1,1,155,0,0.548585," ","integrate(x^3*(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} x^{4} - 2 \, b d x^{2} \log\left(-\frac{2 \, {\left(i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) - 2 \, b d x^{2} \log\left(-\frac{2 \, {\left(-i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) - i \, b {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1} + 1\right) + i \, b {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1} + 1\right)}{8 \, d^{2}}"," ",0,"1/8*(2*a*d^2*x^4 - 2*b*d*x^2*log(-2*(I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1)) - 2*b*d*x^2*log(-2*(-I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1)) - I*b*dilog(2*(I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1) + 1) + I*b*dilog(2*(-I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1) + 1))/d^2","B",0
2,0,0,0,0.571726," ","integrate(x^2*(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \tan\left(d x^{2} + c\right) + a x^{2}, x\right)"," ",0,"integral(b*x^2*tan(d*x^2 + c) + a*x^2, x)","F",0
3,1,31,0,0.517121," ","integrate(x*(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","\frac{2 \, a d x^{2} - b \log\left(\frac{1}{\tan\left(d x^{2} + c\right)^{2} + 1}\right)}{4 \, d}"," ",0,"1/4*(2*a*d*x^2 - b*log(1/(tan(d*x^2 + c)^2 + 1)))/d","A",0
4,0,0,0,0.442259," ","integrate(a+b*tan(d*x^2+c),x, algorithm=""fricas"")","{\rm integral}\left(b \tan\left(d x^{2} + c\right) + a, x\right)"," ",0,"integral(b*tan(d*x^2 + c) + a, x)","F",0
5,0,0,0,0.442885," ","integrate((a+b*tan(d*x^2+c))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \tan\left(d x^{2} + c\right) + a}{x}, x\right)"," ",0,"integral((b*tan(d*x^2 + c) + a)/x, x)","F",0
6,0,0,0,0.598936," ","integrate((a+b*tan(d*x^2+c))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \tan\left(d x^{2} + c\right) + a}{x^{2}}, x\right)"," ",0,"integral((b*tan(d*x^2 + c) + a)/x^2, x)","F",0
7,1,199,0,0.579028," ","integrate(x^3*(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{2} - b^{2}\right)} d^{2} x^{4} + 2 \, b^{2} d x^{2} \tan\left(d x^{2} + c\right) - i \, a b {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1} + 1\right) + i \, a b {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1} + 1\right) - {\left(2 \, a b d x^{2} - b^{2}\right)} \log\left(-\frac{2 \, {\left(i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) - {\left(2 \, a b d x^{2} - b^{2}\right)} \log\left(-\frac{2 \, {\left(-i \, \tan\left(d x^{2} + c\right) - 1\right)}}{\tan\left(d x^{2} + c\right)^{2} + 1}\right)}{4 \, d^{2}}"," ",0,"1/4*((a^2 - b^2)*d^2*x^4 + 2*b^2*d*x^2*tan(d*x^2 + c) - I*a*b*dilog(2*(I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1) + 1) + I*a*b*dilog(2*(-I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1) + 1) - (2*a*b*d*x^2 - b^2)*log(-2*(I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1)) - (2*a*b*d*x^2 - b^2)*log(-2*(-I*tan(d*x^2 + c) - 1)/(tan(d*x^2 + c)^2 + 1)))/d^2","A",0
8,0,0,0,0.632277," ","integrate(x^2*(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b x^{2} \tan\left(d x^{2} + c\right) + a^{2} x^{2}, x\right)"," ",0,"integral(b^2*x^2*tan(d*x^2 + c)^2 + 2*a*b*x^2*tan(d*x^2 + c) + a^2*x^2, x)","F",0
9,1,51,0,0.581666," ","integrate(x*(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{2} - b^{2}\right)} d x^{2} - a b \log\left(\frac{1}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) + b^{2} \tan\left(d x^{2} + c\right)}{2 \, d}"," ",0,"1/2*((a^2 - b^2)*d*x^2 - a*b*log(1/(tan(d*x^2 + c)^2 + 1)) + b^2*tan(d*x^2 + c))/d","A",0
10,0,0,0,0.559778," ","integrate((a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b \tan\left(d x^{2} + c\right) + a^{2}, x\right)"," ",0,"integral(b^2*tan(d*x^2 + c)^2 + 2*a*b*tan(d*x^2 + c) + a^2, x)","F",0
11,0,0,0,0.799343," ","integrate((a+b*tan(d*x^2+c))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b \tan\left(d x^{2} + c\right) + a^{2}}{x}, x\right)"," ",0,"integral((b^2*tan(d*x^2 + c)^2 + 2*a*b*tan(d*x^2 + c) + a^2)/x, x)","F",0
12,0,0,0,0.556909," ","integrate((a+b*tan(d*x^2+c))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b \tan\left(d x^{2} + c\right) + a^{2}}{x^{2}}, x\right)"," ",0,"integral((b^2*tan(d*x^2 + c)^2 + 2*a*b*tan(d*x^2 + c) + a^2)/x^2, x)","F",0
13,1,542,0,0.723796," ","integrate(x^3/(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} x^{4} - 2 \, b c \log\left(\frac{{\left(i \, a b + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) - 2 \, b c \log\left(\frac{{\left(i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) + i \, b {\rm Li}_2\left(\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}} + 1\right) - i \, b {\rm Li}_2\left(\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}} + 1\right) + 2 \, {\left(b d x^{2} + b c\right)} \log\left(-\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}}\right) + 2 \, {\left(b d x^{2} + b c\right)} \log\left(-\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}}\right)}{8 \, {\left(a^{2} + b^{2}\right)} d^{2}}"," ",0,"1/8*(2*a*d^2*x^4 - 2*b*c*log(((I*a*b + b^2)*tan(d*x^2 + c)^2 - a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^2 + c))/(tan(d*x^2 + c)^2 + 1)) - 2*b*c*log(((I*a*b - b^2)*tan(d*x^2 + c)^2 + a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^2 + c))/(tan(d*x^2 + c)^2 + 1)) + I*b*dilog((2*(I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2) + 1) - I*b*dilog((2*(-I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2) + 1) + 2*(b*d*x^2 + b*c)*log(-(2*(I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2)) + 2*(b*d*x^2 + b*c)*log(-(2*(-I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2)))/((a^2 + b^2)*d^2)","B",0
14,0,0,0,0.618453," ","integrate(x^2/(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{b \tan\left(d x^{2} + c\right) + a}, x\right)"," ",0,"integral(x^2/(b*tan(d*x^2 + c) + a), x)","F",0
15,1,70,0,0.424385," ","integrate(x/(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","\frac{2 \, a d x^{2} + b \log\left(\frac{b^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b \tan\left(d x^{2} + c\right) + a^{2}}{\tan\left(d x^{2} + c\right)^{2} + 1}\right)}{4 \, {\left(a^{2} + b^{2}\right)} d}"," ",0,"1/4*(2*a*d*x^2 + b*log((b^2*tan(d*x^2 + c)^2 + 2*a*b*tan(d*x^2 + c) + a^2)/(tan(d*x^2 + c)^2 + 1)))/((a^2 + b^2)*d)","A",0
16,0,0,0,0.491563," ","integrate(1/(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b \tan\left(d x^{2} + c\right) + a}, x\right)"," ",0,"integral(1/(b*tan(d*x^2 + c) + a), x)","F",0
17,0,0,0,0.734469," ","integrate(1/x/(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b x \tan\left(d x^{2} + c\right) + a x}, x\right)"," ",0,"integral(1/(b*x*tan(d*x^2 + c) + a*x), x)","F",0
18,0,0,0,0.597229," ","integrate(1/x^2/(a+b*tan(d*x^2+c)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b x^{2} \tan\left(d x^{2} + c\right) + a x^{2}}, x\right)"," ",0,"integral(1/(b*x^2*tan(d*x^2 + c) + a*x^2), x)","F",0
19,1,806,0,0.833924," ","integrate(x^3/(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{3} - a b^{2}\right)} d^{2} x^{4} - 2 \, b^{3} d x^{2} + {\left(i \, a b^{2} \tan\left(d x^{2} + c\right) + i \, a^{2} b\right)} {\rm Li}_2\left(\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}} + 1\right) + {\left(-i \, a b^{2} \tan\left(d x^{2} + c\right) - i \, a^{2} b\right)} {\rm Li}_2\left(\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}} + 1\right) + 2 \, {\left(a^{2} b d x^{2} + a^{2} b c + {\left(a b^{2} d x^{2} + a b^{2} c\right)} \tan\left(d x^{2} + c\right)\right)} \log\left(-\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}}\right) + 2 \, {\left(a^{2} b d x^{2} + a^{2} b c + {\left(a b^{2} d x^{2} + a b^{2} c\right)} \tan\left(d x^{2} + c\right)\right)} \log\left(-\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + b^{2}}\right) - {\left(2 \, a^{2} b c - a b^{2} + {\left(2 \, a b^{2} c - b^{3}\right)} \tan\left(d x^{2} + c\right)\right)} \log\left(\frac{{\left(i \, a b + b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} - a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) - {\left(2 \, a^{2} b c - a b^{2} + {\left(2 \, a b^{2} c - b^{3}\right)} \tan\left(d x^{2} + c\right)\right)} \log\left(\frac{{\left(i \, a b - b^{2}\right)} \tan\left(d x^{2} + c\right)^{2} + a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{2} + c\right)}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) + {\left({\left(a^{2} b - b^{3}\right)} d^{2} x^{4} + 2 \, a b^{2} d x^{2}\right)} \tan\left(d x^{2} + c\right)}{4 \, {\left({\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d^{2} \tan\left(d x^{2} + c\right) + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d^{2}\right)}}"," ",0,"1/4*((a^3 - a*b^2)*d^2*x^4 - 2*b^3*d*x^2 + (I*a*b^2*tan(d*x^2 + c) + I*a^2*b)*dilog((2*(I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2) + 1) + (-I*a*b^2*tan(d*x^2 + c) - I*a^2*b)*dilog((2*(-I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2) + 1) + 2*(a^2*b*d*x^2 + a^2*b*c + (a*b^2*d*x^2 + a*b^2*c)*tan(d*x^2 + c))*log(-(2*(I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2)) + 2*(a^2*b*d*x^2 + a^2*b*c + (a*b^2*d*x^2 + a*b^2*c)*tan(d*x^2 + c))*log(-(2*(-I*a*b - b^2)*tan(d*x^2 + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^2 + c))/((a^2 + b^2)*tan(d*x^2 + c)^2 + a^2 + b^2)) - (2*a^2*b*c - a*b^2 + (2*a*b^2*c - b^3)*tan(d*x^2 + c))*log(((I*a*b + b^2)*tan(d*x^2 + c)^2 - a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^2 + c))/(tan(d*x^2 + c)^2 + 1)) - (2*a^2*b*c - a*b^2 + (2*a*b^2*c - b^3)*tan(d*x^2 + c))*log(((I*a*b - b^2)*tan(d*x^2 + c)^2 + a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^2 + c))/(tan(d*x^2 + c)^2 + 1)) + ((a^2*b - b^3)*d^2*x^4 + 2*a*b^2*d*x^2)*tan(d*x^2 + c))/((a^4*b + 2*a^2*b^3 + b^5)*d^2*tan(d*x^2 + c) + (a^5 + 2*a^3*b^2 + a*b^4)*d^2)","B",0
20,0,0,0,0.464756," ","integrate(x^2/(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{b^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b \tan\left(d x^{2} + c\right) + a^{2}}, x\right)"," ",0,"integral(x^2/(b^2*tan(d*x^2 + c)^2 + 2*a*b*tan(d*x^2 + c) + a^2), x)","F",0
21,1,169,0,0.521531," ","integrate(x/(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","\frac{{\left(a^{3} - a b^{2}\right)} d x^{2} - b^{3} + {\left(a b^{2} \tan\left(d x^{2} + c\right) + a^{2} b\right)} \log\left(\frac{b^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b \tan\left(d x^{2} + c\right) + a^{2}}{\tan\left(d x^{2} + c\right)^{2} + 1}\right) + {\left({\left(a^{2} b - b^{3}\right)} d x^{2} + a b^{2}\right)} \tan\left(d x^{2} + c\right)}{2 \, {\left({\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d \tan\left(d x^{2} + c\right) + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d\right)}}"," ",0,"1/2*((a^3 - a*b^2)*d*x^2 - b^3 + (a*b^2*tan(d*x^2 + c) + a^2*b)*log((b^2*tan(d*x^2 + c)^2 + 2*a*b*tan(d*x^2 + c) + a^2)/(tan(d*x^2 + c)^2 + 1)) + ((a^2*b - b^3)*d*x^2 + a*b^2)*tan(d*x^2 + c))/((a^4*b + 2*a^2*b^3 + b^5)*d*tan(d*x^2 + c) + (a^5 + 2*a^3*b^2 + a*b^4)*d)","A",0
22,0,0,0,0.491268," ","integrate(1/(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b \tan\left(d x^{2} + c\right) + a^{2}}, x\right)"," ",0,"integral(1/(b^2*tan(d*x^2 + c)^2 + 2*a*b*tan(d*x^2 + c) + a^2), x)","F",0
23,0,0,0,0.515625," ","integrate(1/x/(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} x \tan\left(d x^{2} + c\right)^{2} + 2 \, a b x \tan\left(d x^{2} + c\right) + a^{2} x}, x\right)"," ",0,"integral(1/(b^2*x*tan(d*x^2 + c)^2 + 2*a*b*x*tan(d*x^2 + c) + a^2*x), x)","F",0
24,0,0,0,0.458619," ","integrate(1/x^2/(a+b*tan(d*x^2+c))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} x^{2} \tan\left(d x^{2} + c\right)^{2} + 2 \, a b x^{2} \tan\left(d x^{2} + c\right) + a^{2} x^{2}}, x\right)"," ",0,"integral(1/(b^2*x^2*tan(d*x^2 + c)^2 + 2*a*b*x^2*tan(d*x^2 + c) + a^2*x^2), x)","F",0
25,0,0,0,0.466971," ","integrate(x^3*(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(b x^{3} \tan\left(d \sqrt{x} + c\right) + a x^{3}, x\right)"," ",0,"integral(b*x^3*tan(d*sqrt(x) + c) + a*x^3, x)","F",0
26,0,0,0,0.540740," ","integrate(x^2*(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \tan\left(d \sqrt{x} + c\right) + a x^{2}, x\right)"," ",0,"integral(b*x^2*tan(d*sqrt(x) + c) + a*x^2, x)","F",0
27,0,0,0,0.660585," ","integrate(x*(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(b x \tan\left(d \sqrt{x} + c\right) + a x, x\right)"," ",0,"integral(b*x*tan(d*sqrt(x) + c) + a*x, x)","F",0
28,1,153,0,0.651509," ","integrate(a+b*tan(c+d*x^(1/2)),x, algorithm=""fricas"")","\frac{2 \, a d^{2} x - 2 \, b d \sqrt{x} \log\left(-\frac{2 \, {\left(i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right) - 2 \, b d \sqrt{x} \log\left(-\frac{2 \, {\left(-i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right) - i \, b {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1} + 1\right) + i \, b {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1} + 1\right)}{2 \, d^{2}}"," ",0,"1/2*(2*a*d^2*x - 2*b*d*sqrt(x)*log(-2*(I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1)) - 2*b*d*sqrt(x)*log(-2*(-I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1)) - I*b*dilog(2*(I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1) + 1) + I*b*dilog(2*(-I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1) + 1))/d^2","B",0
29,0,0,0,0.513675," ","integrate((a+b*tan(c+d*x^(1/2)))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \tan\left(d \sqrt{x} + c\right) + a}{x}, x\right)"," ",0,"integral((b*tan(d*sqrt(x) + c) + a)/x, x)","F",0
30,0,0,0,0.475310," ","integrate((a+b*tan(c+d*x^(1/2)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \tan\left(d \sqrt{x} + c\right) + a}{x^{2}}, x\right)"," ",0,"integral((b*tan(d*sqrt(x) + c) + a)/x^2, x)","F",0
31,0,0,0,0.599324," ","integrate(x^2*(a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{2} \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b x^{2} \tan\left(d \sqrt{x} + c\right) + a^{2} x^{2}, x\right)"," ",0,"integral(b^2*x^2*tan(d*sqrt(x) + c)^2 + 2*a*b*x^2*tan(d*sqrt(x) + c) + a^2*x^2, x)","F",0
32,0,0,0,0.610057," ","integrate(x*(a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b x \tan\left(d \sqrt{x} + c\right) + a^{2} x, x\right)"," ",0,"integral(b^2*x*tan(d*sqrt(x) + c)^2 + 2*a*b*x*tan(d*sqrt(x) + c) + a^2*x, x)","F",0
33,1,196,0,0.589589," ","integrate((a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","\frac{2 \, b^{2} d \sqrt{x} \tan\left(d \sqrt{x} + c\right) + {\left(a^{2} - b^{2}\right)} d^{2} x - i \, a b {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1} + 1\right) + i \, a b {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1} + 1\right) - {\left(2 \, a b d \sqrt{x} - b^{2}\right)} \log\left(-\frac{2 \, {\left(i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right) - {\left(2 \, a b d \sqrt{x} - b^{2}\right)} \log\left(-\frac{2 \, {\left(-i \, \tan\left(d \sqrt{x} + c\right) - 1\right)}}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right)}{d^{2}}"," ",0,"(2*b^2*d*sqrt(x)*tan(d*sqrt(x) + c) + (a^2 - b^2)*d^2*x - I*a*b*dilog(2*(I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1) + 1) + I*a*b*dilog(2*(-I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1) + 1) - (2*a*b*d*sqrt(x) - b^2)*log(-2*(I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1)) - (2*a*b*d*sqrt(x) - b^2)*log(-2*(-I*tan(d*sqrt(x) + c) - 1)/(tan(d*sqrt(x) + c)^2 + 1)))/d^2","A",0
34,0,0,0,0.468023," ","integrate((a+b*tan(c+d*x^(1/2)))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b \tan\left(d \sqrt{x} + c\right) + a^{2}}{x}, x\right)"," ",0,"integral((b^2*tan(d*sqrt(x) + c)^2 + 2*a*b*tan(d*sqrt(x) + c) + a^2)/x, x)","F",0
35,0,0,0,0.465130," ","integrate((a+b*tan(c+d*x^(1/2)))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b \tan\left(d \sqrt{x} + c\right) + a^{2}}{x^{2}}, x\right)"," ",0,"integral((b^2*tan(d*sqrt(x) + c)^2 + 2*a*b*tan(d*sqrt(x) + c) + a^2)/x^2, x)","F",0
36,0,0,0,0.496821," ","integrate(x^3/(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{3}}{b \tan\left(d \sqrt{x} + c\right) + a}, x\right)"," ",0,"integral(x^3/(b*tan(d*sqrt(x) + c) + a), x)","F",0
37,0,0,0,0.581523," ","integrate(x^2/(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{b \tan\left(d \sqrt{x} + c\right) + a}, x\right)"," ",0,"integral(x^2/(b*tan(d*sqrt(x) + c) + a), x)","F",0
38,0,0,0,0.455540," ","integrate(x/(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{b \tan\left(d \sqrt{x} + c\right) + a}, x\right)"," ",0,"integral(x/(b*tan(d*sqrt(x) + c) + a), x)","F",0
39,1,540,0,0.604238," ","integrate(1/(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","\frac{2 \, a d^{2} x - 2 \, b c \log\left(\frac{{\left(i \, a b + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right) - 2 \, b c \log\left(\frac{{\left(i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right) + i \, b {\rm Li}_2\left(\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}} + 1\right) - i \, b {\rm Li}_2\left(\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}} + 1\right) + 2 \, {\left(b d \sqrt{x} + b c\right)} \log\left(-\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}}\right) + 2 \, {\left(b d \sqrt{x} + b c\right)} \log\left(-\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}}\right)}{2 \, {\left(a^{2} + b^{2}\right)} d^{2}}"," ",0,"1/2*(2*a*d^2*x - 2*b*c*log(((I*a*b + b^2)*tan(d*sqrt(x) + c)^2 - a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*sqrt(x) + c))/(tan(d*sqrt(x) + c)^2 + 1)) - 2*b*c*log(((I*a*b - b^2)*tan(d*sqrt(x) + c)^2 + a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*sqrt(x) + c))/(tan(d*sqrt(x) + c)^2 + 1)) + I*b*dilog((2*(I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2) + 1) - I*b*dilog((2*(-I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2) + 1) + 2*(b*d*sqrt(x) + b*c)*log(-(2*(I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2)) + 2*(b*d*sqrt(x) + b*c)*log(-(2*(-I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2)))/((a^2 + b^2)*d^2)","B",0
40,0,0,0,0.543615," ","integrate(1/x/(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b x \tan\left(d \sqrt{x} + c\right) + a x}, x\right)"," ",0,"integral(1/(b*x*tan(d*sqrt(x) + c) + a*x), x)","F",0
41,0,0,0,0.611104," ","integrate(1/x^2/(a+b*tan(c+d*x^(1/2))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b x^{2} \tan\left(d \sqrt{x} + c\right) + a x^{2}}, x\right)"," ",0,"integral(1/(b*x^2*tan(d*sqrt(x) + c) + a*x^2), x)","F",0
42,0,0,0,0.553749," ","integrate(x^2/(a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{b^{2} \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b \tan\left(d \sqrt{x} + c\right) + a^{2}}, x\right)"," ",0,"integral(x^2/(b^2*tan(d*sqrt(x) + c)^2 + 2*a*b*tan(d*sqrt(x) + c) + a^2), x)","F",0
43,0,0,0,0.549260," ","integrate(x/(a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{b^{2} \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b \tan\left(d \sqrt{x} + c\right) + a^{2}}, x\right)"," ",0,"integral(x/(b^2*tan(d*sqrt(x) + c)^2 + 2*a*b*tan(d*sqrt(x) + c) + a^2), x)","F",0
44,1,834,0,0.696001," ","integrate(1/(a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","-\frac{2 \, b^{3} d \sqrt{x} - {\left(a^{3} - a b^{2}\right)} d^{2} x + {\left(a^{3} - a b^{2}\right)} d^{2} - {\left(i \, a b^{2} \tan\left(d \sqrt{x} + c\right) + i \, a^{2} b\right)} {\rm Li}_2\left(\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}} + 1\right) - {\left(-i \, a b^{2} \tan\left(d \sqrt{x} + c\right) - i \, a^{2} b\right)} {\rm Li}_2\left(\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}} + 1\right) - 2 \, {\left(a^{2} b d \sqrt{x} + a^{2} b c + {\left(a b^{2} d \sqrt{x} + a b^{2} c\right)} \tan\left(d \sqrt{x} + c\right)\right)} \log\left(-\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}}\right) - 2 \, {\left(a^{2} b d \sqrt{x} + a^{2} b c + {\left(a b^{2} d \sqrt{x} + a b^{2} c\right)} \tan\left(d \sqrt{x} + c\right)\right)} \log\left(-\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + b^{2}}\right) + {\left(2 \, a^{2} b c - a b^{2} + {\left(2 \, a b^{2} c - b^{3}\right)} \tan\left(d \sqrt{x} + c\right)\right)} \log\left(\frac{{\left(i \, a b + b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} - a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right) + {\left(2 \, a^{2} b c - a b^{2} + {\left(2 \, a b^{2} c - b^{3}\right)} \tan\left(d \sqrt{x} + c\right)\right)} \log\left(\frac{{\left(i \, a b - b^{2}\right)} \tan\left(d \sqrt{x} + c\right)^{2} + a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{\tan\left(d \sqrt{x} + c\right)^{2} + 1}\right) - {\left(2 \, a b^{2} d \sqrt{x} + {\left(a^{2} b - b^{3}\right)} d^{2} x - {\left(a^{2} b - b^{3}\right)} d^{2}\right)} \tan\left(d \sqrt{x} + c\right)}{{\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d^{2} \tan\left(d \sqrt{x} + c\right) + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d^{2}}"," ",0,"-(2*b^3*d*sqrt(x) - (a^3 - a*b^2)*d^2*x + (a^3 - a*b^2)*d^2 - (I*a*b^2*tan(d*sqrt(x) + c) + I*a^2*b)*dilog((2*(I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2) + 1) - (-I*a*b^2*tan(d*sqrt(x) + c) - I*a^2*b)*dilog((2*(-I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2) + 1) - 2*(a^2*b*d*sqrt(x) + a^2*b*c + (a*b^2*d*sqrt(x) + a*b^2*c)*tan(d*sqrt(x) + c))*log(-(2*(I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2)) - 2*(a^2*b*d*sqrt(x) + a^2*b*c + (a*b^2*d*sqrt(x) + a*b^2*c)*tan(d*sqrt(x) + c))*log(-(2*(-I*a*b - b^2)*tan(d*sqrt(x) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*sqrt(x) + c))/((a^2 + b^2)*tan(d*sqrt(x) + c)^2 + a^2 + b^2)) + (2*a^2*b*c - a*b^2 + (2*a*b^2*c - b^3)*tan(d*sqrt(x) + c))*log(((I*a*b + b^2)*tan(d*sqrt(x) + c)^2 - a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*sqrt(x) + c))/(tan(d*sqrt(x) + c)^2 + 1)) + (2*a^2*b*c - a*b^2 + (2*a*b^2*c - b^3)*tan(d*sqrt(x) + c))*log(((I*a*b - b^2)*tan(d*sqrt(x) + c)^2 + a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*sqrt(x) + c))/(tan(d*sqrt(x) + c)^2 + 1)) - (2*a*b^2*d*sqrt(x) + (a^2*b - b^3)*d^2*x - (a^2*b - b^3)*d^2)*tan(d*sqrt(x) + c))/((a^4*b + 2*a^2*b^3 + b^5)*d^2*tan(d*sqrt(x) + c) + (a^5 + 2*a^3*b^2 + a*b^4)*d^2)","B",0
45,0,0,0,0.540719," ","integrate(1/x/(a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} x \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b x \tan\left(d \sqrt{x} + c\right) + a^{2} x}, x\right)"," ",0,"integral(1/(b^2*x*tan(d*sqrt(x) + c)^2 + 2*a*b*x*tan(d*sqrt(x) + c) + a^2*x), x)","F",0
46,0,0,0,0.621108," ","integrate(1/x^2/(a+b*tan(c+d*x^(1/2)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} x^{2} \tan\left(d \sqrt{x} + c\right)^{2} + 2 \, a b x^{2} \tan\left(d \sqrt{x} + c\right) + a^{2} x^{2}}, x\right)"," ",0,"integral(1/(b^2*x^2*tan(d*sqrt(x) + c)^2 + 2*a*b*x^2*tan(d*sqrt(x) + c) + a^2*x^2), x)","F",0
47,0,0,0,0.480602," ","integrate(x^2*(a+b*tan(c+d*x^(1/3))),x, algorithm=""fricas"")","{\rm integral}\left(b x^{2} \tan\left(d x^{\frac{1}{3}} + c\right) + a x^{2}, x\right)"," ",0,"integral(b*x^2*tan(d*x^(1/3) + c) + a*x^2, x)","F",0
48,0,0,0,0.483059," ","integrate(x*(a+b*tan(c+d*x^(1/3))),x, algorithm=""fricas"")","{\rm integral}\left(b x \tan\left(d x^{\frac{1}{3}} + c\right) + a x, x\right)"," ",0,"integral(b*x*tan(d*x^(1/3) + c) + a*x, x)","F",0
49,1,249,0,0.678427," ","integrate(a+b*tan(c+d*x^(1/3)),x, algorithm=""fricas"")","\frac{4 \, a d^{3} x - 6 \, b d^{2} x^{\frac{2}{3}} \log\left(-\frac{2 \, {\left(i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) - 6 \, b d^{2} x^{\frac{2}{3}} \log\left(-\frac{2 \, {\left(-i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) - 6 i \, b d x^{\frac{1}{3}} {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1} + 1\right) + 6 i \, b d x^{\frac{1}{3}} {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1} + 1\right) - 3 \, b {\rm polylog}\left(3, \frac{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) - 3 \, b {\rm polylog}\left(3, \frac{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right)}{4 \, d^{3}}"," ",0,"1/4*(4*a*d^3*x - 6*b*d^2*x^(2/3)*log(-2*(I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)) - 6*b*d^2*x^(2/3)*log(-2*(-I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)) - 6*I*b*d*x^(1/3)*dilog(2*(I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1) + 1) + 6*I*b*d*x^(1/3)*dilog(2*(-I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1) + 1) - 3*b*polylog(3, (tan(d*x^(1/3) + c)^2 + 2*I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)) - 3*b*polylog(3, (tan(d*x^(1/3) + c)^2 - 2*I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)))/d^3","C",0
50,0,0,0,0.518852," ","integrate((a+b*tan(c+d*x^(1/3)))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \tan\left(d x^{\frac{1}{3}} + c\right) + a}{x}, x\right)"," ",0,"integral((b*tan(d*x^(1/3) + c) + a)/x, x)","F",0
51,0,0,0,0.521382," ","integrate((a+b*tan(c+d*x^(1/3)))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b \tan\left(d x^{\frac{1}{3}} + c\right) + a}{x^{2}}, x\right)"," ",0,"integral((b*tan(d*x^(1/3) + c) + a)/x^2, x)","F",0
52,0,0,0,0.481609," ","integrate(x^2*(a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x^{2} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b x^{2} \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2} x^{2}, x\right)"," ",0,"integral(b^2*x^2*tan(d*x^(1/3) + c)^2 + 2*a*b*x^2*tan(d*x^(1/3) + c) + a^2*x^2, x)","F",0
53,0,0,0,0.498415," ","integrate(x*(a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","{\rm integral}\left(b^{2} x \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b x \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2} x, x\right)"," ",0,"integral(b^2*x*tan(d*x^(1/3) + c)^2 + 2*a*b*x*tan(d*x^(1/3) + c) + a^2*x, x)","F",0
54,1,318,0,0.563981," ","integrate((a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","\frac{6 \, b^{2} d^{2} x^{\frac{2}{3}} \tan\left(d x^{\frac{1}{3}} + c\right) + 2 \, {\left(a^{2} - b^{2}\right)} d^{3} x - 3 \, a b {\rm polylog}\left(3, \frac{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) - 3 \, a b {\rm polylog}\left(3, \frac{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) + {\left(-6 i \, a b d x^{\frac{1}{3}} + 3 i \, b^{2}\right)} {\rm Li}_2\left(\frac{2 \, {\left(i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1} + 1\right) + {\left(6 i \, a b d x^{\frac{1}{3}} - 3 i \, b^{2}\right)} {\rm Li}_2\left(\frac{2 \, {\left(-i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1} + 1\right) - 6 \, {\left(a b d^{2} x^{\frac{2}{3}} - b^{2} d x^{\frac{1}{3}}\right)} \log\left(-\frac{2 \, {\left(i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) - 6 \, {\left(a b d^{2} x^{\frac{2}{3}} - b^{2} d x^{\frac{1}{3}}\right)} \log\left(-\frac{2 \, {\left(-i \, \tan\left(d x^{\frac{1}{3}} + c\right) - 1\right)}}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right)}{2 \, d^{3}}"," ",0,"1/2*(6*b^2*d^2*x^(2/3)*tan(d*x^(1/3) + c) + 2*(a^2 - b^2)*d^3*x - 3*a*b*polylog(3, (tan(d*x^(1/3) + c)^2 + 2*I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)) - 3*a*b*polylog(3, (tan(d*x^(1/3) + c)^2 - 2*I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)) + (-6*I*a*b*d*x^(1/3) + 3*I*b^2)*dilog(2*(I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1) + 1) + (6*I*a*b*d*x^(1/3) - 3*I*b^2)*dilog(2*(-I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1) + 1) - 6*(a*b*d^2*x^(2/3) - b^2*d*x^(1/3))*log(-2*(I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)) - 6*(a*b*d^2*x^(2/3) - b^2*d*x^(1/3))*log(-2*(-I*tan(d*x^(1/3) + c) - 1)/(tan(d*x^(1/3) + c)^2 + 1)))/d^3","C",0
55,0,0,0,0.464922," ","integrate((a+b*tan(c+d*x^(1/3)))^2/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2}}{x}, x\right)"," ",0,"integral((b^2*tan(d*x^(1/3) + c)^2 + 2*a*b*tan(d*x^(1/3) + c) + a^2)/x, x)","F",0
56,0,0,0,0.562978," ","integrate((a+b*tan(c+d*x^(1/3)))^2/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{b^{2} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2}}{x^{2}}, x\right)"," ",0,"integral((b^2*tan(d*x^(1/3) + c)^2 + 2*a*b*tan(d*x^(1/3) + c) + a^2)/x^2, x)","F",0
57,0,0,0,0.454748," ","integrate(x^2/(a+b*tan(c+d*x^(1/3))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{b \tan\left(d x^{\frac{1}{3}} + c\right) + a}, x\right)"," ",0,"integral(x^2/(b*tan(d*x^(1/3) + c) + a), x)","F",0
58,0,0,0,0.449576," ","integrate(x/(a+b*tan(c+d*x^(1/3))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{b \tan\left(d x^{\frac{1}{3}} + c\right) + a}, x\right)"," ",0,"integral(x/(b*tan(d*x^(1/3) + c) + a), x)","F",0
59,1,750,0,0.577535," ","integrate(1/(a+b*tan(c+d*x^(1/3))),x, algorithm=""fricas"")","\frac{4 \, a d^{3} x + 6 \, b c^{2} \log\left(\frac{{\left(i \, a b + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) + 6 \, b c^{2} \log\left(\frac{{\left(i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) + 6 i \, b d x^{\frac{1}{3}} {\rm Li}_2\left(\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}} + 1\right) - 6 i \, b d x^{\frac{1}{3}} {\rm Li}_2\left(\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}} + 1\right) + 6 \, {\left(b d^{2} x^{\frac{2}{3}} - b c^{2}\right)} \log\left(-\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right) + 6 \, {\left(b d^{2} x^{\frac{2}{3}} - b c^{2}\right)} \log\left(-\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right) + 3 \, b {\rm polylog}\left(3, \frac{{\left(a^{2} + 2 i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - a^{2} - 2 i \, a b + b^{2} + {\left(2 i \, a^{2} - 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right) + 3 \, b {\rm polylog}\left(3, \frac{{\left(a^{2} - 2 i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - a^{2} + 2 i \, a b + b^{2} + {\left(-2 i \, a^{2} - 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right)}{4 \, {\left(a^{2} + b^{2}\right)} d^{3}}"," ",0,"1/4*(4*a*d^3*x + 6*b*c^2*log(((I*a*b + b^2)*tan(d*x^(1/3) + c)^2 - a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^(1/3) + c))/(tan(d*x^(1/3) + c)^2 + 1)) + 6*b*c^2*log(((I*a*b - b^2)*tan(d*x^(1/3) + c)^2 + a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^(1/3) + c))/(tan(d*x^(1/3) + c)^2 + 1)) + 6*I*b*d*x^(1/3)*dilog((2*(I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2) + 1) - 6*I*b*d*x^(1/3)*dilog((2*(-I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2) + 1) + 6*(b*d^2*x^(2/3) - b*c^2)*log(-(2*(I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)) + 6*(b*d^2*x^(2/3) - b*c^2)*log(-(2*(-I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)) + 3*b*polylog(3, ((a^2 + 2*I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - a^2 - 2*I*a*b + b^2 + (2*I*a^2 - 4*a*b - 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)) + 3*b*polylog(3, ((a^2 - 2*I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - a^2 + 2*I*a*b + b^2 + (-2*I*a^2 - 4*a*b + 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)))/((a^2 + b^2)*d^3)","C",0
60,0,0,0,0.582039," ","integrate(1/x/(a+b*tan(c+d*x^(1/3))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b x \tan\left(d x^{\frac{1}{3}} + c\right) + a x}, x\right)"," ",0,"integral(1/(b*x*tan(d*x^(1/3) + c) + a*x), x)","F",0
61,0,0,0,0.498863," ","integrate(1/x^2/(a+b*tan(c+d*x^(1/3))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b x^{2} \tan\left(d x^{\frac{1}{3}} + c\right) + a x^{2}}, x\right)"," ",0,"integral(1/(b*x^2*tan(d*x^(1/3) + c) + a*x^2), x)","F",0
62,0,0,0,0.581785," ","integrate(x^2/(a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x^{2}}{b^{2} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2}}, x\right)"," ",0,"integral(x^2/(b^2*tan(d*x^(1/3) + c)^2 + 2*a*b*tan(d*x^(1/3) + c) + a^2), x)","F",0
63,0,0,0,0.581991," ","integrate(x/(a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{b^{2} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2}}, x\right)"," ",0,"integral(x/(b^2*tan(d*x^(1/3) + c)^2 + 2*a*b*tan(d*x^(1/3) + c) + a^2), x)","F",0
64,1,1191,0,0.539073," ","integrate(1/(a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","-\frac{6 \, b^{3} d^{2} x^{\frac{2}{3}} - 2 \, {\left(a^{3} - a b^{2}\right)} d^{3} x + 2 \, {\left(a^{3} - a b^{2}\right)} d^{3} - {\left(6 i \, a^{2} b d x^{\frac{1}{3}} + 3 i \, a b^{2} + {\left(6 i \, a b^{2} d x^{\frac{1}{3}} + 3 i \, b^{3}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)\right)} {\rm Li}_2\left(\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}} + 1\right) - {\left(-6 i \, a^{2} b d x^{\frac{1}{3}} - 3 i \, a b^{2} + {\left(-6 i \, a b^{2} d x^{\frac{1}{3}} - 3 i \, b^{3}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)\right)} {\rm Li}_2\left(\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}} + 1\right) - 6 \, {\left(a^{2} b d^{2} x^{\frac{2}{3}} - a^{2} b c^{2} + a b^{2} d x^{\frac{1}{3}} + a b^{2} c + {\left(a b^{2} d^{2} x^{\frac{2}{3}} - a b^{2} c^{2} + b^{3} d x^{\frac{1}{3}} + b^{3} c\right)} \tan\left(d x^{\frac{1}{3}} + c\right)\right)} \log\left(-\frac{2 \, {\left(i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} - 2 i \, a b - {\left(-2 i \, a^{2} + 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right) - 6 \, {\left(a^{2} b d^{2} x^{\frac{2}{3}} - a^{2} b c^{2} + a b^{2} d x^{\frac{1}{3}} + a b^{2} c + {\left(a b^{2} d^{2} x^{\frac{2}{3}} - a b^{2} c^{2} + b^{3} d x^{\frac{1}{3}} + b^{3} c\right)} \tan\left(d x^{\frac{1}{3}} + c\right)\right)} \log\left(-\frac{2 \, {\left(-i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - 2 \, a^{2} + 2 i \, a b - {\left(2 i \, a^{2} + 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right) - 6 \, {\left(a^{2} b c^{2} - a b^{2} c + {\left(a b^{2} c^{2} - b^{3} c\right)} \tan\left(d x^{\frac{1}{3}} + c\right)\right)} \log\left(\frac{{\left(i \, a b + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) - 6 \, {\left(a^{2} b c^{2} - a b^{2} c + {\left(a b^{2} c^{2} - b^{3} c\right)} \tan\left(d x^{\frac{1}{3}} + c\right)\right)} \log\left(\frac{{\left(i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + i \, a b + {\left(i \, a^{2} + i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{\tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 1}\right) - 3 \, {\left(a b^{2} \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2} b\right)} {\rm polylog}\left(3, \frac{{\left(a^{2} + 2 i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - a^{2} - 2 i \, a b + b^{2} + {\left(2 i \, a^{2} - 4 \, a b - 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right) - 3 \, {\left(a b^{2} \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2} b\right)} {\rm polylog}\left(3, \frac{{\left(a^{2} - 2 i \, a b - b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} - a^{2} + 2 i \, a b + b^{2} + {\left(-2 i \, a^{2} - 4 \, a b + 2 i \, b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{{\left(a^{2} + b^{2}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + a^{2} + b^{2}}\right) - 2 \, {\left(3 \, a b^{2} d^{2} x^{\frac{2}{3}} + {\left(a^{2} b - b^{3}\right)} d^{3} x - {\left(a^{2} b - b^{3}\right)} d^{3}\right)} \tan\left(d x^{\frac{1}{3}} + c\right)}{2 \, {\left({\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} d^{3} \tan\left(d x^{\frac{1}{3}} + c\right) + {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} d^{3}\right)}}"," ",0,"-1/2*(6*b^3*d^2*x^(2/3) - 2*(a^3 - a*b^2)*d^3*x + 2*(a^3 - a*b^2)*d^3 - (6*I*a^2*b*d*x^(1/3) + 3*I*a*b^2 + (6*I*a*b^2*d*x^(1/3) + 3*I*b^3)*tan(d*x^(1/3) + c))*dilog((2*(I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2) + 1) - (-6*I*a^2*b*d*x^(1/3) - 3*I*a*b^2 + (-6*I*a*b^2*d*x^(1/3) - 3*I*b^3)*tan(d*x^(1/3) + c))*dilog((2*(-I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2) + 1) - 6*(a^2*b*d^2*x^(2/3) - a^2*b*c^2 + a*b^2*d*x^(1/3) + a*b^2*c + (a*b^2*d^2*x^(2/3) - a*b^2*c^2 + b^3*d*x^(1/3) + b^3*c)*tan(d*x^(1/3) + c))*log(-(2*(I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 - 2*I*a*b - (-2*I*a^2 + 4*a*b + 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)) - 6*(a^2*b*d^2*x^(2/3) - a^2*b*c^2 + a*b^2*d*x^(1/3) + a*b^2*c + (a*b^2*d^2*x^(2/3) - a*b^2*c^2 + b^3*d*x^(1/3) + b^3*c)*tan(d*x^(1/3) + c))*log(-(2*(-I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - 2*a^2 + 2*I*a*b - (2*I*a^2 + 4*a*b - 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)) - 6*(a^2*b*c^2 - a*b^2*c + (a*b^2*c^2 - b^3*c)*tan(d*x^(1/3) + c))*log(((I*a*b + b^2)*tan(d*x^(1/3) + c)^2 - a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^(1/3) + c))/(tan(d*x^(1/3) + c)^2 + 1)) - 6*(a^2*b*c^2 - a*b^2*c + (a*b^2*c^2 - b^3*c)*tan(d*x^(1/3) + c))*log(((I*a*b - b^2)*tan(d*x^(1/3) + c)^2 + a^2 + I*a*b + (I*a^2 + I*b^2)*tan(d*x^(1/3) + c))/(tan(d*x^(1/3) + c)^2 + 1)) - 3*(a*b^2*tan(d*x^(1/3) + c) + a^2*b)*polylog(3, ((a^2 + 2*I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - a^2 - 2*I*a*b + b^2 + (2*I*a^2 - 4*a*b - 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)) - 3*(a*b^2*tan(d*x^(1/3) + c) + a^2*b)*polylog(3, ((a^2 - 2*I*a*b - b^2)*tan(d*x^(1/3) + c)^2 - a^2 + 2*I*a*b + b^2 + (-2*I*a^2 - 4*a*b + 2*I*b^2)*tan(d*x^(1/3) + c))/((a^2 + b^2)*tan(d*x^(1/3) + c)^2 + a^2 + b^2)) - 2*(3*a*b^2*d^2*x^(2/3) + (a^2*b - b^3)*d^3*x - (a^2*b - b^3)*d^3)*tan(d*x^(1/3) + c))/((a^4*b + 2*a^2*b^3 + b^5)*d^3*tan(d*x^(1/3) + c) + (a^5 + 2*a^3*b^2 + a*b^4)*d^3)","C",0
65,0,0,0,0.648924," ","integrate(1/x/(a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} x \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b x \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2} x}, x\right)"," ",0,"integral(1/(b^2*x*tan(d*x^(1/3) + c)^2 + 2*a*b*x*tan(d*x^(1/3) + c) + a^2*x), x)","F",0
66,0,0,0,0.552323," ","integrate(1/x^2/(a+b*tan(c+d*x^(1/3)))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{b^{2} x^{2} \tan\left(d x^{\frac{1}{3}} + c\right)^{2} + 2 \, a b x^{2} \tan\left(d x^{\frac{1}{3}} + c\right) + a^{2} x^{2}}, x\right)"," ",0,"integral(1/(b^2*x^2*tan(d*x^(1/3) + c)^2 + 2*a*b*x^2*tan(d*x^(1/3) + c) + a^2*x^2), x)","F",0
