1,1,284,0,0.596029," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{3 i \, A a e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 3 \, B a e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 9 i \, A a e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 9 \, B a e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 9 i \, A a e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 9 \, B a e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 12 i \, A a e^{\left(4 i \, d x + 4 i \, c\right)} + 18 \, B a e^{\left(4 i \, d x + 4 i \, c\right)} + 18 i \, A a e^{\left(2 i \, d x + 2 i \, c\right)} + 18 \, B a e^{\left(2 i \, d x + 2 i \, c\right)} + 3 i \, A a \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 3 \, B a \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 6 i \, A a + 8 \, B a}{3 \, {\left(d e^{\left(6 i \, d x + 6 i \, c\right)} + 3 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 3 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"1/3*(3*I*A*a*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 3*B*a*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 9*I*A*a*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 9*B*a*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 9*I*A*a*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 9*B*a*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 12*I*A*a*e^(4*I*d*x + 4*I*c) + 18*B*a*e^(4*I*d*x + 4*I*c) + 18*I*A*a*e^(2*I*d*x + 2*I*c) + 18*B*a*e^(2*I*d*x + 2*I*c) + 3*I*A*a*log(e^(2*I*d*x + 2*I*c) + 1) + 3*B*a*log(e^(2*I*d*x + 2*I*c) + 1) + 6*I*A*a + 8*B*a)/(d*e^(6*I*d*x + 6*I*c) + 3*d*e^(4*I*d*x + 4*I*c) + 3*d*e^(2*I*d*x + 2*I*c) + d)","B",0
2,1,194,0,0.289080," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{A a e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - i \, B a e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 2 \, A a e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 2 i \, B a e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 2 \, A a e^{\left(2 i \, d x + 2 i \, c\right)} - 4 i \, B a e^{\left(2 i \, d x + 2 i \, c\right)} + A a \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - i \, B a \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 2 \, A a - 2 i \, B a}{d e^{\left(4 i \, d x + 4 i \, c\right)} + 2 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d}"," ",0,"-(A*a*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - I*B*a*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 2*A*a*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 2*I*B*a*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 2*A*a*e^(2*I*d*x + 2*I*c) - 4*I*B*a*e^(2*I*d*x + 2*I*c) + A*a*log(e^(2*I*d*x + 2*I*c) + 1) - I*B*a*log(e^(2*I*d*x + 2*I*c) + 1) + 2*A*a - 2*I*B*a)/(d*e^(4*I*d*x + 4*I*c) + 2*d*e^(2*I*d*x + 2*I*c) + d)","B",0
3,1,103,0,0.214524," ","integrate((a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{-i \, A a e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - B a e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - i \, A a \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - B a \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 2 \, B a}{d e^{\left(2 i \, d x + 2 i \, c\right)} + d}"," ",0,"(-I*A*a*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - B*a*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - I*A*a*log(e^(2*I*d*x + 2*I*c) + 1) - B*a*log(e^(2*I*d*x + 2*I*c) + 1) - 2*B*a)/(d*e^(2*I*d*x + 2*I*c) + d)","B",0
4,1,74,0,0.410445," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{i \, B a \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) + i \, B a \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - A a \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + 2 \, {\left(A a - i \, B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right)}{d}"," ",0,"-(I*B*a*log(tan(1/2*d*x + 1/2*c) + 1) + I*B*a*log(tan(1/2*d*x + 1/2*c) - 1) - A*a*log(tan(1/2*d*x + 1/2*c)) + 2*(A*a - I*B*a)*log(tan(1/2*d*x + 1/2*c) + I))/d","B",0
5,1,104,0,0.648314," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, {\left(-i \, A a - B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 2 \, {\left(i \, A a + B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{-2 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{2 \, d}"," ",0,"1/2*(A*a*tan(1/2*d*x + 1/2*c) + 4*(-I*A*a - B*a)*log(tan(1/2*d*x + 1/2*c) + I) + 2*(I*A*a + B*a)*log(tan(1/2*d*x + 1/2*c)) + (-2*I*A*a*tan(1/2*d*x + 1/2*c) - 2*B*a*tan(1/2*d*x + 1/2*c) - A*a)/tan(1/2*d*x + 1/2*c))/d","B",0
6,1,162,0,0.794621," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 16 \, {\left(A a - i \, B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 8 \, {\left(A a - i \, B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{12 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 i \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"-1/8*(A*a*tan(1/2*d*x + 1/2*c)^2 - 4*I*A*a*tan(1/2*d*x + 1/2*c) - 4*B*a*tan(1/2*d*x + 1/2*c) - 16*(A*a - I*B*a)*log(tan(1/2*d*x + 1/2*c) + I) + 8*(A*a - I*B*a)*log(tan(1/2*d*x + 1/2*c)) - (12*A*a*tan(1/2*d*x + 1/2*c)^2 - 12*I*B*a*tan(1/2*d*x + 1/2*c)^2 - 4*I*A*a*tan(1/2*d*x + 1/2*c) - 4*B*a*tan(1/2*d*x + 1/2*c) - A*a)/tan(1/2*d*x + 1/2*c)^2)/d","B",0
7,1,221,0,0.959260," ","integrate(cot(d*x+c)^4*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 3 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 15 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 12 i \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 48 \, {\left(i \, A a + B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) - 24 \, {\left(i \, A a + B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{-44 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 44 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 15 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 12 i \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 3 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a*tan(1/2*d*x + 1/2*c)^3 - 3*I*A*a*tan(1/2*d*x + 1/2*c)^2 - 3*B*a*tan(1/2*d*x + 1/2*c)^2 - 15*A*a*tan(1/2*d*x + 1/2*c) + 12*I*B*a*tan(1/2*d*x + 1/2*c) + 48*(I*A*a + B*a)*log(tan(1/2*d*x + 1/2*c) + I) - 24*(I*A*a + B*a)*log(tan(1/2*d*x + 1/2*c)) - (-44*I*A*a*tan(1/2*d*x + 1/2*c)^3 - 44*B*a*tan(1/2*d*x + 1/2*c)^3 - 15*A*a*tan(1/2*d*x + 1/2*c)^2 + 12*I*B*a*tan(1/2*d*x + 1/2*c)^2 + 3*I*A*a*tan(1/2*d*x + 1/2*c) + 3*B*a*tan(1/2*d*x + 1/2*c) + A*a)/tan(1/2*d*x + 1/2*c)^3)/d","B",0
8,1,282,0,1.211602," ","integrate(cot(d*x+c)^5*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 8 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 8 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 i \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 120 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 120 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 384 \, {\left(A a - i \, B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) - 192 \, {\left(A a - i \, B a\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{400 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 400 i \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 120 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 120 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 i \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 i \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a*tan(1/2*d*x + 1/2*c)^4 - 8*I*A*a*tan(1/2*d*x + 1/2*c)^3 - 8*B*a*tan(1/2*d*x + 1/2*c)^3 - 36*A*a*tan(1/2*d*x + 1/2*c)^2 + 24*I*B*a*tan(1/2*d*x + 1/2*c)^2 + 120*I*A*a*tan(1/2*d*x + 1/2*c) + 120*B*a*tan(1/2*d*x + 1/2*c) + 384*(A*a - I*B*a)*log(tan(1/2*d*x + 1/2*c) + I) - 192*(A*a - I*B*a)*log(tan(1/2*d*x + 1/2*c)) + (400*A*a*tan(1/2*d*x + 1/2*c)^4 - 400*I*B*a*tan(1/2*d*x + 1/2*c)^4 - 120*I*A*a*tan(1/2*d*x + 1/2*c)^3 - 120*B*a*tan(1/2*d*x + 1/2*c)^3 - 36*A*a*tan(1/2*d*x + 1/2*c)^2 + 24*I*B*a*tan(1/2*d*x + 1/2*c)^2 + 8*I*A*a*tan(1/2*d*x + 1/2*c) + 8*B*a*tan(1/2*d*x + 1/2*c) + 3*A*a)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
9,1,408,0,0.842408," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 i \, A a^{2} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 6 \, B a^{2} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 24 i \, A a^{2} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 24 \, B a^{2} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 36 i \, A a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 36 \, B a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 24 i \, A a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 24 \, B a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 30 i \, A a^{2} e^{\left(6 i \, d x + 6 i \, c\right)} + 42 \, B a^{2} e^{\left(6 i \, d x + 6 i \, c\right)} + 66 i \, A a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} + 72 \, B a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} + 50 i \, A a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} + 58 \, B a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} + 6 i \, A a^{2} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 6 \, B a^{2} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 14 i \, A a^{2} + 16 \, B a^{2}}{3 \, {\left(d e^{\left(8 i \, d x + 8 i \, c\right)} + 4 \, d e^{\left(6 i \, d x + 6 i \, c\right)} + 6 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 4 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"1/3*(6*I*A*a^2*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 6*B*a^2*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 24*I*A*a^2*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 24*B*a^2*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 36*I*A*a^2*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 36*B*a^2*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 24*I*A*a^2*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 24*B*a^2*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 30*I*A*a^2*e^(6*I*d*x + 6*I*c) + 42*B*a^2*e^(6*I*d*x + 6*I*c) + 66*I*A*a^2*e^(4*I*d*x + 4*I*c) + 72*B*a^2*e^(4*I*d*x + 4*I*c) + 50*I*A*a^2*e^(2*I*d*x + 2*I*c) + 58*B*a^2*e^(2*I*d*x + 2*I*c) + 6*I*A*a^2*log(e^(2*I*d*x + 2*I*c) + 1) + 6*B*a^2*log(e^(2*I*d*x + 2*I*c) + 1) + 14*I*A*a^2 + 16*B*a^2)/(d*e^(8*I*d*x + 8*I*c) + 4*d*e^(6*I*d*x + 6*I*c) + 6*d*e^(4*I*d*x + 4*I*c) + 4*d*e^(2*I*d*x + 2*I*c) + d)","B",0
10,1,312,0,0.524628," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{6 \, A a^{2} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 6 i \, B a^{2} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 18 \, A a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 18 i \, B a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 18 \, A a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 18 i \, B a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 18 \, A a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} - 30 i \, B a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} + 30 \, A a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} - 36 i \, B a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} + 6 \, A a^{2} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 6 i \, B a^{2} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 12 \, A a^{2} - 14 i \, B a^{2}}{3 \, {\left(d e^{\left(6 i \, d x + 6 i \, c\right)} + 3 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 3 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"-1/3*(6*A*a^2*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 6*I*B*a^2*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 18*A*a^2*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 18*I*B*a^2*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 18*A*a^2*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 18*I*B*a^2*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 18*A*a^2*e^(4*I*d*x + 4*I*c) - 30*I*B*a^2*e^(4*I*d*x + 4*I*c) + 30*A*a^2*e^(2*I*d*x + 2*I*c) - 36*I*B*a^2*e^(2*I*d*x + 2*I*c) + 6*A*a^2*log(e^(2*I*d*x + 2*I*c) + 1) - 6*I*B*a^2*log(e^(2*I*d*x + 2*I*c) + 1) + 12*A*a^2 - 14*I*B*a^2)/(d*e^(6*I*d*x + 6*I*c) + 3*d*e^(4*I*d*x + 4*I*c) + 3*d*e^(2*I*d*x + 2*I*c) + d)","B",0
11,1,215,0,0.384281," ","integrate((a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{-2 i \, A a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 2 \, B a^{2} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 4 i \, A a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 4 \, B a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 2 i \, A a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} - 6 \, B a^{2} e^{\left(2 i \, d x + 2 i \, c\right)} - 2 i \, A a^{2} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 2 \, B a^{2} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 2 i \, A a^{2} - 4 \, B a^{2}}{d e^{\left(4 i \, d x + 4 i \, c\right)} + 2 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d}"," ",0,"(-2*I*A*a^2*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 2*B*a^2*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 4*I*A*a^2*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 4*B*a^2*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 2*I*A*a^2*e^(2*I*d*x + 2*I*c) - 6*B*a^2*e^(2*I*d*x + 2*I*c) - 2*I*A*a^2*log(e^(2*I*d*x + 2*I*c) + 1) - 2*B*a^2*log(e^(2*I*d*x + 2*I*c) + 1) - 2*I*A*a^2 - 4*B*a^2)/(d*e^(4*I*d*x + 4*I*c) + 2*d*e^(2*I*d*x + 2*I*c) + d)","B",0
12,1,175,0,0.878167," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a^{2} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + {\left(A a^{2} - 2 i \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) - 2 \, {\left(2 \, A a^{2} - 2 i \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + {\left(A a^{2} - 2 i \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - \frac{A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 2 i \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 2 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{2} + 2 i \, B a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1}}{d}"," ",0,"(A*a^2*log(tan(1/2*d*x + 1/2*c)) + (A*a^2 - 2*I*B*a^2)*log(tan(1/2*d*x + 1/2*c) + 1) - 2*(2*A*a^2 - 2*I*B*a^2)*log(tan(1/2*d*x + 1/2*c) + I) + (A*a^2 - 2*I*B*a^2)*log(tan(1/2*d*x + 1/2*c) - 1) - (A*a^2*tan(1/2*d*x + 1/2*c)^2 - 2*I*B*a^2*tan(1/2*d*x + 1/2*c)^2 - 2*B*a^2*tan(1/2*d*x + 1/2*c) - A*a^2 + 2*I*B*a^2)/(tan(1/2*d*x + 1/2*c)^2 - 1))/d","B",0
13,1,156,0,1.301524," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, B a^{2} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) + 2 \, B a^{2} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) + A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4 \, {\left(-2 i \, A a^{2} - 2 \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 2 \, {\left(2 i \, A a^{2} + B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{-4 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{2 \, d}"," ",0,"1/2*(2*B*a^2*log(tan(1/2*d*x + 1/2*c) + 1) + 2*B*a^2*log(tan(1/2*d*x + 1/2*c) - 1) + A*a^2*tan(1/2*d*x + 1/2*c) + 4*(-2*I*A*a^2 - 2*B*a^2)*log(tan(1/2*d*x + 1/2*c) + I) + 2*(2*I*A*a^2 + B*a^2)*log(tan(1/2*d*x + 1/2*c)) + (-4*I*A*a^2*tan(1/2*d*x + 1/2*c) - 2*B*a^2*tan(1/2*d*x + 1/2*c) - A*a^2)/tan(1/2*d*x + 1/2*c))/d","B",0
14,1,186,0,1.728186," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 8 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 32 \, {\left(A a^{2} - i \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 16 \, {\left(A a^{2} - i \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{24 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 24 i \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 8 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"-1/8*(A*a^2*tan(1/2*d*x + 1/2*c)^2 - 8*I*A*a^2*tan(1/2*d*x + 1/2*c) - 4*B*a^2*tan(1/2*d*x + 1/2*c) - 32*(A*a^2 - I*B*a^2)*log(tan(1/2*d*x + 1/2*c) + I) + 16*(A*a^2 - I*B*a^2)*log(tan(1/2*d*x + 1/2*c)) - (24*A*a^2*tan(1/2*d*x + 1/2*c)^2 - 24*I*B*a^2*tan(1/2*d*x + 1/2*c)^2 - 8*I*A*a^2*tan(1/2*d*x + 1/2*c) - 4*B*a^2*tan(1/2*d*x + 1/2*c) - A*a^2)/tan(1/2*d*x + 1/2*c)^2)/d","B",0
15,1,255,0,2.097259," ","integrate(cot(d*x+c)^4*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 6 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 27 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 24 i \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 48 \, {\left(2 i \, A a^{2} + 2 \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 48 \, {\left(-i \, A a^{2} - B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{-88 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 88 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 27 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 i \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 6 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a^2*tan(1/2*d*x + 1/2*c)^3 - 6*I*A*a^2*tan(1/2*d*x + 1/2*c)^2 - 3*B*a^2*tan(1/2*d*x + 1/2*c)^2 - 27*A*a^2*tan(1/2*d*x + 1/2*c) + 24*I*B*a^2*tan(1/2*d*x + 1/2*c) + 48*(2*I*A*a^2 + 2*B*a^2)*log(tan(1/2*d*x + 1/2*c) + I) + 48*(-I*A*a^2 - B*a^2)*log(tan(1/2*d*x + 1/2*c)) - (-88*I*A*a^2*tan(1/2*d*x + 1/2*c)^3 - 88*B*a^2*tan(1/2*d*x + 1/2*c)^3 - 27*A*a^2*tan(1/2*d*x + 1/2*c)^2 + 24*I*B*a^2*tan(1/2*d*x + 1/2*c)^2 + 6*I*A*a^2*tan(1/2*d*x + 1/2*c) + 3*B*a^2*tan(1/2*d*x + 1/2*c) + A*a^2)/tan(1/2*d*x + 1/2*c)^3)/d","B",0
16,1,322,0,3.029923," ","integrate(cot(d*x+c)^5*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 16 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 8 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 60 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 48 i \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 240 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 216 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 768 \, {\left(A a^{2} - i \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) - 384 \, {\left(A a^{2} - i \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{800 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 800 i \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 240 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 216 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 60 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 48 i \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 16 i \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a^2*tan(1/2*d*x + 1/2*c)^4 - 16*I*A*a^2*tan(1/2*d*x + 1/2*c)^3 - 8*B*a^2*tan(1/2*d*x + 1/2*c)^3 - 60*A*a^2*tan(1/2*d*x + 1/2*c)^2 + 48*I*B*a^2*tan(1/2*d*x + 1/2*c)^2 + 240*I*A*a^2*tan(1/2*d*x + 1/2*c) + 216*B*a^2*tan(1/2*d*x + 1/2*c) + 768*(A*a^2 - I*B*a^2)*log(tan(1/2*d*x + 1/2*c) + I) - 384*(A*a^2 - I*B*a^2)*log(tan(1/2*d*x + 1/2*c)) + (800*A*a^2*tan(1/2*d*x + 1/2*c)^4 - 800*I*B*a^2*tan(1/2*d*x + 1/2*c)^4 - 240*I*A*a^2*tan(1/2*d*x + 1/2*c)^3 - 216*B*a^2*tan(1/2*d*x + 1/2*c)^3 - 60*A*a^2*tan(1/2*d*x + 1/2*c)^2 + 48*I*B*a^2*tan(1/2*d*x + 1/2*c)^2 + 16*I*A*a^2*tan(1/2*d*x + 1/2*c) + 8*B*a^2*tan(1/2*d*x + 1/2*c) + 3*A*a^2)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
17,1,504,0,1.007247," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{60 i \, A a^{3} e^{\left(10 i \, d x + 10 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 60 \, B a^{3} e^{\left(10 i \, d x + 10 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 300 i \, A a^{3} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 300 \, B a^{3} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 600 i \, A a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 600 \, B a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 600 i \, A a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 600 \, B a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 300 i \, A a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 300 \, B a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 360 i \, A a^{3} e^{\left(8 i \, d x + 8 i \, c\right)} + 480 \, B a^{3} e^{\left(8 i \, d x + 8 i \, c\right)} + 1050 i \, A a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} + 1170 \, B a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} + 1230 i \, A a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} + 1390 \, B a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} + 690 i \, A a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} + 770 \, B a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} + 60 i \, A a^{3} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 60 \, B a^{3} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 150 i \, A a^{3} + 166 \, B a^{3}}{15 \, {\left(d e^{\left(10 i \, d x + 10 i \, c\right)} + 5 \, d e^{\left(8 i \, d x + 8 i \, c\right)} + 10 \, d e^{\left(6 i \, d x + 6 i \, c\right)} + 10 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 5 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"1/15*(60*I*A*a^3*e^(10*I*d*x + 10*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 60*B*a^3*e^(10*I*d*x + 10*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 300*I*A*a^3*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 300*B*a^3*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 600*I*A*a^3*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 600*B*a^3*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 600*I*A*a^3*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 600*B*a^3*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 300*I*A*a^3*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 300*B*a^3*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 360*I*A*a^3*e^(8*I*d*x + 8*I*c) + 480*B*a^3*e^(8*I*d*x + 8*I*c) + 1050*I*A*a^3*e^(6*I*d*x + 6*I*c) + 1170*B*a^3*e^(6*I*d*x + 6*I*c) + 1230*I*A*a^3*e^(4*I*d*x + 4*I*c) + 1390*B*a^3*e^(4*I*d*x + 4*I*c) + 690*I*A*a^3*e^(2*I*d*x + 2*I*c) + 770*B*a^3*e^(2*I*d*x + 2*I*c) + 60*I*A*a^3*log(e^(2*I*d*x + 2*I*c) + 1) + 60*B*a^3*log(e^(2*I*d*x + 2*I*c) + 1) + 150*I*A*a^3 + 166*B*a^3)/(d*e^(10*I*d*x + 10*I*c) + 5*d*e^(8*I*d*x + 8*I*c) + 10*d*e^(6*I*d*x + 6*I*c) + 10*d*e^(4*I*d*x + 4*I*c) + 5*d*e^(2*I*d*x + 2*I*c) + d)","B",0
18,1,408,0,0.672975," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{12 \, A a^{3} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 12 i \, B a^{3} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 48 \, A a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 48 i \, B a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 72 \, A a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 72 i \, B a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 48 \, A a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 48 i \, B a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 48 \, A a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} - 72 i \, B a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} + 114 \, A a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} - 138 i \, B a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} + 92 \, A a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} - 108 i \, B a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} + 12 \, A a^{3} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 12 i \, B a^{3} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 26 \, A a^{3} - 30 i \, B a^{3}}{3 \, {\left(d e^{\left(8 i \, d x + 8 i \, c\right)} + 4 \, d e^{\left(6 i \, d x + 6 i \, c\right)} + 6 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 4 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"-1/3*(12*A*a^3*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 12*I*B*a^3*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 48*A*a^3*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 48*I*B*a^3*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 72*A*a^3*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 72*I*B*a^3*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 48*A*a^3*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 48*I*B*a^3*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 48*A*a^3*e^(6*I*d*x + 6*I*c) - 72*I*B*a^3*e^(6*I*d*x + 6*I*c) + 114*A*a^3*e^(4*I*d*x + 4*I*c) - 138*I*B*a^3*e^(4*I*d*x + 4*I*c) + 92*A*a^3*e^(2*I*d*x + 2*I*c) - 108*I*B*a^3*e^(2*I*d*x + 2*I*c) + 12*A*a^3*log(e^(2*I*d*x + 2*I*c) + 1) - 12*I*B*a^3*log(e^(2*I*d*x + 2*I*c) + 1) + 26*A*a^3 - 30*I*B*a^3)/(d*e^(8*I*d*x + 8*I*c) + 4*d*e^(6*I*d*x + 6*I*c) + 6*d*e^(4*I*d*x + 4*I*c) + 4*d*e^(2*I*d*x + 2*I*c) + d)","B",0
19,1,312,0,0.548021," ","integrate((a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{-12 i \, A a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 12 \, B a^{3} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 36 i \, A a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 36 \, B a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 36 i \, A a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 36 \, B a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 24 i \, A a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} - 48 \, B a^{3} e^{\left(4 i \, d x + 4 i \, c\right)} - 42 i \, A a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} - 66 \, B a^{3} e^{\left(2 i \, d x + 2 i \, c\right)} - 12 i \, A a^{3} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 12 \, B a^{3} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 18 i \, A a^{3} - 26 \, B a^{3}}{3 \, {\left(d e^{\left(6 i \, d x + 6 i \, c\right)} + 3 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 3 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"1/3*(-12*I*A*a^3*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 12*B*a^3*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 36*I*A*a^3*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 36*B*a^3*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 36*I*A*a^3*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 36*B*a^3*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 24*I*A*a^3*e^(4*I*d*x + 4*I*c) - 48*B*a^3*e^(4*I*d*x + 4*I*c) - 42*I*A*a^3*e^(2*I*d*x + 2*I*c) - 66*B*a^3*e^(2*I*d*x + 2*I*c) - 12*I*A*a^3*log(e^(2*I*d*x + 2*I*c) + 1) - 12*B*a^3*log(e^(2*I*d*x + 2*I*c) + 1) - 18*I*A*a^3 - 26*B*a^3)/(d*e^(6*I*d*x + 6*I*c) + 3*d*e^(4*I*d*x + 4*I*c) + 3*d*e^(2*I*d*x + 2*I*c) + d)","B",0
20,1,265,0,1.354922," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, A a^{3} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + 2 \, {\left(3 \, A a^{3} - 4 i \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) - 4 \, {\left(4 \, A a^{3} - 4 i \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 2 \, {\left(3 \, A a^{3} - 4 i \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - \frac{9 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 12 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 4 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 12 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 18 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 28 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 12 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 9 \, A a^{3} - 12 i \, B a^{3}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*(2*A*a^3*log(tan(1/2*d*x + 1/2*c)) + 2*(3*A*a^3 - 4*I*B*a^3)*log(tan(1/2*d*x + 1/2*c) + 1) - 4*(4*A*a^3 - 4*I*B*a^3)*log(tan(1/2*d*x + 1/2*c) + I) + 2*(3*A*a^3 - 4*I*B*a^3)*log(tan(1/2*d*x + 1/2*c) - 1) - (9*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 12*I*B*a^3*tan(1/2*d*x + 1/2*c)^4 - 4*I*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 12*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 18*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 28*I*B*a^3*tan(1/2*d*x + 1/2*c)^2 + 4*I*A*a^3*tan(1/2*d*x + 1/2*c) + 12*B*a^3*tan(1/2*d*x + 1/2*c) + 9*A*a^3 - 12*I*B*a^3)/(tan(1/2*d*x + 1/2*c)^2 - 1)^2)/d","B",0
21,1,258,0,1.968722," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 6 \, {\left(i \, A a^{3} + 3 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) + 12 \, {\left(-4 i \, A a^{3} - 4 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 6 \, {\left(i \, A a^{3} + 3 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - 6 \, {\left(-3 i \, A a^{3} - B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{-10 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 14 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 12 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 10 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 14 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{6 \, d}"," ",0,"1/6*(3*A*a^3*tan(1/2*d*x + 1/2*c) + 6*(I*A*a^3 + 3*B*a^3)*log(tan(1/2*d*x + 1/2*c) + 1) + 12*(-4*I*A*a^3 - 4*B*a^3)*log(tan(1/2*d*x + 1/2*c) + I) + 6*(I*A*a^3 + 3*B*a^3)*log(tan(1/2*d*x + 1/2*c) - 1) - 6*(-3*I*A*a^3 - B*a^3)*log(tan(1/2*d*x + 1/2*c)) + (-10*I*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 14*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 3*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 12*I*B*a^3*tan(1/2*d*x + 1/2*c)^2 + 10*I*A*a^3*tan(1/2*d*x + 1/2*c) + 14*B*a^3*tan(1/2*d*x + 1/2*c) + 3*A*a^3)/(tan(1/2*d*x + 1/2*c)^3 - tan(1/2*d*x + 1/2*c)))/d","B",0
22,1,223,0,2.713886," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 8 i \, B a^{3} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) - 8 i \, B a^{3} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - 12 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 64 \, {\left(A a^{3} - i \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 8 \, {\left(4 \, A a^{3} - 3 i \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{48 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 36 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"-1/8*(A*a^3*tan(1/2*d*x + 1/2*c)^2 - 8*I*B*a^3*log(tan(1/2*d*x + 1/2*c) + 1) - 8*I*B*a^3*log(tan(1/2*d*x + 1/2*c) - 1) - 12*I*A*a^3*tan(1/2*d*x + 1/2*c) - 4*B*a^3*tan(1/2*d*x + 1/2*c) - 64*(A*a^3 - I*B*a^3)*log(tan(1/2*d*x + 1/2*c) + I) + 8*(4*A*a^3 - 3*I*B*a^3)*log(tan(1/2*d*x + 1/2*c)) - (48*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 36*I*B*a^3*tan(1/2*d*x + 1/2*c)^2 - 12*I*A*a^3*tan(1/2*d*x + 1/2*c) - 4*B*a^3*tan(1/2*d*x + 1/2*c) - A*a^3)/tan(1/2*d*x + 1/2*c)^2)/d","B",0
23,1,255,0,3.483622," ","integrate(cot(d*x+c)^4*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 9 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 51 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 36 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 48 \, {\left(4 i \, A a^{3} + 4 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 48 \, {\left(-2 i \, A a^{3} - 2 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{-176 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 176 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 51 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 36 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 9 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a^3*tan(1/2*d*x + 1/2*c)^3 - 9*I*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 3*B*a^3*tan(1/2*d*x + 1/2*c)^2 - 51*A*a^3*tan(1/2*d*x + 1/2*c) + 36*I*B*a^3*tan(1/2*d*x + 1/2*c) + 48*(4*I*A*a^3 + 4*B*a^3)*log(tan(1/2*d*x + 1/2*c) + I) + 48*(-2*I*A*a^3 - 2*B*a^3)*log(tan(1/2*d*x + 1/2*c)) - (-176*I*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 176*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 51*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 36*I*B*a^3*tan(1/2*d*x + 1/2*c)^2 + 9*I*A*a^3*tan(1/2*d*x + 1/2*c) + 3*B*a^3*tan(1/2*d*x + 1/2*c) + A*a^3)/tan(1/2*d*x + 1/2*c)^3)/d","B",0
24,1,322,0,4.279360," ","integrate(cot(d*x+c)^5*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 24 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 8 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 108 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 72 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 456 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 408 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1536 \, {\left(A a^{3} - i \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) - 768 \, {\left(A a^{3} - i \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{1600 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1600 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 456 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 408 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 108 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 72 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 24*I*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 8*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 108*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 72*I*B*a^3*tan(1/2*d*x + 1/2*c)^2 + 456*I*A*a^3*tan(1/2*d*x + 1/2*c) + 408*B*a^3*tan(1/2*d*x + 1/2*c) + 1536*(A*a^3 - I*B*a^3)*log(tan(1/2*d*x + 1/2*c) + I) - 768*(A*a^3 - I*B*a^3)*log(tan(1/2*d*x + 1/2*c)) + (1600*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 1600*I*B*a^3*tan(1/2*d*x + 1/2*c)^4 - 456*I*A*a^3*tan(1/2*d*x + 1/2*c)^3 - 408*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 108*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 72*I*B*a^3*tan(1/2*d*x + 1/2*c)^2 + 24*I*A*a^3*tan(1/2*d*x + 1/2*c) + 8*B*a^3*tan(1/2*d*x + 1/2*c) + 3*A*a^3)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
25,1,392,0,5.820275," ","integrate(cot(d*x+c)^6*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 45 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 15 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 190 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 120 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 660 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 540 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 2460 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2280 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1920 \, {\left(-4 i \, A a^{3} - 4 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 1920 \, {\left(2 i \, A a^{3} + 2 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{-8768 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 8768 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 2460 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 2280 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 660 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 540 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 190 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 120 i \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 45 i \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 15 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 6 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5}}}{960 \, d}"," ",0,"1/960*(6*A*a^3*tan(1/2*d*x + 1/2*c)^5 - 45*I*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 15*B*a^3*tan(1/2*d*x + 1/2*c)^4 - 190*A*a^3*tan(1/2*d*x + 1/2*c)^3 + 120*I*B*a^3*tan(1/2*d*x + 1/2*c)^3 + 660*I*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 540*B*a^3*tan(1/2*d*x + 1/2*c)^2 + 2460*A*a^3*tan(1/2*d*x + 1/2*c) - 2280*I*B*a^3*tan(1/2*d*x + 1/2*c) + 1920*(-4*I*A*a^3 - 4*B*a^3)*log(tan(1/2*d*x + 1/2*c) + I) + 1920*(2*I*A*a^3 + 2*B*a^3)*log(tan(1/2*d*x + 1/2*c)) + (-8768*I*A*a^3*tan(1/2*d*x + 1/2*c)^5 - 8768*B*a^3*tan(1/2*d*x + 1/2*c)^5 - 2460*A*a^3*tan(1/2*d*x + 1/2*c)^4 + 2280*I*B*a^3*tan(1/2*d*x + 1/2*c)^4 + 660*I*A*a^3*tan(1/2*d*x + 1/2*c)^3 + 540*B*a^3*tan(1/2*d*x + 1/2*c)^3 + 190*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 120*I*B*a^3*tan(1/2*d*x + 1/2*c)^2 - 45*I*A*a^3*tan(1/2*d*x + 1/2*c) - 15*B*a^3*tan(1/2*d*x + 1/2*c) - 6*A*a^3)/tan(1/2*d*x + 1/2*c)^5)/d","B",0
26,1,600,0,1.319265," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{120 i \, A a^{4} e^{\left(12 i \, d x + 12 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 120 \, B a^{4} e^{\left(12 i \, d x + 12 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 720 i \, A a^{4} e^{\left(10 i \, d x + 10 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 720 \, B a^{4} e^{\left(10 i \, d x + 10 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 1800 i \, A a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 1800 \, B a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 2400 i \, A a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 2400 \, B a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 1800 i \, A a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 1800 \, B a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 720 i \, A a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 720 \, B a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 840 i \, A a^{4} e^{\left(10 i \, d x + 10 i \, c\right)} + 1080 \, B a^{4} e^{\left(10 i \, d x + 10 i \, c\right)} + 3060 i \, A a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} + 3420 \, B a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} + 4840 i \, A a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} + 5400 \, B a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} + 4080 i \, A a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} + 4500 \, B a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} + 1776 i \, A a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} + 1944 \, B a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} + 120 i \, A a^{4} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 120 \, B a^{4} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 316 i \, A a^{4} + 344 \, B a^{4}}{15 \, {\left(d e^{\left(12 i \, d x + 12 i \, c\right)} + 6 \, d e^{\left(10 i \, d x + 10 i \, c\right)} + 15 \, d e^{\left(8 i \, d x + 8 i \, c\right)} + 20 \, d e^{\left(6 i \, d x + 6 i \, c\right)} + 15 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 6 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"1/15*(120*I*A*a^4*e^(12*I*d*x + 12*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 120*B*a^4*e^(12*I*d*x + 12*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 720*I*A*a^4*e^(10*I*d*x + 10*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 720*B*a^4*e^(10*I*d*x + 10*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 1800*I*A*a^4*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 1800*B*a^4*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 2400*I*A*a^4*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 2400*B*a^4*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 1800*I*A*a^4*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 1800*B*a^4*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 720*I*A*a^4*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 720*B*a^4*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 840*I*A*a^4*e^(10*I*d*x + 10*I*c) + 1080*B*a^4*e^(10*I*d*x + 10*I*c) + 3060*I*A*a^4*e^(8*I*d*x + 8*I*c) + 3420*B*a^4*e^(8*I*d*x + 8*I*c) + 4840*I*A*a^4*e^(6*I*d*x + 6*I*c) + 5400*B*a^4*e^(6*I*d*x + 6*I*c) + 4080*I*A*a^4*e^(4*I*d*x + 4*I*c) + 4500*B*a^4*e^(4*I*d*x + 4*I*c) + 1776*I*A*a^4*e^(2*I*d*x + 2*I*c) + 1944*B*a^4*e^(2*I*d*x + 2*I*c) + 120*I*A*a^4*log(e^(2*I*d*x + 2*I*c) + 1) + 120*B*a^4*log(e^(2*I*d*x + 2*I*c) + 1) + 316*I*A*a^4 + 344*B*a^4)/(d*e^(12*I*d*x + 12*I*c) + 6*d*e^(10*I*d*x + 10*I*c) + 15*d*e^(8*I*d*x + 8*I*c) + 20*d*e^(6*I*d*x + 6*I*c) + 15*d*e^(4*I*d*x + 4*I*c) + 6*d*e^(2*I*d*x + 2*I*c) + d)","B",0
27,1,504,0,0.934871," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{120 \, A a^{4} e^{\left(10 i \, d x + 10 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 120 i \, B a^{4} e^{\left(10 i \, d x + 10 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 600 \, A a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 600 i \, B a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 1200 \, A a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 1200 i \, B a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 1200 \, A a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 1200 i \, B a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 600 \, A a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 600 i \, B a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 600 \, A a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} - 840 i \, B a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} + 1860 \, A a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} - 2220 i \, B a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} + 2260 \, A a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} - 2620 i \, B a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} + 1280 \, A a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} - 1460 i \, B a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} + 120 \, A a^{4} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 120 i \, B a^{4} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) + 280 \, A a^{4} - 316 i \, B a^{4}}{15 \, {\left(d e^{\left(10 i \, d x + 10 i \, c\right)} + 5 \, d e^{\left(8 i \, d x + 8 i \, c\right)} + 10 \, d e^{\left(6 i \, d x + 6 i \, c\right)} + 10 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 5 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"-1/15*(120*A*a^4*e^(10*I*d*x + 10*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 120*I*B*a^4*e^(10*I*d*x + 10*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 600*A*a^4*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 600*I*B*a^4*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 1200*A*a^4*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 1200*I*B*a^4*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 1200*A*a^4*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 1200*I*B*a^4*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 600*A*a^4*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 600*I*B*a^4*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) + 600*A*a^4*e^(8*I*d*x + 8*I*c) - 840*I*B*a^4*e^(8*I*d*x + 8*I*c) + 1860*A*a^4*e^(6*I*d*x + 6*I*c) - 2220*I*B*a^4*e^(6*I*d*x + 6*I*c) + 2260*A*a^4*e^(4*I*d*x + 4*I*c) - 2620*I*B*a^4*e^(4*I*d*x + 4*I*c) + 1280*A*a^4*e^(2*I*d*x + 2*I*c) - 1460*I*B*a^4*e^(2*I*d*x + 2*I*c) + 120*A*a^4*log(e^(2*I*d*x + 2*I*c) + 1) - 120*I*B*a^4*log(e^(2*I*d*x + 2*I*c) + 1) + 280*A*a^4 - 316*I*B*a^4)/(d*e^(10*I*d*x + 10*I*c) + 5*d*e^(8*I*d*x + 8*I*c) + 10*d*e^(6*I*d*x + 6*I*c) + 10*d*e^(4*I*d*x + 4*I*c) + 5*d*e^(2*I*d*x + 2*I*c) + d)","B",0
28,1,408,0,0.746368," ","integrate((a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{-24 i \, A a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 24 \, B a^{4} e^{\left(8 i \, d x + 8 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 96 i \, A a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 96 \, B a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 144 i \, A a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 144 \, B a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 96 i \, A a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 96 \, B a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 72 i \, A a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} - 120 \, B a^{4} e^{\left(6 i \, d x + 6 i \, c\right)} - 180 i \, A a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} - 252 \, B a^{4} e^{\left(4 i \, d x + 4 i \, c\right)} - 152 i \, A a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} - 200 \, B a^{4} e^{\left(2 i \, d x + 2 i \, c\right)} - 24 i \, A a^{4} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 24 \, B a^{4} \log\left(e^{\left(2 i \, d x + 2 i \, c\right)} + 1\right) - 44 i \, A a^{4} - 56 \, B a^{4}}{3 \, {\left(d e^{\left(8 i \, d x + 8 i \, c\right)} + 4 \, d e^{\left(6 i \, d x + 6 i \, c\right)} + 6 \, d e^{\left(4 i \, d x + 4 i \, c\right)} + 4 \, d e^{\left(2 i \, d x + 2 i \, c\right)} + d\right)}}"," ",0,"1/3*(-24*I*A*a^4*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 24*B*a^4*e^(8*I*d*x + 8*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 96*I*A*a^4*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 96*B*a^4*e^(6*I*d*x + 6*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 144*I*A*a^4*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 144*B*a^4*e^(4*I*d*x + 4*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 96*I*A*a^4*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 96*B*a^4*e^(2*I*d*x + 2*I*c)*log(e^(2*I*d*x + 2*I*c) + 1) - 72*I*A*a^4*e^(6*I*d*x + 6*I*c) - 120*B*a^4*e^(6*I*d*x + 6*I*c) - 180*I*A*a^4*e^(4*I*d*x + 4*I*c) - 252*B*a^4*e^(4*I*d*x + 4*I*c) - 152*I*A*a^4*e^(2*I*d*x + 2*I*c) - 200*B*a^4*e^(2*I*d*x + 2*I*c) - 24*I*A*a^4*log(e^(2*I*d*x + 2*I*c) + 1) - 24*B*a^4*log(e^(2*I*d*x + 2*I*c) + 1) - 44*I*A*a^4 - 56*B*a^4)/(d*e^(8*I*d*x + 8*I*c) + 4*d*e^(6*I*d*x + 6*I*c) + 6*d*e^(4*I*d*x + 4*I*c) + 4*d*e^(2*I*d*x + 2*I*c) + d)","B",0
29,1,333,0,2.138111," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 \, A a^{4} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + 6 \, {\left(7 \, A a^{4} - 8 i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) - 12 \, {\left(8 \, A a^{4} - 8 i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 6 \, {\left(7 \, A a^{4} - 8 i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - \frac{77 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 88 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 48 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 84 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 243 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 312 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 96 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 184 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 243 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 312 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 48 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 84 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 77 \, A a^{4} + 88 i \, B a^{4}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{3}}}{6 \, d}"," ",0,"1/6*(6*A*a^4*log(tan(1/2*d*x + 1/2*c)) + 6*(7*A*a^4 - 8*I*B*a^4)*log(tan(1/2*d*x + 1/2*c) + 1) - 12*(8*A*a^4 - 8*I*B*a^4)*log(tan(1/2*d*x + 1/2*c) + I) + 6*(7*A*a^4 - 8*I*B*a^4)*log(tan(1/2*d*x + 1/2*c) - 1) - (77*A*a^4*tan(1/2*d*x + 1/2*c)^6 - 88*I*B*a^4*tan(1/2*d*x + 1/2*c)^6 - 48*I*A*a^4*tan(1/2*d*x + 1/2*c)^5 - 84*B*a^4*tan(1/2*d*x + 1/2*c)^5 - 243*A*a^4*tan(1/2*d*x + 1/2*c)^4 + 312*I*B*a^4*tan(1/2*d*x + 1/2*c)^4 + 96*I*A*a^4*tan(1/2*d*x + 1/2*c)^3 + 184*B*a^4*tan(1/2*d*x + 1/2*c)^3 + 243*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 312*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 48*I*A*a^4*tan(1/2*d*x + 1/2*c) - 84*B*a^4*tan(1/2*d*x + 1/2*c) - 77*A*a^4 + 88*I*B*a^4)/(tan(1/2*d*x + 1/2*c)^2 - 1)^3)/d","B",0
30,1,337,0,3.061203," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \, {\left(4 i \, A a^{4} + 7 \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) + 4 \, {\left(-8 i \, A a^{4} - 8 \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) - 2 \, {\left(-4 i \, A a^{4} - 7 \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - 2 \, {\left(-4 i \, A a^{4} - B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{8 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)} - \frac{12 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 21 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 16 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 24 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 46 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 16 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 12 i \, A a^{4} + 21 \, B a^{4}}{{\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1\right)}^{2}}}{2 \, d}"," ",0,"1/2*(A*a^4*tan(1/2*d*x + 1/2*c) + 2*(4*I*A*a^4 + 7*B*a^4)*log(tan(1/2*d*x + 1/2*c) + 1) + 4*(-8*I*A*a^4 - 8*B*a^4)*log(tan(1/2*d*x + 1/2*c) + I) - 2*(-4*I*A*a^4 - 7*B*a^4)*log(tan(1/2*d*x + 1/2*c) - 1) - 2*(-4*I*A*a^4 - B*a^4)*log(tan(1/2*d*x + 1/2*c)) - (8*I*A*a^4*tan(1/2*d*x + 1/2*c) + 2*B*a^4*tan(1/2*d*x + 1/2*c) + A*a^4)/tan(1/2*d*x + 1/2*c) - (12*I*A*a^4*tan(1/2*d*x + 1/2*c)^4 + 21*B*a^4*tan(1/2*d*x + 1/2*c)^4 + 4*A*a^4*tan(1/2*d*x + 1/2*c)^3 - 16*I*B*a^4*tan(1/2*d*x + 1/2*c)^3 - 24*I*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 46*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 4*A*a^4*tan(1/2*d*x + 1/2*c) + 16*I*B*a^4*tan(1/2*d*x + 1/2*c) + 12*I*A*a^4 + 21*B*a^4)/(tan(1/2*d*x + 1/2*c)^2 - 1)^2)/d","B",0
31,1,317,0,4.137865," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 16 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, {\left(A a^{4} - 4 i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) - 128 \, {\left(A a^{4} - i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 8 \, {\left(A a^{4} - 4 i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) + 8 \, {\left(7 \, A a^{4} - 4 i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{8 \, {\left(A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 2 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{4} + 4 i \, B a^{4}\right)}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1} - \frac{84 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 48 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 16 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"-1/8*(A*a^4*tan(1/2*d*x + 1/2*c)^2 - 16*I*A*a^4*tan(1/2*d*x + 1/2*c) - 4*B*a^4*tan(1/2*d*x + 1/2*c) + 8*(A*a^4 - 4*I*B*a^4)*log(tan(1/2*d*x + 1/2*c) + 1) - 128*(A*a^4 - I*B*a^4)*log(tan(1/2*d*x + 1/2*c) + I) + 8*(A*a^4 - 4*I*B*a^4)*log(tan(1/2*d*x + 1/2*c) - 1) + 8*(7*A*a^4 - 4*I*B*a^4)*log(tan(1/2*d*x + 1/2*c)) - 8*(A*a^4*tan(1/2*d*x + 1/2*c)^2 - 4*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 2*B*a^4*tan(1/2*d*x + 1/2*c) - A*a^4 + 4*I*B*a^4)/(tan(1/2*d*x + 1/2*c)^2 - 1) - (84*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 48*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 16*I*A*a^4*tan(1/2*d*x + 1/2*c) - 4*B*a^4*tan(1/2*d*x + 1/2*c) - A*a^4)/tan(1/2*d*x + 1/2*c)^2)/d","B",0
32,1,291,0,5.487546," ","integrate(cot(d*x+c)^4*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 12 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 24 \, B a^{4} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1\right) - 24 \, B a^{4} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1\right) - 87 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 48 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 48 \, {\left(8 i \, A a^{4} + 8 \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) - 24 \, {\left(8 i \, A a^{4} + 7 \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{-352 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 308 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 87 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 48 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 12 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a^4*tan(1/2*d*x + 1/2*c)^3 - 12*I*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 3*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 24*B*a^4*log(tan(1/2*d*x + 1/2*c) + 1) - 24*B*a^4*log(tan(1/2*d*x + 1/2*c) - 1) - 87*A*a^4*tan(1/2*d*x + 1/2*c) + 48*I*B*a^4*tan(1/2*d*x + 1/2*c) + 48*(8*I*A*a^4 + 8*B*a^4)*log(tan(1/2*d*x + 1/2*c) + I) - 24*(8*I*A*a^4 + 7*B*a^4)*log(tan(1/2*d*x + 1/2*c)) - (-352*I*A*a^4*tan(1/2*d*x + 1/2*c)^3 - 308*B*a^4*tan(1/2*d*x + 1/2*c)^3 - 87*A*a^4*tan(1/2*d*x + 1/2*c)^2 + 48*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 + 12*I*A*a^4*tan(1/2*d*x + 1/2*c) + 3*B*a^4*tan(1/2*d*x + 1/2*c) + A*a^4)/tan(1/2*d*x + 1/2*c)^3)/d","A",0
33,1,322,0,7.277186," ","integrate(cot(d*x+c)^5*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 32 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 8 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 180 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 96 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 864 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 696 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3072 \, {\left(A a^{4} - i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) - 1536 \, {\left(A a^{4} - i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{3200 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 3200 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 864 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 696 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 180 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 96 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 32 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a^4*tan(1/2*d*x + 1/2*c)^4 - 32*I*A*a^4*tan(1/2*d*x + 1/2*c)^3 - 8*B*a^4*tan(1/2*d*x + 1/2*c)^3 - 180*A*a^4*tan(1/2*d*x + 1/2*c)^2 + 96*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 + 864*I*A*a^4*tan(1/2*d*x + 1/2*c) + 696*B*a^4*tan(1/2*d*x + 1/2*c) + 3072*(A*a^4 - I*B*a^4)*log(tan(1/2*d*x + 1/2*c) + I) - 1536*(A*a^4 - I*B*a^4)*log(tan(1/2*d*x + 1/2*c)) + (3200*A*a^4*tan(1/2*d*x + 1/2*c)^4 - 3200*I*B*a^4*tan(1/2*d*x + 1/2*c)^4 - 864*I*A*a^4*tan(1/2*d*x + 1/2*c)^3 - 696*B*a^4*tan(1/2*d*x + 1/2*c)^3 - 180*A*a^4*tan(1/2*d*x + 1/2*c)^2 + 96*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 + 32*I*A*a^4*tan(1/2*d*x + 1/2*c) + 8*B*a^4*tan(1/2*d*x + 1/2*c) + 3*A*a^4)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
34,1,392,0,9.172432," ","integrate(cot(d*x+c)^6*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 60 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 15 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 310 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 160 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 1200 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 900 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 4740 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4320 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1920 \, {\left(-8 i \, A a^{4} - 8 \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 1920 \, {\left(4 i \, A a^{4} + 4 \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) + \frac{-17536 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 17536 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 4740 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 4320 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 1200 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 900 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 310 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 160 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 60 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 15 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 6 \, A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5}}}{960 \, d}"," ",0,"1/960*(6*A*a^4*tan(1/2*d*x + 1/2*c)^5 - 60*I*A*a^4*tan(1/2*d*x + 1/2*c)^4 - 15*B*a^4*tan(1/2*d*x + 1/2*c)^4 - 310*A*a^4*tan(1/2*d*x + 1/2*c)^3 + 160*I*B*a^4*tan(1/2*d*x + 1/2*c)^3 + 1200*I*A*a^4*tan(1/2*d*x + 1/2*c)^2 + 900*B*a^4*tan(1/2*d*x + 1/2*c)^2 + 4740*A*a^4*tan(1/2*d*x + 1/2*c) - 4320*I*B*a^4*tan(1/2*d*x + 1/2*c) + 1920*(-8*I*A*a^4 - 8*B*a^4)*log(tan(1/2*d*x + 1/2*c) + I) + 1920*(4*I*A*a^4 + 4*B*a^4)*log(tan(1/2*d*x + 1/2*c)) + (-17536*I*A*a^4*tan(1/2*d*x + 1/2*c)^5 - 17536*B*a^4*tan(1/2*d*x + 1/2*c)^5 - 4740*A*a^4*tan(1/2*d*x + 1/2*c)^4 + 4320*I*B*a^4*tan(1/2*d*x + 1/2*c)^4 + 1200*I*A*a^4*tan(1/2*d*x + 1/2*c)^3 + 900*B*a^4*tan(1/2*d*x + 1/2*c)^3 + 310*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 160*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 60*I*A*a^4*tan(1/2*d*x + 1/2*c) - 15*B*a^4*tan(1/2*d*x + 1/2*c) - 6*A*a^4)/tan(1/2*d*x + 1/2*c)^5)/d","B",0
35,1,459,0,10.240881," ","integrate(cot(d*x+c)^7*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{5 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 48 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 12 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 240 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 120 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 880 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 620 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 2835 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 2400 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 10080 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 9480 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 30720 \, {\left(A a^{4} - i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + i\right) + 15360 \, {\left(A a^{4} - i \, B a^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)\right) - \frac{37632 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 37632 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 10080 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 9480 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 2835 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 2400 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 880 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 620 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 240 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 120 i \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 48 i \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 12 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 5 \, A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6}}}{1920 \, d}"," ",0,"-1/1920*(5*A*a^4*tan(1/2*d*x + 1/2*c)^6 - 48*I*A*a^4*tan(1/2*d*x + 1/2*c)^5 - 12*B*a^4*tan(1/2*d*x + 1/2*c)^5 - 240*A*a^4*tan(1/2*d*x + 1/2*c)^4 + 120*I*B*a^4*tan(1/2*d*x + 1/2*c)^4 + 880*I*A*a^4*tan(1/2*d*x + 1/2*c)^3 + 620*B*a^4*tan(1/2*d*x + 1/2*c)^3 + 2835*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 2400*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 10080*I*A*a^4*tan(1/2*d*x + 1/2*c) - 9480*B*a^4*tan(1/2*d*x + 1/2*c) - 30720*(A*a^4 - I*B*a^4)*log(tan(1/2*d*x + 1/2*c) + I) + 15360*(A*a^4 - I*B*a^4)*log(tan(1/2*d*x + 1/2*c)) - (37632*A*a^4*tan(1/2*d*x + 1/2*c)^6 - 37632*I*B*a^4*tan(1/2*d*x + 1/2*c)^6 - 10080*I*A*a^4*tan(1/2*d*x + 1/2*c)^5 - 9480*B*a^4*tan(1/2*d*x + 1/2*c)^5 - 2835*A*a^4*tan(1/2*d*x + 1/2*c)^4 + 2400*I*B*a^4*tan(1/2*d*x + 1/2*c)^4 + 880*I*A*a^4*tan(1/2*d*x + 1/2*c)^3 + 620*B*a^4*tan(1/2*d*x + 1/2*c)^3 + 240*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 120*I*B*a^4*tan(1/2*d*x + 1/2*c)^2 - 48*I*A*a^4*tan(1/2*d*x + 1/2*c) - 12*B*a^4*tan(1/2*d*x + 1/2*c) - 5*A*a^4)/tan(1/2*d*x + 1/2*c)^6)/d","B",0
36,1,125,0,0.938128," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\frac{\frac{{\left(5 \, A + 7 i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a} - \frac{{\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a} - \frac{2 \, {\left(i \, B a \tan\left(d x + c\right)^{2} + 2 i \, A a \tan\left(d x + c\right) - 2 \, B a \tan\left(d x + c\right)\right)}}{a^{2}} - \frac{5 \, A \tan\left(d x + c\right) + 7 i \, B \tan\left(d x + c\right) - 3 i \, A + 5 \, B}{a {\left(\tan\left(d x + c\right) - i\right)}}}{4 \, d}"," ",0,"1/4*((5*A + 7*I*B)*log(tan(d*x + c) - I)/a - (A - I*B)*log(-I*tan(d*x + c) + 1)/a - 2*(I*B*a*tan(d*x + c)^2 + 2*I*A*a*tan(d*x + c) - 2*B*a*tan(d*x + c))/a^2 - (5*A*tan(d*x + c) + 7*I*B*tan(d*x + c) - 3*I*A + 5*B)/(a*(tan(d*x + c) - I)))/d","A",0
37,1,101,0,0.572056," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\frac{\frac{{\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a} - \frac{{\left(3 i \, A - 5 \, B\right)} \log\left(-i \, \tan\left(d x + c\right) - 1\right)}{a} - \frac{4 i \, B \tan\left(d x + c\right)}{a} - \frac{-3 i \, A \tan\left(d x + c\right) + 5 \, B \tan\left(d x + c\right) - A - 3 i \, B}{a {\left(\tan\left(d x + c\right) - i\right)}}}{4 \, d}"," ",0,"1/4*((-I*A - B)*log(tan(d*x + c) + I)/a - (3*I*A - 5*B)*log(-I*tan(d*x + c) - 1)/a - 4*I*B*tan(d*x + c)/a - (-3*I*A*tan(d*x + c) + 5*B*tan(d*x + c) - A - 3*I*B)/(a*(tan(d*x + c) - I)))/d","A",0
38,1,82,0,0.339875," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{{\left(A + 3 i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a} - \frac{{\left(A - i \, B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a} - \frac{A \tan\left(d x + c\right) + 3 i \, B \tan\left(d x + c\right) + i \, A + B}{a {\left(\tan\left(d x + c\right) - i\right)}}}{4 \, d}"," ",0,"-1/4*((A + 3*I*B)*log(tan(d*x + c) - I)/a - (A - I*B)*log(I*tan(d*x + c) - 1)/a - (A*tan(d*x + c) + 3*I*B*tan(d*x + c) + I*A + B)/(a*(tan(d*x + c) - I)))/d","A",0
39,1,85,0,0.289025," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{{\left(i \, A + B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a} + \frac{{\left(-i \, A - B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a} + \frac{-i \, A \tan\left(d x + c\right) - B \tan\left(d x + c\right) - 3 \, A - i \, B}{a {\left(\tan\left(d x + c\right) - i\right)}}}{4 \, d}"," ",0,"-1/4*((I*A + B)*log(tan(d*x + c) - I)/a + (-I*A - B)*log(-I*tan(d*x + c) + 1)/a + (-I*A*tan(d*x + c) - B*tan(d*x + c) - 3*A - I*B)/(a*(tan(d*x + c) - I)))/d","B",0
40,1,99,0,0.456597," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{{\left(3 \, A + i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a} + \frac{{\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a} - \frac{4 \, A \log\left(\tan\left(d x + c\right)\right)}{a} - \frac{3 \, A \tan\left(d x + c\right) + i \, B \tan\left(d x + c\right) - 5 i \, A + 3 \, B}{a {\left(\tan\left(d x + c\right) - i\right)}}}{4 \, d}"," ",0,"-1/4*((3*A + I*B)*log(tan(d*x + c) - I)/a + (A - I*B)*log(-I*tan(d*x + c) + 1)/a - 4*A*log(tan(d*x + c))/a - (3*A*tan(d*x + c) + I*B*tan(d*x + c) - 5*I*A + 3*B)/(a*(tan(d*x + c) - I)))/d","A",0
41,1,135,0,0.698483," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(-5 i \, A + 3 \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a} + \frac{2 \, {\left(i \, A + B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a} + \frac{8 \, {\left(i \, A - B\right)} \log\left(\tan\left(d x + c\right)\right)}{a} + \frac{A \tan\left(d x + c\right)^{2} - i \, B \tan\left(d x + c\right)^{2} - 13 i \, A \tan\left(d x + c\right) + 3 \, B \tan\left(d x + c\right) - 8 \, A}{{\left(-i \, \tan\left(d x + c\right)^{2} - \tan\left(d x + c\right)\right)} a}}{8 \, d}"," ",0,"-1/8*(2*(-5*I*A + 3*B)*log(tan(d*x + c) - I)/a + 2*(I*A + B)*log(-I*tan(d*x + c) + 1)/a + 8*(I*A - B)*log(tan(d*x + c))/a + (A*tan(d*x + c)^2 - I*B*tan(d*x + c)^2 - 13*I*A*tan(d*x + c) + 3*B*tan(d*x + c) - 8*A)/((-I*tan(d*x + c)^2 - tan(d*x + c))*a))/d","A",0
42,1,165,0,0.950993," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(2 \, A + i \, B\right)} \log\left(-i \, \tan\left(d x + c\right)\right)}{a} - \frac{{\left(7 \, A + 5 i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a} - \frac{{\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a} + \frac{7 \, A \tan\left(d x + c\right) + 5 i \, B \tan\left(d x + c\right) - 9 i \, A + 7 \, B}{a {\left(\tan\left(d x + c\right) - i\right)}} - \frac{2 \, {\left(6 \, A \tan\left(d x + c\right)^{2} + 3 i \, B \tan\left(d x + c\right)^{2} + 2 i \, A \tan\left(d x + c\right) - 2 \, B \tan\left(d x + c\right) - A\right)}}{a \tan\left(d x + c\right)^{2}}}{4 \, d}"," ",0,"-1/4*(4*(2*A + I*B)*log(-I*tan(d*x + c))/a - (7*A + 5*I*B)*log(tan(d*x + c) - I)/a - (A - I*B)*log(-I*tan(d*x + c) + 1)/a + (7*A*tan(d*x + c) + 5*I*B*tan(d*x + c) - 9*I*A + 7*B)/(a*(tan(d*x + c) - I)) - 2*(6*A*tan(d*x + c)^2 + 3*I*B*tan(d*x + c)^2 + 2*I*A*tan(d*x + c) - 2*B*tan(d*x + c) - A)/(a*tan(d*x + c)^2))/d","A",0
43,1,186,0,1.302810," ","integrate(cot(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{3 \, {\left(9 i \, A - 7 \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a} + \frac{3 \, {\left(-i \, A - B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a} + \frac{24 \, {\left(-i \, A + B\right)} \log\left(\tan\left(d x + c\right)\right)}{a} + \frac{3 \, {\left(-9 i \, A \tan\left(d x + c\right) + 7 \, B \tan\left(d x + c\right) - 11 \, A - 9 i \, B\right)}}{a {\left(\tan\left(d x + c\right) - i\right)}} + \frac{2 i \, {\left(22 \, A \tan\left(d x + c\right)^{3} + 22 i \, B \tan\left(d x + c\right)^{3} + 12 i \, A \tan\left(d x + c\right)^{2} - 6 \, B \tan\left(d x + c\right)^{2} - 3 \, A \tan\left(d x + c\right) - 3 i \, B \tan\left(d x + c\right) - 2 i \, A\right)}}{a \tan\left(d x + c\right)^{3}}}{12 \, d}"," ",0,"-1/12*(3*(9*I*A - 7*B)*log(tan(d*x + c) - I)/a + 3*(-I*A - B)*log(-I*tan(d*x + c) + 1)/a + 24*(-I*A + B)*log(tan(d*x + c))/a + 3*(-9*I*A*tan(d*x + c) + 7*B*tan(d*x + c) - 11*A - 9*I*B)/(a*(tan(d*x + c) - I)) + 2*I*(22*A*tan(d*x + c)^3 + 22*I*B*tan(d*x + c)^3 + 12*I*A*tan(d*x + c)^2 - 6*B*tan(d*x + c)^2 - 3*A*tan(d*x + c) - 3*I*B*tan(d*x + c) - 2*I*A)/(a*tan(d*x + c)^3))/d","A",0
44,1,120,0,1.085433," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A - i \, B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{2}} + \frac{2 \, {\left(7 \, A + 17 i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{2}} + \frac{16 \, B \tan\left(d x + c\right)}{a^{2}} - \frac{21 \, A \tan\left(d x + c\right)^{2} + 51 i \, B \tan\left(d x + c\right)^{2} - 22 i \, A \tan\left(d x + c\right) + 74 \, B \tan\left(d x + c\right) - 5 \, A - 27 i \, B}{a^{2} {\left(\tan\left(d x + c\right) - i\right)}^{2}}}{16 \, d}"," ",0,"-1/16*(2*(A - I*B)*log(tan(d*x + c) + I)/a^2 + 2*(7*A + 17*I*B)*log(tan(d*x + c) - I)/a^2 + 16*B*tan(d*x + c)/a^2 - (21*A*tan(d*x + c)^2 + 51*I*B*tan(d*x + c)^2 - 22*I*A*tan(d*x + c) + 74*B*tan(d*x + c) - 5*A - 27*I*B)/(a^2*(tan(d*x + c) - I)^2))/d","A",0
45,1,107,0,0.761116," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(i \, A + B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{2}} + \frac{2 \, {\left(-i \, A + 7 \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{2}} + \frac{3 i \, A \tan\left(d x + c\right)^{2} - 21 \, B \tan\left(d x + c\right)^{2} - 6 \, A \tan\left(d x + c\right) + 22 i \, B \tan\left(d x + c\right) + 5 i \, A + 5 \, B}{a^{2} {\left(\tan\left(d x + c\right) - i\right)}^{2}}}{16 \, d}"," ",0,"-1/16*(2*(I*A + B)*log(tan(d*x + c) + I)/a^2 + 2*(-I*A + 7*B)*log(tan(d*x + c) - I)/a^2 + (3*I*A*tan(d*x + c)^2 - 21*B*tan(d*x + c)^2 - 6*A*tan(d*x + c) + 22*I*B*tan(d*x + c) + 5*I*A + 5*B)/(a^2*(tan(d*x + c) - I)^2))/d","A",0
46,1,109,0,0.471468," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a^{2}} - \frac{2 \, {\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) - 1\right)}{a^{2}} + \frac{3 \, A \tan\left(d x + c\right)^{2} - 3 i \, B \tan\left(d x + c\right)^{2} - 10 i \, A \tan\left(d x + c\right) + 6 \, B \tan\left(d x + c\right) - 3 \, A - 5 i \, B}{a^{2} {\left(\tan\left(d x + c\right) - i\right)}^{2}}}{16 \, d}"," ",0,"1/16*(2*(A - I*B)*log(-I*tan(d*x + c) + 1)/a^2 - 2*(A - I*B)*log(-I*tan(d*x + c) - 1)/a^2 + (3*A*tan(d*x + c)^2 - 3*I*B*tan(d*x + c)^2 - 10*I*A*tan(d*x + c) + 6*B*tan(d*x + c) - 3*A - 5*I*B)/(a^2*(tan(d*x + c) - I)^2))/d","A",0
47,1,110,0,0.411633," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{2}} - \frac{2 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{2}} - \frac{3 i \, A \tan\left(d x + c\right)^{2} + 3 \, B \tan\left(d x + c\right)^{2} + 10 \, A \tan\left(d x + c\right) - 10 i \, B \tan\left(d x + c\right) - 11 i \, A - 3 \, B}{a^{2} {\left(\tan\left(d x + c\right) - i\right)}^{2}}}{16 \, d}"," ",0,"-1/16*(2*(-I*A - B)*log(tan(d*x + c) + I)/a^2 - 2*(-I*A - B)*log(tan(d*x + c) - I)/a^2 - (3*I*A*tan(d*x + c)^2 + 3*B*tan(d*x + c)^2 + 10*A*tan(d*x + c) - 10*I*B*tan(d*x + c) - 11*I*A - 3*B)/(a^2*(tan(d*x + c) - I)^2))/d","A",0
48,1,121,0,0.847658," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A - i \, B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{2}} + \frac{2 \, {\left(7 \, A + i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{2}} - \frac{16 \, A \log\left(\tan\left(d x + c\right)\right)}{a^{2}} - \frac{21 \, A \tan\left(d x + c\right)^{2} + 3 i \, B \tan\left(d x + c\right)^{2} - 54 i \, A \tan\left(d x + c\right) + 10 \, B \tan\left(d x + c\right) - 37 \, A - 11 i \, B}{a^{2} {\left(\tan\left(d x + c\right) - i\right)}^{2}}}{16 \, d}"," ",0,"-1/16*(2*(A - I*B)*log(tan(d*x + c) + I)/a^2 + 2*(7*A + I*B)*log(tan(d*x + c) - I)/a^2 - 16*A*log(tan(d*x + c))/a^2 - (21*A*tan(d*x + c)^2 + 3*I*B*tan(d*x + c)^2 - 54*I*A*tan(d*x + c) + 10*B*tan(d*x + c) - 37*A - 11*I*B)/(a^2*(tan(d*x + c) - I)^2))/d","A",0
49,1,161,0,1.286986," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{2}} - \frac{2 \, {\left(-17 i \, A + 7 \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{2}} - \frac{16 \, {\left(2 i \, A - B\right)} \log\left(\tan\left(d x + c\right)\right)}{a^{2}} - \frac{16 \, {\left(-2 i \, A \tan\left(d x + c\right) + B \tan\left(d x + c\right) + A\right)}}{a^{2} \tan\left(d x + c\right)} - \frac{51 i \, A \tan\left(d x + c\right)^{2} - 21 \, B \tan\left(d x + c\right)^{2} + 122 \, A \tan\left(d x + c\right) + 54 i \, B \tan\left(d x + c\right) - 75 i \, A + 37 \, B}{a^{2} {\left(\tan\left(d x + c\right) - i\right)}^{2}}}{16 \, d}"," ",0,"1/16*(2*(-I*A - B)*log(tan(d*x + c) + I)/a^2 - 2*(-17*I*A + 7*B)*log(tan(d*x + c) - I)/a^2 - 16*(2*I*A - B)*log(tan(d*x + c))/a^2 - 16*(-2*I*A*tan(d*x + c) + B*tan(d*x + c) + A)/(a^2*tan(d*x + c)) - (51*I*A*tan(d*x + c)^2 - 21*B*tan(d*x + c)^2 + 122*A*tan(d*x + c) + 54*I*B*tan(d*x + c) - 75*I*A + 37*B)/(a^2*(tan(d*x + c) - I)^2))/d","A",0
50,1,176,0,1.808310," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{4 \, {\left(A - i \, B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{2}} + \frac{4 \, {\left(31 \, A + 17 i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{2}} - \frac{64 \, {\left(2 \, A + i \, B\right)} \log\left(\tan\left(d x + c\right)\right)}{a^{2}} + \frac{3 \, A \tan\left(d x + c\right)^{4} - 3 i \, B \tan\left(d x + c\right)^{4} + 114 i \, A \tan\left(d x + c\right)^{3} - 78 \, B \tan\left(d x + c\right)^{3} + 173 \, A \tan\left(d x + c\right)^{2} + 115 i \, B \tan\left(d x + c\right)^{2} - 32 i \, A \tan\left(d x + c\right) + 32 \, B \tan\left(d x + c\right) + 16 \, A}{{\left(\tan\left(d x + c\right)^{2} - i \, \tan\left(d x + c\right)\right)}^{2} a^{2}}}{32 \, d}"," ",0,"1/32*(4*(A - I*B)*log(tan(d*x + c) + I)/a^2 + 4*(31*A + 17*I*B)*log(tan(d*x + c) - I)/a^2 - 64*(2*A + I*B)*log(tan(d*x + c))/a^2 + (3*A*tan(d*x + c)^4 - 3*I*B*tan(d*x + c)^4 + 114*I*A*tan(d*x + c)^3 - 78*B*tan(d*x + c)^3 + 173*A*tan(d*x + c)^2 + 115*I*B*tan(d*x + c)^2 - 32*I*A*tan(d*x + c) + 32*B*tan(d*x + c) + 16*A)/((tan(d*x + c)^2 - I*tan(d*x + c))^2*a^2))/d","A",0
51,1,144,0,1.915790," ","integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(i \, A + B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{3}} - \frac{6 \, {\left(-15 i \, A + 49 \, B\right)} \log\left(i \, \tan\left(d x + c\right) + 1\right)}{a^{3}} + \frac{96 i \, B \tan\left(d x + c\right)}{a^{3}} - \frac{165 i \, A \tan\left(d x + c\right)^{3} - 539 \, B \tan\left(d x + c\right)^{3} + 291 \, A \tan\left(d x + c\right)^{2} + 1245 i \, B \tan\left(d x + c\right)^{2} - 171 i \, A \tan\left(d x + c\right) + 981 \, B \tan\left(d x + c\right) - 29 \, A - 259 i \, B}{a^{3} {\left(\tan\left(d x + c\right) - i\right)}^{3}}}{96 \, d}"," ",0,"1/96*(6*(I*A + B)*log(tan(d*x + c) + I)/a^3 - 6*(-15*I*A + 49*B)*log(I*tan(d*x + c) + 1)/a^3 + 96*I*B*tan(d*x + c)/a^3 - (165*I*A*tan(d*x + c)^3 - 539*B*tan(d*x + c)^3 + 291*A*tan(d*x + c)^2 + 1245*I*B*tan(d*x + c)^2 - 171*I*A*tan(d*x + c) + 981*B*tan(d*x + c) - 29*A - 259*I*B)/(a^3*(tan(d*x + c) - I)^3))/d","A",0
52,1,130,0,1.399943," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(A + 15 i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{3}} - \frac{6 \, {\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a^{3}} - \frac{11 \, A \tan\left(d x + c\right)^{3} + 165 i \, B \tan\left(d x + c\right)^{3} + 51 i \, A \tan\left(d x + c\right)^{2} + 291 \, B \tan\left(d x + c\right)^{2} + 75 \, A \tan\left(d x + c\right) - 171 i \, B \tan\left(d x + c\right) - 29 i \, A - 29 \, B}{a^{3} {\left(\tan\left(d x + c\right) - i\right)}^{3}}}{96 \, d}"," ",0,"1/96*(6*(A + 15*I*B)*log(tan(d*x + c) - I)/a^3 - 6*(A - I*B)*log(-I*tan(d*x + c) + 1)/a^3 - (11*A*tan(d*x + c)^3 + 165*I*B*tan(d*x + c)^3 + 51*I*A*tan(d*x + c)^2 + 291*B*tan(d*x + c)^2 + 75*A*tan(d*x + c) - 171*I*B*tan(d*x + c) - 29*I*A - 29*B)/(a^3*(tan(d*x + c) - I)^3))/d","A",0
53,1,131,0,1.037727," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{3}} + \frac{6 \, {\left(i \, A + B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a^{3}} + \frac{11 i \, A \tan\left(d x + c\right)^{3} + 11 \, B \tan\left(d x + c\right)^{3} + 45 \, A \tan\left(d x + c\right)^{2} + 51 i \, B \tan\left(d x + c\right)^{2} - 21 i \, A \tan\left(d x + c\right) + 75 \, B \tan\left(d x + c\right) - 3 \, A - 29 i \, B}{a^{3} {\left(\tan\left(d x + c\right) - i\right)}^{3}}}{96 \, d}"," ",0,"-1/96*(6*(-I*A - B)*log(tan(d*x + c) - I)/a^3 + 6*(I*A + B)*log(I*tan(d*x + c) - 1)/a^3 + (11*I*A*tan(d*x + c)^3 + 11*B*tan(d*x + c)^3 + 45*A*tan(d*x + c)^2 + 51*I*B*tan(d*x + c)^2 - 21*I*A*tan(d*x + c) + 75*B*tan(d*x + c) - 3*A - 29*I*B)/(a^3*(tan(d*x + c) - I)^3))/d","A",0
54,1,130,0,0.740052," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(A - i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{3}} - \frac{6 \, {\left(A - i \, B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a^{3}} - \frac{11 \, A \tan\left(d x + c\right)^{3} - 11 i \, B \tan\left(d x + c\right)^{3} - 45 i \, A \tan\left(d x + c\right)^{2} - 45 \, B \tan\left(d x + c\right)^{2} - 69 \, A \tan\left(d x + c\right) + 21 i \, B \tan\left(d x + c\right) + 19 i \, A + 3 \, B}{a^{3} {\left(\tan\left(d x + c\right) - i\right)}^{3}}}{96 \, d}"," ",0,"-1/96*(6*(A - I*B)*log(tan(d*x + c) - I)/a^3 - 6*(A - I*B)*log(I*tan(d*x + c) - 1)/a^3 - (11*A*tan(d*x + c)^3 - 11*I*B*tan(d*x + c)^3 - 45*I*A*tan(d*x + c)^2 - 45*B*tan(d*x + c)^2 - 69*A*tan(d*x + c) + 21*I*B*tan(d*x + c) + 19*I*A + 3*B)/(a^3*(tan(d*x + c) - I)^3))/d","A",0
55,1,131,0,0.694849," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(i \, A + B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{3}} + \frac{6 \, {\left(-i \, A - B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a^{3}} + \frac{-11 i \, A \tan\left(d x + c\right)^{3} - 11 \, B \tan\left(d x + c\right)^{3} - 45 \, A \tan\left(d x + c\right)^{2} + 45 i \, B \tan\left(d x + c\right)^{2} + 69 i \, A \tan\left(d x + c\right) + 69 \, B \tan\left(d x + c\right) + 51 \, A - 19 i \, B}{a^{3} {\left(\tan\left(d x + c\right) - i\right)}^{3}}}{96 \, d}"," ",0,"-1/96*(6*(I*A + B)*log(tan(d*x + c) - I)/a^3 + 6*(-I*A - B)*log(I*tan(d*x + c) - 1)/a^3 + (-11*I*A*tan(d*x + c)^3 - 11*B*tan(d*x + c)^3 - 45*A*tan(d*x + c)^2 + 45*I*B*tan(d*x + c)^2 + 69*I*A*tan(d*x + c) + 69*B*tan(d*x + c) + 51*A - 19*I*B)/(a^3*(tan(d*x + c) - I)^3))/d","A",0
56,1,145,0,1.553439," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(15 \, A + i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{3}} + \frac{6 \, {\left(A - i \, B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a^{3}} - \frac{96 \, A \log\left(\tan\left(d x + c\right)\right)}{a^{3}} - \frac{165 \, A \tan\left(d x + c\right)^{3} + 11 i \, B \tan\left(d x + c\right)^{3} - 579 i \, A \tan\left(d x + c\right)^{2} + 45 \, B \tan\left(d x + c\right)^{2} - 699 \, A \tan\left(d x + c\right) - 69 i \, B \tan\left(d x + c\right) + 301 i \, A - 51 \, B}{a^{3} {\left(\tan\left(d x + c\right) - i\right)}^{3}}}{96 \, d}"," ",0,"-1/96*(6*(15*A + I*B)*log(tan(d*x + c) - I)/a^3 + 6*(A - I*B)*log(I*tan(d*x + c) - 1)/a^3 - 96*A*log(tan(d*x + c))/a^3 - (165*A*tan(d*x + c)^3 + 11*I*B*tan(d*x + c)^3 - 579*I*A*tan(d*x + c)^2 + 45*B*tan(d*x + c)^2 - 699*A*tan(d*x + c) - 69*I*B*tan(d*x + c) + 301*I*A - 51*B)/(a^3*(tan(d*x + c) - I)^3))/d","A",0
57,1,186,0,2.277252," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-49 i \, A + 15 \, B\right)} \log\left(i \, \tan\left(d x + c\right) + 1\right)}{a^{3}} + \frac{6 \, {\left(i \, A + B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a^{3}} + \frac{96 \, {\left(3 i \, A - B\right)} \log\left(\tan\left(d x + c\right)\right)}{a^{3}} + \frac{96 \, {\left(-3 i \, A \tan\left(d x + c\right) + B \tan\left(d x + c\right) + A\right)}}{a^{3} \tan\left(d x + c\right)} + \frac{539 \, A \tan\left(d x + c\right)^{3} + 165 i \, B \tan\left(d x + c\right)^{3} - 1821 i \, A \tan\left(d x + c\right)^{2} + 579 \, B \tan\left(d x + c\right)^{2} - 2085 \, A \tan\left(d x + c\right) - 699 i \, B \tan\left(d x + c\right) + 819 i \, A - 301 \, B}{a^{3} {\left(i \, \tan\left(d x + c\right) + 1\right)}^{3}}}{96 \, d}"," ",0,"-1/96*(6*(-49*I*A + 15*B)*log(I*tan(d*x + c) + 1)/a^3 + 6*(I*A + B)*log(I*tan(d*x + c) - 1)/a^3 + 96*(3*I*A - B)*log(tan(d*x + c))/a^3 + 96*(-3*I*A*tan(d*x + c) + B*tan(d*x + c) + A)/(a^3*tan(d*x + c)) + (539*A*tan(d*x + c)^3 + 165*I*B*tan(d*x + c)^3 - 1821*I*A*tan(d*x + c)^2 + 579*B*tan(d*x + c)^2 - 2085*A*tan(d*x + c) - 699*I*B*tan(d*x + c) + 819*I*A - 301*B)/(a^3*(I*tan(d*x + c) + 1)^3))/d","A",0
58,1,211,0,3.767595," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(111 \, A + 49 i \, B\right)} \log\left(i \, \tan\left(d x + c\right) + 1\right)}{a^{3}} + \frac{6 \, {\left(A - i \, B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a^{3}} - \frac{96 \, {\left(7 \, A + 3 i \, B\right)} \log\left(\tan\left(d x + c\right)\right)}{a^{3}} + \frac{48 \, {\left(21 \, A \tan\left(d x + c\right)^{2} + 9 i \, B \tan\left(d x + c\right)^{2} + 6 i \, A \tan\left(d x + c\right) - 2 \, B \tan\left(d x + c\right) - A\right)}}{a^{3} \tan\left(d x + c\right)^{2}} + \frac{1221 i \, A \tan\left(d x + c\right)^{3} - 539 \, B \tan\left(d x + c\right)^{3} + 4035 \, A \tan\left(d x + c\right)^{2} + 1821 i \, B \tan\left(d x + c\right)^{2} - 4491 i \, A \tan\left(d x + c\right) + 2085 \, B \tan\left(d x + c\right) - 1693 \, A - 819 i \, B}{a^{3} {\left(i \, \tan\left(d x + c\right) + 1\right)}^{3}}}{96 \, d}"," ",0,"1/96*(6*(111*A + 49*I*B)*log(I*tan(d*x + c) + 1)/a^3 + 6*(A - I*B)*log(I*tan(d*x + c) - 1)/a^3 - 96*(7*A + 3*I*B)*log(tan(d*x + c))/a^3 + 48*(21*A*tan(d*x + c)^2 + 9*I*B*tan(d*x + c)^2 + 6*I*A*tan(d*x + c) - 2*B*tan(d*x + c) - A)/(a^3*tan(d*x + c)^2) + (1221*I*A*tan(d*x + c)^3 - 539*B*tan(d*x + c)^3 + 4035*A*tan(d*x + c)^2 + 1821*I*B*tan(d*x + c)^2 - 4491*I*A*tan(d*x + c) + 2085*B*tan(d*x + c) - 1693*A - 819*I*B)/(a^3*(I*tan(d*x + c) + 1)^3))/d","A",0
59,1,154,0,2.182245," ","integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{4}} - \frac{12 \, {\left(-i \, A + 31 \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{4}} - \frac{25 i \, A \tan\left(d x + c\right)^{4} - 775 \, B \tan\left(d x + c\right)^{4} - 260 \, A \tan\left(d x + c\right)^{3} + 1924 i \, B \tan\left(d x + c\right)^{3} + 522 i \, A \tan\left(d x + c\right)^{2} + 1866 \, B \tan\left(d x + c\right)^{2} + 388 \, A \tan\left(d x + c\right) - 772 i \, B \tan\left(d x + c\right) - 103 i \, A - 103 \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"-1/384*(12*(-I*A - B)*log(tan(d*x + c) + I)/a^4 - 12*(-I*A + 31*B)*log(tan(d*x + c) - I)/a^4 - (25*I*A*tan(d*x + c)^4 - 775*B*tan(d*x + c)^4 - 260*A*tan(d*x + c)^3 + 1924*I*B*tan(d*x + c)^3 + 522*I*A*tan(d*x + c)^2 + 1866*B*tan(d*x + c)^2 + 388*A*tan(d*x + c) - 772*I*B*tan(d*x + c) - 103*I*A - 103*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
60,1,153,0,1.629402," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) + 1\right)}{a^{4}} - \frac{12 \, {\left(A - i \, B\right)} \log\left(-i \, \tan\left(d x + c\right) - 1\right)}{a^{4}} + \frac{25 \, A \tan\left(d x + c\right)^{4} - 25 i \, B \tan\left(d x + c\right)^{4} - 124 i \, A \tan\left(d x + c\right)^{3} + 260 \, B \tan\left(d x + c\right)^{3} - 54 \, A \tan\left(d x + c\right)^{2} - 522 i \, B \tan\left(d x + c\right)^{2} - 4 i \, A \tan\left(d x + c\right) - 388 \, B \tan\left(d x + c\right) - 7 \, A + 103 i \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"-1/384*(12*(A - I*B)*log(-I*tan(d*x + c) + 1)/a^4 - 12*(A - I*B)*log(-I*tan(d*x + c) - 1)/a^4 + (25*A*tan(d*x + c)^4 - 25*I*B*tan(d*x + c)^4 - 124*I*A*tan(d*x + c)^3 + 260*B*tan(d*x + c)^3 - 54*A*tan(d*x + c)^2 - 522*I*B*tan(d*x + c)^2 - 4*I*A*tan(d*x + c) - 388*B*tan(d*x + c) - 7*A + 103*I*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
61,1,151,0,1.287415," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(i \, A + B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{4}} + \frac{12 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{4}} + \frac{25 i \, A \tan\left(d x + c\right)^{4} + 25 \, B \tan\left(d x + c\right)^{4} + 124 \, A \tan\left(d x + c\right)^{3} - 124 i \, B \tan\left(d x + c\right)^{3} - 246 i \, A \tan\left(d x + c\right)^{2} - 54 \, B \tan\left(d x + c\right)^{2} - 124 \, A \tan\left(d x + c\right) - 4 i \, B \tan\left(d x + c\right) + 25 i \, A - 7 \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"-1/384*(12*(I*A + B)*log(tan(d*x + c) + I)/a^4 + 12*(-I*A - B)*log(tan(d*x + c) - I)/a^4 + (25*I*A*tan(d*x + c)^4 + 25*B*tan(d*x + c)^4 + 124*A*tan(d*x + c)^3 - 124*I*B*tan(d*x + c)^3 - 246*I*A*tan(d*x + c)^2 - 54*B*tan(d*x + c)^2 - 124*A*tan(d*x + c) - 4*I*B*tan(d*x + c) + 25*I*A - 7*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
62,1,154,0,0.994910," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(A - i \, B\right)} \log\left(i \, \tan\left(d x + c\right) + 1\right)}{a^{4}} - \frac{12 \, {\left(A - i \, B\right)} \log\left(i \, \tan\left(d x + c\right) - 1\right)}{a^{4}} - \frac{25 \, A \tan\left(d x + c\right)^{4} - 25 i \, B \tan\left(d x + c\right)^{4} - 124 i \, A \tan\left(d x + c\right)^{3} - 124 \, B \tan\left(d x + c\right)^{3} - 246 \, A \tan\left(d x + c\right)^{2} + 246 i \, B \tan\left(d x + c\right)^{2} + 252 i \, A \tan\left(d x + c\right) + 124 \, B \tan\left(d x + c\right) + 57 \, A - 25 i \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"-1/384*(12*(A - I*B)*log(I*tan(d*x + c) + 1)/a^4 - 12*(A - I*B)*log(I*tan(d*x + c) - 1)/a^4 - (25*A*tan(d*x + c)^4 - 25*I*B*tan(d*x + c)^4 - 124*I*A*tan(d*x + c)^3 - 124*B*tan(d*x + c)^3 - 246*A*tan(d*x + c)^2 + 246*I*B*tan(d*x + c)^2 + 252*I*A*tan(d*x + c) + 124*B*tan(d*x + c) + 57*A - 25*I*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
63,1,154,0,0.932280," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{4}} - \frac{12 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{4}} - \frac{25 i \, A \tan\left(d x + c\right)^{4} + 25 \, B \tan\left(d x + c\right)^{4} + 124 \, A \tan\left(d x + c\right)^{3} - 124 i \, B \tan\left(d x + c\right)^{3} - 246 i \, A \tan\left(d x + c\right)^{2} - 246 \, B \tan\left(d x + c\right)^{2} - 252 \, A \tan\left(d x + c\right) + 252 i \, B \tan\left(d x + c\right) + 153 i \, A + 57 \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"-1/384*(12*(-I*A - B)*log(tan(d*x + c) + I)/a^4 - 12*(-I*A - B)*log(tan(d*x + c) - I)/a^4 - (25*I*A*tan(d*x + c)^4 + 25*B*tan(d*x + c)^4 + 124*A*tan(d*x + c)^3 - 124*I*B*tan(d*x + c)^3 - 246*I*A*tan(d*x + c)^2 - 246*B*tan(d*x + c)^2 - 252*A*tan(d*x + c) + 252*I*B*tan(d*x + c) + 153*I*A + 57*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
64,1,165,0,2.097802," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{12 \, {\left(A - i \, B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{4}} + \frac{12 \, {\left(31 \, A + i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{4}} - \frac{384 \, A \log\left(\tan\left(d x + c\right)\right)}{a^{4}} - \frac{775 \, A \tan\left(d x + c\right)^{4} + 25 i \, B \tan\left(d x + c\right)^{4} - 3460 i \, A \tan\left(d x + c\right)^{3} + 124 \, B \tan\left(d x + c\right)^{3} - 5898 \, A \tan\left(d x + c\right)^{2} - 246 i \, B \tan\left(d x + c\right)^{2} + 4612 i \, A \tan\left(d x + c\right) - 252 \, B \tan\left(d x + c\right) + 1447 \, A + 153 i \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"-1/384*(12*(A - I*B)*log(tan(d*x + c) + I)/a^4 + 12*(31*A + I*B)*log(tan(d*x + c) - I)/a^4 - 384*A*log(tan(d*x + c))/a^4 - (775*A*tan(d*x + c)^4 + 25*I*B*tan(d*x + c)^4 - 3460*I*A*tan(d*x + c)^3 + 124*B*tan(d*x + c)^3 - 5898*A*tan(d*x + c)^2 - 246*I*B*tan(d*x + c)^2 + 4612*I*A*tan(d*x + c) - 252*B*tan(d*x + c) + 1447*A + 153*I*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
65,1,205,0,3.512067," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{12 \, {\left(-i \, A - B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{4}} - \frac{12 \, {\left(-129 i \, A + 31 \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{4}} - \frac{384 \, {\left(4 i \, A - B\right)} \log\left(\tan\left(d x + c\right)\right)}{a^{4}} - \frac{384 \, {\left(-4 i \, A \tan\left(d x + c\right) + B \tan\left(d x + c\right) + A\right)}}{a^{4} \tan\left(d x + c\right)} - \frac{3225 i \, A \tan\left(d x + c\right)^{4} - 775 \, B \tan\left(d x + c\right)^{4} + 14076 \, A \tan\left(d x + c\right)^{3} + 3460 i \, B \tan\left(d x + c\right)^{3} - 23286 i \, A \tan\left(d x + c\right)^{2} + 5898 \, B \tan\left(d x + c\right)^{2} - 17404 \, A \tan\left(d x + c\right) - 4612 i \, B \tan\left(d x + c\right) + 5017 i \, A - 1447 \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"1/384*(12*(-I*A - B)*log(tan(d*x + c) + I)/a^4 - 12*(-129*I*A + 31*B)*log(tan(d*x + c) - I)/a^4 - 384*(4*I*A - B)*log(tan(d*x + c))/a^4 - 384*(-4*I*A*tan(d*x + c) + B*tan(d*x + c) + A)/(a^4*tan(d*x + c)) - (3225*I*A*tan(d*x + c)^4 - 775*B*tan(d*x + c)^4 + 14076*A*tan(d*x + c)^3 + 3460*I*B*tan(d*x + c)^3 - 23286*I*A*tan(d*x + c)^2 + 5898*B*tan(d*x + c)^2 - 17404*A*tan(d*x + c) - 4612*I*B*tan(d*x + c) + 5017*I*A - 1447*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
66,1,228,0,5.267766," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{12 \, {\left(A - i \, B\right)} \log\left(\tan\left(d x + c\right) + i\right)}{a^{4}} + \frac{36 \, {\left(117 \, A + 43 i \, B\right)} \log\left(\tan\left(d x + c\right) - i\right)}{a^{4}} - \frac{384 \, {\left(11 \, A + 4 i \, B\right)} \log\left(\tan\left(d x + c\right)\right)}{a^{4}} + \frac{192 \, {\left(33 \, A \tan\left(d x + c\right)^{2} + 12 i \, B \tan\left(d x + c\right)^{2} + 8 i \, A \tan\left(d x + c\right) - 2 \, B \tan\left(d x + c\right) - A\right)}}{a^{4} \tan\left(d x + c\right)^{2}} - \frac{8775 \, A \tan\left(d x + c\right)^{4} + 3225 i \, B \tan\left(d x + c\right)^{4} - 37764 i \, A \tan\left(d x + c\right)^{3} + 14076 \, B \tan\left(d x + c\right)^{3} - 61386 \, A \tan\left(d x + c\right)^{2} - 23286 i \, B \tan\left(d x + c\right)^{2} + 44804 i \, A \tan\left(d x + c\right) - 17404 \, B \tan\left(d x + c\right) + 12455 \, A + 5017 i \, B}{a^{4} {\left(\tan\left(d x + c\right) - i\right)}^{4}}}{384 \, d}"," ",0,"1/384*(12*(A - I*B)*log(tan(d*x + c) + I)/a^4 + 36*(117*A + 43*I*B)*log(tan(d*x + c) - I)/a^4 - 384*(11*A + 4*I*B)*log(tan(d*x + c))/a^4 + 192*(33*A*tan(d*x + c)^2 + 12*I*B*tan(d*x + c)^2 + 8*I*A*tan(d*x + c) - 2*B*tan(d*x + c) - A)/(a^4*tan(d*x + c)^2) - (8775*A*tan(d*x + c)^4 + 3225*I*B*tan(d*x + c)^4 - 37764*I*A*tan(d*x + c)^3 + 14076*B*tan(d*x + c)^3 - 61386*A*tan(d*x + c)^2 - 23286*I*B*tan(d*x + c)^2 + 44804*I*A*tan(d*x + c) - 17404*B*tan(d*x + c) + 12455*A + 5017*I*B)/(a^4*(tan(d*x + c) - I)^4))/d","A",0
67,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*tan(d*x+c)^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*tan(d*x+c)^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*tan(d*x+c)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
70,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
71,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \cot\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*cot(d*x + c), x)","F",0
72,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \cot\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*cot(d*x + c)^2, x)","F",0
73,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \cot\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*cot(d*x + c)^3, x)","F",0
74,0,0,0,0.000000," ","integrate(cot(d*x+c)^4*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \cot\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*cot(d*x + c)^4, x)","F",0
75,-1,0,0,0.000000," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
76,0,0,0,0.000000," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \tan\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)*tan(d*x + c), x)","F",0
77,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
78,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \cot\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)*cot(d*x + c), x)","F",0
79,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \cot\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)*cot(d*x + c)^2, x)","F",0
80,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \cot\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)*cot(d*x + c)^3, x)","F",0
81,0,0,0,0.000000," ","integrate(cot(d*x+c)^4*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \cot\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)*cot(d*x + c)^4, x)","F",0
82,-1,0,0,0.000000," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,0,0,0,0.000000," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \tan\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*tan(d*x + c), x)","F",0
84,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c), x)","F",0
86,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c)^2, x)","F",0
87,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c)^3, x)","F",0
88,0,0,0,0.000000," ","integrate(cot(d*x+c)^4*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c)^4, x)","F",0
89,0,0,0,0.000000," ","integrate(cot(d*x+c)^5*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)^{5}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c)^5, x)","F",0
90,0,0,0,0.000000," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{3}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^3/sqrt(I*a*tan(d*x + c) + a), x)","F",0
91,0,0,0,0.000000," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{2}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^2/sqrt(I*a*tan(d*x + c) + a), x)","F",0
92,0,0,0,0.000000," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)/sqrt(I*a*tan(d*x + c) + a), x)","F",0
93,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/sqrt(I*a*tan(d*x + c) + a), x)","F",0
94,0,0,0,0.000000," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)/sqrt(I*a*tan(d*x + c) + a), x)","F",0
95,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{2}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^2/sqrt(I*a*tan(d*x + c) + a), x)","F",0
96,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{3}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^3/sqrt(I*a*tan(d*x + c) + a), x)","F",0
97,0,0,0,0.000000," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{3}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^3/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
98,0,0,0,0.000000," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{2}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^2/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
99,0,0,0,0.000000," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
100,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
101,0,0,0,0.000000," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
102,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{2}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^2/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
103,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{3}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^3/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
104,0,0,0,0.000000," ","integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{4}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^4/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
105,0,0,0,0.000000," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{3}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^3/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
106,0,0,0,0.000000," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{2}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^2/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
107,0,0,0,0.000000," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
108,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
109,0,0,0,0.000000," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
110,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{2}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^2/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
111,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{3}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^3/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
112,0,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*tan(d*x + c)^(5/2), x)","F",0
113,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*tan(d*x + c)^(3/2), x)","F",0
114,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \sqrt{\tan\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*sqrt(tan(d*x + c)), x)","F",0
115,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 0.58int()  Error: Bad Argument Value","F(-2)",0
116,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)/tan(d*x + c)^(3/2), x)","F",0
117,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)/tan(d*x + c)^(5/2), x)","F",0
118,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)/tan(d*x + c)^(7/2), x)","F",0
119,0,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*tan(d*x + c)^(5/2), x)","F",0
120,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*tan(d*x + c)^(3/2), x)","F",0
121,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\tan\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*sqrt(tan(d*x + c)), x)","F",0
122,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 1.11int()  Error: Bad Argument Value","F(-2)",0
123,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2/tan(d*x + c)^(3/2), x)","F",0
124,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2/tan(d*x + c)^(5/2), x)","F",0
125,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2/tan(d*x + c)^(7/2), x)","F",0
126,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}{\tan\left(d x + c\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2/tan(d*x + c)^(9/2), x)","F",0
127,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \tan\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3*tan(d*x + c)^(3/2), x)","F",0
128,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \sqrt{\tan\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3*sqrt(tan(d*x + c)), x)","F",0
129,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 1.5int()  Error: Bad Argument Value","F(-2)",0
130,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3/tan(d*x + c)^(3/2), x)","F",0
131,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3/tan(d*x + c)^(5/2), x)","F",0
132,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3/tan(d*x + c)^(7/2), x)","F",0
133,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}{\tan\left(d x + c\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3/tan(d*x + c)^(9/2), x)","F",0
134,0,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{5}{2}}}{i \, a \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(5/2)/(I*a*tan(d*x + c) + a), x)","F",0
135,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}{i \, a \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a), x)","F",0
136,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\tan\left(d x + c\right)}}{i \, a \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(tan(d*x + c))/(I*a*tan(d*x + c) + a), x)","F",0
137,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)*sqrt(tan(d*x + c))), x)","F",0
138,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)*tan(d*x + c)^(3/2)), x)","F",0
139,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)*tan(d*x + c)^(5/2)), x)","F",0
140,0,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{5}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(5/2)/(I*a*tan(d*x + c) + a)^2, x)","F",0
141,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^2, x)","F",0
142,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\tan\left(d x + c\right)}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(tan(d*x + c))/(I*a*tan(d*x + c) + a)^2, x)","F",0
143,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^2*sqrt(tan(d*x + c))), x)","F",0
144,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^2*tan(d*x + c)^(3/2)), x)","F",0
145,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^2*tan(d*x + c)^(5/2)), x)","F",0
146,0,0,0,0.000000," ","integrate(tan(d*x+c)^(9/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{9}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(9/2)/(I*a*tan(d*x + c) + a)^3, x)","F",0
147,0,0,0,0.000000," ","integrate(tan(d*x+c)^(7/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{7}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(7/2)/(I*a*tan(d*x + c) + a)^3, x)","F",0
148,0,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{5}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(5/2)/(I*a*tan(d*x + c) + a)^3, x)","F",0
149,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^3, x)","F",0
150,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\tan\left(d x + c\right)}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(tan(d*x + c))/(I*a*tan(d*x + c) + a)^3, x)","F",0
151,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^3*sqrt(tan(d*x + c))), x)","F",0
152,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^3*tan(d*x + c)^(3/2)), x)","F",0
153,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^3*tan(d*x + c)^(5/2)), x)","F",0
154,-1,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*tan(d*x+c)^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
155,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-51,-42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,-94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-10,16]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [39,13]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 7.49int()  Error: Bad Argument Value","F(-2)",0
157,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)/tan(d*x + c)^(3/2), x)","F",0
158,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)/tan(d*x + c)^(5/2), x)","F",0
159,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)/tan(d*x + c)^(7/2), x)","F",0
160,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a}}{\tan\left(d x + c\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)/tan(d*x + c)^(9/2), x)","F",0
161,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
162,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
163,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-51,-42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,-94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-10,16]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [39,13]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-58,43]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [12,71]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [72,-72]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [90,60]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 8.78int()  Error: Bad Argument Value","F(-2)",0
164,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-51,-42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,-94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-10,16]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [39,13]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-58,43]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [12,71]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [72,-72]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [90,60]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{2,[0,3]%%%}+%%%{-2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,5]%%%}+%%%{-4,[1,3]%%%}+%%%{2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [-7,81]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-2,[0,3]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-2,[1,5]%%%}+%%%{4,[1,3]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [74,15]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 10.21int()  Error: Bad Argument Value","F(-2)",0
165,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)/tan(d*x + c)^(5/2), x)","F",0
166,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)/tan(d*x + c)^(7/2), x)","F",0
167,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}{\tan\left(d x + c\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)/tan(d*x + c)^(9/2), x)","F",0
168,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}{\tan\left(d x + c\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)/tan(d*x + c)^(11/2), x)","F",0
169,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
170,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
171,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-51,-42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,-94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-10,16]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [39,13]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-58,43]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [12,71]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [72,-72]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [90,60]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-7,81]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [74,15]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-50,-53]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [93,94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 21.56int()  Error: Bad Argument Value","F(-2)",0
172,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-51,-42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,-94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-10,16]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [39,13]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-58,43]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [12,71]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [72,-72]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [90,60]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-7,81]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [74,15]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-50,-53]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [93,94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{2,[0,3]%%%}+%%%{-2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,5]%%%}+%%%{-4,[1,3]%%%}+%%%{2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [20,-26]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-2,[0,3]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-2,[1,5]%%%}+%%%{4,[1,3]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [51,93]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 22.96int()  Error: Bad Argument Value","F(-2)",0
173,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-51,-42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,-94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-10,16]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [39,13]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-58,43]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [12,71]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [72,-72]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [90,60]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-7,81]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [74,15]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-50,-53]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [93,94]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [20,-26]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [51,93]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [15,-11]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-60,84]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{2,[0,3]%%%}+%%%{-2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,5]%%%}+%%%{-4,[1,3]%%%}+%%%{2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [-88,33]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-2,[0,3]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-2,[1,5]%%%}+%%%{4,[1,3]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [1,19]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 23.8int()  Error: Bad Argument Value","F(-2)",0
174,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)/tan(d*x + c)^(7/2), x)","F",0
175,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{\tan\left(d x + c\right)^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)/tan(d*x + c)^(9/2), x)","F",0
176,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{\tan\left(d x + c\right)^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)/tan(d*x + c)^(11/2), x)","F",0
177,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(13/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{\tan\left(d x + c\right)^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)/tan(d*x + c)^(13/2), x)","F",0
178,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(3/2*b*B/a+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-51,-42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,-94]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-10,16]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [39,13]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-58,43]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [12,71]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [72,-72]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [90,60]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-7,81]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [74,15]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-50,-53]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [93,94]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [20,-26]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [51,93]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [15,-11]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-60,84]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{2,[0,3]%%%}+%%%{-2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{2,[1,5]%%%}+%%%{-4,[1,3]%%%}+%%%{2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [-88,33]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-2,[0,3]%%%}+%%%{2,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-2,[1,5]%%%}+%%%{4,[1,3]%%%}+%%%{-2,[1,1]%%%}+%%%{1,[0,6]%%%}+%%%{-2,[0,4]%%%}+%%%{1,[0,2]%%%}] at parameters values [1,19]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 21.98int()  Error: Bad Argument Value","F(-2)",0
179,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(3/2)/sqrt(I*a*tan(d*x + c) + a), x)","F",0
180,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\tan\left(d x + c\right)}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(tan(d*x + c))/sqrt(I*a*tan(d*x + c) + a), x)","F",0
181,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-86,-64]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [-30,70]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{4,[0,3]%%%}+%%%{-4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{4,[1,5]%%%}+%%%{-8,[1,3]%%%}+%%%{4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [22,42]Warning, choosing root of [1,0,%%%{-2,[1,2]%%%}+%%%{2,[1,0]%%%}+%%%{-4,[0,3]%%%}+%%%{4,[0,1]%%%},0,%%%{1,[2,4]%%%}+%%%{-2,[2,2]%%%}+%%%{1,[2,0]%%%}+%%%{-4,[1,5]%%%}+%%%{8,[1,3]%%%}+%%%{-4,[1,1]%%%}+%%%{4,[0,6]%%%}+%%%{-8,[0,4]%%%}+%%%{4,[0,2]%%%}] at parameters values [56,-9]Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 1.41int()  Error: Bad Argument Value","F(-2)",0
182,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{\sqrt{i \, a \tan\left(d x + c\right) + a} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(sqrt(I*a*tan(d*x + c) + a)*tan(d*x + c)^(3/2)), x)","F",0
183,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{\sqrt{i \, a \tan\left(d x + c\right) + a} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(sqrt(I*a*tan(d*x + c) + a)*tan(d*x + c)^(5/2)), x)","F",0
184,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2)/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{\sqrt{i \, a \tan\left(d x + c\right) + a} \tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(sqrt(I*a*tan(d*x + c) + a)*tan(d*x + c)^(7/2)), x)","F",0
185,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
186,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\tan\left(d x + c\right)}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(tan(d*x + c))/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
187,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(3/2)*sqrt(tan(d*x + c))), x)","F",0
188,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(3/2)*tan(d*x + c)^(3/2)), x)","F",0
189,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(3/2)*tan(d*x + c)^(5/2)), x)","F",0
190,0,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{5}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(5/2)/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
191,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
192,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\tan\left(d x + c\right)}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(tan(d*x + c))/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
193,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(5/2)*sqrt(tan(d*x + c))), x)","F",0
194,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(5/2)*tan(d*x + c)^(3/2)), x)","F",0
195,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(5/2)*tan(d*x + c)^(5/2)), x)","F",0
196,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(1/3), x)","F",0
197,0,0,0,0.000000," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))^(2/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}} \tan\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(2/3)*tan(d*x + c)^2, x)","F",0
198,0,0,0,0.000000," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))^(2/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}} \tan\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(2/3)*tan(d*x + c), x)","F",0
199,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(2/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(2/3), x)","F",0
200,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^(2/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}} \cot\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(2/3)*cot(d*x + c), x)","F",0
201,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^(2/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}} \cot\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(2/3)*cot(d*x + c)^2, x)","F",0
202,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(I*a*tan(d*x + c) + a)^(1/3), x)","F",0
203,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(2/3),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(I*a*tan(d*x + c) + a)^(2/3), x)","F",0
204,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{4} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^4*tan(d*x + c)^m, x)","F",0
205,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3*tan(d*x + c)^m, x)","F",0
206,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*tan(d*x + c)^m, x)","F",0
207,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*tan(d*x + c)^m, x)","F",0
208,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{i \, a \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(I*a*tan(d*x + c) + a), x)","F",0
209,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(I*a*tan(d*x + c) + a)^2, x)","F",0
210,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(I*a*tan(d*x + c) + a)^3, x)","F",0
211,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^4,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(I*a*tan(d*x + c) + a)^4, x)","F",0
212,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
213,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
214,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*tan(d*x + c)^m, x)","F",0
215,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/sqrt(I*a*tan(d*x + c) + a), x)","F",0
216,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
217,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
218,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*tan(d*x + c)^m, x)","F",0
219,0,0,0,0.000000," ","integrate(tan(d*x+c)^3*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*tan(d*x + c)^3, x)","F",0
220,0,0,0,0.000000," ","integrate(tan(d*x+c)^2*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*tan(d*x + c)^2, x)","F",0
221,0,0,0,0.000000," ","integrate(tan(d*x+c)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*tan(d*x + c), x)","F",0
222,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n, x)","F",0
223,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*cot(d*x + c), x)","F",0
224,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*cot(d*x + c)^2, x)","F",0
225,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*cot(d*x + c)^3, x)","F",0
226,0,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*tan(d*x + c)^(5/2), x)","F",0
227,0,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*tan(d*x + c)^(3/2), x)","F",0
228,0,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \sqrt{\tan\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*sqrt(tan(d*x + c)), x)","F",0
229,-2,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 1.01int()  Error: Bad Argument Value","F(-2)",0
230,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n/tan(d*x + c)^(3/2), x)","F",0
231,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n/tan(d*x + c)^(5/2), x)","F",0
232,1,1017,0,1.363118," ","integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{6 \, A a d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 6 \, B b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, B a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, A b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 18 \, A a d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 18 \, B b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 3 \, B a \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, A b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 9 \, B a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 9 \, A b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 6 \, A a \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 6 \, B b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 6 \, A a \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 6 \, B b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 18 \, A a d x \tan\left(d x\right) \tan\left(c\right) - 18 \, B b d x \tan\left(d x\right) \tan\left(c\right) - 3 \, B a \tan\left(d x\right)^{3} \tan\left(c\right) - 3 \, A b \tan\left(d x\right)^{3} \tan\left(c\right) + 3 \, B a \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, A b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 3 \, B a \tan\left(d x\right) \tan\left(c\right)^{3} - 3 \, A b \tan\left(d x\right) \tan\left(c\right)^{3} + 2 \, B b \tan\left(d x\right)^{3} - 9 \, B a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 9 \, A b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 12 \, A a \tan\left(d x\right)^{2} \tan\left(c\right) + 18 \, B b \tan\left(d x\right)^{2} \tan\left(c\right) - 12 \, A a \tan\left(d x\right) \tan\left(c\right)^{2} + 18 \, B b \tan\left(d x\right) \tan\left(c\right)^{2} + 2 \, B b \tan\left(c\right)^{3} - 6 \, A a d x + 6 \, B b d x + 3 \, B a \tan\left(d x\right)^{2} + 3 \, A b \tan\left(d x\right)^{2} - 3 \, B a \tan\left(d x\right) \tan\left(c\right) - 3 \, A b \tan\left(d x\right) \tan\left(c\right) + 3 \, B a \tan\left(c\right)^{2} + 3 \, A b \tan\left(c\right)^{2} + 3 \, B a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 3 \, A b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 6 \, A a \tan\left(d x\right) - 6 \, B b \tan\left(d x\right) + 6 \, A a \tan\left(c\right) - 6 \, B b \tan\left(c\right) + 3 \, B a + 3 \, A b}{6 \, {\left(d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"-1/6*(6*A*a*d*x*tan(d*x)^3*tan(c)^3 - 6*B*b*d*x*tan(d*x)^3*tan(c)^3 - 3*B*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 3*A*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 18*A*a*d*x*tan(d*x)^2*tan(c)^2 + 18*B*b*d*x*tan(d*x)^2*tan(c)^2 - 3*B*a*tan(d*x)^3*tan(c)^3 - 3*A*b*tan(d*x)^3*tan(c)^3 + 9*B*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 9*A*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 6*A*a*tan(d*x)^3*tan(c)^2 - 6*B*b*tan(d*x)^3*tan(c)^2 + 6*A*a*tan(d*x)^2*tan(c)^3 - 6*B*b*tan(d*x)^2*tan(c)^3 + 18*A*a*d*x*tan(d*x)*tan(c) - 18*B*b*d*x*tan(d*x)*tan(c) - 3*B*a*tan(d*x)^3*tan(c) - 3*A*b*tan(d*x)^3*tan(c) + 3*B*a*tan(d*x)^2*tan(c)^2 + 3*A*b*tan(d*x)^2*tan(c)^2 - 3*B*a*tan(d*x)*tan(c)^3 - 3*A*b*tan(d*x)*tan(c)^3 + 2*B*b*tan(d*x)^3 - 9*B*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 9*A*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 12*A*a*tan(d*x)^2*tan(c) + 18*B*b*tan(d*x)^2*tan(c) - 12*A*a*tan(d*x)*tan(c)^2 + 18*B*b*tan(d*x)*tan(c)^2 + 2*B*b*tan(c)^3 - 6*A*a*d*x + 6*B*b*d*x + 3*B*a*tan(d*x)^2 + 3*A*b*tan(d*x)^2 - 3*B*a*tan(d*x)*tan(c) - 3*A*b*tan(d*x)*tan(c) + 3*B*a*tan(c)^2 + 3*A*b*tan(c)^2 + 3*B*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 3*A*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 6*A*a*tan(d*x) - 6*B*b*tan(d*x) + 6*A*a*tan(c) - 6*B*b*tan(c) + 3*B*a + 3*A*b)/(d*tan(d*x)^3*tan(c)^3 - 3*d*tan(d*x)^2*tan(c)^2 + 3*d*tan(d*x)*tan(c) - d)","B",0
233,1,616,0,0.640455," ","integrate(tan(d*x+c)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{2 \, B a d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 2 \, A b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + A a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - B b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 4 \, B a d x \tan\left(d x\right) \tan\left(c\right) - 4 \, A b d x \tan\left(d x\right) \tan\left(c\right) - B b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, A a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 2 \, B b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 2 \, B a \tan\left(d x\right)^{2} \tan\left(c\right) + 2 \, A b \tan\left(d x\right)^{2} \tan\left(c\right) + 2 \, B a \tan\left(d x\right) \tan\left(c\right)^{2} + 2 \, A b \tan\left(d x\right) \tan\left(c\right)^{2} + 2 \, B a d x + 2 \, A b d x - B b \tan\left(d x\right)^{2} - B b \tan\left(c\right)^{2} + A a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - B b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 2 \, B a \tan\left(d x\right) - 2 \, A b \tan\left(d x\right) - 2 \, B a \tan\left(c\right) - 2 \, A b \tan\left(c\right) - B b}{2 \, {\left(d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, d \tan\left(d x\right) \tan\left(c\right) + d\right)}}"," ",0,"-1/2*(2*B*a*d*x*tan(d*x)^2*tan(c)^2 + 2*A*b*d*x*tan(d*x)^2*tan(c)^2 + A*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - B*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 4*B*a*d*x*tan(d*x)*tan(c) - 4*A*b*d*x*tan(d*x)*tan(c) - B*b*tan(d*x)^2*tan(c)^2 - 2*A*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 2*B*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 2*B*a*tan(d*x)^2*tan(c) + 2*A*b*tan(d*x)^2*tan(c) + 2*B*a*tan(d*x)*tan(c)^2 + 2*A*b*tan(d*x)*tan(c)^2 + 2*B*a*d*x + 2*A*b*d*x - B*b*tan(d*x)^2 - B*b*tan(c)^2 + A*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - B*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 2*B*a*tan(d*x) - 2*A*b*tan(d*x) - 2*B*a*tan(c) - 2*A*b*tan(c) - B*b)/(d*tan(d*x)^2*tan(c)^2 - 2*d*tan(d*x)*tan(c) + d)","B",0
234,1,329,0,0.328956," ","integrate((a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, A a d x \tan\left(d x\right) \tan\left(c\right) - 2 \, B b d x \tan\left(d x\right) \tan\left(c\right) - B a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - A b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 2 \, A a d x + 2 \, B b d x + B a \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + A b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 2 \, B b \tan\left(d x\right) - 2 \, B b \tan\left(c\right)}{2 \, {\left(d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"1/2*(2*A*a*d*x*tan(d*x)*tan(c) - 2*B*b*d*x*tan(d*x)*tan(c) - B*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - A*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 2*A*a*d*x + 2*B*b*d*x + B*a*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + A*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 2*B*b*tan(d*x) - 2*B*b*tan(c))/(d*tan(d*x)*tan(c) - d)","B",0
235,1,53,0,0.426861," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, A a \log\left({\left| \tan\left(d x + c\right) \right|}\right) + 2 \, {\left(B a + A b\right)} {\left(d x + c\right)} - {\left(A a - B b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{2 \, d}"," ",0,"1/2*(2*A*a*log(abs(tan(d*x + c))) + 2*(B*a + A*b)*(d*x + c) - (A*a - B*b)*log(tan(d*x + c)^2 + 1))/d","A",0
236,1,119,0,0.604905," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2 \, {\left(A a - B b\right)} {\left(d x + c\right)} - 2 \, {\left(B a + A b\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) + 2 \, {\left(B a + A b\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{2 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 2 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{2 \, d}"," ",0,"1/2*(A*a*tan(1/2*d*x + 1/2*c) - 2*(A*a - B*b)*(d*x + c) - 2*(B*a + A*b)*log(tan(1/2*d*x + 1/2*c)^2 + 1) + 2*(B*a + A*b)*log(abs(tan(1/2*d*x + 1/2*c))) - (2*B*a*tan(1/2*d*x + 1/2*c) + 2*A*b*tan(1/2*d*x + 1/2*c) + A*a)/tan(1/2*d*x + 1/2*c))/d","B",0
237,1,179,0,0.796417," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, {\left(B a + A b\right)} {\left(d x + c\right)} - 8 \, {\left(A a - B b\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) + 8 \, {\left(A a - B b\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{12 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 \, B b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 4 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"-1/8*(A*a*tan(1/2*d*x + 1/2*c)^2 - 4*B*a*tan(1/2*d*x + 1/2*c) - 4*A*b*tan(1/2*d*x + 1/2*c) + 8*(B*a + A*b)*(d*x + c) - 8*(A*a - B*b)*log(tan(1/2*d*x + 1/2*c)^2 + 1) + 8*(A*a - B*b)*log(abs(tan(1/2*d*x + 1/2*c))) - (12*A*a*tan(1/2*d*x + 1/2*c)^2 - 12*B*b*tan(1/2*d*x + 1/2*c)^2 - 4*B*a*tan(1/2*d*x + 1/2*c) - 4*A*b*tan(1/2*d*x + 1/2*c) - A*a)/tan(1/2*d*x + 1/2*c)^2)/d","B",0
238,1,237,0,0.976154," ","integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 3 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 15 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 12 \, B b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 24 \, {\left(A a - B b\right)} {\left(d x + c\right)} + 24 \, {\left(B a + A b\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) - 24 \, {\left(B a + A b\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{44 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 44 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 15 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 \, B b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 3 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a*tan(1/2*d*x + 1/2*c)^3 - 3*B*a*tan(1/2*d*x + 1/2*c)^2 - 3*A*b*tan(1/2*d*x + 1/2*c)^2 - 15*A*a*tan(1/2*d*x + 1/2*c) + 12*B*b*tan(1/2*d*x + 1/2*c) + 24*(A*a - B*b)*(d*x + c) + 24*(B*a + A*b)*log(tan(1/2*d*x + 1/2*c)^2 + 1) - 24*(B*a + A*b)*log(abs(tan(1/2*d*x + 1/2*c))) + (44*B*a*tan(1/2*d*x + 1/2*c)^3 + 44*A*b*tan(1/2*d*x + 1/2*c)^3 + 15*A*a*tan(1/2*d*x + 1/2*c)^2 - 12*B*b*tan(1/2*d*x + 1/2*c)^2 - 3*B*a*tan(1/2*d*x + 1/2*c) - 3*A*b*tan(1/2*d*x + 1/2*c) - A*a)/tan(1/2*d*x + 1/2*c)^3)/d","B",0
239,1,299,0,1.331703," ","integrate(cot(d*x+c)^5*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 8 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 8 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 \, B b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 120 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 120 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 192 \, {\left(B a + A b\right)} {\left(d x + c\right)} + 192 \, {\left(A a - B b\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) - 192 \, {\left(A a - B b\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{400 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 400 \, B b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 120 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 120 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 \, B b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, B a \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, A b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a*tan(1/2*d*x + 1/2*c)^4 - 8*B*a*tan(1/2*d*x + 1/2*c)^3 - 8*A*b*tan(1/2*d*x + 1/2*c)^3 - 36*A*a*tan(1/2*d*x + 1/2*c)^2 + 24*B*b*tan(1/2*d*x + 1/2*c)^2 + 120*B*a*tan(1/2*d*x + 1/2*c) + 120*A*b*tan(1/2*d*x + 1/2*c) - 192*(B*a + A*b)*(d*x + c) + 192*(A*a - B*b)*log(tan(1/2*d*x + 1/2*c)^2 + 1) - 192*(A*a - B*b)*log(abs(tan(1/2*d*x + 1/2*c))) + (400*A*a*tan(1/2*d*x + 1/2*c)^4 - 400*B*b*tan(1/2*d*x + 1/2*c)^4 - 120*B*a*tan(1/2*d*x + 1/2*c)^3 - 120*A*b*tan(1/2*d*x + 1/2*c)^3 - 36*A*a*tan(1/2*d*x + 1/2*c)^2 + 24*B*b*tan(1/2*d*x + 1/2*c)^2 + 8*B*a*tan(1/2*d*x + 1/2*c) + 8*A*b*tan(1/2*d*x + 1/2*c) + 3*A*a)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
240,1,2228,0,3.342526," ","integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{12 \, A a^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 24 \, B a b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 12 \, A b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 6 \, B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 12 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 6 \, B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 48 \, A a^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 96 \, B a b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 48 \, A b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 6 \, B a^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 12 \, A a b \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 9 \, B b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 24 \, B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 48 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 24 \, B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 12 \, A a^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 24 \, B a b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 12 \, A b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 12 \, A a^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 24 \, B a b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 12 \, A b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 72 \, A a^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 144 \, B a b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 72 \, A b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 6 \, B a^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 12 \, A a b \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 6 \, B b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 12 \, B a^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 24 \, A a b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 24 \, B b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 6 \, B a^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 12 \, A a b \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 6 \, B b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 8 \, B a b \tan\left(d x\right)^{4} \tan\left(c\right) + 4 \, A b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) - 36 \, B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 72 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 36 \, B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 36 \, A a^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 96 \, B a b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 48 \, A b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 36 \, A a^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 96 \, B a b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 48 \, A b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 8 \, B a b \tan\left(d x\right) \tan\left(c\right)^{4} + 4 \, A b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} - 3 \, B b^{2} \tan\left(d x\right)^{4} - 48 \, A a^{2} d x \tan\left(d x\right) \tan\left(c\right) + 96 \, B a b d x \tan\left(d x\right) \tan\left(c\right) + 48 \, A b^{2} d x \tan\left(d x\right) \tan\left(c\right) + 12 \, B a^{2} \tan\left(d x\right)^{3} \tan\left(c\right) + 24 \, A a b \tan\left(d x\right)^{3} \tan\left(c\right) - 24 \, B b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) - 12 \, B a^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 24 \, A a b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 12 \, B b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 12 \, B a^{2} \tan\left(d x\right) \tan\left(c\right)^{3} + 24 \, A a b \tan\left(d x\right) \tan\left(c\right)^{3} - 24 \, B b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} - 3 \, B b^{2} \tan\left(c\right)^{4} - 8 \, B a b \tan\left(d x\right)^{3} - 4 \, A b^{2} \tan\left(d x\right)^{3} + 24 \, B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 48 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 24 \, B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 36 \, A a^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 96 \, B a b \tan\left(d x\right)^{2} \tan\left(c\right) - 48 \, A b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 36 \, A a^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 96 \, B a b \tan\left(d x\right) \tan\left(c\right)^{2} - 48 \, A b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 8 \, B a b \tan\left(c\right)^{3} - 4 \, A b^{2} \tan\left(c\right)^{3} + 12 \, A a^{2} d x - 24 \, B a b d x - 12 \, A b^{2} d x - 6 \, B a^{2} \tan\left(d x\right)^{2} - 12 \, A a b \tan\left(d x\right)^{2} + 6 \, B b^{2} \tan\left(d x\right)^{2} + 12 \, B a^{2} \tan\left(d x\right) \tan\left(c\right) + 24 \, A a b \tan\left(d x\right) \tan\left(c\right) - 24 \, B b^{2} \tan\left(d x\right) \tan\left(c\right) - 6 \, B a^{2} \tan\left(c\right)^{2} - 12 \, A a b \tan\left(c\right)^{2} + 6 \, B b^{2} \tan\left(c\right)^{2} - 6 \, B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 12 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 6 \, B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 12 \, A a^{2} \tan\left(d x\right) + 24 \, B a b \tan\left(d x\right) + 12 \, A b^{2} \tan\left(d x\right) - 12 \, A a^{2} \tan\left(c\right) + 24 \, B a b \tan\left(c\right) + 12 \, A b^{2} \tan\left(c\right) - 6 \, B a^{2} - 12 \, A a b + 9 \, B b^{2}}{12 \, {\left(d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 4 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 6 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 4 \, d \tan\left(d x\right) \tan\left(c\right) + d\right)}}"," ",0,"-1/12*(12*A*a^2*d*x*tan(d*x)^4*tan(c)^4 - 24*B*a*b*d*x*tan(d*x)^4*tan(c)^4 - 12*A*b^2*d*x*tan(d*x)^4*tan(c)^4 - 6*B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 12*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 6*B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 48*A*a^2*d*x*tan(d*x)^3*tan(c)^3 + 96*B*a*b*d*x*tan(d*x)^3*tan(c)^3 + 48*A*b^2*d*x*tan(d*x)^3*tan(c)^3 - 6*B*a^2*tan(d*x)^4*tan(c)^4 - 12*A*a*b*tan(d*x)^4*tan(c)^4 + 9*B*b^2*tan(d*x)^4*tan(c)^4 + 24*B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 48*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 24*B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 12*A*a^2*tan(d*x)^4*tan(c)^3 - 24*B*a*b*tan(d*x)^4*tan(c)^3 - 12*A*b^2*tan(d*x)^4*tan(c)^3 + 12*A*a^2*tan(d*x)^3*tan(c)^4 - 24*B*a*b*tan(d*x)^3*tan(c)^4 - 12*A*b^2*tan(d*x)^3*tan(c)^4 + 72*A*a^2*d*x*tan(d*x)^2*tan(c)^2 - 144*B*a*b*d*x*tan(d*x)^2*tan(c)^2 - 72*A*b^2*d*x*tan(d*x)^2*tan(c)^2 - 6*B*a^2*tan(d*x)^4*tan(c)^2 - 12*A*a*b*tan(d*x)^4*tan(c)^2 + 6*B*b^2*tan(d*x)^4*tan(c)^2 + 12*B*a^2*tan(d*x)^3*tan(c)^3 + 24*A*a*b*tan(d*x)^3*tan(c)^3 - 24*B*b^2*tan(d*x)^3*tan(c)^3 - 6*B*a^2*tan(d*x)^2*tan(c)^4 - 12*A*a*b*tan(d*x)^2*tan(c)^4 + 6*B*b^2*tan(d*x)^2*tan(c)^4 + 8*B*a*b*tan(d*x)^4*tan(c) + 4*A*b^2*tan(d*x)^4*tan(c) - 36*B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 72*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 36*B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 36*A*a^2*tan(d*x)^3*tan(c)^2 + 96*B*a*b*tan(d*x)^3*tan(c)^2 + 48*A*b^2*tan(d*x)^3*tan(c)^2 - 36*A*a^2*tan(d*x)^2*tan(c)^3 + 96*B*a*b*tan(d*x)^2*tan(c)^3 + 48*A*b^2*tan(d*x)^2*tan(c)^3 + 8*B*a*b*tan(d*x)*tan(c)^4 + 4*A*b^2*tan(d*x)*tan(c)^4 - 3*B*b^2*tan(d*x)^4 - 48*A*a^2*d*x*tan(d*x)*tan(c) + 96*B*a*b*d*x*tan(d*x)*tan(c) + 48*A*b^2*d*x*tan(d*x)*tan(c) + 12*B*a^2*tan(d*x)^3*tan(c) + 24*A*a*b*tan(d*x)^3*tan(c) - 24*B*b^2*tan(d*x)^3*tan(c) - 12*B*a^2*tan(d*x)^2*tan(c)^2 - 24*A*a*b*tan(d*x)^2*tan(c)^2 + 12*B*b^2*tan(d*x)^2*tan(c)^2 + 12*B*a^2*tan(d*x)*tan(c)^3 + 24*A*a*b*tan(d*x)*tan(c)^3 - 24*B*b^2*tan(d*x)*tan(c)^3 - 3*B*b^2*tan(c)^4 - 8*B*a*b*tan(d*x)^3 - 4*A*b^2*tan(d*x)^3 + 24*B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 48*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 24*B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 36*A*a^2*tan(d*x)^2*tan(c) - 96*B*a*b*tan(d*x)^2*tan(c) - 48*A*b^2*tan(d*x)^2*tan(c) + 36*A*a^2*tan(d*x)*tan(c)^2 - 96*B*a*b*tan(d*x)*tan(c)^2 - 48*A*b^2*tan(d*x)*tan(c)^2 - 8*B*a*b*tan(c)^3 - 4*A*b^2*tan(c)^3 + 12*A*a^2*d*x - 24*B*a*b*d*x - 12*A*b^2*d*x - 6*B*a^2*tan(d*x)^2 - 12*A*a*b*tan(d*x)^2 + 6*B*b^2*tan(d*x)^2 + 12*B*a^2*tan(d*x)*tan(c) + 24*A*a*b*tan(d*x)*tan(c) - 24*B*b^2*tan(d*x)*tan(c) - 6*B*a^2*tan(c)^2 - 12*A*a*b*tan(c)^2 + 6*B*b^2*tan(c)^2 - 6*B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 12*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 6*B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 12*A*a^2*tan(d*x) + 24*B*a*b*tan(d*x) + 12*A*b^2*tan(d*x) - 12*A*a^2*tan(c) + 24*B*a*b*tan(c) + 12*A*b^2*tan(c) - 6*B*a^2 - 12*A*a*b + 9*B*b^2)/(d*tan(d*x)^4*tan(c)^4 - 4*d*tan(d*x)^3*tan(c)^3 + 6*d*tan(d*x)^2*tan(c)^2 - 4*d*tan(d*x)*tan(c) + d)","B",0
241,1,1509,0,1.797425," ","integrate(tan(d*x+c)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{6 \, B a^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 12 \, A a b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 6 \, B b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 3 \, A a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 6 \, B a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, A b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 18 \, B a^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 36 \, A a b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 18 \, B b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 6 \, B a b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, A b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 9 \, A a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 18 \, B a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 9 \, A b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 6 \, B a^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 12 \, A a b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 6 \, B b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 6 \, B a^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 12 \, A a b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 6 \, B b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 18 \, B a^{2} d x \tan\left(d x\right) \tan\left(c\right) + 36 \, A a b d x \tan\left(d x\right) \tan\left(c\right) - 18 \, B b^{2} d x \tan\left(d x\right) \tan\left(c\right) - 6 \, B a b \tan\left(d x\right)^{3} \tan\left(c\right) - 3 \, A b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) + 6 \, B a b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, A b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 6 \, B a b \tan\left(d x\right) \tan\left(c\right)^{3} - 3 \, A b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} + 2 \, B b^{2} \tan\left(d x\right)^{3} + 9 \, A a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 18 \, B a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 9 \, A b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 12 \, B a^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 24 \, A a b \tan\left(d x\right)^{2} \tan\left(c\right) + 18 \, B b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 12 \, B a^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 24 \, A a b \tan\left(d x\right) \tan\left(c\right)^{2} + 18 \, B b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 2 \, B b^{2} \tan\left(c\right)^{3} - 6 \, B a^{2} d x - 12 \, A a b d x + 6 \, B b^{2} d x + 6 \, B a b \tan\left(d x\right)^{2} + 3 \, A b^{2} \tan\left(d x\right)^{2} - 6 \, B a b \tan\left(d x\right) \tan\left(c\right) - 3 \, A b^{2} \tan\left(d x\right) \tan\left(c\right) + 6 \, B a b \tan\left(c\right)^{2} + 3 \, A b^{2} \tan\left(c\right)^{2} - 3 \, A a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 6 \, B a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 3 \, A b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 6 \, B a^{2} \tan\left(d x\right) + 12 \, A a b \tan\left(d x\right) - 6 \, B b^{2} \tan\left(d x\right) + 6 \, B a^{2} \tan\left(c\right) + 12 \, A a b \tan\left(c\right) - 6 \, B b^{2} \tan\left(c\right) + 6 \, B a b + 3 \, A b^{2}}{6 \, {\left(d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"-1/6*(6*B*a^2*d*x*tan(d*x)^3*tan(c)^3 + 12*A*a*b*d*x*tan(d*x)^3*tan(c)^3 - 6*B*b^2*d*x*tan(d*x)^3*tan(c)^3 + 3*A*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 6*B*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 3*A*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 18*B*a^2*d*x*tan(d*x)^2*tan(c)^2 - 36*A*a*b*d*x*tan(d*x)^2*tan(c)^2 + 18*B*b^2*d*x*tan(d*x)^2*tan(c)^2 - 6*B*a*b*tan(d*x)^3*tan(c)^3 - 3*A*b^2*tan(d*x)^3*tan(c)^3 - 9*A*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 18*B*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 9*A*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 6*B*a^2*tan(d*x)^3*tan(c)^2 + 12*A*a*b*tan(d*x)^3*tan(c)^2 - 6*B*b^2*tan(d*x)^3*tan(c)^2 + 6*B*a^2*tan(d*x)^2*tan(c)^3 + 12*A*a*b*tan(d*x)^2*tan(c)^3 - 6*B*b^2*tan(d*x)^2*tan(c)^3 + 18*B*a^2*d*x*tan(d*x)*tan(c) + 36*A*a*b*d*x*tan(d*x)*tan(c) - 18*B*b^2*d*x*tan(d*x)*tan(c) - 6*B*a*b*tan(d*x)^3*tan(c) - 3*A*b^2*tan(d*x)^3*tan(c) + 6*B*a*b*tan(d*x)^2*tan(c)^2 + 3*A*b^2*tan(d*x)^2*tan(c)^2 - 6*B*a*b*tan(d*x)*tan(c)^3 - 3*A*b^2*tan(d*x)*tan(c)^3 + 2*B*b^2*tan(d*x)^3 + 9*A*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 18*B*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 9*A*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 12*B*a^2*tan(d*x)^2*tan(c) - 24*A*a*b*tan(d*x)^2*tan(c) + 18*B*b^2*tan(d*x)^2*tan(c) - 12*B*a^2*tan(d*x)*tan(c)^2 - 24*A*a*b*tan(d*x)*tan(c)^2 + 18*B*b^2*tan(d*x)*tan(c)^2 + 2*B*b^2*tan(c)^3 - 6*B*a^2*d*x - 12*A*a*b*d*x + 6*B*b^2*d*x + 6*B*a*b*tan(d*x)^2 + 3*A*b^2*tan(d*x)^2 - 6*B*a*b*tan(d*x)*tan(c) - 3*A*b^2*tan(d*x)*tan(c) + 6*B*a*b*tan(c)^2 + 3*A*b^2*tan(c)^2 - 3*A*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 6*B*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 3*A*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 6*B*a^2*tan(d*x) + 12*A*a*b*tan(d*x) - 6*B*b^2*tan(d*x) + 6*B*a^2*tan(c) + 12*A*a*b*tan(c) - 6*B*b^2*tan(c) + 6*B*a*b + 3*A*b^2)/(d*tan(d*x)^3*tan(c)^3 - 3*d*tan(d*x)^2*tan(c)^2 + 3*d*tan(d*x)*tan(c) - d)","B",0
242,1,901,0,0.951752," ","integrate((a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, A a^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 4 \, B a b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, A b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 4 \, A a^{2} d x \tan\left(d x\right) \tan\left(c\right) + 8 \, B a b d x \tan\left(d x\right) \tan\left(c\right) + 4 \, A b^{2} d x \tan\left(d x\right) \tan\left(c\right) + B b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 2 \, B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 4 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 2 \, B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 4 \, B a b \tan\left(d x\right)^{2} \tan\left(c\right) - 2 \, A b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 4 \, B a b \tan\left(d x\right) \tan\left(c\right)^{2} - 2 \, A b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 2 \, A a^{2} d x - 4 \, B a b d x - 2 \, A b^{2} d x + B b^{2} \tan\left(d x\right)^{2} + B b^{2} \tan\left(c\right)^{2} - B a^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 2 \, A a b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + B b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 4 \, B a b \tan\left(d x\right) + 2 \, A b^{2} \tan\left(d x\right) + 4 \, B a b \tan\left(c\right) + 2 \, A b^{2} \tan\left(c\right) + B b^{2}}{2 \, {\left(d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2 \, d \tan\left(d x\right) \tan\left(c\right) + d\right)}}"," ",0,"1/2*(2*A*a^2*d*x*tan(d*x)^2*tan(c)^2 - 4*B*a*b*d*x*tan(d*x)^2*tan(c)^2 - 2*A*b^2*d*x*tan(d*x)^2*tan(c)^2 - B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 2*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 4*A*a^2*d*x*tan(d*x)*tan(c) + 8*B*a*b*d*x*tan(d*x)*tan(c) + 4*A*b^2*d*x*tan(d*x)*tan(c) + B*b^2*tan(d*x)^2*tan(c)^2 + 2*B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 4*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 2*B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 4*B*a*b*tan(d*x)^2*tan(c) - 2*A*b^2*tan(d*x)^2*tan(c) - 4*B*a*b*tan(d*x)*tan(c)^2 - 2*A*b^2*tan(d*x)*tan(c)^2 + 2*A*a^2*d*x - 4*B*a*b*d*x - 2*A*b^2*d*x + B*b^2*tan(d*x)^2 + B*b^2*tan(c)^2 - B*a^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 2*A*a*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + B*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 4*B*a*b*tan(d*x) + 2*A*b^2*tan(d*x) + 4*B*a*b*tan(c) + 2*A*b^2*tan(c) + B*b^2)/(d*tan(d*x)^2*tan(c)^2 - 2*d*tan(d*x)*tan(c) + d)","B",0
243,1,86,0,0.992352," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, A a^{2} \log\left({\left| \tan\left(d x + c\right) \right|}\right) + 2 \, B b^{2} \tan\left(d x + c\right) + 2 \, {\left(B a^{2} + 2 \, A a b - B b^{2}\right)} {\left(d x + c\right)} - {\left(A a^{2} - 2 \, B a b - A b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{2 \, d}"," ",0,"1/2*(2*A*a^2*log(abs(tan(d*x + c))) + 2*B*b^2*tan(d*x + c) + 2*(B*a^2 + 2*A*a*b - B*b^2)*(d*x + c) - (A*a^2 - 2*B*a*b - A*b^2)*log(tan(d*x + c)^2 + 1))/d","A",0
244,1,118,0,1.357623," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{2 \, {\left(A a^{2} - 2 \, B a b - A b^{2}\right)} {\left(d x + c\right)} + {\left(B a^{2} + 2 \, A a b - B b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right) - 2 \, {\left(B a^{2} + 2 \, A a b\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right) + \frac{2 \, {\left(B a^{2} \tan\left(d x + c\right) + 2 \, A a b \tan\left(d x + c\right) + A a^{2}\right)}}{\tan\left(d x + c\right)}}{2 \, d}"," ",0,"-1/2*(2*(A*a^2 - 2*B*a*b - A*b^2)*(d*x + c) + (B*a^2 + 2*A*a*b - B*b^2)*log(tan(d*x + c)^2 + 1) - 2*(B*a^2 + 2*A*a*b)*log(abs(tan(d*x + c))) + 2*(B*a^2*tan(d*x + c) + 2*A*a*b*tan(d*x + c) + A*a^2)/tan(d*x + c))/d","A",0
245,1,237,0,1.831899," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 8 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 8 \, {\left(B a^{2} + 2 \, A a b - B b^{2}\right)} {\left(d x + c\right)} - 8 \, {\left(A a^{2} - 2 \, B a b - A b^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) + 8 \, {\left(A a^{2} - 2 \, B a b - A b^{2}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{12 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 24 \, B a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 \, A b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 4 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 8 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2}}}{8 \, d}"," ",0,"-1/8*(A*a^2*tan(1/2*d*x + 1/2*c)^2 - 4*B*a^2*tan(1/2*d*x + 1/2*c) - 8*A*a*b*tan(1/2*d*x + 1/2*c) + 8*(B*a^2 + 2*A*a*b - B*b^2)*(d*x + c) - 8*(A*a^2 - 2*B*a*b - A*b^2)*log(tan(1/2*d*x + 1/2*c)^2 + 1) + 8*(A*a^2 - 2*B*a*b - A*b^2)*log(abs(tan(1/2*d*x + 1/2*c))) - (12*A*a^2*tan(1/2*d*x + 1/2*c)^2 - 24*B*a*b*tan(1/2*d*x + 1/2*c)^2 - 12*A*b^2*tan(1/2*d*x + 1/2*c)^2 - 4*B*a^2*tan(1/2*d*x + 1/2*c) - 8*A*a*b*tan(1/2*d*x + 1/2*c) - A*a^2)/tan(1/2*d*x + 1/2*c)^2)/d","B",0
246,1,334,0,2.492792," ","integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 3 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 6 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 15 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 24 \, B a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 12 \, A b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 24 \, {\left(A a^{2} - 2 \, B a b - A b^{2}\right)} {\left(d x + c\right)} + 24 \, {\left(B a^{2} + 2 \, A a b - B b^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) - 24 \, {\left(B a^{2} + 2 \, A a b - B b^{2}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{44 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 88 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 44 \, B b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 15 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 24 \, B a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 \, A b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 6 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a^2*tan(1/2*d*x + 1/2*c)^3 - 3*B*a^2*tan(1/2*d*x + 1/2*c)^2 - 6*A*a*b*tan(1/2*d*x + 1/2*c)^2 - 15*A*a^2*tan(1/2*d*x + 1/2*c) + 24*B*a*b*tan(1/2*d*x + 1/2*c) + 12*A*b^2*tan(1/2*d*x + 1/2*c) + 24*(A*a^2 - 2*B*a*b - A*b^2)*(d*x + c) + 24*(B*a^2 + 2*A*a*b - B*b^2)*log(tan(1/2*d*x + 1/2*c)^2 + 1) - 24*(B*a^2 + 2*A*a*b - B*b^2)*log(abs(tan(1/2*d*x + 1/2*c))) + (44*B*a^2*tan(1/2*d*x + 1/2*c)^3 + 88*A*a*b*tan(1/2*d*x + 1/2*c)^3 - 44*B*b^2*tan(1/2*d*x + 1/2*c)^3 + 15*A*a^2*tan(1/2*d*x + 1/2*c)^2 - 24*B*a*b*tan(1/2*d*x + 1/2*c)^2 - 12*A*b^2*tan(1/2*d*x + 1/2*c)^2 - 3*B*a^2*tan(1/2*d*x + 1/2*c) - 6*A*a*b*tan(1/2*d*x + 1/2*c) - A*a^2)/tan(1/2*d*x + 1/2*c)^3)/d","B",0
247,1,435,0,2.884345," ","integrate(cot(d*x+c)^5*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 8 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 16 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 48 \, B a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 \, A b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 120 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 240 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 96 \, B b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 192 \, {\left(B a^{2} + 2 \, A a b - B b^{2}\right)} {\left(d x + c\right)} + 192 \, {\left(A a^{2} - 2 \, B a b - A b^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) - 192 \, {\left(A a^{2} - 2 \, B a b - A b^{2}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{400 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 800 \, B a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 400 \, A b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 120 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 240 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 96 \, B b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 48 \, B a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 24 \, A b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, B a^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 16 \, A a b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a^{2}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a^2*tan(1/2*d*x + 1/2*c)^4 - 8*B*a^2*tan(1/2*d*x + 1/2*c)^3 - 16*A*a*b*tan(1/2*d*x + 1/2*c)^3 - 36*A*a^2*tan(1/2*d*x + 1/2*c)^2 + 48*B*a*b*tan(1/2*d*x + 1/2*c)^2 + 24*A*b^2*tan(1/2*d*x + 1/2*c)^2 + 120*B*a^2*tan(1/2*d*x + 1/2*c) + 240*A*a*b*tan(1/2*d*x + 1/2*c) - 96*B*b^2*tan(1/2*d*x + 1/2*c) - 192*(B*a^2 + 2*A*a*b - B*b^2)*(d*x + c) + 192*(A*a^2 - 2*B*a*b - A*b^2)*log(tan(1/2*d*x + 1/2*c)^2 + 1) - 192*(A*a^2 - 2*B*a*b - A*b^2)*log(abs(tan(1/2*d*x + 1/2*c))) + (400*A*a^2*tan(1/2*d*x + 1/2*c)^4 - 800*B*a*b*tan(1/2*d*x + 1/2*c)^4 - 400*A*b^2*tan(1/2*d*x + 1/2*c)^4 - 120*B*a^2*tan(1/2*d*x + 1/2*c)^3 - 240*A*a*b*tan(1/2*d*x + 1/2*c)^3 + 96*B*b^2*tan(1/2*d*x + 1/2*c)^3 - 36*A*a^2*tan(1/2*d*x + 1/2*c)^2 + 48*B*a*b*tan(1/2*d*x + 1/2*c)^2 + 24*A*b^2*tan(1/2*d*x + 1/2*c)^2 + 8*B*a^2*tan(1/2*d*x + 1/2*c) + 16*A*a*b*tan(1/2*d*x + 1/2*c) + 3*A*a^2)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
248,1,3997,0,8.115950," ","integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{60 \, A a^{3} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 180 \, B a^{2} b d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 180 \, A a b^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 60 \, B b^{3} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 30 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 90 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 90 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 30 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 300 \, A a^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 900 \, B a^{2} b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 900 \, A a b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 300 \, B b^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 30 \, B a^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 90 \, A a^{2} b \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 135 \, B a b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 45 \, A b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 150 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 450 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 450 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 150 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 60 \, A a^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 180 \, B a^{2} b \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 180 \, A a b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 60 \, B b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 60 \, A a^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 180 \, B a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 180 \, A a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 60 \, B b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 600 \, A a^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 1800 \, B a^{2} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 1800 \, A a b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 600 \, B b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 30 \, B a^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} - 90 \, A a^{2} b \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 90 \, B a b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 30 \, A b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 90 \, B a^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 270 \, A a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 495 \, B a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 165 \, A b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 30 \, B a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} - 90 \, A a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 90 \, B a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 30 \, A b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 60 \, B a^{2} b \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 60 \, A a b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 20 \, B b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 300 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 900 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 900 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 300 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 240 \, A a^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 900 \, B a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 900 \, A a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 300 \, B b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 240 \, A a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 900 \, B a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 900 \, A a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 300 \, B b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 60 \, B a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 60 \, A a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 20 \, B b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 45 \, B a b^{2} \tan\left(d x\right)^{5} \tan\left(c\right) - 15 \, A b^{3} \tan\left(d x\right)^{5} \tan\left(c\right) - 600 \, A a^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 1800 \, B a^{2} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 1800 \, A a b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 600 \, B b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 90 \, B a^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 270 \, A a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 450 \, B a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 150 \, A b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 120 \, B a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 360 \, A a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 540 \, B a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 180 \, A b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 90 \, B a^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 270 \, A a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 450 \, B a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 150 \, A b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 45 \, B a b^{2} \tan\left(d x\right) \tan\left(c\right)^{5} - 15 \, A b^{3} \tan\left(d x\right) \tan\left(c\right)^{5} + 12 \, B b^{3} \tan\left(d x\right)^{5} - 120 \, B a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right) - 120 \, A a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) + 100 \, B b^{3} \tan\left(d x\right)^{4} \tan\left(c\right) + 300 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 900 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 900 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 300 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 360 \, A a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 1440 \, B a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 1440 \, A a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 600 \, B b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 360 \, A a^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 1440 \, B a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 1440 \, A a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 600 \, B b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 120 \, B a^{2} b \tan\left(d x\right) \tan\left(c\right)^{4} - 120 \, A a b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} + 100 \, B b^{3} \tan\left(d x\right) \tan\left(c\right)^{4} + 12 \, B b^{3} \tan\left(c\right)^{5} + 45 \, B a b^{2} \tan\left(d x\right)^{4} + 15 \, A b^{3} \tan\left(d x\right)^{4} + 300 \, A a^{3} d x \tan\left(d x\right) \tan\left(c\right) - 900 \, B a^{2} b d x \tan\left(d x\right) \tan\left(c\right) - 900 \, A a b^{2} d x \tan\left(d x\right) \tan\left(c\right) + 300 \, B b^{3} d x \tan\left(d x\right) \tan\left(c\right) - 90 \, B a^{3} \tan\left(d x\right)^{3} \tan\left(c\right) - 270 \, A a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right) + 450 \, B a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) + 150 \, A b^{3} \tan\left(d x\right)^{3} \tan\left(c\right) + 120 \, B a^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 360 \, A a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 540 \, B a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 180 \, A b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 90 \, B a^{3} \tan\left(d x\right) \tan\left(c\right)^{3} - 270 \, A a^{2} b \tan\left(d x\right) \tan\left(c\right)^{3} + 450 \, B a b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} + 150 \, A b^{3} \tan\left(d x\right) \tan\left(c\right)^{3} + 45 \, B a b^{2} \tan\left(c\right)^{4} + 15 \, A b^{3} \tan\left(c\right)^{4} + 60 \, B a^{2} b \tan\left(d x\right)^{3} + 60 \, A a b^{2} \tan\left(d x\right)^{3} - 20 \, B b^{3} \tan\left(d x\right)^{3} - 150 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 450 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 450 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 150 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 240 \, A a^{3} \tan\left(d x\right)^{2} \tan\left(c\right) + 900 \, B a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right) + 900 \, A a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 300 \, B b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) - 240 \, A a^{3} \tan\left(d x\right) \tan\left(c\right)^{2} + 900 \, B a^{2} b \tan\left(d x\right) \tan\left(c\right)^{2} + 900 \, A a b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 300 \, B b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} + 60 \, B a^{2} b \tan\left(c\right)^{3} + 60 \, A a b^{2} \tan\left(c\right)^{3} - 20 \, B b^{3} \tan\left(c\right)^{3} - 60 \, A a^{3} d x + 180 \, B a^{2} b d x + 180 \, A a b^{2} d x - 60 \, B b^{3} d x + 30 \, B a^{3} \tan\left(d x\right)^{2} + 90 \, A a^{2} b \tan\left(d x\right)^{2} - 90 \, B a b^{2} \tan\left(d x\right)^{2} - 30 \, A b^{3} \tan\left(d x\right)^{2} - 90 \, B a^{3} \tan\left(d x\right) \tan\left(c\right) - 270 \, A a^{2} b \tan\left(d x\right) \tan\left(c\right) + 495 \, B a b^{2} \tan\left(d x\right) \tan\left(c\right) + 165 \, A b^{3} \tan\left(d x\right) \tan\left(c\right) + 30 \, B a^{3} \tan\left(c\right)^{2} + 90 \, A a^{2} b \tan\left(c\right)^{2} - 90 \, B a b^{2} \tan\left(c\right)^{2} - 30 \, A b^{3} \tan\left(c\right)^{2} + 30 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 90 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 90 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 30 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 60 \, A a^{3} \tan\left(d x\right) - 180 \, B a^{2} b \tan\left(d x\right) - 180 \, A a b^{2} \tan\left(d x\right) + 60 \, B b^{3} \tan\left(d x\right) + 60 \, A a^{3} \tan\left(c\right) - 180 \, B a^{2} b \tan\left(c\right) - 180 \, A a b^{2} \tan\left(c\right) + 60 \, B b^{3} \tan\left(c\right) + 30 \, B a^{3} + 90 \, A a^{2} b - 135 \, B a b^{2} - 45 \, A b^{3}}{60 \, {\left(d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 5 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 10 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 10 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 5 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"-1/60*(60*A*a^3*d*x*tan(d*x)^5*tan(c)^5 - 180*B*a^2*b*d*x*tan(d*x)^5*tan(c)^5 - 180*A*a*b^2*d*x*tan(d*x)^5*tan(c)^5 + 60*B*b^3*d*x*tan(d*x)^5*tan(c)^5 - 30*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 90*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 + 90*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 + 30*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 300*A*a^3*d*x*tan(d*x)^4*tan(c)^4 + 900*B*a^2*b*d*x*tan(d*x)^4*tan(c)^4 + 900*A*a*b^2*d*x*tan(d*x)^4*tan(c)^4 - 300*B*b^3*d*x*tan(d*x)^4*tan(c)^4 - 30*B*a^3*tan(d*x)^5*tan(c)^5 - 90*A*a^2*b*tan(d*x)^5*tan(c)^5 + 135*B*a*b^2*tan(d*x)^5*tan(c)^5 + 45*A*b^3*tan(d*x)^5*tan(c)^5 + 150*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 450*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 450*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 150*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 60*A*a^3*tan(d*x)^5*tan(c)^4 - 180*B*a^2*b*tan(d*x)^5*tan(c)^4 - 180*A*a*b^2*tan(d*x)^5*tan(c)^4 + 60*B*b^3*tan(d*x)^5*tan(c)^4 + 60*A*a^3*tan(d*x)^4*tan(c)^5 - 180*B*a^2*b*tan(d*x)^4*tan(c)^5 - 180*A*a*b^2*tan(d*x)^4*tan(c)^5 + 60*B*b^3*tan(d*x)^4*tan(c)^5 + 600*A*a^3*d*x*tan(d*x)^3*tan(c)^3 - 1800*B*a^2*b*d*x*tan(d*x)^3*tan(c)^3 - 1800*A*a*b^2*d*x*tan(d*x)^3*tan(c)^3 + 600*B*b^3*d*x*tan(d*x)^3*tan(c)^3 - 30*B*a^3*tan(d*x)^5*tan(c)^3 - 90*A*a^2*b*tan(d*x)^5*tan(c)^3 + 90*B*a*b^2*tan(d*x)^5*tan(c)^3 + 30*A*b^3*tan(d*x)^5*tan(c)^3 + 90*B*a^3*tan(d*x)^4*tan(c)^4 + 270*A*a^2*b*tan(d*x)^4*tan(c)^4 - 495*B*a*b^2*tan(d*x)^4*tan(c)^4 - 165*A*b^3*tan(d*x)^4*tan(c)^4 - 30*B*a^3*tan(d*x)^3*tan(c)^5 - 90*A*a^2*b*tan(d*x)^3*tan(c)^5 + 90*B*a*b^2*tan(d*x)^3*tan(c)^5 + 30*A*b^3*tan(d*x)^3*tan(c)^5 + 60*B*a^2*b*tan(d*x)^5*tan(c)^2 + 60*A*a*b^2*tan(d*x)^5*tan(c)^2 - 20*B*b^3*tan(d*x)^5*tan(c)^2 - 300*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 900*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 900*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 300*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 240*A*a^3*tan(d*x)^4*tan(c)^3 + 900*B*a^2*b*tan(d*x)^4*tan(c)^3 + 900*A*a*b^2*tan(d*x)^4*tan(c)^3 - 300*B*b^3*tan(d*x)^4*tan(c)^3 - 240*A*a^3*tan(d*x)^3*tan(c)^4 + 900*B*a^2*b*tan(d*x)^3*tan(c)^4 + 900*A*a*b^2*tan(d*x)^3*tan(c)^4 - 300*B*b^3*tan(d*x)^3*tan(c)^4 + 60*B*a^2*b*tan(d*x)^2*tan(c)^5 + 60*A*a*b^2*tan(d*x)^2*tan(c)^5 - 20*B*b^3*tan(d*x)^2*tan(c)^5 - 45*B*a*b^2*tan(d*x)^5*tan(c) - 15*A*b^3*tan(d*x)^5*tan(c) - 600*A*a^3*d*x*tan(d*x)^2*tan(c)^2 + 1800*B*a^2*b*d*x*tan(d*x)^2*tan(c)^2 + 1800*A*a*b^2*d*x*tan(d*x)^2*tan(c)^2 - 600*B*b^3*d*x*tan(d*x)^2*tan(c)^2 + 90*B*a^3*tan(d*x)^4*tan(c)^2 + 270*A*a^2*b*tan(d*x)^4*tan(c)^2 - 450*B*a*b^2*tan(d*x)^4*tan(c)^2 - 150*A*b^3*tan(d*x)^4*tan(c)^2 - 120*B*a^3*tan(d*x)^3*tan(c)^3 - 360*A*a^2*b*tan(d*x)^3*tan(c)^3 + 540*B*a*b^2*tan(d*x)^3*tan(c)^3 + 180*A*b^3*tan(d*x)^3*tan(c)^3 + 90*B*a^3*tan(d*x)^2*tan(c)^4 + 270*A*a^2*b*tan(d*x)^2*tan(c)^4 - 450*B*a*b^2*tan(d*x)^2*tan(c)^4 - 150*A*b^3*tan(d*x)^2*tan(c)^4 - 45*B*a*b^2*tan(d*x)*tan(c)^5 - 15*A*b^3*tan(d*x)*tan(c)^5 + 12*B*b^3*tan(d*x)^5 - 120*B*a^2*b*tan(d*x)^4*tan(c) - 120*A*a*b^2*tan(d*x)^4*tan(c) + 100*B*b^3*tan(d*x)^4*tan(c) + 300*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 900*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 900*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 300*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 360*A*a^3*tan(d*x)^3*tan(c)^2 - 1440*B*a^2*b*tan(d*x)^3*tan(c)^2 - 1440*A*a*b^2*tan(d*x)^3*tan(c)^2 + 600*B*b^3*tan(d*x)^3*tan(c)^2 + 360*A*a^3*tan(d*x)^2*tan(c)^3 - 1440*B*a^2*b*tan(d*x)^2*tan(c)^3 - 1440*A*a*b^2*tan(d*x)^2*tan(c)^3 + 600*B*b^3*tan(d*x)^2*tan(c)^3 - 120*B*a^2*b*tan(d*x)*tan(c)^4 - 120*A*a*b^2*tan(d*x)*tan(c)^4 + 100*B*b^3*tan(d*x)*tan(c)^4 + 12*B*b^3*tan(c)^5 + 45*B*a*b^2*tan(d*x)^4 + 15*A*b^3*tan(d*x)^4 + 300*A*a^3*d*x*tan(d*x)*tan(c) - 900*B*a^2*b*d*x*tan(d*x)*tan(c) - 900*A*a*b^2*d*x*tan(d*x)*tan(c) + 300*B*b^3*d*x*tan(d*x)*tan(c) - 90*B*a^3*tan(d*x)^3*tan(c) - 270*A*a^2*b*tan(d*x)^3*tan(c) + 450*B*a*b^2*tan(d*x)^3*tan(c) + 150*A*b^3*tan(d*x)^3*tan(c) + 120*B*a^3*tan(d*x)^2*tan(c)^2 + 360*A*a^2*b*tan(d*x)^2*tan(c)^2 - 540*B*a*b^2*tan(d*x)^2*tan(c)^2 - 180*A*b^3*tan(d*x)^2*tan(c)^2 - 90*B*a^3*tan(d*x)*tan(c)^3 - 270*A*a^2*b*tan(d*x)*tan(c)^3 + 450*B*a*b^2*tan(d*x)*tan(c)^3 + 150*A*b^3*tan(d*x)*tan(c)^3 + 45*B*a*b^2*tan(c)^4 + 15*A*b^3*tan(c)^4 + 60*B*a^2*b*tan(d*x)^3 + 60*A*a*b^2*tan(d*x)^3 - 20*B*b^3*tan(d*x)^3 - 150*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 450*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 450*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 150*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 240*A*a^3*tan(d*x)^2*tan(c) + 900*B*a^2*b*tan(d*x)^2*tan(c) + 900*A*a*b^2*tan(d*x)^2*tan(c) - 300*B*b^3*tan(d*x)^2*tan(c) - 240*A*a^3*tan(d*x)*tan(c)^2 + 900*B*a^2*b*tan(d*x)*tan(c)^2 + 900*A*a*b^2*tan(d*x)*tan(c)^2 - 300*B*b^3*tan(d*x)*tan(c)^2 + 60*B*a^2*b*tan(c)^3 + 60*A*a*b^2*tan(c)^3 - 20*B*b^3*tan(c)^3 - 60*A*a^3*d*x + 180*B*a^2*b*d*x + 180*A*a*b^2*d*x - 60*B*b^3*d*x + 30*B*a^3*tan(d*x)^2 + 90*A*a^2*b*tan(d*x)^2 - 90*B*a*b^2*tan(d*x)^2 - 30*A*b^3*tan(d*x)^2 - 90*B*a^3*tan(d*x)*tan(c) - 270*A*a^2*b*tan(d*x)*tan(c) + 495*B*a*b^2*tan(d*x)*tan(c) + 165*A*b^3*tan(d*x)*tan(c) + 30*B*a^3*tan(c)^2 + 90*A*a^2*b*tan(c)^2 - 90*B*a*b^2*tan(c)^2 - 30*A*b^3*tan(c)^2 + 30*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 90*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 90*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 30*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 60*A*a^3*tan(d*x) - 180*B*a^2*b*tan(d*x) - 180*A*a*b^2*tan(d*x) + 60*B*b^3*tan(d*x) + 60*A*a^3*tan(c) - 180*B*a^2*b*tan(c) - 180*A*a*b^2*tan(c) + 60*B*b^3*tan(c) + 30*B*a^3 + 90*A*a^2*b - 135*B*a*b^2 - 45*A*b^3)/(d*tan(d*x)^5*tan(c)^5 - 5*d*tan(d*x)^4*tan(c)^4 + 10*d*tan(d*x)^3*tan(c)^3 - 10*d*tan(d*x)^2*tan(c)^2 + 5*d*tan(d*x)*tan(c) - d)","B",0
249,1,2870,0,4.247971," ","integrate(tan(d*x+c)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{12 \, B a^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 36 \, A a^{2} b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 36 \, B a b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 12 \, A b^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 6 \, A a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 18 \, B a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 18 \, A a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 6 \, B b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 48 \, B a^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 144 \, A a^{2} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 144 \, B a b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 48 \, A b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 18 \, B a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 18 \, A a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 9 \, B b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 24 \, A a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 72 \, B a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 72 \, A a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 24 \, B b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 12 \, B a^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 36 \, A a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 36 \, B a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 12 \, A b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 12 \, B a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 36 \, A a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 36 \, B a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 12 \, A b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 72 \, B a^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 216 \, A a^{2} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 216 \, B a b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 72 \, A b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 18 \, B a^{2} b \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 18 \, A a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 6 \, B b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 36 \, B a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 36 \, A a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 24 \, B b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 18 \, B a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 18 \, A a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 6 \, B b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 12 \, B a b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) + 4 \, A b^{3} \tan\left(d x\right)^{4} \tan\left(c\right) + 36 \, A a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 108 \, B a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 108 \, A a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 36 \, B b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 36 \, B a^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 108 \, A a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 144 \, B a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 48 \, A b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 36 \, B a^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 108 \, A a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 144 \, B a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 48 \, A b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 12 \, B a b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} + 4 \, A b^{3} \tan\left(d x\right) \tan\left(c\right)^{4} - 3 \, B b^{3} \tan\left(d x\right)^{4} - 48 \, B a^{3} d x \tan\left(d x\right) \tan\left(c\right) - 144 \, A a^{2} b d x \tan\left(d x\right) \tan\left(c\right) + 144 \, B a b^{2} d x \tan\left(d x\right) \tan\left(c\right) + 48 \, A b^{3} d x \tan\left(d x\right) \tan\left(c\right) + 36 \, B a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right) + 36 \, A a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) - 24 \, B b^{3} \tan\left(d x\right)^{3} \tan\left(c\right) - 36 \, B a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 36 \, A a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 12 \, B b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 36 \, B a^{2} b \tan\left(d x\right) \tan\left(c\right)^{3} + 36 \, A a b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} - 24 \, B b^{3} \tan\left(d x\right) \tan\left(c\right)^{3} - 3 \, B b^{3} \tan\left(c\right)^{4} - 12 \, B a b^{2} \tan\left(d x\right)^{3} - 4 \, A b^{3} \tan\left(d x\right)^{3} - 24 \, A a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 72 \, B a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 72 \, A a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 24 \, B b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 36 \, B a^{3} \tan\left(d x\right)^{2} \tan\left(c\right) + 108 \, A a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right) - 144 \, B a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 48 \, A b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) + 36 \, B a^{3} \tan\left(d x\right) \tan\left(c\right)^{2} + 108 \, A a^{2} b \tan\left(d x\right) \tan\left(c\right)^{2} - 144 \, B a b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 48 \, A b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} - 12 \, B a b^{2} \tan\left(c\right)^{3} - 4 \, A b^{3} \tan\left(c\right)^{3} + 12 \, B a^{3} d x + 36 \, A a^{2} b d x - 36 \, B a b^{2} d x - 12 \, A b^{3} d x - 18 \, B a^{2} b \tan\left(d x\right)^{2} - 18 \, A a b^{2} \tan\left(d x\right)^{2} + 6 \, B b^{3} \tan\left(d x\right)^{2} + 36 \, B a^{2} b \tan\left(d x\right) \tan\left(c\right) + 36 \, A a b^{2} \tan\left(d x\right) \tan\left(c\right) - 24 \, B b^{3} \tan\left(d x\right) \tan\left(c\right) - 18 \, B a^{2} b \tan\left(c\right)^{2} - 18 \, A a b^{2} \tan\left(c\right)^{2} + 6 \, B b^{3} \tan\left(c\right)^{2} + 6 \, A a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 18 \, B a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 18 \, A a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 6 \, B b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 12 \, B a^{3} \tan\left(d x\right) - 36 \, A a^{2} b \tan\left(d x\right) + 36 \, B a b^{2} \tan\left(d x\right) + 12 \, A b^{3} \tan\left(d x\right) - 12 \, B a^{3} \tan\left(c\right) - 36 \, A a^{2} b \tan\left(c\right) + 36 \, B a b^{2} \tan\left(c\right) + 12 \, A b^{3} \tan\left(c\right) - 18 \, B a^{2} b - 18 \, A a b^{2} + 9 \, B b^{3}}{12 \, {\left(d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 4 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 6 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 4 \, d \tan\left(d x\right) \tan\left(c\right) + d\right)}}"," ",0,"-1/12*(12*B*a^3*d*x*tan(d*x)^4*tan(c)^4 + 36*A*a^2*b*d*x*tan(d*x)^4*tan(c)^4 - 36*B*a*b^2*d*x*tan(d*x)^4*tan(c)^4 - 12*A*b^3*d*x*tan(d*x)^4*tan(c)^4 + 6*A*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 18*B*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 18*A*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 6*B*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 48*B*a^3*d*x*tan(d*x)^3*tan(c)^3 - 144*A*a^2*b*d*x*tan(d*x)^3*tan(c)^3 + 144*B*a*b^2*d*x*tan(d*x)^3*tan(c)^3 + 48*A*b^3*d*x*tan(d*x)^3*tan(c)^3 - 18*B*a^2*b*tan(d*x)^4*tan(c)^4 - 18*A*a*b^2*tan(d*x)^4*tan(c)^4 + 9*B*b^3*tan(d*x)^4*tan(c)^4 - 24*A*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 72*B*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 72*A*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 24*B*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 12*B*a^3*tan(d*x)^4*tan(c)^3 + 36*A*a^2*b*tan(d*x)^4*tan(c)^3 - 36*B*a*b^2*tan(d*x)^4*tan(c)^3 - 12*A*b^3*tan(d*x)^4*tan(c)^3 + 12*B*a^3*tan(d*x)^3*tan(c)^4 + 36*A*a^2*b*tan(d*x)^3*tan(c)^4 - 36*B*a*b^2*tan(d*x)^3*tan(c)^4 - 12*A*b^3*tan(d*x)^3*tan(c)^4 + 72*B*a^3*d*x*tan(d*x)^2*tan(c)^2 + 216*A*a^2*b*d*x*tan(d*x)^2*tan(c)^2 - 216*B*a*b^2*d*x*tan(d*x)^2*tan(c)^2 - 72*A*b^3*d*x*tan(d*x)^2*tan(c)^2 - 18*B*a^2*b*tan(d*x)^4*tan(c)^2 - 18*A*a*b^2*tan(d*x)^4*tan(c)^2 + 6*B*b^3*tan(d*x)^4*tan(c)^2 + 36*B*a^2*b*tan(d*x)^3*tan(c)^3 + 36*A*a*b^2*tan(d*x)^3*tan(c)^3 - 24*B*b^3*tan(d*x)^3*tan(c)^3 - 18*B*a^2*b*tan(d*x)^2*tan(c)^4 - 18*A*a*b^2*tan(d*x)^2*tan(c)^4 + 6*B*b^3*tan(d*x)^2*tan(c)^4 + 12*B*a*b^2*tan(d*x)^4*tan(c) + 4*A*b^3*tan(d*x)^4*tan(c) + 36*A*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 108*B*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 108*A*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 36*B*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 36*B*a^3*tan(d*x)^3*tan(c)^2 - 108*A*a^2*b*tan(d*x)^3*tan(c)^2 + 144*B*a*b^2*tan(d*x)^3*tan(c)^2 + 48*A*b^3*tan(d*x)^3*tan(c)^2 - 36*B*a^3*tan(d*x)^2*tan(c)^3 - 108*A*a^2*b*tan(d*x)^2*tan(c)^3 + 144*B*a*b^2*tan(d*x)^2*tan(c)^3 + 48*A*b^3*tan(d*x)^2*tan(c)^3 + 12*B*a*b^2*tan(d*x)*tan(c)^4 + 4*A*b^3*tan(d*x)*tan(c)^4 - 3*B*b^3*tan(d*x)^4 - 48*B*a^3*d*x*tan(d*x)*tan(c) - 144*A*a^2*b*d*x*tan(d*x)*tan(c) + 144*B*a*b^2*d*x*tan(d*x)*tan(c) + 48*A*b^3*d*x*tan(d*x)*tan(c) + 36*B*a^2*b*tan(d*x)^3*tan(c) + 36*A*a*b^2*tan(d*x)^3*tan(c) - 24*B*b^3*tan(d*x)^3*tan(c) - 36*B*a^2*b*tan(d*x)^2*tan(c)^2 - 36*A*a*b^2*tan(d*x)^2*tan(c)^2 + 12*B*b^3*tan(d*x)^2*tan(c)^2 + 36*B*a^2*b*tan(d*x)*tan(c)^3 + 36*A*a*b^2*tan(d*x)*tan(c)^3 - 24*B*b^3*tan(d*x)*tan(c)^3 - 3*B*b^3*tan(c)^4 - 12*B*a*b^2*tan(d*x)^3 - 4*A*b^3*tan(d*x)^3 - 24*A*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 72*B*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 72*A*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 24*B*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 36*B*a^3*tan(d*x)^2*tan(c) + 108*A*a^2*b*tan(d*x)^2*tan(c) - 144*B*a*b^2*tan(d*x)^2*tan(c) - 48*A*b^3*tan(d*x)^2*tan(c) + 36*B*a^3*tan(d*x)*tan(c)^2 + 108*A*a^2*b*tan(d*x)*tan(c)^2 - 144*B*a*b^2*tan(d*x)*tan(c)^2 - 48*A*b^3*tan(d*x)*tan(c)^2 - 12*B*a*b^2*tan(c)^3 - 4*A*b^3*tan(c)^3 + 12*B*a^3*d*x + 36*A*a^2*b*d*x - 36*B*a*b^2*d*x - 12*A*b^3*d*x - 18*B*a^2*b*tan(d*x)^2 - 18*A*a*b^2*tan(d*x)^2 + 6*B*b^3*tan(d*x)^2 + 36*B*a^2*b*tan(d*x)*tan(c) + 36*A*a*b^2*tan(d*x)*tan(c) - 24*B*b^3*tan(d*x)*tan(c) - 18*B*a^2*b*tan(c)^2 - 18*A*a*b^2*tan(c)^2 + 6*B*b^3*tan(c)^2 + 6*A*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 18*B*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 18*A*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 6*B*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 12*B*a^3*tan(d*x) - 36*A*a^2*b*tan(d*x) + 36*B*a*b^2*tan(d*x) + 12*A*b^3*tan(d*x) - 12*B*a^3*tan(c) - 36*A*a^2*b*tan(c) + 36*B*a*b^2*tan(c) + 12*A*b^3*tan(c) - 18*B*a^2*b - 18*A*a*b^2 + 9*B*b^3)/(d*tan(d*x)^4*tan(c)^4 - 4*d*tan(d*x)^3*tan(c)^3 + 6*d*tan(d*x)^2*tan(c)^2 - 4*d*tan(d*x)*tan(c) + d)","B",0
250,1,1911,0,2.529311," ","integrate((a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 \, A a^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 18 \, B a^{2} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 18 \, A a b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 6 \, B b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 9 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 9 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 3 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 18 \, A a^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 54 \, B a^{2} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 54 \, A a b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 18 \, B b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 9 \, B a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 3 \, A b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 9 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 27 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 27 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 9 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 18 \, B a^{2} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 18 \, A a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 6 \, B b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 18 \, B a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 18 \, A a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 6 \, B b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 18 \, A a^{3} d x \tan\left(d x\right) \tan\left(c\right) - 54 \, B a^{2} b d x \tan\left(d x\right) \tan\left(c\right) - 54 \, A a b^{2} d x \tan\left(d x\right) \tan\left(c\right) + 18 \, B b^{3} d x \tan\left(d x\right) \tan\left(c\right) + 9 \, B a b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) + 3 \, A b^{3} \tan\left(d x\right)^{3} \tan\left(c\right) - 9 \, B a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 3 \, A b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 9 \, B a b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} + 3 \, A b^{3} \tan\left(d x\right) \tan\left(c\right)^{3} - 2 \, B b^{3} \tan\left(d x\right)^{3} - 9 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 27 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 27 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 9 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 36 \, B a^{2} b \tan\left(d x\right)^{2} \tan\left(c\right) + 36 \, A a b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) - 18 \, B b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) + 36 \, B a^{2} b \tan\left(d x\right) \tan\left(c\right)^{2} + 36 \, A a b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} - 18 \, B b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} - 2 \, B b^{3} \tan\left(c\right)^{3} - 6 \, A a^{3} d x + 18 \, B a^{2} b d x + 18 \, A a b^{2} d x - 6 \, B b^{3} d x - 9 \, B a b^{2} \tan\left(d x\right)^{2} - 3 \, A b^{3} \tan\left(d x\right)^{2} + 9 \, B a b^{2} \tan\left(d x\right) \tan\left(c\right) + 3 \, A b^{3} \tan\left(d x\right) \tan\left(c\right) - 9 \, B a b^{2} \tan\left(c\right)^{2} - 3 \, A b^{3} \tan\left(c\right)^{2} + 3 \, B a^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 9 \, A a^{2} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 9 \, B a b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 3 \, A b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 18 \, B a^{2} b \tan\left(d x\right) - 18 \, A a b^{2} \tan\left(d x\right) + 6 \, B b^{3} \tan\left(d x\right) - 18 \, B a^{2} b \tan\left(c\right) - 18 \, A a b^{2} \tan\left(c\right) + 6 \, B b^{3} \tan\left(c\right) - 9 \, B a b^{2} - 3 \, A b^{3}}{6 \, {\left(d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"1/6*(6*A*a^3*d*x*tan(d*x)^3*tan(c)^3 - 18*B*a^2*b*d*x*tan(d*x)^3*tan(c)^3 - 18*A*a*b^2*d*x*tan(d*x)^3*tan(c)^3 + 6*B*b^3*d*x*tan(d*x)^3*tan(c)^3 - 3*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 9*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 9*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 3*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 18*A*a^3*d*x*tan(d*x)^2*tan(c)^2 + 54*B*a^2*b*d*x*tan(d*x)^2*tan(c)^2 + 54*A*a*b^2*d*x*tan(d*x)^2*tan(c)^2 - 18*B*b^3*d*x*tan(d*x)^2*tan(c)^2 + 9*B*a*b^2*tan(d*x)^3*tan(c)^3 + 3*A*b^3*tan(d*x)^3*tan(c)^3 + 9*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 27*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 27*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 9*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 18*B*a^2*b*tan(d*x)^3*tan(c)^2 - 18*A*a*b^2*tan(d*x)^3*tan(c)^2 + 6*B*b^3*tan(d*x)^3*tan(c)^2 - 18*B*a^2*b*tan(d*x)^2*tan(c)^3 - 18*A*a*b^2*tan(d*x)^2*tan(c)^3 + 6*B*b^3*tan(d*x)^2*tan(c)^3 + 18*A*a^3*d*x*tan(d*x)*tan(c) - 54*B*a^2*b*d*x*tan(d*x)*tan(c) - 54*A*a*b^2*d*x*tan(d*x)*tan(c) + 18*B*b^3*d*x*tan(d*x)*tan(c) + 9*B*a*b^2*tan(d*x)^3*tan(c) + 3*A*b^3*tan(d*x)^3*tan(c) - 9*B*a*b^2*tan(d*x)^2*tan(c)^2 - 3*A*b^3*tan(d*x)^2*tan(c)^2 + 9*B*a*b^2*tan(d*x)*tan(c)^3 + 3*A*b^3*tan(d*x)*tan(c)^3 - 2*B*b^3*tan(d*x)^3 - 9*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 27*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 27*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 9*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 36*B*a^2*b*tan(d*x)^2*tan(c) + 36*A*a*b^2*tan(d*x)^2*tan(c) - 18*B*b^3*tan(d*x)^2*tan(c) + 36*B*a^2*b*tan(d*x)*tan(c)^2 + 36*A*a*b^2*tan(d*x)*tan(c)^2 - 18*B*b^3*tan(d*x)*tan(c)^2 - 2*B*b^3*tan(c)^3 - 6*A*a^3*d*x + 18*B*a^2*b*d*x + 18*A*a*b^2*d*x - 6*B*b^3*d*x - 9*B*a*b^2*tan(d*x)^2 - 3*A*b^3*tan(d*x)^2 + 9*B*a*b^2*tan(d*x)*tan(c) + 3*A*b^3*tan(d*x)*tan(c) - 9*B*a*b^2*tan(c)^2 - 3*A*b^3*tan(c)^2 + 3*B*a^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 9*A*a^2*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 9*B*a*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 3*A*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 18*B*a^2*b*tan(d*x) - 18*A*a*b^2*tan(d*x) + 6*B*b^3*tan(d*x) - 18*B*a^2*b*tan(c) - 18*A*a*b^2*tan(c) + 6*B*b^3*tan(c) - 9*B*a*b^2 - 3*A*b^3)/(d*tan(d*x)^3*tan(c)^3 - 3*d*tan(d*x)^2*tan(c)^2 + 3*d*tan(d*x)*tan(c) - d)","B",0
251,1,129,0,1.871949," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{B b^{3} \tan\left(d x + c\right)^{2} + 2 \, A a^{3} \log\left({\left| \tan\left(d x + c\right) \right|}\right) + 6 \, B a b^{2} \tan\left(d x + c\right) + 2 \, A b^{3} \tan\left(d x + c\right) + 2 \, {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} {\left(d x + c\right)} - {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2} + B b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{2 \, d}"," ",0,"1/2*(B*b^3*tan(d*x + c)^2 + 2*A*a^3*log(abs(tan(d*x + c))) + 6*B*a*b^2*tan(d*x + c) + 2*A*b^3*tan(d*x + c) + 2*(B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*(d*x + c) - (A*a^3 - 3*B*a^2*b - 3*A*a*b^2 + B*b^3)*log(tan(d*x + c)^2 + 1))/d","A",0
252,1,152,0,2.394229," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, B b^{3} \tan\left(d x + c\right) - 2 \, {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2} + B b^{3}\right)} {\left(d x + c\right)} - {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right) + 2 \, {\left(B a^{3} + 3 \, A a^{2} b\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right) - \frac{2 \, {\left(B a^{3} \tan\left(d x + c\right) + 3 \, A a^{2} b \tan\left(d x + c\right) + A a^{3}\right)}}{\tan\left(d x + c\right)}}{2 \, d}"," ",0,"1/2*(2*B*b^3*tan(d*x + c) - 2*(A*a^3 - 3*B*a^2*b - 3*A*a*b^2 + B*b^3)*(d*x + c) - (B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*log(tan(d*x + c)^2 + 1) + 2*(B*a^3 + 3*A*a^2*b)*log(abs(tan(d*x + c))) - 2*(B*a^3*tan(d*x + c) + 3*A*a^2*b*tan(d*x + c) + A*a^3)/tan(d*x + c))/d","A",0
253,1,193,0,3.044154," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{2 \, {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} {\left(d x + c\right)} - {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2} + B b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right) + 2 \, {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right) - \frac{3 \, A a^{3} \tan\left(d x + c\right)^{2} - 9 \, B a^{2} b \tan\left(d x + c\right)^{2} - 9 \, A a b^{2} \tan\left(d x + c\right)^{2} - 2 \, B a^{3} \tan\left(d x + c\right) - 6 \, A a^{2} b \tan\left(d x + c\right) - A a^{3}}{\tan\left(d x + c\right)^{2}}}{2 \, d}"," ",0,"-1/2*(2*(B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*(d*x + c) - (A*a^3 - 3*B*a^2*b - 3*A*a*b^2 + B*b^3)*log(tan(d*x + c)^2 + 1) + 2*(A*a^3 - 3*B*a^2*b - 3*A*a*b^2)*log(abs(tan(d*x + c))) - (3*A*a^3*tan(d*x + c)^2 - 9*B*a^2*b*tan(d*x + c)^2 - 9*A*a*b^2*tan(d*x + c)^2 - 2*B*a^3*tan(d*x + c) - 6*A*a^2*b*tan(d*x + c) - A*a^3)/tan(d*x + c)^2)/d","A",0
254,1,390,0,3.776865," ","integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 3 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 9 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 15 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 36 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 36 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 24 \, {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2} + B b^{3}\right)} {\left(d x + c\right)} + 24 \, {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) - 24 \, {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{44 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 132 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 132 \, B a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 44 \, A b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 15 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 36 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 36 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 3 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 9 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(A*a^3*tan(1/2*d*x + 1/2*c)^3 - 3*B*a^3*tan(1/2*d*x + 1/2*c)^2 - 9*A*a^2*b*tan(1/2*d*x + 1/2*c)^2 - 15*A*a^3*tan(1/2*d*x + 1/2*c) + 36*B*a^2*b*tan(1/2*d*x + 1/2*c) + 36*A*a*b^2*tan(1/2*d*x + 1/2*c) + 24*(A*a^3 - 3*B*a^2*b - 3*A*a*b^2 + B*b^3)*(d*x + c) + 24*(B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*log(tan(1/2*d*x + 1/2*c)^2 + 1) - 24*(B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*log(abs(tan(1/2*d*x + 1/2*c))) + (44*B*a^3*tan(1/2*d*x + 1/2*c)^3 + 132*A*a^2*b*tan(1/2*d*x + 1/2*c)^3 - 132*B*a*b^2*tan(1/2*d*x + 1/2*c)^3 - 44*A*b^3*tan(1/2*d*x + 1/2*c)^3 + 15*A*a^3*tan(1/2*d*x + 1/2*c)^2 - 36*B*a^2*b*tan(1/2*d*x + 1/2*c)^2 - 36*A*a*b^2*tan(1/2*d*x + 1/2*c)^2 - 3*B*a^3*tan(1/2*d*x + 1/2*c) - 9*A*a^2*b*tan(1/2*d*x + 1/2*c) - A*a^3)/tan(1/2*d*x + 1/2*c)^3)/d","B",0
255,1,528,0,4.582982," ","integrate(cot(d*x+c)^5*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 8 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 24 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 72 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 72 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 120 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 360 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 288 \, B a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 96 \, A b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 192 \, {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} {\left(d x + c\right)} + 192 \, {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2} + B b^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) - 192 \, {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2} + B b^{3}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{400 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1200 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1200 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 400 \, B b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 120 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 360 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 288 \, B a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 96 \, A b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 72 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 72 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 24 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 8*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 24*A*a^2*b*tan(1/2*d*x + 1/2*c)^3 - 36*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 72*B*a^2*b*tan(1/2*d*x + 1/2*c)^2 + 72*A*a*b^2*tan(1/2*d*x + 1/2*c)^2 + 120*B*a^3*tan(1/2*d*x + 1/2*c) + 360*A*a^2*b*tan(1/2*d*x + 1/2*c) - 288*B*a*b^2*tan(1/2*d*x + 1/2*c) - 96*A*b^3*tan(1/2*d*x + 1/2*c) - 192*(B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*(d*x + c) + 192*(A*a^3 - 3*B*a^2*b - 3*A*a*b^2 + B*b^3)*log(tan(1/2*d*x + 1/2*c)^2 + 1) - 192*(A*a^3 - 3*B*a^2*b - 3*A*a*b^2 + B*b^3)*log(abs(tan(1/2*d*x + 1/2*c))) + (400*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 1200*B*a^2*b*tan(1/2*d*x + 1/2*c)^4 - 1200*A*a*b^2*tan(1/2*d*x + 1/2*c)^4 + 400*B*b^3*tan(1/2*d*x + 1/2*c)^4 - 120*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 360*A*a^2*b*tan(1/2*d*x + 1/2*c)^3 + 288*B*a*b^2*tan(1/2*d*x + 1/2*c)^3 + 96*A*b^3*tan(1/2*d*x + 1/2*c)^3 - 36*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 72*B*a^2*b*tan(1/2*d*x + 1/2*c)^2 + 72*A*a*b^2*tan(1/2*d*x + 1/2*c)^2 + 8*B*a^3*tan(1/2*d*x + 1/2*c) + 24*A*a^2*b*tan(1/2*d*x + 1/2*c) + 3*A*a^3)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
256,1,670,0,6.110842," ","integrate(cot(d*x+c)^6*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 15 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 45 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 70 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 120 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 120 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 180 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 540 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 360 \, B a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 120 \, A b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 660 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1800 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 1800 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 480 \, B b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 960 \, {\left(A a^{3} - 3 \, B a^{2} b - 3 \, A a b^{2} + B b^{3}\right)} {\left(d x + c\right)} - 960 \, {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) + 960 \, {\left(B a^{3} + 3 \, A a^{2} b - 3 \, B a b^{2} - A b^{3}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{2192 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 6576 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 6576 \, B a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 2192 \, A b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 660 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1800 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1800 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 480 \, B b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 180 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 540 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 360 \, B a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 120 \, A b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 70 \, A a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 120 \, B a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 120 \, A a b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 15 \, B a^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 45 \, A a^{2} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 6 \, A a^{3}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5}}}{960 \, d}"," ",0,"1/960*(6*A*a^3*tan(1/2*d*x + 1/2*c)^5 - 15*B*a^3*tan(1/2*d*x + 1/2*c)^4 - 45*A*a^2*b*tan(1/2*d*x + 1/2*c)^4 - 70*A*a^3*tan(1/2*d*x + 1/2*c)^3 + 120*B*a^2*b*tan(1/2*d*x + 1/2*c)^3 + 120*A*a*b^2*tan(1/2*d*x + 1/2*c)^3 + 180*B*a^3*tan(1/2*d*x + 1/2*c)^2 + 540*A*a^2*b*tan(1/2*d*x + 1/2*c)^2 - 360*B*a*b^2*tan(1/2*d*x + 1/2*c)^2 - 120*A*b^3*tan(1/2*d*x + 1/2*c)^2 + 660*A*a^3*tan(1/2*d*x + 1/2*c) - 1800*B*a^2*b*tan(1/2*d*x + 1/2*c) - 1800*A*a*b^2*tan(1/2*d*x + 1/2*c) + 480*B*b^3*tan(1/2*d*x + 1/2*c) - 960*(A*a^3 - 3*B*a^2*b - 3*A*a*b^2 + B*b^3)*(d*x + c) - 960*(B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*log(tan(1/2*d*x + 1/2*c)^2 + 1) + 960*(B*a^3 + 3*A*a^2*b - 3*B*a*b^2 - A*b^3)*log(abs(tan(1/2*d*x + 1/2*c))) - (2192*B*a^3*tan(1/2*d*x + 1/2*c)^5 + 6576*A*a^2*b*tan(1/2*d*x + 1/2*c)^5 - 6576*B*a*b^2*tan(1/2*d*x + 1/2*c)^5 - 2192*A*b^3*tan(1/2*d*x + 1/2*c)^5 + 660*A*a^3*tan(1/2*d*x + 1/2*c)^4 - 1800*B*a^2*b*tan(1/2*d*x + 1/2*c)^4 - 1800*A*a*b^2*tan(1/2*d*x + 1/2*c)^4 + 480*B*b^3*tan(1/2*d*x + 1/2*c)^4 - 180*B*a^3*tan(1/2*d*x + 1/2*c)^3 - 540*A*a^2*b*tan(1/2*d*x + 1/2*c)^3 + 360*B*a*b^2*tan(1/2*d*x + 1/2*c)^3 + 120*A*b^3*tan(1/2*d*x + 1/2*c)^3 - 70*A*a^3*tan(1/2*d*x + 1/2*c)^2 + 120*B*a^2*b*tan(1/2*d*x + 1/2*c)^2 + 120*A*a*b^2*tan(1/2*d*x + 1/2*c)^2 + 15*B*a^3*tan(1/2*d*x + 1/2*c) + 45*A*a^2*b*tan(1/2*d*x + 1/2*c) + 6*A*a^3)/tan(1/2*d*x + 1/2*c)^5)/d","B",0
257,1,6392,0,15.985748," ","integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{60 \, A a^{4} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 240 \, B a^{3} b d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 360 \, A a^{2} b^{2} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 240 \, B a b^{3} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 60 \, A b^{4} d x \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 30 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 120 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 180 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 120 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 30 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 360 \, A a^{4} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 1440 \, B a^{3} b d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 2160 \, A a^{2} b^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 1440 \, B a b^{3} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 360 \, A b^{4} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 30 \, B a^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 120 \, A a^{3} b \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 270 \, B a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 180 \, A a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 55 \, B b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{6} + 180 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 720 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 1080 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 720 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 180 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 60 \, A a^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} - 240 \, B a^{3} b \tan\left(d x\right)^{6} \tan\left(c\right)^{5} - 360 \, A a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} + 240 \, B a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} + 60 \, A b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{5} + 60 \, A a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} - 240 \, B a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{6} - 360 \, A a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} + 240 \, B a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} + 60 \, A b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{6} + 900 \, A a^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 3600 \, B a^{3} b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 5400 \, A a^{2} b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 3600 \, B a b^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 900 \, A b^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 30 \, B a^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{4} - 120 \, A a^{3} b \tan\left(d x\right)^{6} \tan\left(c\right)^{4} + 180 \, B a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{4} + 120 \, A a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{4} - 30 \, B b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{4} + 120 \, B a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 480 \, A a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 1260 \, B a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 840 \, A a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 270 \, B b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 30 \, B a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{6} - 120 \, A a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{6} + 180 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{6} + 120 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{6} - 30 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{6} + 80 \, B a^{3} b \tan\left(d x\right)^{6} \tan\left(c\right)^{3} + 120 \, A a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} - 80 \, B a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} - 20 \, A b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{3} - 450 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 1800 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 2700 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 1800 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 450 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 300 \, A a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 1440 \, B a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 2160 \, A a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 1440 \, B a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 360 \, A b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 300 \, A a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 1440 \, B a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 2160 \, A a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 1440 \, B a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 360 \, A b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 80 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{6} + 120 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} - 80 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} - 20 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{6} - 90 \, B a^{2} b^{2} \tan\left(d x\right)^{6} \tan\left(c\right)^{2} - 60 \, A a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right)^{2} + 15 \, B b^{4} \tan\left(d x\right)^{6} \tan\left(c\right)^{2} - 1200 \, A a^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 4800 \, B a^{3} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 7200 \, A a^{2} b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 4800 \, B a b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 1200 \, A b^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 120 \, B a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 480 \, A a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{3} - 1080 \, B a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} - 720 \, A a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 180 \, B b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} - 210 \, B a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 840 \, A a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 2070 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 1380 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 495 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 120 \, B a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 480 \, A a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{5} - 1080 \, B a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} - 720 \, A a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 180 \, B b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} - 90 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{6} - 60 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{6} + 15 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{6} + 48 \, B a b^{3} \tan\left(d x\right)^{6} \tan\left(c\right) + 12 \, A b^{4} \tan\left(d x\right)^{6} \tan\left(c\right) - 240 \, B a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 360 \, A a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 480 \, B a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 120 \, A b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 600 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 2400 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3600 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 2400 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 600 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 600 \, A a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 3120 \, B a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 4680 \, A a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 3600 \, B a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 900 \, A b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 600 \, A a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 3120 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 4680 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 3600 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 900 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 240 \, B a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 360 \, A a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 480 \, B a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 120 \, A b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 48 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right)^{6} + 12 \, A b^{4} \tan\left(d x\right) \tan\left(c\right)^{6} - 10 \, B b^{4} \tan\left(d x\right)^{6} + 180 \, B a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right) + 120 \, A a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right) - 90 \, B b^{4} \tan\left(d x\right)^{5} \tan\left(c\right) + 900 \, A a^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 3600 \, B a^{3} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 5400 \, A a^{2} b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3600 \, B a b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 900 \, A b^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 180 \, B a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 720 \, A a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 1800 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 1200 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 450 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 240 \, B a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 960 \, A a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 2160 \, B a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 1440 \, A a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 360 \, B b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 180 \, B a^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 720 \, A a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 1800 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 1200 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 450 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 180 \, B a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{5} + 120 \, A a b^{3} \tan\left(d x\right) \tan\left(c\right)^{5} - 90 \, B b^{4} \tan\left(d x\right) \tan\left(c\right)^{5} - 10 \, B b^{4} \tan\left(c\right)^{6} - 48 \, B a b^{3} \tan\left(d x\right)^{5} - 12 \, A b^{4} \tan\left(d x\right)^{5} + 240 \, B a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right) + 360 \, A a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) - 480 \, B a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right) - 120 \, A b^{4} \tan\left(d x\right)^{4} \tan\left(c\right) - 450 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 1800 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 2700 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 1800 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 450 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 600 \, A a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 3120 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 4680 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 3600 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 900 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 600 \, A a^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 3120 \, B a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 4680 \, A a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 3600 \, B a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 900 \, A b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 240 \, B a^{3} b \tan\left(d x\right) \tan\left(c\right)^{4} + 360 \, A a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} - 480 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right)^{4} - 120 \, A b^{4} \tan\left(d x\right) \tan\left(c\right)^{4} - 48 \, B a b^{3} \tan\left(c\right)^{5} - 12 \, A b^{4} \tan\left(c\right)^{5} - 90 \, B a^{2} b^{2} \tan\left(d x\right)^{4} - 60 \, A a b^{3} \tan\left(d x\right)^{4} + 15 \, B b^{4} \tan\left(d x\right)^{4} - 360 \, A a^{4} d x \tan\left(d x\right) \tan\left(c\right) + 1440 \, B a^{3} b d x \tan\left(d x\right) \tan\left(c\right) + 2160 \, A a^{2} b^{2} d x \tan\left(d x\right) \tan\left(c\right) - 1440 \, B a b^{3} d x \tan\left(d x\right) \tan\left(c\right) - 360 \, A b^{4} d x \tan\left(d x\right) \tan\left(c\right) + 120 \, B a^{4} \tan\left(d x\right)^{3} \tan\left(c\right) + 480 \, A a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right) - 1080 \, B a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) - 720 \, A a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right) + 180 \, B b^{4} \tan\left(d x\right)^{3} \tan\left(c\right) - 210 \, B a^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 840 \, A a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 2070 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 1380 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 495 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 120 \, B a^{4} \tan\left(d x\right) \tan\left(c\right)^{3} + 480 \, A a^{3} b \tan\left(d x\right) \tan\left(c\right)^{3} - 1080 \, B a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} - 720 \, A a b^{3} \tan\left(d x\right) \tan\left(c\right)^{3} + 180 \, B b^{4} \tan\left(d x\right) \tan\left(c\right)^{3} - 90 \, B a^{2} b^{2} \tan\left(c\right)^{4} - 60 \, A a b^{3} \tan\left(c\right)^{4} + 15 \, B b^{4} \tan\left(c\right)^{4} - 80 \, B a^{3} b \tan\left(d x\right)^{3} - 120 \, A a^{2} b^{2} \tan\left(d x\right)^{3} + 80 \, B a b^{3} \tan\left(d x\right)^{3} + 20 \, A b^{4} \tan\left(d x\right)^{3} + 180 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 720 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 1080 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 720 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 180 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 300 \, A a^{4} \tan\left(d x\right)^{2} \tan\left(c\right) - 1440 \, B a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right) - 2160 \, A a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 1440 \, B a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) + 360 \, A b^{4} \tan\left(d x\right)^{2} \tan\left(c\right) + 300 \, A a^{4} \tan\left(d x\right) \tan\left(c\right)^{2} - 1440 \, B a^{3} b \tan\left(d x\right) \tan\left(c\right)^{2} - 2160 \, A a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 1440 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} + 360 \, A b^{4} \tan\left(d x\right) \tan\left(c\right)^{2} - 80 \, B a^{3} b \tan\left(c\right)^{3} - 120 \, A a^{2} b^{2} \tan\left(c\right)^{3} + 80 \, B a b^{3} \tan\left(c\right)^{3} + 20 \, A b^{4} \tan\left(c\right)^{3} + 60 \, A a^{4} d x - 240 \, B a^{3} b d x - 360 \, A a^{2} b^{2} d x + 240 \, B a b^{3} d x + 60 \, A b^{4} d x - 30 \, B a^{4} \tan\left(d x\right)^{2} - 120 \, A a^{3} b \tan\left(d x\right)^{2} + 180 \, B a^{2} b^{2} \tan\left(d x\right)^{2} + 120 \, A a b^{3} \tan\left(d x\right)^{2} - 30 \, B b^{4} \tan\left(d x\right)^{2} + 120 \, B a^{4} \tan\left(d x\right) \tan\left(c\right) + 480 \, A a^{3} b \tan\left(d x\right) \tan\left(c\right) - 1260 \, B a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right) - 840 \, A a b^{3} \tan\left(d x\right) \tan\left(c\right) + 270 \, B b^{4} \tan\left(d x\right) \tan\left(c\right) - 30 \, B a^{4} \tan\left(c\right)^{2} - 120 \, A a^{3} b \tan\left(c\right)^{2} + 180 \, B a^{2} b^{2} \tan\left(c\right)^{2} + 120 \, A a b^{3} \tan\left(c\right)^{2} - 30 \, B b^{4} \tan\left(c\right)^{2} - 30 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 120 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 180 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 120 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 30 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 60 \, A a^{4} \tan\left(d x\right) + 240 \, B a^{3} b \tan\left(d x\right) + 360 \, A a^{2} b^{2} \tan\left(d x\right) - 240 \, B a b^{3} \tan\left(d x\right) - 60 \, A b^{4} \tan\left(d x\right) - 60 \, A a^{4} \tan\left(c\right) + 240 \, B a^{3} b \tan\left(c\right) + 360 \, A a^{2} b^{2} \tan\left(c\right) - 240 \, B a b^{3} \tan\left(c\right) - 60 \, A b^{4} \tan\left(c\right) - 30 \, B a^{4} - 120 \, A a^{3} b + 270 \, B a^{2} b^{2} + 180 \, A a b^{3} - 55 \, B b^{4}}{60 \, {\left(d \tan\left(d x\right)^{6} \tan\left(c\right)^{6} - 6 \, d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 15 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 20 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 15 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 6 \, d \tan\left(d x\right) \tan\left(c\right) + d\right)}}"," ",0,"-1/60*(60*A*a^4*d*x*tan(d*x)^6*tan(c)^6 - 240*B*a^3*b*d*x*tan(d*x)^6*tan(c)^6 - 360*A*a^2*b^2*d*x*tan(d*x)^6*tan(c)^6 + 240*B*a*b^3*d*x*tan(d*x)^6*tan(c)^6 + 60*A*b^4*d*x*tan(d*x)^6*tan(c)^6 - 30*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^6*tan(c)^6 - 120*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^6*tan(c)^6 + 180*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^6*tan(c)^6 + 120*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^6*tan(c)^6 - 30*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^6*tan(c)^6 - 360*A*a^4*d*x*tan(d*x)^5*tan(c)^5 + 1440*B*a^3*b*d*x*tan(d*x)^5*tan(c)^5 + 2160*A*a^2*b^2*d*x*tan(d*x)^5*tan(c)^5 - 1440*B*a*b^3*d*x*tan(d*x)^5*tan(c)^5 - 360*A*b^4*d*x*tan(d*x)^5*tan(c)^5 - 30*B*a^4*tan(d*x)^6*tan(c)^6 - 120*A*a^3*b*tan(d*x)^6*tan(c)^6 + 270*B*a^2*b^2*tan(d*x)^6*tan(c)^6 + 180*A*a*b^3*tan(d*x)^6*tan(c)^6 - 55*B*b^4*tan(d*x)^6*tan(c)^6 + 180*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 + 720*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 1080*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 720*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 + 180*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 + 60*A*a^4*tan(d*x)^6*tan(c)^5 - 240*B*a^3*b*tan(d*x)^6*tan(c)^5 - 360*A*a^2*b^2*tan(d*x)^6*tan(c)^5 + 240*B*a*b^3*tan(d*x)^6*tan(c)^5 + 60*A*b^4*tan(d*x)^6*tan(c)^5 + 60*A*a^4*tan(d*x)^5*tan(c)^6 - 240*B*a^3*b*tan(d*x)^5*tan(c)^6 - 360*A*a^2*b^2*tan(d*x)^5*tan(c)^6 + 240*B*a*b^3*tan(d*x)^5*tan(c)^6 + 60*A*b^4*tan(d*x)^5*tan(c)^6 + 900*A*a^4*d*x*tan(d*x)^4*tan(c)^4 - 3600*B*a^3*b*d*x*tan(d*x)^4*tan(c)^4 - 5400*A*a^2*b^2*d*x*tan(d*x)^4*tan(c)^4 + 3600*B*a*b^3*d*x*tan(d*x)^4*tan(c)^4 + 900*A*b^4*d*x*tan(d*x)^4*tan(c)^4 - 30*B*a^4*tan(d*x)^6*tan(c)^4 - 120*A*a^3*b*tan(d*x)^6*tan(c)^4 + 180*B*a^2*b^2*tan(d*x)^6*tan(c)^4 + 120*A*a*b^3*tan(d*x)^6*tan(c)^4 - 30*B*b^4*tan(d*x)^6*tan(c)^4 + 120*B*a^4*tan(d*x)^5*tan(c)^5 + 480*A*a^3*b*tan(d*x)^5*tan(c)^5 - 1260*B*a^2*b^2*tan(d*x)^5*tan(c)^5 - 840*A*a*b^3*tan(d*x)^5*tan(c)^5 + 270*B*b^4*tan(d*x)^5*tan(c)^5 - 30*B*a^4*tan(d*x)^4*tan(c)^6 - 120*A*a^3*b*tan(d*x)^4*tan(c)^6 + 180*B*a^2*b^2*tan(d*x)^4*tan(c)^6 + 120*A*a*b^3*tan(d*x)^4*tan(c)^6 - 30*B*b^4*tan(d*x)^4*tan(c)^6 + 80*B*a^3*b*tan(d*x)^6*tan(c)^3 + 120*A*a^2*b^2*tan(d*x)^6*tan(c)^3 - 80*B*a*b^3*tan(d*x)^6*tan(c)^3 - 20*A*b^4*tan(d*x)^6*tan(c)^3 - 450*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 1800*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 2700*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 1800*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 450*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 300*A*a^4*tan(d*x)^5*tan(c)^4 + 1440*B*a^3*b*tan(d*x)^5*tan(c)^4 + 2160*A*a^2*b^2*tan(d*x)^5*tan(c)^4 - 1440*B*a*b^3*tan(d*x)^5*tan(c)^4 - 360*A*b^4*tan(d*x)^5*tan(c)^4 - 300*A*a^4*tan(d*x)^4*tan(c)^5 + 1440*B*a^3*b*tan(d*x)^4*tan(c)^5 + 2160*A*a^2*b^2*tan(d*x)^4*tan(c)^5 - 1440*B*a*b^3*tan(d*x)^4*tan(c)^5 - 360*A*b^4*tan(d*x)^4*tan(c)^5 + 80*B*a^3*b*tan(d*x)^3*tan(c)^6 + 120*A*a^2*b^2*tan(d*x)^3*tan(c)^6 - 80*B*a*b^3*tan(d*x)^3*tan(c)^6 - 20*A*b^4*tan(d*x)^3*tan(c)^6 - 90*B*a^2*b^2*tan(d*x)^6*tan(c)^2 - 60*A*a*b^3*tan(d*x)^6*tan(c)^2 + 15*B*b^4*tan(d*x)^6*tan(c)^2 - 1200*A*a^4*d*x*tan(d*x)^3*tan(c)^3 + 4800*B*a^3*b*d*x*tan(d*x)^3*tan(c)^3 + 7200*A*a^2*b^2*d*x*tan(d*x)^3*tan(c)^3 - 4800*B*a*b^3*d*x*tan(d*x)^3*tan(c)^3 - 1200*A*b^4*d*x*tan(d*x)^3*tan(c)^3 + 120*B*a^4*tan(d*x)^5*tan(c)^3 + 480*A*a^3*b*tan(d*x)^5*tan(c)^3 - 1080*B*a^2*b^2*tan(d*x)^5*tan(c)^3 - 720*A*a*b^3*tan(d*x)^5*tan(c)^3 + 180*B*b^4*tan(d*x)^5*tan(c)^3 - 210*B*a^4*tan(d*x)^4*tan(c)^4 - 840*A*a^3*b*tan(d*x)^4*tan(c)^4 + 2070*B*a^2*b^2*tan(d*x)^4*tan(c)^4 + 1380*A*a*b^3*tan(d*x)^4*tan(c)^4 - 495*B*b^4*tan(d*x)^4*tan(c)^4 + 120*B*a^4*tan(d*x)^3*tan(c)^5 + 480*A*a^3*b*tan(d*x)^3*tan(c)^5 - 1080*B*a^2*b^2*tan(d*x)^3*tan(c)^5 - 720*A*a*b^3*tan(d*x)^3*tan(c)^5 + 180*B*b^4*tan(d*x)^3*tan(c)^5 - 90*B*a^2*b^2*tan(d*x)^2*tan(c)^6 - 60*A*a*b^3*tan(d*x)^2*tan(c)^6 + 15*B*b^4*tan(d*x)^2*tan(c)^6 + 48*B*a*b^3*tan(d*x)^6*tan(c) + 12*A*b^4*tan(d*x)^6*tan(c) - 240*B*a^3*b*tan(d*x)^5*tan(c)^2 - 360*A*a^2*b^2*tan(d*x)^5*tan(c)^2 + 480*B*a*b^3*tan(d*x)^5*tan(c)^2 + 120*A*b^4*tan(d*x)^5*tan(c)^2 + 600*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 2400*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 3600*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 2400*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 600*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 600*A*a^4*tan(d*x)^4*tan(c)^3 - 3120*B*a^3*b*tan(d*x)^4*tan(c)^3 - 4680*A*a^2*b^2*tan(d*x)^4*tan(c)^3 + 3600*B*a*b^3*tan(d*x)^4*tan(c)^3 + 900*A*b^4*tan(d*x)^4*tan(c)^3 + 600*A*a^4*tan(d*x)^3*tan(c)^4 - 3120*B*a^3*b*tan(d*x)^3*tan(c)^4 - 4680*A*a^2*b^2*tan(d*x)^3*tan(c)^4 + 3600*B*a*b^3*tan(d*x)^3*tan(c)^4 + 900*A*b^4*tan(d*x)^3*tan(c)^4 - 240*B*a^3*b*tan(d*x)^2*tan(c)^5 - 360*A*a^2*b^2*tan(d*x)^2*tan(c)^5 + 480*B*a*b^3*tan(d*x)^2*tan(c)^5 + 120*A*b^4*tan(d*x)^2*tan(c)^5 + 48*B*a*b^3*tan(d*x)*tan(c)^6 + 12*A*b^4*tan(d*x)*tan(c)^6 - 10*B*b^4*tan(d*x)^6 + 180*B*a^2*b^2*tan(d*x)^5*tan(c) + 120*A*a*b^3*tan(d*x)^5*tan(c) - 90*B*b^4*tan(d*x)^5*tan(c) + 900*A*a^4*d*x*tan(d*x)^2*tan(c)^2 - 3600*B*a^3*b*d*x*tan(d*x)^2*tan(c)^2 - 5400*A*a^2*b^2*d*x*tan(d*x)^2*tan(c)^2 + 3600*B*a*b^3*d*x*tan(d*x)^2*tan(c)^2 + 900*A*b^4*d*x*tan(d*x)^2*tan(c)^2 - 180*B*a^4*tan(d*x)^4*tan(c)^2 - 720*A*a^3*b*tan(d*x)^4*tan(c)^2 + 1800*B*a^2*b^2*tan(d*x)^4*tan(c)^2 + 1200*A*a*b^3*tan(d*x)^4*tan(c)^2 - 450*B*b^4*tan(d*x)^4*tan(c)^2 + 240*B*a^4*tan(d*x)^3*tan(c)^3 + 960*A*a^3*b*tan(d*x)^3*tan(c)^3 - 2160*B*a^2*b^2*tan(d*x)^3*tan(c)^3 - 1440*A*a*b^3*tan(d*x)^3*tan(c)^3 + 360*B*b^4*tan(d*x)^3*tan(c)^3 - 180*B*a^4*tan(d*x)^2*tan(c)^4 - 720*A*a^3*b*tan(d*x)^2*tan(c)^4 + 1800*B*a^2*b^2*tan(d*x)^2*tan(c)^4 + 1200*A*a*b^3*tan(d*x)^2*tan(c)^4 - 450*B*b^4*tan(d*x)^2*tan(c)^4 + 180*B*a^2*b^2*tan(d*x)*tan(c)^5 + 120*A*a*b^3*tan(d*x)*tan(c)^5 - 90*B*b^4*tan(d*x)*tan(c)^5 - 10*B*b^4*tan(c)^6 - 48*B*a*b^3*tan(d*x)^5 - 12*A*b^4*tan(d*x)^5 + 240*B*a^3*b*tan(d*x)^4*tan(c) + 360*A*a^2*b^2*tan(d*x)^4*tan(c) - 480*B*a*b^3*tan(d*x)^4*tan(c) - 120*A*b^4*tan(d*x)^4*tan(c) - 450*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 1800*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 2700*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 1800*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 450*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 600*A*a^4*tan(d*x)^3*tan(c)^2 + 3120*B*a^3*b*tan(d*x)^3*tan(c)^2 + 4680*A*a^2*b^2*tan(d*x)^3*tan(c)^2 - 3600*B*a*b^3*tan(d*x)^3*tan(c)^2 - 900*A*b^4*tan(d*x)^3*tan(c)^2 - 600*A*a^4*tan(d*x)^2*tan(c)^3 + 3120*B*a^3*b*tan(d*x)^2*tan(c)^3 + 4680*A*a^2*b^2*tan(d*x)^2*tan(c)^3 - 3600*B*a*b^3*tan(d*x)^2*tan(c)^3 - 900*A*b^4*tan(d*x)^2*tan(c)^3 + 240*B*a^3*b*tan(d*x)*tan(c)^4 + 360*A*a^2*b^2*tan(d*x)*tan(c)^4 - 480*B*a*b^3*tan(d*x)*tan(c)^4 - 120*A*b^4*tan(d*x)*tan(c)^4 - 48*B*a*b^3*tan(c)^5 - 12*A*b^4*tan(c)^5 - 90*B*a^2*b^2*tan(d*x)^4 - 60*A*a*b^3*tan(d*x)^4 + 15*B*b^4*tan(d*x)^4 - 360*A*a^4*d*x*tan(d*x)*tan(c) + 1440*B*a^3*b*d*x*tan(d*x)*tan(c) + 2160*A*a^2*b^2*d*x*tan(d*x)*tan(c) - 1440*B*a*b^3*d*x*tan(d*x)*tan(c) - 360*A*b^4*d*x*tan(d*x)*tan(c) + 120*B*a^4*tan(d*x)^3*tan(c) + 480*A*a^3*b*tan(d*x)^3*tan(c) - 1080*B*a^2*b^2*tan(d*x)^3*tan(c) - 720*A*a*b^3*tan(d*x)^3*tan(c) + 180*B*b^4*tan(d*x)^3*tan(c) - 210*B*a^4*tan(d*x)^2*tan(c)^2 - 840*A*a^3*b*tan(d*x)^2*tan(c)^2 + 2070*B*a^2*b^2*tan(d*x)^2*tan(c)^2 + 1380*A*a*b^3*tan(d*x)^2*tan(c)^2 - 495*B*b^4*tan(d*x)^2*tan(c)^2 + 120*B*a^4*tan(d*x)*tan(c)^3 + 480*A*a^3*b*tan(d*x)*tan(c)^3 - 1080*B*a^2*b^2*tan(d*x)*tan(c)^3 - 720*A*a*b^3*tan(d*x)*tan(c)^3 + 180*B*b^4*tan(d*x)*tan(c)^3 - 90*B*a^2*b^2*tan(c)^4 - 60*A*a*b^3*tan(c)^4 + 15*B*b^4*tan(c)^4 - 80*B*a^3*b*tan(d*x)^3 - 120*A*a^2*b^2*tan(d*x)^3 + 80*B*a*b^3*tan(d*x)^3 + 20*A*b^4*tan(d*x)^3 + 180*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 720*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 1080*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 720*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 180*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 300*A*a^4*tan(d*x)^2*tan(c) - 1440*B*a^3*b*tan(d*x)^2*tan(c) - 2160*A*a^2*b^2*tan(d*x)^2*tan(c) + 1440*B*a*b^3*tan(d*x)^2*tan(c) + 360*A*b^4*tan(d*x)^2*tan(c) + 300*A*a^4*tan(d*x)*tan(c)^2 - 1440*B*a^3*b*tan(d*x)*tan(c)^2 - 2160*A*a^2*b^2*tan(d*x)*tan(c)^2 + 1440*B*a*b^3*tan(d*x)*tan(c)^2 + 360*A*b^4*tan(d*x)*tan(c)^2 - 80*B*a^3*b*tan(c)^3 - 120*A*a^2*b^2*tan(c)^3 + 80*B*a*b^3*tan(c)^3 + 20*A*b^4*tan(c)^3 + 60*A*a^4*d*x - 240*B*a^3*b*d*x - 360*A*a^2*b^2*d*x + 240*B*a*b^3*d*x + 60*A*b^4*d*x - 30*B*a^4*tan(d*x)^2 - 120*A*a^3*b*tan(d*x)^2 + 180*B*a^2*b^2*tan(d*x)^2 + 120*A*a*b^3*tan(d*x)^2 - 30*B*b^4*tan(d*x)^2 + 120*B*a^4*tan(d*x)*tan(c) + 480*A*a^3*b*tan(d*x)*tan(c) - 1260*B*a^2*b^2*tan(d*x)*tan(c) - 840*A*a*b^3*tan(d*x)*tan(c) + 270*B*b^4*tan(d*x)*tan(c) - 30*B*a^4*tan(c)^2 - 120*A*a^3*b*tan(c)^2 + 180*B*a^2*b^2*tan(c)^2 + 120*A*a*b^3*tan(c)^2 - 30*B*b^4*tan(c)^2 - 30*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 120*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 180*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 120*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 30*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 60*A*a^4*tan(d*x) + 240*B*a^3*b*tan(d*x) + 360*A*a^2*b^2*tan(d*x) - 240*B*a*b^3*tan(d*x) - 60*A*b^4*tan(d*x) - 60*A*a^4*tan(c) + 240*B*a^3*b*tan(c) + 360*A*a^2*b^2*tan(c) - 240*B*a*b^3*tan(c) - 60*A*b^4*tan(c) - 30*B*a^4 - 120*A*a^3*b + 270*B*a^2*b^2 + 180*A*a*b^3 - 55*B*b^4)/(d*tan(d*x)^6*tan(c)^6 - 6*d*tan(d*x)^5*tan(c)^5 + 15*d*tan(d*x)^4*tan(c)^4 - 20*d*tan(d*x)^3*tan(c)^3 + 15*d*tan(d*x)^2*tan(c)^2 - 6*d*tan(d*x)*tan(c) + d)","B",0
258,1,4789,0,10.132655," ","integrate(tan(d*x+c)*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{60 \, B a^{4} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 240 \, A a^{3} b d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 360 \, B a^{2} b^{2} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 240 \, A a b^{3} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 60 \, B b^{4} d x \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 30 \, A a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 120 \, B a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 180 \, A a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 120 \, B a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 30 \, A b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 300 \, B a^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 1200 \, A a^{3} b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 1800 \, B a^{2} b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 1200 \, A a b^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 300 \, B b^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 120 \, B a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 180 \, A a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 180 \, B a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} + 45 \, A b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 150 \, A a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 600 \, B a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 900 \, A a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 600 \, B a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 150 \, A b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 60 \, B a^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 240 \, A a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 360 \, B a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} - 240 \, A a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 60 \, B b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{4} + 60 \, B a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 240 \, A a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 360 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} - 240 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 60 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{5} + 600 \, B a^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 2400 \, A a^{3} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 3600 \, B a^{2} b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 2400 \, A a b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 600 \, B b^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 120 \, B a^{3} b \tan\left(d x\right)^{5} \tan\left(c\right)^{3} - 180 \, A a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 120 \, B a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 30 \, A b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{3} + 360 \, B a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 540 \, A a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 660 \, B a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 165 \, A b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 120 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{5} - 180 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 120 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 30 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{5} + 120 \, B a^{2} b^{2} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 80 \, A a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} - 20 \, B b^{4} \tan\left(d x\right)^{5} \tan\left(c\right)^{2} + 300 \, A a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 1200 \, B a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 1800 \, A a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 1200 \, B a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 300 \, A b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 240 \, B a^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 960 \, A a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 1800 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 1200 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 300 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 240 \, B a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 960 \, A a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 1800 \, B a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 1200 \, A a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 300 \, B b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 120 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} + 80 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 20 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{5} - 60 \, B a b^{3} \tan\left(d x\right)^{5} \tan\left(c\right) - 15 \, A b^{4} \tan\left(d x\right)^{5} \tan\left(c\right) - 600 \, B a^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 2400 \, A a^{3} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 3600 \, B a^{2} b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 2400 \, A a b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 600 \, B b^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 360 \, B a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 540 \, A a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 600 \, B a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 150 \, A b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 480 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 720 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 720 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 180 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 360 \, B a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 540 \, A a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 600 \, B a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 150 \, A b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 60 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right)^{5} - 15 \, A b^{4} \tan\left(d x\right) \tan\left(c\right)^{5} + 12 \, B b^{4} \tan\left(d x\right)^{5} - 240 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right) - 160 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right) + 100 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right) - 300 \, A a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 1200 \, B a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 1800 \, A a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 1200 \, B a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 300 \, A b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 360 \, B a^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 1440 \, A a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 2880 \, B a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 1920 \, A a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 600 \, B b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 360 \, B a^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 1440 \, A a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 2880 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 1920 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 600 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 240 \, B a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{4} - 160 \, A a b^{3} \tan\left(d x\right) \tan\left(c\right)^{4} + 100 \, B b^{4} \tan\left(d x\right) \tan\left(c\right)^{4} + 12 \, B b^{4} \tan\left(c\right)^{5} + 60 \, B a b^{3} \tan\left(d x\right)^{4} + 15 \, A b^{4} \tan\left(d x\right)^{4} + 300 \, B a^{4} d x \tan\left(d x\right) \tan\left(c\right) + 1200 \, A a^{3} b d x \tan\left(d x\right) \tan\left(c\right) - 1800 \, B a^{2} b^{2} d x \tan\left(d x\right) \tan\left(c\right) - 1200 \, A a b^{3} d x \tan\left(d x\right) \tan\left(c\right) + 300 \, B b^{4} d x \tan\left(d x\right) \tan\left(c\right) - 360 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right) - 540 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) + 600 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right) + 150 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right) + 480 \, B a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 720 \, A a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 720 \, B a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 180 \, A b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 360 \, B a^{3} b \tan\left(d x\right) \tan\left(c\right)^{3} - 540 \, A a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} + 600 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right)^{3} + 150 \, A b^{4} \tan\left(d x\right) \tan\left(c\right)^{3} + 60 \, B a b^{3} \tan\left(c\right)^{4} + 15 \, A b^{4} \tan\left(c\right)^{4} + 120 \, B a^{2} b^{2} \tan\left(d x\right)^{3} + 80 \, A a b^{3} \tan\left(d x\right)^{3} - 20 \, B b^{4} \tan\left(d x\right)^{3} + 150 \, A a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 600 \, B a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 900 \, A a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 600 \, B a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 150 \, A b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 240 \, B a^{4} \tan\left(d x\right)^{2} \tan\left(c\right) - 960 \, A a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right) + 1800 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 1200 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) - 300 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right) - 240 \, B a^{4} \tan\left(d x\right) \tan\left(c\right)^{2} - 960 \, A a^{3} b \tan\left(d x\right) \tan\left(c\right)^{2} + 1800 \, B a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 1200 \, A a b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} - 300 \, B b^{4} \tan\left(d x\right) \tan\left(c\right)^{2} + 120 \, B a^{2} b^{2} \tan\left(c\right)^{3} + 80 \, A a b^{3} \tan\left(c\right)^{3} - 20 \, B b^{4} \tan\left(c\right)^{3} - 60 \, B a^{4} d x - 240 \, A a^{3} b d x + 360 \, B a^{2} b^{2} d x + 240 \, A a b^{3} d x - 60 \, B b^{4} d x + 120 \, B a^{3} b \tan\left(d x\right)^{2} + 180 \, A a^{2} b^{2} \tan\left(d x\right)^{2} - 120 \, B a b^{3} \tan\left(d x\right)^{2} - 30 \, A b^{4} \tan\left(d x\right)^{2} - 360 \, B a^{3} b \tan\left(d x\right) \tan\left(c\right) - 540 \, A a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right) + 660 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right) + 165 \, A b^{4} \tan\left(d x\right) \tan\left(c\right) + 120 \, B a^{3} b \tan\left(c\right)^{2} + 180 \, A a^{2} b^{2} \tan\left(c\right)^{2} - 120 \, B a b^{3} \tan\left(c\right)^{2} - 30 \, A b^{4} \tan\left(c\right)^{2} - 30 \, A a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 120 \, B a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 180 \, A a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 120 \, B a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 30 \, A b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 60 \, B a^{4} \tan\left(d x\right) + 240 \, A a^{3} b \tan\left(d x\right) - 360 \, B a^{2} b^{2} \tan\left(d x\right) - 240 \, A a b^{3} \tan\left(d x\right) + 60 \, B b^{4} \tan\left(d x\right) + 60 \, B a^{4} \tan\left(c\right) + 240 \, A a^{3} b \tan\left(c\right) - 360 \, B a^{2} b^{2} \tan\left(c\right) - 240 \, A a b^{3} \tan\left(c\right) + 60 \, B b^{4} \tan\left(c\right) + 120 \, B a^{3} b + 180 \, A a^{2} b^{2} - 180 \, B a b^{3} - 45 \, A b^{4}}{60 \, {\left(d \tan\left(d x\right)^{5} \tan\left(c\right)^{5} - 5 \, d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 10 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 10 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 5 \, d \tan\left(d x\right) \tan\left(c\right) - d\right)}}"," ",0,"-1/60*(60*B*a^4*d*x*tan(d*x)^5*tan(c)^5 + 240*A*a^3*b*d*x*tan(d*x)^5*tan(c)^5 - 360*B*a^2*b^2*d*x*tan(d*x)^5*tan(c)^5 - 240*A*a*b^3*d*x*tan(d*x)^5*tan(c)^5 + 60*B*b^4*d*x*tan(d*x)^5*tan(c)^5 + 30*A*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 120*B*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 180*A*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 + 120*B*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 + 30*A*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^5*tan(c)^5 - 300*B*a^4*d*x*tan(d*x)^4*tan(c)^4 - 1200*A*a^3*b*d*x*tan(d*x)^4*tan(c)^4 + 1800*B*a^2*b^2*d*x*tan(d*x)^4*tan(c)^4 + 1200*A*a*b^3*d*x*tan(d*x)^4*tan(c)^4 - 300*B*b^4*d*x*tan(d*x)^4*tan(c)^4 - 120*B*a^3*b*tan(d*x)^5*tan(c)^5 - 180*A*a^2*b^2*tan(d*x)^5*tan(c)^5 + 180*B*a*b^3*tan(d*x)^5*tan(c)^5 + 45*A*b^4*tan(d*x)^5*tan(c)^5 - 150*A*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 600*B*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 900*A*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 600*B*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 150*A*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 60*B*a^4*tan(d*x)^5*tan(c)^4 + 240*A*a^3*b*tan(d*x)^5*tan(c)^4 - 360*B*a^2*b^2*tan(d*x)^5*tan(c)^4 - 240*A*a*b^3*tan(d*x)^5*tan(c)^4 + 60*B*b^4*tan(d*x)^5*tan(c)^4 + 60*B*a^4*tan(d*x)^4*tan(c)^5 + 240*A*a^3*b*tan(d*x)^4*tan(c)^5 - 360*B*a^2*b^2*tan(d*x)^4*tan(c)^5 - 240*A*a*b^3*tan(d*x)^4*tan(c)^5 + 60*B*b^4*tan(d*x)^4*tan(c)^5 + 600*B*a^4*d*x*tan(d*x)^3*tan(c)^3 + 2400*A*a^3*b*d*x*tan(d*x)^3*tan(c)^3 - 3600*B*a^2*b^2*d*x*tan(d*x)^3*tan(c)^3 - 2400*A*a*b^3*d*x*tan(d*x)^3*tan(c)^3 + 600*B*b^4*d*x*tan(d*x)^3*tan(c)^3 - 120*B*a^3*b*tan(d*x)^5*tan(c)^3 - 180*A*a^2*b^2*tan(d*x)^5*tan(c)^3 + 120*B*a*b^3*tan(d*x)^5*tan(c)^3 + 30*A*b^4*tan(d*x)^5*tan(c)^3 + 360*B*a^3*b*tan(d*x)^4*tan(c)^4 + 540*A*a^2*b^2*tan(d*x)^4*tan(c)^4 - 660*B*a*b^3*tan(d*x)^4*tan(c)^4 - 165*A*b^4*tan(d*x)^4*tan(c)^4 - 120*B*a^3*b*tan(d*x)^3*tan(c)^5 - 180*A*a^2*b^2*tan(d*x)^3*tan(c)^5 + 120*B*a*b^3*tan(d*x)^3*tan(c)^5 + 30*A*b^4*tan(d*x)^3*tan(c)^5 + 120*B*a^2*b^2*tan(d*x)^5*tan(c)^2 + 80*A*a*b^3*tan(d*x)^5*tan(c)^2 - 20*B*b^4*tan(d*x)^5*tan(c)^2 + 300*A*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 1200*B*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 1800*A*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 1200*B*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 300*A*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 240*B*a^4*tan(d*x)^4*tan(c)^3 - 960*A*a^3*b*tan(d*x)^4*tan(c)^3 + 1800*B*a^2*b^2*tan(d*x)^4*tan(c)^3 + 1200*A*a*b^3*tan(d*x)^4*tan(c)^3 - 300*B*b^4*tan(d*x)^4*tan(c)^3 - 240*B*a^4*tan(d*x)^3*tan(c)^4 - 960*A*a^3*b*tan(d*x)^3*tan(c)^4 + 1800*B*a^2*b^2*tan(d*x)^3*tan(c)^4 + 1200*A*a*b^3*tan(d*x)^3*tan(c)^4 - 300*B*b^4*tan(d*x)^3*tan(c)^4 + 120*B*a^2*b^2*tan(d*x)^2*tan(c)^5 + 80*A*a*b^3*tan(d*x)^2*tan(c)^5 - 20*B*b^4*tan(d*x)^2*tan(c)^5 - 60*B*a*b^3*tan(d*x)^5*tan(c) - 15*A*b^4*tan(d*x)^5*tan(c) - 600*B*a^4*d*x*tan(d*x)^2*tan(c)^2 - 2400*A*a^3*b*d*x*tan(d*x)^2*tan(c)^2 + 3600*B*a^2*b^2*d*x*tan(d*x)^2*tan(c)^2 + 2400*A*a*b^3*d*x*tan(d*x)^2*tan(c)^2 - 600*B*b^4*d*x*tan(d*x)^2*tan(c)^2 + 360*B*a^3*b*tan(d*x)^4*tan(c)^2 + 540*A*a^2*b^2*tan(d*x)^4*tan(c)^2 - 600*B*a*b^3*tan(d*x)^4*tan(c)^2 - 150*A*b^4*tan(d*x)^4*tan(c)^2 - 480*B*a^3*b*tan(d*x)^3*tan(c)^3 - 720*A*a^2*b^2*tan(d*x)^3*tan(c)^3 + 720*B*a*b^3*tan(d*x)^3*tan(c)^3 + 180*A*b^4*tan(d*x)^3*tan(c)^3 + 360*B*a^3*b*tan(d*x)^2*tan(c)^4 + 540*A*a^2*b^2*tan(d*x)^2*tan(c)^4 - 600*B*a*b^3*tan(d*x)^2*tan(c)^4 - 150*A*b^4*tan(d*x)^2*tan(c)^4 - 60*B*a*b^3*tan(d*x)*tan(c)^5 - 15*A*b^4*tan(d*x)*tan(c)^5 + 12*B*b^4*tan(d*x)^5 - 240*B*a^2*b^2*tan(d*x)^4*tan(c) - 160*A*a*b^3*tan(d*x)^4*tan(c) + 100*B*b^4*tan(d*x)^4*tan(c) - 300*A*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 1200*B*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 1800*A*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 1200*B*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 300*A*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 360*B*a^4*tan(d*x)^3*tan(c)^2 + 1440*A*a^3*b*tan(d*x)^3*tan(c)^2 - 2880*B*a^2*b^2*tan(d*x)^3*tan(c)^2 - 1920*A*a*b^3*tan(d*x)^3*tan(c)^2 + 600*B*b^4*tan(d*x)^3*tan(c)^2 + 360*B*a^4*tan(d*x)^2*tan(c)^3 + 1440*A*a^3*b*tan(d*x)^2*tan(c)^3 - 2880*B*a^2*b^2*tan(d*x)^2*tan(c)^3 - 1920*A*a*b^3*tan(d*x)^2*tan(c)^3 + 600*B*b^4*tan(d*x)^2*tan(c)^3 - 240*B*a^2*b^2*tan(d*x)*tan(c)^4 - 160*A*a*b^3*tan(d*x)*tan(c)^4 + 100*B*b^4*tan(d*x)*tan(c)^4 + 12*B*b^4*tan(c)^5 + 60*B*a*b^3*tan(d*x)^4 + 15*A*b^4*tan(d*x)^4 + 300*B*a^4*d*x*tan(d*x)*tan(c) + 1200*A*a^3*b*d*x*tan(d*x)*tan(c) - 1800*B*a^2*b^2*d*x*tan(d*x)*tan(c) - 1200*A*a*b^3*d*x*tan(d*x)*tan(c) + 300*B*b^4*d*x*tan(d*x)*tan(c) - 360*B*a^3*b*tan(d*x)^3*tan(c) - 540*A*a^2*b^2*tan(d*x)^3*tan(c) + 600*B*a*b^3*tan(d*x)^3*tan(c) + 150*A*b^4*tan(d*x)^3*tan(c) + 480*B*a^3*b*tan(d*x)^2*tan(c)^2 + 720*A*a^2*b^2*tan(d*x)^2*tan(c)^2 - 720*B*a*b^3*tan(d*x)^2*tan(c)^2 - 180*A*b^4*tan(d*x)^2*tan(c)^2 - 360*B*a^3*b*tan(d*x)*tan(c)^3 - 540*A*a^2*b^2*tan(d*x)*tan(c)^3 + 600*B*a*b^3*tan(d*x)*tan(c)^3 + 150*A*b^4*tan(d*x)*tan(c)^3 + 60*B*a*b^3*tan(c)^4 + 15*A*b^4*tan(c)^4 + 120*B*a^2*b^2*tan(d*x)^3 + 80*A*a*b^3*tan(d*x)^3 - 20*B*b^4*tan(d*x)^3 + 150*A*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 600*B*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 900*A*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 600*B*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 150*A*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 240*B*a^4*tan(d*x)^2*tan(c) - 960*A*a^3*b*tan(d*x)^2*tan(c) + 1800*B*a^2*b^2*tan(d*x)^2*tan(c) + 1200*A*a*b^3*tan(d*x)^2*tan(c) - 300*B*b^4*tan(d*x)^2*tan(c) - 240*B*a^4*tan(d*x)*tan(c)^2 - 960*A*a^3*b*tan(d*x)*tan(c)^2 + 1800*B*a^2*b^2*tan(d*x)*tan(c)^2 + 1200*A*a*b^3*tan(d*x)*tan(c)^2 - 300*B*b^4*tan(d*x)*tan(c)^2 + 120*B*a^2*b^2*tan(c)^3 + 80*A*a*b^3*tan(c)^3 - 20*B*b^4*tan(c)^3 - 60*B*a^4*d*x - 240*A*a^3*b*d*x + 360*B*a^2*b^2*d*x + 240*A*a*b^3*d*x - 60*B*b^4*d*x + 120*B*a^3*b*tan(d*x)^2 + 180*A*a^2*b^2*tan(d*x)^2 - 120*B*a*b^3*tan(d*x)^2 - 30*A*b^4*tan(d*x)^2 - 360*B*a^3*b*tan(d*x)*tan(c) - 540*A*a^2*b^2*tan(d*x)*tan(c) + 660*B*a*b^3*tan(d*x)*tan(c) + 165*A*b^4*tan(d*x)*tan(c) + 120*B*a^3*b*tan(c)^2 + 180*A*a^2*b^2*tan(c)^2 - 120*B*a*b^3*tan(c)^2 - 30*A*b^4*tan(c)^2 - 30*A*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 120*B*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 180*A*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 120*B*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 30*A*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 60*B*a^4*tan(d*x) + 240*A*a^3*b*tan(d*x) - 360*B*a^2*b^2*tan(d*x) - 240*A*a*b^3*tan(d*x) + 60*B*b^4*tan(d*x) + 60*B*a^4*tan(c) + 240*A*a^3*b*tan(c) - 360*B*a^2*b^2*tan(c) - 240*A*a*b^3*tan(c) + 60*B*b^4*tan(c) + 120*B*a^3*b + 180*A*a^2*b^2 - 180*B*a*b^3 - 45*A*b^4)/(d*tan(d*x)^5*tan(c)^5 - 5*d*tan(d*x)^4*tan(c)^4 + 10*d*tan(d*x)^3*tan(c)^3 - 10*d*tan(d*x)^2*tan(c)^2 + 5*d*tan(d*x)*tan(c) - d)","B",0
259,1,3383,0,5.409081," ","integrate((a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{12 \, A a^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 48 \, B a^{3} b d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 72 \, A a^{2} b^{2} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 48 \, B a b^{3} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 12 \, A b^{4} d x \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 6 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 24 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 36 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 24 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 6 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 48 \, A a^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 192 \, B a^{3} b d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 288 \, A a^{2} b^{2} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 192 \, B a b^{3} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 48 \, A b^{4} d x \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 36 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 24 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 9 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{4} + 24 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 96 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 144 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 96 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 24 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 48 \, B a^{3} b \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 72 \, A a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 48 \, B a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} + 12 \, A b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{3} - 48 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{4} - 72 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 48 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 12 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{4} + 72 \, A a^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 288 \, B a^{3} b d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 432 \, A a^{2} b^{2} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 288 \, B a b^{3} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 72 \, A b^{4} d x \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 36 \, B a^{2} b^{2} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} + 24 \, A a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 6 \, B b^{4} \tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 72 \, B a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} - 48 \, A a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 24 \, B b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 36 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} + 24 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 6 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{4} - 16 \, B a b^{3} \tan\left(d x\right)^{4} \tan\left(c\right) - 4 \, A b^{4} \tan\left(d x\right)^{4} \tan\left(c\right) - 36 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 144 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 216 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 144 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 36 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 144 \, B a^{3} b \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 216 \, A a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 192 \, B a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} - 48 \, A b^{4} \tan\left(d x\right)^{3} \tan\left(c\right)^{2} + 144 \, B a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right)^{3} + 216 \, A a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 192 \, B a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 48 \, A b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{3} - 16 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right)^{4} - 4 \, A b^{4} \tan\left(d x\right) \tan\left(c\right)^{4} + 3 \, B b^{4} \tan\left(d x\right)^{4} - 48 \, A a^{4} d x \tan\left(d x\right) \tan\left(c\right) + 192 \, B a^{3} b d x \tan\left(d x\right) \tan\left(c\right) + 288 \, A a^{2} b^{2} d x \tan\left(d x\right) \tan\left(c\right) - 192 \, B a b^{3} d x \tan\left(d x\right) \tan\left(c\right) - 48 \, A b^{4} d x \tan\left(d x\right) \tan\left(c\right) - 72 \, B a^{2} b^{2} \tan\left(d x\right)^{3} \tan\left(c\right) - 48 \, A a b^{3} \tan\left(d x\right)^{3} \tan\left(c\right) + 24 \, B b^{4} \tan\left(d x\right)^{3} \tan\left(c\right) + 72 \, B a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + 48 \, A a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 12 \, B b^{4} \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 72 \, B a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{3} - 48 \, A a b^{3} \tan\left(d x\right) \tan\left(c\right)^{3} + 24 \, B b^{4} \tan\left(d x\right) \tan\left(c\right)^{3} + 3 \, B b^{4} \tan\left(c\right)^{4} + 16 \, B a b^{3} \tan\left(d x\right)^{3} + 4 \, A b^{4} \tan\left(d x\right)^{3} + 24 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 96 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 144 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 96 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) + 24 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) \tan\left(d x\right) \tan\left(c\right) - 144 \, B a^{3} b \tan\left(d x\right)^{2} \tan\left(c\right) - 216 \, A a^{2} b^{2} \tan\left(d x\right)^{2} \tan\left(c\right) + 192 \, B a b^{3} \tan\left(d x\right)^{2} \tan\left(c\right) + 48 \, A b^{4} \tan\left(d x\right)^{2} \tan\left(c\right) - 144 \, B a^{3} b \tan\left(d x\right) \tan\left(c\right)^{2} - 216 \, A a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right)^{2} + 192 \, B a b^{3} \tan\left(d x\right) \tan\left(c\right)^{2} + 48 \, A b^{4} \tan\left(d x\right) \tan\left(c\right)^{2} + 16 \, B a b^{3} \tan\left(c\right)^{3} + 4 \, A b^{4} \tan\left(c\right)^{3} + 12 \, A a^{4} d x - 48 \, B a^{3} b d x - 72 \, A a^{2} b^{2} d x + 48 \, B a b^{3} d x + 12 \, A b^{4} d x + 36 \, B a^{2} b^{2} \tan\left(d x\right)^{2} + 24 \, A a b^{3} \tan\left(d x\right)^{2} - 6 \, B b^{4} \tan\left(d x\right)^{2} - 72 \, B a^{2} b^{2} \tan\left(d x\right) \tan\left(c\right) - 48 \, A a b^{3} \tan\left(d x\right) \tan\left(c\right) + 24 \, B b^{4} \tan\left(d x\right) \tan\left(c\right) + 36 \, B a^{2} b^{2} \tan\left(c\right)^{2} + 24 \, A a b^{3} \tan\left(c\right)^{2} - 6 \, B b^{4} \tan\left(c\right)^{2} - 6 \, B a^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 24 \, A a^{3} b \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 36 \, B a^{2} b^{2} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 24 \, A a b^{3} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) - 6 \, B b^{4} \log\left(\frac{4 \, {\left(\tan\left(d x\right)^{4} \tan\left(c\right)^{2} - 2 \, \tan\left(d x\right)^{3} \tan\left(c\right) + \tan\left(d x\right)^{2} \tan\left(c\right)^{2} + \tan\left(d x\right)^{2} - 2 \, \tan\left(d x\right) \tan\left(c\right) + 1\right)}}{\tan\left(c\right)^{2} + 1}\right) + 48 \, B a^{3} b \tan\left(d x\right) + 72 \, A a^{2} b^{2} \tan\left(d x\right) - 48 \, B a b^{3} \tan\left(d x\right) - 12 \, A b^{4} \tan\left(d x\right) + 48 \, B a^{3} b \tan\left(c\right) + 72 \, A a^{2} b^{2} \tan\left(c\right) - 48 \, B a b^{3} \tan\left(c\right) - 12 \, A b^{4} \tan\left(c\right) + 36 \, B a^{2} b^{2} + 24 \, A a b^{3} - 9 \, B b^{4}}{12 \, {\left(d \tan\left(d x\right)^{4} \tan\left(c\right)^{4} - 4 \, d \tan\left(d x\right)^{3} \tan\left(c\right)^{3} + 6 \, d \tan\left(d x\right)^{2} \tan\left(c\right)^{2} - 4 \, d \tan\left(d x\right) \tan\left(c\right) + d\right)}}"," ",0,"1/12*(12*A*a^4*d*x*tan(d*x)^4*tan(c)^4 - 48*B*a^3*b*d*x*tan(d*x)^4*tan(c)^4 - 72*A*a^2*b^2*d*x*tan(d*x)^4*tan(c)^4 + 48*B*a*b^3*d*x*tan(d*x)^4*tan(c)^4 + 12*A*b^4*d*x*tan(d*x)^4*tan(c)^4 - 6*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 24*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 36*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 + 24*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 6*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^4*tan(c)^4 - 48*A*a^4*d*x*tan(d*x)^3*tan(c)^3 + 192*B*a^3*b*d*x*tan(d*x)^3*tan(c)^3 + 288*A*a^2*b^2*d*x*tan(d*x)^3*tan(c)^3 - 192*B*a*b^3*d*x*tan(d*x)^3*tan(c)^3 - 48*A*b^4*d*x*tan(d*x)^3*tan(c)^3 + 36*B*a^2*b^2*tan(d*x)^4*tan(c)^4 + 24*A*a*b^3*tan(d*x)^4*tan(c)^4 - 9*B*b^4*tan(d*x)^4*tan(c)^4 + 24*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 96*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 144*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 96*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 + 24*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^3*tan(c)^3 - 48*B*a^3*b*tan(d*x)^4*tan(c)^3 - 72*A*a^2*b^2*tan(d*x)^4*tan(c)^3 + 48*B*a*b^3*tan(d*x)^4*tan(c)^3 + 12*A*b^4*tan(d*x)^4*tan(c)^3 - 48*B*a^3*b*tan(d*x)^3*tan(c)^4 - 72*A*a^2*b^2*tan(d*x)^3*tan(c)^4 + 48*B*a*b^3*tan(d*x)^3*tan(c)^4 + 12*A*b^4*tan(d*x)^3*tan(c)^4 + 72*A*a^4*d*x*tan(d*x)^2*tan(c)^2 - 288*B*a^3*b*d*x*tan(d*x)^2*tan(c)^2 - 432*A*a^2*b^2*d*x*tan(d*x)^2*tan(c)^2 + 288*B*a*b^3*d*x*tan(d*x)^2*tan(c)^2 + 72*A*b^4*d*x*tan(d*x)^2*tan(c)^2 + 36*B*a^2*b^2*tan(d*x)^4*tan(c)^2 + 24*A*a*b^3*tan(d*x)^4*tan(c)^2 - 6*B*b^4*tan(d*x)^4*tan(c)^2 - 72*B*a^2*b^2*tan(d*x)^3*tan(c)^3 - 48*A*a*b^3*tan(d*x)^3*tan(c)^3 + 24*B*b^4*tan(d*x)^3*tan(c)^3 + 36*B*a^2*b^2*tan(d*x)^2*tan(c)^4 + 24*A*a*b^3*tan(d*x)^2*tan(c)^4 - 6*B*b^4*tan(d*x)^2*tan(c)^4 - 16*B*a*b^3*tan(d*x)^4*tan(c) - 4*A*b^4*tan(d*x)^4*tan(c) - 36*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 144*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 216*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 144*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 - 36*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)^2*tan(c)^2 + 144*B*a^3*b*tan(d*x)^3*tan(c)^2 + 216*A*a^2*b^2*tan(d*x)^3*tan(c)^2 - 192*B*a*b^3*tan(d*x)^3*tan(c)^2 - 48*A*b^4*tan(d*x)^3*tan(c)^2 + 144*B*a^3*b*tan(d*x)^2*tan(c)^3 + 216*A*a^2*b^2*tan(d*x)^2*tan(c)^3 - 192*B*a*b^3*tan(d*x)^2*tan(c)^3 - 48*A*b^4*tan(d*x)^2*tan(c)^3 - 16*B*a*b^3*tan(d*x)*tan(c)^4 - 4*A*b^4*tan(d*x)*tan(c)^4 + 3*B*b^4*tan(d*x)^4 - 48*A*a^4*d*x*tan(d*x)*tan(c) + 192*B*a^3*b*d*x*tan(d*x)*tan(c) + 288*A*a^2*b^2*d*x*tan(d*x)*tan(c) - 192*B*a*b^3*d*x*tan(d*x)*tan(c) - 48*A*b^4*d*x*tan(d*x)*tan(c) - 72*B*a^2*b^2*tan(d*x)^3*tan(c) - 48*A*a*b^3*tan(d*x)^3*tan(c) + 24*B*b^4*tan(d*x)^3*tan(c) + 72*B*a^2*b^2*tan(d*x)^2*tan(c)^2 + 48*A*a*b^3*tan(d*x)^2*tan(c)^2 - 12*B*b^4*tan(d*x)^2*tan(c)^2 - 72*B*a^2*b^2*tan(d*x)*tan(c)^3 - 48*A*a*b^3*tan(d*x)*tan(c)^3 + 24*B*b^4*tan(d*x)*tan(c)^3 + 3*B*b^4*tan(c)^4 + 16*B*a*b^3*tan(d*x)^3 + 4*A*b^4*tan(d*x)^3 + 24*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 96*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 144*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 96*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) + 24*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1))*tan(d*x)*tan(c) - 144*B*a^3*b*tan(d*x)^2*tan(c) - 216*A*a^2*b^2*tan(d*x)^2*tan(c) + 192*B*a*b^3*tan(d*x)^2*tan(c) + 48*A*b^4*tan(d*x)^2*tan(c) - 144*B*a^3*b*tan(d*x)*tan(c)^2 - 216*A*a^2*b^2*tan(d*x)*tan(c)^2 + 192*B*a*b^3*tan(d*x)*tan(c)^2 + 48*A*b^4*tan(d*x)*tan(c)^2 + 16*B*a*b^3*tan(c)^3 + 4*A*b^4*tan(c)^3 + 12*A*a^4*d*x - 48*B*a^3*b*d*x - 72*A*a^2*b^2*d*x + 48*B*a*b^3*d*x + 12*A*b^4*d*x + 36*B*a^2*b^2*tan(d*x)^2 + 24*A*a*b^3*tan(d*x)^2 - 6*B*b^4*tan(d*x)^2 - 72*B*a^2*b^2*tan(d*x)*tan(c) - 48*A*a*b^3*tan(d*x)*tan(c) + 24*B*b^4*tan(d*x)*tan(c) + 36*B*a^2*b^2*tan(c)^2 + 24*A*a*b^3*tan(c)^2 - 6*B*b^4*tan(c)^2 - 6*B*a^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 24*A*a^3*b*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 36*B*a^2*b^2*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 24*A*a*b^3*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) - 6*B*b^4*log(4*(tan(d*x)^4*tan(c)^2 - 2*tan(d*x)^3*tan(c) + tan(d*x)^2*tan(c)^2 + tan(d*x)^2 - 2*tan(d*x)*tan(c) + 1)/(tan(c)^2 + 1)) + 48*B*a^3*b*tan(d*x) + 72*A*a^2*b^2*tan(d*x) - 48*B*a*b^3*tan(d*x) - 12*A*b^4*tan(d*x) + 48*B*a^3*b*tan(c) + 72*A*a^2*b^2*tan(c) - 48*B*a*b^3*tan(c) - 12*A*b^4*tan(c) + 36*B*a^2*b^2 + 24*A*a*b^3 - 9*B*b^4)/(d*tan(d*x)^4*tan(c)^4 - 4*d*tan(d*x)^3*tan(c)^3 + 6*d*tan(d*x)^2*tan(c)^2 - 4*d*tan(d*x)*tan(c) + d)","B",0
260,1,191,0,3.131401," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, B b^{4} \tan\left(d x + c\right)^{3} + 12 \, B a b^{3} \tan\left(d x + c\right)^{2} + 3 \, A b^{4} \tan\left(d x + c\right)^{2} + 6 \, A a^{4} \log\left({\left| \tan\left(d x + c\right) \right|}\right) + 36 \, B a^{2} b^{2} \tan\left(d x + c\right) + 24 \, A a b^{3} \tan\left(d x + c\right) - 6 \, B b^{4} \tan\left(d x + c\right) + 6 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)} - 3 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{6 \, d}"," ",0,"1/6*(2*B*b^4*tan(d*x + c)^3 + 12*B*a*b^3*tan(d*x + c)^2 + 3*A*b^4*tan(d*x + c)^2 + 6*A*a^4*log(abs(tan(d*x + c))) + 36*B*a^2*b^2*tan(d*x + c) + 24*A*a*b^3*tan(d*x + c) - 6*B*b^4*tan(d*x + c) + 6*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*(d*x + c) - 3*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*log(tan(d*x + c)^2 + 1))/d","A",0
261,1,195,0,4.068887," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{B b^{4} \tan\left(d x + c\right)^{2} + 8 \, B a b^{3} \tan\left(d x + c\right) + 2 \, A b^{4} \tan\left(d x + c\right) - 2 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} {\left(d x + c\right)} - {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right) + 2 \, {\left(B a^{4} + 4 \, A a^{3} b\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right) - \frac{2 \, {\left(B a^{4} \tan\left(d x + c\right) + 4 \, A a^{3} b \tan\left(d x + c\right) + A a^{4}\right)}}{\tan\left(d x + c\right)}}{2 \, d}"," ",0,"1/2*(B*b^4*tan(d*x + c)^2 + 8*B*a*b^3*tan(d*x + c) + 2*A*b^4*tan(d*x + c) - 2*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*(d*x + c) - (B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*log(tan(d*x + c)^2 + 1) + 2*(B*a^4 + 4*A*a^3*b)*log(abs(tan(d*x + c))) - 2*(B*a^4*tan(d*x + c) + 4*A*a^3*b*tan(d*x + c) + A*a^4)/tan(d*x + c))/d","A",0
262,1,224,0,5.160009," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, B b^{4} \tan\left(d x + c\right) - 2 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)} + {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right) - 2 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right) + \frac{3 \, A a^{4} \tan\left(d x + c\right)^{2} - 12 \, B a^{3} b \tan\left(d x + c\right)^{2} - 18 \, A a^{2} b^{2} \tan\left(d x + c\right)^{2} - 2 \, B a^{4} \tan\left(d x + c\right) - 8 \, A a^{3} b \tan\left(d x + c\right) - A a^{4}}{\tan\left(d x + c\right)^{2}}}{2 \, d}"," ",0,"1/2*(2*B*b^4*tan(d*x + c) - 2*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*(d*x + c) + (A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*log(tan(d*x + c)^2 + 1) - 2*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2)*log(abs(tan(d*x + c))) + (3*A*a^4*tan(d*x + c)^2 - 12*B*a^3*b*tan(d*x + c)^2 - 18*A*a^2*b^2*tan(d*x + c)^2 - 2*B*a^4*tan(d*x + c) - 8*A*a^3*b*tan(d*x + c) - A*a^4)/tan(d*x + c)^2)/d","A",0
263,1,281,0,6.109650," ","integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} {\left(d x + c\right)} + 3 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right) - 6 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right) + \frac{11 \, B a^{4} \tan\left(d x + c\right)^{3} + 44 \, A a^{3} b \tan\left(d x + c\right)^{3} - 66 \, B a^{2} b^{2} \tan\left(d x + c\right)^{3} - 44 \, A a b^{3} \tan\left(d x + c\right)^{3} + 6 \, A a^{4} \tan\left(d x + c\right)^{2} - 24 \, B a^{3} b \tan\left(d x + c\right)^{2} - 36 \, A a^{2} b^{2} \tan\left(d x + c\right)^{2} - 3 \, B a^{4} \tan\left(d x + c\right) - 12 \, A a^{3} b \tan\left(d x + c\right) - 2 \, A a^{4}}{\tan\left(d x + c\right)^{3}}}{6 \, d}"," ",0,"1/6*(6*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*(d*x + c) + 3*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*log(tan(d*x + c)^2 + 1) - 6*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3)*log(abs(tan(d*x + c))) + (11*B*a^4*tan(d*x + c)^3 + 44*A*a^3*b*tan(d*x + c)^3 - 66*B*a^2*b^2*tan(d*x + c)^3 - 44*A*a*b^3*tan(d*x + c)^3 + 6*A*a^4*tan(d*x + c)^2 - 24*B*a^3*b*tan(d*x + c)^2 - 36*A*a^2*b^2*tan(d*x + c)^2 - 3*B*a^4*tan(d*x + c) - 12*A*a^3*b*tan(d*x + c) - 2*A*a^4)/tan(d*x + c)^3)/d","A",0
264,1,584,0,7.883049," ","integrate(cot(d*x+c)^5*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{3 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 8 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 32 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 96 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 144 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 120 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 480 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 576 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 384 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 192 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)} + 192 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) - 192 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) + \frac{400 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 1600 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 2400 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 1600 \, B a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 400 \, A b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 120 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 480 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 576 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 384 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 36 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 96 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 144 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 8 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 32 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 3 \, A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4}}}{192 \, d}"," ",0,"-1/192*(3*A*a^4*tan(1/2*d*x + 1/2*c)^4 - 8*B*a^4*tan(1/2*d*x + 1/2*c)^3 - 32*A*a^3*b*tan(1/2*d*x + 1/2*c)^3 - 36*A*a^4*tan(1/2*d*x + 1/2*c)^2 + 96*B*a^3*b*tan(1/2*d*x + 1/2*c)^2 + 144*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^2 + 120*B*a^4*tan(1/2*d*x + 1/2*c) + 480*A*a^3*b*tan(1/2*d*x + 1/2*c) - 576*B*a^2*b^2*tan(1/2*d*x + 1/2*c) - 384*A*a*b^3*tan(1/2*d*x + 1/2*c) - 192*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*(d*x + c) + 192*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*log(tan(1/2*d*x + 1/2*c)^2 + 1) - 192*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*log(abs(tan(1/2*d*x + 1/2*c))) + (400*A*a^4*tan(1/2*d*x + 1/2*c)^4 - 1600*B*a^3*b*tan(1/2*d*x + 1/2*c)^4 - 2400*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^4 + 1600*B*a*b^3*tan(1/2*d*x + 1/2*c)^4 + 400*A*b^4*tan(1/2*d*x + 1/2*c)^4 - 120*B*a^4*tan(1/2*d*x + 1/2*c)^3 - 480*A*a^3*b*tan(1/2*d*x + 1/2*c)^3 + 576*B*a^2*b^2*tan(1/2*d*x + 1/2*c)^3 + 384*A*a*b^3*tan(1/2*d*x + 1/2*c)^3 - 36*A*a^4*tan(1/2*d*x + 1/2*c)^2 + 96*B*a^3*b*tan(1/2*d*x + 1/2*c)^2 + 144*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^2 + 8*B*a^4*tan(1/2*d*x + 1/2*c) + 32*A*a^3*b*tan(1/2*d*x + 1/2*c) + 3*A*a^4)/tan(1/2*d*x + 1/2*c)^4)/d","B",0
265,1,763,0,9.476439," ","integrate(cot(d*x+c)^6*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\frac{6 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 15 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 60 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 70 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 160 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 240 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 180 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 720 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 720 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 480 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 660 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 2400 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 3600 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1920 \, B a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 480 \, A b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 960 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} {\left(d x + c\right)} - 960 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) + 960 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{2192 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 8768 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 13152 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 8768 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 2192 \, B b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 660 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 2400 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 3600 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 1920 \, B a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 480 \, A b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 180 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 720 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 720 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 480 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 70 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 160 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 240 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 15 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 60 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 6 \, A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5}}}{960 \, d}"," ",0,"1/960*(6*A*a^4*tan(1/2*d*x + 1/2*c)^5 - 15*B*a^4*tan(1/2*d*x + 1/2*c)^4 - 60*A*a^3*b*tan(1/2*d*x + 1/2*c)^4 - 70*A*a^4*tan(1/2*d*x + 1/2*c)^3 + 160*B*a^3*b*tan(1/2*d*x + 1/2*c)^3 + 240*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^3 + 180*B*a^4*tan(1/2*d*x + 1/2*c)^2 + 720*A*a^3*b*tan(1/2*d*x + 1/2*c)^2 - 720*B*a^2*b^2*tan(1/2*d*x + 1/2*c)^2 - 480*A*a*b^3*tan(1/2*d*x + 1/2*c)^2 + 660*A*a^4*tan(1/2*d*x + 1/2*c) - 2400*B*a^3*b*tan(1/2*d*x + 1/2*c) - 3600*A*a^2*b^2*tan(1/2*d*x + 1/2*c) + 1920*B*a*b^3*tan(1/2*d*x + 1/2*c) + 480*A*b^4*tan(1/2*d*x + 1/2*c) - 960*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*(d*x + c) - 960*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*log(tan(1/2*d*x + 1/2*c)^2 + 1) + 960*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*log(abs(tan(1/2*d*x + 1/2*c))) - (2192*B*a^4*tan(1/2*d*x + 1/2*c)^5 + 8768*A*a^3*b*tan(1/2*d*x + 1/2*c)^5 - 13152*B*a^2*b^2*tan(1/2*d*x + 1/2*c)^5 - 8768*A*a*b^3*tan(1/2*d*x + 1/2*c)^5 + 2192*B*b^4*tan(1/2*d*x + 1/2*c)^5 + 660*A*a^4*tan(1/2*d*x + 1/2*c)^4 - 2400*B*a^3*b*tan(1/2*d*x + 1/2*c)^4 - 3600*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^4 + 1920*B*a*b^3*tan(1/2*d*x + 1/2*c)^4 + 480*A*b^4*tan(1/2*d*x + 1/2*c)^4 - 180*B*a^4*tan(1/2*d*x + 1/2*c)^3 - 720*A*a^3*b*tan(1/2*d*x + 1/2*c)^3 + 720*B*a^2*b^2*tan(1/2*d*x + 1/2*c)^3 + 480*A*a*b^3*tan(1/2*d*x + 1/2*c)^3 - 70*A*a^4*tan(1/2*d*x + 1/2*c)^2 + 160*B*a^3*b*tan(1/2*d*x + 1/2*c)^2 + 240*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^2 + 15*B*a^4*tan(1/2*d*x + 1/2*c) + 60*A*a^3*b*tan(1/2*d*x + 1/2*c) + 6*A*a^4)/tan(1/2*d*x + 1/2*c)^5)/d","B",0
266,1,943,0,10.346994," ","integrate(cot(d*x+c)^7*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","-\frac{5 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 12 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 48 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 60 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 120 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 180 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 140 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 560 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 480 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 320 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 435 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1440 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 2160 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 960 \, B a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 240 \, A b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 1320 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 5280 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 7200 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 4800 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 960 \, B b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + 1920 \, {\left(B a^{4} + 4 \, A a^{3} b - 6 \, B a^{2} b^{2} - 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)} - 1920 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} + 1\right) + 1920 \, {\left(A a^{4} - 4 \, B a^{3} b - 6 \, A a^{2} b^{2} + 4 \, B a b^{3} + A b^{4}\right)} \log\left({\left| \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) \right|}\right) - \frac{4704 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 18816 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 28224 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} + 18816 \, B a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} + 4704 \, A b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6} - 1320 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 5280 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 7200 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} + 4800 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 960 \, B b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{5} - 435 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 1440 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 2160 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 960 \, B a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} - 240 \, A b^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{4} + 140 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 560 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 480 \, B a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} - 320 \, A a b^{3} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 60 \, A a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 120 \, B a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 180 \, A a^{2} b^{2} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - 12 \, B a^{4} \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 48 \, A a^{3} b \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) - 5 \, A a^{4}}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{6}}}{1920 \, d}"," ",0,"-1/1920*(5*A*a^4*tan(1/2*d*x + 1/2*c)^6 - 12*B*a^4*tan(1/2*d*x + 1/2*c)^5 - 48*A*a^3*b*tan(1/2*d*x + 1/2*c)^5 - 60*A*a^4*tan(1/2*d*x + 1/2*c)^4 + 120*B*a^3*b*tan(1/2*d*x + 1/2*c)^4 + 180*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^4 + 140*B*a^4*tan(1/2*d*x + 1/2*c)^3 + 560*A*a^3*b*tan(1/2*d*x + 1/2*c)^3 - 480*B*a^2*b^2*tan(1/2*d*x + 1/2*c)^3 - 320*A*a*b^3*tan(1/2*d*x + 1/2*c)^3 + 435*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 1440*B*a^3*b*tan(1/2*d*x + 1/2*c)^2 - 2160*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^2 + 960*B*a*b^3*tan(1/2*d*x + 1/2*c)^2 + 240*A*b^4*tan(1/2*d*x + 1/2*c)^2 - 1320*B*a^4*tan(1/2*d*x + 1/2*c) - 5280*A*a^3*b*tan(1/2*d*x + 1/2*c) + 7200*B*a^2*b^2*tan(1/2*d*x + 1/2*c) + 4800*A*a*b^3*tan(1/2*d*x + 1/2*c) - 960*B*b^4*tan(1/2*d*x + 1/2*c) + 1920*(B*a^4 + 4*A*a^3*b - 6*B*a^2*b^2 - 4*A*a*b^3 + B*b^4)*(d*x + c) - 1920*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*log(tan(1/2*d*x + 1/2*c)^2 + 1) + 1920*(A*a^4 - 4*B*a^3*b - 6*A*a^2*b^2 + 4*B*a*b^3 + A*b^4)*log(abs(tan(1/2*d*x + 1/2*c))) - (4704*A*a^4*tan(1/2*d*x + 1/2*c)^6 - 18816*B*a^3*b*tan(1/2*d*x + 1/2*c)^6 - 28224*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^6 + 18816*B*a*b^3*tan(1/2*d*x + 1/2*c)^6 + 4704*A*b^4*tan(1/2*d*x + 1/2*c)^6 - 1320*B*a^4*tan(1/2*d*x + 1/2*c)^5 - 5280*A*a^3*b*tan(1/2*d*x + 1/2*c)^5 + 7200*B*a^2*b^2*tan(1/2*d*x + 1/2*c)^5 + 4800*A*a*b^3*tan(1/2*d*x + 1/2*c)^5 - 960*B*b^4*tan(1/2*d*x + 1/2*c)^5 - 435*A*a^4*tan(1/2*d*x + 1/2*c)^4 + 1440*B*a^3*b*tan(1/2*d*x + 1/2*c)^4 + 2160*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^4 - 960*B*a*b^3*tan(1/2*d*x + 1/2*c)^4 - 240*A*b^4*tan(1/2*d*x + 1/2*c)^4 + 140*B*a^4*tan(1/2*d*x + 1/2*c)^3 + 560*A*a^3*b*tan(1/2*d*x + 1/2*c)^3 - 480*B*a^2*b^2*tan(1/2*d*x + 1/2*c)^3 - 320*A*a*b^3*tan(1/2*d*x + 1/2*c)^3 + 60*A*a^4*tan(1/2*d*x + 1/2*c)^2 - 120*B*a^3*b*tan(1/2*d*x + 1/2*c)^2 - 180*A*a^2*b^2*tan(1/2*d*x + 1/2*c)^2 - 12*B*a^4*tan(1/2*d*x + 1/2*c) - 48*A*a^3*b*tan(1/2*d*x + 1/2*c) - 5*A*a^4)/tan(1/2*d*x + 1/2*c)^6)/d","B",0
267,1,135,0,0.877823," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(B a - A b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} - \frac{{\left(A a + B b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} + \frac{2 \, {\left(B a^{4} - A a^{3} b\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b^{3} + b^{5}} + \frac{B b \tan\left(d x + c\right)^{2} - 2 \, B a \tan\left(d x + c\right) + 2 \, A b \tan\left(d x + c\right)}{b^{2}}}{2 \, d}"," ",0,"1/2*(2*(B*a - A*b)*(d*x + c)/(a^2 + b^2) - (A*a + B*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) + 2*(B*a^4 - A*a^3*b)*log(abs(b*tan(d*x + c) + a))/(a^2*b^3 + b^5) + (B*b*tan(d*x + c)^2 - 2*B*a*tan(d*x + c) + 2*A*b*tan(d*x + c))/b^2)/d","A",0
268,1,110,0,0.591775," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A a + B b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} + \frac{{\left(B a - A b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} + \frac{2 \, {\left(B a^{3} - A a^{2} b\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b^{2} + b^{4}} - \frac{2 \, B \tan\left(d x + c\right)}{b}}{2 \, d}"," ",0,"-1/2*(2*(A*a + B*b)*(d*x + c)/(a^2 + b^2) + (B*a - A*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) + 2*(B*a^3 - A*a^2*b)*log(abs(b*tan(d*x + c) + a))/(a^2*b^2 + b^4) - 2*B*tan(d*x + c)/b)/d","A",0
269,1,95,0,0.311405," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(B a - A b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} - \frac{{\left(A a + B b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{2 \, {\left(B a^{2} - A a b\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b + b^{3}}}{2 \, d}"," ",0,"-1/2*(2*(B*a - A*b)*(d*x + c)/(a^2 + b^2) - (A*a + B*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 2*(B*a^2 - A*a*b)*log(abs(b*tan(d*x + c) + a))/(a^2*b + b^3))/d","A",0
270,1,94,0,0.285317," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A a + B b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} + \frac{{\left(B a - A b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{2 \, {\left(B a b - A b^{2}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b + b^{3}}}{2 \, d}"," ",0,"1/2*(2*(A*a + B*b)*(d*x + c)/(a^2 + b^2) + (B*a - A*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 2*(B*a*b - A*b^2)*log(abs(b*tan(d*x + c) + a))/(a^2*b + b^3))/d","A",0
271,1,113,0,0.447915," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(B a - A b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} - \frac{{\left(A a + B b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} + \frac{2 \, {\left(B a b^{2} - A b^{3}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{3} b + a b^{3}} + \frac{2 \, A \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a}}{2 \, d}"," ",0,"1/2*(2*(B*a - A*b)*(d*x + c)/(a^2 + b^2) - (A*a + B*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) + 2*(B*a*b^2 - A*b^3)*log(abs(b*tan(d*x + c) + a))/(a^3*b + a*b^3) + 2*A*log(abs(tan(d*x + c)))/a)/d","A",0
272,1,157,0,0.684526," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A a + B b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} + \frac{{\left(B a - A b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} + \frac{2 \, {\left(B a b^{3} - A b^{4}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{4} b + a^{2} b^{3}} - \frac{2 \, {\left(B a - A b\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{2}} + \frac{2 \, {\left(B a \tan\left(d x + c\right) - A b \tan\left(d x + c\right) + A a\right)}}{a^{2} \tan\left(d x + c\right)}}{2 \, d}"," ",0,"-1/2*(2*(A*a + B*b)*(d*x + c)/(a^2 + b^2) + (B*a - A*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) + 2*(B*a*b^3 - A*b^4)*log(abs(b*tan(d*x + c) + a))/(a^4*b + a^2*b^3) - 2*(B*a - A*b)*log(abs(tan(d*x + c)))/a^2 + 2*(B*a*tan(d*x + c) - A*b*tan(d*x + c) + A*a)/(a^2*tan(d*x + c)))/d","A",0
273,1,214,0,0.956137," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(B a - A b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} - \frac{{\left(A a + B b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{2 \, {\left(B a b^{4} - A b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{5} b + a^{3} b^{3}} + \frac{2 \, {\left(A a^{2} + B a b - A b^{2}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{3}} - \frac{3 \, A a^{2} \tan\left(d x + c\right)^{2} + 3 \, B a b \tan\left(d x + c\right)^{2} - 3 \, A b^{2} \tan\left(d x + c\right)^{2} - 2 \, B a^{2} \tan\left(d x + c\right) + 2 \, A a b \tan\left(d x + c\right) - A a^{2}}{a^{3} \tan\left(d x + c\right)^{2}}}{2 \, d}"," ",0,"-1/2*(2*(B*a - A*b)*(d*x + c)/(a^2 + b^2) - (A*a + B*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 2*(B*a*b^4 - A*b^5)*log(abs(b*tan(d*x + c) + a))/(a^5*b + a^3*b^3) + 2*(A*a^2 + B*a*b - A*b^2)*log(abs(tan(d*x + c)))/a^3 - (3*A*a^2*tan(d*x + c)^2 + 3*B*a*b*tan(d*x + c)^2 - 3*A*b^2*tan(d*x + c)^2 - 2*B*a^2*tan(d*x + c) + 2*A*a*b*tan(d*x + c) - A*a^2)/(a^3*tan(d*x + c)^2))/d","A",0
274,1,285,0,1.261759," ","integrate(cot(d*x+c)^4*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{\frac{6 \, {\left(A a + B b\right)} {\left(d x + c\right)}}{a^{2} + b^{2}} + \frac{3 \, {\left(B a - A b\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{6 \, {\left(B a b^{5} - A b^{6}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{6} b + a^{4} b^{3}} - \frac{6 \, {\left(B a^{3} - A a^{2} b - B a b^{2} + A b^{3}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{4}} + \frac{11 \, B a^{3} \tan\left(d x + c\right)^{3} - 11 \, A a^{2} b \tan\left(d x + c\right)^{3} - 11 \, B a b^{2} \tan\left(d x + c\right)^{3} + 11 \, A b^{3} \tan\left(d x + c\right)^{3} + 6 \, A a^{3} \tan\left(d x + c\right)^{2} + 6 \, B a^{2} b \tan\left(d x + c\right)^{2} - 6 \, A a b^{2} \tan\left(d x + c\right)^{2} - 3 \, B a^{3} \tan\left(d x + c\right) + 3 \, A a^{2} b \tan\left(d x + c\right) - 2 \, A a^{3}}{a^{4} \tan\left(d x + c\right)^{3}}}{6 \, d}"," ",0,"1/6*(6*(A*a + B*b)*(d*x + c)/(a^2 + b^2) + 3*(B*a - A*b)*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 6*(B*a*b^5 - A*b^6)*log(abs(b*tan(d*x + c) + a))/(a^6*b + a^4*b^3) - 6*(B*a^3 - A*a^2*b - B*a*b^2 + A*b^3)*log(abs(tan(d*x + c)))/a^4 + (11*B*a^3*tan(d*x + c)^3 - 11*A*a^2*b*tan(d*x + c)^3 - 11*B*a*b^2*tan(d*x + c)^3 + 11*A*b^3*tan(d*x + c)^3 + 6*A*a^3*tan(d*x + c)^2 + 6*B*a^2*b*tan(d*x + c)^2 - 6*A*a*b^2*tan(d*x + c)^2 - 3*B*a^3*tan(d*x + c) + 3*A*a^2*b*tan(d*x + c) - 2*A*a^3)/(a^4*tan(d*x + c)^3))/d","A",0
275,1,290,0,1.027037," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(B a^{2} - 2 \, A a b - B b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(A a^{2} + 2 \, B a b - A b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, {\left(2 \, B a^{5} - A a^{4} b + 4 \, B a^{3} b^{2} - 3 \, A a^{2} b^{3}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}} + \frac{2 \, B \tan\left(d x + c\right)}{b^{2}} + \frac{2 \, {\left(2 \, B a^{5} b \tan\left(d x + c\right) - A a^{4} b^{2} \tan\left(d x + c\right) + 4 \, B a^{3} b^{3} \tan\left(d x + c\right) - 3 \, A a^{2} b^{4} \tan\left(d x + c\right) + B a^{6} + 3 \, B a^{4} b^{2} - 2 \, A a^{3} b^{3}\right)}}{{\left(a^{4} b^{3} + 2 \, a^{2} b^{5} + b^{7}\right)} {\left(b \tan\left(d x + c\right) + a\right)}}}{2 \, d}"," ",0,"1/2*(2*(B*a^2 - 2*A*a*b - B*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) - (A*a^2 + 2*B*a*b - A*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) - 2*(2*B*a^5 - A*a^4*b + 4*B*a^3*b^2 - 3*A*a^2*b^3)*log(abs(b*tan(d*x + c) + a))/(a^4*b^3 + 2*a^2*b^5 + b^7) + 2*B*tan(d*x + c)/b^2 + 2*(2*B*a^5*b*tan(d*x + c) - A*a^4*b^2*tan(d*x + c) + 4*B*a^3*b^3*tan(d*x + c) - 3*A*a^2*b^4*tan(d*x + c) + B*a^6 + 3*B*a^4*b^2 - 2*A*a^3*b^3)/((a^4*b^3 + 2*a^2*b^5 + b^7)*(b*tan(d*x + c) + a)))/d","A",0
276,1,244,0,0.736114," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A a^{2} + 2 \, B a b - A b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(B a^{2} - 2 \, A a b - B b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, {\left(B a^{4} + 3 \, B a^{2} b^{2} - 2 \, A a b^{3}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{4} b^{2} + 2 \, a^{2} b^{4} + b^{6}} + \frac{2 \, {\left(B a^{4} \tan\left(d x + c\right) + 3 \, B a^{2} b^{2} \tan\left(d x + c\right) - 2 \, A a b^{3} \tan\left(d x + c\right) + A a^{4} + 2 \, B a^{3} b - A a^{2} b^{2}\right)}}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} {\left(b \tan\left(d x + c\right) + a\right)}}}{2 \, d}"," ",0,"-1/2*(2*(A*a^2 + 2*B*a*b - A*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) + (B*a^2 - 2*A*a*b - B*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) - 2*(B*a^4 + 3*B*a^2*b^2 - 2*A*a*b^3)*log(abs(b*tan(d*x + c) + a))/(a^4*b^2 + 2*a^2*b^4 + b^6) + 2*(B*a^4*tan(d*x + c) + 3*B*a^2*b^2*tan(d*x + c) - 2*A*a*b^3*tan(d*x + c) + A*a^4 + 2*B*a^3*b - A*a^2*b^2)/((a^4*b + 2*a^2*b^3 + b^5)*(b*tan(d*x + c) + a)))/d","A",0
277,1,241,0,0.440911," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(B a^{2} - 2 \, A a b - B b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(A a^{2} + 2 \, B a b - A b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{2 \, {\left(A a^{2} b + 2 \, B a b^{2} - A b^{3}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{4} b + 2 \, a^{2} b^{3} + b^{5}} - \frac{2 \, {\left(A a^{2} b^{2} \tan\left(d x + c\right) + 2 \, B a b^{3} \tan\left(d x + c\right) - A b^{4} \tan\left(d x + c\right) - B a^{4} + 2 \, A a^{3} b + B a^{2} b^{2}\right)}}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} {\left(b \tan\left(d x + c\right) + a\right)}}}{2 \, d}"," ",0,"-1/2*(2*(B*a^2 - 2*A*a*b - B*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) - (A*a^2 + 2*B*a*b - A*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) + 2*(A*a^2*b + 2*B*a*b^2 - A*b^3)*log(abs(b*tan(d*x + c) + a))/(a^4*b + 2*a^2*b^3 + b^5) - 2*(A*a^2*b^2*tan(d*x + c) + 2*B*a*b^3*tan(d*x + c) - A*b^4*tan(d*x + c) - B*a^4 + 2*A*a^3*b + B*a^2*b^2)/((a^4*b + 2*a^2*b^3 + b^5)*(b*tan(d*x + c) + a)))/d","B",0
278,1,234,0,0.423240," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A a^{2} + 2 \, B a b - A b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(B a^{2} - 2 \, A a b - B b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, {\left(B a^{2} b - 2 \, A a b^{2} - B b^{3}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{4} b + 2 \, a^{2} b^{3} + b^{5}} + \frac{2 \, {\left(B a^{2} b \tan\left(d x + c\right) - 2 \, A a b^{2} \tan\left(d x + c\right) - B b^{3} \tan\left(d x + c\right) + 2 \, B a^{3} - 3 \, A a^{2} b - A b^{3}\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(b \tan\left(d x + c\right) + a\right)}}}{2 \, d}"," ",0,"1/2*(2*(A*a^2 + 2*B*a*b - A*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) + (B*a^2 - 2*A*a*b - B*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) - 2*(B*a^2*b - 2*A*a*b^2 - B*b^3)*log(abs(b*tan(d*x + c) + a))/(a^4*b + 2*a^2*b^3 + b^5) + 2*(B*a^2*b*tan(d*x + c) - 2*A*a*b^2*tan(d*x + c) - B*b^3*tan(d*x + c) + 2*B*a^3 - 3*A*a^2*b - A*b^3)/((a^4 + 2*a^2*b^2 + b^4)*(b*tan(d*x + c) + a)))/d","B",0
279,1,279,0,0.869366," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(B a^{2} - 2 \, A a b - B b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(A a^{2} + 2 \, B a b - A b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{2 \, {\left(2 \, B a^{3} b^{2} - 3 \, A a^{2} b^{3} - A b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{6} b + 2 \, a^{4} b^{3} + a^{2} b^{5}} + \frac{2 \, A \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{2}} - \frac{2 \, {\left(2 \, B a^{3} b^{2} \tan\left(d x + c\right) - 3 \, A a^{2} b^{3} \tan\left(d x + c\right) - A b^{5} \tan\left(d x + c\right) + 3 \, B a^{4} b - 4 \, A a^{3} b^{2} + B a^{2} b^{3} - 2 \, A a b^{4}\right)}}{{\left(a^{6} + 2 \, a^{4} b^{2} + a^{2} b^{4}\right)} {\left(b \tan\left(d x + c\right) + a\right)}}}{2 \, d}"," ",0,"1/2*(2*(B*a^2 - 2*A*a*b - B*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) - (A*a^2 + 2*B*a*b - A*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) + 2*(2*B*a^3*b^2 - 3*A*a^2*b^3 - A*b^5)*log(abs(b*tan(d*x + c) + a))/(a^6*b + 2*a^4*b^3 + a^2*b^5) + 2*A*log(abs(tan(d*x + c)))/a^2 - 2*(2*B*a^3*b^2*tan(d*x + c) - 3*A*a^2*b^3*tan(d*x + c) - A*b^5*tan(d*x + c) + 3*B*a^4*b - 4*A*a^3*b^2 + B*a^2*b^3 - 2*A*a*b^4)/((a^6 + 2*a^4*b^2 + a^2*b^4)*(b*tan(d*x + c) + a)))/d","B",0
280,1,362,0,1.289841," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A a^{2} + 2 \, B a b - A b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(B a^{2} - 2 \, A a b - B b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{2 \, {\left(3 \, B a^{3} b^{3} - 4 \, A a^{2} b^{4} + B a b^{5} - 2 \, A b^{6}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{7} b + 2 \, a^{5} b^{3} + a^{3} b^{5}} + \frac{B a^{4} b \tan\left(d x + c\right)^{2} - 2 \, A a^{3} b^{2} \tan\left(d x + c\right)^{2} - B a^{2} b^{3} \tan\left(d x + c\right)^{2} + B a^{5} \tan\left(d x + c\right) - 3 \, B a^{3} b^{2} \tan\left(d x + c\right) + 6 \, A a^{2} b^{3} \tan\left(d x + c\right) - 2 \, B a b^{4} \tan\left(d x + c\right) + 4 \, A b^{5} \tan\left(d x + c\right) + 2 \, A a^{5} + 4 \, A a^{3} b^{2} + 2 \, A a b^{4}}{{\left(a^{6} + 2 \, a^{4} b^{2} + a^{2} b^{4}\right)} {\left(b \tan\left(d x + c\right)^{2} + a \tan\left(d x + c\right)\right)}} - \frac{2 \, {\left(B a - 2 \, A b\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{3}}}{2 \, d}"," ",0,"-1/2*(2*(A*a^2 + 2*B*a*b - A*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) + (B*a^2 - 2*A*a*b - B*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) + 2*(3*B*a^3*b^3 - 4*A*a^2*b^4 + B*a*b^5 - 2*A*b^6)*log(abs(b*tan(d*x + c) + a))/(a^7*b + 2*a^5*b^3 + a^3*b^5) + (B*a^4*b*tan(d*x + c)^2 - 2*A*a^3*b^2*tan(d*x + c)^2 - B*a^2*b^3*tan(d*x + c)^2 + B*a^5*tan(d*x + c) - 3*B*a^3*b^2*tan(d*x + c) + 6*A*a^2*b^3*tan(d*x + c) - 2*B*a*b^4*tan(d*x + c) + 4*A*b^5*tan(d*x + c) + 2*A*a^5 + 4*A*a^3*b^2 + 2*A*a*b^4)/((a^6 + 2*a^4*b^2 + a^2*b^4)*(b*tan(d*x + c)^2 + a*tan(d*x + c))) - 2*(B*a - 2*A*b)*log(abs(tan(d*x + c)))/a^3)/d","A",0
281,1,402,0,1.707181," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(B a^{2} - 2 \, A a b - B b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{{\left(A a^{2} + 2 \, B a b - A b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, {\left(4 \, B a^{3} b^{4} - 5 \, A a^{2} b^{5} + 2 \, B a b^{6} - 3 \, A b^{7}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{8} b + 2 \, a^{6} b^{3} + a^{4} b^{5}} + \frac{2 \, {\left(4 \, B a^{3} b^{4} \tan\left(d x + c\right) - 5 \, A a^{2} b^{5} \tan\left(d x + c\right) + 2 \, B a b^{6} \tan\left(d x + c\right) - 3 \, A b^{7} \tan\left(d x + c\right) + 5 \, B a^{4} b^{3} - 6 \, A a^{3} b^{4} + 3 \, B a^{2} b^{5} - 4 \, A a b^{6}\right)}}{{\left(a^{8} + 2 \, a^{6} b^{2} + a^{4} b^{4}\right)} {\left(b \tan\left(d x + c\right) + a\right)}} + \frac{2 \, {\left(A a^{2} + 2 \, B a b - 3 \, A b^{2}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{4}} - \frac{3 \, A a^{2} \tan\left(d x + c\right)^{2} + 6 \, B a b \tan\left(d x + c\right)^{2} - 9 \, A b^{2} \tan\left(d x + c\right)^{2} - 2 \, B a^{2} \tan\left(d x + c\right) + 4 \, A a b \tan\left(d x + c\right) - A a^{2}}{a^{4} \tan\left(d x + c\right)^{2}}}{2 \, d}"," ",0,"-1/2*(2*(B*a^2 - 2*A*a*b - B*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) - (A*a^2 + 2*B*a*b - A*b^2)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) - 2*(4*B*a^3*b^4 - 5*A*a^2*b^5 + 2*B*a*b^6 - 3*A*b^7)*log(abs(b*tan(d*x + c) + a))/(a^8*b + 2*a^6*b^3 + a^4*b^5) + 2*(4*B*a^3*b^4*tan(d*x + c) - 5*A*a^2*b^5*tan(d*x + c) + 2*B*a*b^6*tan(d*x + c) - 3*A*b^7*tan(d*x + c) + 5*B*a^4*b^3 - 6*A*a^3*b^4 + 3*B*a^2*b^5 - 4*A*a*b^6)/((a^8 + 2*a^6*b^2 + a^4*b^4)*(b*tan(d*x + c) + a)) + 2*(A*a^2 + 2*B*a*b - 3*A*b^2)*log(abs(tan(d*x + c)))/a^4 - (3*A*a^2*tan(d*x + c)^2 + 6*B*a*b*tan(d*x + c)^2 - 9*A*b^2*tan(d*x + c)^2 - 2*B*a^2*tan(d*x + c) + 4*A*a*b*tan(d*x + c) - A*a^2)/(a^4*tan(d*x + c)^2))/d","A",0
282,1,505,0,1.899345," ","integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{{\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{2 \, {\left(3 \, B a^{7} - A a^{6} b + 9 \, B a^{5} b^{2} - 3 \, A a^{4} b^{3} + 10 \, B a^{3} b^{4} - 6 \, A a^{2} b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{6} b^{4} + 3 \, a^{4} b^{6} + 3 \, a^{2} b^{8} + b^{10}} + \frac{2 \, B \tan\left(d x + c\right)}{b^{3}} + \frac{9 \, B a^{7} b^{2} \tan\left(d x + c\right)^{2} - 3 \, A a^{6} b^{3} \tan\left(d x + c\right)^{2} + 27 \, B a^{5} b^{4} \tan\left(d x + c\right)^{2} - 9 \, A a^{4} b^{5} \tan\left(d x + c\right)^{2} + 30 \, B a^{3} b^{6} \tan\left(d x + c\right)^{2} - 18 \, A a^{2} b^{7} \tan\left(d x + c\right)^{2} + 12 \, B a^{8} b \tan\left(d x + c\right) - 2 \, A a^{7} b^{2} \tan\left(d x + c\right) + 38 \, B a^{6} b^{3} \tan\left(d x + c\right) - 6 \, A a^{5} b^{4} \tan\left(d x + c\right) + 50 \, B a^{4} b^{5} \tan\left(d x + c\right) - 28 \, A a^{3} b^{6} \tan\left(d x + c\right) + 4 \, B a^{9} + 13 \, B a^{7} b^{2} + A a^{6} b^{3} + 21 \, B a^{5} b^{4} - 11 \, A a^{4} b^{5}}{{\left(a^{6} b^{4} + 3 \, a^{4} b^{6} + 3 \, a^{2} b^{8} + b^{10}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}}{2 \, d}"," ",0,"1/2*(2*(A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + (B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 2*(3*B*a^7 - A*a^6*b + 9*B*a^5*b^2 - 3*A*a^4*b^3 + 10*B*a^3*b^4 - 6*A*a^2*b^5)*log(abs(b*tan(d*x + c) + a))/(a^6*b^4 + 3*a^4*b^6 + 3*a^2*b^8 + b^10) + 2*B*tan(d*x + c)/b^3 + (9*B*a^7*b^2*tan(d*x + c)^2 - 3*A*a^6*b^3*tan(d*x + c)^2 + 27*B*a^5*b^4*tan(d*x + c)^2 - 9*A*a^4*b^5*tan(d*x + c)^2 + 30*B*a^3*b^6*tan(d*x + c)^2 - 18*A*a^2*b^7*tan(d*x + c)^2 + 12*B*a^8*b*tan(d*x + c) - 2*A*a^7*b^2*tan(d*x + c) + 38*B*a^6*b^3*tan(d*x + c) - 6*A*a^5*b^4*tan(d*x + c) + 50*B*a^4*b^5*tan(d*x + c) - 28*A*a^3*b^6*tan(d*x + c) + 4*B*a^9 + 13*B*a^7*b^2 + A*a^6*b^3 + 21*B*a^5*b^4 - 11*A*a^4*b^5)/((a^6*b^4 + 3*a^4*b^6 + 3*a^2*b^8 + b^10)*(b*tan(d*x + c) + a)^2))/d","A",0
283,1,458,0,1.355602," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{{\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{2 \, {\left(B a^{6} + 3 \, B a^{4} b^{2} + A a^{3} b^{3} + 6 \, B a^{2} b^{4} - 3 \, A a b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{6} b^{3} + 3 \, a^{4} b^{5} + 3 \, a^{2} b^{7} + b^{9}} - \frac{3 \, B a^{6} b \tan\left(d x + c\right)^{2} + 9 \, B a^{4} b^{3} \tan\left(d x + c\right)^{2} + 3 \, A a^{3} b^{4} \tan\left(d x + c\right)^{2} + 18 \, B a^{2} b^{5} \tan\left(d x + c\right)^{2} - 9 \, A a b^{6} \tan\left(d x + c\right)^{2} + 2 \, B a^{7} \tan\left(d x + c\right) + 2 \, A a^{6} b \tan\left(d x + c\right) + 6 \, B a^{5} b^{2} \tan\left(d x + c\right) + 14 \, A a^{4} b^{3} \tan\left(d x + c\right) + 28 \, B a^{3} b^{4} \tan\left(d x + c\right) - 12 \, A a^{2} b^{5} \tan\left(d x + c\right) + A a^{7} - B a^{6} b + 9 \, A a^{5} b^{2} + 11 \, B a^{4} b^{3} - 4 \, A a^{3} b^{4}}{{\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}}{2 \, d}"," ",0,"1/2*(2*(B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 2*(B*a^6 + 3*B*a^4*b^2 + A*a^3*b^3 + 6*B*a^2*b^4 - 3*A*a*b^5)*log(abs(b*tan(d*x + c) + a))/(a^6*b^3 + 3*a^4*b^5 + 3*a^2*b^7 + b^9) - (3*B*a^6*b*tan(d*x + c)^2 + 9*B*a^4*b^3*tan(d*x + c)^2 + 3*A*a^3*b^4*tan(d*x + c)^2 + 18*B*a^2*b^5*tan(d*x + c)^2 - 9*A*a*b^6*tan(d*x + c)^2 + 2*B*a^7*tan(d*x + c) + 2*A*a^6*b*tan(d*x + c) + 6*B*a^5*b^2*tan(d*x + c) + 14*A*a^4*b^3*tan(d*x + c) + 28*B*a^3*b^4*tan(d*x + c) - 12*A*a^2*b^5*tan(d*x + c) + A*a^7 - B*a^6*b + 9*A*a^5*b^2 + 11*B*a^4*b^3 - 4*A*a^3*b^4)/((a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*(b*tan(d*x + c) + a)^2))/d","A",0
284,1,410,0,1.030016," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{{\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{2 \, {\left(B a^{3} b - 3 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}} + \frac{3 \, B a^{3} b^{4} \tan\left(d x + c\right)^{2} - 9 \, A a^{2} b^{5} \tan\left(d x + c\right)^{2} - 9 \, B a b^{6} \tan\left(d x + c\right)^{2} + 3 \, A b^{7} \tan\left(d x + c\right)^{2} + 2 \, B a^{6} b \tan\left(d x + c\right) + 14 \, B a^{4} b^{3} \tan\left(d x + c\right) - 22 \, A a^{3} b^{4} \tan\left(d x + c\right) - 12 \, B a^{2} b^{5} \tan\left(d x + c\right) + 2 \, A a b^{6} \tan\left(d x + c\right) + B a^{7} + A a^{6} b + 9 \, B a^{5} b^{2} - 11 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4}}{{\left(a^{6} b^{2} + 3 \, a^{4} b^{4} + 3 \, a^{2} b^{6} + b^{8}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}}{2 \, d}"," ",0,"-1/2*(2*(A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + (B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 2*(B*a^3*b - 3*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*log(abs(b*tan(d*x + c) + a))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7) + (3*B*a^3*b^4*tan(d*x + c)^2 - 9*A*a^2*b^5*tan(d*x + c)^2 - 9*B*a*b^6*tan(d*x + c)^2 + 3*A*b^7*tan(d*x + c)^2 + 2*B*a^6*b*tan(d*x + c) + 14*B*a^4*b^3*tan(d*x + c) - 22*A*a^3*b^4*tan(d*x + c) - 12*B*a^2*b^5*tan(d*x + c) + 2*A*a*b^6*tan(d*x + c) + B*a^7 + A*a^6*b + 9*B*a^5*b^2 - 11*A*a^4*b^3 - 4*B*a^3*b^4)/((a^6*b^2 + 3*a^4*b^4 + 3*a^2*b^6 + b^8)*(b*tan(d*x + c) + a)^2))/d","B",0
285,1,410,0,0.722941," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{{\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{2 \, {\left(A a^{3} b + 3 \, B a^{2} b^{2} - 3 \, A a b^{3} - B b^{4}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}} - \frac{3 \, A a^{3} b^{3} \tan\left(d x + c\right)^{2} + 9 \, B a^{2} b^{4} \tan\left(d x + c\right)^{2} - 9 \, A a b^{5} \tan\left(d x + c\right)^{2} - 3 \, B b^{6} \tan\left(d x + c\right)^{2} + 8 \, A a^{4} b^{2} \tan\left(d x + c\right) + 22 \, B a^{3} b^{3} \tan\left(d x + c\right) - 18 \, A a^{2} b^{4} \tan\left(d x + c\right) - 2 \, B a b^{5} \tan\left(d x + c\right) - 2 \, A b^{6} \tan\left(d x + c\right) - B a^{6} + 6 \, A a^{5} b + 11 \, B a^{4} b^{2} - 7 \, A a^{3} b^{3} - A a b^{5}}{{\left(a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}}{2 \, d}"," ",0,"-1/2*(2*(B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 2*(A*a^3*b + 3*B*a^2*b^2 - 3*A*a*b^3 - B*b^4)*log(abs(b*tan(d*x + c) + a))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7) - (3*A*a^3*b^3*tan(d*x + c)^2 + 9*B*a^2*b^4*tan(d*x + c)^2 - 9*A*a*b^5*tan(d*x + c)^2 - 3*B*b^6*tan(d*x + c)^2 + 8*A*a^4*b^2*tan(d*x + c) + 22*B*a^3*b^3*tan(d*x + c) - 18*A*a^2*b^4*tan(d*x + c) - 2*B*a*b^5*tan(d*x + c) - 2*A*b^6*tan(d*x + c) - B*a^6 + 6*A*a^5*b + 11*B*a^4*b^2 - 7*A*a^3*b^3 - A*a*b^5)/((a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7)*(b*tan(d*x + c) + a)^2))/d","B",0
286,1,409,0,0.686930," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{{\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{2 \, {\left(B a^{3} b - 3 \, A a^{2} b^{2} - 3 \, B a b^{3} + A b^{4}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{6} b + 3 \, a^{4} b^{3} + 3 \, a^{2} b^{5} + b^{7}} + \frac{3 \, B a^{3} b^{2} \tan\left(d x + c\right)^{2} - 9 \, A a^{2} b^{3} \tan\left(d x + c\right)^{2} - 9 \, B a b^{4} \tan\left(d x + c\right)^{2} + 3 \, A b^{5} \tan\left(d x + c\right)^{2} + 8 \, B a^{4} b \tan\left(d x + c\right) - 22 \, A a^{3} b^{2} \tan\left(d x + c\right) - 18 \, B a^{2} b^{3} \tan\left(d x + c\right) + 2 \, A a b^{4} \tan\left(d x + c\right) - 2 \, B b^{5} \tan\left(d x + c\right) + 6 \, B a^{5} - 14 \, A a^{4} b - 7 \, B a^{3} b^{2} - 3 \, A a^{2} b^{3} - B a b^{4} - A b^{5}}{{\left(a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}}{2 \, d}"," ",0,"1/2*(2*(A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + (B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 2*(B*a^3*b - 3*A*a^2*b^2 - 3*B*a*b^3 + A*b^4)*log(abs(b*tan(d*x + c) + a))/(a^6*b + 3*a^4*b^3 + 3*a^2*b^5 + b^7) + (3*B*a^3*b^2*tan(d*x + c)^2 - 9*A*a^2*b^3*tan(d*x + c)^2 - 9*B*a*b^4*tan(d*x + c)^2 + 3*A*b^5*tan(d*x + c)^2 + 8*B*a^4*b*tan(d*x + c) - 22*A*a^3*b^2*tan(d*x + c) - 18*B*a^2*b^3*tan(d*x + c) + 2*A*a*b^4*tan(d*x + c) - 2*B*b^5*tan(d*x + c) + 6*B*a^5 - 14*A*a^4*b - 7*B*a^3*b^2 - 3*A*a^2*b^3 - B*a*b^4 - A*b^5)/((a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6)*(b*tan(d*x + c) + a)^2))/d","B",0
287,1,479,0,1.555814," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{{\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{2 \, {\left(3 \, B a^{5} b^{2} - 6 \, A a^{4} b^{3} - B a^{3} b^{4} - 3 \, A a^{2} b^{5} - A b^{7}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{9} b + 3 \, a^{7} b^{3} + 3 \, a^{5} b^{5} + a^{3} b^{7}} + \frac{2 \, A \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{3}} - \frac{9 \, B a^{5} b^{3} \tan\left(d x + c\right)^{2} - 18 \, A a^{4} b^{4} \tan\left(d x + c\right)^{2} - 3 \, B a^{3} b^{5} \tan\left(d x + c\right)^{2} - 9 \, A a^{2} b^{6} \tan\left(d x + c\right)^{2} - 3 \, A b^{8} \tan\left(d x + c\right)^{2} + 22 \, B a^{6} b^{2} \tan\left(d x + c\right) - 42 \, A a^{5} b^{3} \tan\left(d x + c\right) - 2 \, B a^{4} b^{4} \tan\left(d x + c\right) - 26 \, A a^{3} b^{5} \tan\left(d x + c\right) - 8 \, A a b^{7} \tan\left(d x + c\right) + 14 \, B a^{7} b - 25 \, A a^{6} b^{2} + 3 \, B a^{5} b^{3} - 19 \, A a^{4} b^{4} + B a^{3} b^{5} - 6 \, A a^{2} b^{6}}{{\left(a^{9} + 3 \, a^{7} b^{2} + 3 \, a^{5} b^{4} + a^{3} b^{6}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}}{2 \, d}"," ",0,"1/2*(2*(B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - (A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 2*(3*B*a^5*b^2 - 6*A*a^4*b^3 - B*a^3*b^4 - 3*A*a^2*b^5 - A*b^7)*log(abs(b*tan(d*x + c) + a))/(a^9*b + 3*a^7*b^3 + 3*a^5*b^5 + a^3*b^7) + 2*A*log(abs(tan(d*x + c)))/a^3 - (9*B*a^5*b^3*tan(d*x + c)^2 - 18*A*a^4*b^4*tan(d*x + c)^2 - 3*B*a^3*b^5*tan(d*x + c)^2 - 9*A*a^2*b^6*tan(d*x + c)^2 - 3*A*b^8*tan(d*x + c)^2 + 22*B*a^6*b^2*tan(d*x + c) - 42*A*a^5*b^3*tan(d*x + c) - 2*B*a^4*b^4*tan(d*x + c) - 26*A*a^3*b^5*tan(d*x + c) - 8*A*a*b^7*tan(d*x + c) + 14*B*a^7*b - 25*A*a^6*b^2 + 3*B*a^5*b^3 - 19*A*a^4*b^4 + B*a^3*b^5 - 6*A*a^2*b^6)/((a^9 + 3*a^7*b^2 + 3*a^5*b^4 + a^3*b^6)*(b*tan(d*x + c) + a)^2))/d","B",0
288,1,560,0,2.195771," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{{\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} + \frac{2 \, {\left(6 \, B a^{5} b^{3} - 10 \, A a^{4} b^{4} + 3 \, B a^{3} b^{5} - 9 \, A a^{2} b^{6} + B a b^{7} - 3 \, A b^{8}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{10} b + 3 \, a^{8} b^{3} + 3 \, a^{6} b^{5} + a^{4} b^{7}} - \frac{18 \, B a^{5} b^{4} \tan\left(d x + c\right)^{2} - 30 \, A a^{4} b^{5} \tan\left(d x + c\right)^{2} + 9 \, B a^{3} b^{6} \tan\left(d x + c\right)^{2} - 27 \, A a^{2} b^{7} \tan\left(d x + c\right)^{2} + 3 \, B a b^{8} \tan\left(d x + c\right)^{2} - 9 \, A b^{9} \tan\left(d x + c\right)^{2} + 42 \, B a^{6} b^{3} \tan\left(d x + c\right) - 68 \, A a^{5} b^{4} \tan\left(d x + c\right) + 26 \, B a^{4} b^{5} \tan\left(d x + c\right) - 66 \, A a^{3} b^{6} \tan\left(d x + c\right) + 8 \, B a^{2} b^{7} \tan\left(d x + c\right) - 22 \, A a b^{8} \tan\left(d x + c\right) + 25 \, B a^{7} b^{2} - 39 \, A a^{6} b^{3} + 19 \, B a^{5} b^{4} - 41 \, A a^{4} b^{5} + 6 \, B a^{3} b^{6} - 14 \, A a^{2} b^{7}}{{\left(a^{10} + 3 \, a^{8} b^{2} + 3 \, a^{6} b^{4} + a^{4} b^{6}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}} - \frac{2 \, {\left(B a - 3 \, A b\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{4}} + \frac{2 \, {\left(B a \tan\left(d x + c\right) - 3 \, A b \tan\left(d x + c\right) + A a\right)}}{a^{4} \tan\left(d x + c\right)}}{2 \, d}"," ",0,"-1/2*(2*(A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + (B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) + 2*(6*B*a^5*b^3 - 10*A*a^4*b^4 + 3*B*a^3*b^5 - 9*A*a^2*b^6 + B*a*b^7 - 3*A*b^8)*log(abs(b*tan(d*x + c) + a))/(a^10*b + 3*a^8*b^3 + 3*a^6*b^5 + a^4*b^7) - (18*B*a^5*b^4*tan(d*x + c)^2 - 30*A*a^4*b^5*tan(d*x + c)^2 + 9*B*a^3*b^6*tan(d*x + c)^2 - 27*A*a^2*b^7*tan(d*x + c)^2 + 3*B*a*b^8*tan(d*x + c)^2 - 9*A*b^9*tan(d*x + c)^2 + 42*B*a^6*b^3*tan(d*x + c) - 68*A*a^5*b^4*tan(d*x + c) + 26*B*a^4*b^5*tan(d*x + c) - 66*A*a^3*b^6*tan(d*x + c) + 8*B*a^2*b^7*tan(d*x + c) - 22*A*a*b^8*tan(d*x + c) + 25*B*a^7*b^2 - 39*A*a^6*b^3 + 19*B*a^5*b^4 - 41*A*a^4*b^5 + 6*B*a^3*b^6 - 14*A*a^2*b^7)/((a^10 + 3*a^8*b^2 + 3*a^6*b^4 + a^4*b^6)*(b*tan(d*x + c) + a)^2) - 2*(B*a - 3*A*b)*log(abs(tan(d*x + c)))/a^4 + 2*(B*a*tan(d*x + c) - 3*A*b*tan(d*x + c) + A*a)/(a^4*tan(d*x + c)))/d","A",0
289,1,812,0,3.266054," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","-\frac{\frac{4 \, {\left(B a^{3} - 3 \, A a^{2} b - 3 \, B a b^{2} + A b^{3}\right)} {\left(d x + c\right)}}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{2 \, {\left(A a^{3} + 3 \, B a^{2} b - 3 \, A a b^{2} - B b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{6} + 3 \, a^{4} b^{2} + 3 \, a^{2} b^{4} + b^{6}} - \frac{4 \, {\left(10 \, B a^{5} b^{4} - 15 \, A a^{4} b^{5} + 9 \, B a^{3} b^{6} - 17 \, A a^{2} b^{7} + 3 \, B a b^{8} - 6 \, A b^{9}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{11} b + 3 \, a^{9} b^{3} + 3 \, a^{7} b^{5} + a^{5} b^{7}} - \frac{3 \, A a^{7} b^{2} \tan\left(d x + c\right)^{4} + 9 \, B a^{6} b^{3} \tan\left(d x + c\right)^{4} - 9 \, A a^{5} b^{4} \tan\left(d x + c\right)^{4} - 3 \, B a^{4} b^{5} \tan\left(d x + c\right)^{4} + 6 \, A a^{8} b \tan\left(d x + c\right)^{3} + 14 \, B a^{7} b^{2} \tan\left(d x + c\right)^{3} - 6 \, A a^{6} b^{3} \tan\left(d x + c\right)^{3} - 34 \, B a^{5} b^{4} \tan\left(d x + c\right)^{3} + 56 \, A a^{4} b^{5} \tan\left(d x + c\right)^{3} - 36 \, B a^{3} b^{6} \tan\left(d x + c\right)^{3} + 68 \, A a^{2} b^{7} \tan\left(d x + c\right)^{3} - 12 \, B a b^{8} \tan\left(d x + c\right)^{3} + 24 \, A b^{9} \tan\left(d x + c\right)^{3} + 3 \, A a^{9} \tan\left(d x + c\right)^{2} + B a^{8} b \tan\left(d x + c\right)^{2} + 13 \, A a^{7} b^{2} \tan\left(d x + c\right)^{2} - 45 \, B a^{6} b^{3} \tan\left(d x + c\right)^{2} + 88 \, A a^{5} b^{4} \tan\left(d x + c\right)^{2} - 52 \, B a^{4} b^{5} \tan\left(d x + c\right)^{2} + 102 \, A a^{3} b^{6} \tan\left(d x + c\right)^{2} - 18 \, B a^{2} b^{7} \tan\left(d x + c\right)^{2} + 36 \, A a b^{8} \tan\left(d x + c\right)^{2} - 4 \, B a^{9} \tan\left(d x + c\right) + 8 \, A a^{8} b \tan\left(d x + c\right) - 12 \, B a^{7} b^{2} \tan\left(d x + c\right) + 24 \, A a^{6} b^{3} \tan\left(d x + c\right) - 12 \, B a^{5} b^{4} \tan\left(d x + c\right) + 24 \, A a^{4} b^{5} \tan\left(d x + c\right) - 4 \, B a^{3} b^{6} \tan\left(d x + c\right) + 8 \, A a^{2} b^{7} \tan\left(d x + c\right) - 2 \, A a^{9} - 6 \, A a^{7} b^{2} - 6 \, A a^{5} b^{4} - 2 \, A a^{3} b^{6}}{{\left(a^{10} + 3 \, a^{8} b^{2} + 3 \, a^{6} b^{4} + a^{4} b^{6}\right)} {\left(b \tan\left(d x + c\right)^{2} + a \tan\left(d x + c\right)\right)}^{2}} + \frac{4 \, {\left(A a^{2} + 3 \, B a b - 6 \, A b^{2}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{5}}}{4 \, d}"," ",0,"-1/4*(4*(B*a^3 - 3*A*a^2*b - 3*B*a*b^2 + A*b^3)*(d*x + c)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 2*(A*a^3 + 3*B*a^2*b - 3*A*a*b^2 - B*b^3)*log(tan(d*x + c)^2 + 1)/(a^6 + 3*a^4*b^2 + 3*a^2*b^4 + b^6) - 4*(10*B*a^5*b^4 - 15*A*a^4*b^5 + 9*B*a^3*b^6 - 17*A*a^2*b^7 + 3*B*a*b^8 - 6*A*b^9)*log(abs(b*tan(d*x + c) + a))/(a^11*b + 3*a^9*b^3 + 3*a^7*b^5 + a^5*b^7) - (3*A*a^7*b^2*tan(d*x + c)^4 + 9*B*a^6*b^3*tan(d*x + c)^4 - 9*A*a^5*b^4*tan(d*x + c)^4 - 3*B*a^4*b^5*tan(d*x + c)^4 + 6*A*a^8*b*tan(d*x + c)^3 + 14*B*a^7*b^2*tan(d*x + c)^3 - 6*A*a^6*b^3*tan(d*x + c)^3 - 34*B*a^5*b^4*tan(d*x + c)^3 + 56*A*a^4*b^5*tan(d*x + c)^3 - 36*B*a^3*b^6*tan(d*x + c)^3 + 68*A*a^2*b^7*tan(d*x + c)^3 - 12*B*a*b^8*tan(d*x + c)^3 + 24*A*b^9*tan(d*x + c)^3 + 3*A*a^9*tan(d*x + c)^2 + B*a^8*b*tan(d*x + c)^2 + 13*A*a^7*b^2*tan(d*x + c)^2 - 45*B*a^6*b^3*tan(d*x + c)^2 + 88*A*a^5*b^4*tan(d*x + c)^2 - 52*B*a^4*b^5*tan(d*x + c)^2 + 102*A*a^3*b^6*tan(d*x + c)^2 - 18*B*a^2*b^7*tan(d*x + c)^2 + 36*A*a*b^8*tan(d*x + c)^2 - 4*B*a^9*tan(d*x + c) + 8*A*a^8*b*tan(d*x + c) - 12*B*a^7*b^2*tan(d*x + c) + 24*A*a^6*b^3*tan(d*x + c) - 12*B*a^5*b^4*tan(d*x + c) + 24*A*a^4*b^5*tan(d*x + c) - 4*B*a^3*b^6*tan(d*x + c) + 8*A*a^2*b^7*tan(d*x + c) - 2*A*a^9 - 6*A*a^7*b^2 - 6*A*a^5*b^4 - 2*A*a^3*b^6)/((a^10 + 3*a^8*b^2 + 3*a^6*b^4 + a^4*b^6)*(b*tan(d*x + c)^2 + a*tan(d*x + c))^2) + 4*(A*a^2 + 3*B*a*b - 6*A*b^2)*log(abs(tan(d*x + c)))/a^5)/d","B",0
290,1,719,0,2.221500," ","integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{3 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{6 \, {\left(B a^{8} + 4 \, B a^{6} b^{2} + 5 \, B a^{4} b^{4} + 4 \, A a^{3} b^{5} + 10 \, B a^{2} b^{6} - 4 \, A a b^{7}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{8} b^{4} + 4 \, a^{6} b^{6} + 6 \, a^{4} b^{8} + 4 \, a^{2} b^{10} + b^{12}} - \frac{11 \, B a^{8} b^{2} \tan\left(d x + c\right)^{3} + 44 \, B a^{6} b^{4} \tan\left(d x + c\right)^{3} + 55 \, B a^{4} b^{6} \tan\left(d x + c\right)^{3} + 44 \, A a^{3} b^{7} \tan\left(d x + c\right)^{3} + 110 \, B a^{2} b^{8} \tan\left(d x + c\right)^{3} - 44 \, A a b^{9} \tan\left(d x + c\right)^{3} + 15 \, B a^{9} b \tan\left(d x + c\right)^{2} + 6 \, A a^{8} b^{2} \tan\left(d x + c\right)^{2} + 60 \, B a^{7} b^{3} \tan\left(d x + c\right)^{2} + 24 \, A a^{6} b^{4} \tan\left(d x + c\right)^{2} + 51 \, B a^{5} b^{5} \tan\left(d x + c\right)^{2} + 186 \, A a^{4} b^{6} \tan\left(d x + c\right)^{2} + 270 \, B a^{3} b^{7} \tan\left(d x + c\right)^{2} - 96 \, A a^{2} b^{8} \tan\left(d x + c\right)^{2} + 6 \, B a^{10} \tan\left(d x + c\right) + 6 \, A a^{9} b \tan\left(d x + c\right) + 21 \, B a^{8} b^{2} \tan\left(d x + c\right) + 24 \, A a^{7} b^{3} \tan\left(d x + c\right) - 24 \, B a^{6} b^{4} \tan\left(d x + c\right) + 210 \, A a^{5} b^{5} \tan\left(d x + c\right) + 225 \, B a^{4} b^{6} \tan\left(d x + c\right) - 72 \, A a^{3} b^{7} \tan\left(d x + c\right) + 2 \, A a^{10} - B a^{9} b + 6 \, A a^{8} b^{2} - 26 \, B a^{7} b^{3} + 74 \, A a^{6} b^{4} + 63 \, B a^{5} b^{5} - 18 \, A a^{4} b^{6}}{{\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}}{6 \, d}"," ",0,"1/6*(6*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 3*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 6*(B*a^8 + 4*B*a^6*b^2 + 5*B*a^4*b^4 + 4*A*a^3*b^5 + 10*B*a^2*b^6 - 4*A*a*b^7)*log(abs(b*tan(d*x + c) + a))/(a^8*b^4 + 4*a^6*b^6 + 6*a^4*b^8 + 4*a^2*b^10 + b^12) - (11*B*a^8*b^2*tan(d*x + c)^3 + 44*B*a^6*b^4*tan(d*x + c)^3 + 55*B*a^4*b^6*tan(d*x + c)^3 + 44*A*a^3*b^7*tan(d*x + c)^3 + 110*B*a^2*b^8*tan(d*x + c)^3 - 44*A*a*b^9*tan(d*x + c)^3 + 15*B*a^9*b*tan(d*x + c)^2 + 6*A*a^8*b^2*tan(d*x + c)^2 + 60*B*a^7*b^3*tan(d*x + c)^2 + 24*A*a^6*b^4*tan(d*x + c)^2 + 51*B*a^5*b^5*tan(d*x + c)^2 + 186*A*a^4*b^6*tan(d*x + c)^2 + 270*B*a^3*b^7*tan(d*x + c)^2 - 96*A*a^2*b^8*tan(d*x + c)^2 + 6*B*a^10*tan(d*x + c) + 6*A*a^9*b*tan(d*x + c) + 21*B*a^8*b^2*tan(d*x + c) + 24*A*a^7*b^3*tan(d*x + c) - 24*B*a^6*b^4*tan(d*x + c) + 210*A*a^5*b^5*tan(d*x + c) + 225*B*a^4*b^6*tan(d*x + c) - 72*A*a^3*b^7*tan(d*x + c) + 2*A*a^10 - B*a^9*b + 6*A*a^8*b^2 - 26*B*a^7*b^3 + 74*A*a^6*b^4 + 63*B*a^5*b^5 - 18*A*a^4*b^6)/((a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*(b*tan(d*x + c) + a)^3))/d","B",0
291,1,670,0,1.543354," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} - \frac{3 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{6 \, {\left(A a^{4} b + 4 \, B a^{3} b^{2} - 6 \, A a^{2} b^{3} - 4 \, B a b^{4} + A b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}} - \frac{11 \, A a^{4} b^{6} \tan\left(d x + c\right)^{3} + 44 \, B a^{3} b^{7} \tan\left(d x + c\right)^{3} - 66 \, A a^{2} b^{8} \tan\left(d x + c\right)^{3} - 44 \, B a b^{9} \tan\left(d x + c\right)^{3} + 11 \, A b^{10} \tan\left(d x + c\right)^{3} + 6 \, B a^{8} b^{2} \tan\left(d x + c\right)^{2} + 24 \, B a^{6} b^{4} \tan\left(d x + c\right)^{2} + 39 \, A a^{5} b^{5} \tan\left(d x + c\right)^{2} + 186 \, B a^{4} b^{6} \tan\left(d x + c\right)^{2} - 210 \, A a^{3} b^{7} \tan\left(d x + c\right)^{2} - 96 \, B a^{2} b^{8} \tan\left(d x + c\right)^{2} + 15 \, A a b^{9} \tan\left(d x + c\right)^{2} + 6 \, B a^{9} b \tan\left(d x + c\right) + 3 \, A a^{8} b^{2} \tan\left(d x + c\right) + 24 \, B a^{7} b^{3} \tan\left(d x + c\right) + 60 \, A a^{6} b^{4} \tan\left(d x + c\right) + 210 \, B a^{5} b^{5} \tan\left(d x + c\right) - 201 \, A a^{4} b^{6} \tan\left(d x + c\right) - 72 \, B a^{3} b^{7} \tan\left(d x + c\right) + 6 \, A a^{2} b^{8} \tan\left(d x + c\right) + 2 \, B a^{10} + A a^{9} b + 6 \, B a^{8} b^{2} + 26 \, A a^{7} b^{3} + 74 \, B a^{6} b^{4} - 63 \, A a^{5} b^{5} - 18 \, B a^{4} b^{6}}{{\left(a^{8} b^{3} + 4 \, a^{6} b^{5} + 6 \, a^{4} b^{7} + 4 \, a^{2} b^{9} + b^{11}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}}{6 \, d}"," ",0,"1/6*(6*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) - 3*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 6*(A*a^4*b + 4*B*a^3*b^2 - 6*A*a^2*b^3 - 4*B*a*b^4 + A*b^5)*log(abs(b*tan(d*x + c) + a))/(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9) - (11*A*a^4*b^6*tan(d*x + c)^3 + 44*B*a^3*b^7*tan(d*x + c)^3 - 66*A*a^2*b^8*tan(d*x + c)^3 - 44*B*a*b^9*tan(d*x + c)^3 + 11*A*b^10*tan(d*x + c)^3 + 6*B*a^8*b^2*tan(d*x + c)^2 + 24*B*a^6*b^4*tan(d*x + c)^2 + 39*A*a^5*b^5*tan(d*x + c)^2 + 186*B*a^4*b^6*tan(d*x + c)^2 - 210*A*a^3*b^7*tan(d*x + c)^2 - 96*B*a^2*b^8*tan(d*x + c)^2 + 15*A*a*b^9*tan(d*x + c)^2 + 6*B*a^9*b*tan(d*x + c) + 3*A*a^8*b^2*tan(d*x + c) + 24*B*a^7*b^3*tan(d*x + c) + 60*A*a^6*b^4*tan(d*x + c) + 210*B*a^5*b^5*tan(d*x + c) - 201*A*a^4*b^6*tan(d*x + c) - 72*B*a^3*b^7*tan(d*x + c) + 6*A*a^2*b^8*tan(d*x + c) + 2*B*a^10 + A*a^9*b + 6*B*a^8*b^2 + 26*A*a^7*b^3 + 74*B*a^6*b^4 - 63*A*a^5*b^5 - 18*B*a^4*b^6)/((a^8*b^3 + 4*a^6*b^5 + 6*a^4*b^7 + 4*a^2*b^9 + b^11)*(b*tan(d*x + c) + a)^3))/d","B",0
292,1,632,0,1.219226," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{3 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} - \frac{6 \, {\left(B a^{4} b - 4 \, A a^{3} b^{2} - 6 \, B a^{2} b^{3} + 4 \, A a b^{4} + B b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}} + \frac{11 \, B a^{4} b^{5} \tan\left(d x + c\right)^{3} - 44 \, A a^{3} b^{6} \tan\left(d x + c\right)^{3} - 66 \, B a^{2} b^{7} \tan\left(d x + c\right)^{3} + 44 \, A a b^{8} \tan\left(d x + c\right)^{3} + 11 \, B b^{9} \tan\left(d x + c\right)^{3} + 39 \, B a^{5} b^{4} \tan\left(d x + c\right)^{2} - 150 \, A a^{4} b^{5} \tan\left(d x + c\right)^{2} - 210 \, B a^{3} b^{6} \tan\left(d x + c\right)^{2} + 120 \, A a^{2} b^{7} \tan\left(d x + c\right)^{2} + 15 \, B a b^{8} \tan\left(d x + c\right)^{2} + 6 \, A b^{9} \tan\left(d x + c\right)^{2} + 3 \, B a^{8} b \tan\left(d x + c\right) + 60 \, B a^{6} b^{3} \tan\left(d x + c\right) - 174 \, A a^{5} b^{4} \tan\left(d x + c\right) - 201 \, B a^{4} b^{5} \tan\left(d x + c\right) + 96 \, A a^{3} b^{6} \tan\left(d x + c\right) + 6 \, B a^{2} b^{7} \tan\left(d x + c\right) + 6 \, A a b^{8} \tan\left(d x + c\right) + B a^{9} + 2 \, A a^{8} b + 26 \, B a^{7} b^{2} - 62 \, A a^{6} b^{3} - 63 \, B a^{5} b^{4} + 26 \, A a^{4} b^{5} + 2 \, A a^{2} b^{7}}{{\left(a^{8} b^{2} + 4 \, a^{6} b^{4} + 6 \, a^{4} b^{6} + 4 \, a^{2} b^{8} + b^{10}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}}{6 \, d}"," ",0,"-1/6*(6*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 3*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) - 6*(B*a^4*b - 4*A*a^3*b^2 - 6*B*a^2*b^3 + 4*A*a*b^4 + B*b^5)*log(abs(b*tan(d*x + c) + a))/(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9) + (11*B*a^4*b^5*tan(d*x + c)^3 - 44*A*a^3*b^6*tan(d*x + c)^3 - 66*B*a^2*b^7*tan(d*x + c)^3 + 44*A*a*b^8*tan(d*x + c)^3 + 11*B*b^9*tan(d*x + c)^3 + 39*B*a^5*b^4*tan(d*x + c)^2 - 150*A*a^4*b^5*tan(d*x + c)^2 - 210*B*a^3*b^6*tan(d*x + c)^2 + 120*A*a^2*b^7*tan(d*x + c)^2 + 15*B*a*b^8*tan(d*x + c)^2 + 6*A*b^9*tan(d*x + c)^2 + 3*B*a^8*b*tan(d*x + c) + 60*B*a^6*b^3*tan(d*x + c) - 174*A*a^5*b^4*tan(d*x + c) - 201*B*a^4*b^5*tan(d*x + c) + 96*A*a^3*b^6*tan(d*x + c) + 6*B*a^2*b^7*tan(d*x + c) + 6*A*a*b^8*tan(d*x + c) + B*a^9 + 2*A*a^8*b + 26*B*a^7*b^2 - 62*A*a^6*b^3 - 63*B*a^5*b^4 + 26*A*a^4*b^5 + 2*A*a^2*b^7)/((a^8*b^2 + 4*a^6*b^4 + 6*a^4*b^6 + 4*a^2*b^8 + b^10)*(b*tan(d*x + c) + a)^3))/d","B",0
293,1,638,0,0.960662," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} - \frac{3 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{6 \, {\left(A a^{4} b + 4 \, B a^{3} b^{2} - 6 \, A a^{2} b^{3} - 4 \, B a b^{4} + A b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}} - \frac{11 \, A a^{4} b^{4} \tan\left(d x + c\right)^{3} + 44 \, B a^{3} b^{5} \tan\left(d x + c\right)^{3} - 66 \, A a^{2} b^{6} \tan\left(d x + c\right)^{3} - 44 \, B a b^{7} \tan\left(d x + c\right)^{3} + 11 \, A b^{8} \tan\left(d x + c\right)^{3} + 39 \, A a^{5} b^{3} \tan\left(d x + c\right)^{2} + 150 \, B a^{4} b^{4} \tan\left(d x + c\right)^{2} - 210 \, A a^{3} b^{5} \tan\left(d x + c\right)^{2} - 120 \, B a^{2} b^{6} \tan\left(d x + c\right)^{2} + 15 \, A a b^{7} \tan\left(d x + c\right)^{2} - 6 \, B b^{8} \tan\left(d x + c\right)^{2} + 48 \, A a^{6} b^{2} \tan\left(d x + c\right) + 174 \, B a^{5} b^{3} \tan\left(d x + c\right) - 219 \, A a^{4} b^{4} \tan\left(d x + c\right) - 96 \, B a^{3} b^{5} \tan\left(d x + c\right) - 6 \, A a^{2} b^{6} \tan\left(d x + c\right) - 6 \, B a b^{7} \tan\left(d x + c\right) - 3 \, A b^{8} \tan\left(d x + c\right) - 2 \, B a^{8} + 22 \, A a^{7} b + 62 \, B a^{6} b^{2} - 69 \, A a^{5} b^{3} - 26 \, B a^{4} b^{4} - 4 \, A a^{3} b^{5} - 2 \, B a^{2} b^{6} - A a b^{7}}{{\left(a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}}{6 \, d}"," ",0,"-1/6*(6*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) - 3*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 6*(A*a^4*b + 4*B*a^3*b^2 - 6*A*a^2*b^3 - 4*B*a*b^4 + A*b^5)*log(abs(b*tan(d*x + c) + a))/(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9) - (11*A*a^4*b^4*tan(d*x + c)^3 + 44*B*a^3*b^5*tan(d*x + c)^3 - 66*A*a^2*b^6*tan(d*x + c)^3 - 44*B*a*b^7*tan(d*x + c)^3 + 11*A*b^8*tan(d*x + c)^3 + 39*A*a^5*b^3*tan(d*x + c)^2 + 150*B*a^4*b^4*tan(d*x + c)^2 - 210*A*a^3*b^5*tan(d*x + c)^2 - 120*B*a^2*b^6*tan(d*x + c)^2 + 15*A*a*b^7*tan(d*x + c)^2 - 6*B*b^8*tan(d*x + c)^2 + 48*A*a^6*b^2*tan(d*x + c) + 174*B*a^5*b^3*tan(d*x + c) - 219*A*a^4*b^4*tan(d*x + c) - 96*B*a^3*b^5*tan(d*x + c) - 6*A*a^2*b^6*tan(d*x + c) - 6*B*a*b^7*tan(d*x + c) - 3*A*b^8*tan(d*x + c) - 2*B*a^8 + 22*A*a^7*b + 62*B*a^6*b^2 - 69*A*a^5*b^3 - 26*B*a^4*b^4 - 4*A*a^3*b^5 - 2*B*a^2*b^6 - A*a*b^7)/((a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9)*(b*tan(d*x + c) + a)^3))/d","B",0
294,1,630,0,0.841338," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{3 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} - \frac{6 \, {\left(B a^{4} b - 4 \, A a^{3} b^{2} - 6 \, B a^{2} b^{3} + 4 \, A a b^{4} + B b^{5}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{8} b + 4 \, a^{6} b^{3} + 6 \, a^{4} b^{5} + 4 \, a^{2} b^{7} + b^{9}} + \frac{11 \, B a^{4} b^{3} \tan\left(d x + c\right)^{3} - 44 \, A a^{3} b^{4} \tan\left(d x + c\right)^{3} - 66 \, B a^{2} b^{5} \tan\left(d x + c\right)^{3} + 44 \, A a b^{6} \tan\left(d x + c\right)^{3} + 11 \, B b^{7} \tan\left(d x + c\right)^{3} + 39 \, B a^{5} b^{2} \tan\left(d x + c\right)^{2} - 150 \, A a^{4} b^{3} \tan\left(d x + c\right)^{2} - 210 \, B a^{3} b^{4} \tan\left(d x + c\right)^{2} + 120 \, A a^{2} b^{5} \tan\left(d x + c\right)^{2} + 15 \, B a b^{6} \tan\left(d x + c\right)^{2} + 6 \, A b^{7} \tan\left(d x + c\right)^{2} + 48 \, B a^{6} b \tan\left(d x + c\right) - 174 \, A a^{5} b^{2} \tan\left(d x + c\right) - 219 \, B a^{4} b^{3} \tan\left(d x + c\right) + 96 \, A a^{3} b^{4} \tan\left(d x + c\right) - 6 \, B a^{2} b^{5} \tan\left(d x + c\right) + 6 \, A a b^{6} \tan\left(d x + c\right) - 3 \, B b^{7} \tan\left(d x + c\right) + 22 \, B a^{7} - 70 \, A a^{6} b - 69 \, B a^{5} b^{2} + 14 \, A a^{4} b^{3} - 4 \, B a^{3} b^{4} - 6 \, A a^{2} b^{5} - B a b^{6} - 2 \, A b^{7}}{{\left(a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}}{6 \, d}"," ",0,"1/6*(6*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 3*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) - 6*(B*a^4*b - 4*A*a^3*b^2 - 6*B*a^2*b^3 + 4*A*a*b^4 + B*b^5)*log(abs(b*tan(d*x + c) + a))/(a^8*b + 4*a^6*b^3 + 6*a^4*b^5 + 4*a^2*b^7 + b^9) + (11*B*a^4*b^3*tan(d*x + c)^3 - 44*A*a^3*b^4*tan(d*x + c)^3 - 66*B*a^2*b^5*tan(d*x + c)^3 + 44*A*a*b^6*tan(d*x + c)^3 + 11*B*b^7*tan(d*x + c)^3 + 39*B*a^5*b^2*tan(d*x + c)^2 - 150*A*a^4*b^3*tan(d*x + c)^2 - 210*B*a^3*b^4*tan(d*x + c)^2 + 120*A*a^2*b^5*tan(d*x + c)^2 + 15*B*a*b^6*tan(d*x + c)^2 + 6*A*b^7*tan(d*x + c)^2 + 48*B*a^6*b*tan(d*x + c) - 174*A*a^5*b^2*tan(d*x + c) - 219*B*a^4*b^3*tan(d*x + c) + 96*A*a^3*b^4*tan(d*x + c) - 6*B*a^2*b^5*tan(d*x + c) + 6*A*a*b^6*tan(d*x + c) - 3*B*b^7*tan(d*x + c) + 22*B*a^7 - 70*A*a^6*b - 69*B*a^5*b^2 + 14*A*a^4*b^3 - 4*B*a^3*b^4 - 6*A*a^2*b^5 - B*a*b^6 - 2*A*b^7)/((a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8)*(b*tan(d*x + c) + a)^3))/d","B",0
295,1,722,0,2.155259," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} - \frac{3 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{6 \, {\left(4 \, B a^{7} b^{2} - 10 \, A a^{6} b^{3} - 4 \, B a^{5} b^{4} - 5 \, A a^{4} b^{5} - 4 \, A a^{2} b^{7} - A b^{9}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{12} b + 4 \, a^{10} b^{3} + 6 \, a^{8} b^{5} + 4 \, a^{6} b^{7} + a^{4} b^{9}} + \frac{6 \, A \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{4}} - \frac{44 \, B a^{7} b^{4} \tan\left(d x + c\right)^{3} - 110 \, A a^{6} b^{5} \tan\left(d x + c\right)^{3} - 44 \, B a^{5} b^{6} \tan\left(d x + c\right)^{3} - 55 \, A a^{4} b^{7} \tan\left(d x + c\right)^{3} - 44 \, A a^{2} b^{9} \tan\left(d x + c\right)^{3} - 11 \, A b^{11} \tan\left(d x + c\right)^{3} + 150 \, B a^{8} b^{3} \tan\left(d x + c\right)^{2} - 366 \, A a^{7} b^{4} \tan\left(d x + c\right)^{2} - 120 \, B a^{6} b^{5} \tan\left(d x + c\right)^{2} - 219 \, A a^{5} b^{6} \tan\left(d x + c\right)^{2} - 6 \, B a^{4} b^{7} \tan\left(d x + c\right)^{2} - 156 \, A a^{3} b^{8} \tan\left(d x + c\right)^{2} - 39 \, A a b^{10} \tan\left(d x + c\right)^{2} + 174 \, B a^{9} b^{2} \tan\left(d x + c\right) - 411 \, A a^{8} b^{3} \tan\left(d x + c\right) - 96 \, B a^{7} b^{4} \tan\left(d x + c\right) - 294 \, A a^{6} b^{5} \tan\left(d x + c\right) - 6 \, B a^{5} b^{6} \tan\left(d x + c\right) - 195 \, A a^{4} b^{7} \tan\left(d x + c\right) - 48 \, A a^{2} b^{9} \tan\left(d x + c\right) + 70 \, B a^{10} b - 157 \, A a^{9} b^{2} - 14 \, B a^{8} b^{3} - 136 \, A a^{7} b^{4} + 6 \, B a^{6} b^{5} - 89 \, A a^{5} b^{6} + 2 \, B a^{4} b^{7} - 22 \, A a^{3} b^{8}}{{\left(a^{12} + 4 \, a^{10} b^{2} + 6 \, a^{8} b^{4} + 4 \, a^{6} b^{6} + a^{4} b^{8}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}}{6 \, d}"," ",0,"1/6*(6*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) - 3*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 6*(4*B*a^7*b^2 - 10*A*a^6*b^3 - 4*B*a^5*b^4 - 5*A*a^4*b^5 - 4*A*a^2*b^7 - A*b^9)*log(abs(b*tan(d*x + c) + a))/(a^12*b + 4*a^10*b^3 + 6*a^8*b^5 + 4*a^6*b^7 + a^4*b^9) + 6*A*log(abs(tan(d*x + c)))/a^4 - (44*B*a^7*b^4*tan(d*x + c)^3 - 110*A*a^6*b^5*tan(d*x + c)^3 - 44*B*a^5*b^6*tan(d*x + c)^3 - 55*A*a^4*b^7*tan(d*x + c)^3 - 44*A*a^2*b^9*tan(d*x + c)^3 - 11*A*b^11*tan(d*x + c)^3 + 150*B*a^8*b^3*tan(d*x + c)^2 - 366*A*a^7*b^4*tan(d*x + c)^2 - 120*B*a^6*b^5*tan(d*x + c)^2 - 219*A*a^5*b^6*tan(d*x + c)^2 - 6*B*a^4*b^7*tan(d*x + c)^2 - 156*A*a^3*b^8*tan(d*x + c)^2 - 39*A*a*b^10*tan(d*x + c)^2 + 174*B*a^9*b^2*tan(d*x + c) - 411*A*a^8*b^3*tan(d*x + c) - 96*B*a^7*b^4*tan(d*x + c) - 294*A*a^6*b^5*tan(d*x + c) - 6*B*a^5*b^6*tan(d*x + c) - 195*A*a^4*b^7*tan(d*x + c) - 48*A*a^2*b^9*tan(d*x + c) + 70*B*a^10*b - 157*A*a^9*b^2 - 14*B*a^8*b^3 - 136*A*a^7*b^4 + 6*B*a^6*b^5 - 89*A*a^5*b^6 + 2*B*a^4*b^7 - 22*A*a^3*b^8)/((a^12 + 4*a^10*b^2 + 6*a^8*b^4 + 4*a^6*b^6 + a^4*b^8)*(b*tan(d*x + c) + a)^3))/d","B",0
296,1,846,0,3.438478," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{3 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} + \frac{6 \, {\left(10 \, B a^{7} b^{3} - 20 \, A a^{6} b^{4} + 5 \, B a^{5} b^{5} - 24 \, A a^{4} b^{6} + 4 \, B a^{3} b^{7} - 16 \, A a^{2} b^{8} + B a b^{9} - 4 \, A b^{10}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{13} b + 4 \, a^{11} b^{3} + 6 \, a^{9} b^{5} + 4 \, a^{7} b^{7} + a^{5} b^{9}} - \frac{110 \, B a^{7} b^{5} \tan\left(d x + c\right)^{3} - 220 \, A a^{6} b^{6} \tan\left(d x + c\right)^{3} + 55 \, B a^{5} b^{7} \tan\left(d x + c\right)^{3} - 264 \, A a^{4} b^{8} \tan\left(d x + c\right)^{3} + 44 \, B a^{3} b^{9} \tan\left(d x + c\right)^{3} - 176 \, A a^{2} b^{10} \tan\left(d x + c\right)^{3} + 11 \, B a b^{11} \tan\left(d x + c\right)^{3} - 44 \, A b^{12} \tan\left(d x + c\right)^{3} + 366 \, B a^{8} b^{4} \tan\left(d x + c\right)^{2} - 720 \, A a^{7} b^{5} \tan\left(d x + c\right)^{2} + 219 \, B a^{6} b^{6} \tan\left(d x + c\right)^{2} - 906 \, A a^{5} b^{7} \tan\left(d x + c\right)^{2} + 156 \, B a^{4} b^{8} \tan\left(d x + c\right)^{2} - 600 \, A a^{3} b^{9} \tan\left(d x + c\right)^{2} + 39 \, B a^{2} b^{10} \tan\left(d x + c\right)^{2} - 150 \, A a b^{11} \tan\left(d x + c\right)^{2} + 411 \, B a^{9} b^{3} \tan\left(d x + c\right) - 792 \, A a^{8} b^{4} \tan\left(d x + c\right) + 294 \, B a^{7} b^{5} \tan\left(d x + c\right) - 1050 \, A a^{6} b^{6} \tan\left(d x + c\right) + 195 \, B a^{5} b^{7} \tan\left(d x + c\right) - 696 \, A a^{4} b^{8} \tan\left(d x + c\right) + 48 \, B a^{3} b^{9} \tan\left(d x + c\right) - 174 \, A a^{2} b^{10} \tan\left(d x + c\right) + 157 \, B a^{10} b^{2} - 294 \, A a^{9} b^{3} + 136 \, B a^{8} b^{4} - 414 \, A a^{7} b^{5} + 89 \, B a^{6} b^{6} - 278 \, A a^{5} b^{7} + 22 \, B a^{4} b^{8} - 70 \, A a^{3} b^{9}}{{\left(a^{13} + 4 \, a^{11} b^{2} + 6 \, a^{9} b^{4} + 4 \, a^{7} b^{6} + a^{5} b^{8}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}} - \frac{6 \, {\left(B a - 4 \, A b\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{5}} + \frac{6 \, {\left(B a \tan\left(d x + c\right) - 4 \, A b \tan\left(d x + c\right) + A a\right)}}{a^{5} \tan\left(d x + c\right)}}{6 \, d}"," ",0,"-1/6*(6*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 3*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) + 6*(10*B*a^7*b^3 - 20*A*a^6*b^4 + 5*B*a^5*b^5 - 24*A*a^4*b^6 + 4*B*a^3*b^7 - 16*A*a^2*b^8 + B*a*b^9 - 4*A*b^10)*log(abs(b*tan(d*x + c) + a))/(a^13*b + 4*a^11*b^3 + 6*a^9*b^5 + 4*a^7*b^7 + a^5*b^9) - (110*B*a^7*b^5*tan(d*x + c)^3 - 220*A*a^6*b^6*tan(d*x + c)^3 + 55*B*a^5*b^7*tan(d*x + c)^3 - 264*A*a^4*b^8*tan(d*x + c)^3 + 44*B*a^3*b^9*tan(d*x + c)^3 - 176*A*a^2*b^10*tan(d*x + c)^3 + 11*B*a*b^11*tan(d*x + c)^3 - 44*A*b^12*tan(d*x + c)^3 + 366*B*a^8*b^4*tan(d*x + c)^2 - 720*A*a^7*b^5*tan(d*x + c)^2 + 219*B*a^6*b^6*tan(d*x + c)^2 - 906*A*a^5*b^7*tan(d*x + c)^2 + 156*B*a^4*b^8*tan(d*x + c)^2 - 600*A*a^3*b^9*tan(d*x + c)^2 + 39*B*a^2*b^10*tan(d*x + c)^2 - 150*A*a*b^11*tan(d*x + c)^2 + 411*B*a^9*b^3*tan(d*x + c) - 792*A*a^8*b^4*tan(d*x + c) + 294*B*a^7*b^5*tan(d*x + c) - 1050*A*a^6*b^6*tan(d*x + c) + 195*B*a^5*b^7*tan(d*x + c) - 696*A*a^4*b^8*tan(d*x + c) + 48*B*a^3*b^9*tan(d*x + c) - 174*A*a^2*b^10*tan(d*x + c) + 157*B*a^10*b^2 - 294*A*a^9*b^3 + 136*B*a^8*b^4 - 414*A*a^7*b^5 + 89*B*a^6*b^6 - 278*A*a^5*b^7 + 22*B*a^4*b^8 - 70*A*a^3*b^9)/((a^13 + 4*a^11*b^2 + 6*a^9*b^4 + 4*a^7*b^6 + a^5*b^8)*(b*tan(d*x + c) + a)^3) - 6*(B*a - 4*A*b)*log(abs(tan(d*x + c)))/a^5 + 6*(B*a*tan(d*x + c) - 4*A*b*tan(d*x + c) + A*a)/(a^5*tan(d*x + c)))/d","B",0
297,1,903,0,5.091481," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(B a^{4} - 4 \, A a^{3} b - 6 \, B a^{2} b^{2} + 4 \, A a b^{3} + B b^{4}\right)} {\left(d x + c\right)}}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} - \frac{3 \, {\left(A a^{4} + 4 \, B a^{3} b - 6 \, A a^{2} b^{2} - 4 \, B a b^{3} + A b^{4}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{8} + 4 \, a^{6} b^{2} + 6 \, a^{4} b^{4} + 4 \, a^{2} b^{6} + b^{8}} - \frac{6 \, {\left(20 \, B a^{7} b^{4} - 35 \, A a^{6} b^{5} + 24 \, B a^{5} b^{6} - 56 \, A a^{4} b^{7} + 16 \, B a^{3} b^{8} - 39 \, A a^{2} b^{9} + 4 \, B a b^{10} - 10 \, A b^{11}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{14} b + 4 \, a^{12} b^{3} + 6 \, a^{10} b^{5} + 4 \, a^{8} b^{7} + a^{6} b^{9}} + \frac{220 \, B a^{7} b^{6} \tan\left(d x + c\right)^{3} - 385 \, A a^{6} b^{7} \tan\left(d x + c\right)^{3} + 264 \, B a^{5} b^{8} \tan\left(d x + c\right)^{3} - 616 \, A a^{4} b^{9} \tan\left(d x + c\right)^{3} + 176 \, B a^{3} b^{10} \tan\left(d x + c\right)^{3} - 429 \, A a^{2} b^{11} \tan\left(d x + c\right)^{3} + 44 \, B a b^{12} \tan\left(d x + c\right)^{3} - 110 \, A b^{13} \tan\left(d x + c\right)^{3} + 720 \, B a^{8} b^{5} \tan\left(d x + c\right)^{2} - 1245 \, A a^{7} b^{6} \tan\left(d x + c\right)^{2} + 906 \, B a^{6} b^{7} \tan\left(d x + c\right)^{2} - 2040 \, A a^{5} b^{8} \tan\left(d x + c\right)^{2} + 600 \, B a^{4} b^{9} \tan\left(d x + c\right)^{2} - 1425 \, A a^{3} b^{10} \tan\left(d x + c\right)^{2} + 150 \, B a^{2} b^{11} \tan\left(d x + c\right)^{2} - 366 \, A a b^{12} \tan\left(d x + c\right)^{2} + 792 \, B a^{9} b^{4} \tan\left(d x + c\right) - 1350 \, A a^{8} b^{5} \tan\left(d x + c\right) + 1050 \, B a^{7} b^{6} \tan\left(d x + c\right) - 2271 \, A a^{6} b^{7} \tan\left(d x + c\right) + 696 \, B a^{5} b^{8} \tan\left(d x + c\right) - 1596 \, A a^{4} b^{9} \tan\left(d x + c\right) + 174 \, B a^{3} b^{10} \tan\left(d x + c\right) - 411 \, A a^{2} b^{11} \tan\left(d x + c\right) + 294 \, B a^{10} b^{3} - 492 \, A a^{9} b^{4} + 414 \, B a^{8} b^{5} - 853 \, A a^{7} b^{6} + 278 \, B a^{6} b^{7} - 606 \, A a^{5} b^{8} + 70 \, B a^{4} b^{9} - 157 \, A a^{3} b^{10}}{{\left(a^{14} + 4 \, a^{12} b^{2} + 6 \, a^{10} b^{4} + 4 \, a^{8} b^{6} + a^{6} b^{8}\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}} + \frac{6 \, {\left(A a^{2} + 4 \, B a b - 10 \, A b^{2}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{6}} - \frac{3 \, {\left(3 \, A a^{2} \tan\left(d x + c\right)^{2} + 12 \, B a b \tan\left(d x + c\right)^{2} - 30 \, A b^{2} \tan\left(d x + c\right)^{2} - 2 \, B a^{2} \tan\left(d x + c\right) + 8 \, A a b \tan\left(d x + c\right) - A a^{2}\right)}}{a^{6} \tan\left(d x + c\right)^{2}}}{6 \, d}"," ",0,"-1/6*(6*(B*a^4 - 4*A*a^3*b - 6*B*a^2*b^2 + 4*A*a*b^3 + B*b^4)*(d*x + c)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) - 3*(A*a^4 + 4*B*a^3*b - 6*A*a^2*b^2 - 4*B*a*b^3 + A*b^4)*log(tan(d*x + c)^2 + 1)/(a^8 + 4*a^6*b^2 + 6*a^4*b^4 + 4*a^2*b^6 + b^8) - 6*(20*B*a^7*b^4 - 35*A*a^6*b^5 + 24*B*a^5*b^6 - 56*A*a^4*b^7 + 16*B*a^3*b^8 - 39*A*a^2*b^9 + 4*B*a*b^10 - 10*A*b^11)*log(abs(b*tan(d*x + c) + a))/(a^14*b + 4*a^12*b^3 + 6*a^10*b^5 + 4*a^8*b^7 + a^6*b^9) + (220*B*a^7*b^6*tan(d*x + c)^3 - 385*A*a^6*b^7*tan(d*x + c)^3 + 264*B*a^5*b^8*tan(d*x + c)^3 - 616*A*a^4*b^9*tan(d*x + c)^3 + 176*B*a^3*b^10*tan(d*x + c)^3 - 429*A*a^2*b^11*tan(d*x + c)^3 + 44*B*a*b^12*tan(d*x + c)^3 - 110*A*b^13*tan(d*x + c)^3 + 720*B*a^8*b^5*tan(d*x + c)^2 - 1245*A*a^7*b^6*tan(d*x + c)^2 + 906*B*a^6*b^7*tan(d*x + c)^2 - 2040*A*a^5*b^8*tan(d*x + c)^2 + 600*B*a^4*b^9*tan(d*x + c)^2 - 1425*A*a^3*b^10*tan(d*x + c)^2 + 150*B*a^2*b^11*tan(d*x + c)^2 - 366*A*a*b^12*tan(d*x + c)^2 + 792*B*a^9*b^4*tan(d*x + c) - 1350*A*a^8*b^5*tan(d*x + c) + 1050*B*a^7*b^6*tan(d*x + c) - 2271*A*a^6*b^7*tan(d*x + c) + 696*B*a^5*b^8*tan(d*x + c) - 1596*A*a^4*b^9*tan(d*x + c) + 174*B*a^3*b^10*tan(d*x + c) - 411*A*a^2*b^11*tan(d*x + c) + 294*B*a^10*b^3 - 492*A*a^9*b^4 + 414*B*a^8*b^5 - 853*A*a^7*b^6 + 278*B*a^6*b^7 - 606*A*a^5*b^8 + 70*B*a^4*b^9 - 157*A*a^3*b^10)/((a^14 + 4*a^12*b^2 + 6*a^10*b^4 + 4*a^8*b^6 + a^6*b^8)*(b*tan(d*x + c) + a)^3) + 6*(A*a^2 + 4*B*a*b - 10*A*b^2)*log(abs(tan(d*x + c)))/a^6 - 3*(3*A*a^2*tan(d*x + c)^2 + 12*B*a*b*tan(d*x + c)^2 - 30*A*b^2*tan(d*x + c)^2 - 2*B*a^2*tan(d*x + c) + 8*A*a*b*tan(d*x + c) - A*a^2)/(a^6*tan(d*x + c)^2))/d","A",0
298,1,187,0,0.760920," ","integrate(tan(d*x+c)^3*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{B \log\left({\left| -\frac{\cos\left(d x + c\right) + 1}{\cos\left(d x + c\right) - 1} - \frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} + 2 \right|}\right) - B \log\left({\left| -\frac{\cos\left(d x + c\right) + 1}{\cos\left(d x + c\right) - 1} - \frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} - 2 \right|}\right) + \frac{B {\left(\frac{\cos\left(d x + c\right) + 1}{\cos\left(d x + c\right) - 1} + \frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1}\right)} + 6 \, B}{\frac{\cos\left(d x + c\right) + 1}{\cos\left(d x + c\right) - 1} + \frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} + 2}}{2 \, d}"," ",0,"-1/2*(B*log(abs(-(cos(d*x + c) + 1)/(cos(d*x + c) - 1) - (cos(d*x + c) - 1)/(cos(d*x + c) + 1) + 2)) - B*log(abs(-(cos(d*x + c) + 1)/(cos(d*x + c) - 1) - (cos(d*x + c) - 1)/(cos(d*x + c) + 1) - 2)) + (B*((cos(d*x + c) + 1)/(cos(d*x + c) - 1) + (cos(d*x + c) - 1)/(cos(d*x + c) + 1)) + 6*B)/((cos(d*x + c) + 1)/(cos(d*x + c) - 1) + (cos(d*x + c) - 1)/(cos(d*x + c) + 1) + 2))/d","B",0
299,1,22,0,0.487775," ","integrate(tan(d*x+c)^2*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{{\left(d x + c\right)} B - B \tan\left(d x + c\right)}{d}"," ",0,"-((d*x + c)*B - B*tan(d*x + c))/d","A",0
300,1,99,0,0.219613," ","integrate(tan(d*x+c)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{B \log\left({\left| -\frac{\cos\left(d x + c\right) + 1}{\cos\left(d x + c\right) - 1} - \frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} + 2 \right|}\right) - B \log\left({\left| -\frac{\cos\left(d x + c\right) + 1}{\cos\left(d x + c\right) - 1} - \frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} - 2 \right|}\right)}{2 \, d}"," ",0,"1/2*(B*log(abs(-(cos(d*x + c) + 1)/(cos(d*x + c) - 1) - (cos(d*x + c) - 1)/(cos(d*x + c) + 1) + 2)) - B*log(abs(-(cos(d*x + c) + 1)/(cos(d*x + c) - 1) - (cos(d*x + c) - 1)/(cos(d*x + c) + 1) - 2)))/d","B",0
301,1,10,0,0.218446," ","integrate((a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{{\left(d x + c\right)} B}{d}"," ",0,"(d*x + c)*B/d","C",0
302,1,59,0,0.266309," ","integrate(cot(d*x+c)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{B \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) - 2 \, B \log\left({\left| -\frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} + 1 \right|}\right)}{2 \, d}"," ",0,"1/2*(B*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) - 2*B*log(abs(-(cos(d*x + c) - 1)/(cos(d*x + c) + 1) + 1)))/d","B",0
303,1,39,0,0.279330," ","integrate(cot(d*x+c)^2*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{2 \, {\left(d x + c\right)} B - B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{B}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)}}{2 \, d}"," ",0,"-1/2*(2*(d*x + c)*B - B*tan(1/2*d*x + 1/2*c) + B/tan(1/2*d*x + 1/2*c))/d","B",0
304,1,124,0,0.341051," ","integrate(cot(d*x+c)^3*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","-\frac{4 \, B \log\left(\frac{{\left| -\cos\left(d x + c\right) + 1 \right|}}{{\left| \cos\left(d x + c\right) + 1 \right|}}\right) - 8 \, B \log\left({\left| -\frac{\cos\left(d x + c\right) - 1}{\cos\left(d x + c\right) + 1} + 1 \right|}\right) - \frac{{\left(B + \frac{4 \, B {\left(\cos\left(d x + c\right) - 1\right)}}{\cos\left(d x + c\right) + 1}\right)} {\left(\cos\left(d x + c\right) + 1\right)}}{\cos\left(d x + c\right) - 1} - \frac{B {\left(\cos\left(d x + c\right) - 1\right)}}{\cos\left(d x + c\right) + 1}}{8 \, d}"," ",0,"-1/8*(4*B*log(abs(-cos(d*x + c) + 1)/abs(cos(d*x + c) + 1)) - 8*B*log(abs(-(cos(d*x + c) - 1)/(cos(d*x + c) + 1) + 1)) - (B + 4*B*(cos(d*x + c) - 1)/(cos(d*x + c) + 1))*(cos(d*x + c) + 1)/(cos(d*x + c) - 1) - B*(cos(d*x + c) - 1)/(cos(d*x + c) + 1))/d","B",0
305,1,69,0,0.343205," ","integrate(cot(d*x+c)^4*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3} + 24 \, {\left(d x + c\right)} B - 15 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right) + \frac{15 \, B \tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{2} - B}{\tan\left(\frac{1}{2} \, d x + \frac{1}{2} \, c\right)^{3}}}{24 \, d}"," ",0,"1/24*(B*tan(1/2*d*x + 1/2*c)^3 + 24*(d*x + c)*B - 15*B*tan(1/2*d*x + 1/2*c) + (15*B*tan(1/2*d*x + 1/2*c)^2 - B)/tan(1/2*d*x + 1/2*c)^3)/d","B",0
306,1,105,0,1.514911," ","integrate(tan(d*x+c)^4*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, B a^{4} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b^{3} + b^{5}} + \frac{2 \, {\left(d x + c\right)} B a}{a^{2} + b^{2}} - \frac{B b \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} + \frac{B b \tan\left(d x + c\right)^{2} - 2 \, B a \tan\left(d x + c\right)}{b^{2}}}{2 \, d}"," ",0,"1/2*(2*B*a^4*log(abs(b*tan(d*x + c) + a))/(a^2*b^3 + b^5) + 2*(d*x + c)*B*a/(a^2 + b^2) - B*b*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) + (B*b*tan(d*x + c)^2 - 2*B*a*tan(d*x + c))/b^2)/d","A",0
307,1,90,0,0.882105," ","integrate(tan(d*x+c)^3*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, B a^{3} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b^{2} + b^{4}} + \frac{2 \, {\left(d x + c\right)} B b}{a^{2} + b^{2}} + \frac{B a \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{2 \, B \tan\left(d x + c\right)}{b}}{2 \, d}"," ",0,"-1/2*(2*B*a^3*log(abs(b*tan(d*x + c) + a))/(a^2*b^2 + b^4) + 2*(d*x + c)*B*b/(a^2 + b^2) + B*a*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 2*B*tan(d*x + c)/b)/d","A",0
308,1,76,0,0.577994," ","integrate(tan(d*x+c)^2*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, B a^{2} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b + b^{3}} - \frac{2 \, {\left(d x + c\right)} B a}{a^{2} + b^{2}} + \frac{B b \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}}}{2 \, d}"," ",0,"1/2*(2*B*a^2*log(abs(b*tan(d*x + c) + a))/(a^2*b + b^3) - 2*(d*x + c)*B*a/(a^2 + b^2) + B*b*log(tan(d*x + c)^2 + 1)/(a^2 + b^2))/d","A",0
309,1,76,0,0.337683," ","integrate(tan(d*x+c)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, B a b \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b + b^{3}} - \frac{2 \, {\left(d x + c\right)} B b}{a^{2} + b^{2}} - \frac{B a \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}}}{2 \, d}"," ",0,"-1/2*(2*B*a*b*log(abs(b*tan(d*x + c) + a))/(a^2*b + b^3) - 2*(d*x + c)*B*b/(a^2 + b^2) - B*a*log(tan(d*x + c)^2 + 1)/(a^2 + b^2))/d","A",0
310,1,77,0,0.308604," ","integrate((a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, B b^{2} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{2} b + b^{3}} + \frac{2 \, {\left(d x + c\right)} B a}{a^{2} + b^{2}} - \frac{B b \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}}}{2 \, d}"," ",0,"1/2*(2*B*b^2*log(abs(b*tan(d*x + c) + a))/(a^2*b + b^3) + 2*(d*x + c)*B*a/(a^2 + b^2) - B*b*log(tan(d*x + c)^2 + 1)/(a^2 + b^2))/d","A",0
311,1,92,0,0.452123," ","integrate(cot(d*x+c)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, B b^{3} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{3} b + a b^{3}} + \frac{2 \, {\left(d x + c\right)} B b}{a^{2} + b^{2}} + \frac{B a \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{2 \, B \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a}}{2 \, d}"," ",0,"-1/2*(2*B*b^3*log(abs(b*tan(d*x + c) + a))/(a^3*b + a*b^3) + 2*(d*x + c)*B*b/(a^2 + b^2) + B*a*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 2*B*log(abs(tan(d*x + c)))/a)/d","A",0
312,1,122,0,0.566182," ","integrate(cot(d*x+c)^2*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\frac{\frac{2 \, B b^{4} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{4} b + a^{2} b^{3}} - \frac{2 \, {\left(d x + c\right)} B a}{a^{2} + b^{2}} + \frac{B b \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} - \frac{2 \, B b \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{2}} + \frac{2 \, {\left(B b \tan\left(d x + c\right) - B a\right)}}{a^{2} \tan\left(d x + c\right)}}{2 \, d}"," ",0,"1/2*(2*B*b^4*log(abs(b*tan(d*x + c) + a))/(a^4*b + a^2*b^3) - 2*(d*x + c)*B*a/(a^2 + b^2) + B*b*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) - 2*B*b*log(abs(tan(d*x + c)))/a^2 + 2*(B*b*tan(d*x + c) - B*a)/(a^2*tan(d*x + c)))/d","A",0
313,1,165,0,0.733050," ","integrate(cot(d*x+c)^3*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, B b^{5} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{5} b + a^{3} b^{3}} - \frac{2 \, {\left(d x + c\right)} B b}{a^{2} + b^{2}} - \frac{B a \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{2} + b^{2}} + \frac{2 \, {\left(B a^{2} - B b^{2}\right)} \log\left({\left| \tan\left(d x + c\right) \right|}\right)}{a^{3}} - \frac{3 \, B a^{2} \tan\left(d x + c\right)^{2} - 3 \, B b^{2} \tan\left(d x + c\right)^{2} + 2 \, B a b \tan\left(d x + c\right) - B a^{2}}{a^{3} \tan\left(d x + c\right)^{2}}}{2 \, d}"," ",0,"-1/2*(2*B*b^5*log(abs(b*tan(d*x + c) + a))/(a^5*b + a^3*b^3) - 2*(d*x + c)*B*b/(a^2 + b^2) - B*a*log(tan(d*x + c)^2 + 1)/(a^2 + b^2) + 2*(B*a^2 - B*b^2)*log(abs(tan(d*x + c)))/a^3 - (3*B*a^2*tan(d*x + c)^2 - 3*B*b^2*tan(d*x + c)^2 + 2*B*a*b*tan(d*x + c) - B*a^2)/(a^3*tan(d*x + c)^2))/d","A",0
314,1,36,0,0.281055," ","integrate((3+tan(d*x+c))/(2-tan(d*x+c)),x, algorithm=""giac"")","\frac{2 \, d x + 2 \, c + \log\left(\tan\left(d x + c\right)^{2} + 1\right) - 2 \, \log\left({\left| \tan\left(d x + c\right) - 2 \right|}\right)}{2 \, d}"," ",0,"1/2*(2*d*x + 2*c + log(tan(d*x + c)^2 + 1) - 2*log(abs(tan(d*x + c) - 2)))/d","A",0
315,1,99,0,0.285786," ","integrate((b*B/a+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\frac{\frac{4 \, {\left(d x + c\right)} B b}{a^{2} + b^{2}} + \frac{{\left(B a^{2} - B b^{2}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{3} + a b^{2}} - \frac{2 \, {\left(B a^{2} b - B b^{3}\right)} \log\left({\left| b \tan\left(d x + c\right) + a \right|}\right)}{a^{3} b + a b^{3}}}{2 \, d}"," ",0,"1/2*(4*(d*x + c)*B*b/(a^2 + b^2) + (B*a^2 - B*b^2)*log(tan(d*x + c)^2 + 1)/(a^3 + a*b^2) - 2*(B*a^2*b - B*b^3)*log(abs(b*tan(d*x + c) + a))/(a^3*b + a*b^3))/d","A",0
316,1,199,0,0.538543," ","integrate((a+b*tan(d*x+c))/(b+a*tan(d*x+c))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(a^{3} - 3 \, a b^{2}\right)} {\left(d x + c\right)}}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} + \frac{{\left(3 \, a^{2} b - b^{3}\right)} \log\left(\tan\left(d x + c\right)^{2} + 1\right)}{a^{4} + 2 \, a^{2} b^{2} + b^{4}} - \frac{2 \, {\left(3 \, a^{3} b - a b^{3}\right)} \log\left({\left| a \tan\left(d x + c\right) + b \right|}\right)}{a^{5} + 2 \, a^{3} b^{2} + a b^{4}} + \frac{2 \, {\left(3 \, a^{3} b \tan\left(d x + c\right) - a b^{3} \tan\left(d x + c\right) + a^{4} + 3 \, a^{2} b^{2} - 2 \, b^{4}\right)}}{{\left(a^{4} + 2 \, a^{2} b^{2} + b^{4}\right)} {\left(a \tan\left(d x + c\right) + b\right)}}}{2 \, d}"," ",0,"-1/2*(2*(a^3 - 3*a*b^2)*(d*x + c)/(a^4 + 2*a^2*b^2 + b^4) + (3*a^2*b - b^3)*log(tan(d*x + c)^2 + 1)/(a^4 + 2*a^2*b^2 + b^4) - 2*(3*a^3*b - a*b^3)*log(abs(a*tan(d*x + c) + b))/(a^5 + 2*a^3*b^2 + a*b^4) + 2*(3*a^3*b*tan(d*x + c) - a*b^3*tan(d*x + c) + a^4 + 3*a^2*b^2 - 2*b^4)/((a^4 + 2*a^2*b^2 + b^4)*(a*tan(d*x + c) + b)))/d","A",0
317,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*tan(d*x+c)^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
318,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*tan(d*x+c)^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
319,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*tan(d*x+c)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
320,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
321,-1,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
322,-1,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
323,-1,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
324,-1,0,0,0.000000," ","integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
325,-1,0,0,0.000000," ","integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
326,-1,0,0,0.000000," ","integrate(tan(d*x+c)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
327,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
328,-1,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
329,-1,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
330,-1,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
331,-1,0,0,0.000000," ","integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
332,-1,0,0,0.000000," ","integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
333,-1,0,0,0.000000," ","integrate(tan(d*x+c)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
334,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
335,-1,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
336,-1,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
337,-1,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,-1,0,0,0.000000," ","integrate(cot(d*x+c)^4*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
339,-1,0,0,0.000000," ","integrate(cot(d*x+c)^5*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
340,-1,0,0,0.000000," ","integrate((-a+b*tan(d*x+c))*(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
341,-1,0,0,0.000000," ","integrate((-a+b*tan(d*x+c))*(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
342,-1,0,0,0.000000," ","integrate((-a+b*tan(d*x+c))*(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
343,-2,0,0,0.000000," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-3,46]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-48,-5]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 50.84Done","F(-2)",0
344,-2,0,0,0.000000," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-49,-25]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[46,-92]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 81.9Done","F(-2)",0
345,-2,0,0,0.000000," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[85,31]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[51,-14]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.72Done","F(-2)",0
346,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[31,84]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-14,-77]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 80.66Done","F(-2)",0
347,-2,0,0,0.000000," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-4,-97]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[69,80]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 80.48Done","F(-2)",0
348,-2,0,0,0.000000," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[29,3]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-40,41]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 85.12Done","F(-2)",0
349,-2,0,0,0.000000," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-43,-99]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-89,34]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 83.46Done","F(-2)",0
350,-2,0,0,0.000000," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[89,-63]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[99,23]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.16Done","F(-2)",0
351,-2,0,0,0.000000," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[11,-47]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-37,-59]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 84.35Done","F(-2)",0
352,-2,0,0,0.000000," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[89,-63]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[99,23]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.7Done","F(-2)",0
353,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-65,8]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-77,45]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 79.63Done","F(-2)",0
354,-2,0,0,0.000000," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-97,-38]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-18,-24]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 83.35Done","F(-2)",0
355,-2,0,0,0.000000," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-55,-34]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[68,98]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 86.47Done","F(-2)",0
356,-2,0,0,0.000000," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-4,-46]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-14,53]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 81.83Done","F(-2)",0
357,-2,0,0,0.000000," ","integrate(tan(d*x+c)^4*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[1,7]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[98,-96]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 96.14Done","F(-2)",0
358,-2,0,0,0.000000," ","integrate(tan(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-77,-14]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-45,5]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.28Done","F(-2)",0
359,-2,0,0,0.000000," ","integrate(tan(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[89,-63]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[99,23]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueUnable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Unable to check sign: (2*pi/t_nostep/2)>(-2*pi/t_nostep/2)Warning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.45Done","F(-2)",0
360,-2,0,0,0.000000," ","integrate(tan(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[61,-16]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-66,57]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 81.63Done","F(-2)",0
361,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-33,-84]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-42,82]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.18Done","F(-2)",0
362,-2,0,0,0.000000," ","integrate(cot(d*x+c)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[69,-52]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[91,52]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 86.17Done","F(-2)",0
363,-2,0,0,0.000000," ","integrate(cot(d*x+c)^2*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-35,1]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-9,-88]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 88.47Done","F(-2)",0
364,-2,0,0,0.000000," ","integrate(cot(d*x+c)^3*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-37,-94]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-40,-89]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 92.96Done","F(-2)",0
365,-2,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-7,-3]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[80,-69]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 76.95Done","F(-2)",0
366,-2,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-13,-93]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[50,-99]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 81.33Done","F(-2)",0
367,-2,0,0,0.000000," ","integrate(cot(d*x+c)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-85,75]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[21,48]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.39Done","F(-2)",0
368,-2,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-49,-25]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[46,-92]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 84.11Done","F(-2)",0
369,-2,0,0,0.000000," ","integrate(cot(d*x+c)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-4,-97]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[69,80]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 80.75Done","F(-2)",0
370,-2,0,0,0.000000," ","integrate((-a+b*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-84,-49]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[82,-6]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 77.12Done","F(-2)",0
371,-2,0,0,0.000000," ","integrate((-a+b*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-62,5]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-99,-57]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 81.18Done","F(-2)",0
372,-2,0,0,0.000000," ","integrate((-a+b*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-4,-97]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[69,80]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 83.13Done","F(-2)",0
373,-2,0,0,0.000000," ","integrate((1+I*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-84,-49]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[82,-6]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 82.3Done","F(-2)",0
374,-2,0,0,0.000000," ","integrate((1-I*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-84,-49]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[82,-6]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 81.13Done","F(-2)",0
375,1,65,0,0.169799," ","integrate((3+tan(x))/(4+3*tan(x))^(1/2),x, algorithm=""giac"")","\sqrt{2} \arctan\left(\frac{1}{250} \cdot 25^{\frac{3}{4}} \sqrt{10} {\left(3 \cdot 25^{\frac{1}{4}} \sqrt{10} + 10 \, \sqrt{3 \, \tan\left(x\right) + 4}\right)}\right) + \sqrt{2} \arctan\left(-\frac{1}{250} \cdot 25^{\frac{3}{4}} \sqrt{10} {\left(3 \cdot 25^{\frac{1}{4}} \sqrt{10} - 10 \, \sqrt{3 \, \tan\left(x\right) + 4}\right)}\right)"," ",0,"sqrt(2)*arctan(1/250*25^(3/4)*sqrt(10)*(3*25^(1/4)*sqrt(10) + 10*sqrt(3*tan(x) + 4))) + sqrt(2)*arctan(-1/250*25^(3/4)*sqrt(10)*(3*25^(1/4)*sqrt(10) - 10*sqrt(3*tan(x) + 4)))","B",0
376,1,57,0,0.142953," ","integrate((1-3*tan(x))/(4+3*tan(x))^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{2} \log\left(\frac{3}{5} \cdot 25^{\frac{1}{4}} \sqrt{10} \sqrt{3 \, \tan\left(x\right) + 4} + 3 \, \tan\left(x\right) + 9\right) - \frac{1}{2} \, \sqrt{2} \log\left(-\frac{3}{5} \cdot 25^{\frac{1}{4}} \sqrt{10} \sqrt{3 \, \tan\left(x\right) + 4} + 3 \, \tan\left(x\right) + 9\right)"," ",0,"1/2*sqrt(2)*log(3/5*25^(1/4)*sqrt(10)*sqrt(3*tan(x) + 4) + 3*tan(x) + 9) - 1/2*sqrt(2)*log(-3/5*25^(1/4)*sqrt(10)*sqrt(3*tan(x) + 4) + 3*tan(x) + 9)","B",0
377,0,0,0,0.000000," ","integrate((4-3*tan(b*x+a))/(4+3*tan(b*x+a))^(1/2),x, algorithm=""giac"")","\int -\frac{3 \, \tan\left(b x + a\right) - 4}{\sqrt{3 \, \tan\left(b x + a\right) + 4}}\,{d x}"," ",0,"integrate(-(3*tan(b*x + a) - 4)/sqrt(3*tan(b*x + a) + 4), x)","F",0
378,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
379,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
380,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
381,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}}{\sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)/sqrt(tan(d*x + c)), x)","F",0
382,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)/tan(d*x + c)^(3/2), x)","F",0
383,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)/tan(d*x + c)^(5/2), x)","F",0
384,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)/tan(d*x + c)^(7/2), x)","F",0
385,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
386,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
387,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
388,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}{\sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2/sqrt(tan(d*x + c)), x)","F",0
389,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2/tan(d*x + c)^(3/2), x)","F",0
390,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2/tan(d*x + c)^(5/2), x)","F",0
391,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^2*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2/tan(d*x + c)^(7/2), x)","F",0
392,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
393,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
394,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}{\sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3/sqrt(tan(d*x + c)), x)","F",0
395,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3/tan(d*x + c)^(3/2), x)","F",0
396,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}{\tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3/tan(d*x + c)^(5/2), x)","F",0
397,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^3*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}{\tan\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3/tan(d*x + c)^(7/2), x)","F",0
398,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
399,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
400,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)*sqrt(tan(d*x + c))), x)","F",0
402,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)*tan(d*x + c)^(3/2)), x)","F",0
403,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)*tan(d*x + c)^(5/2)), x)","F",0
404,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
405,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
406,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
407,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^2*sqrt(tan(d*x + c))), x)","F",0
408,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^2*tan(d*x + c)^(3/2)), x)","F",0
409,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^2*tan(d*x + c)^(5/2)), x)","F",0
410,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(7/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
411,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
412,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
413,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
414,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{3} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^3*sqrt(tan(d*x + c))), x)","F",0
415,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{3} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^3*tan(d*x + c)^(3/2)), x)","F",0
416,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
417,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
418,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
419,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)*sqrt(tan(d*x + c))), x)","F",0
420,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)*tan(d*x + c)^(3/2)), x)","F",0
421,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)*tan(d*x + c)^(5/2)), x)","F",0
422,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
423,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
424,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
425,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)^2*sqrt(tan(d*x + c))), x)","F",0
426,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)^2*tan(d*x + c)^(3/2)), x)","F",0
427,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*tan(d*x+c)^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
428,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
429,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
430,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
431,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
432,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
433,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
434,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
435,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
436,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
437,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
438,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
439,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
440,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
441,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
442,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
443,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
444,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
445,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
446,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
447,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
448,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(9/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
449,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(11/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
450,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/tan(d*x+c)^(13/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
451,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(3/2*b*B/a+B*tan(d*x+c))/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
452,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
453,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
454,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-22,-84]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-78,57]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 84.24Done","F(-2)",0
455,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2)/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-84,-1]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[57,-56]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 91.84Done","F(-2)",0
456,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2)/tan(d*x+c)^(5/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-1,40]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-56,95]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 89.09Done","F(-2)",0
457,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2)/tan(d*x+c)^(7/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-1,40]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-56,95]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 90.45Done","F(-2)",0
458,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
459,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
460,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[72,50]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[97,-63]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 89.94Done","F(-2)",0
461,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Warning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[29,3]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, need to choose a branch for the root of a polynomial with parameters. This might be wrong.The choice was done assuming [d]=[-40,41]sym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument Valuesym2poly/r2sym(const gen & e,const index_m & i,const vecteur & l) Error: Bad Argument ValueWarning, integration of abs or sign assumes constant sign by intervals (correct if the argument is real):Check [abs(t_nostep^2-1)]Discontinuities at zeroes of t_nostep^2-1 were not checkedEvaluation time: 91.45Done","F(-2)",0
462,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
463,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
464,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
465,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
466,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
467,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
468,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/tan(d*x+c)^(5/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
469,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
470,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
471,-1,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/tan(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
472,-1,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/tan(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
473,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(2/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^(2/3), x)","F",0
474,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/3)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^(1/3), x)","F",0
475,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/3),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(b*tan(d*x + c) + a)^(1/3), x)","F",0
476,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(2/3),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(b*tan(d*x + c) + a)^(2/3), x)","F",0
477,1,910,0,0.888222," ","integrate((-tan(f*x+e)+I)/(c+d*tan(f*x+e))^(1/3),x, algorithm=""giac"")","-\frac{{\left(c - i \, d\right)}^{\frac{2}{3}} \log\left({\left(d \tan\left(f x + e\right) + c\right)}^{\frac{1}{3}} - {\left(c - i \, d\right)}^{\frac{1}{3}}\right)}{c f - i \, d f} - \frac{{\left(\sqrt{3} {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} c \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} - \sqrt{3} {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} c \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + 2 \, {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} c \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right) \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(d \tan\left(f x + e\right) + c\right)}^{\frac{1}{3}} + {\left(c - i \, d\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(c - i \, d\right)}^{\frac{1}{3}}}\right)}{{\left(c^{2} + d^{2}\right)} f} - \frac{i \, {\left(\sqrt{3} {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} d \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} - \sqrt{3} {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} d \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + 2 \, {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} d \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right) \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)\right)} \arctan\left(\frac{\sqrt{3} {\left(2 \, {\left(d \tan\left(f x + e\right) + c\right)}^{\frac{1}{3}} + {\left(c - i \, d\right)}^{\frac{1}{3}}\right)}}{3 \, {\left(c - i \, d\right)}^{\frac{1}{3}}}\right)}{{\left(c^{2} + d^{2}\right)} f} - \frac{{\left(2 \, \sqrt{3} {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} c \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right) \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right) - {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} c \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} c \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2}\right)} \log\left({\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + {\left(d \tan\left(f x + e\right) + c\right)}^{\frac{2}{3}} + {\left(d \tan\left(f x + e\right) + c\right)}^{\frac{1}{3}} {\left(c - i \, d\right)}^{\frac{1}{3}}\right)}{2 \, {\left(c^{2} + d^{2}\right)} f} - \frac{i \, {\left(2 \, \sqrt{3} {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} d \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right) \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right) - {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} d \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} d \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2}\right)} \log\left({\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} \cos\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + {\left(c^{2} + d^{2}\right)}^{\frac{1}{3}} \sin\left(\frac{1}{6} \, \pi \mathrm{sgn}\left(c\right) \mathrm{sgn}\left(d\right) - \frac{1}{6} \, \pi \mathrm{sgn}\left(d\right) - \frac{1}{3} \, \arctan\left(\frac{d}{c}\right)\right)^{2} + {\left(d \tan\left(f x + e\right) + c\right)}^{\frac{2}{3}} + {\left(d \tan\left(f x + e\right) + c\right)}^{\frac{1}{3}} {\left(c - i \, d\right)}^{\frac{1}{3}}\right)}{2 \, {\left(c^{2} + d^{2}\right)} f}"," ",0,"-(c - I*d)^(2/3)*log((d*tan(f*x + e) + c)^(1/3) - (c - I*d)^(1/3))/(c*f - I*d*f) - (sqrt(3)*(c^2 + d^2)^(1/3)*c*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 - sqrt(3)*(c^2 + d^2)^(1/3)*c*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + 2*(c^2 + d^2)^(1/3)*c*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c)))*arctan(1/3*sqrt(3)*(2*(d*tan(f*x + e) + c)^(1/3) + (c - I*d)^(1/3))/(c - I*d)^(1/3))/((c^2 + d^2)*f) - I*(sqrt(3)*(c^2 + d^2)^(1/3)*d*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 - sqrt(3)*(c^2 + d^2)^(1/3)*d*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + 2*(c^2 + d^2)^(1/3)*d*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c)))*arctan(1/3*sqrt(3)*(2*(d*tan(f*x + e) + c)^(1/3) + (c - I*d)^(1/3))/(c - I*d)^(1/3))/((c^2 + d^2)*f) - 1/2*(2*sqrt(3)*(c^2 + d^2)^(1/3)*c*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c)) - (c^2 + d^2)^(1/3)*c*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + (c^2 + d^2)^(1/3)*c*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2)*log((c^2 + d^2)^(1/3)*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + (c^2 + d^2)^(1/3)*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + (d*tan(f*x + e) + c)^(2/3) + (d*tan(f*x + e) + c)^(1/3)*(c - I*d)^(1/3))/((c^2 + d^2)*f) - 1/2*I*(2*sqrt(3)*(c^2 + d^2)^(1/3)*d*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c)) - (c^2 + d^2)^(1/3)*d*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + (c^2 + d^2)^(1/3)*d*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2)*log((c^2 + d^2)^(1/3)*cos(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + (c^2 + d^2)^(1/3)*sin(1/6*pi*sgn(c)*sgn(d) - 1/6*pi*sgn(d) - 1/3*arctan(d/c))^2 + (d*tan(f*x + e) + c)^(2/3) + (d*tan(f*x + e) + c)^(1/3)*(c - I*d)^(1/3))/((c^2 + d^2)*f)","B",0
478,0,0,0,0.000000," ","integrate((d-c*tan(f*x+e))/(c+d*tan(f*x+e))^(2/3),x, algorithm=""giac"")","\mathit{undef}"," ",0,"undef","F",0
479,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))^4*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{4} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^4*tan(d*x + c)^m, x)","F",0
480,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3*tan(d*x + c)^m, x)","F",0
481,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2*tan(d*x + c)^m, x)","F",0
482,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)*tan(d*x + c)^m, x)","F",0
483,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{b \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(b*tan(d*x + c) + a), x)","F",0
484,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(b \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(b*tan(d*x + c) + a)^2, x)","F",0
485,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(b \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(b*tan(d*x + c) + a)^3, x)","F",0
486,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^4,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \tan\left(d x + c\right)^{m}}{{\left(b \tan\left(d x + c\right) + a\right)}^{4}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*tan(d*x + c)^m/(b*tan(d*x + c) + a)^4, x)","F",0
487,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
488,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
489,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
490,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
491,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
492,-1,0,0,0.000000," ","integrate(tan(d*x+c)^m*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
493,0,0,0,0.000000," ","integrate(tan(d*x+c)^m*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*tan(d*x + c)^m, x)","F",0
494,0,0,0,0.000000," ","integrate(tan(d*x+c)^4*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{4}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*tan(d*x + c)^4, x)","F",0
495,0,0,0,0.000000," ","integrate(tan(d*x+c)^3*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*tan(d*x + c)^3, x)","F",0
496,0,0,0,0.000000," ","integrate(tan(d*x+c)^2*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*tan(d*x + c)^2, x)","F",0
497,0,0,0,0.000000," ","integrate(tan(d*x+c)*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \tan\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*tan(d*x + c), x)","F",0
498,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n, x)","F",0
499,0,0,0,0.000000," ","integrate(cot(d*x+c)*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*cot(d*x + c), x)","F",0
500,0,0,0,0.000000," ","integrate(cot(d*x+c)^2*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{2}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*cot(d*x + c)^2, x)","F",0
501,0,0,0,0.000000," ","integrate(cot(d*x+c)^3*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{3}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*cot(d*x + c)^3, x)","F",0
502,0,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*cot(d*x + c)^(7/2), x)","F",0
503,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*cot(d*x + c)^(5/2), x)","F",0
504,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*cot(d*x + c)^(3/2), x)","F",0
505,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)*sqrt(cot(d*x + c)), x)","F",0
506,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)/sqrt(cot(d*x + c)), x)","F",0
507,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}}{\cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)/cot(d*x + c)^(3/2), x)","F",0
508,0,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*cot(d*x + c)^(7/2), x)","F",0
509,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*cot(d*x + c)^(5/2), x)","F",0
510,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*cot(d*x + c)^(3/2), x)","F",0
511,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2*sqrt(cot(d*x + c)), x)","F",0
512,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^2*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^2/sqrt(cot(d*x + c)), x)","F",0
513,0,0,0,0.000000," ","integrate(cot(d*x+c)^(9/2)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{9}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3*cot(d*x + c)^(9/2), x)","F",0
514,0,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3*cot(d*x + c)^(7/2), x)","F",0
515,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3*cot(d*x + c)^(5/2), x)","F",0
516,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3*cot(d*x + c)^(3/2), x)","F",0
517,-2,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Evaluation time: 1.56Not invertible Error: Bad Argument Value","F(-2)",0
518,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^3*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^3/sqrt(cot(d*x + c)), x)","F",0
519,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{5}{2}}}{i \, a \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(5/2)/(I*a*tan(d*x + c) + a), x)","F",0
520,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{i \, a \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a), x)","F",0
521,-2,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Not invertible Error: Bad Argument Value","F(-2)",0
522,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)*sqrt(cot(d*x + c))), x)","F",0
523,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)*cot(d*x + c)^(3/2)), x)","F",0
524,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+I*a*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)*cot(d*x + c)^(5/2)), x)","F",0
525,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^2, x)","F",0
526,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\cot\left(d x + c\right)}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(cot(d*x + c))/(I*a*tan(d*x + c) + a)^2, x)","F",0
527,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^2*sqrt(cot(d*x + c))), x)","F",0
528,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^2*cot(d*x + c)^(3/2)), x)","F",0
529,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^2*cot(d*x + c)^(5/2)), x)","F",0
530,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^3, x)","F",0
531,-2,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred running a Giac command:INPUT:sage2:=int(sage0,x):;OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Evaluation time: 1.18Not invertible Error: Bad Argument Value","F(-2)",0
532,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^3*sqrt(cot(d*x + c))), x)","F",0
533,-2,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\text{Exception raised: RuntimeError}"," ",0,"Exception raised: RuntimeError >> An error occurred running a Giac command:INPUT:sage2OUTPUT:Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Unable to check sign: (2*pi/x/2)>(-2*pi/x/2)Evaluation time: 3.8Not invertible Error: Bad Argument Value","F(-2)",0
534,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^3*cot(d*x + c)^(5/2)), x)","F",0
535,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(7/2)/(a+I*a*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^3*cot(d*x + c)^(7/2)), x)","F",0
536,0,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \cot\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*cot(d*x + c)^(7/2), x)","F",0
537,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*cot(d*x + c)^(5/2), x)","F",0
538,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*cot(d*x + c)^(3/2), x)","F",0
539,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)*sqrt(cot(d*x + c)), x)","F",0
540,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{i \, a \tan\left(d x + c\right) + a}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(I*a*tan(d*x + c) + a)/sqrt(cot(d*x + c)), x)","F",0
541,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(9/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
542,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
543,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
544,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)*cot(d*x + c)^(3/2), x)","F",0
545,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)*sqrt(cot(d*x + c)), x)","F",0
546,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(3/2)/sqrt(cot(d*x + c)), x)","F",0
547,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(11/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
548,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(9/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
549,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
550,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c)^(5/2), x)","F",0
551,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c)^(3/2), x)","F",0
552,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)*sqrt(cot(d*x + c)), x)","F",0
553,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^(5/2)/sqrt(cot(d*x + c)), x)","F",0
554,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{5}{2}}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(5/2)/sqrt(I*a*tan(d*x + c) + a), x)","F",0
555,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/sqrt(I*a*tan(d*x + c) + a), x)","F",0
556,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\cot\left(d x + c\right)}}{\sqrt{i \, a \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(cot(d*x + c))/sqrt(I*a*tan(d*x + c) + a), x)","F",0
557,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{\sqrt{i \, a \tan\left(d x + c\right) + a} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/(sqrt(I*a*tan(d*x + c) + a)*sqrt(cot(d*x + c))), x)","F",0
558,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
559,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\cot\left(d x + c\right)}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(cot(d*x + c))/(I*a*tan(d*x + c) + a)^(3/2), x)","F",0
560,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(3/2)*sqrt(cot(d*x + c))), x)","F",0
561,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(3/2)*cot(d*x + c)^(3/2)), x)","F",0
562,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
563,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\cot\left(d x + c\right)}}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(cot(d*x + c))/(I*a*tan(d*x + c) + a)^(5/2), x)","F",0
564,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(5/2)*sqrt(cot(d*x + c))), x)","F",0
565,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(i \, a \tan\left(d x + c\right) + a\right)}^{\frac{5}{2}} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((I*a*tan(d*x + c) + a)^(5/2)*cot(d*x + c)^(3/2)), x)","F",0
566,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+I*a*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
567,0,0,0,0.000000," ","integrate(cot(d*x+c)^m*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*cot(d*x + c)^m, x)","F",0
568,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*cot(d*x + c)^(5/2), x)","F",0
569,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*cot(d*x + c)^(3/2), x)","F",0
570,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n*sqrt(cot(d*x + c)), x)","F",0
571,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n/sqrt(cot(d*x + c)), x)","F",0
572,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n}}{\cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n/cot(d*x + c)^(3/2), x)","F",0
573,0,0,0,0.000000," ","integrate((a+I*a*tan(d*x+c))^n*(A+B*tan(d*x+c))/cot(d*x+c)^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(i \, a \tan\left(d x + c\right) + a\right)}^{n}}{\cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(I*a*tan(d*x + c) + a)^n/cot(d*x + c)^(5/2), x)","F",0
574,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)*cot(d*x + c)^(5/2), x)","F",0
575,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)*cot(d*x + c)^(3/2), x)","F",0
576,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)*sqrt(cot(d*x + c)), x)","F",0
577,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)/sqrt(cot(d*x + c)), x)","F",0
578,0,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2*cot(d*x + c)^(7/2), x)","F",0
579,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2*cot(d*x + c)^(5/2), x)","F",0
580,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2*cot(d*x + c)^(3/2), x)","F",0
581,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^2*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2*sqrt(cot(d*x + c)), x)","F",0
582,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^2*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{2}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^2/sqrt(cot(d*x + c)), x)","F",0
583,0,0,0,0.000000," ","integrate(cot(d*x+c)^(9/2)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{9}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3*cot(d*x + c)^(9/2), x)","F",0
584,0,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{7}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3*cot(d*x + c)^(7/2), x)","F",0
585,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{5}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3*cot(d*x + c)^(5/2), x)","F",0
586,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3*cot(d*x + c)^(3/2), x)","F",0
587,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^3*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3*sqrt(cot(d*x + c)), x)","F",0
588,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^3*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{3}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^3/sqrt(cot(d*x + c)), x)","F",0
589,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{5}{2}}}{b \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(5/2)/(b*tan(d*x + c) + a), x)","F",0
590,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{b \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(b*tan(d*x + c) + a), x)","F",0
591,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\cot\left(d x + c\right)}}{b \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(cot(d*x + c))/(b*tan(d*x + c) + a), x)","F",0
592,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)*sqrt(cot(d*x + c))), x)","F",0
593,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)*cot(d*x + c)^(3/2)), x)","F",0
594,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)*cot(d*x + c)^(5/2)), x)","F",0
595,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{{\left(b \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(b*tan(d*x + c) + a)^2, x)","F",0
596,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\cot\left(d x + c\right)}}{{\left(b \tan\left(d x + c\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(cot(d*x + c))/(b*tan(d*x + c) + a)^2, x)","F",0
597,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^2*sqrt(cot(d*x + c))), x)","F",0
598,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^2*cot(d*x + c)^(3/2)), x)","F",0
599,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+b*tan(d*x+c))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{2} \cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^2*cot(d*x + c)^(5/2)), x)","F",0
600,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{{\left(b \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(b*tan(d*x + c) + a)^3, x)","F",0
601,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \sqrt{\cot\left(d x + c\right)}}{{\left(b \tan\left(d x + c\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*sqrt(cot(d*x + c))/(b*tan(d*x + c) + a)^3, x)","F",0
602,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{3} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^3*sqrt(cot(d*x + c))), x)","F",0
603,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^3*cot(d*x + c)^(3/2)), x)","F",0
604,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^3*cot(d*x + c)^(5/2)), x)","F",0
605,0,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(7/2)/(a+b*tan(d*x+c))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(d x + c\right) + A}{{\left(b \tan\left(d x + c\right) + a\right)}^{3} \cot\left(d x + c\right)^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)/((b*tan(d*x + c) + a)^3*cot(d*x + c)^(7/2)), x)","F",0
606,0,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B b \tan\left(d x + c\right) + B a\right)} \cot\left(d x + c\right)^{\frac{5}{2}}}{b \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)*cot(d*x + c)^(5/2)/(b*tan(d*x + c) + a), x)","F",0
607,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B b \tan\left(d x + c\right) + B a\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{b \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)*cot(d*x + c)^(3/2)/(b*tan(d*x + c) + a), x)","F",0
608,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{{\left(B b \tan\left(d x + c\right) + B a\right)} \sqrt{\cot\left(d x + c\right)}}{b \tan\left(d x + c\right) + a}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)*sqrt(cot(d*x + c))/(b*tan(d*x + c) + a), x)","F",0
609,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)} \sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)*sqrt(cot(d*x + c))), x)","F",0
610,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)*cot(d*x + c)^(3/2)), x)","F",0
611,0,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+b*tan(d*x+c)),x, algorithm=""giac"")","\int \frac{B b \tan\left(d x + c\right) + B a}{{\left(b \tan\left(d x + c\right) + a\right)} \cot\left(d x + c\right)^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*b*tan(d*x + c) + B*a)/((b*tan(d*x + c) + a)*cot(d*x + c)^(5/2)), x)","F",0
612,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(9/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
613,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
614,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
615,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
616,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
617,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
618,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(1/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
619,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(11/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
620,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(9/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
621,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
622,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
623,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
624,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
625,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
626,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(3/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
627,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(13/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
628,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(11/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
629,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(9/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
630,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
631,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
632,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
633,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
634,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
635,-1,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^(5/2)*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
636,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(7/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
637,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
638,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{\sqrt{b \tan\left(d x + c\right) + a}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/sqrt(b*tan(d*x + c) + a), x)","F",0
639,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
640,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
641,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(1/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
642,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
643,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} \cot\left(d x + c\right)^{\frac{3}{2}}}{{\left(b \tan\left(d x + c\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*cot(d*x + c)^(3/2)/(b*tan(d*x + c) + a)^(3/2), x)","F",0
644,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
645,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
646,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
647,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(5/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
648,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
649,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(A+B*tan(d*x+c))/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
650,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
651,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
652,-1,0,0,0.000000," ","integrate((A+B*tan(d*x+c))/cot(d*x+c)^(5/2)/(a+b*tan(d*x+c))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
653,-1,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a*B+b*B*tan(d*x+c))/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
654,-1,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/cot(d*x+c)^(1/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
655,-1,0,0,0.000000," ","integrate((a*B+b*B*tan(d*x+c))/cot(d*x+c)^(3/2)/(a+b*tan(d*x+c))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
656,0,0,0,0.000000," ","integrate(cot(d*x+c)^m*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{m}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*cot(d*x + c)^m, x)","F",0
657,0,0,0,0.000000," ","integrate(cot(d*x+c)^(3/2)*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \cot\left(d x + c\right)^{\frac{3}{2}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*cot(d*x + c)^(3/2), x)","F",0
658,0,0,0,0.000000," ","integrate(cot(d*x+c)^(1/2)*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\int {\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n} \sqrt{\cot\left(d x + c\right)}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n*sqrt(cot(d*x + c)), x)","F",0
659,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^n*(A+B*tan(d*x+c))/cot(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n}}{\sqrt{\cot\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n/sqrt(cot(d*x + c)), x)","F",0
660,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^n*(A+B*tan(d*x+c))/cot(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n}}{\cot\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n/cot(d*x + c)^(3/2), x)","F",0
661,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(3/2)*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
662,-1,0,0,0.000000," ","integrate(tan(d*x+c)^(1/2)*(a+b*tan(d*x+c))^n*(A+B*tan(d*x+c)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
663,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^n*(A+B*tan(d*x+c))/tan(d*x+c)^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n}}{\sqrt{\tan\left(d x + c\right)}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n/sqrt(tan(d*x + c)), x)","F",0
664,0,0,0,0.000000," ","integrate((a+b*tan(d*x+c))^n*(A+B*tan(d*x+c))/tan(d*x+c)^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(d x + c\right) + A\right)} {\left(b \tan\left(d x + c\right) + a\right)}^{n}}{\tan\left(d x + c\right)^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(d*x + c) + A)*(b*tan(d*x + c) + a)^n/tan(d*x + c)^(3/2), x)","F",0
665,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)*(-I*c*tan(f*x + e) + c)^n, x)","F",0
666,1,119,0,2.259568," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","\frac{20 i \, A a c^{4} e^{\left(2 i \, f x + 2 i \, e\right)} + 20 \, B a c^{4} e^{\left(2 i \, f x + 2 i \, e\right)} + 20 i \, A a c^{4} - 12 \, B a c^{4}}{5 \, {\left(f e^{\left(10 i \, f x + 10 i \, e\right)} + 5 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 10 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 10 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 5 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/5*(20*I*A*a*c^4*e^(2*I*f*x + 2*I*e) + 20*B*a*c^4*e^(2*I*f*x + 2*I*e) + 20*I*A*a*c^4 - 12*B*a*c^4)/(f*e^(10*I*f*x + 10*I*e) + 5*f*e^(8*I*f*x + 8*I*e) + 10*f*e^(6*I*f*x + 6*I*e) + 10*f*e^(4*I*f*x + 4*I*e) + 5*f*e^(2*I*f*x + 2*I*e) + f)","B",0
667,1,106,0,2.290648," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{8 i \, A a c^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 8 \, B a c^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 8 i \, A a c^{3} - 4 \, B a c^{3}}{3 \, {\left(f e^{\left(8 i \, f x + 8 i \, e\right)} + 4 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 6 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 4 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/3*(8*I*A*a*c^3*e^(2*I*f*x + 2*I*e) + 8*B*a*c^3*e^(2*I*f*x + 2*I*e) + 8*I*A*a*c^3 - 4*B*a*c^3)/(f*e^(8*I*f*x + 8*I*e) + 4*f*e^(6*I*f*x + 6*I*e) + 6*f*e^(4*I*f*x + 4*I*e) + 4*f*e^(2*I*f*x + 2*I*e) + f)","B",0
668,1,93,0,1.201081," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{6 i \, A a c^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 6 \, B a c^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 6 i \, A a c^{2} - 2 \, B a c^{2}}{3 \, {\left(f e^{\left(6 i \, f x + 6 i \, e\right)} + 3 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 3 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/3*(6*I*A*a*c^2*e^(2*I*f*x + 2*I*e) + 6*B*a*c^2*e^(2*I*f*x + 2*I*e) + 6*I*A*a*c^2 - 2*B*a*c^2)/(f*e^(6*I*f*x + 6*I*e) + 3*f*e^(4*I*f*x + 4*I*e) + 3*f*e^(2*I*f*x + 2*I*e) + f)","A",0
669,1,113,0,0.972520," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{B a c \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 2 \, A a c \tan\left(f x\right)^{2} \tan\left(e\right) - 2 \, A a c \tan\left(f x\right) \tan\left(e\right)^{2} + B a c \tan\left(f x\right)^{2} + B a c \tan\left(e\right)^{2} + 2 \, A a c \tan\left(f x\right) + 2 \, A a c \tan\left(e\right) + B a c}{2 \, {\left(f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 2 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"1/2*(B*a*c*tan(f*x)^2*tan(e)^2 - 2*A*a*c*tan(f*x)^2*tan(e) - 2*A*a*c*tan(f*x)*tan(e)^2 + B*a*c*tan(f*x)^2 + B*a*c*tan(e)^2 + 2*A*a*c*tan(f*x) + 2*A*a*c*tan(e) + B*a*c)/(f*tan(f*x)^2*tan(e)^2 - 2*f*tan(f*x)*tan(e) + f)","B",0
670,1,110,0,0.739761," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\frac{-i \, A a e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - B a e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - i \, A a \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - B a \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 2 \, B a}{f e^{\left(2 i \, f x + 2 i \, e\right)} + f}"," ",0,"(-I*A*a*e^(2*I*f*x + 2*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - B*a*e^(2*I*f*x + 2*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - I*A*a*log(e^(2*I*f*x + 2*I*e) + 1) - B*a*log(e^(2*I*f*x + 2*I*e) + 1) - 2*B*a)/(f*e^(2*I*f*x + 2*I*e) + f)","B",0
671,1,130,0,0.909374," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{\frac{B a \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{c} - \frac{2 \, B a \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}{c} + \frac{B a \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{c} + \frac{3 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 8 i \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 3 \, B a}{c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{2}}}{f}"," ",0,"(B*a*log(tan(1/2*f*x + 1/2*e) + 1)/c - 2*B*a*log(tan(1/2*f*x + 1/2*e) + I)/c + B*a*log(tan(1/2*f*x + 1/2*e) - 1)/c + (3*B*a*tan(1/2*f*x + 1/2*e)^2 - 2*A*a*tan(1/2*f*x + 1/2*e) + 8*I*B*a*tan(1/2*f*x + 1/2*e) - 3*B*a)/(c*(tan(1/2*f*x + 1/2*e) + I)^2))/f","B",0
672,1,84,0,1.258728," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{c^{2} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{4}}"," ",0,"-2*(A*a*tan(1/2*f*x + 1/2*e)^3 + I*A*a*tan(1/2*f*x + 1/2*e)^2 - B*a*tan(1/2*f*x + 1/2*e)^2 - A*a*tan(1/2*f*x + 1/2*e))/(c^2*f*(tan(1/2*f*x + 1/2*e) + I)^4)","B",0
673,1,149,0,2.041757," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 6 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 3 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 10 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 i \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 6 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{3 \, c^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{6}}"," ",0,"-2/3*(3*A*a*tan(1/2*f*x + 1/2*e)^5 + 6*I*A*a*tan(1/2*f*x + 1/2*e)^4 - 3*B*a*tan(1/2*f*x + 1/2*e)^4 - 10*A*a*tan(1/2*f*x + 1/2*e)^3 - 2*I*B*a*tan(1/2*f*x + 1/2*e)^3 - 6*I*A*a*tan(1/2*f*x + 1/2*e)^2 + 3*B*a*tan(1/2*f*x + 1/2*e)^2 + 3*A*a*tan(1/2*f*x + 1/2*e))/(c^3*f*(tan(1/2*f*x + 1/2*e) + I)^6)","B",0
674,1,213,0,2.680082," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 9 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 3 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 21 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 4 i \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 24 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 8 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 21 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4 i \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 9 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{3 \, c^{4} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{8}}"," ",0,"-2/3*(3*A*a*tan(1/2*f*x + 1/2*e)^7 + 9*I*A*a*tan(1/2*f*x + 1/2*e)^6 - 3*B*a*tan(1/2*f*x + 1/2*e)^6 - 21*A*a*tan(1/2*f*x + 1/2*e)^5 - 4*I*B*a*tan(1/2*f*x + 1/2*e)^5 - 24*I*A*a*tan(1/2*f*x + 1/2*e)^4 + 8*B*a*tan(1/2*f*x + 1/2*e)^4 + 21*A*a*tan(1/2*f*x + 1/2*e)^3 + 4*I*B*a*tan(1/2*f*x + 1/2*e)^3 + 9*I*A*a*tan(1/2*f*x + 1/2*e)^2 - 3*B*a*tan(1/2*f*x + 1/2*e)^2 - 3*A*a*tan(1/2*f*x + 1/2*e))/(c^4*f*(tan(1/2*f*x + 1/2*e) + I)^8)","B",0
675,1,277,0,3.566708," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^5,x, algorithm=""giac"")","-\frac{2 \, {\left(5 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 20 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 5 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 60 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 10 i \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 100 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 25 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 126 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 24 i \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 100 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 25 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 60 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 10 i \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 20 i \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, B a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, A a \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{5 \, c^{5} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{10}}"," ",0,"-2/5*(5*A*a*tan(1/2*f*x + 1/2*e)^9 + 20*I*A*a*tan(1/2*f*x + 1/2*e)^8 - 5*B*a*tan(1/2*f*x + 1/2*e)^8 - 60*A*a*tan(1/2*f*x + 1/2*e)^7 - 10*I*B*a*tan(1/2*f*x + 1/2*e)^7 - 100*I*A*a*tan(1/2*f*x + 1/2*e)^6 + 25*B*a*tan(1/2*f*x + 1/2*e)^6 + 126*A*a*tan(1/2*f*x + 1/2*e)^5 + 24*I*B*a*tan(1/2*f*x + 1/2*e)^5 + 100*I*A*a*tan(1/2*f*x + 1/2*e)^4 - 25*B*a*tan(1/2*f*x + 1/2*e)^4 - 60*A*a*tan(1/2*f*x + 1/2*e)^3 - 10*I*B*a*tan(1/2*f*x + 1/2*e)^3 - 20*I*A*a*tan(1/2*f*x + 1/2*e)^2 + 5*B*a*tan(1/2*f*x + 1/2*e)^2 + 5*A*a*tan(1/2*f*x + 1/2*e))/(c^5*f*(tan(1/2*f*x + 1/2*e) + I)^10)","B",0
676,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{2} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^2*(-I*c*tan(f*x + e) + c)^n, x)","F",0
677,1,191,0,4.131220," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^5,x, algorithm=""giac"")","\frac{1344 i \, A a^{2} c^{5} e^{\left(4 i \, f x + 4 i \, e\right)} + 1344 \, B a^{2} c^{5} e^{\left(4 i \, f x + 4 i \, e\right)} + 1568 i \, A a^{2} c^{5} e^{\left(2 i \, f x + 2 i \, e\right)} - 672 \, B a^{2} c^{5} e^{\left(2 i \, f x + 2 i \, e\right)} + 224 i \, A a^{2} c^{5} - 96 \, B a^{2} c^{5}}{105 \, {\left(f e^{\left(14 i \, f x + 14 i \, e\right)} + 7 \, f e^{\left(12 i \, f x + 12 i \, e\right)} + 21 \, f e^{\left(10 i \, f x + 10 i \, e\right)} + 35 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 35 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 21 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 7 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/105*(1344*I*A*a^2*c^5*e^(4*I*f*x + 4*I*e) + 1344*B*a^2*c^5*e^(4*I*f*x + 4*I*e) + 1568*I*A*a^2*c^5*e^(2*I*f*x + 2*I*e) - 672*B*a^2*c^5*e^(2*I*f*x + 2*I*e) + 224*I*A*a^2*c^5 - 96*B*a^2*c^5)/(f*e^(14*I*f*x + 14*I*e) + 7*f*e^(12*I*f*x + 12*I*e) + 21*f*e^(10*I*f*x + 10*I*e) + 35*f*e^(8*I*f*x + 8*I*e) + 35*f*e^(6*I*f*x + 6*I*e) + 21*f*e^(4*I*f*x + 4*I*e) + 7*f*e^(2*I*f*x + 2*I*e) + f)","B",0
678,1,178,0,3.154643," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","\frac{120 i \, A a^{2} c^{4} e^{\left(4 i \, f x + 4 i \, e\right)} + 120 \, B a^{2} c^{4} e^{\left(4 i \, f x + 4 i \, e\right)} + 144 i \, A a^{2} c^{4} e^{\left(2 i \, f x + 2 i \, e\right)} - 48 \, B a^{2} c^{4} e^{\left(2 i \, f x + 2 i \, e\right)} + 24 i \, A a^{2} c^{4} - 8 \, B a^{2} c^{4}}{15 \, {\left(f e^{\left(12 i \, f x + 12 i \, e\right)} + 6 \, f e^{\left(10 i \, f x + 10 i \, e\right)} + 15 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 20 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 15 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 6 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/15*(120*I*A*a^2*c^4*e^(4*I*f*x + 4*I*e) + 120*B*a^2*c^4*e^(4*I*f*x + 4*I*e) + 144*I*A*a^2*c^4*e^(2*I*f*x + 2*I*e) - 48*B*a^2*c^4*e^(2*I*f*x + 2*I*e) + 24*I*A*a^2*c^4 - 8*B*a^2*c^4)/(f*e^(12*I*f*x + 12*I*e) + 6*f*e^(10*I*f*x + 10*I*e) + 15*f*e^(8*I*f*x + 8*I*e) + 20*f*e^(6*I*f*x + 6*I*e) + 15*f*e^(4*I*f*x + 4*I*e) + 6*f*e^(2*I*f*x + 2*I*e) + f)","B",0
679,1,165,0,2.253329," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{80 i \, A a^{2} c^{3} e^{\left(4 i \, f x + 4 i \, e\right)} + 80 \, B a^{2} c^{3} e^{\left(4 i \, f x + 4 i \, e\right)} + 100 i \, A a^{2} c^{3} e^{\left(2 i \, f x + 2 i \, e\right)} - 20 \, B a^{2} c^{3} e^{\left(2 i \, f x + 2 i \, e\right)} + 20 i \, A a^{2} c^{3} - 4 \, B a^{2} c^{3}}{15 \, {\left(f e^{\left(10 i \, f x + 10 i \, e\right)} + 5 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 10 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 10 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 5 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/15*(80*I*A*a^2*c^3*e^(4*I*f*x + 4*I*e) + 80*B*a^2*c^3*e^(4*I*f*x + 4*I*e) + 100*I*A*a^2*c^3*e^(2*I*f*x + 2*I*e) - 20*B*a^2*c^3*e^(2*I*f*x + 2*I*e) + 20*I*A*a^2*c^3 - 4*B*a^2*c^3)/(f*e^(10*I*f*x + 10*I*e) + 5*f*e^(8*I*f*x + 8*I*e) + 10*f*e^(6*I*f*x + 6*I*e) + 10*f*e^(4*I*f*x + 4*I*e) + 5*f*e^(2*I*f*x + 2*I*e) + f)","A",0
680,1,411,0,1.866194," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{3 \, B a^{2} c^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 12 \, A a^{2} c^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 12 \, A a^{2} c^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 6 \, B a^{2} c^{2} \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 6 \, B a^{2} c^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{4} - 4 \, A a^{2} c^{2} \tan\left(f x\right)^{4} \tan\left(e\right) + 24 \, A a^{2} c^{2} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 24 \, A a^{2} c^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 4 \, A a^{2} c^{2} \tan\left(f x\right) \tan\left(e\right)^{4} + 3 \, B a^{2} c^{2} \tan\left(f x\right)^{4} + 12 \, B a^{2} c^{2} \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 3 \, B a^{2} c^{2} \tan\left(e\right)^{4} + 4 \, A a^{2} c^{2} \tan\left(f x\right)^{3} - 24 \, A a^{2} c^{2} \tan\left(f x\right)^{2} \tan\left(e\right) - 24 \, A a^{2} c^{2} \tan\left(f x\right) \tan\left(e\right)^{2} + 4 \, A a^{2} c^{2} \tan\left(e\right)^{3} + 6 \, B a^{2} c^{2} \tan\left(f x\right)^{2} + 6 \, B a^{2} c^{2} \tan\left(e\right)^{2} + 12 \, A a^{2} c^{2} \tan\left(f x\right) + 12 \, A a^{2} c^{2} \tan\left(e\right) + 3 \, B a^{2} c^{2}}{12 \, {\left(f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 4 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 6 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 4 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"1/12*(3*B*a^2*c^2*tan(f*x)^4*tan(e)^4 - 12*A*a^2*c^2*tan(f*x)^4*tan(e)^3 - 12*A*a^2*c^2*tan(f*x)^3*tan(e)^4 + 6*B*a^2*c^2*tan(f*x)^4*tan(e)^2 + 6*B*a^2*c^2*tan(f*x)^2*tan(e)^4 - 4*A*a^2*c^2*tan(f*x)^4*tan(e) + 24*A*a^2*c^2*tan(f*x)^3*tan(e)^2 + 24*A*a^2*c^2*tan(f*x)^2*tan(e)^3 - 4*A*a^2*c^2*tan(f*x)*tan(e)^4 + 3*B*a^2*c^2*tan(f*x)^4 + 12*B*a^2*c^2*tan(f*x)^2*tan(e)^2 + 3*B*a^2*c^2*tan(e)^4 + 4*A*a^2*c^2*tan(f*x)^3 - 24*A*a^2*c^2*tan(f*x)^2*tan(e) - 24*A*a^2*c^2*tan(f*x)*tan(e)^2 + 4*A*a^2*c^2*tan(e)^3 + 6*B*a^2*c^2*tan(f*x)^2 + 6*B*a^2*c^2*tan(e)^2 + 12*A*a^2*c^2*tan(f*x) + 12*A*a^2*c^2*tan(e) + 3*B*a^2*c^2)/(f*tan(f*x)^4*tan(e)^4 - 4*f*tan(f*x)^3*tan(e)^3 + 6*f*tan(f*x)^2*tan(e)^2 - 4*f*tan(f*x)*tan(e) + f)","B",0
681,1,127,0,1.284259," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{12 i \, A a^{2} c e^{\left(4 i \, f x + 4 i \, e\right)} + 12 \, B a^{2} c e^{\left(4 i \, f x + 4 i \, e\right)} + 18 i \, A a^{2} c e^{\left(2 i \, f x + 2 i \, e\right)} + 6 \, B a^{2} c e^{\left(2 i \, f x + 2 i \, e\right)} + 6 i \, A a^{2} c + 2 \, B a^{2} c}{3 \, {\left(f e^{\left(6 i \, f x + 6 i \, e\right)} + 3 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 3 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/3*(12*I*A*a^2*c*e^(4*I*f*x + 4*I*e) + 12*B*a^2*c*e^(4*I*f*x + 4*I*e) + 18*I*A*a^2*c*e^(2*I*f*x + 2*I*e) + 6*B*a^2*c*e^(2*I*f*x + 2*I*e) + 6*I*A*a^2*c + 2*B*a^2*c)/(f*e^(6*I*f*x + 6*I*e) + 3*f*e^(4*I*f*x + 4*I*e) + 3*f*e^(2*I*f*x + 2*I*e) + f)","B",0
682,1,229,0,1.185444," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\frac{-2 i \, A a^{2} e^{\left(4 i \, f x + 4 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 2 \, B a^{2} e^{\left(4 i \, f x + 4 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 4 i \, A a^{2} e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 4 \, B a^{2} e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 2 i \, A a^{2} e^{\left(2 i \, f x + 2 i \, e\right)} - 6 \, B a^{2} e^{\left(2 i \, f x + 2 i \, e\right)} - 2 i \, A a^{2} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 2 \, B a^{2} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 2 i \, A a^{2} - 4 \, B a^{2}}{f e^{\left(4 i \, f x + 4 i \, e\right)} + 2 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f}"," ",0,"(-2*I*A*a^2*e^(4*I*f*x + 4*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 2*B*a^2*e^(4*I*f*x + 4*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 4*I*A*a^2*e^(2*I*f*x + 2*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 4*B*a^2*e^(2*I*f*x + 2*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 2*I*A*a^2*e^(2*I*f*x + 2*I*e) - 6*B*a^2*e^(2*I*f*x + 2*I*e) - 2*I*A*a^2*log(e^(2*I*f*x + 2*I*e) + 1) - 2*B*a^2*log(e^(2*I*f*x + 2*I*e) + 1) - 2*I*A*a^2 - 4*B*a^2)/(f*e^(4*I*f*x + 4*I*e) + 2*f*e^(2*I*f*x + 2*I*e) + f)","B",0
683,1,283,0,1.413454," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{\frac{{\left(i \, A a^{2} + 3 \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{c} + \frac{2 \, {\left(-i \, A a^{2} - 3 \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}{c} - \frac{{\left(-i \, A a^{2} - 3 \, B a^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{c} - \frac{i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i \, A a^{2} - 3 \, B a^{2}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)} c} - \frac{-3 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 10 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 22 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 3 i \, A a^{2} + 9 \, B a^{2}}{c {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{2}}}{f}"," ",0,"((I*A*a^2 + 3*B*a^2)*log(tan(1/2*f*x + 1/2*e) + 1)/c + 2*(-I*A*a^2 - 3*B*a^2)*log(tan(1/2*f*x + 1/2*e) + I)/c - (-I*A*a^2 - 3*B*a^2)*log(tan(1/2*f*x + 1/2*e) - 1)/c - (I*A*a^2*tan(1/2*f*x + 1/2*e)^2 + 3*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 2*I*B*a^2*tan(1/2*f*x + 1/2*e) - I*A*a^2 - 3*B*a^2)/((tan(1/2*f*x + 1/2*e)^2 - 1)*c) - (-3*I*A*a^2*tan(1/2*f*x + 1/2*e)^2 - 9*B*a^2*tan(1/2*f*x + 1/2*e)^2 + 10*A*a^2*tan(1/2*f*x + 1/2*e) - 22*I*B*a^2*tan(1/2*f*x + 1/2*e) + 3*I*A*a^2 + 9*B*a^2)/(c*(tan(1/2*f*x + 1/2*e) + I)^2))/f","B",0
684,1,201,0,1.911263," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{6 \, B a^{2} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{c^{2}} - \frac{12 \, B a^{2} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}{c^{2}} + \frac{6 \, B a^{2} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{c^{2}} + \frac{25 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 12 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 112 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 198 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 12 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 112 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 25 \, B a^{2}}{c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{4}}}{6 \, f}"," ",0,"-1/6*(6*B*a^2*log(tan(1/2*f*x + 1/2*e) + 1)/c^2 - 12*B*a^2*log(tan(1/2*f*x + 1/2*e) + I)/c^2 + 6*B*a^2*log(tan(1/2*f*x + 1/2*e) - 1)/c^2 + (25*B*a^2*tan(1/2*f*x + 1/2*e)^4 + 12*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 112*I*B*a^2*tan(1/2*f*x + 1/2*e)^3 - 198*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 12*A*a^2*tan(1/2*f*x + 1/2*e) - 112*I*B*a^2*tan(1/2*f*x + 1/2*e) + 25*B*a^2)/(c^2*(tan(1/2*f*x + 1/2*e) + I)^4))/f","B",0
685,1,165,0,2.794445," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 3 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 3 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 8 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 3 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{3 \, c^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{6}}"," ",0,"-2/3*(3*A*a^2*tan(1/2*f*x + 1/2*e)^5 + 3*I*A*a^2*tan(1/2*f*x + 1/2*e)^4 - 3*B*a^2*tan(1/2*f*x + 1/2*e)^4 - 8*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 2*I*B*a^2*tan(1/2*f*x + 1/2*e)^3 - 3*I*A*a^2*tan(1/2*f*x + 1/2*e)^2 + 3*B*a^2*tan(1/2*f*x + 1/2*e)^2 + 3*A*a^2*tan(1/2*f*x + 1/2*e))/(c^3*f*(tan(1/2*f*x + 1/2*e) + I)^6)","B",0
686,1,201,0,3.873999," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 6 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 3 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 17 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 16 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 6 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 17 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 6 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{3 \, c^{4} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{8}}"," ",0,"-2/3*(3*A*a^2*tan(1/2*f*x + 1/2*e)^7 + 6*I*A*a^2*tan(1/2*f*x + 1/2*e)^6 - 3*B*a^2*tan(1/2*f*x + 1/2*e)^6 - 17*A*a^2*tan(1/2*f*x + 1/2*e)^5 - 16*I*A*a^2*tan(1/2*f*x + 1/2*e)^4 + 6*B*a^2*tan(1/2*f*x + 1/2*e)^4 + 17*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 6*I*A*a^2*tan(1/2*f*x + 1/2*e)^2 - 3*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 3*A*a^2*tan(1/2*f*x + 1/2*e))/(c^4*f*(tan(1/2*f*x + 1/2*e) + I)^8)","B",0
687,1,309,0,4.699096," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^5,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 45 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 15 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 150 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 10 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 225 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 55 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 306 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 24 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 225 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 55 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 150 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 10 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 45 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{15 \, c^{5} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{10}}"," ",0,"-2/15*(15*A*a^2*tan(1/2*f*x + 1/2*e)^9 + 45*I*A*a^2*tan(1/2*f*x + 1/2*e)^8 - 15*B*a^2*tan(1/2*f*x + 1/2*e)^8 - 150*A*a^2*tan(1/2*f*x + 1/2*e)^7 - 10*I*B*a^2*tan(1/2*f*x + 1/2*e)^7 - 225*I*A*a^2*tan(1/2*f*x + 1/2*e)^6 + 55*B*a^2*tan(1/2*f*x + 1/2*e)^6 + 306*A*a^2*tan(1/2*f*x + 1/2*e)^5 + 24*I*B*a^2*tan(1/2*f*x + 1/2*e)^5 + 225*I*A*a^2*tan(1/2*f*x + 1/2*e)^4 - 55*B*a^2*tan(1/2*f*x + 1/2*e)^4 - 150*A*a^2*tan(1/2*f*x + 1/2*e)^3 - 10*I*B*a^2*tan(1/2*f*x + 1/2*e)^3 - 45*I*A*a^2*tan(1/2*f*x + 1/2*e)^2 + 15*B*a^2*tan(1/2*f*x + 1/2*e)^2 + 15*A*a^2*tan(1/2*f*x + 1/2*e))/(c^5*f*(tan(1/2*f*x + 1/2*e) + I)^10)","B",0
688,1,381,0,5.623779," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^6,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 60 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 15 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 235 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} - 20 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} - 480 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 90 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 822 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 84 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 904 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 158 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 822 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 84 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 480 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 90 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 235 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 20 i \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 60 i \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, B a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, A a^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{15 \, c^{6} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{12}}"," ",0,"-2/15*(15*A*a^2*tan(1/2*f*x + 1/2*e)^11 + 60*I*A*a^2*tan(1/2*f*x + 1/2*e)^10 - 15*B*a^2*tan(1/2*f*x + 1/2*e)^10 - 235*A*a^2*tan(1/2*f*x + 1/2*e)^9 - 20*I*B*a^2*tan(1/2*f*x + 1/2*e)^9 - 480*I*A*a^2*tan(1/2*f*x + 1/2*e)^8 + 90*B*a^2*tan(1/2*f*x + 1/2*e)^8 + 822*A*a^2*tan(1/2*f*x + 1/2*e)^7 + 84*I*B*a^2*tan(1/2*f*x + 1/2*e)^7 + 904*I*A*a^2*tan(1/2*f*x + 1/2*e)^6 - 158*B*a^2*tan(1/2*f*x + 1/2*e)^6 - 822*A*a^2*tan(1/2*f*x + 1/2*e)^5 - 84*I*B*a^2*tan(1/2*f*x + 1/2*e)^5 - 480*I*A*a^2*tan(1/2*f*x + 1/2*e)^4 + 90*B*a^2*tan(1/2*f*x + 1/2*e)^4 + 235*A*a^2*tan(1/2*f*x + 1/2*e)^3 + 20*I*B*a^2*tan(1/2*f*x + 1/2*e)^3 + 60*I*A*a^2*tan(1/2*f*x + 1/2*e)^2 - 15*B*a^2*tan(1/2*f*x + 1/2*e)^2 - 15*A*a^2*tan(1/2*f*x + 1/2*e))/(c^6*f*(tan(1/2*f*x + 1/2*e) + I)^12)","B",0
689,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{3} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^3*(-I*c*tan(f*x + e) + c)^n, x)","F",0
690,1,255,0,4.461801," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^6,x, algorithm=""giac"")","\frac{2688 i \, A a^{3} c^{6} e^{\left(6 i \, f x + 6 i \, e\right)} + 2688 \, B a^{3} c^{6} e^{\left(6 i \, f x + 6 i \, e\right)} + 3456 i \, A a^{3} c^{6} e^{\left(4 i \, f x + 4 i \, e\right)} - 1152 \, B a^{3} c^{6} e^{\left(4 i \, f x + 4 i \, e\right)} + 864 i \, A a^{3} c^{6} e^{\left(2 i \, f x + 2 i \, e\right)} - 288 \, B a^{3} c^{6} e^{\left(2 i \, f x + 2 i \, e\right)} + 96 i \, A a^{3} c^{6} - 32 \, B a^{3} c^{6}}{63 \, {\left(f e^{\left(18 i \, f x + 18 i \, e\right)} + 9 \, f e^{\left(16 i \, f x + 16 i \, e\right)} + 36 \, f e^{\left(14 i \, f x + 14 i \, e\right)} + 84 \, f e^{\left(12 i \, f x + 12 i \, e\right)} + 126 \, f e^{\left(10 i \, f x + 10 i \, e\right)} + 126 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 84 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 36 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 9 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/63*(2688*I*A*a^3*c^6*e^(6*I*f*x + 6*I*e) + 2688*B*a^3*c^6*e^(6*I*f*x + 6*I*e) + 3456*I*A*a^3*c^6*e^(4*I*f*x + 4*I*e) - 1152*B*a^3*c^6*e^(4*I*f*x + 4*I*e) + 864*I*A*a^3*c^6*e^(2*I*f*x + 2*I*e) - 288*B*a^3*c^6*e^(2*I*f*x + 2*I*e) + 96*I*A*a^3*c^6 - 32*B*a^3*c^6)/(f*e^(18*I*f*x + 18*I*e) + 9*f*e^(16*I*f*x + 16*I*e) + 36*f*e^(14*I*f*x + 14*I*e) + 84*f*e^(12*I*f*x + 12*I*e) + 126*f*e^(10*I*f*x + 10*I*e) + 126*f*e^(8*I*f*x + 8*I*e) + 84*f*e^(6*I*f*x + 6*I*e) + 36*f*e^(4*I*f*x + 4*I*e) + 9*f*e^(2*I*f*x + 2*I*e) + f)","B",0
691,1,242,0,4.891752," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^5,x, algorithm=""giac"")","\frac{2688 i \, A a^{3} c^{5} e^{\left(6 i \, f x + 6 i \, e\right)} + 2688 \, B a^{3} c^{5} e^{\left(6 i \, f x + 6 i \, e\right)} + 3584 i \, A a^{3} c^{5} e^{\left(4 i \, f x + 4 i \, e\right)} - 896 \, B a^{3} c^{5} e^{\left(4 i \, f x + 4 i \, e\right)} + 1024 i \, A a^{3} c^{5} e^{\left(2 i \, f x + 2 i \, e\right)} - 256 \, B a^{3} c^{5} e^{\left(2 i \, f x + 2 i \, e\right)} + 128 i \, A a^{3} c^{5} - 32 \, B a^{3} c^{5}}{105 \, {\left(f e^{\left(16 i \, f x + 16 i \, e\right)} + 8 \, f e^{\left(14 i \, f x + 14 i \, e\right)} + 28 \, f e^{\left(12 i \, f x + 12 i \, e\right)} + 56 \, f e^{\left(10 i \, f x + 10 i \, e\right)} + 70 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 56 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 28 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 8 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/105*(2688*I*A*a^3*c^5*e^(6*I*f*x + 6*I*e) + 2688*B*a^3*c^5*e^(6*I*f*x + 6*I*e) + 3584*I*A*a^3*c^5*e^(4*I*f*x + 4*I*e) - 896*B*a^3*c^5*e^(4*I*f*x + 4*I*e) + 1024*I*A*a^3*c^5*e^(2*I*f*x + 2*I*e) - 256*B*a^3*c^5*e^(2*I*f*x + 2*I*e) + 128*I*A*a^3*c^5 - 32*B*a^3*c^5)/(f*e^(16*I*f*x + 16*I*e) + 8*f*e^(14*I*f*x + 14*I*e) + 28*f*e^(12*I*f*x + 12*I*e) + 56*f*e^(10*I*f*x + 10*I*e) + 70*f*e^(8*I*f*x + 8*I*e) + 56*f*e^(6*I*f*x + 6*I*e) + 28*f*e^(4*I*f*x + 4*I*e) + 8*f*e^(2*I*f*x + 2*I*e) + f)","B",0
692,1,229,0,3.861737," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","\frac{1680 i \, A a^{3} c^{4} e^{\left(6 i \, f x + 6 i \, e\right)} + 1680 \, B a^{3} c^{4} e^{\left(6 i \, f x + 6 i \, e\right)} + 2352 i \, A a^{3} c^{4} e^{\left(4 i \, f x + 4 i \, e\right)} - 336 \, B a^{3} c^{4} e^{\left(4 i \, f x + 4 i \, e\right)} + 784 i \, A a^{3} c^{4} e^{\left(2 i \, f x + 2 i \, e\right)} - 112 \, B a^{3} c^{4} e^{\left(2 i \, f x + 2 i \, e\right)} + 112 i \, A a^{3} c^{4} - 16 \, B a^{3} c^{4}}{105 \, {\left(f e^{\left(14 i \, f x + 14 i \, e\right)} + 7 \, f e^{\left(12 i \, f x + 12 i \, e\right)} + 21 \, f e^{\left(10 i \, f x + 10 i \, e\right)} + 35 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 35 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 21 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 7 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/105*(1680*I*A*a^3*c^4*e^(6*I*f*x + 6*I*e) + 1680*B*a^3*c^4*e^(6*I*f*x + 6*I*e) + 2352*I*A*a^3*c^4*e^(4*I*f*x + 4*I*e) - 336*B*a^3*c^4*e^(4*I*f*x + 4*I*e) + 784*I*A*a^3*c^4*e^(2*I*f*x + 2*I*e) - 112*B*a^3*c^4*e^(2*I*f*x + 2*I*e) + 112*I*A*a^3*c^4 - 16*B*a^3*c^4)/(f*e^(14*I*f*x + 14*I*e) + 7*f*e^(12*I*f*x + 12*I*e) + 21*f*e^(10*I*f*x + 10*I*e) + 35*f*e^(8*I*f*x + 8*I*e) + 35*f*e^(6*I*f*x + 6*I*e) + 21*f*e^(4*I*f*x + 4*I*e) + 7*f*e^(2*I*f*x + 2*I*e) + f)","B",0
693,1,793,0,10.170630," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{5 \, B a^{3} c^{3} \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 30 \, A a^{3} c^{3} \tan\left(f x\right)^{6} \tan\left(e\right)^{5} - 30 \, A a^{3} c^{3} \tan\left(f x\right)^{5} \tan\left(e\right)^{6} + 15 \, B a^{3} c^{3} \tan\left(f x\right)^{6} \tan\left(e\right)^{4} + 15 \, B a^{3} c^{3} \tan\left(f x\right)^{4} \tan\left(e\right)^{6} - 20 \, A a^{3} c^{3} \tan\left(f x\right)^{6} \tan\left(e\right)^{3} + 90 \, A a^{3} c^{3} \tan\left(f x\right)^{5} \tan\left(e\right)^{4} + 90 \, A a^{3} c^{3} \tan\left(f x\right)^{4} \tan\left(e\right)^{5} - 20 \, A a^{3} c^{3} \tan\left(f x\right)^{3} \tan\left(e\right)^{6} + 15 \, B a^{3} c^{3} \tan\left(f x\right)^{6} \tan\left(e\right)^{2} + 45 \, B a^{3} c^{3} \tan\left(f x\right)^{4} \tan\left(e\right)^{4} + 15 \, B a^{3} c^{3} \tan\left(f x\right)^{2} \tan\left(e\right)^{6} - 6 \, A a^{3} c^{3} \tan\left(f x\right)^{6} \tan\left(e\right) + 30 \, A a^{3} c^{3} \tan\left(f x\right)^{5} \tan\left(e\right)^{2} - 180 \, A a^{3} c^{3} \tan\left(f x\right)^{4} \tan\left(e\right)^{3} - 180 \, A a^{3} c^{3} \tan\left(f x\right)^{3} \tan\left(e\right)^{4} + 30 \, A a^{3} c^{3} \tan\left(f x\right)^{2} \tan\left(e\right)^{5} - 6 \, A a^{3} c^{3} \tan\left(f x\right) \tan\left(e\right)^{6} + 5 \, B a^{3} c^{3} \tan\left(f x\right)^{6} + 45 \, B a^{3} c^{3} \tan\left(f x\right)^{4} \tan\left(e\right)^{2} + 45 \, B a^{3} c^{3} \tan\left(f x\right)^{2} \tan\left(e\right)^{4} + 5 \, B a^{3} c^{3} \tan\left(e\right)^{6} + 6 \, A a^{3} c^{3} \tan\left(f x\right)^{5} - 30 \, A a^{3} c^{3} \tan\left(f x\right)^{4} \tan\left(e\right) + 180 \, A a^{3} c^{3} \tan\left(f x\right)^{3} \tan\left(e\right)^{2} + 180 \, A a^{3} c^{3} \tan\left(f x\right)^{2} \tan\left(e\right)^{3} - 30 \, A a^{3} c^{3} \tan\left(f x\right) \tan\left(e\right)^{4} + 6 \, A a^{3} c^{3} \tan\left(e\right)^{5} + 15 \, B a^{3} c^{3} \tan\left(f x\right)^{4} + 45 \, B a^{3} c^{3} \tan\left(f x\right)^{2} \tan\left(e\right)^{2} + 15 \, B a^{3} c^{3} \tan\left(e\right)^{4} + 20 \, A a^{3} c^{3} \tan\left(f x\right)^{3} - 90 \, A a^{3} c^{3} \tan\left(f x\right)^{2} \tan\left(e\right) - 90 \, A a^{3} c^{3} \tan\left(f x\right) \tan\left(e\right)^{2} + 20 \, A a^{3} c^{3} \tan\left(e\right)^{3} + 15 \, B a^{3} c^{3} \tan\left(f x\right)^{2} + 15 \, B a^{3} c^{3} \tan\left(e\right)^{2} + 30 \, A a^{3} c^{3} \tan\left(f x\right) + 30 \, A a^{3} c^{3} \tan\left(e\right) + 5 \, B a^{3} c^{3}}{30 \, {\left(f \tan\left(f x\right)^{6} \tan\left(e\right)^{6} - 6 \, f \tan\left(f x\right)^{5} \tan\left(e\right)^{5} + 15 \, f \tan\left(f x\right)^{4} \tan\left(e\right)^{4} - 20 \, f \tan\left(f x\right)^{3} \tan\left(e\right)^{3} + 15 \, f \tan\left(f x\right)^{2} \tan\left(e\right)^{2} - 6 \, f \tan\left(f x\right) \tan\left(e\right) + f\right)}}"," ",0,"1/30*(5*B*a^3*c^3*tan(f*x)^6*tan(e)^6 - 30*A*a^3*c^3*tan(f*x)^6*tan(e)^5 - 30*A*a^3*c^3*tan(f*x)^5*tan(e)^6 + 15*B*a^3*c^3*tan(f*x)^6*tan(e)^4 + 15*B*a^3*c^3*tan(f*x)^4*tan(e)^6 - 20*A*a^3*c^3*tan(f*x)^6*tan(e)^3 + 90*A*a^3*c^3*tan(f*x)^5*tan(e)^4 + 90*A*a^3*c^3*tan(f*x)^4*tan(e)^5 - 20*A*a^3*c^3*tan(f*x)^3*tan(e)^6 + 15*B*a^3*c^3*tan(f*x)^6*tan(e)^2 + 45*B*a^3*c^3*tan(f*x)^4*tan(e)^4 + 15*B*a^3*c^3*tan(f*x)^2*tan(e)^6 - 6*A*a^3*c^3*tan(f*x)^6*tan(e) + 30*A*a^3*c^3*tan(f*x)^5*tan(e)^2 - 180*A*a^3*c^3*tan(f*x)^4*tan(e)^3 - 180*A*a^3*c^3*tan(f*x)^3*tan(e)^4 + 30*A*a^3*c^3*tan(f*x)^2*tan(e)^5 - 6*A*a^3*c^3*tan(f*x)*tan(e)^6 + 5*B*a^3*c^3*tan(f*x)^6 + 45*B*a^3*c^3*tan(f*x)^4*tan(e)^2 + 45*B*a^3*c^3*tan(f*x)^2*tan(e)^4 + 5*B*a^3*c^3*tan(e)^6 + 6*A*a^3*c^3*tan(f*x)^5 - 30*A*a^3*c^3*tan(f*x)^4*tan(e) + 180*A*a^3*c^3*tan(f*x)^3*tan(e)^2 + 180*A*a^3*c^3*tan(f*x)^2*tan(e)^3 - 30*A*a^3*c^3*tan(f*x)*tan(e)^4 + 6*A*a^3*c^3*tan(e)^5 + 15*B*a^3*c^3*tan(f*x)^4 + 45*B*a^3*c^3*tan(f*x)^2*tan(e)^2 + 15*B*a^3*c^3*tan(e)^4 + 20*A*a^3*c^3*tan(f*x)^3 - 90*A*a^3*c^3*tan(f*x)^2*tan(e) - 90*A*a^3*c^3*tan(f*x)*tan(e)^2 + 20*A*a^3*c^3*tan(e)^3 + 15*B*a^3*c^3*tan(f*x)^2 + 15*B*a^3*c^3*tan(e)^2 + 30*A*a^3*c^3*tan(f*x) + 30*A*a^3*c^3*tan(e) + 5*B*a^3*c^3)/(f*tan(f*x)^6*tan(e)^6 - 6*f*tan(f*x)^5*tan(e)^5 + 15*f*tan(f*x)^4*tan(e)^4 - 20*f*tan(f*x)^3*tan(e)^3 + 15*f*tan(f*x)^2*tan(e)^2 - 6*f*tan(f*x)*tan(e) + f)","B",0
694,1,203,0,2.210817," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{120 i \, A a^{3} c^{2} e^{\left(6 i \, f x + 6 i \, e\right)} + 120 \, B a^{3} c^{2} e^{\left(6 i \, f x + 6 i \, e\right)} + 200 i \, A a^{3} c^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 40 \, B a^{3} c^{2} e^{\left(4 i \, f x + 4 i \, e\right)} + 100 i \, A a^{3} c^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 20 \, B a^{3} c^{2} e^{\left(2 i \, f x + 2 i \, e\right)} + 20 i \, A a^{3} c^{2} + 4 \, B a^{3} c^{2}}{15 \, {\left(f e^{\left(10 i \, f x + 10 i \, e\right)} + 5 \, f e^{\left(8 i \, f x + 8 i \, e\right)} + 10 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 10 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 5 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/15*(120*I*A*a^3*c^2*e^(6*I*f*x + 6*I*e) + 120*B*a^3*c^2*e^(6*I*f*x + 6*I*e) + 200*I*A*a^3*c^2*e^(4*I*f*x + 4*I*e) + 40*B*a^3*c^2*e^(4*I*f*x + 4*I*e) + 100*I*A*a^3*c^2*e^(2*I*f*x + 2*I*e) + 20*B*a^3*c^2*e^(2*I*f*x + 2*I*e) + 20*I*A*a^3*c^2 + 4*B*a^3*c^2)/(f*e^(10*I*f*x + 10*I*e) + 5*f*e^(8*I*f*x + 8*I*e) + 10*f*e^(6*I*f*x + 6*I*e) + 10*f*e^(4*I*f*x + 4*I*e) + 5*f*e^(2*I*f*x + 2*I*e) + f)","B",0
695,1,174,0,1.700643," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{24 i \, A a^{3} c e^{\left(6 i \, f x + 6 i \, e\right)} + 24 \, B a^{3} c e^{\left(6 i \, f x + 6 i \, e\right)} + 48 i \, A a^{3} c e^{\left(4 i \, f x + 4 i \, e\right)} + 24 \, B a^{3} c e^{\left(4 i \, f x + 4 i \, e\right)} + 32 i \, A a^{3} c e^{\left(2 i \, f x + 2 i \, e\right)} + 16 \, B a^{3} c e^{\left(2 i \, f x + 2 i \, e\right)} + 8 i \, A a^{3} c + 4 \, B a^{3} c}{3 \, {\left(f e^{\left(8 i \, f x + 8 i \, e\right)} + 4 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 6 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 4 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/3*(24*I*A*a^3*c*e^(6*I*f*x + 6*I*e) + 24*B*a^3*c*e^(6*I*f*x + 6*I*e) + 48*I*A*a^3*c*e^(4*I*f*x + 4*I*e) + 24*B*a^3*c*e^(4*I*f*x + 4*I*e) + 32*I*A*a^3*c*e^(2*I*f*x + 2*I*e) + 16*B*a^3*c*e^(2*I*f*x + 2*I*e) + 8*I*A*a^3*c + 4*B*a^3*c)/(f*e^(8*I*f*x + 8*I*e) + 4*f*e^(6*I*f*x + 6*I*e) + 6*f*e^(4*I*f*x + 4*I*e) + 4*f*e^(2*I*f*x + 2*I*e) + f)","B",0
696,1,333,0,1.405843," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\frac{-12 i \, A a^{3} e^{\left(6 i \, f x + 6 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 12 \, B a^{3} e^{\left(6 i \, f x + 6 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 36 i \, A a^{3} e^{\left(4 i \, f x + 4 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 36 \, B a^{3} e^{\left(4 i \, f x + 4 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 36 i \, A a^{3} e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 36 \, B a^{3} e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 24 i \, A a^{3} e^{\left(4 i \, f x + 4 i \, e\right)} - 48 \, B a^{3} e^{\left(4 i \, f x + 4 i \, e\right)} - 42 i \, A a^{3} e^{\left(2 i \, f x + 2 i \, e\right)} - 66 \, B a^{3} e^{\left(2 i \, f x + 2 i \, e\right)} - 12 i \, A a^{3} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 12 \, B a^{3} \log\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right) - 18 i \, A a^{3} - 26 \, B a^{3}}{3 \, {\left(f e^{\left(6 i \, f x + 6 i \, e\right)} + 3 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 3 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}}"," ",0,"1/3*(-12*I*A*a^3*e^(6*I*f*x + 6*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 12*B*a^3*e^(6*I*f*x + 6*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 36*I*A*a^3*e^(4*I*f*x + 4*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 36*B*a^3*e^(4*I*f*x + 4*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 36*I*A*a^3*e^(2*I*f*x + 2*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 36*B*a^3*e^(2*I*f*x + 2*I*e)*log(e^(2*I*f*x + 2*I*e) + 1) - 24*I*A*a^3*e^(4*I*f*x + 4*I*e) - 48*B*a^3*e^(4*I*f*x + 4*I*e) - 42*I*A*a^3*e^(2*I*f*x + 2*I*e) - 66*B*a^3*e^(2*I*f*x + 2*I*e) - 12*I*A*a^3*log(e^(2*I*f*x + 2*I*e) + 1) - 12*B*a^3*log(e^(2*I*f*x + 2*I*e) + 1) - 18*I*A*a^3 - 26*B*a^3)/(f*e^(6*I*f*x + 6*I*e) + 3*f*e^(4*I*f*x + 4*I*e) + 3*f*e^(2*I*f*x + 2*I*e) + f)","B",0
697,1,320,0,1.850366," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{2 \, {\left(\frac{{\left(2 i \, A a^{3} + 4 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{c} + \frac{{\left(-4 i \, A a^{3} - 8 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}{c} + \frac{{\left(2 i \, A a^{3} + 4 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{c} - \frac{5 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 8 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 2 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 7 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 10 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 14 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 7 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 8 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + i \, \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{2} c}\right)}}{f}"," ",0,"2*((2*I*A*a^3 + 4*B*a^3)*log(tan(1/2*f*x + 1/2*e) + 1)/c + (-4*I*A*a^3 - 8*B*a^3)*log(tan(1/2*f*x + 1/2*e) + I)/c + (2*I*A*a^3 + 4*B*a^3)*log(tan(1/2*f*x + 1/2*e) - 1)/c - (5*A*a^3*tan(1/2*f*x + 1/2*e)^5 - 8*I*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 2*I*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 7*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 10*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 14*I*B*a^3*tan(1/2*f*x + 1/2*e)^3 - 2*I*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 7*B*a^3*tan(1/2*f*x + 1/2*e)^2 + 5*A*a^3*tan(1/2*f*x + 1/2*e) - 8*I*B*a^3*tan(1/2*f*x + 1/2*e))/((tan(1/2*f*x + 1/2*e)^3 + I*tan(1/2*f*x + 1/2*e)^2 - tan(1/2*f*x + 1/2*e) - I)^2*c))/f","B",0
698,1,357,0,2.314742," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(-i \, A a^{3} - 5 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{c^{2}} + \frac{12 \, {\left(i \, A a^{3} + 5 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}{c^{2}} - \frac{6 \, {\left(i \, A a^{3} + 5 \, B a^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{c^{2}} - \frac{6 \, {\left(-i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 5 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i \, A a^{3} + 5 \, B a^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)} c^{2}} - \frac{25 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 125 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 100 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 548 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 198 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 894 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 100 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 548 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 25 i \, A a^{3} + 125 \, B a^{3}}{c^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{4}}}{6 \, f}"," ",0,"1/6*(6*(-I*A*a^3 - 5*B*a^3)*log(tan(1/2*f*x + 1/2*e) + 1)/c^2 + 12*(I*A*a^3 + 5*B*a^3)*log(tan(1/2*f*x + 1/2*e) + I)/c^2 - 6*(I*A*a^3 + 5*B*a^3)*log(tan(1/2*f*x + 1/2*e) - 1)/c^2 - 6*(-I*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 5*B*a^3*tan(1/2*f*x + 1/2*e)^2 + 2*I*B*a^3*tan(1/2*f*x + 1/2*e) + I*A*a^3 + 5*B*a^3)/((tan(1/2*f*x + 1/2*e)^2 - 1)*c^2) - (25*I*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 125*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 100*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 548*I*B*a^3*tan(1/2*f*x + 1/2*e)^3 - 198*I*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 894*B*a^3*tan(1/2*f*x + 1/2*e)^2 + 100*A*a^3*tan(1/2*f*x + 1/2*e) - 548*I*B*a^3*tan(1/2*f*x + 1/2*e) + 25*I*A*a^3 + 125*B*a^3)/(c^2*(tan(1/2*f*x + 1/2*e) + I)^4))/f","B",0
699,1,255,0,3.332517," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{30 \, B a^{3} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{c^{3}} - \frac{60 \, B a^{3} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}{c^{3}} + \frac{30 \, B a^{3} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{c^{3}} + \frac{147 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 60 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 942 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 2445 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 200 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 3620 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2445 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 60 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 942 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 147 \, B a^{3}}{c^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{6}}}{30 \, f}"," ",0,"1/30*(30*B*a^3*log(tan(1/2*f*x + 1/2*e) + 1)/c^3 - 60*B*a^3*log(tan(1/2*f*x + 1/2*e) + I)/c^3 + 30*B*a^3*log(tan(1/2*f*x + 1/2*e) - 1)/c^3 + (147*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 60*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 942*I*B*a^3*tan(1/2*f*x + 1/2*e)^5 - 2445*B*a^3*tan(1/2*f*x + 1/2*e)^4 + 200*A*a^3*tan(1/2*f*x + 1/2*e)^3 - 3620*I*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 2445*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 60*A*a^3*tan(1/2*f*x + 1/2*e) + 942*I*B*a^3*tan(1/2*f*x + 1/2*e) - 147*B*a^3)/(c^3*(tan(1/2*f*x + 1/2*e) + I)^6))/f","B",0
700,1,237,0,4.257085," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 3 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 3 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 17 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 4 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 10 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 10 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 17 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 4 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 3 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 3 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{3 \, c^{4} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{8}}"," ",0,"-2/3*(3*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 3*I*A*a^3*tan(1/2*f*x + 1/2*e)^6 - 3*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 17*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 4*I*B*a^3*tan(1/2*f*x + 1/2*e)^5 - 10*I*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 10*B*a^3*tan(1/2*f*x + 1/2*e)^4 + 17*A*a^3*tan(1/2*f*x + 1/2*e)^3 - 4*I*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 3*I*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 3*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 3*A*a^3*tan(1/2*f*x + 1/2*e))/(c^4*f*(tan(1/2*f*x + 1/2*e) + I)^8)","B",0
701,1,309,0,6.869513," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^5,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 30 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 15 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 140 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 10 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 170 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 65 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 282 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 12 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 170 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 65 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 140 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 10 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 30 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{15 \, c^{5} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{10}}"," ",0,"-2/15*(15*A*a^3*tan(1/2*f*x + 1/2*e)^9 + 30*I*A*a^3*tan(1/2*f*x + 1/2*e)^8 - 15*B*a^3*tan(1/2*f*x + 1/2*e)^8 - 140*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 10*I*B*a^3*tan(1/2*f*x + 1/2*e)^7 - 170*I*A*a^3*tan(1/2*f*x + 1/2*e)^6 + 65*B*a^3*tan(1/2*f*x + 1/2*e)^6 + 282*A*a^3*tan(1/2*f*x + 1/2*e)^5 - 12*I*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 170*I*A*a^3*tan(1/2*f*x + 1/2*e)^4 - 65*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 140*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 10*I*B*a^3*tan(1/2*f*x + 1/2*e)^3 - 30*I*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 15*B*a^3*tan(1/2*f*x + 1/2*e)^2 + 15*A*a^3*tan(1/2*f*x + 1/2*e))/(c^5*f*(tan(1/2*f*x + 1/2*e) + I)^10)","B",0
702,1,345,0,6.544062," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^6,x, algorithm=""giac"")","-\frac{2 \, {\left(15 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 45 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 15 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 215 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} - 390 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 90 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 738 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 24 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 746 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 158 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 738 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 24 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 390 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 90 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 215 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 45 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 15 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{15 \, c^{6} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{12}}"," ",0,"-2/15*(15*A*a^3*tan(1/2*f*x + 1/2*e)^11 + 45*I*A*a^3*tan(1/2*f*x + 1/2*e)^10 - 15*B*a^3*tan(1/2*f*x + 1/2*e)^10 - 215*A*a^3*tan(1/2*f*x + 1/2*e)^9 - 390*I*A*a^3*tan(1/2*f*x + 1/2*e)^8 + 90*B*a^3*tan(1/2*f*x + 1/2*e)^8 + 738*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 24*I*B*a^3*tan(1/2*f*x + 1/2*e)^7 + 746*I*A*a^3*tan(1/2*f*x + 1/2*e)^6 - 158*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 738*A*a^3*tan(1/2*f*x + 1/2*e)^5 - 24*I*B*a^3*tan(1/2*f*x + 1/2*e)^5 - 390*I*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 90*B*a^3*tan(1/2*f*x + 1/2*e)^4 + 215*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 45*I*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 15*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 15*A*a^3*tan(1/2*f*x + 1/2*e))/(c^6*f*(tan(1/2*f*x + 1/2*e) + I)^12)","B",0
703,1,453,0,8.763104," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^7,x, algorithm=""giac"")","-\frac{2 \, {\left(105 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{13} + 420 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} - 105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} - 2170 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} - 70 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} - 5180 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} + 875 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} + 11431 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 700 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} + 15904 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 2380 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} - 19436 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 1340 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} - 15904 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 2380 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 11431 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 700 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 5180 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 875 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 2170 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 70 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 420 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 105 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{105 \, c^{7} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{14}}"," ",0,"-2/105*(105*A*a^3*tan(1/2*f*x + 1/2*e)^13 + 420*I*A*a^3*tan(1/2*f*x + 1/2*e)^12 - 105*B*a^3*tan(1/2*f*x + 1/2*e)^12 - 2170*A*a^3*tan(1/2*f*x + 1/2*e)^11 - 70*I*B*a^3*tan(1/2*f*x + 1/2*e)^11 - 5180*I*A*a^3*tan(1/2*f*x + 1/2*e)^10 + 875*B*a^3*tan(1/2*f*x + 1/2*e)^10 + 11431*A*a^3*tan(1/2*f*x + 1/2*e)^9 + 700*I*B*a^3*tan(1/2*f*x + 1/2*e)^9 + 15904*I*A*a^3*tan(1/2*f*x + 1/2*e)^8 - 2380*B*a^3*tan(1/2*f*x + 1/2*e)^8 - 19436*A*a^3*tan(1/2*f*x + 1/2*e)^7 - 1340*I*B*a^3*tan(1/2*f*x + 1/2*e)^7 - 15904*I*A*a^3*tan(1/2*f*x + 1/2*e)^6 + 2380*B*a^3*tan(1/2*f*x + 1/2*e)^6 + 11431*A*a^3*tan(1/2*f*x + 1/2*e)^5 + 700*I*B*a^3*tan(1/2*f*x + 1/2*e)^5 + 5180*I*A*a^3*tan(1/2*f*x + 1/2*e)^4 - 875*B*a^3*tan(1/2*f*x + 1/2*e)^4 - 2170*A*a^3*tan(1/2*f*x + 1/2*e)^3 - 70*I*B*a^3*tan(1/2*f*x + 1/2*e)^3 - 420*I*A*a^3*tan(1/2*f*x + 1/2*e)^2 + 105*B*a^3*tan(1/2*f*x + 1/2*e)^2 + 105*A*a^3*tan(1/2*f*x + 1/2*e))/(c^7*f*(tan(1/2*f*x + 1/2*e) + I)^14)","B",0
704,1,525,0,9.602776," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^8,x, algorithm=""giac"")","-\frac{2 \, {\left(105 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{15} + 525 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{14} - 105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{14} - 2975 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{13} - 140 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{13} - 8750 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} + 1190 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{12} + 22365 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 1596 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{11} + 39235 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 4711 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{10} - 58075 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} - 4600 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{9} - 63300 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 7380 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{8} + 58075 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 4600 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{7} + 39235 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 4711 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 22365 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 1596 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 8750 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 1190 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 2975 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 140 i \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 525 i \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 105 \, B a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 105 \, A a^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{105 \, c^{8} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{16}}"," ",0,"-2/105*(105*A*a^3*tan(1/2*f*x + 1/2*e)^15 + 525*I*A*a^3*tan(1/2*f*x + 1/2*e)^14 - 105*B*a^3*tan(1/2*f*x + 1/2*e)^14 - 2975*A*a^3*tan(1/2*f*x + 1/2*e)^13 - 140*I*B*a^3*tan(1/2*f*x + 1/2*e)^13 - 8750*I*A*a^3*tan(1/2*f*x + 1/2*e)^12 + 1190*B*a^3*tan(1/2*f*x + 1/2*e)^12 + 22365*A*a^3*tan(1/2*f*x + 1/2*e)^11 + 1596*I*B*a^3*tan(1/2*f*x + 1/2*e)^11 + 39235*I*A*a^3*tan(1/2*f*x + 1/2*e)^10 - 4711*B*a^3*tan(1/2*f*x + 1/2*e)^10 - 58075*A*a^3*tan(1/2*f*x + 1/2*e)^9 - 4600*I*B*a^3*tan(1/2*f*x + 1/2*e)^9 - 63300*I*A*a^3*tan(1/2*f*x + 1/2*e)^8 + 7380*B*a^3*tan(1/2*f*x + 1/2*e)^8 + 58075*A*a^3*tan(1/2*f*x + 1/2*e)^7 + 4600*I*B*a^3*tan(1/2*f*x + 1/2*e)^7 + 39235*I*A*a^3*tan(1/2*f*x + 1/2*e)^6 - 4711*B*a^3*tan(1/2*f*x + 1/2*e)^6 - 22365*A*a^3*tan(1/2*f*x + 1/2*e)^5 - 1596*I*B*a^3*tan(1/2*f*x + 1/2*e)^5 - 8750*I*A*a^3*tan(1/2*f*x + 1/2*e)^4 + 1190*B*a^3*tan(1/2*f*x + 1/2*e)^4 + 2975*A*a^3*tan(1/2*f*x + 1/2*e)^3 + 140*I*B*a^3*tan(1/2*f*x + 1/2*e)^3 + 525*I*A*a^3*tan(1/2*f*x + 1/2*e)^2 - 105*B*a^3*tan(1/2*f*x + 1/2*e)^2 - 105*A*a^3*tan(1/2*f*x + 1/2*e))/(c^8*f*(tan(1/2*f*x + 1/2*e) + I)^16)","B",0
705,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^n/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}}{i \, a \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^n/(I*a*tan(f*x + e) + a), x)","F",0
706,1,444,0,3.278786," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^4/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3 \, {\left(6 i \, A c^{4} - 10 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a} - \frac{3 \, {\left(12 i \, A c^{4} - 20 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a} - \frac{3 \, {\left(-6 i \, A c^{4} + 10 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a} - \frac{3 \, {\left(-18 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 30 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 44 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 68 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 18 i \, A c^{4} - 30 \, B c^{4}\right)}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{2}} + \frac{-33 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 55 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 15 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 36 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 102 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 180 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 30 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 76 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 102 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 180 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 15 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 36 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 33 i \, A c^{4} - 55 \, B c^{4}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)}^{3} a}\right)}}{3 \, f}"," ",0,"-2/3*(3*(6*I*A*c^4 - 10*B*c^4)*log(tan(1/2*f*x + 1/2*e) + 1)/a - 3*(12*I*A*c^4 - 20*B*c^4)*log(tan(1/2*f*x + 1/2*e) - I)/a - 3*(-6*I*A*c^4 + 10*B*c^4)*log(tan(1/2*f*x + 1/2*e) - 1)/a - 3*(-18*I*A*c^4*tan(1/2*f*x + 1/2*e)^2 + 30*B*c^4*tan(1/2*f*x + 1/2*e)^2 - 44*A*c^4*tan(1/2*f*x + 1/2*e) - 68*I*B*c^4*tan(1/2*f*x + 1/2*e) + 18*I*A*c^4 - 30*B*c^4)/(a*(tan(1/2*f*x + 1/2*e) - I)^2) + (-33*I*A*c^4*tan(1/2*f*x + 1/2*e)^6 + 55*B*c^4*tan(1/2*f*x + 1/2*e)^6 + 15*A*c^4*tan(1/2*f*x + 1/2*e)^5 + 36*I*B*c^4*tan(1/2*f*x + 1/2*e)^5 + 102*I*A*c^4*tan(1/2*f*x + 1/2*e)^4 - 180*B*c^4*tan(1/2*f*x + 1/2*e)^4 - 30*A*c^4*tan(1/2*f*x + 1/2*e)^3 - 76*I*B*c^4*tan(1/2*f*x + 1/2*e)^3 - 102*I*A*c^4*tan(1/2*f*x + 1/2*e)^2 + 180*B*c^4*tan(1/2*f*x + 1/2*e)^2 + 15*A*c^4*tan(1/2*f*x + 1/2*e) + 36*I*B*c^4*tan(1/2*f*x + 1/2*e) + 33*I*A*c^4 - 55*B*c^4)/((tan(1/2*f*x + 1/2*e)^2 - 1)^3*a))/f","B",0
707,1,321,0,1.785477," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^3/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{{\left(2 i \, A c^{3} - 4 \, B c^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a} - \frac{{\left(4 i \, A c^{3} - 8 \, B c^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a} - \frac{{\left(-2 i \, A c^{3} + 4 \, B c^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a} + \frac{5 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 8 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 2 i \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 7 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 10 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 14 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 i \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 7 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 5 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 8 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - i \, \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i\right)}^{2} a}\right)}}{f}"," ",0,"-2*((2*I*A*c^3 - 4*B*c^3)*log(tan(1/2*f*x + 1/2*e) + 1)/a - (4*I*A*c^3 - 8*B*c^3)*log(tan(1/2*f*x + 1/2*e) - I)/a - (-2*I*A*c^3 + 4*B*c^3)*log(tan(1/2*f*x + 1/2*e) - 1)/a + (5*A*c^3*tan(1/2*f*x + 1/2*e)^5 + 8*I*B*c^3*tan(1/2*f*x + 1/2*e)^5 - 2*I*A*c^3*tan(1/2*f*x + 1/2*e)^4 + 7*B*c^3*tan(1/2*f*x + 1/2*e)^4 - 10*A*c^3*tan(1/2*f*x + 1/2*e)^3 - 14*I*B*c^3*tan(1/2*f*x + 1/2*e)^3 + 2*I*A*c^3*tan(1/2*f*x + 1/2*e)^2 - 7*B*c^3*tan(1/2*f*x + 1/2*e)^2 + 5*A*c^3*tan(1/2*f*x + 1/2*e) + 8*I*B*c^3*tan(1/2*f*x + 1/2*e))/((tan(1/2*f*x + 1/2*e)^3 - I*tan(1/2*f*x + 1/2*e)^2 - tan(1/2*f*x + 1/2*e) + I)^2*a))/f","B",0
708,1,283,0,3.958086," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^2/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\frac{\frac{{\left(-i \, A c^{2} + 3 \, B c^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a} + \frac{2 \, {\left(i \, A c^{2} - 3 \, B c^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a} - \frac{{\left(i \, A c^{2} - 3 \, B c^{2}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a} - \frac{-i \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 i \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i \, A c^{2} - 3 \, B c^{2}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)} a} - \frac{3 i \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 9 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 10 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 22 i \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 3 i \, A c^{2} + 9 \, B c^{2}}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{2}}}{f}"," ",0,"((-I*A*c^2 + 3*B*c^2)*log(tan(1/2*f*x + 1/2*e) + 1)/a + 2*(I*A*c^2 - 3*B*c^2)*log(tan(1/2*f*x + 1/2*e) - I)/a - (I*A*c^2 - 3*B*c^2)*log(tan(1/2*f*x + 1/2*e) - 1)/a - (-I*A*c^2*tan(1/2*f*x + 1/2*e)^2 + 3*B*c^2*tan(1/2*f*x + 1/2*e)^2 + 2*I*B*c^2*tan(1/2*f*x + 1/2*e) + I*A*c^2 - 3*B*c^2)/((tan(1/2*f*x + 1/2*e)^2 - 1)*a) - (3*I*A*c^2*tan(1/2*f*x + 1/2*e)^2 - 9*B*c^2*tan(1/2*f*x + 1/2*e)^2 + 10*A*c^2*tan(1/2*f*x + 1/2*e) + 22*I*B*c^2*tan(1/2*f*x + 1/2*e) - 3*I*A*c^2 + 9*B*c^2)/(a*(tan(1/2*f*x + 1/2*e) - I)^2))/f","B",0
709,1,130,0,1.883675," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\frac{\frac{B c \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a} - \frac{2 \, B c \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a} + \frac{B c \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a} + \frac{3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 8 i \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 3 \, B c}{a {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{2}}}{f}"," ",0,"(B*c*log(tan(1/2*f*x + 1/2*e) + 1)/a - 2*B*c*log(tan(1/2*f*x + 1/2*e) - I)/a + B*c*log(tan(1/2*f*x + 1/2*e) - 1)/a + (3*B*c*tan(1/2*f*x + 1/2*e)^2 - 2*A*c*tan(1/2*f*x + 1/2*e) - 8*I*B*c*tan(1/2*f*x + 1/2*e) - 3*B*c)/(a*(tan(1/2*f*x + 1/2*e) - I)^2))/f","B",0
710,1,90,0,0.821787," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{{\left(i \, A + B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a} + \frac{{\left(-i \, A - B\right)} \log\left(-i \, \tan\left(f x + e\right) + 1\right)}{a} + \frac{-i \, A \tan\left(f x + e\right) - B \tan\left(f x + e\right) - 3 \, A - i \, B}{a {\left(\tan\left(f x + e\right) - i\right)}}}{4 \, f}"," ",0,"-1/4*((I*A + B)*log(tan(f*x + e) - I)/a + (-I*A - B)*log(-I*tan(f*x + e) + 1)/a + (-I*A*tan(f*x + e) - B*tan(f*x + e) - 3*A - I*B)/(a*(tan(f*x + e) - I)))/f","B",0
711,1,53,0,1.026633," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{\frac{{\left(f x + e\right)} A}{a c} + \frac{A \tan\left(f x + e\right) - B}{{\left(\tan\left(f x + e\right)^{2} + 1\right)} a c}}{2 \, f}"," ",0,"1/2*((f*x + e)*A/(a*c) + (A*tan(f*x + e) - B)/((tan(f*x + e)^2 + 1)*a*c))/f","A",0
712,1,169,0,1.598888," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 i \, A - B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a c^{2}} + \frac{2 \, {\left(-3 i \, A + B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a c^{2}} - \frac{2 \, {\left(3 \, A \tan\left(f x + e\right) + i \, B \tan\left(f x + e\right) - 5 i \, A + 3 \, B\right)}}{a c^{2} {\left(i \, \tan\left(f x + e\right) + 1\right)}} + \frac{-9 i \, A \tan\left(f x + e\right)^{2} + 3 \, B \tan\left(f x + e\right)^{2} + 26 \, A \tan\left(f x + e\right) + 6 i \, B \tan\left(f x + e\right) + 21 i \, A + B}{a c^{2} {\left(\tan\left(f x + e\right) + i\right)}^{2}}}{32 \, f}"," ",0,"1/32*(2*(3*I*A - B)*log(tan(f*x + e) + I)/(a*c^2) + 2*(-3*I*A + B)*log(tan(f*x + e) - I)/(a*c^2) - 2*(3*A*tan(f*x + e) + I*B*tan(f*x + e) - 5*I*A + 3*B)/(a*c^2*(I*tan(f*x + e) + 1)) + (-9*I*A*tan(f*x + e)^2 + 3*B*tan(f*x + e)^2 + 26*A*tan(f*x + e) + 6*I*B*tan(f*x + e) + 21*I*A + B)/(a*c^2*(tan(f*x + e) + I)^2))/f","A",0
713,1,192,0,2.053397," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-2 i \, A + B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a c^{3}} + \frac{6 \, {\left(2 i \, A - B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a c^{3}} + \frac{6 \, {\left(-2 i \, A \tan\left(f x + e\right) + B \tan\left(f x + e\right) - 3 \, A - 2 i \, B\right)}}{a c^{3} {\left(\tan\left(f x + e\right) - i\right)}} + \frac{22 i \, A \tan\left(f x + e\right)^{3} - 11 \, B \tan\left(f x + e\right)^{3} - 84 \, A \tan\left(f x + e\right)^{2} - 39 i \, B \tan\left(f x + e\right)^{2} - 114 i \, A \tan\left(f x + e\right) + 45 \, B \tan\left(f x + e\right) + 60 \, A + 9 i \, B}{a c^{3} {\left(\tan\left(f x + e\right) + i\right)}^{3}}}{96 \, f}"," ",0,"-1/96*(6*(-2*I*A + B)*log(tan(f*x + e) + I)/(a*c^3) + 6*(2*I*A - B)*log(tan(f*x + e) - I)/(a*c^3) + 6*(-2*I*A*tan(f*x + e) + B*tan(f*x + e) - 3*A - 2*I*B)/(a*c^3*(tan(f*x + e) - I)) + (22*I*A*tan(f*x + e)^3 - 11*B*tan(f*x + e)^3 - 84*A*tan(f*x + e)^2 - 39*I*B*tan(f*x + e)^2 - 114*I*A*tan(f*x + e) + 45*B*tan(f*x + e) + 60*A + 9*I*B)/(a*c^3*(tan(f*x + e) + I)^3))/f","A",0
714,1,221,0,2.810302," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","\frac{\frac{12 \, {\left(5 i \, A - 3 \, B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a c^{4}} + \frac{12 \, {\left(-5 i \, A + 3 \, B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a c^{4}} + \frac{12 \, {\left(5 \, A \tan\left(f x + e\right) + 3 i \, B \tan\left(f x + e\right) - 7 i \, A + 5 \, B\right)}}{a c^{4} {\left(-i \, \tan\left(f x + e\right) - 1\right)}} + \frac{-125 i \, A \tan\left(f x + e\right)^{4} + 75 \, B \tan\left(f x + e\right)^{4} + 596 \, A \tan\left(f x + e\right)^{3} + 348 i \, B \tan\left(f x + e\right)^{3} + 1110 i \, A \tan\left(f x + e\right)^{2} - 618 \, B \tan\left(f x + e\right)^{2} - 996 \, A \tan\left(f x + e\right) - 492 i \, B \tan\left(f x + e\right) - 405 i \, A + 99 \, B}{a c^{4} {\left(\tan\left(f x + e\right) + i\right)}^{4}}}{768 \, f}"," ",0,"1/768*(12*(5*I*A - 3*B)*log(tan(f*x + e) + I)/(a*c^4) + 12*(-5*I*A + 3*B)*log(tan(f*x + e) - I)/(a*c^4) + 12*(5*A*tan(f*x + e) + 3*I*B*tan(f*x + e) - 7*I*A + 5*B)/(a*c^4*(-I*tan(f*x + e) - 1)) + (-125*I*A*tan(f*x + e)^4 + 75*B*tan(f*x + e)^4 + 596*A*tan(f*x + e)^3 + 348*I*B*tan(f*x + e)^3 + 1110*I*A*tan(f*x + e)^2 - 618*B*tan(f*x + e)^2 - 996*A*tan(f*x + e) - 492*I*B*tan(f*x + e) - 405*I*A + 99*B)/(a*c^4*(tan(f*x + e) + I)^4))/f","A",0
715,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^n/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^n/(I*a*tan(f*x + e) + a)^2, x)","F",0
716,1,515,0,3.663356," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^5/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{3 \, {\left(-12 i \, A c^{5} + 28 \, B c^{5}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a^{2}} - \frac{3 \, {\left(-24 i \, A c^{5} + 56 \, B c^{5}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a^{2}} - \frac{3 \, {\left(12 i \, A c^{5} - 28 \, B c^{5}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a^{2}} + \frac{66 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 154 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 21 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 72 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 201 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 483 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 42 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 148 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 201 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 483 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 21 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 72 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 66 i \, A c^{5} + 154 \, B c^{5}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)}^{3} a^{2}} + \frac{-150 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 350 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 648 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 1496 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 1044 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2340 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 648 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1496 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 150 i \, A c^{5} + 350 \, B c^{5}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{4}}\right)}}{3 \, f}"," ",0,"-2/3*(3*(-12*I*A*c^5 + 28*B*c^5)*log(tan(1/2*f*x + 1/2*e) + 1)/a^2 - 3*(-24*I*A*c^5 + 56*B*c^5)*log(tan(1/2*f*x + 1/2*e) - I)/a^2 - 3*(12*I*A*c^5 - 28*B*c^5)*log(tan(1/2*f*x + 1/2*e) - 1)/a^2 + (66*I*A*c^5*tan(1/2*f*x + 1/2*e)^6 - 154*B*c^5*tan(1/2*f*x + 1/2*e)^6 - 21*A*c^5*tan(1/2*f*x + 1/2*e)^5 - 72*I*B*c^5*tan(1/2*f*x + 1/2*e)^5 - 201*I*A*c^5*tan(1/2*f*x + 1/2*e)^4 + 483*B*c^5*tan(1/2*f*x + 1/2*e)^4 + 42*A*c^5*tan(1/2*f*x + 1/2*e)^3 + 148*I*B*c^5*tan(1/2*f*x + 1/2*e)^3 + 201*I*A*c^5*tan(1/2*f*x + 1/2*e)^2 - 483*B*c^5*tan(1/2*f*x + 1/2*e)^2 - 21*A*c^5*tan(1/2*f*x + 1/2*e) - 72*I*B*c^5*tan(1/2*f*x + 1/2*e) - 66*I*A*c^5 + 154*B*c^5)/((tan(1/2*f*x + 1/2*e)^2 - 1)^3*a^2) + (-150*I*A*c^5*tan(1/2*f*x + 1/2*e)^4 + 350*B*c^5*tan(1/2*f*x + 1/2*e)^4 - 648*A*c^5*tan(1/2*f*x + 1/2*e)^3 - 1496*I*B*c^5*tan(1/2*f*x + 1/2*e)^3 + 1044*I*A*c^5*tan(1/2*f*x + 1/2*e)^2 - 2340*B*c^5*tan(1/2*f*x + 1/2*e)^2 + 648*A*c^5*tan(1/2*f*x + 1/2*e) + 1496*I*B*c^5*tan(1/2*f*x + 1/2*e) - 150*I*A*c^5 + 350*B*c^5)/(a^2*(tan(1/2*f*x + 1/2*e) - I)^4))/f","B",0
717,1,443,0,2.867035," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^4/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(-3 i \, A c^{4} + 9 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a^{2}} - \frac{2 \, {\left(-6 i \, A c^{4} + 18 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a^{2}} - \frac{2 \, {\left(3 i \, A c^{4} - 9 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a^{2}} + \frac{9 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 27 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 2 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 12 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 18 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 56 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 12 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 9 i \, A c^{4} - 27 \, B c^{4}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)}^{2} a^{2}} + \frac{-25 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 75 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 108 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 324 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 182 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 514 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 108 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 324 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 25 i \, A c^{4} + 75 \, B c^{4}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{4}}}{f}"," ",0,"-(2*(-3*I*A*c^4 + 9*B*c^4)*log(tan(1/2*f*x + 1/2*e) + 1)/a^2 - 2*(-6*I*A*c^4 + 18*B*c^4)*log(tan(1/2*f*x + 1/2*e) - I)/a^2 - 2*(3*I*A*c^4 - 9*B*c^4)*log(tan(1/2*f*x + 1/2*e) - 1)/a^2 + (9*I*A*c^4*tan(1/2*f*x + 1/2*e)^4 - 27*B*c^4*tan(1/2*f*x + 1/2*e)^4 - 2*A*c^4*tan(1/2*f*x + 1/2*e)^3 - 12*I*B*c^4*tan(1/2*f*x + 1/2*e)^3 - 18*I*A*c^4*tan(1/2*f*x + 1/2*e)^2 + 56*B*c^4*tan(1/2*f*x + 1/2*e)^2 + 2*A*c^4*tan(1/2*f*x + 1/2*e) + 12*I*B*c^4*tan(1/2*f*x + 1/2*e) + 9*I*A*c^4 - 27*B*c^4)/((tan(1/2*f*x + 1/2*e)^2 - 1)^2*a^2) + (-25*I*A*c^4*tan(1/2*f*x + 1/2*e)^4 + 75*B*c^4*tan(1/2*f*x + 1/2*e)^4 - 108*A*c^4*tan(1/2*f*x + 1/2*e)^3 - 324*I*B*c^4*tan(1/2*f*x + 1/2*e)^3 + 182*I*A*c^4*tan(1/2*f*x + 1/2*e)^2 - 514*B*c^4*tan(1/2*f*x + 1/2*e)^2 + 108*A*c^4*tan(1/2*f*x + 1/2*e) + 324*I*B*c^4*tan(1/2*f*x + 1/2*e) - 25*I*A*c^4 + 75*B*c^4)/(a^2*(tan(1/2*f*x + 1/2*e) - I)^4))/f","B",0
718,1,357,0,3.292814," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^3/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{6 \, {\left(i \, A c^{3} - 5 \, B c^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a^{2}} + \frac{12 \, {\left(-i \, A c^{3} + 5 \, B c^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a^{2}} - \frac{6 \, {\left(-i \, A c^{3} + 5 \, B c^{3}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a^{2}} - \frac{6 \, {\left(i \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 5 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 2 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i \, A c^{3} + 5 \, B c^{3}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)} a^{2}} - \frac{-25 i \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 125 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 100 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 548 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 198 i \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 894 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 100 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 548 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 25 i \, A c^{3} + 125 \, B c^{3}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{4}}}{6 \, f}"," ",0,"1/6*(6*(I*A*c^3 - 5*B*c^3)*log(tan(1/2*f*x + 1/2*e) + 1)/a^2 + 12*(-I*A*c^3 + 5*B*c^3)*log(tan(1/2*f*x + 1/2*e) - I)/a^2 - 6*(-I*A*c^3 + 5*B*c^3)*log(tan(1/2*f*x + 1/2*e) - 1)/a^2 - 6*(I*A*c^3*tan(1/2*f*x + 1/2*e)^2 - 5*B*c^3*tan(1/2*f*x + 1/2*e)^2 - 2*I*B*c^3*tan(1/2*f*x + 1/2*e) - I*A*c^3 + 5*B*c^3)/((tan(1/2*f*x + 1/2*e)^2 - 1)*a^2) - (-25*I*A*c^3*tan(1/2*f*x + 1/2*e)^4 + 125*B*c^3*tan(1/2*f*x + 1/2*e)^4 - 100*A*c^3*tan(1/2*f*x + 1/2*e)^3 - 548*I*B*c^3*tan(1/2*f*x + 1/2*e)^3 + 198*I*A*c^3*tan(1/2*f*x + 1/2*e)^2 - 894*B*c^3*tan(1/2*f*x + 1/2*e)^2 + 100*A*c^3*tan(1/2*f*x + 1/2*e) + 548*I*B*c^3*tan(1/2*f*x + 1/2*e) - 25*I*A*c^3 + 125*B*c^3)/(a^2*(tan(1/2*f*x + 1/2*e) - I)^4))/f","B",0
719,1,201,0,2.268048," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^2/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{6 \, B c^{2} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a^{2}} - \frac{12 \, B c^{2} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a^{2}} + \frac{6 \, B c^{2} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a^{2}} + \frac{25 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 12 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 112 i \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 198 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 12 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 112 i \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 25 \, B c^{2}}{a^{2} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{4}}}{6 \, f}"," ",0,"-1/6*(6*B*c^2*log(tan(1/2*f*x + 1/2*e) + 1)/a^2 - 12*B*c^2*log(tan(1/2*f*x + 1/2*e) - I)/a^2 + 6*B*c^2*log(tan(1/2*f*x + 1/2*e) - 1)/a^2 + (25*B*c^2*tan(1/2*f*x + 1/2*e)^4 + 12*A*c^2*tan(1/2*f*x + 1/2*e)^3 - 112*I*B*c^2*tan(1/2*f*x + 1/2*e)^3 - 198*B*c^2*tan(1/2*f*x + 1/2*e)^2 - 12*A*c^2*tan(1/2*f*x + 1/2*e) + 112*I*B*c^2*tan(1/2*f*x + 1/2*e) + 25*B*c^2)/(a^2*(tan(1/2*f*x + 1/2*e) - I)^4))/f","B",0
720,1,84,0,1.727487," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{2 \, {\left(A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - i \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{a^{2} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{4}}"," ",0,"-2*(A*c*tan(1/2*f*x + 1/2*e)^3 - I*A*c*tan(1/2*f*x + 1/2*e)^2 - B*c*tan(1/2*f*x + 1/2*e)^2 - A*c*tan(1/2*f*x + 1/2*e))/(a^2*f*(tan(1/2*f*x + 1/2*e) - I)^4)","A",0
721,1,117,0,2.843873," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(-i \, A - B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{2}} - \frac{2 \, {\left(-i \, A - B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{2}} - \frac{3 i \, A \tan\left(f x + e\right)^{2} + 3 \, B \tan\left(f x + e\right)^{2} + 10 \, A \tan\left(f x + e\right) - 10 i \, B \tan\left(f x + e\right) - 11 i \, A - 3 \, B}{a^{2} {\left(\tan\left(f x + e\right) - i\right)}^{2}}}{16 \, f}"," ",0,"-1/16*(2*(-I*A - B)*log(tan(f*x + e) + I)/a^2 - 2*(-I*A - B)*log(tan(f*x + e) - I)/a^2 - (3*I*A*tan(f*x + e)^2 + 3*B*tan(f*x + e)^2 + 10*A*tan(f*x + e) - 10*I*B*tan(f*x + e) - 11*I*A - 3*B)/(a^2*(tan(f*x + e) - I)^2))/f","A",0
722,1,169,0,4.746628," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","\frac{\frac{2 \, {\left(3 i \, A + B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{2} c} + \frac{2 \, {\left(-3 i \, A - B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{2} c} - \frac{2 \, {\left(3 \, A \tan\left(f x + e\right) - i \, B \tan\left(f x + e\right) + 5 i \, A + 3 \, B\right)}}{a^{2} c {\left(-i \, \tan\left(f x + e\right) + 1\right)}} + \frac{9 i \, A \tan\left(f x + e\right)^{2} + 3 \, B \tan\left(f x + e\right)^{2} + 26 \, A \tan\left(f x + e\right) - 6 i \, B \tan\left(f x + e\right) - 21 i \, A + B}{a^{2} c {\left(\tan\left(f x + e\right) - i\right)}^{2}}}{32 \, f}"," ",0,"1/32*(2*(3*I*A + B)*log(tan(f*x + e) + I)/(a^2*c) + 2*(-3*I*A - B)*log(tan(f*x + e) - I)/(a^2*c) - 2*(3*A*tan(f*x + e) - I*B*tan(f*x + e) + 5*I*A + 3*B)/(a^2*c*(-I*tan(f*x + e) + 1)) + (9*I*A*tan(f*x + e)^2 + 3*B*tan(f*x + e)^2 + 26*A*tan(f*x + e) - 6*I*B*tan(f*x + e) - 21*I*A + B)/(a^2*c*(tan(f*x + e) - I)^2))/f","A",0
723,1,67,0,2.913748," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","\frac{\frac{3 \, {\left(f x + e\right)} A}{a^{2} c^{2}} + \frac{3 \, A \tan\left(f x + e\right)^{3} + 5 \, A \tan\left(f x + e\right) - 2 \, B}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{2} a^{2} c^{2}}}{8 \, f}"," ",0,"1/8*(3*(f*x + e)*A/(a^2*c^2) + (3*A*tan(f*x + e)^3 + 5*A*tan(f*x + e) - 2*B)/((tan(f*x + e)^2 + 1)^2*a^2*c^2))/f","A",0
724,1,219,0,2.890602," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-5 i \, A + B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{2} c^{3}} + \frac{6 \, {\left(5 i \, A - B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{2} c^{3}} + \frac{3 \, {\left(15 i \, A \tan\left(f x + e\right)^{2} - 3 \, B \tan\left(f x + e\right)^{2} + 38 \, A \tan\left(f x + e\right) + 10 i \, B \tan\left(f x + e\right) - 25 i \, A + 9 \, B\right)}}{a^{2} c^{3} {\left(i \, \tan\left(f x + e\right) + 1\right)}^{2}} + \frac{55 i \, A \tan\left(f x + e\right)^{3} - 11 \, B \tan\left(f x + e\right)^{3} - 201 \, A \tan\left(f x + e\right)^{2} - 33 i \, B \tan\left(f x + e\right)^{2} - 255 i \, A \tan\left(f x + e\right) + 27 \, B \tan\left(f x + e\right) + 117 \, A - 3 i \, B}{a^{2} c^{3} {\left(\tan\left(f x + e\right) + i\right)}^{3}}}{192 \, f}"," ",0,"-1/192*(6*(-5*I*A + B)*log(tan(f*x + e) + I)/(a^2*c^3) + 6*(5*I*A - B)*log(tan(f*x + e) - I)/(a^2*c^3) + 3*(15*I*A*tan(f*x + e)^2 - 3*B*tan(f*x + e)^2 + 38*A*tan(f*x + e) + 10*I*B*tan(f*x + e) - 25*I*A + 9*B)/(a^2*c^3*(I*tan(f*x + e) + 1)^2) + (55*I*A*tan(f*x + e)^3 - 11*B*tan(f*x + e)^3 - 201*A*tan(f*x + e)^2 - 33*I*B*tan(f*x + e)^2 - 255*I*A*tan(f*x + e) + 27*B*tan(f*x + e) + 117*A - 3*I*B)/(a^2*c^3*(tan(f*x + e) + I)^3))/f","A",0
725,1,243,0,3.394409," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","\frac{\frac{12 \, {\left(15 i \, A - 5 \, B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{2} c^{4}} + \frac{12 \, {\left(-15 i \, A + 5 \, B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{2} c^{4}} - \frac{6 \, {\left(-45 i \, A \tan\left(f x + e\right)^{2} + 15 \, B \tan\left(f x + e\right)^{2} - 110 \, A \tan\left(f x + e\right) - 42 i \, B \tan\left(f x + e\right) + 69 i \, A - 31 \, B\right)}}{a^{2} c^{4} {\left(\tan\left(f x + e\right) - i\right)}^{2}} + \frac{-375 i \, A \tan\left(f x + e\right)^{4} + 125 \, B \tan\left(f x + e\right)^{4} + 1740 \, A \tan\left(f x + e\right)^{3} + 548 i \, B \tan\left(f x + e\right)^{3} + 3114 i \, A \tan\left(f x + e\right)^{2} - 894 \, B \tan\left(f x + e\right)^{2} - 2604 \, A \tan\left(f x + e\right) - 612 i \, B \tan\left(f x + e\right) - 903 i \, A + 93 \, B}{a^{2} c^{4} {\left(\tan\left(f x + e\right) + i\right)}^{4}}}{1536 \, f}"," ",0,"1/1536*(12*(15*I*A - 5*B)*log(tan(f*x + e) + I)/(a^2*c^4) + 12*(-15*I*A + 5*B)*log(tan(f*x + e) - I)/(a^2*c^4) - 6*(-45*I*A*tan(f*x + e)^2 + 15*B*tan(f*x + e)^2 - 110*A*tan(f*x + e) - 42*I*B*tan(f*x + e) + 69*I*A - 31*B)/(a^2*c^4*(tan(f*x + e) - I)^2) + (-375*I*A*tan(f*x + e)^4 + 125*B*tan(f*x + e)^4 + 1740*A*tan(f*x + e)^3 + 548*I*B*tan(f*x + e)^3 + 3114*I*A*tan(f*x + e)^2 - 894*B*tan(f*x + e)^2 - 2604*A*tan(f*x + e) - 612*I*B*tan(f*x + e) - 903*I*A + 93*B)/(a^2*c^4*(tan(f*x + e) + I)^4))/f","A",0
726,1,269,0,4.859353," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(f*x+e))^5,x, algorithm=""giac"")","-\frac{\frac{20 \, {\left(-21 i \, A + 9 \, B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{2} c^{5}} + \frac{20 \, {\left(21 i \, A - 9 \, B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{2} c^{5}} + \frac{10 \, {\left(63 i \, A \tan\left(f x + e\right)^{2} - 27 \, B \tan\left(f x + e\right)^{2} + 150 \, A \tan\left(f x + e\right) + 70 i \, B \tan\left(f x + e\right) - 91 i \, A + 47 \, B\right)}}{a^{2} c^{5} {\left(-i \, \tan\left(f x + e\right) - 1\right)}^{2}} + \frac{959 i \, A \tan\left(f x + e\right)^{5} - 411 \, B \tan\left(f x + e\right)^{5} - 5395 \, A \tan\left(f x + e\right)^{4} - 2255 i \, B \tan\left(f x + e\right)^{4} - 12390 i \, A \tan\left(f x + e\right)^{3} + 4990 \, B \tan\left(f x + e\right)^{3} + 14710 \, A \tan\left(f x + e\right)^{2} + 5550 i \, B \tan\left(f x + e\right)^{2} + 9275 i \, A \tan\left(f x + e\right) - 3015 \, B \tan\left(f x + e\right) - 2647 \, A - 483 i \, B}{a^{2} c^{5} {\left(\tan\left(f x + e\right) + i\right)}^{5}}}{5120 \, f}"," ",0,"-1/5120*(20*(-21*I*A + 9*B)*log(tan(f*x + e) + I)/(a^2*c^5) + 20*(21*I*A - 9*B)*log(tan(f*x + e) - I)/(a^2*c^5) + 10*(63*I*A*tan(f*x + e)^2 - 27*B*tan(f*x + e)^2 + 150*A*tan(f*x + e) + 70*I*B*tan(f*x + e) - 91*I*A + 47*B)/(a^2*c^5*(-I*tan(f*x + e) - 1)^2) + (959*I*A*tan(f*x + e)^5 - 411*B*tan(f*x + e)^5 - 5395*A*tan(f*x + e)^4 - 2255*I*B*tan(f*x + e)^4 - 12390*I*A*tan(f*x + e)^3 + 4990*B*tan(f*x + e)^3 + 14710*A*tan(f*x + e)^2 + 5550*I*B*tan(f*x + e)^2 + 9275*I*A*tan(f*x + e) - 3015*B*tan(f*x + e) - 2647*A - 483*I*B)/(a^2*c^5*(tan(f*x + e) + I)^5))/f","A",0
727,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^n/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^n/(I*a*tan(f*x + e) + a)^3, x)","F",0
728,1,515,0,5.712904," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^5/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(\frac{15 \, {\left(4 i \, A c^{5} - 16 \, B c^{5}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a^{3}} - \frac{15 \, {\left(8 i \, A c^{5} - 32 \, B c^{5}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a^{3}} - \frac{15 \, {\left(-4 i \, A c^{5} + 16 \, B c^{5}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a^{3}} - \frac{15 \, {\left(6 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 24 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 8 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 12 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 49 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 8 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6 i \, A c^{5} - 24 \, B c^{5}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)}^{2} a^{3}} + \frac{294 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 1176 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 1884 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 7416 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 4890 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 19320 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 6920 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 26480 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 4890 i \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 19320 \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1884 \, A c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 7416 i \, B c^{5} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 294 i \, A c^{5} + 1176 \, B c^{5}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{6}}\right)}}{15 \, f}"," ",0,"-2/15*(15*(4*I*A*c^5 - 16*B*c^5)*log(tan(1/2*f*x + 1/2*e) + 1)/a^3 - 15*(8*I*A*c^5 - 32*B*c^5)*log(tan(1/2*f*x + 1/2*e) - I)/a^3 - 15*(-4*I*A*c^5 + 16*B*c^5)*log(tan(1/2*f*x + 1/2*e) - 1)/a^3 - 15*(6*I*A*c^5*tan(1/2*f*x + 1/2*e)^4 - 24*B*c^5*tan(1/2*f*x + 1/2*e)^4 - A*c^5*tan(1/2*f*x + 1/2*e)^3 - 8*I*B*c^5*tan(1/2*f*x + 1/2*e)^3 - 12*I*A*c^5*tan(1/2*f*x + 1/2*e)^2 + 49*B*c^5*tan(1/2*f*x + 1/2*e)^2 + A*c^5*tan(1/2*f*x + 1/2*e) + 8*I*B*c^5*tan(1/2*f*x + 1/2*e) + 6*I*A*c^5 - 24*B*c^5)/((tan(1/2*f*x + 1/2*e)^2 - 1)^2*a^3) + (294*I*A*c^5*tan(1/2*f*x + 1/2*e)^6 - 1176*B*c^5*tan(1/2*f*x + 1/2*e)^6 + 1884*A*c^5*tan(1/2*f*x + 1/2*e)^5 + 7416*I*B*c^5*tan(1/2*f*x + 1/2*e)^5 - 4890*I*A*c^5*tan(1/2*f*x + 1/2*e)^4 + 19320*B*c^5*tan(1/2*f*x + 1/2*e)^4 - 6920*A*c^5*tan(1/2*f*x + 1/2*e)^3 - 26480*I*B*c^5*tan(1/2*f*x + 1/2*e)^3 + 4890*I*A*c^5*tan(1/2*f*x + 1/2*e)^2 - 19320*B*c^5*tan(1/2*f*x + 1/2*e)^2 + 1884*A*c^5*tan(1/2*f*x + 1/2*e) + 7416*I*B*c^5*tan(1/2*f*x + 1/2*e) - 294*I*A*c^5 + 1176*B*c^5)/(a^3*(tan(1/2*f*x + 1/2*e) - I)^6))/f","B",0
729,1,429,0,4.926624," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^4/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{30 \, {\left(-i \, A c^{4} + 7 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a^{3}} + \frac{60 \, {\left(i \, A c^{4} - 7 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a^{3}} - \frac{30 \, {\left(i \, A c^{4} - 7 \, B c^{4}\right)} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a^{3}} - \frac{30 \, {\left(-i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 7 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 2 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + i \, A c^{4} - 7 \, B c^{4}\right)}}{{\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 1\right)} a^{3}} - \frac{147 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 1029 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} + 1002 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} + 6534 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 2445 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 17115 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 3820 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 23860 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2445 i \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 17115 \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 1002 \, A c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 6534 i \, B c^{4} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 147 i \, A c^{4} + 1029 \, B c^{4}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{6}}}{30 \, f}"," ",0,"1/30*(30*(-I*A*c^4 + 7*B*c^4)*log(tan(1/2*f*x + 1/2*e) + 1)/a^3 + 60*(I*A*c^4 - 7*B*c^4)*log(tan(1/2*f*x + 1/2*e) - I)/a^3 - 30*(I*A*c^4 - 7*B*c^4)*log(tan(1/2*f*x + 1/2*e) - 1)/a^3 - 30*(-I*A*c^4*tan(1/2*f*x + 1/2*e)^2 + 7*B*c^4*tan(1/2*f*x + 1/2*e)^2 + 2*I*B*c^4*tan(1/2*f*x + 1/2*e) + I*A*c^4 - 7*B*c^4)/((tan(1/2*f*x + 1/2*e)^2 - 1)*a^3) - (147*I*A*c^4*tan(1/2*f*x + 1/2*e)^6 - 1029*B*c^4*tan(1/2*f*x + 1/2*e)^6 + 1002*A*c^4*tan(1/2*f*x + 1/2*e)^5 + 6534*I*B*c^4*tan(1/2*f*x + 1/2*e)^5 - 2445*I*A*c^4*tan(1/2*f*x + 1/2*e)^4 + 17115*B*c^4*tan(1/2*f*x + 1/2*e)^4 - 3820*A*c^4*tan(1/2*f*x + 1/2*e)^3 - 23860*I*B*c^4*tan(1/2*f*x + 1/2*e)^3 + 2445*I*A*c^4*tan(1/2*f*x + 1/2*e)^2 - 17115*B*c^4*tan(1/2*f*x + 1/2*e)^2 + 1002*A*c^4*tan(1/2*f*x + 1/2*e) + 6534*I*B*c^4*tan(1/2*f*x + 1/2*e) - 147*I*A*c^4 + 1029*B*c^4)/(a^3*(tan(1/2*f*x + 1/2*e) - I)^6))/f","B",0
730,1,255,0,3.259947," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^3/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{30 \, B c^{3} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) + 1\right)}{a^{3}} - \frac{60 \, B c^{3} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}{a^{3}} + \frac{30 \, B c^{3} \log\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 1\right)}{a^{3}} + \frac{147 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{6} - 60 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 942 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 2445 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} + 200 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 3620 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2445 \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} - 60 \, A c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 942 i \, B c^{3} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - 147 \, B c^{3}}{a^{3} {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{6}}}{30 \, f}"," ",0,"1/30*(30*B*c^3*log(tan(1/2*f*x + 1/2*e) + 1)/a^3 - 60*B*c^3*log(tan(1/2*f*x + 1/2*e) - I)/a^3 + 30*B*c^3*log(tan(1/2*f*x + 1/2*e) - 1)/a^3 + (147*B*c^3*tan(1/2*f*x + 1/2*e)^6 - 60*A*c^3*tan(1/2*f*x + 1/2*e)^5 - 942*I*B*c^3*tan(1/2*f*x + 1/2*e)^5 - 2445*B*c^3*tan(1/2*f*x + 1/2*e)^4 + 200*A*c^3*tan(1/2*f*x + 1/2*e)^3 + 3620*I*B*c^3*tan(1/2*f*x + 1/2*e)^3 + 2445*B*c^3*tan(1/2*f*x + 1/2*e)^2 - 60*A*c^3*tan(1/2*f*x + 1/2*e) - 942*I*B*c^3*tan(1/2*f*x + 1/2*e) - 147*B*c^3)/(a^3*(tan(1/2*f*x + 1/2*e) - I)^6))/f","B",0
731,1,165,0,2.855456," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^2/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 3 i \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 3 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 8 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} - 2 i \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 3 i \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c^{2} \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{3 \, a^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{6}}"," ",0,"-2/3*(3*A*c^2*tan(1/2*f*x + 1/2*e)^5 - 3*I*A*c^2*tan(1/2*f*x + 1/2*e)^4 - 3*B*c^2*tan(1/2*f*x + 1/2*e)^4 - 8*A*c^2*tan(1/2*f*x + 1/2*e)^3 - 2*I*B*c^2*tan(1/2*f*x + 1/2*e)^3 + 3*I*A*c^2*tan(1/2*f*x + 1/2*e)^2 + 3*B*c^2*tan(1/2*f*x + 1/2*e)^2 + 3*A*c^2*tan(1/2*f*x + 1/2*e))/(a^3*f*(tan(1/2*f*x + 1/2*e) - I)^6)","B",0
732,1,149,0,2.635300," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{2 \, {\left(3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{5} - 6 i \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{4} - 10 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 2 i \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{3} + 6 i \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, B c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)^{2} + 3 \, A c \tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right)\right)}}{3 \, a^{3} f {\left(\tan\left(\frac{1}{2} \, f x + \frac{1}{2} \, e\right) - i\right)}^{6}}"," ",0,"-2/3*(3*A*c*tan(1/2*f*x + 1/2*e)^5 - 6*I*A*c*tan(1/2*f*x + 1/2*e)^4 - 3*B*c*tan(1/2*f*x + 1/2*e)^4 - 10*A*c*tan(1/2*f*x + 1/2*e)^3 + 2*I*B*c*tan(1/2*f*x + 1/2*e)^3 + 6*I*A*c*tan(1/2*f*x + 1/2*e)^2 + 3*B*c*tan(1/2*f*x + 1/2*e)^2 + 3*A*c*tan(1/2*f*x + 1/2*e))/(a^3*f*(tan(1/2*f*x + 1/2*e) - I)^6)","B",0
733,1,140,0,2.037679," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(i \, A + B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{3}} + \frac{6 \, {\left(-i \, A - B\right)} \log\left(i \, \tan\left(f x + e\right) - 1\right)}{a^{3}} + \frac{-11 i \, A \tan\left(f x + e\right)^{3} - 11 \, B \tan\left(f x + e\right)^{3} - 45 \, A \tan\left(f x + e\right)^{2} + 45 i \, B \tan\left(f x + e\right)^{2} + 69 i \, A \tan\left(f x + e\right) + 69 \, B \tan\left(f x + e\right) + 51 \, A - 19 i \, B}{a^{3} {\left(\tan\left(f x + e\right) - i\right)}^{3}}}{96 \, f}"," ",0,"-1/96*(6*(I*A + B)*log(tan(f*x + e) - I)/a^3 + 6*(-I*A - B)*log(I*tan(f*x + e) - 1)/a^3 + (-11*I*A*tan(f*x + e)^3 - 11*B*tan(f*x + e)^3 - 45*A*tan(f*x + e)^2 + 45*I*B*tan(f*x + e)^2 + 69*I*A*tan(f*x + e) + 69*B*tan(f*x + e) + 51*A - 19*I*B)/(a^3*(tan(f*x + e) - I)^3))/f","A",0
734,1,192,0,2.166665," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e)),x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-2 i \, A - B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{3} c} + \frac{6 \, {\left(2 i \, A + B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{3} c} + \frac{6 \, {\left(2 i \, A \tan\left(f x + e\right) + B \tan\left(f x + e\right) - 3 \, A + 2 i \, B\right)}}{a^{3} c {\left(\tan\left(f x + e\right) + i\right)}} + \frac{-22 i \, A \tan\left(f x + e\right)^{3} - 11 \, B \tan\left(f x + e\right)^{3} - 84 \, A \tan\left(f x + e\right)^{2} + 39 i \, B \tan\left(f x + e\right)^{2} + 114 i \, A \tan\left(f x + e\right) + 45 \, B \tan\left(f x + e\right) + 60 \, A - 9 i \, B}{a^{3} c {\left(\tan\left(f x + e\right) - i\right)}^{3}}}{96 \, f}"," ",0,"-1/96*(6*(-2*I*A - B)*log(tan(f*x + e) + I)/(a^3*c) + 6*(2*I*A + B)*log(tan(f*x + e) - I)/(a^3*c) + 6*(2*I*A*tan(f*x + e) + B*tan(f*x + e) - 3*A + 2*I*B)/(a^3*c*(tan(f*x + e) + I)) + (-22*I*A*tan(f*x + e)^3 - 11*B*tan(f*x + e)^3 - 84*A*tan(f*x + e)^2 + 39*I*B*tan(f*x + e)^2 + 114*I*A*tan(f*x + e) + 45*B*tan(f*x + e) + 60*A - 9*I*B)/(a^3*c*(tan(f*x + e) - I)^3))/f","A",0
735,1,219,0,3.809232," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{6 \, {\left(-5 i \, A - B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{3} c^{2}} + \frac{6 \, {\left(5 i \, A + B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{3} c^{2}} + \frac{3 \, {\left(-15 i \, A \tan\left(f x + e\right)^{2} - 3 \, B \tan\left(f x + e\right)^{2} + 38 \, A \tan\left(f x + e\right) - 10 i \, B \tan\left(f x + e\right) + 25 i \, A + 9 \, B\right)}}{a^{3} c^{2} {\left(-i \, \tan\left(f x + e\right) + 1\right)}^{2}} + \frac{-55 i \, A \tan\left(f x + e\right)^{3} - 11 \, B \tan\left(f x + e\right)^{3} - 201 \, A \tan\left(f x + e\right)^{2} + 33 i \, B \tan\left(f x + e\right)^{2} + 255 i \, A \tan\left(f x + e\right) + 27 \, B \tan\left(f x + e\right) + 117 \, A + 3 i \, B}{a^{3} c^{2} {\left(\tan\left(f x + e\right) - i\right)}^{3}}}{192 \, f}"," ",0,"-1/192*(6*(-5*I*A - B)*log(tan(f*x + e) + I)/(a^3*c^2) + 6*(5*I*A + B)*log(tan(f*x + e) - I)/(a^3*c^2) + 3*(-15*I*A*tan(f*x + e)^2 - 3*B*tan(f*x + e)^2 + 38*A*tan(f*x + e) - 10*I*B*tan(f*x + e) + 25*I*A + 9*B)/(a^3*c^2*(-I*tan(f*x + e) + 1)^2) + (-55*I*A*tan(f*x + e)^3 - 11*B*tan(f*x + e)^3 - 201*A*tan(f*x + e)^2 + 33*I*B*tan(f*x + e)^2 + 255*I*A*tan(f*x + e) + 27*B*tan(f*x + e) + 117*A + 3*I*B)/(a^3*c^2*(tan(f*x + e) - I)^3))/f","A",0
736,1,79,0,3.166448," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e))^3,x, algorithm=""giac"")","\frac{\frac{15 \, {\left(f x + e\right)} A}{a^{3} c^{3}} + \frac{15 \, A \tan\left(f x + e\right)^{5} + 40 \, A \tan\left(f x + e\right)^{3} + 33 \, A \tan\left(f x + e\right) - 8 \, B}{{\left(\tan\left(f x + e\right)^{2} + 1\right)}^{3} a^{3} c^{3}}}{48 \, f}"," ",0,"1/48*(15*(f*x + e)*A/(a^3*c^3) + (15*A*tan(f*x + e)^5 + 40*A*tan(f*x + e)^3 + 33*A*tan(f*x + e) - 8*B)/((tan(f*x + e)^2 + 1)^3*a^3*c^3))/f","A",0
737,1,271,0,3.850313," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e))^4,x, algorithm=""giac"")","\frac{\frac{12 \, {\left(35 i \, A - 5 \, B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{3} c^{4}} - \frac{12 \, {\left(35 i \, A - 5 \, B\right)} \log\left(-i \, \tan\left(f x + e\right) - 1\right)}{a^{3} c^{4}} + \frac{2 \, {\left(385 \, A \tan\left(f x + e\right)^{3} + 55 i \, B \tan\left(f x + e\right)^{3} - 1335 i \, A \tan\left(f x + e\right)^{2} + 225 \, B \tan\left(f x + e\right)^{2} - 1575 \, A \tan\left(f x + e\right) - 321 i \, B \tan\left(f x + e\right) + 641 i \, A - 167 \, B\right)}}{a^{3} c^{4} {\left(i \, \tan\left(f x + e\right) + 1\right)}^{3}} + \frac{-875 i \, A \tan\left(f x + e\right)^{4} + 125 \, B \tan\left(f x + e\right)^{4} + 3980 \, A \tan\left(f x + e\right)^{3} + 500 i \, B \tan\left(f x + e\right)^{3} + 6930 i \, A \tan\left(f x + e\right)^{2} - 702 \, B \tan\left(f x + e\right)^{2} - 5548 \, A \tan\left(f x + e\right) - 340 i \, B \tan\left(f x + e\right) - 1771 i \, A - 35 \, B}{a^{3} c^{4} {\left(\tan\left(f x + e\right) + i\right)}^{4}}}{3072 \, f}"," ",0,"1/3072*(12*(35*I*A - 5*B)*log(tan(f*x + e) + I)/(a^3*c^4) - 12*(35*I*A - 5*B)*log(-I*tan(f*x + e) - 1)/(a^3*c^4) + 2*(385*A*tan(f*x + e)^3 + 55*I*B*tan(f*x + e)^3 - 1335*I*A*tan(f*x + e)^2 + 225*B*tan(f*x + e)^2 - 1575*A*tan(f*x + e) - 321*I*B*tan(f*x + e) + 641*I*A - 167*B)/(a^3*c^4*(I*tan(f*x + e) + 1)^3) + (-875*I*A*tan(f*x + e)^4 + 125*B*tan(f*x + e)^4 + 3980*A*tan(f*x + e)^3 + 500*I*B*tan(f*x + e)^3 + 6930*I*A*tan(f*x + e)^2 - 702*B*tan(f*x + e)^2 - 5548*A*tan(f*x + e) - 340*I*B*tan(f*x + e) - 1771*I*A - 35*B)/(a^3*c^4*(tan(f*x + e) + I)^4))/f","A",0
738,1,291,0,5.282590," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e))^5,x, algorithm=""giac"")","-\frac{\frac{60 \, {\left(-28 i \, A + 7 \, B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{3} c^{5}} + \frac{60 \, {\left(28 i \, A - 7 \, B\right)} \log\left(\tan\left(f x + e\right) - i\right)}{a^{3} c^{5}} + \frac{10 \, {\left(-308 i \, A \tan\left(f x + e\right)^{3} + 77 \, B \tan\left(f x + e\right)^{3} - 1050 \, A \tan\left(f x + e\right)^{2} - 285 i \, B \tan\left(f x + e\right)^{2} + 1212 i \, A \tan\left(f x + e\right) - 363 \, B \tan\left(f x + e\right) + 478 \, A + 163 i \, B\right)}}{a^{3} c^{5} {\left(\tan\left(f x + e\right) - i\right)}^{3}} + \frac{3836 i \, A \tan\left(f x + e\right)^{5} - 959 \, B \tan\left(f x + e\right)^{5} - 21280 \, A \tan\left(f x + e\right)^{4} - 5095 i \, B \tan\left(f x + e\right)^{4} - 47960 i \, A \tan\left(f x + e\right)^{3} + 10790 \, B \tan\left(f x + e\right)^{3} + 55360 \, A \tan\left(f x + e\right)^{2} + 11230 i \, B \tan\left(f x + e\right)^{2} + 33260 i \, A \tan\left(f x + e\right) - 5435 \, B \tan\left(f x + e\right) - 8608 \, A - 667 i \, B}{a^{3} c^{5} {\left(\tan\left(f x + e\right) + i\right)}^{5}}}{15360 \, f}"," ",0,"-1/15360*(60*(-28*I*A + 7*B)*log(tan(f*x + e) + I)/(a^3*c^5) + 60*(28*I*A - 7*B)*log(tan(f*x + e) - I)/(a^3*c^5) + 10*(-308*I*A*tan(f*x + e)^3 + 77*B*tan(f*x + e)^3 - 1050*A*tan(f*x + e)^2 - 285*I*B*tan(f*x + e)^2 + 1212*I*A*tan(f*x + e) - 363*B*tan(f*x + e) + 478*A + 163*I*B)/(a^3*c^5*(tan(f*x + e) - I)^3) + (3836*I*A*tan(f*x + e)^5 - 959*B*tan(f*x + e)^5 - 21280*A*tan(f*x + e)^4 - 5095*I*B*tan(f*x + e)^4 - 47960*I*A*tan(f*x + e)^3 + 10790*B*tan(f*x + e)^3 + 55360*A*tan(f*x + e)^2 + 11230*I*B*tan(f*x + e)^2 + 33260*I*A*tan(f*x + e) - 5435*B*tan(f*x + e) - 8608*A - 667*I*B)/(a^3*c^5*(tan(f*x + e) + I)^5))/f","A",0
739,1,319,0,4.381150," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e))^6,x, algorithm=""giac"")","\frac{\frac{60 \, {\left(21 i \, A - 7 \, B\right)} \log\left(\tan\left(f x + e\right) + i\right)}{a^{3} c^{6}} - \frac{60 \, {\left(21 i \, A - 7 \, B\right)} \log\left(i \, \tan\left(f x + e\right) + 1\right)}{a^{3} c^{6}} - \frac{10 \, {\left(231 \, A \tan\left(f x + e\right)^{3} + 77 i \, B \tan\left(f x + e\right)^{3} - 777 i \, A \tan\left(f x + e\right)^{2} + 273 \, B \tan\left(f x + e\right)^{2} - 882 \, A \tan\left(f x + e\right) - 330 i \, B \tan\left(f x + e\right) + 340 i \, A - 138 \, B\right)}}{a^{3} c^{6} {\left(-i \, \tan\left(f x + e\right) - 1\right)}^{3}} + \frac{-3087 i \, A \tan\left(f x + e\right)^{6} + 1029 \, B \tan\left(f x + e\right)^{6} + 20202 \, A \tan\left(f x + e\right)^{5} + 6594 i \, B \tan\left(f x + e\right)^{5} + 55755 i \, A \tan\left(f x + e\right)^{4} - 17685 \, B \tan\left(f x + e\right)^{4} - 83540 \, A \tan\left(f x + e\right)^{3} - 25380 i \, B \tan\left(f x + e\right)^{3} - 72405 i \, A \tan\left(f x + e\right)^{2} + 20415 \, B \tan\left(f x + e\right)^{2} + 35106 \, A \tan\left(f x + e\right) + 8442 i \, B \tan\left(f x + e\right) + 7761 i \, A - 1127 \, B}{a^{3} c^{6} {\left(\tan\left(f x + e\right) + i\right)}^{6}}}{15360 \, f}"," ",0,"1/15360*(60*(21*I*A - 7*B)*log(tan(f*x + e) + I)/(a^3*c^6) - 60*(21*I*A - 7*B)*log(I*tan(f*x + e) + 1)/(a^3*c^6) - 10*(231*A*tan(f*x + e)^3 + 77*I*B*tan(f*x + e)^3 - 777*I*A*tan(f*x + e)^2 + 273*B*tan(f*x + e)^2 - 882*A*tan(f*x + e) - 330*I*B*tan(f*x + e) + 340*I*A - 138*B)/(a^3*c^6*(-I*tan(f*x + e) - 1)^3) + (-3087*I*A*tan(f*x + e)^6 + 1029*B*tan(f*x + e)^6 + 20202*A*tan(f*x + e)^5 + 6594*I*B*tan(f*x + e)^5 + 55755*I*A*tan(f*x + e)^4 - 17685*B*tan(f*x + e)^4 - 83540*A*tan(f*x + e)^3 - 25380*I*B*tan(f*x + e)^3 - 72405*I*A*tan(f*x + e)^2 + 20415*B*tan(f*x + e)^2 + 35106*A*tan(f*x + e) + 8442*I*B*tan(f*x + e) + 7761*I*A - 1127*B)/(a^3*c^6*(tan(f*x + e) + I)^6))/f","A",0
740,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
741,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
742,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
743,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(a+I*a*tan(f*x+e))*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\int {\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)*sqrt(-I*c*tan(f*x + e) + c), x)","F",0
744,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}}{\sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)/sqrt(-I*c*tan(f*x + e) + c), x)","F",0
745,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)/(-I*c*tan(f*x + e) + c)^(3/2), x)","F",0
746,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)/(-I*c*tan(f*x + e) + c)^(5/2), x)","F",0
747,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)/(-I*c*tan(f*x + e) + c)^(7/2), x)","F",0
748,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
749,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
750,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
751,-1,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
752,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}{\sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^2/sqrt(-I*c*tan(f*x + e) + c), x)","F",0
753,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^2/(-I*c*tan(f*x + e) + c)^(3/2), x)","F",0
754,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^2/(-I*c*tan(f*x + e) + c)^(5/2), x)","F",0
755,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^2*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^2/(-I*c*tan(f*x + e) + c)^(7/2), x)","F",0
756,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
757,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
758,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
759,-1,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
760,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}{\sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^3/sqrt(-I*c*tan(f*x + e) + c), x)","F",0
761,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^3/(-I*c*tan(f*x + e) + c)^(3/2), x)","F",0
762,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^3/(-I*c*tan(f*x + e) + c)^(5/2), x)","F",0
763,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^3*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^3/(-I*c*tan(f*x + e) + c)^(7/2), x)","F",0
764,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}{i \, a \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(7/2)/(I*a*tan(f*x + e) + a), x)","F",0
765,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}{i \, a \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(5/2)/(I*a*tan(f*x + e) + a), x)","F",0
766,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}{i \, a \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(3/2)/(I*a*tan(f*x + e) + a), x)","F",0
767,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}}{i \, a \tan\left(f x + e\right) + a}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(-I*c*tan(f*x + e) + c)/(I*a*tan(f*x + e) + a), x)","F",0
768,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e)),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)*sqrt(-I*c*tan(f*x + e) + c)), x)","F",0
769,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)*(-I*c*tan(f*x + e) + c)^(3/2)), x)","F",0
770,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)*(-I*c*tan(f*x + e) + c)^(5/2)), x)","F",0
771,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(9/2)/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{9}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(9/2)/(I*a*tan(f*x + e) + a)^2, x)","F",0
772,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(7/2)/(I*a*tan(f*x + e) + a)^2, x)","F",0
773,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(5/2)/(I*a*tan(f*x + e) + a)^2, x)","F",0
774,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(3/2)/(I*a*tan(f*x + e) + a)^2, x)","F",0
775,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(-I*c*tan(f*x + e) + c)/(I*a*tan(f*x + e) + a)^2, x)","F",0
776,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2} \sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^2*sqrt(-I*c*tan(f*x + e) + c)), x)","F",0
777,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^2*(-I*c*tan(f*x + e) + c)^(3/2)), x)","F",0
778,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^2/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{2} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^2*(-I*c*tan(f*x + e) + c)^(5/2)), x)","F",0
779,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(9/2)/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{9}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(9/2)/(I*a*tan(f*x + e) + a)^3, x)","F",0
780,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(7/2)/(I*a*tan(f*x + e) + a)^3, x)","F",0
781,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(5/2)/(I*a*tan(f*x + e) + a)^3, x)","F",0
782,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(3/2)/(I*a*tan(f*x + e) + a)^3, x)","F",0
783,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(-I*c*tan(f*x + e) + c)/(I*a*tan(f*x + e) + a)^3, x)","F",0
784,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e))^3,x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3} \sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^3*sqrt(-I*c*tan(f*x + e) + c)), x)","F",0
785,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^3*(-I*c*tan(f*x + e) + c)^(3/2)), x)","F",0
786,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^3/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{3} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^3*(-I*c*tan(f*x + e) + c)^(5/2)), x)","F",0
787,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
788,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
789,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
790,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(c-I*c*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\int {\left(B \tan\left(f x + e\right) + A\right)} \sqrt{i \, a \tan\left(f x + e\right) + a} \sqrt{-i \, c \tan\left(f x + e\right) + c}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(I*a*tan(f*x + e) + a)*sqrt(-I*c*tan(f*x + e) + c), x)","F",0
791,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{i \, a \tan\left(f x + e\right) + a}}{\sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(I*a*tan(f*x + e) + a)/sqrt(-I*c*tan(f*x + e) + c), x)","F",0
792,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{i \, a \tan\left(f x + e\right) + a}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(I*a*tan(f*x + e) + a)/(-I*c*tan(f*x + e) + c)^(3/2), x)","F",0
793,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{i \, a \tan\left(f x + e\right) + a}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(I*a*tan(f*x + e) + a)/(-I*c*tan(f*x + e) + c)^(5/2), x)","F",0
794,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{i \, a \tan\left(f x + e\right) + a}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(I*a*tan(f*x + e) + a)/(-I*c*tan(f*x + e) + c)^(7/2), x)","F",0
795,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
796,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
797,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
798,1,565,0,23.464503," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\frac{-3 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(8 i \, f x + 8 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} + i\right) - 12 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(6 i \, f x + 6 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} + i\right) - 18 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(4 i \, f x + 4 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} + i\right) - 12 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} + i\right) + 3 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(8 i \, f x + 8 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} - i\right) + 12 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(6 i \, f x + 6 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} - i\right) + 18 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(4 i \, f x + 4 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} - i\right) + 12 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(2 i \, f x + 2 i \, e\right)} \log\left(e^{\left(i \, f x + i \, e\right)} - i\right) + 10 \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(7 i \, f x + 7 i \, e\right)} + 26 \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(5 i \, f x + 5 i \, e\right)} + 22 \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(3 i \, f x + 3 i \, e\right)} + 6 \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(i \, f x + i \, e\right)} - 3 i \, B a^{\frac{3}{2}} \sqrt{c} \log\left(e^{\left(i \, f x + i \, e\right)} + i\right) + 3 i \, B a^{\frac{3}{2}} \sqrt{c} \log\left(e^{\left(i \, f x + i \, e\right)} - i\right)}{8 \, {\left(f e^{\left(8 i \, f x + 8 i \, e\right)} + 4 \, f e^{\left(6 i \, f x + 6 i \, e\right)} + 6 \, f e^{\left(4 i \, f x + 4 i \, e\right)} + 4 \, f e^{\left(2 i \, f x + 2 i \, e\right)} + f\right)}} - \frac{i \, {\left({\left(8 \, A a^{\frac{3}{2}} \sqrt{c} - i \, B a^{\frac{3}{2}} \sqrt{c}\right)} \arctan\left(e^{\left(i \, f x + i \, e\right)}\right) - \frac{8 \, A a^{\frac{3}{2}} \sqrt{c} e^{\left(3 i \, f x + 3 i \, e\right)} - 7 i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(3 i \, f x + 3 i \, e\right)} + 8 \, A a^{\frac{3}{2}} \sqrt{c} e^{\left(i \, f x + i \, e\right)} - i \, B a^{\frac{3}{2}} \sqrt{c} e^{\left(i \, f x + i \, e\right)}}{{\left(e^{\left(2 i \, f x + 2 i \, e\right)} + 1\right)}^{2}}\right)}}{4 \, f}"," ",0,"1/8*(-3*I*B*a^(3/2)*sqrt(c)*e^(8*I*f*x + 8*I*e)*log(e^(I*f*x + I*e) + I) - 12*I*B*a^(3/2)*sqrt(c)*e^(6*I*f*x + 6*I*e)*log(e^(I*f*x + I*e) + I) - 18*I*B*a^(3/2)*sqrt(c)*e^(4*I*f*x + 4*I*e)*log(e^(I*f*x + I*e) + I) - 12*I*B*a^(3/2)*sqrt(c)*e^(2*I*f*x + 2*I*e)*log(e^(I*f*x + I*e) + I) + 3*I*B*a^(3/2)*sqrt(c)*e^(8*I*f*x + 8*I*e)*log(e^(I*f*x + I*e) - I) + 12*I*B*a^(3/2)*sqrt(c)*e^(6*I*f*x + 6*I*e)*log(e^(I*f*x + I*e) - I) + 18*I*B*a^(3/2)*sqrt(c)*e^(4*I*f*x + 4*I*e)*log(e^(I*f*x + I*e) - I) + 12*I*B*a^(3/2)*sqrt(c)*e^(2*I*f*x + 2*I*e)*log(e^(I*f*x + I*e) - I) + 10*B*a^(3/2)*sqrt(c)*e^(7*I*f*x + 7*I*e) + 26*B*a^(3/2)*sqrt(c)*e^(5*I*f*x + 5*I*e) + 22*B*a^(3/2)*sqrt(c)*e^(3*I*f*x + 3*I*e) + 6*B*a^(3/2)*sqrt(c)*e^(I*f*x + I*e) - 3*I*B*a^(3/2)*sqrt(c)*log(e^(I*f*x + I*e) + I) + 3*I*B*a^(3/2)*sqrt(c)*log(e^(I*f*x + I*e) - I))/(f*e^(8*I*f*x + 8*I*e) + 4*f*e^(6*I*f*x + 6*I*e) + 6*f*e^(4*I*f*x + 4*I*e) + 4*f*e^(2*I*f*x + 2*I*e) + f) - 1/4*I*((8*A*a^(3/2)*sqrt(c) - I*B*a^(3/2)*sqrt(c))*arctan(e^(I*f*x + I*e)) - (8*A*a^(3/2)*sqrt(c)*e^(3*I*f*x + 3*I*e) - 7*I*B*a^(3/2)*sqrt(c)*e^(3*I*f*x + 3*I*e) + 8*A*a^(3/2)*sqrt(c)*e^(I*f*x + I*e) - I*B*a^(3/2)*sqrt(c)*e^(I*f*x + I*e))/(e^(2*I*f*x + 2*I*e) + 1)^2)/f","B",0
799,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{\sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(3/2)/sqrt(-I*c*tan(f*x + e) + c), x)","F",0
800,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(3/2)/(-I*c*tan(f*x + e) + c)^(3/2), x)","F",0
801,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(3/2)/(-I*c*tan(f*x + e) + c)^(5/2), x)","F",0
802,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(3/2)/(-I*c*tan(f*x + e) + c)^(7/2), x)","F",0
803,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(3/2)/(-I*c*tan(f*x + e) + c)^(9/2), x)","F",0
804,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(3/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(11/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(3/2)/(-I*c*tan(f*x + e) + c)^(11/2), x)","F",0
805,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
806,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
807,-1,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
808,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
809,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}{\sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(5/2)/sqrt(-I*c*tan(f*x + e) + c), x)","F",0
810,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(5/2)/(-I*c*tan(f*x + e) + c)^(3/2), x)","F",0
811,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(5/2)/(-I*c*tan(f*x + e) + c)^(5/2), x)","F",0
812,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(5/2)/(-I*c*tan(f*x + e) + c)^(7/2), x)","F",0
813,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(5/2)/(-I*c*tan(f*x + e) + c)^(9/2), x)","F",0
814,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(11/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(5/2)/(-I*c*tan(f*x + e) + c)^(11/2), x)","F",0
815,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(5/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(13/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(5/2)/(-I*c*tan(f*x + e) + c)^(13/2), x)","F",0
816,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(9/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
817,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
818,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
819,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
820,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e)),x, algorithm=""giac"")","\mathit{sage}_{0} x"," ",0,"sage0*x","F",0
821,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{\sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/sqrt(-I*c*tan(f*x + e) + c), x)","F",0
822,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(3/2), x)","F",0
823,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(5/2), x)","F",0
824,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(7/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(7/2), x)","F",0
825,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(9/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{9}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(9/2), x)","F",0
826,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(11/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{11}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(11/2), x)","F",0
827,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(13/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{13}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(13/2), x)","F",0
828,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(15/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{15}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(15/2), x)","F",0
829,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(7/2)*(A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(17/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{7}{2}}}{{\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{17}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(7/2)/(-I*c*tan(f*x + e) + c)^(17/2), x)","F",0
830,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}{\sqrt{i \, a \tan\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(5/2)/sqrt(I*a*tan(f*x + e) + a), x)","F",0
831,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}{\sqrt{i \, a \tan\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(3/2)/sqrt(I*a*tan(f*x + e) + a), x)","F",0
832,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}}{\sqrt{i \, a \tan\left(f x + e\right) + a}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(-I*c*tan(f*x + e) + c)/sqrt(I*a*tan(f*x + e) + a), x)","F",0
833,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(1/2)/(c-I*c*tan(f*x+e))^(1/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{\sqrt{i \, a \tan\left(f x + e\right) + a} \sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/(sqrt(I*a*tan(f*x + e) + a)*sqrt(-I*c*tan(f*x + e) + c)), x)","F",0
834,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(1/2)/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{\sqrt{i \, a \tan\left(f x + e\right) + a} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/(sqrt(I*a*tan(f*x + e) + a)*(-I*c*tan(f*x + e) + c)^(3/2)), x)","F",0
835,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(1/2)/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{\sqrt{i \, a \tan\left(f x + e\right) + a} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/(sqrt(I*a*tan(f*x + e) + a)*(-I*c*tan(f*x + e) + c)^(5/2)), x)","F",0
836,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(7/2)/(I*a*tan(f*x + e) + a)^(3/2), x)","F",0
837,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(5/2)/(I*a*tan(f*x + e) + a)^(3/2), x)","F",0
838,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(3/2)/(I*a*tan(f*x + e) + a)^(3/2), x)","F",0
839,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(-I*c*tan(f*x + e) + c)/(I*a*tan(f*x + e) + a)^(3/2), x)","F",0
840,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}} \sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^(3/2)*sqrt(-I*c*tan(f*x + e) + c)), x)","F",0
841,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(3/2)/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^(3/2)*(-I*c*tan(f*x + e) + c)^(3/2)), x)","F",0
842,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(3/2)/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^(3/2)*(-I*c*tan(f*x + e) + c)^(5/2)), x)","F",0
843,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(9/2)/(a+I*a*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{9}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(9/2)/(I*a*tan(f*x + e) + a)^(5/2), x)","F",0
844,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(7/2)/(a+I*a*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{7}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(7/2)/(I*a*tan(f*x + e) + a)^(5/2), x)","F",0
845,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(5/2)/(a+I*a*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(5/2)/(I*a*tan(f*x + e) + a)^(5/2), x)","F",0
846,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(3/2)/(a+I*a*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(-I*c*tan(f*x + e) + c)^(3/2)/(I*a*tan(f*x + e) + a)^(5/2), x)","F",0
847,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^(1/2)*(A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} \sqrt{-i \, c \tan\left(f x + e\right) + c}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*sqrt(-I*c*tan(f*x + e) + c)/(I*a*tan(f*x + e) + a)^(5/2), x)","F",0
848,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(c-I*c*tan(f*x+e))^(1/2)/(a+I*a*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}} \sqrt{-i \, c \tan\left(f x + e\right) + c}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^(5/2)*sqrt(-I*c*tan(f*x + e) + c)), x)","F",0
849,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(5/2)/(c-I*c*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^(5/2)*(-I*c*tan(f*x + e) + c)^(3/2)), x)","F",0
850,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))/(a+I*a*tan(f*x+e))^(5/2)/(c-I*c*tan(f*x+e))^(5/2),x, algorithm=""giac"")","\int \frac{B \tan\left(f x + e\right) + A}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{5}{2}} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{\frac{5}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)/((I*a*tan(f*x + e) + a)^(5/2)*(-I*c*tan(f*x + e) + c)^(5/2)), x)","F",0
851,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^m*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^n,x, algorithm=""giac"")","\int {\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{m} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^m*(-I*c*tan(f*x + e) + c)^n, x)","F",0
852,0,0,0,0.000000," ","integrate((a+I*a*tan(f*x+e))^(1+m)*(A+B*tan(f*x+e))*(c-I*c*tan(f*x+e))^(-1-m),x, algorithm=""giac"")","\int {\left(B \tan\left(f x + e\right) + A\right)} {\left(i \, a \tan\left(f x + e\right) + a\right)}^{m + 1} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{-m - 1}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(I*a*tan(f*x + e) + a)^(m + 1)*(-I*c*tan(f*x + e) + c)^(-m - 1), x)","F",0
853,0,0,0,0.000000," ","integrate((c-I*c*tan(f*x+e))^n*(-I*(2+n)+(-2+n)*tan(f*x+e))/(-I+tan(f*x+e))^2,x, algorithm=""giac"")","\int \frac{{\left({\left(n - 2\right)} \tan\left(f x + e\right) - i \, n - 2 i\right)} {\left(-i \, c \tan\left(f x + e\right) + c\right)}^{n}}{{\left(\tan\left(f x + e\right) - i\right)}^{2}}\,{d x}"," ",0,"integrate(((n - 2)*tan(f*x + e) - I*n - 2*I)*(-I*c*tan(f*x + e) + c)^n/(tan(f*x + e) - I)^2, x)","F",0
854,1,200,0,1.739346," ","integrate((A+B*tan(f*x+e))*(c+d*tan(f*x+e))/(a+I*a*tan(f*x+e))^2,x, algorithm=""giac"")","-\frac{\frac{2 \, {\left(-i \, A c - B c - A d + i \, B d\right)} \log\left(-i \, \tan\left(f x + e\right) + 1\right)}{a^{2}} + \frac{2 \, {\left(i \, A c + B c + A d - i \, B d\right)} \log\left(-i \, \tan\left(f x + e\right) - 1\right)}{a^{2}} + \frac{-3 i \, A c \tan\left(f x + e\right)^{2} - 3 \, B c \tan\left(f x + e\right)^{2} - 3 \, A d \tan\left(f x + e\right)^{2} + 3 i \, B d \tan\left(f x + e\right)^{2} - 10 \, A c \tan\left(f x + e\right) + 10 i \, B c \tan\left(f x + e\right) + 10 i \, A d \tan\left(f x + e\right) - 6 \, B d \tan\left(f x + e\right) + 11 i \, A c + 3 \, B c + 3 \, A d + 5 i \, B d}{a^{2} {\left(\tan\left(f x + e\right) - i\right)}^{2}}}{16 \, f}"," ",0,"-1/16*(2*(-I*A*c - B*c - A*d + I*B*d)*log(-I*tan(f*x + e) + 1)/a^2 + 2*(I*A*c + B*c + A*d - I*B*d)*log(-I*tan(f*x + e) - 1)/a^2 + (-3*I*A*c*tan(f*x + e)^2 - 3*B*c*tan(f*x + e)^2 - 3*A*d*tan(f*x + e)^2 + 3*I*B*d*tan(f*x + e)^2 - 10*A*c*tan(f*x + e) + 10*I*B*c*tan(f*x + e) + 10*I*A*d*tan(f*x + e) - 6*B*d*tan(f*x + e) + 11*I*A*c + 3*B*c + 3*A*d + 5*I*B*d)/(a^2*(tan(f*x + e) - I)^2))/f","B",0
855,0,0,0,0.000000," ","integrate((A+B*tan(f*x+e))*(c+d*tan(f*x+e))/(a+I*a*tan(f*x+e))^(3/2),x, algorithm=""giac"")","\int \frac{{\left(B \tan\left(f x + e\right) + A\right)} {\left(d \tan\left(f x + e\right) + c\right)}}{{\left(i \, a \tan\left(f x + e\right) + a\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate((B*tan(f*x + e) + A)*(d*tan(f*x + e) + c)/(I*a*tan(f*x + e) + a)^(3/2), x)","F",0
