))/b^(1/3) - 4*arctan((b*tan(d*x + c))^(1/3)/b^(1/3))/b^(1/3) - 12/(b*tan(d*x + c))^(1/3))/(b*d)","A",0
23,0,0,0,0.000000," ","integrate((b*tan(d*x+c))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)\right)^{n}\,{d x}"," ",0,"integrate((b*tan(d*x + c))^n, x)","F",0
24,1,47,0,0.783191," ","integrate((b*tan(d*x+c)^2)^(5/2),x, algorithm=""maxima"")","\frac{b^{\frac{5}{2}} \tan\left(d x + c\right)^{4} - 2 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{2} + 2 \, b^{\frac{5}{2}} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{4 \, d}"," ",0,"1/4*(b^(5/2)*tan(d*x + c)^4 - 2*b^(5/2)*tan(d*x + c)^2 + 2*b^(5/2)*log(tan(d*x + c)^2 + 1))/d","A",0
25,1,34,0,0.592087," ","integrate((b*tan(d*x+c)^2)^(3/2),x, algorithm=""maxima"")","\frac{b^{\frac{3}{2}} \tan\left(d x + c\right)^{2} - b^{\frac{3}{2}} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{2 \, d}"," ",0,"1/2*(b^(3/2)*tan(d*x + c)^2 - b^(3/2)*log(tan(d*x + c)^2 + 1))/d","A",0
26,1,19,0,0.574036," ","integrate((b*tan(d*x+c)^2)^(1/2),x, algorithm=""maxima"")","\frac{\sqrt{b} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{2 \, d}"," ",0,"1/2*sqrt(b)*log(tan(d*x + c)^2 + 1)/d","A",0
27,1,33,0,0.836503," ","integrate(1/(b*tan(d*x+c)^2)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{\log\left(\tan\left(d x + c\right)^{2} + 1\right)}{\sqrt{b}} - \frac{2 \, \log\left(\tan\left(d x + c\right)\right)}{\sqrt{b}}}{2 \, d}"," ",0,"-1/2*(log(tan(d*x + c)^2 + 1)/sqrt(b) - 2*log(tan(d*x + c))/sqrt(b))/d","A",0
28,1,46,0,0.483090," ","integrate(1/(b*tan(d*x+c)^2)^(3/2),x, algorithm=""maxima"")","\frac{\frac{\log\left(\tan\left(d x + c\right)^{2} + 1\right)}{b^{\frac{3}{2}}} - \frac{2 \, \log\left(\tan\left(d x + c\right)\right)}{b^{\frac{3}{2}}} - \frac{1}{b^{\frac{3}{2}} \tan\left(d x + c\right)^{2}}}{2 \, d}"," ",0,"1/2*(log(tan(d*x + c)^2 + 1)/b^(3/2) - 2*log(tan(d*x + c))/b^(3/2) - 1/(b^(3/2)*tan(d*x + c)^2))/d","A",0
29,1,66,0,0.591765," ","integrate(1/(b*tan(d*x+c)^2)^(5/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{b^{\frac{5}{2}}} - \frac{4 \, \log\left(\tan\left(d x + c\right)\right)}{b^{\frac{5}{2}}} - \frac{2 \, \sqrt{b} \tan\left(d x + c\right)^{2} - \sqrt{b}}{b^{3} \tan\left(d x + c\right)^{4}}}{4 \, d}"," ",0,"-1/4*(2*log(tan(d*x + c)^2 + 1)/b^(5/2) - 4*log(tan(d*x + c))/b^(5/2) - (2*sqrt(b)*tan(d*x + c)^2 - sqrt(b))/(b^3*tan(d*x + c)^4))/d","A",0
30,1,178,0,0.970371," ","integrate((b*tan(d*x+c)^3)^(5/2),x, algorithm=""maxima"")","\frac{360 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{\frac{13}{2}} - 520 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{\frac{9}{2}} + 936 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{\frac{5}{2}} + 585 \, {\left(2 \, \sqrt{2} \sqrt{b} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + 2 \, \sqrt{2} \sqrt{b} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + \sqrt{2} \sqrt{b} \log\left(\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right) - \sqrt{2} \sqrt{b} \log\left(-\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right)\right)} b^{2} - 4680 \, b^{\frac{5}{2}} \sqrt{\tan\left(d x + c\right)}}{2340 \, d}"," ",0,"1/2340*(360*b^(5/2)*tan(d*x + c)^(13/2) - 520*b^(5/2)*tan(d*x + c)^(9/2) + 936*b^(5/2)*tan(d*x + c)^(5/2) + 585*(2*sqrt(2)*sqrt(b)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(tan(d*x + c)))) + 2*sqrt(2)*sqrt(b)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(tan(d*x + c)))) + sqrt(2)*sqrt(b)*log(sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1) - sqrt(2)*sqrt(b)*log(-sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1))*b^2 - 4680*b^(5/2)*sqrt(tan(d*x + c)))/d","A",0
31,1,140,0,0.625515," ","integrate((b*tan(d*x+c)^3)^(3/2),x, algorithm=""maxima"")","\frac{24 \, b^{\frac{3}{2}} \tan\left(d x + c\right)^{\frac{7}{2}} - 56 \, b^{\frac{3}{2}} \tan\left(d x + c\right)^{\frac{3}{2}} + 21 \, {\left(2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + 2 \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) - \sqrt{2} \log\left(\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right) + \sqrt{2} \log\left(-\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right)\right)} b^{\frac{3}{2}}}{84 \, d}"," ",0,"1/84*(24*b^(3/2)*tan(d*x + c)^(7/2) - 56*b^(3/2)*tan(d*x + c)^(3/2) + 21*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(tan(d*x + c)))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(tan(d*x + c)))) - sqrt(2)*log(sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1) + sqrt(2)*log(-sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1))*b^(3/2))/d","A",0
32,1,133,0,0.659018," ","integrate((b*tan(d*x+c)^3)^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{2} \sqrt{b} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + 2 \, \sqrt{2} \sqrt{b} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + \sqrt{2} \sqrt{b} \log\left(\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right) - \sqrt{2} \sqrt{b} \log\left(-\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right) - 8 \, \sqrt{b} \sqrt{\tan\left(d x + c\right)}}{4 \, d}"," ",0,"-1/4*(2*sqrt(2)*sqrt(b)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(tan(d*x + c)))) + 2*sqrt(2)*sqrt(b)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(tan(d*x + c)))) + sqrt(2)*sqrt(b)*log(sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1) - sqrt(2)*sqrt(b)*log(-sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1) - 8*sqrt(b)*sqrt(tan(d*x + c)))/d","A",0
33,1,126,0,0.535239," ","integrate(1/(b*tan(d*x+c)^3)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + 2 \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) - \sqrt{2} \log\left(\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right) + \sqrt{2} \log\left(-\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right)}{\sqrt{b}} + \frac{8}{\sqrt{b} \sqrt{\tan\left(d x + c\right)}}}{4 \, d}"," ",0,"-1/4*((2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(tan(d*x + c)))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(tan(d*x + c)))) - sqrt(2)*log(sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1) + sqrt(2)*log(-sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1))/sqrt(b) + 8/(sqrt(b)*sqrt(tan(d*x + c))))/d","A",0
34,1,163,0,0.633154," ","integrate(1/(b*tan(d*x+c)^3)^(3/2),x, algorithm=""maxima"")","\frac{\frac{21 \, {\left(2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + 2 \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + \sqrt{2} \log\left(\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right) - \sqrt{2} \log\left(-\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right)\right)}}{b^{\frac{3}{2}}} + \frac{8 \, {\left(21 \, \sqrt{\tan\left(d x + c\right)} + \frac{7}{\tan\left(d x + c\right)^{\frac{3}{2}}} - \frac{3}{\tan\left(d x + c\right)^{\frac{7}{2}}}\right)}}{b^{\frac{3}{2}}} - \frac{168 \, \sqrt{\tan\left(d x + c\right)}}{b^{\frac{3}{2}}}}{84 \, d}"," ",0,"1/84*(21*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(tan(d*x + c)))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(tan(d*x + c)))) + sqrt(2)*log(sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1) - sqrt(2)*log(-sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1))/b^(3/2) + 8*(21*sqrt(tan(d*x + c)) + 7/tan(d*x + c)^(3/2) - 3/tan(d*x + c)^(7/2))/b^(3/2) - 168*sqrt(tan(d*x + c))/b^(3/2))/d","A",0
35,1,172,0,0.813248," ","integrate(1/(b*tan(d*x+c)^3)^(5/2),x, algorithm=""maxima"")","\frac{\frac{585 \, {\left(2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} + 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) + 2 \, \sqrt{2} \arctan\left(-\frac{1}{2} \, \sqrt{2} {\left(\sqrt{2} - 2 \, \sqrt{\tan\left(d x + c\right)}\right)}\right) - \sqrt{2} \log\left(\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right) + \sqrt{2} \log\left(-\sqrt{2} \sqrt{\tan\left(d x + c\right)} + \tan\left(d x + c\right) + 1\right)\right)}}{b^{\frac{5}{2}}} + \frac{8 \, {\left(\frac{585 \, \sqrt{b}}{\sqrt{\tan\left(d x + c\right)}} - \frac{117 \, \sqrt{b}}{\tan\left(d x + c\right)^{\frac{5}{2}}} + \frac{65 \, \sqrt{b}}{\tan\left(d x + c\right)^{\frac{9}{2}}} - \frac{45 \, \sqrt{b}}{\tan\left(d x + c\right)^{\frac{13}{2}}}\right)}}{b^{3}}}{2340 \, d}"," ",0,"1/2340*(585*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2) + 2*sqrt(tan(d*x + c)))) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2) - 2*sqrt(tan(d*x + c)))) - sqrt(2)*log(sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1) + sqrt(2)*log(-sqrt(2)*sqrt(tan(d*x + c)) + tan(d*x + c) + 1))/b^(5/2) + 8*(585*sqrt(b)/sqrt(tan(d*x + c)) - 117*sqrt(b)/tan(d*x + c)^(5/2) + 65*sqrt(b)/tan(d*x + c)^(9/2) - 45*sqrt(b)/tan(d*x + c)^(13/2))/b^3)/d","A",0
36,1,79,0,0.840486," ","integrate((tan(d*x+c)^4*b)^(5/2),x, algorithm=""maxima"")","\frac{35 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{9} - 45 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{7} + 63 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{5} - 105 \, b^{\frac{5}{2}} \tan\left(d x + c\right)^{3} - 315 \, {\left(d x + c\right)} b^{\frac{5}{2}} + 315 \, b^{\frac{5}{2}} \tan\left(d x + c\right)}{315 \, d}"," ",0,"1/315*(35*b^(5/2)*tan(d*x + c)^9 - 45*b^(5/2)*tan(d*x + c)^7 + 63*b^(5/2)*tan(d*x + c)^5 - 105*b^(5/2)*tan(d*x + c)^3 - 315*(d*x + c)*b^(5/2) + 315*b^(5/2)*tan(d*x + c))/d","A",0
37,1,53,0,0.501433," ","integrate((tan(d*x+c)^4*b)^(3/2),x, algorithm=""maxima"")","\frac{3 \, b^{\frac{3}{2}} \tan\left(d x + c\right)^{5} - 5 \, b^{\frac{3}{2}} \tan\left(d x + c\right)^{3} - 15 \, {\left(d x + c\right)} b^{\frac{3}{2}} + 15 \, b^{\frac{3}{2}} \tan\left(d x + c\right)}{15 \, d}"," ",0,"1/15*(3*b^(3/2)*tan(d*x + c)^5 - 5*b^(3/2)*tan(d*x + c)^3 - 15*(d*x + c)*b^(3/2) + 15*b^(3/2)*tan(d*x + c))/d","A",0
38,1,26,0,0.644689," ","integrate((tan(d*x+c)^4*b)^(1/2),x, algorithm=""maxima"")","-\frac{{\left(d x + c\right)} \sqrt{b} - \sqrt{b} \tan\left(d x + c\right)}{d}"," ",0,"-((d*x + c)*sqrt(b) - sqrt(b)*tan(d*x + c))/d","A",0
39,1,27,0,0.687265," ","integrate(1/(tan(d*x+c)^4*b)^(1/2),x, algorithm=""maxima"")","-\frac{\frac{d x + c}{\sqrt{b}} + \frac{1}{\sqrt{b} \tan\left(d x + c\right)}}{d}"," ",0,"-((d*x + c)/sqrt(b) + 1/(sqrt(b)*tan(d*x + c)))/d","A",0
40,1,50,0,0.513600," ","integrate(1/(tan(d*x+c)^4*b)^(3/2),x, algorithm=""maxima"")","-\frac{\frac{15 \, {\left(d x + c\right)}}{b^{\frac{3}{2}}} + \frac{15 \, \tan\left(d x + c\right)^{4} - 5 \, \tan\left(d x + c\right)^{2} + 3}{b^{\frac{3}{2}} \tan\left(d x + c\right)^{5}}}{15 \, d}"," ",0,"-1/15*(15*(d*x + c)/b^(3/2) + (15*tan(d*x + c)^4 - 5*tan(d*x + c)^2 + 3)/(b^(3/2)*tan(d*x + c)^5))/d","A",0
41,1,70,0,0.951565," ","integrate(1/(tan(d*x+c)^4*b)^(5/2),x, algorithm=""maxima"")","-\frac{\frac{315 \, {\left(d x + c\right)}}{b^{\frac{5}{2}}} + \frac{315 \, \tan\left(d x + c\right)^{8} - 105 \, \tan\left(d x + c\right)^{6} + 63 \, \tan\left(d x + c\right)^{4} - 45 \, \tan\left(d x + c\right)^{2} + 35}{b^{\frac{5}{2}} \tan\left(d x + c\right)^{9}}}{315 \, d}"," ",0,"-1/315*(315*(d*x + c)/b^(5/2) + (315*tan(d*x + c)^8 - 105*tan(d*x + c)^6 + 63*tan(d*x + c)^4 - 45*tan(d*x + c)^2 + 35)/(b^(5/2)*tan(d*x + c)^9))/d","A",0
42,0,0,0,0.000000," ","integrate((b*tan(d*x+c)^p)^n,x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)^{p}\right)^{n}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^p)^n, x)","F",0
43,0,0,0,0.000000," ","integrate((b*tan(d*x+c)^2)^n,x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)^{2}\right)^{n}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^2)^n, x)","F",0
44,0,0,0,0.000000," ","integrate((b*tan(d*x+c)^3)^n,x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)^{3}\right)^{n}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^3)^n, x)","F",0
45,0,0,0,0.000000," ","integrate((tan(d*x+c)^4*b)^n,x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)^{4}\right)^{n}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^4)^n, x)","F",0
46,0,0,0,0.000000," ","integrate((b*tan(d*x+c)^p)^(5/2),x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)^{p}\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^p)^(5/2), x)","F",0
47,0,0,0,0.000000," ","integrate((b*tan(d*x+c)^p)^(3/2),x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)^{p}\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^p)^(3/2), x)","F",0
48,0,0,0,0.000000," ","integrate((b*tan(d*x+c)^p)^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \tan\left(d x + c\right)^{p}}\,{d x}"," ",0,"integrate(sqrt(b*tan(d*x + c)^p), x)","F",0
49,0,0,0,0.000000," ","integrate(1/(b*tan(d*x+c)^p)^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{b \tan\left(d x + c\right)^{p}}}\,{d x}"," ",0,"integrate(1/sqrt(b*tan(d*x + c)^p), x)","F",0
50,0,0,0,0.000000," ","integrate(1/(b*tan(d*x+c)^p)^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \tan\left(d x + c\right)^{p}\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^p)^(-3/2), x)","F",0
51,0,0,0,0.000000," ","integrate(1/(b*tan(d*x+c)^p)^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(b \tan\left(d x + c\right)^{p}\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^p)^(-5/2), x)","F",0
52,0,0,0,0.000000," ","integrate((b*tan(d*x+c)^p)^(1/p),x, algorithm=""maxima"")","\int \left(b \tan\left(d x + c\right)^{p}\right)^{\left(\frac{1}{p}\right)}\,{d x}"," ",0,"integrate((b*tan(d*x + c)^p)^(1/p), x)","F",0
53,0,0,0,0.000000," ","integrate((a*(b*tan(d*x+c))^p)^n,x, algorithm=""maxima"")","\int \left(\left(b \tan\left(d x + c\right)\right)^{p} a\right)^{n}\,{d x}"," ",0,"integrate(((b*tan(d*x + c))^p*a)^n, x)","F",0
54,1,225,0,0.755472," ","integrate(sin(b*x+a)^4*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{21 \, d^{6} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} - \frac{8 \, {\left(11 \, \left(d \tan\left(b x + a\right)\right)^{\frac{7}{2}} d^{6} + 7 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{8}\right)}}{d^{4} \tan\left(b x + a\right)^{4} + 2 \, d^{4} \tan\left(b x + a\right)^{2} + d^{4}}}{128 \, b d^{5}}"," ",0,"1/128*(21*d^6*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d)) - 8*(11*(d*tan(b*x + a))^(7/2)*d^6 + 7*(d*tan(b*x + a))^(3/2)*d^8)/(d^4*tan(b*x + a)^4 + 2*d^4*tan(b*x + a)^2 + d^4))/(b*d^5)","A",0
55,1,194,0,0.635610," ","integrate(sin(b*x+a)^2*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{3 \, d^{4} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} - \frac{8 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{4}}{d^{2} \tan\left(b x + a\right)^{2} + d^{2}}}{16 \, b d^{3}}"," ",0,"1/16*(3*d^4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d)) - 8*(d*tan(b*x + a))^(3/2)*d^4/(d^2*tan(b*x + a)^2 + d^2))/(b*d^3)","A",0
56,1,23,0,0.549898," ","integrate(csc(b*x+a)^2*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{d \tan\left(b x + a\right)}}{b \tan\left(b x + a\right)}"," ",0,"-2*sqrt(d*tan(b*x + a))/(b*tan(b*x + a))","A",0
57,1,33,0,0.528619," ","integrate(csc(b*x+a)^4*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(5 \, d^{2} \tan\left(b x + a\right)^{2} + d^{2}\right)} d}{5 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} b}"," ",0,"-2/5*(5*d^2*tan(b*x + a)^2 + d^2)*d/((d*tan(b*x + a))^(5/2)*b)","A",0
58,1,48,0,0.324149," ","integrate(csc(b*x+a)^6*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(45 \, d^{4} \tan\left(b x + a\right)^{4} + 18 \, d^{4} \tan\left(b x + a\right)^{2} + 5 \, d^{4}\right)} d}{45 \, \left(d \tan\left(b x + a\right)\right)^{\frac{9}{2}} b}"," ",0,"-2/45*(45*d^4*tan(b*x + a)^4 + 18*d^4*tan(b*x + a)^2 + 5*d^4)*d/((d*tan(b*x + a))^(9/2)*b)","A",0
59,0,0,0,0.000000," ","integrate(sin(b*x+a)^3*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(b x + a\right)} \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(sqrt(d*tan(b*x + a))*sin(b*x + a)^3, x)","F",0
60,0,0,0,0.000000," ","integrate(sin(b*x+a)*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(b x + a\right)} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate(sqrt(d*tan(b*x + a))*sin(b*x + a), x)","F",0
61,0,0,0,0.000000," ","integrate(csc(b*x+a)*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(b x + a\right)} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate(sqrt(d*tan(b*x + a))*csc(b*x + a), x)","F",0
62,0,0,0,0.000000," ","integrate(csc(b*x+a)^3*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(b x + a\right)} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate(sqrt(d*tan(b*x + a))*csc(b*x + a)^3, x)","F",0
63,0,0,0,0.000000," ","integrate(csc(b*x+a)^5*(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(b x + a\right)} \csc\left(b x + a\right)^{5}\,{d x}"," ",0,"integrate(sqrt(d*tan(b*x + a))*csc(b*x + a)^5, x)","F",0
64,1,235,0,0.827422," ","integrate(sin(b*x+a)^4*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{90 \, \sqrt{2} d^{\frac{13}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 90 \, \sqrt{2} d^{\frac{13}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 45 \, \sqrt{2} d^{\frac{13}{2}} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - 45 \, \sqrt{2} d^{\frac{13}{2}} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - 256 \, \sqrt{d \tan\left(b x + a\right)} d^{6} - \frac{8 \, {\left(17 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} d^{8} + 13 \, \sqrt{d \tan\left(b x + a\right)} d^{10}\right)}}{d^{4} \tan\left(b x + a\right)^{4} + 2 \, d^{4} \tan\left(b x + a\right)^{2} + d^{4}}}{128 \, b d^{5}}"," ",0,"-1/128*(90*sqrt(2)*d^(13/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 90*sqrt(2)*d^(13/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 45*sqrt(2)*d^(13/2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 45*sqrt(2)*d^(13/2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 256*sqrt(d*tan(b*x + a))*d^6 - 8*(17*(d*tan(b*x + a))^(5/2)*d^8 + 13*sqrt(d*tan(b*x + a))*d^10)/(d^4*tan(b*x + a)^4 + 2*d^4*tan(b*x + a)^2 + d^4))/(b*d^5)","A",0
65,1,204,0,0.564496," ","integrate(sin(b*x+a)^2*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{10 \, \sqrt{2} d^{\frac{9}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 10 \, \sqrt{2} d^{\frac{9}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 5 \, \sqrt{2} d^{\frac{9}{2}} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - 5 \, \sqrt{2} d^{\frac{9}{2}} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - \frac{8 \, \sqrt{d \tan\left(b x + a\right)} d^{6}}{d^{2} \tan\left(b x + a\right)^{2} + d^{2}} - 32 \, \sqrt{d \tan\left(b x + a\right)} d^{4}}{16 \, b d^{3}}"," ",0,"-1/16*(10*sqrt(2)*d^(9/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 10*sqrt(2)*d^(9/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 5*sqrt(2)*d^(9/2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 5*sqrt(2)*d^(9/2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 8*sqrt(d*tan(b*x + a))*d^6/(d^2*tan(b*x + a)^2 + d^2) - 32*sqrt(d*tan(b*x + a))*d^4)/(b*d^3)","A",0
66,1,23,0,0.684535," ","integrate(csc(b*x+a)^2*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}{b \tan\left(b x + a\right)}"," ",0,"2*(d*tan(b*x + a))^(3/2)/(b*tan(b*x + a))","A",0
67,1,34,0,0.586823," ","integrate(csc(b*x+a)^4*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, d^{3} {\left(\frac{1}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}} - \frac{3 \, \sqrt{d \tan\left(b x + a\right)}}{d^{2}}\right)}}{3 \, b}"," ",0,"-2/3*d^3*(1/(d*tan(b*x + a))^(3/2) - 3*sqrt(d*tan(b*x + a))/d^2)/b","A",0
68,1,58,0,0.468035," ","integrate(csc(b*x+a)^6*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, d^{5} {\left(\frac{21 \, \sqrt{d \tan\left(b x + a\right)}}{d^{4}} - \frac{14 \, d^{2} \tan\left(b x + a\right)^{2} + 3 \, d^{2}}{\left(d \tan\left(b x + a\right)\right)^{\frac{7}{2}} d^{2}}\right)}}{21 \, b}"," ",0,"2/21*d^5*(21*sqrt(d*tan(b*x + a))/d^4 - (14*d^2*tan(b*x + a)^2 + 3*d^2)/((d*tan(b*x + a))^(7/2)*d^2))/b","A",0
69,0,0,0,0.000000," ","integrate(sin(b*x+a)^3*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*sin(b*x + a)^3, x)","F",0
70,0,0,0,0.000000," ","integrate(sin(b*x+a)*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*sin(b*x + a), x)","F",0
71,0,0,0,0.000000," ","integrate(csc(b*x+a)*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*csc(b*x + a), x)","F",0
72,0,0,0,0.000000," ","integrate(csc(b*x+a)^3*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*csc(b*x + a)^3, x)","F",0
73,1,240,0,0.592450," ","integrate(sin(b*x+a)^4*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{231 \, d^{8} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} - 256 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{6} - \frac{24 \, {\left(19 \, \left(d \tan\left(b x + a\right)\right)^{\frac{7}{2}} d^{8} + 15 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{10}\right)}}{d^{4} \tan\left(b x + a\right)^{4} + 2 \, d^{4} \tan\left(b x + a\right)^{2} + d^{4}}}{384 \, b d^{5}}"," ",0,"-1/384*(231*d^8*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d)) - 256*(d*tan(b*x + a))^(3/2)*d^6 - 24*(19*(d*tan(b*x + a))^(7/2)*d^8 + 15*(d*tan(b*x + a))^(3/2)*d^10)/(d^4*tan(b*x + a)^4 + 2*d^4*tan(b*x + a)^2 + d^4))/(b*d^5)","A",0
74,1,209,0,0.831710," ","integrate(sin(b*x+a)^2*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{21 \, d^{6} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} - \frac{24 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{6}}{d^{2} \tan\left(b x + a\right)^{2} + d^{2}} - 32 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{4}}{48 \, b d^{3}}"," ",0,"-1/48*(21*d^6*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d)) - 24*(d*tan(b*x + a))^(3/2)*d^6/(d^2*tan(b*x + a)^2 + d^2) - 32*(d*tan(b*x + a))^(3/2)*d^4)/(b*d^3)","A",0
75,1,23,0,0.423259," ","integrate(csc(b*x+a)^2*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}{3 \, b \tan\left(b x + a\right)}"," ",0,"2/3*(d*tan(b*x + a))^(5/2)/(b*tan(b*x + a))","A",0
76,1,36,0,0.570593," ","integrate(csc(b*x+a)^4*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, d^{3} {\left(\frac{3}{\sqrt{d \tan\left(b x + a\right)}} - \frac{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}{d^{2}}\right)}}{3 \, b}"," ",0,"-2/3*d^3*(3/sqrt(d*tan(b*x + a)) - (d*tan(b*x + a))^(3/2)/d^2)/b","A",0
77,1,56,0,0.474970," ","integrate(csc(b*x+a)^6*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{2 \, d^{5} {\left(\frac{5 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}{d^{4}} - \frac{3 \, {\left(10 \, d^{2} \tan\left(b x + a\right)^{2} + d^{2}\right)}}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} d^{2}}\right)}}{15 \, b}"," ",0,"2/15*d^5*(5*(d*tan(b*x + a))^(3/2)/d^4 - 3*(10*d^2*tan(b*x + a)^2 + d^2)/((d*tan(b*x + a))^(5/2)*d^2))/b","A",0
78,0,0,0,0.000000," ","integrate(sin(b*x+a)^3*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} \sin\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(5/2)*sin(b*x + a)^3, x)","F",0
79,0,0,0,0.000000," ","integrate(sin(b*x+a)*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} \sin\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(5/2)*sin(b*x + a), x)","F",0
80,0,0,0,0.000000," ","integrate(csc(b*x+a)*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} \csc\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(5/2)*csc(b*x + a), x)","F",0
81,0,0,0,0.000000," ","integrate(csc(b*x+a)^3*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} \csc\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(5/2)*csc(b*x + a)^3, x)","F",0
82,0,0,0,0.000000," ","integrate(csc(b*x+a)^5*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} \csc\left(b x + a\right)^{5}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(5/2)*csc(b*x + a)^5, x)","F",0
83,0,0,0,0.000000," ","integrate(csc(b*x+a)^7*(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} \csc\left(b x + a\right)^{7}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(5/2)*csc(b*x + a)^7, x)","F",0
84,1,220,0,0.490079," ","integrate(sin(b*x+a)^4/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{10 \, \sqrt{2} d^{\frac{9}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 10 \, \sqrt{2} d^{\frac{9}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 5 \, \sqrt{2} d^{\frac{9}{2}} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - 5 \, \sqrt{2} d^{\frac{9}{2}} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - \frac{8 \, {\left(9 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} d^{6} + 5 \, \sqrt{d \tan\left(b x + a\right)} d^{8}\right)}}{d^{4} \tan\left(b x + a\right)^{4} + 2 \, d^{4} \tan\left(b x + a\right)^{2} + d^{4}}}{128 \, b d^{5}}"," ",0,"1/128*(10*sqrt(2)*d^(9/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 10*sqrt(2)*d^(9/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 5*sqrt(2)*d^(9/2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 5*sqrt(2)*d^(9/2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 8*(9*(d*tan(b*x + a))^(5/2)*d^6 + 5*sqrt(d*tan(b*x + a))*d^8)/(d^4*tan(b*x + a)^4 + 2*d^4*tan(b*x + a)^2 + d^4))/(b*d^5)","A",0
85,1,188,0,0.576376," ","integrate(sin(b*x+a)^2/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 2 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - \frac{8 \, \sqrt{d \tan\left(b x + a\right)} d^{4}}{d^{2} \tan\left(b x + a\right)^{2} + d^{2}}}{16 \, b d^{3}}"," ",0,"1/16*(2*sqrt(2)*d^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 2*sqrt(2)*d^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + sqrt(2)*d^(5/2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - sqrt(2)*d^(5/2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 8*sqrt(d*tan(b*x + a))*d^4/(d^2*tan(b*x + a)^2 + d^2))/(b*d^3)","A",0
86,1,23,0,0.513266," ","integrate(csc(b*x+a)^2/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2}{3 \, \sqrt{d \tan\left(b x + a\right)} b \tan\left(b x + a\right)}"," ",0,"-2/3/(sqrt(d*tan(b*x + a))*b*tan(b*x + a))","A",0
87,1,35,0,0.319303," ","integrate(csc(b*x+a)^4/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(7 \, d^{2} \tan\left(b x + a\right)^{2} + 3 \, d^{2}\right)} d}{21 \, \left(d \tan\left(b x + a\right)\right)^{\frac{7}{2}} b}"," ",0,"-2/21*(7*d^2*tan(b*x + a)^2 + 3*d^2)*d/((d*tan(b*x + a))^(7/2)*b)","A",0
88,1,48,0,0.321358," ","integrate(csc(b*x+a)^6/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(77 \, d^{4} \tan\left(b x + a\right)^{4} + 66 \, d^{4} \tan\left(b x + a\right)^{2} + 21 \, d^{4}\right)} d}{231 \, \left(d \tan\left(b x + a\right)\right)^{\frac{11}{2}} b}"," ",0,"-2/231*(77*d^4*tan(b*x + a)^4 + 66*d^4*tan(b*x + a)^2 + 21*d^4)*d/((d*tan(b*x + a))^(11/2)*b)","A",0
89,0,0,0,0.000000," ","integrate(sin(b*x+a)^5/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{5}}{\sqrt{d \tan\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sin(b*x + a)^5/sqrt(d*tan(b*x + a)), x)","F",0
90,0,0,0,0.000000," ","integrate(sin(b*x+a)^3/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{3}}{\sqrt{d \tan\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sin(b*x + a)^3/sqrt(d*tan(b*x + a)), x)","F",0
91,0,0,0,0.000000," ","integrate(sin(b*x+a)/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)}{\sqrt{d \tan\left(b x + a\right)}}\,{d x}"," ",0,"integrate(sin(b*x + a)/sqrt(d*tan(b*x + a)), x)","F",0
92,0,0,0,0.000000," ","integrate(csc(b*x+a)/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{\csc\left(b x + a\right)}{\sqrt{d \tan\left(b x + a\right)}}\,{d x}"," ",0,"integrate(csc(b*x + a)/sqrt(d*tan(b*x + a)), x)","F",0
93,0,0,0,0.000000," ","integrate(csc(b*x+a)^3/(d*tan(b*x+a))^(1/2),x, algorithm=""maxima"")","\int \frac{\csc\left(b x + a\right)^{3}}{\sqrt{d \tan\left(b x + a\right)}}\,{d x}"," ",0,"integrate(csc(b*x + a)^3/sqrt(d*tan(b*x + a)), x)","F",0
94,1,225,0,0.650434," ","integrate(sin(b*x+a)^4/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{3 \, d^{4} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} + \frac{8 \, {\left(3 \, \left(d \tan\left(b x + a\right)\right)^{\frac{7}{2}} d^{4} - \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{6}\right)}}{d^{4} \tan\left(b x + a\right)^{4} + 2 \, d^{4} \tan\left(b x + a\right)^{2} + d^{4}}}{128 \, b d^{5}}"," ",0,"1/128*(3*d^4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d)) + 8*(3*(d*tan(b*x + a))^(7/2)*d^4 - (d*tan(b*x + a))^(3/2)*d^6)/(d^4*tan(b*x + a)^4 + 2*d^4*tan(b*x + a)^2 + d^4))/(b*d^5)","A",0
95,1,193,0,0.838741," ","integrate(sin(b*x+a)^2/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} + \frac{8 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{2}}{d^{2} \tan\left(b x + a\right)^{2} + d^{2}}}{16 \, b d^{3}}"," ",0,"1/16*(d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d)) + 8*(d*tan(b*x + a))^(3/2)*d^2/(d^2*tan(b*x + a)^2 + d^2))/(b*d^3)","A",0
96,1,23,0,0.351908," ","integrate(csc(b*x+a)^2/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2}{5 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} b \tan\left(b x + a\right)}"," ",0,"-2/5/((d*tan(b*x + a))^(3/2)*b*tan(b*x + a))","A",0
97,1,35,0,0.445792," ","integrate(csc(b*x+a)^4/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(9 \, d^{2} \tan\left(b x + a\right)^{2} + 5 \, d^{2}\right)} d}{45 \, \left(d \tan\left(b x + a\right)\right)^{\frac{9}{2}} b}"," ",0,"-2/45*(9*d^2*tan(b*x + a)^2 + 5*d^2)*d/((d*tan(b*x + a))^(9/2)*b)","A",0
98,1,48,0,0.447852," ","integrate(csc(b*x+a)^6/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(117 \, d^{4} \tan\left(b x + a\right)^{4} + 130 \, d^{4} \tan\left(b x + a\right)^{2} + 45 \, d^{4}\right)} d}{585 \, \left(d \tan\left(b x + a\right)\right)^{\frac{13}{2}} b}"," ",0,"-2/585*(117*d^4*tan(b*x + a)^4 + 130*d^4*tan(b*x + a)^2 + 45*d^4)*d/((d*tan(b*x + a))^(13/2)*b)","A",0
99,0,0,0,0.000000," ","integrate(sin(b*x+a)^3/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{3}}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^3/(d*tan(b*x + a))^(3/2), x)","F",0
100,0,0,0,0.000000," ","integrate(sin(b*x+a)/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)/(d*tan(b*x + a))^(3/2), x)","F",0
101,0,0,0,0.000000," ","integrate(csc(b*x+a)/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\csc\left(b x + a\right)}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(b*x + a)/(d*tan(b*x + a))^(3/2), x)","F",0
102,0,0,0,0.000000," ","integrate(csc(b*x+a)^3/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\csc\left(b x + a\right)^{3}}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(csc(b*x + a)^3/(d*tan(b*x + a))^(3/2), x)","F",0
103,1,219,0,0.612886," ","integrate(sin(b*x+a)^4/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{6 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 6 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 3 \, \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - 3 \, \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) + \frac{8 \, {\left(\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} d^{4} - 3 \, \sqrt{d \tan\left(b x + a\right)} d^{6}\right)}}{d^{4} \tan\left(b x + a\right)^{4} + 2 \, d^{4} \tan\left(b x + a\right)^{2} + d^{4}}}{128 \, b d^{5}}"," ",0,"1/128*(6*sqrt(2)*d^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 6*sqrt(2)*d^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 3*sqrt(2)*d^(5/2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 3*sqrt(2)*d^(5/2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) + 8*((d*tan(b*x + a))^(5/2)*d^4 - 3*sqrt(d*tan(b*x + a))*d^6)/(d^4*tan(b*x + a)^4 + 2*d^4*tan(b*x + a)^2 + d^4))/(b*d^5)","A",0
104,1,189,0,0.650157," ","integrate(sin(b*x+a)^2/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\frac{6 \, \sqrt{2} \sqrt{d} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 6 \, \sqrt{2} \sqrt{d} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 3 \, \sqrt{2} \sqrt{d} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - 3 \, \sqrt{2} \sqrt{d} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) + \frac{8 \, \sqrt{d \tan\left(b x + a\right)} d^{2}}{d^{2} \tan\left(b x + a\right)^{2} + d^{2}}}{16 \, b d^{3}}"," ",0,"1/16*(6*sqrt(2)*sqrt(d)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 6*sqrt(2)*sqrt(d)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 3*sqrt(2)*sqrt(d)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 3*sqrt(2)*sqrt(d)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) + 8*sqrt(d*tan(b*x + a))*d^2/(d^2*tan(b*x + a)^2 + d^2))/(b*d^3)","A",0
105,1,23,0,0.479006," ","integrate(csc(b*x+a)^2/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2}{7 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} b \tan\left(b x + a\right)}"," ",0,"-2/7/((d*tan(b*x + a))^(5/2)*b*tan(b*x + a))","A",0
106,1,35,0,0.527236," ","integrate(csc(b*x+a)^4/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(11 \, d^{2} \tan\left(b x + a\right)^{2} + 7 \, d^{2}\right)} d}{77 \, \left(d \tan\left(b x + a\right)\right)^{\frac{11}{2}} b}"," ",0,"-2/77*(11*d^2*tan(b*x + a)^2 + 7*d^2)*d/((d*tan(b*x + a))^(11/2)*b)","A",0
107,1,48,0,0.326145," ","integrate(csc(b*x+a)^6/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(165 \, d^{4} \tan\left(b x + a\right)^{4} + 210 \, d^{4} \tan\left(b x + a\right)^{2} + 77 \, d^{4}\right)} d}{1155 \, \left(d \tan\left(b x + a\right)\right)^{\frac{15}{2}} b}"," ",0,"-2/1155*(165*d^4*tan(b*x + a)^4 + 210*d^4*tan(b*x + a)^2 + 77*d^4)*d/((d*tan(b*x + a))^(15/2)*b)","A",0
108,0,0,0,0.000000," ","integrate(sin(b*x+a)^7/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{7}}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^7/(d*tan(b*x + a))^(5/2), x)","F",0
109,0,0,0,0.000000," ","integrate(sin(b*x+a)^5/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{5}}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^5/(d*tan(b*x + a))^(5/2), x)","F",0
110,0,0,0,0.000000," ","integrate(sin(b*x+a)^3/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)^{3}}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)^3/(d*tan(b*x + a))^(5/2), x)","F",0
111,0,0,0,0.000000," ","integrate(sin(b*x+a)/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\sin\left(b x + a\right)}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sin(b*x + a)/(d*tan(b*x + a))^(5/2), x)","F",0
112,0,0,0,0.000000," ","integrate(csc(b*x+a)/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\csc\left(b x + a\right)}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(b*x + a)/(d*tan(b*x + a))^(5/2), x)","F",0
113,0,0,0,0.000000," ","integrate(csc(b*x+a)^3/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\csc\left(b x + a\right)^{3}}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(csc(b*x + a)^3/(d*tan(b*x + a))^(5/2), x)","F",0
114,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(5/2)*(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}} \sqrt{b \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(5/2)*sqrt(b*tan(f*x + e)), x)","F",0
115,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(3/2)*(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}} \sqrt{b \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(3/2)*sqrt(b*tan(f*x + e)), x)","F",0
116,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(1/2)*(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{a \sin\left(f x + e\right)} \sqrt{b \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate(sqrt(a*sin(f*x + e))*sqrt(b*tan(f*x + e)), x)","F",0
117,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(a*sin(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\sqrt{a \sin\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/sqrt(a*sin(f*x + e)), x)","F",0
118,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(a*sin(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/(a*sin(f*x + e))^(3/2), x)","F",0
119,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(a*sin(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/(a*sin(f*x + e))^(5/2), x)","F",0
120,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(5/2)*(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(5/2)*(b*tan(f*x + e))^(3/2), x)","F",0
121,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(3/2)*(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(3/2)*(b*tan(f*x + e))^(3/2), x)","F",0
122,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(1/2)*(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \sqrt{a \sin\left(f x + e\right)} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(a*sin(f*x + e))*(b*tan(f*x + e))^(3/2), x)","F",0
123,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(a*sin(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\sqrt{a \sin\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/sqrt(a*sin(f*x + e)), x)","F",0
124,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(a*sin(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/(a*sin(f*x + e))^(3/2), x)","F",0
125,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(a*sin(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/(a*sin(f*x + e))^(5/2), x)","F",0
126,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(9/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{9}{2}}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(9/2)/sqrt(b*tan(f*x + e)), x)","F",0
127,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(7/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{7}{2}}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(7/2)/sqrt(b*tan(f*x + e)), x)","F",0
128,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(5/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(5/2)/sqrt(b*tan(f*x + e)), x)","F",0
129,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(3/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(3/2)/sqrt(b*tan(f*x + e)), x)","F",0
130,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(1/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a \sin\left(f x + e\right)}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sqrt(a*sin(f*x + e))/sqrt(b*tan(f*x + e)), x)","F",0
131,0,0,0,0.000000," ","integrate(1/(a*sin(f*x+e))^(1/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a \sin\left(f x + e\right)} \sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(a*sin(f*x + e))*sqrt(b*tan(f*x + e))), x)","F",0
132,0,0,0,0.000000," ","integrate(1/(a*sin(f*x+e))^(3/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}} \sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/((a*sin(f*x + e))^(3/2)*sqrt(b*tan(f*x + e))), x)","F",0
133,0,0,0,0.000000," ","integrate(1/(a*sin(f*x+e))^(5/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}} \sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/((a*sin(f*x + e))^(5/2)*sqrt(b*tan(f*x + e))), x)","F",0
134,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(13/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{13}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(13/2)/(b*tan(f*x + e))^(3/2), x)","F",0
135,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(9/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{9}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(9/2)/(b*tan(f*x + e))^(3/2), x)","F",0
136,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(5/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(5/2)/(b*tan(f*x + e))^(3/2), x)","F",0
137,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(1/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{a \sin\left(f x + e\right)}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(a*sin(f*x + e))/(b*tan(f*x + e))^(3/2), x)","F",0
138,0,0,0,0.000000," ","integrate(1/(a*sin(f*x+e))^(3/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a*sin(f*x + e))^(3/2)*(b*tan(f*x + e))^(3/2)), x)","F",0
139,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(11/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{11}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(11/2)/(b*tan(f*x + e))^(3/2), x)","F",0
140,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(7/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{7}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(7/2)/(b*tan(f*x + e))^(3/2), x)","F",0
141,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(3/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(3/2)/(b*tan(f*x + e))^(3/2), x)","F",0
142,0,0,0,0.000000," ","integrate(1/(a*sin(f*x+e))^(1/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{a \sin\left(f x + e\right)} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(a*sin(f*x + e))*(b*tan(f*x + e))^(3/2)), x)","F",0
143,0,0,0,0.000000," ","integrate(1/(a*sin(f*x+e))^(5/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(a \sin\left(f x + e\right)\right)^{\frac{5}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a*sin(f*x + e))^(5/2)*(b*tan(f*x + e))^(3/2)), x)","F",0
144,0,0,0,0.000000," ","integrate(1/(a*sin(f*x+e))^(9/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(a \sin\left(f x + e\right)\right)^{\frac{9}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((a*sin(f*x + e))^(9/2)*(b*tan(f*x + e))^(3/2)), x)","F",0
145,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(4/3)*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{4}{3}} \sqrt{d \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(4/3)*sqrt(d*tan(f*x + e)), x)","F",0
146,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(1/3)*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}} \sqrt{d \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(1/3)*sqrt(d*tan(f*x + e)), x)","F",0
147,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(1/2)/(b*sin(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\sqrt{d \tan\left(f x + e\right)}}{\left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))/(b*sin(f*x + e))^(1/3), x)","F",0
148,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(1/2)/(b*sin(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\sqrt{d \tan\left(f x + e\right)}}{\left(b \sin\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))/(b*sin(f*x + e))^(4/3), x)","F",0
149,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(4/3)*(d*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{4}{3}} \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(4/3)*(d*tan(f*x + e))^(3/2), x)","F",0
150,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(1/3)*(d*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}} \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(1/3)*(d*tan(f*x + e))^(3/2), x)","F",0
151,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(3/2)/(b*sin(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \sin\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((d*tan(f*x + e))^(3/2)/(b*sin(f*x + e))^(1/3), x)","F",0
152,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(3/2)/(b*sin(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \sin\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((d*tan(f*x + e))^(3/2)/(b*sin(f*x + e))^(4/3), x)","F",0
153,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(1/2)*(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \sqrt{b \sin\left(f x + e\right)} \left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate(sqrt(b*sin(f*x + e))*(d*tan(f*x + e))^(4/3), x)","F",0
154,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(1/2)*(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \sqrt{b \sin\left(f x + e\right)} \left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate(sqrt(b*sin(f*x + e))*(d*tan(f*x + e))^(1/3), x)","F",0
155,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(1/2)/(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\sqrt{b \sin\left(f x + e\right)}}{\left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*sin(f*x + e))/(d*tan(f*x + e))^(1/3), x)","F",0
156,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(1/2)/(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\sqrt{b \sin\left(f x + e\right)}}{\left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*sin(f*x + e))/(d*tan(f*x + e))^(4/3), x)","F",0
157,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(3/2)*(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{3}{2}} \left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(3/2)*(d*tan(f*x + e))^(4/3), x)","F",0
158,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(3/2)*(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \left(b \sin\left(f x + e\right)\right)^{\frac{3}{2}} \left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(3/2)*(d*tan(f*x + e))^(1/3), x)","F",0
159,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(3/2)/(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\left(b \sin\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(3/2)/(d*tan(f*x + e))^(1/3), x)","F",0
160,0,0,0,0.000000," ","integrate((b*sin(f*x+e))^(3/2)/(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\left(b \sin\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*sin(f*x + e))^(3/2)/(d*tan(f*x + e))^(4/3), x)","F",0
161,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*tan(f*x+e)^3,x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*tan(f*x + e)^3, x)","F",0
162,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*tan(f*x+e),x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*tan(f*x + e), x)","F",0
163,1,18,0,0.514686," ","integrate(cot(f*x+e)*(a*sin(f*x+e))^m,x, algorithm=""maxima"")","\frac{a^{m} \sin\left(f x + e\right)^{m}}{f m}"," ",0,"a^m*sin(f*x + e)^m/(f*m)","A",0
164,1,47,0,0.562274," ","integrate(cot(f*x+e)^3*(a*sin(f*x+e))^m,x, algorithm=""maxima"")","-\frac{\frac{a^{m} \sin\left(f x + e\right)^{m}}{m} - \frac{a^{m} \sin\left(f x + e\right)^{m}}{{\left(m - 2\right)} \sin\left(f x + e\right)^{2}}}{f}"," ",0,"-(a^m*sin(f*x + e)^m/m - a^m*sin(f*x + e)^m/((m - 2)*sin(f*x + e)^2))/f","A",0
165,1,71,0,0.628592," ","integrate(cot(f*x+e)^5*(a*sin(f*x+e))^m,x, algorithm=""maxima"")","\frac{\frac{a^{m} \sin\left(f x + e\right)^{m}}{m} - \frac{2 \, a^{m} \sin\left(f x + e\right)^{m}}{{\left(m - 2\right)} \sin\left(f x + e\right)^{2}} + \frac{a^{m} \sin\left(f x + e\right)^{m}}{{\left(m - 4\right)} \sin\left(f x + e\right)^{4}}}{f}"," ",0,"(a^m*sin(f*x + e)^m/m - 2*a^m*sin(f*x + e)^m/((m - 2)*sin(f*x + e)^2) + a^m*sin(f*x + e)^m/((m - 4)*sin(f*x + e)^4))/f","A",0
166,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*tan(f*x+e)^4,x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*tan(f*x + e)^4, x)","F",0
167,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*tan(f*x + e)^2, x)","F",0
168,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(a*sin(f*x+e))^m,x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*cot(f*x + e)^2, x)","F",0
169,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(a*sin(f*x+e))^m,x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*cot(f*x + e)^4, x)","F",0
170,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}} \left(a \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)*(a*sin(f*x + e))^m, x)","F",0
171,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{b \tan\left(f x + e\right)} \left(a \sin\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))*(a*sin(f*x + e))^m, x)","F",0
172,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{m}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m/sqrt(b*tan(f*x + e)), x)","F",0
173,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(a \sin\left(f x + e\right)\right)^{m}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m/(b*tan(f*x + e))^(3/2), x)","F",0
174,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^m*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{m} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^m*(b*tan(f*x + e))^n, x)","F",0
175,0,0,0,0.000000," ","integrate(sin(f*x+e)^4*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*sin(f*x + e)^4, x)","F",0
176,0,0,0,0.000000," ","integrate(sin(f*x+e)^2*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*sin(f*x + e)^2, x)","F",0
177,1,28,0,0.424591," ","integrate(csc(f*x+e)^2*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\frac{b^{n} \tan\left(f x + e\right)^{n}}{f {\left(n - 1\right)} \tan\left(f x + e\right)}"," ",0,"b^n*tan(f*x + e)^n/(f*(n - 1)*tan(f*x + e))","A",0
178,1,55,0,0.667860," ","integrate(csc(f*x+e)^4*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\frac{\frac{b^{n} \tan\left(f x + e\right)^{n}}{{\left(n - 1\right)} \tan\left(f x + e\right)} + \frac{b^{n} \tan\left(f x + e\right)^{n}}{{\left(n - 3\right)} \tan\left(f x + e\right)^{3}}}{f}"," ",0,"(b^n*tan(f*x + e)^n/((n - 1)*tan(f*x + e)) + b^n*tan(f*x + e)^n/((n - 3)*tan(f*x + e)^3))/f","A",0
179,1,81,0,0.586370," ","integrate(csc(f*x+e)^6*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\frac{\frac{b^{n} \tan\left(f x + e\right)^{n}}{{\left(n - 1\right)} \tan\left(f x + e\right)} + \frac{2 \, b^{n} \tan\left(f x + e\right)^{n}}{{\left(n - 3\right)} \tan\left(f x + e\right)^{3}} + \frac{b^{n} \tan\left(f x + e\right)^{n}}{{\left(n - 5\right)} \tan\left(f x + e\right)^{5}}}{f}"," ",0,"(b^n*tan(f*x + e)^n/((n - 1)*tan(f*x + e)) + 2*b^n*tan(f*x + e)^n/((n - 3)*tan(f*x + e)^3) + b^n*tan(f*x + e)^n/((n - 5)*tan(f*x + e)^5))/f","A",0
180,0,0,0,0.000000," ","integrate(sin(f*x+e)^3*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*sin(f*x + e)^3, x)","F",0
181,0,0,0,0.000000," ","integrate(sin(f*x+e)*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \sin\left(f x + e\right)\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*sin(f*x + e), x)","F",0
182,0,0,0,0.000000," ","integrate(csc(f*x+e)*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*csc(f*x + e), x)","F",0
183,0,0,0,0.000000," ","integrate(csc(f*x+e)^3*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*csc(f*x + e)^3, x)","F",0
184,0,0,0,0.000000," ","integrate(csc(f*x+e)^5*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \csc\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*csc(f*x + e)^5, x)","F",0
185,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(3/2)*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*sin(f*x + e))^(3/2)*(b*tan(f*x + e))^n, x)","F",0
186,0,0,0,0.000000," ","integrate((a*sin(f*x+e))^(1/2)*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \sqrt{a \sin\left(f x + e\right)} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate(sqrt(a*sin(f*x + e))*(b*tan(f*x + e))^n, x)","F",0
187,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^n/(a*sin(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{n}}{\sqrt{a \sin\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n/sqrt(a*sin(f*x + e)), x)","F",0
188,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^n/(a*sin(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{n}}{\left(a \sin\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n/(a*sin(f*x + e))^(3/2), x)","F",0
189,0,0,0,0.000000," ","integrate((a*cos(f*x+e))^m*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(a \cos\left(f x + e\right)\right)^{m} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*cos(f*x + e))^m*(b*tan(f*x + e))^n, x)","F",0
190,0,0,0,0.000000," ","integrate((a*tan(f*x+e))^m*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(a \tan\left(f x + e\right)\right)^{m} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*tan(f*x + e))^m*(b*tan(f*x + e))^n, x)","F",0
191,1,207,0,0.458119," ","integrate((d*cot(f*x+e))^(1/2)*tan(f*x+e)^4,x, algorithm=""maxima"")","-\frac{d^{5} {\left(\frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)}}{d^{4}} - \frac{8 \, {\left(d^{2} - \frac{5 \, d^{2}}{\tan\left(f x + e\right)^{2}}\right)}}{d^{4} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{5}{2}}}\right)}}{20 \, f}"," ",0,"-1/20*d^5*(5*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^4 - 8*(d^2 - 5*d^2/tan(f*x + e)^2)/(d^4*(d/tan(f*x + e))^(5/2)))/f","A",0
192,1,190,0,0.630179," ","integrate((d*cot(f*x+e))^(1/2)*tan(f*x+e)^3,x, algorithm=""maxima"")","\frac{d^{4} {\left(\frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}\right)}}{d^{2}} + \frac{8}{d^{2} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}\right)}}{12 \, f}"," ",0,"1/12*d^4*(3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/d^2 + 8/(d^2*(d/tan(f*x + e))^(3/2)))/f","A",0
193,1,189,0,0.811786," ","integrate((d*cot(f*x+e))^(1/2)*tan(f*x+e)^2,x, algorithm=""maxima"")","\frac{d^{3} {\left(\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}}{d^{2}} + \frac{8}{d^{2} \sqrt{\frac{d}{\tan\left(f x + e\right)}}}\right)}}{4 \, f}"," ",0,"1/4*d^3*((2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^2 + 8/(d^2*sqrt(d/tan(f*x + e))))/f","A",0
194,1,167,0,0.748566," ","integrate((d*cot(f*x+e))^(1/2)*tan(f*x+e),x, algorithm=""maxima"")","-\frac{d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}\right)}}{4 \, f}"," ",0,"-1/4*d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/f","A",0
195,1,165,0,0.526742," ","integrate((d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{d {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)}}{4 \, f}"," ",0,"-1/4*d*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/f","A",0
196,1,178,0,0.805515," ","integrate(cot(f*x+e)*(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{2} \sqrt{d} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 2 \, \sqrt{2} \sqrt{d} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + \sqrt{2} \sqrt{d} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - \sqrt{2} \sqrt{d} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 8 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}}{4 \, f}"," ",0,"1/4*(2*sqrt(2)*sqrt(d)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 2*sqrt(2)*sqrt(d)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + sqrt(2)*sqrt(d)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - sqrt(2)*sqrt(d)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 8*sqrt(d/tan(f*x + e)))/f","A",0
197,1,187,0,0.939636," ","integrate(cot(f*x+e)^2*(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{3 \, d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)} - 8 \, \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}{12 \, d f}"," ",0,"1/12*(3*d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d)) - 8*(d/tan(f*x + e))^(3/2))/(d*f)","A",0
198,1,199,0,0.562406," ","integrate(cot(f*x+e)^3*(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{10 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 10 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 5 \, \sqrt{2} d^{\frac{5}{2}} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 5 \, \sqrt{2} d^{\frac{5}{2}} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 40 \, d^{2} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + 8 \, \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{5}{2}}}{20 \, d^{2} f}"," ",0,"-1/20*(10*sqrt(2)*d^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 10*sqrt(2)*d^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 5*sqrt(2)*d^(5/2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 5*sqrt(2)*d^(5/2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 40*d^2*sqrt(d/tan(f*x + e)) + 8*(d/tan(f*x + e))^(5/2))/(d^2*f)","A",0
199,1,207,0,0.546170," ","integrate((d*cot(f*x+e))^(3/2)*tan(f*x+e)^5,x, algorithm=""maxima"")","-\frac{d^{6} {\left(\frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)}}{d^{4}} - \frac{8 \, {\left(d^{2} - \frac{5 \, d^{2}}{\tan\left(f x + e\right)^{2}}\right)}}{d^{4} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{5}{2}}}\right)}}{20 \, f}"," ",0,"-1/20*d^6*(5*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^4 - 8*(d^2 - 5*d^2/tan(f*x + e)^2)/(d^4*(d/tan(f*x + e))^(5/2)))/f","A",0
200,1,190,0,0.592427," ","integrate((d*cot(f*x+e))^(3/2)*tan(f*x+e)^4,x, algorithm=""maxima"")","\frac{d^{5} {\left(\frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}\right)}}{d^{2}} + \frac{8}{d^{2} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}\right)}}{12 \, f}"," ",0,"1/12*d^5*(3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/d^2 + 8/(d^2*(d/tan(f*x + e))^(3/2)))/f","A",0
201,1,189,0,0.491063," ","integrate((d*cot(f*x+e))^(3/2)*tan(f*x+e)^3,x, algorithm=""maxima"")","\frac{d^{4} {\left(\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}}{d^{2}} + \frac{8}{d^{2} \sqrt{\frac{d}{\tan\left(f x + e\right)}}}\right)}}{4 \, f}"," ",0,"1/4*d^4*((2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^2 + 8/(d^2*sqrt(d/tan(f*x + e))))/f","A",0
202,1,167,0,0.569968," ","integrate((d*cot(f*x+e))^(3/2)*tan(f*x+e)^2,x, algorithm=""maxima"")","-\frac{d^{3} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}\right)}}{4 \, f}"," ",0,"-1/4*d^3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/f","A",0
203,1,167,0,0.914370," ","integrate((d*cot(f*x+e))^(3/2)*tan(f*x+e),x, algorithm=""maxima"")","-\frac{d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)}}{4 \, f}"," ",0,"-1/4*d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/f","A",0
204,1,179,0,0.519019," ","integrate((d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{{\left(2 \, \sqrt{2} \sqrt{d} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 2 \, \sqrt{2} \sqrt{d} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + \sqrt{2} \sqrt{d} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - \sqrt{2} \sqrt{d} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 8 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)} d}{4 \, f}"," ",0,"1/4*(2*sqrt(2)*sqrt(d)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 2*sqrt(2)*sqrt(d)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + sqrt(2)*sqrt(d)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - sqrt(2)*sqrt(d)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 8*sqrt(d/tan(f*x + e)))*d/f","A",0
205,1,184,0,0.504972," ","integrate(cot(f*x+e)*(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{3 \, d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)} - 8 \, \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}{12 \, f}"," ",0,"1/12*(3*d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d)) - 8*(d/tan(f*x + e))^(3/2))/f","A",0
206,1,199,0,0.514385," ","integrate(cot(f*x+e)^2*(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{10 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 10 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 5 \, \sqrt{2} d^{\frac{5}{2}} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 5 \, \sqrt{2} d^{\frac{5}{2}} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 40 \, d^{2} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + 8 \, \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{5}{2}}}{20 \, d f}"," ",0,"-1/20*(10*sqrt(2)*d^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 10*sqrt(2)*d^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 5*sqrt(2)*d^(5/2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 5*sqrt(2)*d^(5/2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 40*d^2*sqrt(d/tan(f*x + e)) + 8*(d/tan(f*x + e))^(5/2))/(d*f)","A",0
207,1,207,0,0.482868," ","integrate(tan(f*x+e)^3/(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{d^{4} {\left(\frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)}}{d^{4}} - \frac{8 \, {\left(d^{2} - \frac{5 \, d^{2}}{\tan\left(f x + e\right)^{2}}\right)}}{d^{4} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{5}{2}}}\right)}}{20 \, f}"," ",0,"-1/20*d^4*(5*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^4 - 8*(d^2 - 5*d^2/tan(f*x + e)^2)/(d^4*(d/tan(f*x + e))^(5/2)))/f","A",0
208,1,190,0,0.770809," ","integrate(tan(f*x+e)^2/(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{d^{3} {\left(\frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}\right)}}{d^{2}} + \frac{8}{d^{2} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}\right)}}{12 \, f}"," ",0,"1/12*d^3*(3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/d^2 + 8/(d^2*(d/tan(f*x + e))^(3/2)))/f","A",0
209,1,189,0,0.912883," ","integrate(tan(f*x+e)/(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{d^{2} {\left(\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}}{d^{2}} + \frac{8}{d^{2} \sqrt{\frac{d}{\tan\left(f x + e\right)}}}\right)}}{4 \, f}"," ",0,"1/4*d^2*((2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^2 + 8/(d^2*sqrt(d/tan(f*x + e))))/f","A",0
210,1,165,0,0.431563," ","integrate(1/(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{d {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}\right)}}{4 \, f}"," ",0,"-1/4*d*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/f","A",0
211,1,164,0,0.667635," ","integrate(cot(f*x+e)/(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}}{4 \, f}"," ",0,"-1/4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/f","A",0
212,1,181,0,0.656920," ","integrate(cot(f*x+e)^2/(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{2} \sqrt{d} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 2 \, \sqrt{2} \sqrt{d} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + \sqrt{2} \sqrt{d} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - \sqrt{2} \sqrt{d} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 8 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}}{4 \, d f}"," ",0,"1/4*(2*sqrt(2)*sqrt(d)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 2*sqrt(2)*sqrt(d)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + sqrt(2)*sqrt(d)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - sqrt(2)*sqrt(d)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 8*sqrt(d/tan(f*x + e)))/(d*f)","A",0
213,1,187,0,0.812037," ","integrate(cot(f*x+e)^3/(d*cot(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{3 \, d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)} - 8 \, \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}{12 \, d^{2} f}"," ",0,"1/12*(3*d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d)) - 8*(d/tan(f*x + e))^(3/2))/(d^2*f)","A",0
214,1,207,0,0.651925," ","integrate(tan(f*x+e)^2/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{d^{3} {\left(\frac{5 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)}}{d^{4}} - \frac{8 \, {\left(d^{2} - \frac{5 \, d^{2}}{\tan\left(f x + e\right)^{2}}\right)}}{d^{4} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{5}{2}}}\right)}}{20 \, f}"," ",0,"-1/20*d^3*(5*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^4 - 8*(d^2 - 5*d^2/tan(f*x + e)^2)/(d^4*(d/tan(f*x + e))^(5/2)))/f","A",0
215,1,190,0,0.737773," ","integrate(tan(f*x+e)/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{d^{2} {\left(\frac{3 \, {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}\right)}}{d^{2}} + \frac{8}{d^{2} \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}\right)}}{12 \, f}"," ",0,"1/12*d^2*(3*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/d^2 + 8/(d^2*(d/tan(f*x + e))^(3/2)))/f","A",0
216,1,187,0,0.698344," ","integrate(1/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{d {\left(\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}}{d^{2}} + \frac{8}{d^{2} \sqrt{\frac{d}{\tan\left(f x + e\right)}}}\right)}}{4 \, f}"," ",0,"1/4*d*((2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/d^2 + 8/(d^2*sqrt(d/tan(f*x + e))))/f","A",0
217,1,164,0,0.482924," ","integrate(cot(f*x+e)/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{d^{\frac{3}{2}}} + \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}} - \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{d^{\frac{3}{2}}}}{4 \, f}"," ",0,"-1/4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/d^(3/2) + sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2) - sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/d^(3/2))/f","A",0
218,1,167,0,0.795519," ","integrate(cot(f*x+e)^2/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}}{4 \, d f}"," ",0,"-1/4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d))/(d*f)","A",0
219,1,181,0,0.693870," ","integrate(cot(f*x+e)^3/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{2} \sqrt{d} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 2 \, \sqrt{2} \sqrt{d} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + \sqrt{2} \sqrt{d} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - \sqrt{2} \sqrt{d} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 8 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}}{4 \, d^{2} f}"," ",0,"1/4*(2*sqrt(2)*sqrt(d)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 2*sqrt(2)*sqrt(d)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + sqrt(2)*sqrt(d)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - sqrt(2)*sqrt(d)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 8*sqrt(d/tan(f*x + e)))/(d^2*f)","A",0
220,1,187,0,0.625779," ","integrate(cot(f*x+e)^4/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","\frac{3 \, d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right)}{\sqrt{d}}\right)} - 8 \, \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{3}{2}}}{12 \, d^{3} f}"," ",0,"1/12*(3*d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d) + sqrt(2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e))/sqrt(d)) - 8*(d/tan(f*x + e))^(3/2))/(d^3*f)","A",0
221,1,199,0,0.915402," ","integrate(cot(f*x+e)^5/(d*cot(f*x+e))^(3/2),x, algorithm=""maxima"")","-\frac{10 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 10 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{\frac{d}{\tan\left(f x + e\right)}}\right)}}{2 \, \sqrt{d}}\right) + 5 \, \sqrt{2} d^{\frac{5}{2}} \log\left(\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 5 \, \sqrt{2} d^{\frac{5}{2}} \log\left(-\sqrt{2} \sqrt{d} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + d + \frac{d}{\tan\left(f x + e\right)}\right) - 40 \, d^{2} \sqrt{\frac{d}{\tan\left(f x + e\right)}} + 8 \, \left(\frac{d}{\tan\left(f x + e\right)}\right)^{\frac{5}{2}}}{20 \, d^{4} f}"," ",0,"-1/20*(10*sqrt(2)*d^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 10*sqrt(2)*d^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d/tan(f*x + e)))/sqrt(d)) + 5*sqrt(2)*d^(5/2)*log(sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 5*sqrt(2)*d^(5/2)*log(-sqrt(2)*sqrt(d)*sqrt(d/tan(f*x + e)) + d + d/tan(f*x + e)) - 40*d^2*sqrt(d/tan(f*x + e)) + 8*(d/tan(f*x + e))^(5/2))/(d^4*f)","A",0
222,0,0,0,0.000000," ","integrate(cot(f*x+e)^m*tan(f*x+e)^n,x, algorithm=""maxima"")","\int \cot\left(f x + e\right)^{m} \tan\left(f x + e\right)^{n}\,{d x}"," ",0,"integrate(cot(f*x + e)^m*tan(f*x + e)^n, x)","F",0
223,0,0,0,0.000000," ","integrate(cot(f*x+e)^m*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(b \tan\left(f x + e\right)\right)^{n} \cot\left(f x + e\right)^{m}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^n*cot(f*x + e)^m, x)","F",0
224,0,0,0,0.000000," ","integrate((a*cot(f*x+e))^m*tan(f*x+e)^n,x, algorithm=""maxima"")","\int \left(a \cot\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{n}\,{d x}"," ",0,"integrate((a*cot(f*x + e))^m*tan(f*x + e)^n, x)","F",0
225,0,0,0,0.000000," ","integrate((a*cot(f*x+e))^m*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(a \cot\left(f x + e\right)\right)^{m} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*cot(f*x + e))^m*(b*tan(f*x + e))^n, x)","F",0
226,1,51,0,0.319575," ","integrate(sec(f*x+e)^6*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(21 \, \left(d \tan\left(f x + e\right)\right)^{\frac{11}{2}} + 66 \, \left(d \tan\left(f x + e\right)\right)^{\frac{7}{2}} d^{2} + 77 \, \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}} d^{4}\right)}}{231 \, d^{5} f}"," ",0,"2/231*(21*(d*tan(f*x + e))^(11/2) + 66*(d*tan(f*x + e))^(7/2)*d^2 + 77*(d*tan(f*x + e))^(3/2)*d^4)/(d^5*f)","A",0
227,1,36,0,0.327739," ","integrate(sec(f*x+e)^4*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, {\left(3 \, \left(d \tan\left(f x + e\right)\right)^{\frac{7}{2}} + 7 \, \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}} d^{2}\right)}}{21 \, d^{3} f}"," ",0,"2/21*(3*(d*tan(f*x + e))^(7/2) + 7*(d*tan(f*x + e))^(3/2)*d^2)/(d^3*f)","A",0
228,1,18,0,0.460820," ","integrate(sec(f*x+e)^2*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{2 \, \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{3 \, d f}"," ",0,"2/3*(d*tan(f*x + e))^(3/2)/(d*f)","A",0
229,1,153,0,0.855706," ","integrate((d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{d {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) + \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) - \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)}}{4 \, f}"," ",0,"1/4*d*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(f*x + e) + sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(f*x + e) - sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d))/f","A",0
230,1,193,0,0.753335," ","integrate(cos(f*x+e)^2*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\frac{d^{2} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) + \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) - \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} + \frac{8 \, \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}} d^{2}}{d^{2} \tan\left(f x + e\right)^{2} + d^{2}}}{16 \, d f}"," ",0,"1/16*(d^2*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(f*x + e) + sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(f*x + e) - sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d)) + 8*(d*tan(f*x + e))^(3/2)*d^2/(d^2*tan(f*x + e)^2 + d^2))/(d*f)","A",0
231,0,0,0,0.000000," ","integrate(sec(f*x+e)^3*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(f x + e\right)} \sec\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))*sec(f*x + e)^3, x)","F",0
232,0,0,0,0.000000," ","integrate(sec(f*x+e)*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(f x + e\right)} \sec\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))*sec(f*x + e), x)","F",0
233,0,0,0,0.000000," ","integrate(cos(f*x+e)*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(f x + e\right)} \cos\left(f x + e\right)\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))*cos(f*x + e), x)","F",0
234,0,0,0,0.000000," ","integrate(cos(f*x+e)^3*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(f x + e\right)} \cos\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))*cos(f*x + e)^3, x)","F",0
235,0,0,0,0.000000," ","integrate(cos(f*x+e)^5*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(f x + e\right)} \cos\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))*cos(f*x + e)^5, x)","F",0
236,1,51,0,0.430001," ","integrate(sec(b*x+a)^6*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(45 \, \left(d \tan\left(b x + a\right)\right)^{\frac{13}{2}} + 130 \, \left(d \tan\left(b x + a\right)\right)^{\frac{9}{2}} d^{2} + 117 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} d^{4}\right)}}{585 \, b d^{5}}"," ",0,"2/585*(45*(d*tan(b*x + a))^(13/2) + 130*(d*tan(b*x + a))^(9/2)*d^2 + 117*(d*tan(b*x + a))^(5/2)*d^4)/(b*d^5)","A",0
237,1,36,0,0.322389," ","integrate(sec(b*x+a)^4*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, {\left(5 \, \left(d \tan\left(b x + a\right)\right)^{\frac{9}{2}} + 9 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} d^{2}\right)}}{45 \, b d^{3}}"," ",0,"2/45*(5*(d*tan(b*x + a))^(9/2) + 9*(d*tan(b*x + a))^(5/2)*d^2)/(b*d^3)","A",0
238,1,18,0,0.694957," ","integrate(sec(b*x+a)^2*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, \left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}{5 \, b d}"," ",0,"2/5*(d*tan(b*x + a))^(5/2)/(b*d)","A",0
239,1,170,0,0.842226," ","integrate((d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 2 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - 8 \, \sqrt{d \tan\left(b x + a\right)} d^{2}}{4 \, b d}"," ",0,"-1/4*(2*sqrt(2)*d^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 2*sqrt(2)*d^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + sqrt(2)*d^(5/2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - sqrt(2)*d^(5/2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 8*sqrt(d*tan(b*x + a))*d^2)/(b*d)","A",0
240,1,188,0,0.614054," ","integrate(cos(b*x+a)^2*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\frac{2 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + 2 \, \sqrt{2} d^{\frac{5}{2}} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right) + \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - \sqrt{2} d^{\frac{5}{2}} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right) - \frac{8 \, \sqrt{d \tan\left(b x + a\right)} d^{4}}{d^{2} \tan\left(b x + a\right)^{2} + d^{2}}}{16 \, b d}"," ",0,"1/16*(2*sqrt(2)*d^(5/2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + 2*sqrt(2)*d^(5/2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d)) + sqrt(2)*d^(5/2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - sqrt(2)*d^(5/2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d) - 8*sqrt(d*tan(b*x + a))*d^4/(d^2*tan(b*x + a)^2 + d^2))/(b*d)","A",0
241,0,0,0,0.000000," ","integrate(sec(b*x+a)^5*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \sec\left(b x + a\right)^{5}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*sec(b*x + a)^5, x)","F",0
242,0,0,0,0.000000," ","integrate(sec(b*x+a)^3*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*sec(b*x + a)^3, x)","F",0
243,0,0,0,0.000000," ","integrate(sec(b*x+a)*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*sec(b*x + a), x)","F",0
244,0,0,0,0.000000," ","integrate(cos(b*x+a)*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \cos\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*cos(b*x + a), x)","F",0
245,0,0,0,0.000000," ","integrate(cos(b*x+a)^3*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \cos\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*cos(b*x + a)^3, x)","F",0
246,0,0,0,0.000000," ","integrate(cos(b*x+a)^5*(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} \cos\left(b x + a\right)^{5}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^(3/2)*cos(b*x + a)^5, x)","F",0
247,1,51,0,0.655452," ","integrate(sec(f*x+e)^6*(d*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(77 \, \left(d \tan\left(f x + e\right)\right)^{\frac{15}{2}} + 210 \, \left(d \tan\left(f x + e\right)\right)^{\frac{11}{2}} d^{2} + 165 \, \left(d \tan\left(f x + e\right)\right)^{\frac{7}{2}} d^{4}\right)}}{1155 \, d^{5} f}"," ",0,"2/1155*(77*(d*tan(f*x + e))^(15/2) + 210*(d*tan(f*x + e))^(11/2)*d^2 + 165*(d*tan(f*x + e))^(7/2)*d^4)/(d^5*f)","A",0
248,1,36,0,0.328786," ","integrate(sec(f*x+e)^4*(d*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{2 \, {\left(7 \, \left(d \tan\left(f x + e\right)\right)^{\frac{11}{2}} + 11 \, \left(d \tan\left(f x + e\right)\right)^{\frac{7}{2}} d^{2}\right)}}{77 \, d^{3} f}"," ",0,"2/77*(7*(d*tan(f*x + e))^(11/2) + 11*(d*tan(f*x + e))^(7/2)*d^2)/(d^3*f)","A",0
249,1,18,0,0.325376," ","integrate(sec(f*x+e)^2*(d*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{2 \, \left(d \tan\left(f x + e\right)\right)^{\frac{7}{2}}}{7 \, d f}"," ",0,"2/7*(d*tan(f*x + e))^(7/2)/(d*f)","A",0
250,1,176,0,0.586658," ","integrate((d*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","-\frac{3 \, d^{4} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) + \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) - \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} - 8 \, \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}} d^{2}}{12 \, d f}"," ",0,"-1/12*(3*d^4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(f*x + e) + sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(f*x + e) - sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d)) - 8*(d*tan(f*x + e))^(3/2)*d^2)/(d*f)","A",0
251,1,194,0,0.730637," ","integrate(cos(f*x+e)^2*(d*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{3 \, d^{4} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) + \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) - \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} - \frac{8 \, \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}} d^{4}}{d^{2} \tan\left(f x + e\right)^{2} + d^{2}}}{16 \, d f}"," ",0,"1/16*(3*d^4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(f*x + e) + sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(f*x + e) - sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d)) - 8*(d*tan(f*x + e))^(3/2)*d^4/(d^2*tan(f*x + e)^2 + d^2))/(d*f)","A",0
252,1,225,0,0.795753," ","integrate(cos(f*x+e)^4*(d*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\frac{3 \, d^{4} {\left(\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(f x + e\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) + \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(f x + e\right) - \sqrt{2} \sqrt{d \tan\left(f x + e\right)} \sqrt{d} + d\right)}{\sqrt{d}}\right)} + \frac{8 \, {\left(3 \, \left(d \tan\left(f x + e\right)\right)^{\frac{7}{2}} d^{4} - \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}} d^{6}\right)}}{d^{4} \tan\left(f x + e\right)^{4} + 2 \, d^{4} \tan\left(f x + e\right)^{2} + d^{4}}}{128 \, d f}"," ",0,"1/128*(3*d^4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(f*x + e)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(f*x + e) + sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(f*x + e) - sqrt(2)*sqrt(d*tan(f*x + e))*sqrt(d) + d)/sqrt(d)) + 8*(3*(d*tan(f*x + e))^(7/2)*d^4 - (d*tan(f*x + e))^(3/2)*d^6)/(d^4*tan(f*x + e)^4 + 2*d^4*tan(f*x + e)^2 + d^4))/(d*f)","A",0
253,0,0,0,0.000000," ","integrate(sec(f*x+e)^5/(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\sec\left(f x + e\right)^{5}}{\sqrt{d \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sec(f*x + e)^5/sqrt(d*tan(f*x + e)), x)","F",0
254,0,0,0,0.000000," ","integrate(sec(f*x+e)^3/(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\sec\left(f x + e\right)^{3}}{\sqrt{d \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sec(f*x + e)^3/sqrt(d*tan(f*x + e)), x)","F",0
255,0,0,0,0.000000," ","integrate(sec(f*x+e)/(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\sec\left(f x + e\right)}{\sqrt{d \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sec(f*x + e)/sqrt(d*tan(f*x + e)), x)","F",0
256,0,0,0,0.000000," ","integrate(cos(f*x+e)/(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\cos\left(f x + e\right)}{\sqrt{d \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(cos(f*x + e)/sqrt(d*tan(f*x + e)), x)","F",0
257,0,0,0,0.000000," ","integrate(cos(f*x+e)^3/(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\cos\left(f x + e\right)^{3}}{\sqrt{d \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(cos(f*x + e)^3/sqrt(d*tan(f*x + e)), x)","F",0
258,1,54,0,0.438707," ","integrate(sec(b*x+a)^6/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{21}{\sqrt{d \tan\left(b x + a\right)}} - \frac{3 \, \left(d \tan\left(b x + a\right)\right)^{\frac{7}{2}} + 14 \, \left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}} d^{2}}{d^{4}}\right)}}{21 \, b d}"," ",0,"-2/21*(21/sqrt(d*tan(b*x + a)) - (3*(d*tan(b*x + a))^(7/2) + 14*(d*tan(b*x + a))^(3/2)*d^2)/d^4)/(b*d)","A",0
259,1,36,0,0.715988," ","integrate(sec(b*x+a)^4/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2 \, {\left(\frac{3}{\sqrt{d \tan\left(b x + a\right)}} - \frac{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}{d^{2}}\right)}}{3 \, b d}"," ",0,"-2/3*(3/sqrt(d*tan(b*x + a)) - (d*tan(b*x + a))^(3/2)/d^2)/(b*d)","A",0
260,1,18,0,0.409592," ","integrate(sec(b*x+a)^2/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{2}{\sqrt{d \tan\left(b x + a\right)} b d}"," ",0,"-2/(sqrt(d*tan(b*x + a))*b*d)","A",0
261,1,167,0,0.516271," ","integrate(1/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{\frac{2 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{2 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{\sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{8}{\sqrt{d \tan\left(b x + a\right)}}}{4 \, b d}"," ",0,"-1/4*(2*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 2*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + 8/sqrt(d*tan(b*x + a)))/(b*d)","A",0
262,1,204,0,0.727923," ","integrate(cos(b*x+a)^2/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","-\frac{\frac{10 \, \sqrt{2} \arctan\left(\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} + 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} + \frac{10 \, \sqrt{2} \arctan\left(-\frac{\sqrt{2} {\left(\sqrt{2} \sqrt{d} - 2 \, \sqrt{d \tan\left(b x + a\right)}\right)}}{2 \, \sqrt{d}}\right)}{\sqrt{d}} - \frac{5 \, \sqrt{2} \log\left(d \tan\left(b x + a\right) + \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{5 \, \sqrt{2} \log\left(d \tan\left(b x + a\right) - \sqrt{2} \sqrt{d \tan\left(b x + a\right)} \sqrt{d} + d\right)}{\sqrt{d}} + \frac{8 \, {\left(5 \, d^{2} \tan\left(b x + a\right)^{2} + 4 \, d^{2}\right)}}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}} + \sqrt{d \tan\left(b x + a\right)} d^{2}}}{16 \, b d}"," ",0,"-1/16*(10*sqrt(2)*arctan(1/2*sqrt(2)*(sqrt(2)*sqrt(d) + 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) + 10*sqrt(2)*arctan(-1/2*sqrt(2)*(sqrt(2)*sqrt(d) - 2*sqrt(d*tan(b*x + a)))/sqrt(d))/sqrt(d) - 5*sqrt(2)*log(d*tan(b*x + a) + sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + 5*sqrt(2)*log(d*tan(b*x + a) - sqrt(2)*sqrt(d*tan(b*x + a))*sqrt(d) + d)/sqrt(d) + 8*(5*d^2*tan(b*x + a)^2 + 4*d^2)/((d*tan(b*x + a))^(5/2) + sqrt(d*tan(b*x + a))*d^2))/(b*d)","A",0
263,0,0,0,0.000000," ","integrate(sec(b*x+a)^5/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\sec\left(b x + a\right)^{5}}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^5/(d*tan(b*x + a))^(3/2), x)","F",0
264,0,0,0,0.000000," ","integrate(sec(b*x+a)^3/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\sec\left(b x + a\right)^{3}}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^3/(d*tan(b*x + a))^(3/2), x)","F",0
265,0,0,0,0.000000," ","integrate(sec(b*x+a)/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\sec\left(b x + a\right)}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)/(d*tan(b*x + a))^(3/2), x)","F",0
266,0,0,0,0.000000," ","integrate(cos(b*x+a)/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x + a)/(d*tan(b*x + a))^(3/2), x)","F",0
267,0,0,0,0.000000," ","integrate(cos(b*x+a)^3/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{3}}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^3/(d*tan(b*x + a))^(3/2), x)","F",0
268,0,0,0,0.000000," ","integrate(cos(b*x+a)^5/(d*tan(b*x+a))^(3/2),x, algorithm=""maxima"")","\int \frac{\cos\left(b x + a\right)^{5}}{\left(d \tan\left(b x + a\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(cos(b*x + a)^5/(d*tan(b*x + a))^(3/2), x)","F",0
269,0,0,0,0.000000," ","integrate(sec(b*x+a)/(d*tan(b*x+a))^(5/2),x, algorithm=""maxima"")","\int \frac{\sec\left(b x + a\right)}{\left(d \tan\left(b x + a\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)/(d*tan(b*x + a))^(5/2), x)","F",0
270,0,0,0,0.000000," ","integrate(sec(b*x+a)^3/(d*tan(b*x+a))^(7/2),x, algorithm=""maxima"")","\int \frac{\sec\left(b x + a\right)^{3}}{\left(d \tan\left(b x + a\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sec(b*x + a)^3/(d*tan(b*x + a))^(7/2), x)","F",0
271,0,0,0,0.000000," ","integrate(sec(f*x+e)^(4/3)*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \sec\left(f x + e\right)^{\frac{4}{3}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sec(f*x + e)^(4/3)*tan(f*x + e)^2, x)","F",0
272,0,0,0,0.000000," ","integrate(sec(f*x+e)^(2/3)*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \sec\left(f x + e\right)^{\frac{2}{3}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sec(f*x + e)^(2/3)*tan(f*x + e)^2, x)","F",0
273,0,0,0,0.000000," ","integrate(sec(f*x+e)^(1/3)*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \sec\left(f x + e\right)^{\frac{1}{3}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate(sec(f*x + e)^(1/3)*tan(f*x + e)^2, x)","F",0
274,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/sec(f*x+e)^(1/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{2}}{\sec\left(f x + e\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/sec(f*x + e)^(1/3), x)","F",0
275,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/sec(f*x+e)^(2/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{2}}{\sec\left(f x + e\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/sec(f*x + e)^(2/3), x)","F",0
276,-1,0,0,0.000000," ","integrate(sec(f*x+e)^(4/3)*tan(f*x+e)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
277,0,0,0,0.000000," ","integrate(sec(f*x+e)^(2/3)*tan(f*x+e)^4,x, algorithm=""maxima"")","\int \sec\left(f x + e\right)^{\frac{2}{3}} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sec(f*x + e)^(2/3)*tan(f*x + e)^4, x)","F",0
278,0,0,0,0.000000," ","integrate(sec(f*x+e)^(1/3)*tan(f*x+e)^4,x, algorithm=""maxima"")","\int \sec\left(f x + e\right)^{\frac{1}{3}} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate(sec(f*x + e)^(1/3)*tan(f*x + e)^4, x)","F",0
279,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/sec(f*x+e)^(1/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{4}}{\sec\left(f x + e\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/sec(f*x + e)^(1/3), x)","F",0
280,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/sec(f*x+e)^(2/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{4}}{\sec\left(f x + e\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/sec(f*x + e)^(2/3), x)","F",0
281,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(4/3)*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{4}{3}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(4/3)*tan(f*x + e)^2, x)","F",0
282,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(2/3)*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{2}{3}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(2/3)*tan(f*x + e)^2, x)","F",0
283,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/3)*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{1}{3}} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(1/3)*tan(f*x + e)^2, x)","F",0
284,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(d*sec(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{2}}{\left(d \sec\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/(d*sec(f*x + e))^(1/3), x)","F",0
285,0,0,0,0.000000," ","integrate(tan(f*x+e)^2/(d*sec(f*x+e))^(2/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{2}}{\left(d \sec\left(f x + e\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^2/(d*sec(f*x + e))^(2/3), x)","F",0
286,-1,0,0,0.000000," ","integrate((d*sec(f*x+e))^(4/3)*tan(f*x+e)^4,x, algorithm=""maxima"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
287,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(2/3)*tan(f*x+e)^4,x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{2}{3}} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(2/3)*tan(f*x + e)^4, x)","F",0
288,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/3)*tan(f*x+e)^4,x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{1}{3}} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(1/3)*tan(f*x + e)^4, x)","F",0
289,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(d*sec(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{4}}{\left(d \sec\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/(d*sec(f*x + e))^(1/3), x)","F",0
290,0,0,0,0.000000," ","integrate(tan(f*x+e)^4/(d*sec(f*x+e))^(2/3),x, algorithm=""maxima"")","\int \frac{\tan\left(f x + e\right)^{4}}{\left(d \sec\left(f x + e\right)\right)^{\frac{2}{3}}}\,{d x}"," ",0,"integrate(tan(f*x + e)^4/(d*sec(f*x + e))^(2/3), x)","F",0
291,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(5/2)*(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sqrt{b \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(5/2)*sqrt(b*tan(f*x + e)), x)","F",0
292,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(3/2)*(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sqrt{b \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(3/2)*sqrt(b*tan(f*x + e)), x)","F",0
293,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/2)*(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \sec\left(f x + e\right)} \sqrt{b \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate(sqrt(d*sec(f*x + e))*sqrt(b*tan(f*x + e)), x)","F",0
294,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(d*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\sqrt{d \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/sqrt(d*sec(f*x + e)), x)","F",0
295,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(d*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/(d*sec(f*x + e))^(3/2), x)","F",0
296,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(d*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/(d*sec(f*x + e))^(5/2), x)","F",0
297,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(d*sec(f*x+e))^(7/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\left(d \sec\left(f x + e\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/(d*sec(f*x + e))^(7/2), x)","F",0
298,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(1/2)/(d*sec(f*x+e))^(9/2),x, algorithm=""maxima"")","\int \frac{\sqrt{b \tan\left(f x + e\right)}}{\left(d \sec\left(f x + e\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate(sqrt(b*tan(f*x + e))/(d*sec(f*x + e))^(9/2), x)","F",0
299,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(5/2)*(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(5/2)*(b*tan(f*x + e))^(3/2), x)","F",0
300,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(3/2)*(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(3/2)*(b*tan(f*x + e))^(3/2), x)","F",0
301,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/2)*(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \sqrt{d \sec\left(f x + e\right)} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate(sqrt(d*sec(f*x + e))*(b*tan(f*x + e))^(3/2), x)","F",0
302,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(d*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\sqrt{d \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/sqrt(d*sec(f*x + e)), x)","F",0
303,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(d*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/(d*sec(f*x + e))^(3/2), x)","F",0
304,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(d*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/(d*sec(f*x + e))^(5/2), x)","F",0
305,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(d*sec(f*x+e))^(7/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/(d*sec(f*x + e))^(7/2), x)","F",0
306,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(3/2)/(d*sec(f*x+e))^(9/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(3/2)/(d*sec(f*x + e))^(9/2), x)","F",0
307,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(5/2)*(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(5/2)*(b*tan(f*x + e))^(5/2), x)","F",0
308,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(3/2)*(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(3/2)*(b*tan(f*x + e))^(5/2), x)","F",0
309,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/2)*(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \sqrt{d \sec\left(f x + e\right)} \left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate(sqrt(d*sec(f*x + e))*(b*tan(f*x + e))^(5/2), x)","F",0
310,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(5/2)/(d*sec(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}{\sqrt{d \sec\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(5/2)/sqrt(d*sec(f*x + e)), x)","F",0
311,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(5/2)/(d*sec(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(5/2)/(d*sec(f*x + e))^(3/2), x)","F",0
312,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(5/2)/(d*sec(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(5/2)/(d*sec(f*x + e))^(5/2), x)","F",0
313,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(5/2)/(d*sec(f*x+e))^(7/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(5/2)/(d*sec(f*x + e))^(7/2), x)","F",0
314,0,0,0,0.000000," ","integrate((b*tan(f*x+e))^(5/2)/(d*sec(f*x+e))^(9/2),x, algorithm=""maxima"")","\int \frac{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(d \sec\left(f x + e\right)\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((b*tan(f*x + e))^(5/2)/(d*sec(f*x + e))^(9/2), x)","F",0
315,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(7/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{7}{2}}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(7/2)/sqrt(b*tan(f*x + e)), x)","F",0
316,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(5/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(5/2)/sqrt(b*tan(f*x + e)), x)","F",0
317,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(3/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(3/2)/sqrt(b*tan(f*x + e)), x)","F",0
318,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\sqrt{d \sec\left(f x + e\right)}}{\sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(sqrt(d*sec(f*x + e))/sqrt(b*tan(f*x + e)), x)","F",0
319,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(1/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d \sec\left(f x + e\right)} \sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/(sqrt(d*sec(f*x + e))*sqrt(b*tan(f*x + e))), x)","F",0
320,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(3/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}} \sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/((d*sec(f*x + e))^(3/2)*sqrt(b*tan(f*x + e))), x)","F",0
321,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(5/2)/(b*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{1}{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}} \sqrt{b \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate(1/((d*sec(f*x + e))^(5/2)*sqrt(b*tan(f*x + e))), x)","F",0
322,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(5/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(5/2)/(b*tan(f*x + e))^(3/2), x)","F",0
323,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(3/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(3/2)/(b*tan(f*x + e))^(3/2), x)","F",0
324,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\sqrt{d \sec\left(f x + e\right)}}{\left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*sec(f*x + e))/(b*tan(f*x + e))^(3/2), x)","F",0
325,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(1/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d \sec\left(f x + e\right)} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(d*sec(f*x + e))*(b*tan(f*x + e))^(3/2)), x)","F",0
326,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(3/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((d*sec(f*x + e))^(3/2)*(b*tan(f*x + e))^(3/2)), x)","F",0
327,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(5/2)/(b*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{1}{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(1/((d*sec(f*x + e))^(5/2)*(b*tan(f*x + e))^(3/2)), x)","F",0
328,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(7/2)/(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{7}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(7/2)/(b*tan(f*x + e))^(5/2), x)","F",0
329,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(5/2)/(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(5/2)/(b*tan(f*x + e))^(5/2), x)","F",0
330,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(3/2)/(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((d*sec(f*x + e))^(3/2)/(b*tan(f*x + e))^(5/2), x)","F",0
331,0,0,0,0.000000," ","integrate((d*sec(f*x+e))^(1/2)/(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{\sqrt{d \sec\left(f x + e\right)}}{\left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(sqrt(d*sec(f*x + e))/(b*tan(f*x + e))^(5/2), x)","F",0
332,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(1/2)/(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\sqrt{d \sec\left(f x + e\right)} \left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/(sqrt(d*sec(f*x + e))*(b*tan(f*x + e))^(5/2)), x)","F",0
333,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(3/2)/(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(d \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((d*sec(f*x + e))^(3/2)*(b*tan(f*x + e))^(5/2)), x)","F",0
334,0,0,0,0.000000," ","integrate(1/(d*sec(f*x+e))^(5/2)/(b*tan(f*x+e))^(5/2),x, algorithm=""maxima"")","\int \frac{1}{\left(d \sec\left(f x + e\right)\right)^{\frac{5}{2}} \left(b \tan\left(f x + e\right)\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate(1/((d*sec(f*x + e))^(5/2)*(b*tan(f*x + e))^(5/2)), x)","F",0
335,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(4/3)*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{4}{3}} \sqrt{d \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(4/3)*sqrt(d*tan(f*x + e)), x)","F",0
336,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/3)*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{1}{3}} \sqrt{d \tan\left(f x + e\right)}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(1/3)*sqrt(d*tan(f*x + e)), x)","F",0
337,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(1/2)/(b*sec(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\sqrt{d \tan\left(f x + e\right)}}{\left(b \sec\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))/(b*sec(f*x + e))^(1/3), x)","F",0
338,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(1/2)/(b*sec(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\sqrt{d \tan\left(f x + e\right)}}{\left(b \sec\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))/(b*sec(f*x + e))^(4/3), x)","F",0
339,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(4/3)*(d*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{4}{3}} \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(4/3)*(d*tan(f*x + e))^(3/2), x)","F",0
340,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/3)*(d*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{1}{3}} \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(1/3)*(d*tan(f*x + e))^(3/2), x)","F",0
341,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(3/2)/(b*sec(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \sec\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((d*tan(f*x + e))^(3/2)/(b*sec(f*x + e))^(1/3), x)","F",0
342,0,0,0,0.000000," ","integrate((d*tan(f*x+e))^(3/2)/(b*sec(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(b \sec\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((d*tan(f*x + e))^(3/2)/(b*sec(f*x + e))^(4/3), x)","F",0
343,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)*(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \sqrt{b \sec\left(f x + e\right)} \left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*(d*tan(f*x + e))^(4/3), x)","F",0
344,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)*(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \sqrt{b \sec\left(f x + e\right)} \left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))*(d*tan(f*x + e))^(1/3), x)","F",0
345,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/(d*tan(f*x + e))^(1/3), x)","F",0
346,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(1/2)/(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\sqrt{b \sec\left(f x + e\right)}}{\left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate(sqrt(b*sec(f*x + e))/(d*tan(f*x + e))^(4/3), x)","F",0
347,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*(d*tan(f*x + e))^(4/3), x)","F",0
348,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)*(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}} \left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)*(d*tan(f*x + e))^(1/3), x)","F",0
349,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)/(d*tan(f*x+e))^(1/3),x, algorithm=""maxima"")","\int \frac{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \tan\left(f x + e\right)\right)^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)/(d*tan(f*x + e))^(1/3), x)","F",0
350,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^(3/2)/(d*tan(f*x+e))^(4/3),x, algorithm=""maxima"")","\int \frac{\left(b \sec\left(f x + e\right)\right)^{\frac{3}{2}}}{\left(d \tan\left(f x + e\right)\right)^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^(3/2)/(d*tan(f*x + e))^(4/3), x)","F",0
351,1,77,0,0.804123," ","integrate((b*sec(f*x+e))^m*tan(f*x+e)^5,x, algorithm=""maxima"")","\frac{\frac{b^{m} \cos\left(f x + e\right)^{-m}}{m} - \frac{2 \, b^{m} \cos\left(f x + e\right)^{-m}}{{\left(m + 2\right)} \cos\left(f x + e\right)^{2}} + \frac{b^{m} \cos\left(f x + e\right)^{-m}}{{\left(m + 4\right)} \cos\left(f x + e\right)^{4}}}{f}"," ",0,"(b^m*cos(f*x + e)^(-m)/m - 2*b^m*cos(f*x + e)^(-m)/((m + 2)*cos(f*x + e)^2) + b^m*cos(f*x + e)^(-m)/((m + 4)*cos(f*x + e)^4))/f","A",0
352,1,51,0,0.891417," ","integrate((b*sec(f*x+e))^m*tan(f*x+e)^3,x, algorithm=""maxima"")","-\frac{\frac{b^{m} \cos\left(f x + e\right)^{-m}}{m} - \frac{b^{m} \cos\left(f x + e\right)^{-m}}{{\left(m + 2\right)} \cos\left(f x + e\right)^{2}}}{f}"," ",0,"-(b^m*cos(f*x + e)^(-m)/m - b^m*cos(f*x + e)^(-m)/((m + 2)*cos(f*x + e)^2))/f","A",0
353,1,20,0,0.438648," ","integrate((b*sec(f*x+e))^m*tan(f*x+e),x, algorithm=""maxima"")","\frac{b^{m} \cos\left(f x + e\right)^{-m}}{f m}"," ",0,"b^m*cos(f*x + e)^(-m)/(f*m)","A",0
354,0,0,0,0.000000," ","integrate(cot(f*x+e)*(b*sec(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*cot(f*x + e), x)","F",0
355,0,0,0,0.000000," ","integrate(cot(f*x+e)^3*(b*sec(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*cot(f*x + e)^3, x)","F",0
356,0,0,0,0.000000," ","integrate(cot(f*x+e)^5*(b*sec(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{5}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*cot(f*x + e)^5, x)","F",0
357,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^m*tan(f*x+e)^4,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*tan(f*x + e)^4, x)","F",0
358,0,0,0,0.000000," ","integrate((b*sec(f*x+e))^m*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*tan(f*x + e)^2, x)","F",0
359,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(b*sec(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*cot(f*x + e)^2, x)","F",0
360,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(b*sec(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*cot(f*x + e)^4, x)","F",0
361,0,0,0,0.000000," ","integrate(cot(f*x+e)^6*(b*sec(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \sec\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{6}\,{d x}"," ",0,"integrate((b*sec(f*x + e))^m*cot(f*x + e)^6, x)","F",0
362,0,0,0,0.000000," ","integrate((a*sec(f*x+e))^m*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(a \sec\left(f x + e\right)\right)^{m} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*sec(f*x + e))^m*(b*tan(f*x + e))^n, x)","F",0
363,1,77,0,0.951790," ","integrate(sec(b*x+a)^6*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\frac{\frac{d^{n} \tan\left(b x + a\right)^{n} \tan\left(b x + a\right)^{5}}{n + 5} + \frac{2 \, d^{n} \tan\left(b x + a\right)^{n} \tan\left(b x + a\right)^{3}}{n + 3} + \frac{\left(d \tan\left(b x + a\right)\right)^{n + 1}}{d {\left(n + 1\right)}}}{b}"," ",0,"(d^n*tan(b*x + a)^n*tan(b*x + a)^5/(n + 5) + 2*d^n*tan(b*x + a)^n*tan(b*x + a)^3/(n + 3) + (d*tan(b*x + a))^(n + 1)/(d*(n + 1)))/b","A",0
364,1,51,0,1.237005," ","integrate(sec(b*x+a)^4*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\frac{\frac{d^{n} \tan\left(b x + a\right)^{n} \tan\left(b x + a\right)^{3}}{n + 3} + \frac{\left(d \tan\left(b x + a\right)\right)^{n + 1}}{d {\left(n + 1\right)}}}{b}"," ",0,"(d^n*tan(b*x + a)^n*tan(b*x + a)^3/(n + 3) + (d*tan(b*x + a))^(n + 1)/(d*(n + 1)))/b","A",0
365,1,24,0,0.732361," ","integrate(sec(b*x+a)^2*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\frac{\left(d \tan\left(b x + a\right)\right)^{n + 1}}{b d {\left(n + 1\right)}}"," ",0,"(d*tan(b*x + a))^(n + 1)/(b*d*(n + 1))","A",0
366,0,0,0,0.000000," ","integrate((d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n, x)","F",0
367,0,0,0,0.000000," ","integrate(cos(b*x+a)^2*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n} \cos\left(b x + a\right)^{2}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n*cos(b*x + a)^2, x)","F",0
368,0,0,0,0.000000," ","integrate(cos(b*x+a)^4*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n} \cos\left(b x + a\right)^{4}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n*cos(b*x + a)^4, x)","F",0
369,0,0,0,0.000000," ","integrate(sec(b*x+a)^5*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n} \sec\left(b x + a\right)^{5}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n*sec(b*x + a)^5, x)","F",0
370,0,0,0,0.000000," ","integrate(sec(b*x+a)^3*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n} \sec\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n*sec(b*x + a)^3, x)","F",0
371,0,0,0,0.000000," ","integrate(sec(b*x+a)*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n} \sec\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n*sec(b*x + a), x)","F",0
372,0,0,0,0.000000," ","integrate(cos(b*x+a)*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n} \cos\left(b x + a\right)\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n*cos(b*x + a), x)","F",0
373,0,0,0,0.000000," ","integrate(cos(b*x+a)^3*(d*tan(b*x+a))^n,x, algorithm=""maxima"")","\int \left(d \tan\left(b x + a\right)\right)^{n} \cos\left(b x + a\right)^{3}\,{d x}"," ",0,"integrate((d*tan(b*x + a))^n*cos(b*x + a)^3, x)","F",0
374,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m*tan(f*x+e)^3,x, algorithm=""maxima"")","\int \left(b \csc\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{3}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m*tan(f*x + e)^3, x)","F",0
375,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m*tan(f*x+e),x, algorithm=""maxima"")","\int \left(b \csc\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m*tan(f*x + e), x)","F",0
376,1,21,0,0.690654," ","integrate(cot(f*x+e)*(b*csc(f*x+e))^m,x, algorithm=""maxima"")","-\frac{b^{m} \sin\left(f x + e\right)^{-m}}{f m}"," ",0,"-b^m*sin(f*x + e)^(-m)/(f*m)","A",0
377,1,50,0,0.667459," ","integrate(cot(f*x+e)^3*(b*csc(f*x+e))^m,x, algorithm=""maxima"")","\frac{\frac{b^{m} \sin\left(f x + e\right)^{-m}}{m} - \frac{b^{m} \sin\left(f x + e\right)^{-m}}{{\left(m + 2\right)} \sin\left(f x + e\right)^{2}}}{f}"," ",0,"(b^m*sin(f*x + e)^(-m)/m - b^m*sin(f*x + e)^(-m)/((m + 2)*sin(f*x + e)^2))/f","A",0
378,1,78,0,0.701457," ","integrate(cot(f*x+e)^5*(b*csc(f*x+e))^m,x, algorithm=""maxima"")","-\frac{\frac{b^{m} \sin\left(f x + e\right)^{-m}}{m} - \frac{2 \, b^{m} \sin\left(f x + e\right)^{-m}}{{\left(m + 2\right)} \sin\left(f x + e\right)^{2}} + \frac{b^{m} \sin\left(f x + e\right)^{-m}}{{\left(m + 4\right)} \sin\left(f x + e\right)^{4}}}{f}"," ",0,"-(b^m*sin(f*x + e)^(-m)/m - 2*b^m*sin(f*x + e)^(-m)/((m + 2)*sin(f*x + e)^2) + b^m*sin(f*x + e)^(-m)/((m + 4)*sin(f*x + e)^4))/f","A",0
379,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m*tan(f*x+e)^4,x, algorithm=""maxima"")","\int \left(b \csc\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m*tan(f*x + e)^4, x)","F",0
380,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m*tan(f*x+e)^2,x, algorithm=""maxima"")","\int \left(b \csc\left(f x + e\right)\right)^{m} \tan\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m*tan(f*x + e)^2, x)","F",0
381,0,0,0,0.000000," ","integrate(cot(f*x+e)^2*(b*csc(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \csc\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{2}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m*cot(f*x + e)^2, x)","F",0
382,0,0,0,0.000000," ","integrate(cot(f*x+e)^4*(b*csc(f*x+e))^m,x, algorithm=""maxima"")","\int \left(b \csc\left(f x + e\right)\right)^{m} \cot\left(f x + e\right)^{4}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m*cot(f*x + e)^4, x)","F",0
383,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m*(d*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}} \left(b \csc\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate((d*tan(f*x + e))^(3/2)*(b*csc(f*x + e))^m, x)","F",0
384,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m*(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \sqrt{d \tan\left(f x + e\right)} \left(b \csc\left(f x + e\right)\right)^{m}\,{d x}"," ",0,"integrate(sqrt(d*tan(f*x + e))*(b*csc(f*x + e))^m, x)","F",0
385,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m/(d*tan(f*x+e))^(1/2),x, algorithm=""maxima"")","\int \frac{\left(b \csc\left(f x + e\right)\right)^{m}}{\sqrt{d \tan\left(f x + e\right)}}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m/sqrt(d*tan(f*x + e)), x)","F",0
386,0,0,0,0.000000," ","integrate((b*csc(f*x+e))^m/(d*tan(f*x+e))^(3/2),x, algorithm=""maxima"")","\int \frac{\left(b \csc\left(f x + e\right)\right)^{m}}{\left(d \tan\left(f x + e\right)\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((b*csc(f*x + e))^m/(d*tan(f*x + e))^(3/2), x)","F",0
387,0,0,0,0.000000," ","integrate((a*csc(f*x+e))^m*(b*tan(f*x+e))^n,x, algorithm=""maxima"")","\int \left(a \csc\left(f x + e\right)\right)^{m} \left(b \tan\left(f x + e\right)\right)^{n}\,{d x}"," ",0,"integrate((a*csc(f*x + e))^m*(b*tan(f*x + e))^n, x)","F",0
