1,1,9,0,0.398164," ","integrate(exp(x)/(4+6*exp(x)),x, algorithm=""fricas"")","\frac{1}{6} \, \log\left(3 \, e^{x} + 2\right)"," ",0,"1/6*log(3*e^x + 2)","A",0
2,1,11,0,0.401262," ","integrate(exp(x)/(a+b*exp(x)),x, algorithm=""fricas"")","\frac{\log\left(b e^{x} + a\right)}{b}"," ",0,"log(b*e^x + a)/b","A",0
3,1,22,0,0.408693," ","integrate(exp(d*x)/(a+b*exp(d*x+c)),x, algorithm=""fricas"")","\frac{e^{\left(-c\right)} \log\left(b e^{\left(d x + c\right)} + a\right)}{b d}"," ",0,"e^(-c)*log(b*e^(d*x + c) + a)/(b*d)","A",0
4,1,18,0,0.436161," ","integrate(exp(d*x+c)/(a+b*exp(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(b e^{\left(d x + c\right)} + a\right)}{b d}"," ",0,"log(b*e^(d*x + c) + a)/(b*d)","A",0
5,1,22,0,0.417461," ","integrate(exp(x)*(a+b*exp(x))^n,x, algorithm=""fricas"")","\frac{{\left(b e^{x} + a\right)} {\left(b e^{x} + a\right)}^{n}}{b n + b}"," ",0,"(b*e^x + a)*(b*e^x + a)^n/(b*n + b)","A",0
6,1,36,0,0.432842," ","integrate(exp(d*x)*(a+b*exp(d*x+c))^n,x, algorithm=""fricas"")","\frac{{\left(b e^{\left(d x\right)} + a e^{\left(-c\right)}\right)} {\left(b e^{\left(d x + c\right)} + a\right)}^{n}}{b d n + b d}"," ",0,"(b*e^(d*x) + a*e^(-c))*(b*e^(d*x + c) + a)^n/(b*d*n + b*d)","A",0
7,1,33,0,0.420908," ","integrate(exp(d*x+c)*(a+b*exp(d*x+c))^n,x, algorithm=""fricas"")","\frac{{\left(b e^{\left(d x + c\right)} + a\right)} {\left(b e^{\left(d x + c\right)} + a\right)}^{n}}{b d n + b d}"," ",0,"(b*e^(d*x + c) + a)*(b*e^(d*x + c) + a)^n/(b*d*n + b*d)","A",0
8,1,16,0,0.415244," ","integrate(F^x/(a+b*F^x),x, algorithm=""fricas"")","\frac{\log\left(F^{x} b + a\right)}{b \log\left(F\right)}"," ",0,"log(F^x*b + a)/(b*log(F))","A",0
9,1,28,0,0.441416," ","integrate(F^(d*x)/(a+b*F^(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(F^{d x + c} b + a\right)}{F^{c} b d \log\left(F\right)}"," ",0,"log(F^(d*x + c)*b + a)/(F^c*b*d*log(F))","A",0
10,1,23,0,0.414638," ","integrate(F^(d*x+c)/(a+b*F^(d*x+c)),x, algorithm=""fricas"")","\frac{\log\left(F^{d x + c} b + a\right)}{b d \log\left(F\right)}"," ",0,"log(F^(d*x + c)*b + a)/(b*d*log(F))","A",0
11,1,28,0,0.420588," ","integrate(F^x*(a+b*F^x)^n,x, algorithm=""fricas"")","\frac{{\left(F^{x} b + a\right)} {\left(F^{x} b + a\right)}^{n}}{{\left(b n + b\right)} \log\left(F\right)}"," ",0,"(F^x*b + a)*(F^x*b + a)^n/((b*n + b)*log(F))","A",0
12,1,50,0,0.426582," ","integrate(F^(d*x)*(a+b*F^(d*x+c))^n,x, algorithm=""fricas"")","\frac{{\left(F^{d x + c} b + a\right)}^{n} {\left(\frac{F^{d x + c} b}{F^{c}} + \frac{a}{F^{c}}\right)}}{{\left(b d n + b d\right)} \log\left(F\right)}"," ",0,"(F^(d*x + c)*b + a)^n*(F^(d*x + c)*b/F^c + a/F^c)/((b*d*n + b*d)*log(F))","A",0
13,1,39,0,0.875675," ","integrate(F^(d*x+c)*(a+b*F^(d*x+c))^n,x, algorithm=""fricas"")","\frac{{\left(F^{d x + c} b + a\right)} {\left(F^{d x + c} b + a\right)}^{n}}{{\left(b d n + b d\right)} \log\left(F\right)}"," ",0,"(F^(d*x + c)*b + a)*(F^(d*x + c)*b + a)^n/((b*d*n + b*d)*log(F))","A",0
14,1,29,0,0.765292," ","integrate(exp(x)^n*(a+b*exp(x)^n)^p,x, algorithm=""fricas"")","\frac{{\left(b e^{\left(n x\right)} + a\right)} {\left(b e^{\left(n x\right)} + a\right)}^{p}}{b n p + b n}"," ",0,"(b*e^(n*x) + a)*(b*e^(n*x) + a)^p/(b*n*p + b*n)","A",0
15,1,29,0,0.800343," ","integrate(exp(n*x)*(a+b*exp(x)^n)^p,x, algorithm=""fricas"")","\frac{{\left(b e^{\left(n x\right)} + a\right)} {\left(b e^{\left(n x\right)} + a\right)}^{p}}{b n p + b n}"," ",0,"(b*e^(n*x) + a)*(b*e^(n*x) + a)^p/(b*n*p + b*n)","A",0
16,1,53,0,0.688851," ","integrate((F^(e*(d*x+c)))^n*(a+b*(F^(e*(d*x+c)))^n)^p,x, algorithm=""fricas"")","\frac{{\left(F^{d e n x + c e n} b + a\right)} {\left(F^{d e n x + c e n} b + a\right)}^{p}}{{\left(b d e n p + b d e n\right)} \log\left(F\right)}"," ",0,"(F^(d*e*n*x + c*e*n)*b + a)*(F^(d*e*n*x + c*e*n)*b + a)^p/((b*d*e*n*p + b*d*e*n)*log(F))","A",0
17,1,88,0,0.626790," ","integrate((a+b*(F^(e*(d*x+c)))^n)^p*(G^(h*(g*x+f)))^(d*e*n*log(F)/g/h/log(G)),x, algorithm=""fricas"")","\frac{{\left(F^{d e n x + c e n} F^{\frac{{\left(d e f - c e g\right)} n}{g}} b + F^{\frac{{\left(d e f - c e g\right)} n}{g}} a\right)} {\left(F^{d e n x + c e n} b + a\right)}^{p}}{{\left(b d e n p + b d e n\right)} \log\left(F\right)}"," ",0,"(F^(d*e*n*x + c*e*n)*F^((d*e*f - c*e*g)*n/g)*b + F^((d*e*f - c*e*g)*n/g)*a)*(F^(d*e*n*x + c*e*n)*b + a)^p/((b*d*e*n*p + b*d*e*n)*log(F))","A",0
18,1,19,0,0.793703," ","integrate(exp(2*x)/(a+b*exp(x)),x, algorithm=""fricas"")","\frac{b e^{x} - a \log\left(b e^{x} + a\right)}{b^{2}}"," ",0,"(b*e^x - a*log(b*e^x + a))/b^2","A",0
19,1,31,0,0.786555," ","integrate(exp(2*x)/(a+b*exp(x))^2,x, algorithm=""fricas"")","\frac{{\left(b e^{x} + a\right)} \log\left(b e^{x} + a\right) + a}{b^{3} e^{x} + a b^{2}}"," ",0,"((b*e^x + a)*log(b*e^x + a) + a)/(b^3*e^x + a*b^2)","A",0
20,1,35,0,0.891024," ","integrate(exp(2*x)/(a+b*exp(x))^3,x, algorithm=""fricas"")","-\frac{2 \, b e^{x} + a}{2 \, {\left(b^{4} e^{\left(2 \, x\right)} + 2 \, a b^{3} e^{x} + a^{2} b^{2}\right)}}"," ",0,"-1/2*(2*b*e^x + a)/(b^4*e^(2*x) + 2*a*b^3*e^x + a^2*b^2)","B",0
21,1,47,0,0.650167," ","integrate(exp(2*x)/(a+b*exp(x))^4,x, algorithm=""fricas"")","-\frac{3 \, b e^{x} + a}{6 \, {\left(b^{5} e^{\left(3 \, x\right)} + 3 \, a b^{4} e^{\left(2 \, x\right)} + 3 \, a^{2} b^{3} e^{x} + a^{3} b^{2}\right)}}"," ",0,"-1/6*(3*b*e^x + a)/(b^5*e^(3*x) + 3*a*b^4*e^(2*x) + 3*a^2*b^3*e^x + a^3*b^2)","A",0
22,1,24,0,0.556376," ","integrate(exp(4*x)/(a+b*exp(2*x)),x, algorithm=""fricas"")","\frac{b e^{\left(2 \, x\right)} - a \log\left(b e^{\left(2 \, x\right)} + a\right)}{2 \, b^{2}}"," ",0,"1/2*(b*e^(2*x) - a*log(b*e^(2*x) + a))/b^2","A",0
23,1,38,0,0.473130," ","integrate(exp(4*x)/(a+b*exp(2*x))^2,x, algorithm=""fricas"")","\frac{{\left(b e^{\left(2 \, x\right)} + a\right)} \log\left(b e^{\left(2 \, x\right)} + a\right) + a}{2 \, {\left(b^{3} e^{\left(2 \, x\right)} + a b^{2}\right)}}"," ",0,"1/2*((b*e^(2*x) + a)*log(b*e^(2*x) + a) + a)/(b^3*e^(2*x) + a*b^2)","A",0
24,1,39,0,0.541947," ","integrate(exp(4*x)/(a+b*exp(2*x))^3,x, algorithm=""fricas"")","-\frac{2 \, b e^{\left(2 \, x\right)} + a}{4 \, {\left(b^{4} e^{\left(4 \, x\right)} + 2 \, a b^{3} e^{\left(2 \, x\right)} + a^{2} b^{2}\right)}}"," ",0,"-1/4*(2*b*e^(2*x) + a)/(b^4*e^(4*x) + 2*a*b^3*e^(2*x) + a^2*b^2)","B",0
25,1,51,0,0.813211," ","integrate(exp(4*x)/(a+b*exp(2*x))^4,x, algorithm=""fricas"")","-\frac{3 \, b e^{\left(2 \, x\right)} + a}{12 \, {\left(b^{5} e^{\left(6 \, x\right)} + 3 \, a b^{4} e^{\left(4 \, x\right)} + 3 \, a^{2} b^{3} e^{\left(2 \, x\right)} + a^{3} b^{2}\right)}}"," ",0,"-1/12*(3*b*e^(2*x) + a)/(b^5*e^(6*x) + 3*a*b^4*e^(4*x) + 3*a^2*b^3*e^(2*x) + a^3*b^2)","A",0
26,1,25,0,0.651962," ","integrate(exp(4*x)/(a+b*exp(2*x))^(2/3),x, algorithm=""fricas"")","\frac{3 \, {\left(b e^{\left(2 \, x\right)} + a\right)}^{\frac{1}{3}} {\left(b e^{\left(2 \, x\right)} - 3 \, a\right)}}{8 \, b^{2}}"," ",0,"3/8*(b*e^(2*x) + a)^(1/3)*(b*e^(2*x) - 3*a)/b^2","A",0
27,1,21,0,0.759827," ","integrate((a+b*exp(n*x))/exp(n*x),x, algorithm=""fricas"")","\frac{{\left(b n x e^{\left(n x\right)} - a\right)} e^{\left(-n x\right)}}{n}"," ",0,"(b*n*x*e^(n*x) - a)*e^(-n*x)/n","A",0
28,1,34,0,0.737118," ","integrate((a+b*exp(n*x))^2/exp(n*x),x, algorithm=""fricas"")","\frac{{\left(2 \, a b n x e^{\left(n x\right)} + b^{2} e^{\left(2 \, n x\right)} - a^{2}\right)} e^{\left(-n x\right)}}{n}"," ",0,"(2*a*b*n*x*e^(n*x) + b^2*e^(2*n*x) - a^2)*e^(-n*x)/n","A",0
29,1,48,0,0.678952," ","integrate((a+b*exp(n*x))^3/exp(n*x),x, algorithm=""fricas"")","\frac{{\left(6 \, a^{2} b n x e^{\left(n x\right)} + b^{3} e^{\left(3 \, n x\right)} + 6 \, a b^{2} e^{\left(2 \, n x\right)} - 2 \, a^{3}\right)} e^{\left(-n x\right)}}{2 \, n}"," ",0,"1/2*(6*a^2*b*n*x*e^(n*x) + b^3*e^(3*n*x) + 6*a*b^2*e^(2*n*x) - 2*a^3)*e^(-n*x)/n","A",0
30,1,39,0,0.893620," ","integrate(1/exp(n*x)/(a+b*exp(n*x)),x, algorithm=""fricas"")","-\frac{{\left(b n x e^{\left(n x\right)} - b e^{\left(n x\right)} \log\left(b e^{\left(n x\right)} + a\right) + a\right)} e^{\left(-n x\right)}}{a^{2} n}"," ",0,"-(b*n*x*e^(n*x) - b*e^(n*x)*log(b*e^(n*x) + a) + a)*e^(-n*x)/(a^2*n)","A",0
31,1,84,0,0.738815," ","integrate(1/exp(n*x)/(a+b*exp(n*x))^2,x, algorithm=""fricas"")","-\frac{2 \, b^{2} n x e^{\left(2 \, n x\right)} + a^{2} + 2 \, {\left(a b n x + a b\right)} e^{\left(n x\right)} - 2 \, {\left(b^{2} e^{\left(2 \, n x\right)} + a b e^{\left(n x\right)}\right)} \log\left(b e^{\left(n x\right)} + a\right)}{a^{3} b n e^{\left(2 \, n x\right)} + a^{4} n e^{\left(n x\right)}}"," ",0,"-(2*b^2*n*x*e^(2*n*x) + a^2 + 2*(a*b*n*x + a*b)*e^(n*x) - 2*(b^2*e^(2*n*x) + a*b*e^(n*x))*log(b*e^(n*x) + a))/(a^3*b*n*e^(2*n*x) + a^4*n*e^(n*x))","A",0
32,1,140,0,0.700222," ","integrate(1/exp(n*x)/(a+b*exp(n*x))^3,x, algorithm=""fricas"")","-\frac{6 \, b^{3} n x e^{\left(3 \, n x\right)} + 2 \, a^{3} + 6 \, {\left(2 \, a b^{2} n x + a b^{2}\right)} e^{\left(2 \, n x\right)} + 3 \, {\left(2 \, a^{2} b n x + 3 \, a^{2} b\right)} e^{\left(n x\right)} - 6 \, {\left(b^{3} e^{\left(3 \, n x\right)} + 2 \, a b^{2} e^{\left(2 \, n x\right)} + a^{2} b e^{\left(n x\right)}\right)} \log\left(b e^{\left(n x\right)} + a\right)}{2 \, {\left(a^{4} b^{2} n e^{\left(3 \, n x\right)} + 2 \, a^{5} b n e^{\left(2 \, n x\right)} + a^{6} n e^{\left(n x\right)}\right)}}"," ",0,"-1/2*(6*b^3*n*x*e^(3*n*x) + 2*a^3 + 6*(2*a*b^2*n*x + a*b^2)*e^(2*n*x) + 3*(2*a^2*b*n*x + 3*a^2*b)*e^(n*x) - 6*(b^3*e^(3*n*x) + 2*a*b^2*e^(2*n*x) + a^2*b*e^(n*x))*log(b*e^(n*x) + a))/(a^4*b^2*n*e^(3*n*x) + 2*a^5*b*n*e^(2*n*x) + a^6*n*e^(n*x))","A",0
33,1,179,0,0.551859," ","integrate(f^(b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c d f^{-2 \, a + e}} \log\left(\frac{d f^{2 \, b x + 2 \, a} f^{-2 \, a + e} - 2 \, \sqrt{-c d f^{-2 \, a + e}} f^{b x + a} - c}{d f^{2 \, b x + 2 \, a} f^{-2 \, a + e} + c}\right)}{2 \, b c d f^{-2 \, a + e} \log\left(f\right)}, -\frac{\sqrt{c d f^{-2 \, a + e}} \arctan\left(\frac{\sqrt{c d f^{-2 \, a + e}}}{d f^{b x + a} f^{-2 \, a + e}}\right)}{b c d f^{-2 \, a + e} \log\left(f\right)}\right]"," ",0,"[-1/2*sqrt(-c*d*f^(-2*a + e))*log((d*f^(2*b*x + 2*a)*f^(-2*a + e) - 2*sqrt(-c*d*f^(-2*a + e))*f^(b*x + a) - c)/(d*f^(2*b*x + 2*a)*f^(-2*a + e) + c))/(b*c*d*f^(-2*a + e)*log(f)), -sqrt(c*d*f^(-2*a + e))*arctan(sqrt(c*d*f^(-2*a + e))/(d*f^(b*x + a)*f^(-2*a + e)))/(b*c*d*f^(-2*a + e)*log(f))]","A",0
34,1,32,0,0.596685," ","integrate(f^(2*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""fricas"")","\frac{f^{a - e} \log\left(d f^{2 \, b x + e} + c\right)}{2 \, b d \log\left(f\right)}"," ",0,"1/2*f^(a - e)*log(d*f^(2*b*x + e) + c)/(b*d*log(f))","A",0
35,1,166,0,0.537549," ","integrate(f^(3*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""fricas"")","\left[\frac{f^{a - \frac{3}{2} \, e} \sqrt{-\frac{c}{d}} \log\left(-\frac{2 \, d f^{b x + \frac{1}{2} \, e} \sqrt{-\frac{c}{d}} - d f^{2 \, b x + e} + c}{d f^{2 \, b x + e} + c}\right) + 2 \, f^{b x + \frac{1}{2} \, e} f^{a - \frac{3}{2} \, e}}{2 \, b d \log\left(f\right)}, -\frac{f^{a - \frac{3}{2} \, e} \sqrt{\frac{c}{d}} \arctan\left(\frac{d f^{b x + \frac{1}{2} \, e} \sqrt{\frac{c}{d}}}{c}\right) - f^{b x + \frac{1}{2} \, e} f^{a - \frac{3}{2} \, e}}{b d \log\left(f\right)}\right]"," ",0,"[1/2*(f^(a - 3/2*e)*sqrt(-c/d)*log(-(2*d*f^(b*x + 1/2*e)*sqrt(-c/d) - d*f^(2*b*x + e) + c)/(d*f^(2*b*x + e) + c)) + 2*f^(b*x + 1/2*e)*f^(a - 3/2*e))/(b*d*log(f)), -(f^(a - 3/2*e)*sqrt(c/d)*arctan(d*f^(b*x + 1/2*e)*sqrt(c/d)/c) - f^(b*x + 1/2*e)*f^(a - 3/2*e))/(b*d*log(f))]","A",0
36,1,53,0,0.708063," ","integrate(f^(4*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""fricas"")","\frac{d f^{2 \, b x + e} f^{a - 2 \, e} - c f^{a - 2 \, e} \log\left(d f^{2 \, b x + e} + c\right)}{2 \, b d^{2} \log\left(f\right)}"," ",0,"1/2*(d*f^(2*b*x + e)*f^(a - 2*e) - c*f^(a - 2*e)*log(d*f^(2*b*x + e) + c))/(b*d^2*log(f))","A",0
37,1,211,0,0.620913," ","integrate(f^(5*b*x+a)/(c+d*f^(2*b*x+e)),x, algorithm=""fricas"")","\left[\frac{3 \, c f^{a - \frac{5}{2} \, e} \sqrt{-\frac{c}{d}} \log\left(\frac{2 \, d f^{b x + \frac{1}{2} \, e} \sqrt{-\frac{c}{d}} + d f^{2 \, b x + e} - c}{d f^{2 \, b x + e} + c}\right) + 2 \, d f^{3 \, b x + \frac{3}{2} \, e} f^{a - \frac{5}{2} \, e} - 6 \, c f^{b x + \frac{1}{2} \, e} f^{a - \frac{5}{2} \, e}}{6 \, b d^{2} \log\left(f\right)}, \frac{3 \, c f^{a - \frac{5}{2} \, e} \sqrt{\frac{c}{d}} \arctan\left(\frac{d f^{b x + \frac{1}{2} \, e} \sqrt{\frac{c}{d}}}{c}\right) + d f^{3 \, b x + \frac{3}{2} \, e} f^{a - \frac{5}{2} \, e} - 3 \, c f^{b x + \frac{1}{2} \, e} f^{a - \frac{5}{2} \, e}}{3 \, b d^{2} \log\left(f\right)}\right]"," ",0,"[1/6*(3*c*f^(a - 5/2*e)*sqrt(-c/d)*log((2*d*f^(b*x + 1/2*e)*sqrt(-c/d) + d*f^(2*b*x + e) - c)/(d*f^(2*b*x + e) + c)) + 2*d*f^(3*b*x + 3/2*e)*f^(a - 5/2*e) - 6*c*f^(b*x + 1/2*e)*f^(a - 5/2*e))/(b*d^2*log(f)), 1/3*(3*c*f^(a - 5/2*e)*sqrt(c/d)*arctan(d*f^(b*x + 1/2*e)*sqrt(c/d)/c) + d*f^(3*b*x + 3/2*e)*f^(a - 5/2*e) - 3*c*f^(b*x + 1/2*e)*f^(a - 5/2*e))/(b*d^2*log(f))]","A",0
38,1,3,0,0.612805," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""fricas"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
39,1,15,0,0.611287," ","integrate(exp(x)/(1-exp(2*x)),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(e^{x} + 1\right) - \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"1/2*log(e^x + 1) - 1/2*log(e^x - 1)","B",0
40,1,31,0,0.689528," ","integrate(exp(x)*x/(1-exp(2*x)),x, algorithm=""fricas"")","\frac{1}{2} \, x \log\left(e^{x} + 1\right) - \frac{1}{2} \, x \log\left(-e^{x} + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-e^{x}\right) - \frac{1}{2} \, {\rm Li}_2\left(e^{x}\right)"," ",0,"1/2*x*log(e^x + 1) - 1/2*x*log(-e^x + 1) + 1/2*dilog(-e^x) - 1/2*dilog(e^x)","A",0
41,1,48,0,0.629877," ","integrate(exp(x)*x^2/(1-exp(2*x)),x, algorithm=""fricas"")","\frac{1}{2} \, x^{2} \log\left(e^{x} + 1\right) - \frac{1}{2} \, x^{2} \log\left(-e^{x} + 1\right) + x {\rm Li}_2\left(-e^{x}\right) - x {\rm Li}_2\left(e^{x}\right) - {\rm polylog}\left(3, -e^{x}\right) + {\rm polylog}\left(3, e^{x}\right)"," ",0,"1/2*x^2*log(e^x + 1) - 1/2*x^2*log(-e^x + 1) + x*dilog(-e^x) - x*dilog(e^x) - polylog(3, -e^x) + polylog(3, e^x)","C",0
42,1,71,0,0.772128," ","integrate(exp(x)*x^3/(1-exp(2*x)),x, algorithm=""fricas"")","\frac{1}{2} \, x^{3} \log\left(e^{x} + 1\right) - \frac{1}{2} \, x^{3} \log\left(-e^{x} + 1\right) + \frac{3}{2} \, x^{2} {\rm Li}_2\left(-e^{x}\right) - \frac{3}{2} \, x^{2} {\rm Li}_2\left(e^{x}\right) - 3 \, x {\rm polylog}\left(3, -e^{x}\right) + 3 \, x {\rm polylog}\left(3, e^{x}\right) + 3 \, {\rm polylog}\left(4, -e^{x}\right) - 3 \, {\rm polylog}\left(4, e^{x}\right)"," ",0,"1/2*x^3*log(e^x + 1) - 1/2*x^3*log(-e^x + 1) + 3/2*x^2*dilog(-e^x) - 3/2*x^2*dilog(e^x) - 3*x*polylog(3, -e^x) + 3*x*polylog(3, e^x) + 3*polylog(4, -e^x) - 3*polylog(4, e^x)","C",0
43,1,86,0,0.688275," ","integrate(f^x/(a+b*f^(2*x)),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{b f^{2 \, x} - 2 \, \sqrt{-a b} f^{x} - a}{b f^{2 \, x} + a}\right)}{2 \, a b \log\left(f\right)}, -\frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{b f^{x}}\right)}{a b \log\left(f\right)}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((b*f^(2*x) - 2*sqrt(-a*b)*f^x - a)/(b*f^(2*x) + a))/(a*b*log(f)), -sqrt(a*b)*arctan(sqrt(a*b)/(b*f^x))/(a*b*log(f))]","A",0
44,1,112,0,0.689160," ","integrate(f^x*x/(a+b*f^(2*x)),x, algorithm=""fricas"")","-\frac{x \sqrt{-\frac{b}{a}} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) \log\left(f\right) - x \sqrt{-\frac{b}{a}} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right) \log\left(f\right) - \sqrt{-\frac{b}{a}} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) + \sqrt{-\frac{b}{a}} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right)}{2 \, b \log\left(f\right)^{2}}"," ",0,"-1/2*(x*sqrt(-b/a)*log(f^x*sqrt(-b/a) + 1)*log(f) - x*sqrt(-b/a)*log(-f^x*sqrt(-b/a) + 1)*log(f) - sqrt(-b/a)*dilog(f^x*sqrt(-b/a)) + sqrt(-b/a)*dilog(-f^x*sqrt(-b/a)))/(b*log(f)^2)","A",0
45,1,176,0,0.732011," ","integrate(f^x*x^2/(a+b*f^(2*x)),x, algorithm=""fricas"")","-\frac{x^{2} \sqrt{-\frac{b}{a}} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) \log\left(f\right)^{2} - x^{2} \sqrt{-\frac{b}{a}} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right) \log\left(f\right)^{2} - 2 \, x \sqrt{-\frac{b}{a}} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) \log\left(f\right) + 2 \, x \sqrt{-\frac{b}{a}} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right) \log\left(f\right) + 2 \, \sqrt{-\frac{b}{a}} {\rm polylog}\left(3, f^{x} \sqrt{-\frac{b}{a}}\right) - 2 \, \sqrt{-\frac{b}{a}} {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{b}{a}}\right)}{2 \, b \log\left(f\right)^{3}}"," ",0,"-1/2*(x^2*sqrt(-b/a)*log(f^x*sqrt(-b/a) + 1)*log(f)^2 - x^2*sqrt(-b/a)*log(-f^x*sqrt(-b/a) + 1)*log(f)^2 - 2*x*sqrt(-b/a)*dilog(f^x*sqrt(-b/a))*log(f) + 2*x*sqrt(-b/a)*dilog(-f^x*sqrt(-b/a))*log(f) + 2*sqrt(-b/a)*polylog(3, f^x*sqrt(-b/a)) - 2*sqrt(-b/a)*polylog(3, -f^x*sqrt(-b/a)))/(b*log(f)^3)","C",0
46,1,239,0,0.629460," ","integrate(f^x*x^3/(a+b*f^(2*x)),x, algorithm=""fricas"")","-\frac{x^{3} \sqrt{-\frac{b}{a}} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) \log\left(f\right)^{3} - x^{3} \sqrt{-\frac{b}{a}} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right) \log\left(f\right)^{3} - 3 \, x^{2} \sqrt{-\frac{b}{a}} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) \log\left(f\right)^{2} + 3 \, x^{2} \sqrt{-\frac{b}{a}} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right) \log\left(f\right)^{2} + 6 \, x \sqrt{-\frac{b}{a}} \log\left(f\right) {\rm polylog}\left(3, f^{x} \sqrt{-\frac{b}{a}}\right) - 6 \, x \sqrt{-\frac{b}{a}} \log\left(f\right) {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{b}{a}}\right) - 6 \, \sqrt{-\frac{b}{a}} {\rm polylog}\left(4, f^{x} \sqrt{-\frac{b}{a}}\right) + 6 \, \sqrt{-\frac{b}{a}} {\rm polylog}\left(4, -f^{x} \sqrt{-\frac{b}{a}}\right)}{2 \, b \log\left(f\right)^{4}}"," ",0,"-1/2*(x^3*sqrt(-b/a)*log(f^x*sqrt(-b/a) + 1)*log(f)^3 - x^3*sqrt(-b/a)*log(-f^x*sqrt(-b/a) + 1)*log(f)^3 - 3*x^2*sqrt(-b/a)*dilog(f^x*sqrt(-b/a))*log(f)^2 + 3*x^2*sqrt(-b/a)*dilog(-f^x*sqrt(-b/a))*log(f)^2 + 6*x*sqrt(-b/a)*log(f)*polylog(3, f^x*sqrt(-b/a)) - 6*x*sqrt(-b/a)*log(f)*polylog(3, -f^x*sqrt(-b/a)) - 6*sqrt(-b/a)*polylog(4, f^x*sqrt(-b/a)) + 6*sqrt(-b/a)*polylog(4, -f^x*sqrt(-b/a)))/(b*log(f)^4)","C",0
47,1,164,0,0.590761," ","integrate(f^x/(a+b*f^(2*x))^2,x, algorithm=""fricas"")","\left[\frac{2 \, a b f^{x} - {\left(\sqrt{-a b} b f^{2 \, x} + \sqrt{-a b} a\right)} \log\left(\frac{b f^{2 \, x} - 2 \, \sqrt{-a b} f^{x} - a}{b f^{2 \, x} + a}\right)}{4 \, {\left(a^{2} b^{2} f^{2 \, x} \log\left(f\right) + a^{3} b \log\left(f\right)\right)}}, \frac{a b f^{x} - {\left(\sqrt{a b} b f^{2 \, x} + \sqrt{a b} a\right)} \arctan\left(\frac{\sqrt{a b}}{b f^{x}}\right)}{2 \, {\left(a^{2} b^{2} f^{2 \, x} \log\left(f\right) + a^{3} b \log\left(f\right)\right)}}\right]"," ",0,"[1/4*(2*a*b*f^x - (sqrt(-a*b)*b*f^(2*x) + sqrt(-a*b)*a)*log((b*f^(2*x) - 2*sqrt(-a*b)*f^x - a)/(b*f^(2*x) + a)))/(a^2*b^2*f^(2*x)*log(f) + a^3*b*log(f)), 1/2*(a*b*f^x - (sqrt(a*b)*b*f^(2*x) + sqrt(a*b)*a)*arctan(sqrt(a*b)/(b*f^x)))/(a^2*b^2*f^(2*x)*log(f) + a^3*b*log(f))]","A",0
48,1,311,0,0.633687," ","integrate(f^x*x/(a+b*f^(2*x))^2,x, algorithm=""fricas"")","\frac{2 \, b f^{x} x \log\left(f\right) + {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) - {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right) - {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} \log\left(2 \, b f^{x} + 2 \, a \sqrt{-\frac{b}{a}}\right) + {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} \log\left(2 \, b f^{x} - 2 \, a \sqrt{-\frac{b}{a}}\right) - {\left(b f^{2 \, x} x \sqrt{-\frac{b}{a}} \log\left(f\right) + a x \sqrt{-\frac{b}{a}} \log\left(f\right)\right)} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) + {\left(b f^{2 \, x} x \sqrt{-\frac{b}{a}} \log\left(f\right) + a x \sqrt{-\frac{b}{a}} \log\left(f\right)\right)} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right)}{4 \, {\left(a b^{2} f^{2 \, x} \log\left(f\right)^{2} + a^{2} b \log\left(f\right)^{2}\right)}}"," ",0,"1/4*(2*b*f^x*x*log(f) + (b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*dilog(f^x*sqrt(-b/a)) - (b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*dilog(-f^x*sqrt(-b/a)) - (b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*log(2*b*f^x + 2*a*sqrt(-b/a)) + (b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*log(2*b*f^x - 2*a*sqrt(-b/a)) - (b*f^(2*x)*x*sqrt(-b/a)*log(f) + a*x*sqrt(-b/a)*log(f))*log(f^x*sqrt(-b/a) + 1) + (b*f^(2*x)*x*sqrt(-b/a)*log(f) + a*x*sqrt(-b/a)*log(f))*log(-f^x*sqrt(-b/a) + 1))/(a*b^2*f^(2*x)*log(f)^2 + a^2*b*log(f)^2)","B",0
49,1,388,0,0.771222," ","integrate(f^x*x^2/(a+b*f^(2*x))^2,x, algorithm=""fricas"")","\frac{2 \, b f^{x} x^{2} \log\left(f\right)^{2} + 2 \, {\left({\left(b x \log\left(f\right) - b\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x \log\left(f\right) - a\right)} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) - 2 \, {\left({\left(b x \log\left(f\right) - b\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x \log\left(f\right) - a\right)} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right) - {\left({\left(b x^{2} \log\left(f\right)^{2} - 2 \, b x \log\left(f\right)\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x^{2} \log\left(f\right)^{2} - 2 \, a x \log\left(f\right)\right)} \sqrt{-\frac{b}{a}}\right)} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) + {\left({\left(b x^{2} \log\left(f\right)^{2} - 2 \, b x \log\left(f\right)\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x^{2} \log\left(f\right)^{2} - 2 \, a x \log\left(f\right)\right)} \sqrt{-\frac{b}{a}}\right)} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right) - 2 \, {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(3, f^{x} \sqrt{-\frac{b}{a}}\right) + 2 \, {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{b}{a}}\right)}{4 \, {\left(a b^{2} f^{2 \, x} \log\left(f\right)^{3} + a^{2} b \log\left(f\right)^{3}\right)}}"," ",0,"1/4*(2*b*f^x*x^2*log(f)^2 + 2*((b*x*log(f) - b)*f^(2*x)*sqrt(-b/a) + (a*x*log(f) - a)*sqrt(-b/a))*dilog(f^x*sqrt(-b/a)) - 2*((b*x*log(f) - b)*f^(2*x)*sqrt(-b/a) + (a*x*log(f) - a)*sqrt(-b/a))*dilog(-f^x*sqrt(-b/a)) - ((b*x^2*log(f)^2 - 2*b*x*log(f))*f^(2*x)*sqrt(-b/a) + (a*x^2*log(f)^2 - 2*a*x*log(f))*sqrt(-b/a))*log(f^x*sqrt(-b/a) + 1) + ((b*x^2*log(f)^2 - 2*b*x*log(f))*f^(2*x)*sqrt(-b/a) + (a*x^2*log(f)^2 - 2*a*x*log(f))*sqrt(-b/a))*log(-f^x*sqrt(-b/a) + 1) - 2*(b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*polylog(3, f^x*sqrt(-b/a)) + 2*(b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*polylog(3, -f^x*sqrt(-b/a)))/(a*b^2*f^(2*x)*log(f)^3 + a^2*b*log(f)^3)","C",0
50,1,549,0,0.612289," ","integrate(f^x*x^3/(a+b*f^(2*x))^2,x, algorithm=""fricas"")","\frac{2 \, b f^{x} x^{3} \log\left(f\right)^{3} + 3 \, {\left({\left(b x^{2} \log\left(f\right)^{2} - 2 \, b x \log\left(f\right)\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x^{2} \log\left(f\right)^{2} - 2 \, a x \log\left(f\right)\right)} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) - 3 \, {\left({\left(b x^{2} \log\left(f\right)^{2} - 2 \, b x \log\left(f\right)\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x^{2} \log\left(f\right)^{2} - 2 \, a x \log\left(f\right)\right)} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right) - {\left({\left(b x^{3} \log\left(f\right)^{3} - 3 \, b x^{2} \log\left(f\right)^{2}\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x^{3} \log\left(f\right)^{3} - 3 \, a x^{2} \log\left(f\right)^{2}\right)} \sqrt{-\frac{b}{a}}\right)} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) + {\left({\left(b x^{3} \log\left(f\right)^{3} - 3 \, b x^{2} \log\left(f\right)^{2}\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x^{3} \log\left(f\right)^{3} - 3 \, a x^{2} \log\left(f\right)^{2}\right)} \sqrt{-\frac{b}{a}}\right)} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right) + 6 \, {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(4, f^{x} \sqrt{-\frac{b}{a}}\right) - 6 \, {\left(b f^{2 \, x} \sqrt{-\frac{b}{a}} + a \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(4, -f^{x} \sqrt{-\frac{b}{a}}\right) - 6 \, {\left({\left(b x \log\left(f\right) - b\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x \log\left(f\right) - a\right)} \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(3, f^{x} \sqrt{-\frac{b}{a}}\right) + 6 \, {\left({\left(b x \log\left(f\right) - b\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(a x \log\left(f\right) - a\right)} \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{b}{a}}\right)}{4 \, {\left(a b^{2} f^{2 \, x} \log\left(f\right)^{4} + a^{2} b \log\left(f\right)^{4}\right)}}"," ",0,"1/4*(2*b*f^x*x^3*log(f)^3 + 3*((b*x^2*log(f)^2 - 2*b*x*log(f))*f^(2*x)*sqrt(-b/a) + (a*x^2*log(f)^2 - 2*a*x*log(f))*sqrt(-b/a))*dilog(f^x*sqrt(-b/a)) - 3*((b*x^2*log(f)^2 - 2*b*x*log(f))*f^(2*x)*sqrt(-b/a) + (a*x^2*log(f)^2 - 2*a*x*log(f))*sqrt(-b/a))*dilog(-f^x*sqrt(-b/a)) - ((b*x^3*log(f)^3 - 3*b*x^2*log(f)^2)*f^(2*x)*sqrt(-b/a) + (a*x^3*log(f)^3 - 3*a*x^2*log(f)^2)*sqrt(-b/a))*log(f^x*sqrt(-b/a) + 1) + ((b*x^3*log(f)^3 - 3*b*x^2*log(f)^2)*f^(2*x)*sqrt(-b/a) + (a*x^3*log(f)^3 - 3*a*x^2*log(f)^2)*sqrt(-b/a))*log(-f^x*sqrt(-b/a) + 1) + 6*(b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*polylog(4, f^x*sqrt(-b/a)) - 6*(b*f^(2*x)*sqrt(-b/a) + a*sqrt(-b/a))*polylog(4, -f^x*sqrt(-b/a)) - 6*((b*x*log(f) - b)*f^(2*x)*sqrt(-b/a) + (a*x*log(f) - a)*sqrt(-b/a))*polylog(3, f^x*sqrt(-b/a)) + 6*((b*x*log(f) - b)*f^(2*x)*sqrt(-b/a) + (a*x*log(f) - a)*sqrt(-b/a))*polylog(3, -f^x*sqrt(-b/a)))/(a*b^2*f^(2*x)*log(f)^4 + a^2*b*log(f)^4)","C",0
51,1,258,0,0.981906," ","integrate(f^x/(a+b*f^(2*x))^3,x, algorithm=""fricas"")","\left[\frac{6 \, a b^{2} f^{3 \, x} + 10 \, a^{2} b f^{x} - 3 \, {\left(\sqrt{-a b} b^{2} f^{4 \, x} + 2 \, \sqrt{-a b} a b f^{2 \, x} + \sqrt{-a b} a^{2}\right)} \log\left(\frac{b f^{2 \, x} - 2 \, \sqrt{-a b} f^{x} - a}{b f^{2 \, x} + a}\right)}{16 \, {\left(a^{3} b^{3} f^{4 \, x} \log\left(f\right) + 2 \, a^{4} b^{2} f^{2 \, x} \log\left(f\right) + a^{5} b \log\left(f\right)\right)}}, \frac{3 \, a b^{2} f^{3 \, x} + 5 \, a^{2} b f^{x} - 3 \, {\left(\sqrt{a b} b^{2} f^{4 \, x} + 2 \, \sqrt{a b} a b f^{2 \, x} + \sqrt{a b} a^{2}\right)} \arctan\left(\frac{\sqrt{a b}}{b f^{x}}\right)}{8 \, {\left(a^{3} b^{3} f^{4 \, x} \log\left(f\right) + 2 \, a^{4} b^{2} f^{2 \, x} \log\left(f\right) + a^{5} b \log\left(f\right)\right)}}\right]"," ",0,"[1/16*(6*a*b^2*f^(3*x) + 10*a^2*b*f^x - 3*(sqrt(-a*b)*b^2*f^(4*x) + 2*sqrt(-a*b)*a*b*f^(2*x) + sqrt(-a*b)*a^2)*log((b*f^(2*x) - 2*sqrt(-a*b)*f^x - a)/(b*f^(2*x) + a)))/(a^3*b^3*f^(4*x)*log(f) + 2*a^4*b^2*f^(2*x)*log(f) + a^5*b*log(f)), 1/8*(3*a*b^2*f^(3*x) + 5*a^2*b*f^x - 3*(sqrt(a*b)*b^2*f^(4*x) + 2*sqrt(a*b)*a*b*f^(2*x) + sqrt(a*b)*a^2)*arctan(sqrt(a*b)/(b*f^x)))/(a^3*b^3*f^(4*x)*log(f) + 2*a^4*b^2*f^(2*x)*log(f) + a^5*b*log(f))]","A",0
52,1,494,0,0.628485," ","integrate(f^x*x/(a+b*f^(2*x))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x \log\left(f\right) - b^{2}\right)} f^{3 \, x} + 2 \, {\left(5 \, a b x \log\left(f\right) - a b\right)} f^{x} + 3 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) - 3 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right) - 4 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} \log\left(2 \, b f^{x} + 2 \, a \sqrt{-\frac{b}{a}}\right) + 4 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} \log\left(2 \, b f^{x} - 2 \, a \sqrt{-\frac{b}{a}}\right) - 3 \, {\left(b^{2} f^{4 \, x} x \sqrt{-\frac{b}{a}} \log\left(f\right) + 2 \, a b f^{2 \, x} x \sqrt{-\frac{b}{a}} \log\left(f\right) + a^{2} x \sqrt{-\frac{b}{a}} \log\left(f\right)\right)} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) + 3 \, {\left(b^{2} f^{4 \, x} x \sqrt{-\frac{b}{a}} \log\left(f\right) + 2 \, a b f^{2 \, x} x \sqrt{-\frac{b}{a}} \log\left(f\right) + a^{2} x \sqrt{-\frac{b}{a}} \log\left(f\right)\right)} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right)}{16 \, {\left(a^{2} b^{3} f^{4 \, x} \log\left(f\right)^{2} + 2 \, a^{3} b^{2} f^{2 \, x} \log\left(f\right)^{2} + a^{4} b \log\left(f\right)^{2}\right)}}"," ",0,"1/16*(2*(3*b^2*x*log(f) - b^2)*f^(3*x) + 2*(5*a*b*x*log(f) - a*b)*f^x + 3*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*dilog(f^x*sqrt(-b/a)) - 3*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*dilog(-f^x*sqrt(-b/a)) - 4*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*log(2*b*f^x + 2*a*sqrt(-b/a)) + 4*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*log(2*b*f^x - 2*a*sqrt(-b/a)) - 3*(b^2*f^(4*x)*x*sqrt(-b/a)*log(f) + 2*a*b*f^(2*x)*x*sqrt(-b/a)*log(f) + a^2*x*sqrt(-b/a)*log(f))*log(f^x*sqrt(-b/a) + 1) + 3*(b^2*f^(4*x)*x*sqrt(-b/a)*log(f) + 2*a*b*f^(2*x)*x*sqrt(-b/a)*log(f) + a^2*x*sqrt(-b/a)*log(f))*log(-f^x*sqrt(-b/a) + 1))/(a^2*b^3*f^(4*x)*log(f)^2 + 2*a^3*b^2*f^(2*x)*log(f)^2 + a^4*b*log(f)^2)","B",0
53,1,786,0,0.939113," ","integrate(f^x*x^2/(a+b*f^(2*x))^3,x, algorithm=""fricas"")","\frac{2 \, {\left(3 \, b^{2} x^{2} \log\left(f\right)^{2} - 2 \, b^{2} x \log\left(f\right)\right)} f^{3 \, x} + 2 \, {\left(5 \, a b x^{2} \log\left(f\right)^{2} - 2 \, a b x \log\left(f\right)\right)} f^{x} + 2 \, {\left({\left(3 \, b^{2} x \log\left(f\right) - 4 \, b^{2}\right)} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, {\left(3 \, a b x \log\left(f\right) - 4 \, a b\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(3 \, a^{2} x \log\left(f\right) - 4 \, a^{2}\right)} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{b}{a}}\right) - 2 \, {\left({\left(3 \, b^{2} x \log\left(f\right) - 4 \, b^{2}\right)} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, {\left(3 \, a b x \log\left(f\right) - 4 \, a b\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(3 \, a^{2} x \log\left(f\right) - 4 \, a^{2}\right)} \sqrt{-\frac{b}{a}}\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{b}{a}}\right) + 2 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} \log\left(2 \, b f^{x} + 2 \, a \sqrt{-\frac{b}{a}}\right) - 2 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} \log\left(2 \, b f^{x} - 2 \, a \sqrt{-\frac{b}{a}}\right) - {\left({\left(3 \, b^{2} x^{2} \log\left(f\right)^{2} - 8 \, b^{2} x \log\left(f\right)\right)} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, {\left(3 \, a b x^{2} \log\left(f\right)^{2} - 8 \, a b x \log\left(f\right)\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(3 \, a^{2} x^{2} \log\left(f\right)^{2} - 8 \, a^{2} x \log\left(f\right)\right)} \sqrt{-\frac{b}{a}}\right)} \log\left(f^{x} \sqrt{-\frac{b}{a}} + 1\right) + {\left({\left(3 \, b^{2} x^{2} \log\left(f\right)^{2} - 8 \, b^{2} x \log\left(f\right)\right)} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, {\left(3 \, a b x^{2} \log\left(f\right)^{2} - 8 \, a b x \log\left(f\right)\right)} f^{2 \, x} \sqrt{-\frac{b}{a}} + {\left(3 \, a^{2} x^{2} \log\left(f\right)^{2} - 8 \, a^{2} x \log\left(f\right)\right)} \sqrt{-\frac{b}{a}}\right)} \log\left(-f^{x} \sqrt{-\frac{b}{a}} + 1\right) - 6 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(3, f^{x} \sqrt{-\frac{b}{a}}\right) + 6 \, {\left(b^{2} f^{4 \, x} \sqrt{-\frac{b}{a}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{b}{a}} + a^{2} \sqrt{-\frac{b}{a}}\right)} {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{b}{a}}\right)}{16 \, {\left(a^{2} b^{3} f^{4 \, x} \log\left(f\right)^{3} + 2 \, a^{3} b^{2} f^{2 \, x} \log\left(f\right)^{3} + a^{4} b \log\left(f\right)^{3}\right)}}"," ",0,"1/16*(2*(3*b^2*x^2*log(f)^2 - 2*b^2*x*log(f))*f^(3*x) + 2*(5*a*b*x^2*log(f)^2 - 2*a*b*x*log(f))*f^x + 2*((3*b^2*x*log(f) - 4*b^2)*f^(4*x)*sqrt(-b/a) + 2*(3*a*b*x*log(f) - 4*a*b)*f^(2*x)*sqrt(-b/a) + (3*a^2*x*log(f) - 4*a^2)*sqrt(-b/a))*dilog(f^x*sqrt(-b/a)) - 2*((3*b^2*x*log(f) - 4*b^2)*f^(4*x)*sqrt(-b/a) + 2*(3*a*b*x*log(f) - 4*a*b)*f^(2*x)*sqrt(-b/a) + (3*a^2*x*log(f) - 4*a^2)*sqrt(-b/a))*dilog(-f^x*sqrt(-b/a)) + 2*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*log(2*b*f^x + 2*a*sqrt(-b/a)) - 2*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*log(2*b*f^x - 2*a*sqrt(-b/a)) - ((3*b^2*x^2*log(f)^2 - 8*b^2*x*log(f))*f^(4*x)*sqrt(-b/a) + 2*(3*a*b*x^2*log(f)^2 - 8*a*b*x*log(f))*f^(2*x)*sqrt(-b/a) + (3*a^2*x^2*log(f)^2 - 8*a^2*x*log(f))*sqrt(-b/a))*log(f^x*sqrt(-b/a) + 1) + ((3*b^2*x^2*log(f)^2 - 8*b^2*x*log(f))*f^(4*x)*sqrt(-b/a) + 2*(3*a*b*x^2*log(f)^2 - 8*a*b*x*log(f))*f^(2*x)*sqrt(-b/a) + (3*a^2*x^2*log(f)^2 - 8*a^2*x*log(f))*sqrt(-b/a))*log(-f^x*sqrt(-b/a) + 1) - 6*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*polylog(3, f^x*sqrt(-b/a)) + 6*(b^2*f^(4*x)*sqrt(-b/a) + 2*a*b*f^(2*x)*sqrt(-b/a) + a^2*sqrt(-b/a))*polylog(3, -f^x*sqrt(-b/a)))/(a^2*b^3*f^(4*x)*log(f)^3 + 2*a^3*b^2*f^(2*x)*log(f)^3 + a^4*b*log(f)^3)","C",0
54,1,86,0,0.931709," ","integrate(1/(b/(f^x)+a*f^x),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{a f^{2 \, x} - 2 \, \sqrt{-a b} f^{x} - b}{a f^{2 \, x} + b}\right)}{2 \, a b \log\left(f\right)}, -\frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{a f^{x}}\right)}{a b \log\left(f\right)}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((a*f^(2*x) - 2*sqrt(-a*b)*f^x - b)/(a*f^(2*x) + b))/(a*b*log(f)), -sqrt(a*b)*arctan(sqrt(a*b)/(a*f^x))/(a*b*log(f))]","A",0
55,1,112,0,0.816613," ","integrate(x/(b/(f^x)+a*f^x),x, algorithm=""fricas"")","-\frac{x \sqrt{-\frac{a}{b}} \log\left(f^{x} \sqrt{-\frac{a}{b}} + 1\right) \log\left(f\right) - x \sqrt{-\frac{a}{b}} \log\left(-f^{x} \sqrt{-\frac{a}{b}} + 1\right) \log\left(f\right) - \sqrt{-\frac{a}{b}} {\rm Li}_2\left(f^{x} \sqrt{-\frac{a}{b}}\right) + \sqrt{-\frac{a}{b}} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{a}{b}}\right)}{2 \, a \log\left(f\right)^{2}}"," ",0,"-1/2*(x*sqrt(-a/b)*log(f^x*sqrt(-a/b) + 1)*log(f) - x*sqrt(-a/b)*log(-f^x*sqrt(-a/b) + 1)*log(f) - sqrt(-a/b)*dilog(f^x*sqrt(-a/b)) + sqrt(-a/b)*dilog(-f^x*sqrt(-a/b)))/(a*log(f)^2)","A",0
56,1,176,0,0.886096," ","integrate(x^2/(b/(f^x)+a*f^x),x, algorithm=""fricas"")","-\frac{x^{2} \sqrt{-\frac{a}{b}} \log\left(f^{x} \sqrt{-\frac{a}{b}} + 1\right) \log\left(f\right)^{2} - x^{2} \sqrt{-\frac{a}{b}} \log\left(-f^{x} \sqrt{-\frac{a}{b}} + 1\right) \log\left(f\right)^{2} - 2 \, x \sqrt{-\frac{a}{b}} {\rm Li}_2\left(f^{x} \sqrt{-\frac{a}{b}}\right) \log\left(f\right) + 2 \, x \sqrt{-\frac{a}{b}} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{a}{b}}\right) \log\left(f\right) + 2 \, \sqrt{-\frac{a}{b}} {\rm polylog}\left(3, f^{x} \sqrt{-\frac{a}{b}}\right) - 2 \, \sqrt{-\frac{a}{b}} {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{a}{b}}\right)}{2 \, a \log\left(f\right)^{3}}"," ",0,"-1/2*(x^2*sqrt(-a/b)*log(f^x*sqrt(-a/b) + 1)*log(f)^2 - x^2*sqrt(-a/b)*log(-f^x*sqrt(-a/b) + 1)*log(f)^2 - 2*x*sqrt(-a/b)*dilog(f^x*sqrt(-a/b))*log(f) + 2*x*sqrt(-a/b)*dilog(-f^x*sqrt(-a/b))*log(f) + 2*sqrt(-a/b)*polylog(3, f^x*sqrt(-a/b)) - 2*sqrt(-a/b)*polylog(3, -f^x*sqrt(-a/b)))/(a*log(f)^3)","C",0
57,1,239,0,0.930560," ","integrate(x^3/(b/(f^x)+a*f^x),x, algorithm=""fricas"")","-\frac{x^{3} \sqrt{-\frac{a}{b}} \log\left(f^{x} \sqrt{-\frac{a}{b}} + 1\right) \log\left(f\right)^{3} - x^{3} \sqrt{-\frac{a}{b}} \log\left(-f^{x} \sqrt{-\frac{a}{b}} + 1\right) \log\left(f\right)^{3} - 3 \, x^{2} \sqrt{-\frac{a}{b}} {\rm Li}_2\left(f^{x} \sqrt{-\frac{a}{b}}\right) \log\left(f\right)^{2} + 3 \, x^{2} \sqrt{-\frac{a}{b}} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{a}{b}}\right) \log\left(f\right)^{2} + 6 \, x \sqrt{-\frac{a}{b}} \log\left(f\right) {\rm polylog}\left(3, f^{x} \sqrt{-\frac{a}{b}}\right) - 6 \, x \sqrt{-\frac{a}{b}} \log\left(f\right) {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{a}{b}}\right) - 6 \, \sqrt{-\frac{a}{b}} {\rm polylog}\left(4, f^{x} \sqrt{-\frac{a}{b}}\right) + 6 \, \sqrt{-\frac{a}{b}} {\rm polylog}\left(4, -f^{x} \sqrt{-\frac{a}{b}}\right)}{2 \, a \log\left(f\right)^{4}}"," ",0,"-1/2*(x^3*sqrt(-a/b)*log(f^x*sqrt(-a/b) + 1)*log(f)^3 - x^3*sqrt(-a/b)*log(-f^x*sqrt(-a/b) + 1)*log(f)^3 - 3*x^2*sqrt(-a/b)*dilog(f^x*sqrt(-a/b))*log(f)^2 + 3*x^2*sqrt(-a/b)*dilog(-f^x*sqrt(-a/b))*log(f)^2 + 6*x*sqrt(-a/b)*log(f)*polylog(3, f^x*sqrt(-a/b)) - 6*x*sqrt(-a/b)*log(f)*polylog(3, -f^x*sqrt(-a/b)) - 6*sqrt(-a/b)*polylog(4, f^x*sqrt(-a/b)) + 6*sqrt(-a/b)*polylog(4, -f^x*sqrt(-a/b)))/(a*log(f)^4)","C",0
58,1,21,0,0.822114," ","integrate(1/(b/(f^x)+a*f^x)^2,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(a^{2} f^{2 \, x} \log\left(f\right) + a b \log\left(f\right)\right)}}"," ",0,"-1/2/(a^2*f^(2*x)*log(f) + a*b*log(f))","A",0
59,1,61,0,0.608872," ","integrate(x/(b/(f^x)+a*f^x)^2,x, algorithm=""fricas"")","\frac{2 \, a f^{2 \, x} x \log\left(f\right) - {\left(a f^{2 \, x} + b\right)} \log\left(a f^{2 \, x} + b\right)}{4 \, {\left(a^{2} b f^{2 \, x} \log\left(f\right)^{2} + a b^{2} \log\left(f\right)^{2}\right)}}"," ",0,"1/4*(2*a*f^(2*x)*x*log(f) - (a*f^(2*x) + b)*log(a*f^(2*x) + b))/(a^2*b*f^(2*x)*log(f)^2 + a*b^2*log(f)^2)","A",0
60,1,159,0,0.788396," ","integrate(x^2/(b/(f^x)+a*f^x)^2,x, algorithm=""fricas"")","\frac{a f^{2 \, x} x^{2} \log\left(f\right)^{2} - {\left(a f^{2 \, x} + b\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{a}{b}}\right) - {\left(a f^{2 \, x} + b\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{a}{b}}\right) - {\left(a f^{2 \, x} x \log\left(f\right) + b x \log\left(f\right)\right)} \log\left(f^{x} \sqrt{-\frac{a}{b}} + 1\right) - {\left(a f^{2 \, x} x \log\left(f\right) + b x \log\left(f\right)\right)} \log\left(-f^{x} \sqrt{-\frac{a}{b}} + 1\right)}{2 \, {\left(a^{2} b f^{2 \, x} \log\left(f\right)^{3} + a b^{2} \log\left(f\right)^{3}\right)}}"," ",0,"1/2*(a*f^(2*x)*x^2*log(f)^2 - (a*f^(2*x) + b)*dilog(f^x*sqrt(-a/b)) - (a*f^(2*x) + b)*dilog(-f^x*sqrt(-a/b)) - (a*f^(2*x)*x*log(f) + b*x*log(f))*log(f^x*sqrt(-a/b) + 1) - (a*f^(2*x)*x*log(f) + b*x*log(f))*log(-f^x*sqrt(-a/b) + 1))/(a^2*b*f^(2*x)*log(f)^3 + a*b^2*log(f)^3)","A",0
61,1,241,0,0.871808," ","integrate(x^3/(b/(f^x)+a*f^x)^2,x, algorithm=""fricas"")","\frac{2 \, a f^{2 \, x} x^{3} \log\left(f\right)^{3} - 6 \, {\left(a f^{2 \, x} x \log\left(f\right) + b x \log\left(f\right)\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{a}{b}}\right) - 6 \, {\left(a f^{2 \, x} x \log\left(f\right) + b x \log\left(f\right)\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{a}{b}}\right) - 3 \, {\left(a f^{2 \, x} x^{2} \log\left(f\right)^{2} + b x^{2} \log\left(f\right)^{2}\right)} \log\left(f^{x} \sqrt{-\frac{a}{b}} + 1\right) - 3 \, {\left(a f^{2 \, x} x^{2} \log\left(f\right)^{2} + b x^{2} \log\left(f\right)^{2}\right)} \log\left(-f^{x} \sqrt{-\frac{a}{b}} + 1\right) + 6 \, {\left(a f^{2 \, x} + b\right)} {\rm polylog}\left(3, f^{x} \sqrt{-\frac{a}{b}}\right) + 6 \, {\left(a f^{2 \, x} + b\right)} {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{a}{b}}\right)}{4 \, {\left(a^{2} b f^{2 \, x} \log\left(f\right)^{4} + a b^{2} \log\left(f\right)^{4}\right)}}"," ",0,"1/4*(2*a*f^(2*x)*x^3*log(f)^3 - 6*(a*f^(2*x)*x*log(f) + b*x*log(f))*dilog(f^x*sqrt(-a/b)) - 6*(a*f^(2*x)*x*log(f) + b*x*log(f))*dilog(-f^x*sqrt(-a/b)) - 3*(a*f^(2*x)*x^2*log(f)^2 + b*x^2*log(f)^2)*log(f^x*sqrt(-a/b) + 1) - 3*(a*f^(2*x)*x^2*log(f)^2 + b*x^2*log(f)^2)*log(-f^x*sqrt(-a/b) + 1) + 6*(a*f^(2*x) + b)*polylog(3, f^x*sqrt(-a/b)) + 6*(a*f^(2*x) + b)*polylog(3, -f^x*sqrt(-a/b)))/(a^2*b*f^(2*x)*log(f)^4 + a*b^2*log(f)^4)","C",0
62,1,261,0,0.880001," ","integrate(1/(b/(f^x)+a*f^x)^3,x, algorithm=""fricas"")","\left[\frac{2 \, a^{2} b f^{3 \, x} - 2 \, a b^{2} f^{x} - {\left(\sqrt{-a b} a^{2} f^{4 \, x} + 2 \, \sqrt{-a b} a b f^{2 \, x} + \sqrt{-a b} b^{2}\right)} \log\left(\frac{a f^{2 \, x} - 2 \, \sqrt{-a b} f^{x} - b}{a f^{2 \, x} + b}\right)}{16 \, {\left(a^{4} b^{2} f^{4 \, x} \log\left(f\right) + 2 \, a^{3} b^{3} f^{2 \, x} \log\left(f\right) + a^{2} b^{4} \log\left(f\right)\right)}}, \frac{a^{2} b f^{3 \, x} - a b^{2} f^{x} - {\left(\sqrt{a b} a^{2} f^{4 \, x} + 2 \, \sqrt{a b} a b f^{2 \, x} + \sqrt{a b} b^{2}\right)} \arctan\left(\frac{\sqrt{a b}}{a f^{x}}\right)}{8 \, {\left(a^{4} b^{2} f^{4 \, x} \log\left(f\right) + 2 \, a^{3} b^{3} f^{2 \, x} \log\left(f\right) + a^{2} b^{4} \log\left(f\right)\right)}}\right]"," ",0,"[1/16*(2*a^2*b*f^(3*x) - 2*a*b^2*f^x - (sqrt(-a*b)*a^2*f^(4*x) + 2*sqrt(-a*b)*a*b*f^(2*x) + sqrt(-a*b)*b^2)*log((a*f^(2*x) - 2*sqrt(-a*b)*f^x - b)/(a*f^(2*x) + b)))/(a^4*b^2*f^(4*x)*log(f) + 2*a^3*b^3*f^(2*x)*log(f) + a^2*b^4*log(f)), 1/8*(a^2*b*f^(3*x) - a*b^2*f^x - (sqrt(a*b)*a^2*f^(4*x) + 2*sqrt(a*b)*a*b*f^(2*x) + sqrt(a*b)*b^2)*arctan(sqrt(a*b)/(a*f^x)))/(a^4*b^2*f^(4*x)*log(f) + 2*a^3*b^3*f^(2*x)*log(f) + a^2*b^4*log(f))]","A",0
63,1,352,0,0.831578," ","integrate(x/(b/(f^x)+a*f^x)^3,x, algorithm=""fricas"")","\frac{2 \, {\left(a^{2} x \log\left(f\right) + a^{2}\right)} f^{3 \, x} - 2 \, {\left(a b x \log\left(f\right) - a b\right)} f^{x} + {\left(a^{2} f^{4 \, x} \sqrt{-\frac{a}{b}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{a}{b}} + b^{2} \sqrt{-\frac{a}{b}}\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{a}{b}}\right) - {\left(a^{2} f^{4 \, x} \sqrt{-\frac{a}{b}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{a}{b}} + b^{2} \sqrt{-\frac{a}{b}}\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{a}{b}}\right) - {\left(a^{2} f^{4 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + 2 \, a b f^{2 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + b^{2} x \sqrt{-\frac{a}{b}} \log\left(f\right)\right)} \log\left(f^{x} \sqrt{-\frac{a}{b}} + 1\right) + {\left(a^{2} f^{4 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + 2 \, a b f^{2 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + b^{2} x \sqrt{-\frac{a}{b}} \log\left(f\right)\right)} \log\left(-f^{x} \sqrt{-\frac{a}{b}} + 1\right)}{16 \, {\left(a^{4} b f^{4 \, x} \log\left(f\right)^{2} + 2 \, a^{3} b^{2} f^{2 \, x} \log\left(f\right)^{2} + a^{2} b^{3} \log\left(f\right)^{2}\right)}}"," ",0,"1/16*(2*(a^2*x*log(f) + a^2)*f^(3*x) - 2*(a*b*x*log(f) - a*b)*f^x + (a^2*f^(4*x)*sqrt(-a/b) + 2*a*b*f^(2*x)*sqrt(-a/b) + b^2*sqrt(-a/b))*dilog(f^x*sqrt(-a/b)) - (a^2*f^(4*x)*sqrt(-a/b) + 2*a*b*f^(2*x)*sqrt(-a/b) + b^2*sqrt(-a/b))*dilog(-f^x*sqrt(-a/b)) - (a^2*f^(4*x)*x*sqrt(-a/b)*log(f) + 2*a*b*f^(2*x)*x*sqrt(-a/b)*log(f) + b^2*x*sqrt(-a/b)*log(f))*log(f^x*sqrt(-a/b) + 1) + (a^2*f^(4*x)*x*sqrt(-a/b)*log(f) + 2*a*b*f^(2*x)*x*sqrt(-a/b)*log(f) + b^2*x*sqrt(-a/b)*log(f))*log(-f^x*sqrt(-a/b) + 1))/(a^4*b*f^(4*x)*log(f)^2 + 2*a^3*b^2*f^(2*x)*log(f)^2 + a^2*b^3*log(f)^2)","B",0
64,1,674,0,0.744856," ","integrate(x^2/(b/(f^x)+a*f^x)^3,x, algorithm=""fricas"")","\frac{2 \, {\left(a^{2} x^{2} \log\left(f\right)^{2} + 2 \, a^{2} x \log\left(f\right)\right)} f^{3 \, x} - 2 \, {\left(a b x^{2} \log\left(f\right)^{2} - 2 \, a b x \log\left(f\right)\right)} f^{x} + 2 \, {\left(a^{2} f^{4 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + 2 \, a b f^{2 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + b^{2} x \sqrt{-\frac{a}{b}} \log\left(f\right)\right)} {\rm Li}_2\left(f^{x} \sqrt{-\frac{a}{b}}\right) - 2 \, {\left(a^{2} f^{4 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + 2 \, a b f^{2 \, x} x \sqrt{-\frac{a}{b}} \log\left(f\right) + b^{2} x \sqrt{-\frac{a}{b}} \log\left(f\right)\right)} {\rm Li}_2\left(-f^{x} \sqrt{-\frac{a}{b}}\right) - 2 \, {\left(a^{2} f^{4 \, x} \sqrt{-\frac{a}{b}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{a}{b}} + b^{2} \sqrt{-\frac{a}{b}}\right)} \log\left(2 \, a f^{x} + 2 \, b \sqrt{-\frac{a}{b}}\right) + 2 \, {\left(a^{2} f^{4 \, x} \sqrt{-\frac{a}{b}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{a}{b}} + b^{2} \sqrt{-\frac{a}{b}}\right)} \log\left(2 \, a f^{x} - 2 \, b \sqrt{-\frac{a}{b}}\right) - {\left(a^{2} f^{4 \, x} x^{2} \sqrt{-\frac{a}{b}} \log\left(f\right)^{2} + 2 \, a b f^{2 \, x} x^{2} \sqrt{-\frac{a}{b}} \log\left(f\right)^{2} + b^{2} x^{2} \sqrt{-\frac{a}{b}} \log\left(f\right)^{2}\right)} \log\left(f^{x} \sqrt{-\frac{a}{b}} + 1\right) + {\left(a^{2} f^{4 \, x} x^{2} \sqrt{-\frac{a}{b}} \log\left(f\right)^{2} + 2 \, a b f^{2 \, x} x^{2} \sqrt{-\frac{a}{b}} \log\left(f\right)^{2} + b^{2} x^{2} \sqrt{-\frac{a}{b}} \log\left(f\right)^{2}\right)} \log\left(-f^{x} \sqrt{-\frac{a}{b}} + 1\right) - 2 \, {\left(a^{2} f^{4 \, x} \sqrt{-\frac{a}{b}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{a}{b}} + b^{2} \sqrt{-\frac{a}{b}}\right)} {\rm polylog}\left(3, f^{x} \sqrt{-\frac{a}{b}}\right) + 2 \, {\left(a^{2} f^{4 \, x} \sqrt{-\frac{a}{b}} + 2 \, a b f^{2 \, x} \sqrt{-\frac{a}{b}} + b^{2} \sqrt{-\frac{a}{b}}\right)} {\rm polylog}\left(3, -f^{x} \sqrt{-\frac{a}{b}}\right)}{16 \, {\left(a^{4} b f^{4 \, x} \log\left(f\right)^{3} + 2 \, a^{3} b^{2} f^{2 \, x} \log\left(f\right)^{3} + a^{2} b^{3} \log\left(f\right)^{3}\right)}}"," ",0,"1/16*(2*(a^2*x^2*log(f)^2 + 2*a^2*x*log(f))*f^(3*x) - 2*(a*b*x^2*log(f)^2 - 2*a*b*x*log(f))*f^x + 2*(a^2*f^(4*x)*x*sqrt(-a/b)*log(f) + 2*a*b*f^(2*x)*x*sqrt(-a/b)*log(f) + b^2*x*sqrt(-a/b)*log(f))*dilog(f^x*sqrt(-a/b)) - 2*(a^2*f^(4*x)*x*sqrt(-a/b)*log(f) + 2*a*b*f^(2*x)*x*sqrt(-a/b)*log(f) + b^2*x*sqrt(-a/b)*log(f))*dilog(-f^x*sqrt(-a/b)) - 2*(a^2*f^(4*x)*sqrt(-a/b) + 2*a*b*f^(2*x)*sqrt(-a/b) + b^2*sqrt(-a/b))*log(2*a*f^x + 2*b*sqrt(-a/b)) + 2*(a^2*f^(4*x)*sqrt(-a/b) + 2*a*b*f^(2*x)*sqrt(-a/b) + b^2*sqrt(-a/b))*log(2*a*f^x - 2*b*sqrt(-a/b)) - (a^2*f^(4*x)*x^2*sqrt(-a/b)*log(f)^2 + 2*a*b*f^(2*x)*x^2*sqrt(-a/b)*log(f)^2 + b^2*x^2*sqrt(-a/b)*log(f)^2)*log(f^x*sqrt(-a/b) + 1) + (a^2*f^(4*x)*x^2*sqrt(-a/b)*log(f)^2 + 2*a*b*f^(2*x)*x^2*sqrt(-a/b)*log(f)^2 + b^2*x^2*sqrt(-a/b)*log(f)^2)*log(-f^x*sqrt(-a/b) + 1) - 2*(a^2*f^(4*x)*sqrt(-a/b) + 2*a*b*f^(2*x)*sqrt(-a/b) + b^2*sqrt(-a/b))*polylog(3, f^x*sqrt(-a/b)) + 2*(a^2*f^(4*x)*sqrt(-a/b) + 2*a*b*f^(2*x)*sqrt(-a/b) + b^2*sqrt(-a/b))*polylog(3, -f^x*sqrt(-a/b)))/(a^4*b*f^(4*x)*log(f)^3 + 2*a^3*b^2*f^(2*x)*log(f)^3 + a^2*b^3*log(f)^3)","C",0
65,1,135,0,0.999882," ","integrate(f^(c*x^2+b*x+a)*g^(f*x^2+e*x+d),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c \log\left(f\right) - f \log\left(g\right)} \operatorname{erf}\left(\frac{{\left({\left(2 \, c x + b\right)} \log\left(f\right) + {\left(2 \, f x + e\right)} \log\left(g\right)\right)} \sqrt{-c \log\left(f\right) - f \log\left(g\right)}}{2 \, {\left(c \log\left(f\right) + f \log\left(g\right)\right)}}\right) e^{\left(-\frac{{\left(b^{2} - 4 \, a c\right)} \log\left(f\right)^{2} - 2 \, {\left(2 \, c d - b e + 2 \, a f\right)} \log\left(f\right) \log\left(g\right) + {\left(e^{2} - 4 \, d f\right)} \log\left(g\right)^{2}}{4 \, {\left(c \log\left(f\right) + f \log\left(g\right)\right)}}\right)}}{2 \, {\left(c \log\left(f\right) + f \log\left(g\right)\right)}}"," ",0,"-1/2*sqrt(pi)*sqrt(-c*log(f) - f*log(g))*erf(1/2*((2*c*x + b)*log(f) + (2*f*x + e)*log(g))*sqrt(-c*log(f) - f*log(g))/(c*log(f) + f*log(g)))*e^(-1/4*((b^2 - 4*a*c)*log(f)^2 - 2*(2*c*d - b*e + 2*a*f)*log(f)*log(g) + (e^2 - 4*d*f)*log(g)^2)/(c*log(f) + f*log(g)))/(c*log(f) + f*log(g))","A",0
66,0,0,0,1.010392," ","integrate(F^(e*(d*x+c))*(a+b*G^(h*(g*x+f)))^n,x, algorithm=""fricas"")","{\rm integral}\left({\left(G^{g h x + f h} b + a\right)}^{n} F^{d e x + c e}, x\right)"," ",0,"integral((G^(g*h*x + f*h)*b + a)^n*F^(d*e*x + c*e), x)","F",0
67,0,0,0,0.938214," ","integrate(F^(e*(d*x+c))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{d e x + c e} H^{s t x + r t}}{F^{d e x + c e} b + a}, x\right)"," ",0,"integral(F^(d*e*x + c*e)*H^(s*t*x + r*t)/(F^(d*e*x + c*e)*b + a), x)","F",0
68,0,0,0,0.582009," ","integrate(F^(e*(d*x+f))*H^(t*(s*x+r))/(a+b*F^(e*(d*x+c))),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{d e x + e f} H^{s t x + r t}}{F^{d e x + c e} b + a}, x\right)"," ",0,"integral(F^(d*e*x + e*f)*H^(s*t*x + r*t)/(F^(d*e*x + c*e)*b + a), x)","F",0
69,1,40,0,0.958630," ","integrate(f^(b*x^2+a)*x^m,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{1}{2} \, {\left(m - 1\right)} \log\left(-b \log\left(f\right)\right) + a \log\left(f\right)\right)} \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -b x^{2} \log\left(f\right)\right)}{2 \, b \log\left(f\right)}"," ",0,"1/2*e^(-1/2*(m - 1)*log(-b*log(f)) + a*log(f))*gamma(1/2*m + 1/2, -b*x^2*log(f))/(b*log(f))","A",0
70,1,75,0,0.632546," ","integrate(f^(b*x^2+a)*x^11,x, algorithm=""fricas"")","\frac{{\left(b^{5} x^{10} \log\left(f\right)^{5} - 5 \, b^{4} x^{8} \log\left(f\right)^{4} + 20 \, b^{3} x^{6} \log\left(f\right)^{3} - 60 \, b^{2} x^{4} \log\left(f\right)^{2} + 120 \, b x^{2} \log\left(f\right) - 120\right)} f^{b x^{2} + a}}{2 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/2*(b^5*x^10*log(f)^5 - 5*b^4*x^8*log(f)^4 + 20*b^3*x^6*log(f)^3 - 60*b^2*x^4*log(f)^2 + 120*b*x^2*log(f) - 120)*f^(b*x^2 + a)/(b^6*log(f)^6)","A",0
71,1,63,0,0.984742," ","integrate(f^(b*x^2+a)*x^9,x, algorithm=""fricas"")","\frac{{\left(b^{4} x^{8} \log\left(f\right)^{4} - 4 \, b^{3} x^{6} \log\left(f\right)^{3} + 12 \, b^{2} x^{4} \log\left(f\right)^{2} - 24 \, b x^{2} \log\left(f\right) + 24\right)} f^{b x^{2} + a}}{2 \, b^{5} \log\left(f\right)^{5}}"," ",0,"1/2*(b^4*x^8*log(f)^4 - 4*b^3*x^6*log(f)^3 + 12*b^2*x^4*log(f)^2 - 24*b*x^2*log(f) + 24)*f^(b*x^2 + a)/(b^5*log(f)^5)","A",0
72,1,51,0,0.601000," ","integrate(f^(b*x^2+a)*x^7,x, algorithm=""fricas"")","\frac{{\left(b^{3} x^{6} \log\left(f\right)^{3} - 3 \, b^{2} x^{4} \log\left(f\right)^{2} + 6 \, b x^{2} \log\left(f\right) - 6\right)} f^{b x^{2} + a}}{2 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/2*(b^3*x^6*log(f)^3 - 3*b^2*x^4*log(f)^2 + 6*b*x^2*log(f) - 6)*f^(b*x^2 + a)/(b^4*log(f)^4)","A",0
73,1,39,0,0.895599," ","integrate(f^(b*x^2+a)*x^5,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{4} \log\left(f\right)^{2} - 2 \, b x^{2} \log\left(f\right) + 2\right)} f^{b x^{2} + a}}{2 \, b^{3} \log\left(f\right)^{3}}"," ",0,"1/2*(b^2*x^4*log(f)^2 - 2*b*x^2*log(f) + 2)*f^(b*x^2 + a)/(b^3*log(f)^3)","A",0
74,1,27,0,0.572497," ","integrate(f^(b*x^2+a)*x^3,x, algorithm=""fricas"")","\frac{{\left(b x^{2} \log\left(f\right) - 1\right)} f^{b x^{2} + a}}{2 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/2*(b*x^2*log(f) - 1)*f^(b*x^2 + a)/(b^2*log(f)^2)","A",0
75,1,18,0,0.909509," ","integrate(f^(b*x^2+a)*x,x, algorithm=""fricas"")","\frac{f^{b x^{2} + a}}{2 \, b \log\left(f\right)}"," ",0,"1/2*f^(b*x^2 + a)/(b*log(f))","A",0
76,1,13,0,0.818851," ","integrate(f^(b*x^2+a)/x,x, algorithm=""fricas"")","\frac{1}{2} \, f^{a} {\rm Ei}\left(b x^{2} \log\left(f\right)\right)"," ",0,"1/2*f^a*Ei(b*x^2*log(f))","A",0
77,1,35,0,0.647119," ","integrate(f^(b*x^2+a)/x^3,x, algorithm=""fricas"")","\frac{b f^{a} x^{2} {\rm Ei}\left(b x^{2} \log\left(f\right)\right) \log\left(f\right) - f^{b x^{2} + a}}{2 \, x^{2}}"," ",0,"1/2*(b*f^a*x^2*Ei(b*x^2*log(f))*log(f) - f^(b*x^2 + a))/x^2","A",0
78,1,48,0,0.950284," ","integrate(f^(b*x^2+a)/x^5,x, algorithm=""fricas"")","\frac{b^{2} f^{a} x^{4} {\rm Ei}\left(b x^{2} \log\left(f\right)\right) \log\left(f\right)^{2} - {\left(b x^{2} \log\left(f\right) + 1\right)} f^{b x^{2} + a}}{4 \, x^{4}}"," ",0,"1/4*(b^2*f^a*x^4*Ei(b*x^2*log(f))*log(f)^2 - (b*x^2*log(f) + 1)*f^(b*x^2 + a))/x^4","A",0
79,1,59,0,0.682192," ","integrate(f^(b*x^2+a)/x^7,x, algorithm=""fricas"")","\frac{b^{3} f^{a} x^{6} {\rm Ei}\left(b x^{2} \log\left(f\right)\right) \log\left(f\right)^{3} - {\left(b^{2} x^{4} \log\left(f\right)^{2} + b x^{2} \log\left(f\right) + 2\right)} f^{b x^{2} + a}}{12 \, x^{6}}"," ",0,"1/12*(b^3*f^a*x^6*Ei(b*x^2*log(f))*log(f)^3 - (b^2*x^4*log(f)^2 + b*x^2*log(f) + 2)*f^(b*x^2 + a))/x^6","A",0
80,1,71,0,0.900914," ","integrate(f^(b*x^2+a)/x^9,x, algorithm=""fricas"")","\frac{b^{4} f^{a} x^{8} {\rm Ei}\left(b x^{2} \log\left(f\right)\right) \log\left(f\right)^{4} - {\left(b^{3} x^{6} \log\left(f\right)^{3} + b^{2} x^{4} \log\left(f\right)^{2} + 2 \, b x^{2} \log\left(f\right) + 6\right)} f^{b x^{2} + a}}{48 \, x^{8}}"," ",0,"1/48*(b^4*f^a*x^8*Ei(b*x^2*log(f))*log(f)^4 - (b^3*x^6*log(f)^3 + b^2*x^4*log(f)^2 + 2*b*x^2*log(f) + 6)*f^(b*x^2 + a))/x^8","B",0
81,1,83,0,0.856730," ","integrate(f^(b*x^2+a)/x^11,x, algorithm=""fricas"")","\frac{b^{5} f^{a} x^{10} {\rm Ei}\left(b x^{2} \log\left(f\right)\right) \log\left(f\right)^{5} - {\left(b^{4} x^{8} \log\left(f\right)^{4} + b^{3} x^{6} \log\left(f\right)^{3} + 2 \, b^{2} x^{4} \log\left(f\right)^{2} + 6 \, b x^{2} \log\left(f\right) + 24\right)} f^{b x^{2} + a}}{240 \, x^{10}}"," ",0,"1/240*(b^5*f^a*x^10*Ei(b*x^2*log(f))*log(f)^5 - (b^4*x^8*log(f)^4 + b^3*x^6*log(f)^3 + 2*b^2*x^4*log(f)^2 + 6*b*x^2*log(f) + 24)*f^(b*x^2 + a))/x^10","B",0
82,1,113,0,0.873043," ","integrate(f^(b*x^2+a)*x^12,x, algorithm=""fricas"")","-\frac{10395 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) - 2 \, {\left(32 \, b^{6} x^{11} \log\left(f\right)^{6} - 176 \, b^{5} x^{9} \log\left(f\right)^{5} + 792 \, b^{4} x^{7} \log\left(f\right)^{4} - 2772 \, b^{3} x^{5} \log\left(f\right)^{3} + 6930 \, b^{2} x^{3} \log\left(f\right)^{2} - 10395 \, b x \log\left(f\right)\right)} f^{b x^{2} + a}}{128 \, b^{7} \log\left(f\right)^{7}}"," ",0,"-1/128*(10395*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x) - 2*(32*b^6*x^11*log(f)^6 - 176*b^5*x^9*log(f)^5 + 792*b^4*x^7*log(f)^4 - 2772*b^3*x^5*log(f)^3 + 6930*b^2*x^3*log(f)^2 - 10395*b*x*log(f))*f^(b*x^2 + a))/(b^7*log(f)^7)","A",0
83,1,101,0,0.889804," ","integrate(f^(b*x^2+a)*x^10,x, algorithm=""fricas"")","\frac{945 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) + 2 \, {\left(16 \, b^{5} x^{9} \log\left(f\right)^{5} - 72 \, b^{4} x^{7} \log\left(f\right)^{4} + 252 \, b^{3} x^{5} \log\left(f\right)^{3} - 630 \, b^{2} x^{3} \log\left(f\right)^{2} + 945 \, b x \log\left(f\right)\right)} f^{b x^{2} + a}}{64 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/64*(945*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x) + 2*(16*b^5*x^9*log(f)^5 - 72*b^4*x^7*log(f)^4 + 252*b^3*x^5*log(f)^3 - 630*b^2*x^3*log(f)^2 + 945*b*x*log(f))*f^(b*x^2 + a))/(b^6*log(f)^6)","A",0
84,1,89,0,0.973242," ","integrate(f^(b*x^2+a)*x^8,x, algorithm=""fricas"")","-\frac{105 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) - 2 \, {\left(8 \, b^{4} x^{7} \log\left(f\right)^{4} - 28 \, b^{3} x^{5} \log\left(f\right)^{3} + 70 \, b^{2} x^{3} \log\left(f\right)^{2} - 105 \, b x \log\left(f\right)\right)} f^{b x^{2} + a}}{32 \, b^{5} \log\left(f\right)^{5}}"," ",0,"-1/32*(105*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x) - 2*(8*b^4*x^7*log(f)^4 - 28*b^3*x^5*log(f)^3 + 70*b^2*x^3*log(f)^2 - 105*b*x*log(f))*f^(b*x^2 + a))/(b^5*log(f)^5)","A",0
85,1,77,0,0.950450," ","integrate(f^(b*x^2+a)*x^6,x, algorithm=""fricas"")","\frac{15 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) + 2 \, {\left(4 \, b^{3} x^{5} \log\left(f\right)^{3} - 10 \, b^{2} x^{3} \log\left(f\right)^{2} + 15 \, b x \log\left(f\right)\right)} f^{b x^{2} + a}}{16 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/16*(15*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x) + 2*(4*b^3*x^5*log(f)^3 - 10*b^2*x^3*log(f)^2 + 15*b*x*log(f))*f^(b*x^2 + a))/(b^4*log(f)^4)","A",0
86,1,65,0,0.832780," ","integrate(f^(b*x^2+a)*x^4,x, algorithm=""fricas"")","-\frac{3 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) - 2 \, {\left(2 \, b^{2} x^{3} \log\left(f\right)^{2} - 3 \, b x \log\left(f\right)\right)} f^{b x^{2} + a}}{8 \, b^{3} \log\left(f\right)^{3}}"," ",0,"-1/8*(3*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x) - 2*(2*b^2*x^3*log(f)^2 - 3*b*x*log(f))*f^(b*x^2 + a))/(b^3*log(f)^3)","A",0
87,1,49,0,0.945175," ","integrate(f^(b*x^2+a)*x^2,x, algorithm=""fricas"")","\frac{2 \, b f^{b x^{2} + a} x \log\left(f\right) + \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{4 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/4*(2*b*f^(b*x^2 + a)*x*log(f) + sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x))/(b^2*log(f)^2)","A",0
88,1,32,0,1.121016," ","integrate(f^(b*x^2+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right)}{2 \, b \log\left(f\right)}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x)/(b*log(f))","A",0
89,1,40,0,0.881556," ","integrate(f^(b*x^2+a)/x^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} x \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) + f^{b x^{2} + a}}{x}"," ",0,"-(sqrt(pi)*sqrt(-b*log(f))*f^a*x*erf(sqrt(-b*log(f))*x) + f^(b*x^2 + a))/x","A",0
90,1,57,0,0.906705," ","integrate(f^(b*x^2+a)/x^4,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b f^{a} x^{3} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) \log\left(f\right) + {\left(2 \, b x^{2} \log\left(f\right) + 1\right)} f^{b x^{2} + a}}{3 \, x^{3}}"," ",0,"-1/3*(2*sqrt(pi)*sqrt(-b*log(f))*b*f^a*x^3*erf(sqrt(-b*log(f))*x)*log(f) + (2*b*x^2*log(f) + 1)*f^(b*x^2 + a))/x^3","A",0
91,1,73,0,0.963308," ","integrate(f^(b*x^2+a)/x^6,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{2} f^{a} x^{5} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) \log\left(f\right)^{2} + {\left(4 \, b^{2} x^{4} \log\left(f\right)^{2} + 2 \, b x^{2} \log\left(f\right) + 3\right)} f^{b x^{2} + a}}{15 \, x^{5}}"," ",0,"-1/15*(4*sqrt(pi)*sqrt(-b*log(f))*b^2*f^a*x^5*erf(sqrt(-b*log(f))*x)*log(f)^2 + (4*b^2*x^4*log(f)^2 + 2*b*x^2*log(f) + 3)*f^(b*x^2 + a))/x^5","A",0
92,1,85,0,0.812461," ","integrate(f^(b*x^2+a)/x^8,x, algorithm=""fricas"")","-\frac{8 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{3} f^{a} x^{7} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) \log\left(f\right)^{3} + {\left(8 \, b^{3} x^{6} \log\left(f\right)^{3} + 4 \, b^{2} x^{4} \log\left(f\right)^{2} + 6 \, b x^{2} \log\left(f\right) + 15\right)} f^{b x^{2} + a}}{105 \, x^{7}}"," ",0,"-1/105*(8*sqrt(pi)*sqrt(-b*log(f))*b^3*f^a*x^7*erf(sqrt(-b*log(f))*x)*log(f)^3 + (8*b^3*x^6*log(f)^3 + 4*b^2*x^4*log(f)^2 + 6*b*x^2*log(f) + 15)*f^(b*x^2 + a))/x^7","A",0
93,1,97,0,0.617496," ","integrate(f^(b*x^2+a)/x^10,x, algorithm=""fricas"")","-\frac{16 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{4} f^{a} x^{9} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) \log\left(f\right)^{4} + {\left(16 \, b^{4} x^{8} \log\left(f\right)^{4} + 8 \, b^{3} x^{6} \log\left(f\right)^{3} + 12 \, b^{2} x^{4} \log\left(f\right)^{2} + 30 \, b x^{2} \log\left(f\right) + 105\right)} f^{b x^{2} + a}}{945 \, x^{9}}"," ",0,"-1/945*(16*sqrt(pi)*sqrt(-b*log(f))*b^4*f^a*x^9*erf(sqrt(-b*log(f))*x)*log(f)^4 + (16*b^4*x^8*log(f)^4 + 8*b^3*x^6*log(f)^3 + 12*b^2*x^4*log(f)^2 + 30*b*x^2*log(f) + 105)*f^(b*x^2 + a))/x^9","A",0
94,1,109,0,0.801780," ","integrate(f^(b*x^2+a)/x^12,x, algorithm=""fricas"")","-\frac{32 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{5} f^{a} x^{11} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x\right) \log\left(f\right)^{5} + {\left(32 \, b^{5} x^{10} \log\left(f\right)^{5} + 16 \, b^{4} x^{8} \log\left(f\right)^{4} + 24 \, b^{3} x^{6} \log\left(f\right)^{3} + 60 \, b^{2} x^{4} \log\left(f\right)^{2} + 210 \, b x^{2} \log\left(f\right) + 945\right)} f^{b x^{2} + a}}{10395 \, x^{11}}"," ",0,"-1/10395*(32*sqrt(pi)*sqrt(-b*log(f))*b^5*f^a*x^11*erf(sqrt(-b*log(f))*x)*log(f)^5 + (32*b^5*x^10*log(f)^5 + 16*b^4*x^8*log(f)^4 + 24*b^3*x^6*log(f)^3 + 60*b^2*x^4*log(f)^2 + 210*b*x^2*log(f) + 945)*f^(b*x^2 + a))/x^11","A",0
95,1,40,0,0.927929," ","integrate(f^(b*x^3+a)*x^m,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{1}{3} \, {\left(m - 2\right)} \log\left(-b \log\left(f\right)\right) + a \log\left(f\right)\right)} \Gamma\left(\frac{1}{3} \, m + \frac{1}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, b \log\left(f\right)}"," ",0,"1/3*e^(-1/3*(m - 2)*log(-b*log(f)) + a*log(f))*gamma(1/3*m + 1/3, -b*x^3*log(f))/(b*log(f))","A",0
96,1,75,0,0.632250," ","integrate(f^(b*x^3+a)*x^17,x, algorithm=""fricas"")","\frac{{\left(b^{5} x^{15} \log\left(f\right)^{5} - 5 \, b^{4} x^{12} \log\left(f\right)^{4} + 20 \, b^{3} x^{9} \log\left(f\right)^{3} - 60 \, b^{2} x^{6} \log\left(f\right)^{2} + 120 \, b x^{3} \log\left(f\right) - 120\right)} f^{b x^{3} + a}}{3 \, b^{6} \log\left(f\right)^{6}}"," ",0,"1/3*(b^5*x^15*log(f)^5 - 5*b^4*x^12*log(f)^4 + 20*b^3*x^9*log(f)^3 - 60*b^2*x^6*log(f)^2 + 120*b*x^3*log(f) - 120)*f^(b*x^3 + a)/(b^6*log(f)^6)","A",0
97,1,63,0,0.784125," ","integrate(f^(b*x^3+a)*x^14,x, algorithm=""fricas"")","\frac{{\left(b^{4} x^{12} \log\left(f\right)^{4} - 4 \, b^{3} x^{9} \log\left(f\right)^{3} + 12 \, b^{2} x^{6} \log\left(f\right)^{2} - 24 \, b x^{3} \log\left(f\right) + 24\right)} f^{b x^{3} + a}}{3 \, b^{5} \log\left(f\right)^{5}}"," ",0,"1/3*(b^4*x^12*log(f)^4 - 4*b^3*x^9*log(f)^3 + 12*b^2*x^6*log(f)^2 - 24*b*x^3*log(f) + 24)*f^(b*x^3 + a)/(b^5*log(f)^5)","A",0
98,1,51,0,0.622002," ","integrate(f^(b*x^3+a)*x^11,x, algorithm=""fricas"")","\frac{{\left(b^{3} x^{9} \log\left(f\right)^{3} - 3 \, b^{2} x^{6} \log\left(f\right)^{2} + 6 \, b x^{3} \log\left(f\right) - 6\right)} f^{b x^{3} + a}}{3 \, b^{4} \log\left(f\right)^{4}}"," ",0,"1/3*(b^3*x^9*log(f)^3 - 3*b^2*x^6*log(f)^2 + 6*b*x^3*log(f) - 6)*f^(b*x^3 + a)/(b^4*log(f)^4)","A",0
99,1,39,0,0.618783," ","integrate(f^(b*x^3+a)*x^8,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{6} \log\left(f\right)^{2} - 2 \, b x^{3} \log\left(f\right) + 2\right)} f^{b x^{3} + a}}{3 \, b^{3} \log\left(f\right)^{3}}"," ",0,"1/3*(b^2*x^6*log(f)^2 - 2*b*x^3*log(f) + 2)*f^(b*x^3 + a)/(b^3*log(f)^3)","A",0
100,1,27,0,0.795132," ","integrate(f^(b*x^3+a)*x^5,x, algorithm=""fricas"")","\frac{{\left(b x^{3} \log\left(f\right) - 1\right)} f^{b x^{3} + a}}{3 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/3*(b*x^3*log(f) - 1)*f^(b*x^3 + a)/(b^2*log(f)^2)","A",0
101,1,18,0,0.818210," ","integrate(f^(b*x^3+a)*x^2,x, algorithm=""fricas"")","\frac{f^{b x^{3} + a}}{3 \, b \log\left(f\right)}"," ",0,"1/3*f^(b*x^3 + a)/(b*log(f))","A",0
102,1,13,0,0.844775," ","integrate(f^(b*x^3+a)/x,x, algorithm=""fricas"")","\frac{1}{3} \, f^{a} {\rm Ei}\left(b x^{3} \log\left(f\right)\right)"," ",0,"1/3*f^a*Ei(b*x^3*log(f))","A",0
103,1,35,0,0.704695," ","integrate(f^(b*x^3+a)/x^4,x, algorithm=""fricas"")","\frac{b f^{a} x^{3} {\rm Ei}\left(b x^{3} \log\left(f\right)\right) \log\left(f\right) - f^{b x^{3} + a}}{3 \, x^{3}}"," ",0,"1/3*(b*f^a*x^3*Ei(b*x^3*log(f))*log(f) - f^(b*x^3 + a))/x^3","A",0
104,1,48,0,0.841849," ","integrate(f^(b*x^3+a)/x^7,x, algorithm=""fricas"")","\frac{b^{2} f^{a} x^{6} {\rm Ei}\left(b x^{3} \log\left(f\right)\right) \log\left(f\right)^{2} - {\left(b x^{3} \log\left(f\right) + 1\right)} f^{b x^{3} + a}}{6 \, x^{6}}"," ",0,"1/6*(b^2*f^a*x^6*Ei(b*x^3*log(f))*log(f)^2 - (b*x^3*log(f) + 1)*f^(b*x^3 + a))/x^6","A",0
105,1,59,0,0.876546," ","integrate(f^(b*x^3+a)/x^10,x, algorithm=""fricas"")","\frac{b^{3} f^{a} x^{9} {\rm Ei}\left(b x^{3} \log\left(f\right)\right) \log\left(f\right)^{3} - {\left(b^{2} x^{6} \log\left(f\right)^{2} + b x^{3} \log\left(f\right) + 2\right)} f^{b x^{3} + a}}{18 \, x^{9}}"," ",0,"1/18*(b^3*f^a*x^9*Ei(b*x^3*log(f))*log(f)^3 - (b^2*x^6*log(f)^2 + b*x^3*log(f) + 2)*f^(b*x^3 + a))/x^9","A",0
106,1,71,0,0.903871," ","integrate(f^(b*x^3+a)/x^13,x, algorithm=""fricas"")","\frac{b^{4} f^{a} x^{12} {\rm Ei}\left(b x^{3} \log\left(f\right)\right) \log\left(f\right)^{4} - {\left(b^{3} x^{9} \log\left(f\right)^{3} + b^{2} x^{6} \log\left(f\right)^{2} + 2 \, b x^{3} \log\left(f\right) + 6\right)} f^{b x^{3} + a}}{72 \, x^{12}}"," ",0,"1/72*(b^4*f^a*x^12*Ei(b*x^3*log(f))*log(f)^4 - (b^3*x^9*log(f)^3 + b^2*x^6*log(f)^2 + 2*b*x^3*log(f) + 6)*f^(b*x^3 + a))/x^12","B",0
107,1,83,0,0.833945," ","integrate(f^(b*x^3+a)/x^16,x, algorithm=""fricas"")","\frac{b^{5} f^{a} x^{15} {\rm Ei}\left(b x^{3} \log\left(f\right)\right) \log\left(f\right)^{5} - {\left(b^{4} x^{12} \log\left(f\right)^{4} + b^{3} x^{9} \log\left(f\right)^{3} + 2 \, b^{2} x^{6} \log\left(f\right)^{2} + 6 \, b x^{3} \log\left(f\right) + 24\right)} f^{b x^{3} + a}}{360 \, x^{15}}"," ",0,"1/360*(b^5*f^a*x^15*Ei(b*x^3*log(f))*log(f)^5 - (b^4*x^12*log(f)^4 + b^3*x^9*log(f)^3 + 2*b^2*x^6*log(f)^2 + 6*b*x^3*log(f) + 24)*f^(b*x^3 + a))/x^15","B",0
108,1,49,0,0.917882," ","integrate(f^(b*x^3+a)*x^4,x, algorithm=""fricas"")","\frac{3 \, b f^{b x^{3} + a} x^{2} \log\left(f\right) - 2 \, \left(-b \log\left(f\right)\right)^{\frac{1}{3}} f^{a} \Gamma\left(\frac{2}{3}, -b x^{3} \log\left(f\right)\right)}{9 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/9*(3*b*f^(b*x^3 + a)*x^2*log(f) - 2*(-b*log(f))^(1/3)*f^a*gamma(2/3, -b*x^3*log(f)))/(b^2*log(f)^2)","A",0
109,1,47,0,0.630387," ","integrate(f^(b*x^3+a)*x^3,x, algorithm=""fricas"")","\frac{3 \, b f^{b x^{3} + a} x \log\left(f\right) - \left(-b \log\left(f\right)\right)^{\frac{2}{3}} f^{a} \Gamma\left(\frac{1}{3}, -b x^{3} \log\left(f\right)\right)}{9 \, b^{2} \log\left(f\right)^{2}}"," ",0,"1/9*(3*b*f^(b*x^3 + a)*x*log(f) - (-b*log(f))^(2/3)*f^a*gamma(1/3, -b*x^3*log(f)))/(b^2*log(f)^2)","A",0
110,1,29,0,0.761307," ","integrate(f^(b*x^3+a)*x,x, algorithm=""fricas"")","\frac{\left(-b \log\left(f\right)\right)^{\frac{1}{3}} f^{a} \Gamma\left(\frac{2}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, b \log\left(f\right)}"," ",0,"1/3*(-b*log(f))^(1/3)*f^a*gamma(2/3, -b*x^3*log(f))/(b*log(f))","A",0
111,1,29,0,0.881359," ","integrate(f^(b*x^3+a),x, algorithm=""fricas"")","\frac{\left(-b \log\left(f\right)\right)^{\frac{2}{3}} f^{a} \Gamma\left(\frac{1}{3}, -b x^{3} \log\left(f\right)\right)}{3 \, b \log\left(f\right)}"," ",0,"1/3*(-b*log(f))^(2/3)*f^a*gamma(1/3, -b*x^3*log(f))/(b*log(f))","A",0
112,1,38,0,0.771916," ","integrate(f^(b*x^3+a)/x^2,x, algorithm=""fricas"")","\frac{\left(-b \log\left(f\right)\right)^{\frac{1}{3}} f^{a} x \Gamma\left(\frac{2}{3}, -b x^{3} \log\left(f\right)\right) - f^{b x^{3} + a}}{x}"," ",0,"((-b*log(f))^(1/3)*f^a*x*gamma(2/3, -b*x^3*log(f)) - f^(b*x^3 + a))/x","A",0
113,1,41,0,0.955552," ","integrate(f^(b*x^3+a)/x^3,x, algorithm=""fricas"")","\frac{\left(-b \log\left(f\right)\right)^{\frac{2}{3}} f^{a} x^{2} \Gamma\left(\frac{1}{3}, -b x^{3} \log\left(f\right)\right) - f^{b x^{3} + a}}{2 \, x^{2}}"," ",0,"1/2*((-b*log(f))^(2/3)*f^a*x^2*gamma(1/3, -b*x^3*log(f)) - f^(b*x^3 + a))/x^2","A",0
114,1,8,0,0.933604," ","integrate(exp(4*x^3)*x^2,x, algorithm=""fricas"")","\frac{1}{12} \, e^{\left(4 \, x^{3}\right)}"," ",0,"1/12*e^(4*x^3)","A",0
115,0,0,0,0.652691," ","integrate(f^(a+b/x)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{\frac{a x + b}{x}} x^{m}, x\right)"," ",0,"integral(f^((a*x + b)/x)*x^m, x)","F",0
116,1,80,0,0.928221," ","integrate(f^(a+b/x)*x^4,x, algorithm=""fricas"")","-\frac{1}{120} \, b^{5} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{5} + \frac{1}{120} \, {\left(b^{4} x \log\left(f\right)^{4} + b^{3} x^{2} \log\left(f\right)^{3} + 2 \, b^{2} x^{3} \log\left(f\right)^{2} + 6 \, b x^{4} \log\left(f\right) + 24 \, x^{5}\right)} f^{\frac{a x + b}{x}}"," ",0,"-1/120*b^5*f^a*Ei(b*log(f)/x)*log(f)^5 + 1/120*(b^4*x*log(f)^4 + b^3*x^2*log(f)^3 + 2*b^2*x^3*log(f)^2 + 6*b*x^4*log(f) + 24*x^5)*f^((a*x + b)/x)","B",0
117,1,68,0,0.944230," ","integrate(f^(a+b/x)*x^3,x, algorithm=""fricas"")","-\frac{1}{24} \, b^{4} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{4} + \frac{1}{24} \, {\left(b^{3} x \log\left(f\right)^{3} + b^{2} x^{2} \log\left(f\right)^{2} + 2 \, b x^{3} \log\left(f\right) + 6 \, x^{4}\right)} f^{\frac{a x + b}{x}}"," ",0,"-1/24*b^4*f^a*Ei(b*log(f)/x)*log(f)^4 + 1/24*(b^3*x*log(f)^3 + b^2*x^2*log(f)^2 + 2*b*x^3*log(f) + 6*x^4)*f^((a*x + b)/x)","B",0
118,1,56,0,0.838891," ","integrate(f^(a+b/x)*x^2,x, algorithm=""fricas"")","-\frac{1}{6} \, b^{3} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{3} + \frac{1}{6} \, {\left(b^{2} x \log\left(f\right)^{2} + b x^{2} \log\left(f\right) + 2 \, x^{3}\right)} f^{\frac{a x + b}{x}}"," ",0,"-1/6*b^3*f^a*Ei(b*log(f)/x)*log(f)^3 + 1/6*(b^2*x*log(f)^2 + b*x^2*log(f) + 2*x^3)*f^((a*x + b)/x)","A",0
119,1,43,0,0.928223," ","integrate(f^(a+b/x)*x,x, algorithm=""fricas"")","-\frac{1}{2} \, b^{2} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x}\right) \log\left(f\right)^{2} + \frac{1}{2} \, {\left(b x \log\left(f\right) + x^{2}\right)} f^{\frac{a x + b}{x}}"," ",0,"-1/2*b^2*f^a*Ei(b*log(f)/x)*log(f)^2 + 1/2*(b*x*log(f) + x^2)*f^((a*x + b)/x)","A",0
120,1,30,0,0.908010," ","integrate(f^(a+b/x),x, algorithm=""fricas"")","-b f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x}\right) \log\left(f\right) + f^{\frac{a x + b}{x}} x"," ",0,"-b*f^a*Ei(b*log(f)/x)*log(f) + f^((a*x + b)/x)*x","A",0
121,1,13,0,0.864015," ","integrate(f^(a+b/x)/x,x, algorithm=""fricas"")","-f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x}\right)"," ",0,"-f^a*Ei(b*log(f)/x)","A",0
122,1,20,0,0.883046," ","integrate(f^(a+b/x)/x^2,x, algorithm=""fricas"")","-\frac{f^{\frac{a x + b}{x}}}{b \log\left(f\right)}"," ",0,"-f^((a*x + b)/x)/(b*log(f))","A",0
123,1,31,0,0.836648," ","integrate(f^(a+b/x)/x^3,x, algorithm=""fricas"")","-\frac{{\left(b \log\left(f\right) - x\right)} f^{\frac{a x + b}{x}}}{b^{2} x \log\left(f\right)^{2}}"," ",0,"-(b*log(f) - x)*f^((a*x + b)/x)/(b^2*x*log(f)^2)","A",0
124,1,43,0,0.844407," ","integrate(f^(a+b/x)/x^4,x, algorithm=""fricas"")","-\frac{{\left(b^{2} \log\left(f\right)^{2} - 2 \, b x \log\left(f\right) + 2 \, x^{2}\right)} f^{\frac{a x + b}{x}}}{b^{3} x^{2} \log\left(f\right)^{3}}"," ",0,"-(b^2*log(f)^2 - 2*b*x*log(f) + 2*x^2)*f^((a*x + b)/x)/(b^3*x^2*log(f)^3)","A",0
125,1,55,0,0.875158," ","integrate(f^(a+b/x)/x^5,x, algorithm=""fricas"")","-\frac{{\left(b^{3} \log\left(f\right)^{3} - 3 \, b^{2} x \log\left(f\right)^{2} + 6 \, b x^{2} \log\left(f\right) - 6 \, x^{3}\right)} f^{\frac{a x + b}{x}}}{b^{4} x^{3} \log\left(f\right)^{4}}"," ",0,"-(b^3*log(f)^3 - 3*b^2*x*log(f)^2 + 6*b*x^2*log(f) - 6*x^3)*f^((a*x + b)/x)/(b^4*x^3*log(f)^4)","A",0
126,1,67,0,0.692699," ","integrate(f^(a+b/x)/x^6,x, algorithm=""fricas"")","-\frac{{\left(b^{4} \log\left(f\right)^{4} - 4 \, b^{3} x \log\left(f\right)^{3} + 12 \, b^{2} x^{2} \log\left(f\right)^{2} - 24 \, b x^{3} \log\left(f\right) + 24 \, x^{4}\right)} f^{\frac{a x + b}{x}}}{b^{5} x^{4} \log\left(f\right)^{5}}"," ",0,"-(b^4*log(f)^4 - 4*b^3*x*log(f)^3 + 12*b^2*x^2*log(f)^2 - 24*b*x^3*log(f) + 24*x^4)*f^((a*x + b)/x)/(b^5*x^4*log(f)^5)","A",0
127,1,79,0,0.965034," ","integrate(f^(a+b/x)/x^7,x, algorithm=""fricas"")","-\frac{{\left(b^{5} \log\left(f\right)^{5} - 5 \, b^{4} x \log\left(f\right)^{4} + 20 \, b^{3} x^{2} \log\left(f\right)^{3} - 60 \, b^{2} x^{3} \log\left(f\right)^{2} + 120 \, b x^{4} \log\left(f\right) - 120 \, x^{5}\right)} f^{\frac{a x + b}{x}}}{b^{6} x^{5} \log\left(f\right)^{6}}"," ",0,"-(b^5*log(f)^5 - 5*b^4*x*log(f)^4 + 20*b^3*x^2*log(f)^3 - 60*b^2*x^3*log(f)^2 + 120*b*x^4*log(f) - 120*x^5)*f^((a*x + b)/x)/(b^6*x^5*log(f)^6)","A",0
128,0,0,0,0.872838," ","integrate(f^(a+b/x^2)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{\frac{a x^{2} + b}{x^{2}}} x^{m}, x\right)"," ",0,"integral(f^((a*x^2 + b)/x^2)*x^m, x)","F",0
129,1,84,0,1.021004," ","integrate(f^(a+b/x^2)*x^9,x, algorithm=""fricas"")","-\frac{1}{240} \, b^{5} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{5} + \frac{1}{240} \, {\left(24 \, x^{10} + 6 \, b x^{8} \log\left(f\right) + 2 \, b^{2} x^{6} \log\left(f\right)^{2} + b^{3} x^{4} \log\left(f\right)^{3} + b^{4} x^{2} \log\left(f\right)^{4}\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"-1/240*b^5*f^a*Ei(b*log(f)/x^2)*log(f)^5 + 1/240*(24*x^10 + 6*b*x^8*log(f) + 2*b^2*x^6*log(f)^2 + b^3*x^4*log(f)^3 + b^4*x^2*log(f)^4)*f^((a*x^2 + b)/x^2)","B",0
130,1,72,0,0.898161," ","integrate(f^(a+b/x^2)*x^7,x, algorithm=""fricas"")","-\frac{1}{48} \, b^{4} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{4} + \frac{1}{48} \, {\left(6 \, x^{8} + 2 \, b x^{6} \log\left(f\right) + b^{2} x^{4} \log\left(f\right)^{2} + b^{3} x^{2} \log\left(f\right)^{3}\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"-1/48*b^4*f^a*Ei(b*log(f)/x^2)*log(f)^4 + 1/48*(6*x^8 + 2*b*x^6*log(f) + b^2*x^4*log(f)^2 + b^3*x^2*log(f)^3)*f^((a*x^2 + b)/x^2)","B",0
131,1,60,0,0.629092," ","integrate(f^(a+b/x^2)*x^5,x, algorithm=""fricas"")","-\frac{1}{12} \, b^{3} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{3} + \frac{1}{12} \, {\left(2 \, x^{6} + b x^{4} \log\left(f\right) + b^{2} x^{2} \log\left(f\right)^{2}\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"-1/12*b^3*f^a*Ei(b*log(f)/x^2)*log(f)^3 + 1/12*(2*x^6 + b*x^4*log(f) + b^2*x^2*log(f)^2)*f^((a*x^2 + b)/x^2)","A",0
132,1,47,0,0.815461," ","integrate(f^(a+b/x^2)*x^3,x, algorithm=""fricas"")","-\frac{1}{4} \, b^{2} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right)^{2} + \frac{1}{4} \, {\left(x^{4} + b x^{2} \log\left(f\right)\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"-1/4*b^2*f^a*Ei(b*log(f)/x^2)*log(f)^2 + 1/4*(x^4 + b*x^2*log(f))*f^((a*x^2 + b)/x^2)","A",0
133,1,35,0,0.760378," ","integrate(f^(a+b/x^2)*x,x, algorithm=""fricas"")","-\frac{1}{2} \, b f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{2}}\right) \log\left(f\right) + \frac{1}{2} \, f^{\frac{a x^{2} + b}{x^{2}}} x^{2}"," ",0,"-1/2*b*f^a*Ei(b*log(f)/x^2)*log(f) + 1/2*f^((a*x^2 + b)/x^2)*x^2","A",0
134,1,13,0,0.830761," ","integrate(f^(a+b/x^2)/x,x, algorithm=""fricas"")","-\frac{1}{2} \, f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{2}}\right)"," ",0,"-1/2*f^a*Ei(b*log(f)/x^2)","A",0
135,1,22,0,0.932966," ","integrate(f^(a+b/x^2)/x^3,x, algorithm=""fricas"")","-\frac{f^{\frac{a x^{2} + b}{x^{2}}}}{2 \, b \log\left(f\right)}"," ",0,"-1/2*f^((a*x^2 + b)/x^2)/(b*log(f))","A",0
136,1,34,0,0.805187," ","integrate(f^(a+b/x^2)/x^5,x, algorithm=""fricas"")","\frac{{\left(x^{2} - b \log\left(f\right)\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{2 \, b^{2} x^{2} \log\left(f\right)^{2}}"," ",0,"1/2*(x^2 - b*log(f))*f^((a*x^2 + b)/x^2)/(b^2*x^2*log(f)^2)","A",0
137,1,47,0,0.951415," ","integrate(f^(a+b/x^2)/x^7,x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{4} - 2 \, b x^{2} \log\left(f\right) + b^{2} \log\left(f\right)^{2}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{2 \, b^{3} x^{4} \log\left(f\right)^{3}}"," ",0,"-1/2*(2*x^4 - 2*b*x^2*log(f) + b^2*log(f)^2)*f^((a*x^2 + b)/x^2)/(b^3*x^4*log(f)^3)","A",0
138,1,60,0,0.879812," ","integrate(f^(a+b/x^2)/x^9,x, algorithm=""fricas"")","\frac{{\left(6 \, x^{6} - 6 \, b x^{4} \log\left(f\right) + 3 \, b^{2} x^{2} \log\left(f\right)^{2} - b^{3} \log\left(f\right)^{3}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{2 \, b^{4} x^{6} \log\left(f\right)^{4}}"," ",0,"1/2*(6*x^6 - 6*b*x^4*log(f) + 3*b^2*x^2*log(f)^2 - b^3*log(f)^3)*f^((a*x^2 + b)/x^2)/(b^4*x^6*log(f)^4)","A",0
139,1,71,0,0.793098," ","integrate(f^(a+b/x^2)/x^11,x, algorithm=""fricas"")","-\frac{{\left(24 \, x^{8} - 24 \, b x^{6} \log\left(f\right) + 12 \, b^{2} x^{4} \log\left(f\right)^{2} - 4 \, b^{3} x^{2} \log\left(f\right)^{3} + b^{4} \log\left(f\right)^{4}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{2 \, b^{5} x^{8} \log\left(f\right)^{5}}"," ",0,"-1/2*(24*x^8 - 24*b*x^6*log(f) + 12*b^2*x^4*log(f)^2 - 4*b^3*x^2*log(f)^3 + b^4*log(f)^4)*f^((a*x^2 + b)/x^2)/(b^5*x^8*log(f)^5)","A",0
140,1,84,0,0.598425," ","integrate(f^(a+b/x^2)/x^13,x, algorithm=""fricas"")","\frac{{\left(120 \, x^{10} - 120 \, b x^{8} \log\left(f\right) + 60 \, b^{2} x^{6} \log\left(f\right)^{2} - 20 \, b^{3} x^{4} \log\left(f\right)^{3} + 5 \, b^{4} x^{2} \log\left(f\right)^{4} - b^{5} \log\left(f\right)^{5}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{2 \, b^{6} x^{10} \log\left(f\right)^{6}}"," ",0,"1/2*(120*x^10 - 120*b*x^8*log(f) + 60*b^2*x^6*log(f)^2 - 20*b^3*x^4*log(f)^3 + 5*b^4*x^2*log(f)^4 - b^5*log(f)^5)*f^((a*x^2 + b)/x^2)/(b^6*x^10*log(f)^6)","A",0
141,1,110,0,1.017286," ","integrate(f^(a+b/x^2)*x^10,x, algorithm=""fricas"")","\frac{32}{10395} \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{5} f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) \log\left(f\right)^{5} + \frac{1}{10395} \, {\left(945 \, x^{11} + 210 \, b x^{9} \log\left(f\right) + 60 \, b^{2} x^{7} \log\left(f\right)^{2} + 24 \, b^{3} x^{5} \log\left(f\right)^{3} + 16 \, b^{4} x^{3} \log\left(f\right)^{4} + 32 \, b^{5} x \log\left(f\right)^{5}\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"32/10395*sqrt(pi)*sqrt(-b*log(f))*b^5*f^a*erf(sqrt(-b*log(f))/x)*log(f)^5 + 1/10395*(945*x^11 + 210*b*x^9*log(f) + 60*b^2*x^7*log(f)^2 + 24*b^3*x^5*log(f)^3 + 16*b^4*x^3*log(f)^4 + 32*b^5*x*log(f)^5)*f^((a*x^2 + b)/x^2)","A",0
142,1,98,0,0.626998," ","integrate(f^(a+b/x^2)*x^8,x, algorithm=""fricas"")","\frac{16}{945} \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{4} f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) \log\left(f\right)^{4} + \frac{1}{945} \, {\left(105 \, x^{9} + 30 \, b x^{7} \log\left(f\right) + 12 \, b^{2} x^{5} \log\left(f\right)^{2} + 8 \, b^{3} x^{3} \log\left(f\right)^{3} + 16 \, b^{4} x \log\left(f\right)^{4}\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"16/945*sqrt(pi)*sqrt(-b*log(f))*b^4*f^a*erf(sqrt(-b*log(f))/x)*log(f)^4 + 1/945*(105*x^9 + 30*b*x^7*log(f) + 12*b^2*x^5*log(f)^2 + 8*b^3*x^3*log(f)^3 + 16*b^4*x*log(f)^4)*f^((a*x^2 + b)/x^2)","A",0
143,1,86,0,0.999913," ","integrate(f^(a+b/x^2)*x^6,x, algorithm=""fricas"")","\frac{8}{105} \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{3} f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) \log\left(f\right)^{3} + \frac{1}{105} \, {\left(15 \, x^{7} + 6 \, b x^{5} \log\left(f\right) + 4 \, b^{2} x^{3} \log\left(f\right)^{2} + 8 \, b^{3} x \log\left(f\right)^{3}\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"8/105*sqrt(pi)*sqrt(-b*log(f))*b^3*f^a*erf(sqrt(-b*log(f))/x)*log(f)^3 + 1/105*(15*x^7 + 6*b*x^5*log(f) + 4*b^2*x^3*log(f)^2 + 8*b^3*x*log(f)^3)*f^((a*x^2 + b)/x^2)","A",0
144,1,74,0,0.612781," ","integrate(f^(a+b/x^2)*x^4,x, algorithm=""fricas"")","\frac{4}{15} \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b^{2} f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) \log\left(f\right)^{2} + \frac{1}{15} \, {\left(3 \, x^{5} + 2 \, b x^{3} \log\left(f\right) + 4 \, b^{2} x \log\left(f\right)^{2}\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"4/15*sqrt(pi)*sqrt(-b*log(f))*b^2*f^a*erf(sqrt(-b*log(f))/x)*log(f)^2 + 1/15*(3*x^5 + 2*b*x^3*log(f) + 4*b^2*x*log(f)^2)*f^((a*x^2 + b)/x^2)","A",0
145,1,56,0,0.992106," ","integrate(f^(a+b/x^2)*x^2,x, algorithm=""fricas"")","\frac{2}{3} \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} b f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) \log\left(f\right) + \frac{1}{3} \, {\left(x^{3} + 2 \, b x \log\left(f\right)\right)} f^{\frac{a x^{2} + b}{x^{2}}}"," ",0,"2/3*sqrt(pi)*sqrt(-b*log(f))*b*f^a*erf(sqrt(-b*log(f))/x)*log(f) + 1/3*(x^3 + 2*b*x*log(f))*f^((a*x^2 + b)/x^2)","A",0
146,1,42,0,1.038465," ","integrate(f^(a+b/x^2),x, algorithm=""fricas"")","\sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) + f^{\frac{a x^{2} + b}{x^{2}}} x"," ",0,"sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))/x) + f^((a*x^2 + b)/x^2)*x","A",0
147,1,34,0,0.957080," ","integrate(f^(a+b/x^2)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right)}{2 \, b \log\left(f\right)}"," ",0,"1/2*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))/x)/(b*log(f))","A",0
148,1,58,0,0.890899," ","integrate(f^(a+b/x^2)/x^4,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} x \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) + 2 \, b f^{\frac{a x^{2} + b}{x^{2}}} \log\left(f\right)}{4 \, b^{2} x \log\left(f\right)^{2}}"," ",0,"-1/4*(sqrt(pi)*sqrt(-b*log(f))*f^a*x*erf(sqrt(-b*log(f))/x) + 2*b*f^((a*x^2 + b)/x^2)*log(f))/(b^2*x*log(f)^2)","A",0
149,1,76,0,0.846942," ","integrate(f^(a+b/x^2)/x^6,x, algorithm=""fricas"")","\frac{3 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} x^{3} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) + 2 \, {\left(3 \, b x^{2} \log\left(f\right) - 2 \, b^{2} \log\left(f\right)^{2}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{8 \, b^{3} x^{3} \log\left(f\right)^{3}}"," ",0,"1/8*(3*sqrt(pi)*sqrt(-b*log(f))*f^a*x^3*erf(sqrt(-b*log(f))/x) + 2*(3*b*x^2*log(f) - 2*b^2*log(f)^2)*f^((a*x^2 + b)/x^2))/(b^3*x^3*log(f)^3)","A",0
150,1,88,0,0.819481," ","integrate(f^(a+b/x^2)/x^8,x, algorithm=""fricas"")","-\frac{15 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} x^{5} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) + 2 \, {\left(15 \, b x^{4} \log\left(f\right) - 10 \, b^{2} x^{2} \log\left(f\right)^{2} + 4 \, b^{3} \log\left(f\right)^{3}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{16 \, b^{4} x^{5} \log\left(f\right)^{4}}"," ",0,"-1/16*(15*sqrt(pi)*sqrt(-b*log(f))*f^a*x^5*erf(sqrt(-b*log(f))/x) + 2*(15*b*x^4*log(f) - 10*b^2*x^2*log(f)^2 + 4*b^3*log(f)^3)*f^((a*x^2 + b)/x^2))/(b^4*x^5*log(f)^4)","A",0
151,1,100,0,0.989899," ","integrate(f^(a+b/x^2)/x^10,x, algorithm=""fricas"")","\frac{105 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} x^{7} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) + 2 \, {\left(105 \, b x^{6} \log\left(f\right) - 70 \, b^{2} x^{4} \log\left(f\right)^{2} + 28 \, b^{3} x^{2} \log\left(f\right)^{3} - 8 \, b^{4} \log\left(f\right)^{4}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{32 \, b^{5} x^{7} \log\left(f\right)^{5}}"," ",0,"1/32*(105*sqrt(pi)*sqrt(-b*log(f))*f^a*x^7*erf(sqrt(-b*log(f))/x) + 2*(105*b*x^6*log(f) - 70*b^2*x^4*log(f)^2 + 28*b^3*x^2*log(f)^3 - 8*b^4*log(f)^4)*f^((a*x^2 + b)/x^2))/(b^5*x^7*log(f)^5)","A",0
152,1,112,0,0.940047," ","integrate(f^(a+b/x^2)/x^12,x, algorithm=""fricas"")","-\frac{945 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} x^{9} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) + 2 \, {\left(945 \, b x^{8} \log\left(f\right) - 630 \, b^{2} x^{6} \log\left(f\right)^{2} + 252 \, b^{3} x^{4} \log\left(f\right)^{3} - 72 \, b^{4} x^{2} \log\left(f\right)^{4} + 16 \, b^{5} \log\left(f\right)^{5}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{64 \, b^{6} x^{9} \log\left(f\right)^{6}}"," ",0,"-1/64*(945*sqrt(pi)*sqrt(-b*log(f))*f^a*x^9*erf(sqrt(-b*log(f))/x) + 2*(945*b*x^8*log(f) - 630*b^2*x^6*log(f)^2 + 252*b^3*x^4*log(f)^3 - 72*b^4*x^2*log(f)^4 + 16*b^5*log(f)^5)*f^((a*x^2 + b)/x^2))/(b^6*x^9*log(f)^6)","A",0
153,1,124,0,1.140528," ","integrate(f^(a+b/x^2)/x^14,x, algorithm=""fricas"")","\frac{10395 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} x^{11} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x}\right) + 2 \, {\left(10395 \, b x^{10} \log\left(f\right) - 6930 \, b^{2} x^{8} \log\left(f\right)^{2} + 2772 \, b^{3} x^{6} \log\left(f\right)^{3} - 792 \, b^{4} x^{4} \log\left(f\right)^{4} + 176 \, b^{5} x^{2} \log\left(f\right)^{5} - 32 \, b^{6} \log\left(f\right)^{6}\right)} f^{\frac{a x^{2} + b}{x^{2}}}}{128 \, b^{7} x^{11} \log\left(f\right)^{7}}"," ",0,"1/128*(10395*sqrt(pi)*sqrt(-b*log(f))*f^a*x^11*erf(sqrt(-b*log(f))/x) + 2*(10395*b*x^10*log(f) - 6930*b^2*x^8*log(f)^2 + 2772*b^3*x^6*log(f)^3 - 792*b^4*x^4*log(f)^4 + 176*b^5*x^2*log(f)^5 - 32*b^6*log(f)^6)*f^((a*x^2 + b)/x^2))/(b^7*x^11*log(f)^7)","A",0
154,0,0,0,0.697584," ","integrate(f^(a+b/x^3)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{\frac{a x^{3} + b}{x^{3}}} x^{m}, x\right)"," ",0,"integral(f^((a*x^3 + b)/x^3)*x^m, x)","F",0
155,1,84,0,0.780776," ","integrate(f^(a+b/x^3)*x^14,x, algorithm=""fricas"")","-\frac{1}{360} \, b^{5} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{5} + \frac{1}{360} \, {\left(24 \, x^{15} + 6 \, b x^{12} \log\left(f\right) + 2 \, b^{2} x^{9} \log\left(f\right)^{2} + b^{3} x^{6} \log\left(f\right)^{3} + b^{4} x^{3} \log\left(f\right)^{4}\right)} f^{\frac{a x^{3} + b}{x^{3}}}"," ",0,"-1/360*b^5*f^a*Ei(b*log(f)/x^3)*log(f)^5 + 1/360*(24*x^15 + 6*b*x^12*log(f) + 2*b^2*x^9*log(f)^2 + b^3*x^6*log(f)^3 + b^4*x^3*log(f)^4)*f^((a*x^3 + b)/x^3)","B",0
156,1,72,0,0.980834," ","integrate(f^(a+b/x^3)*x^11,x, algorithm=""fricas"")","-\frac{1}{72} \, b^{4} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{4} + \frac{1}{72} \, {\left(6 \, x^{12} + 2 \, b x^{9} \log\left(f\right) + b^{2} x^{6} \log\left(f\right)^{2} + b^{3} x^{3} \log\left(f\right)^{3}\right)} f^{\frac{a x^{3} + b}{x^{3}}}"," ",0,"-1/72*b^4*f^a*Ei(b*log(f)/x^3)*log(f)^4 + 1/72*(6*x^12 + 2*b*x^9*log(f) + b^2*x^6*log(f)^2 + b^3*x^3*log(f)^3)*f^((a*x^3 + b)/x^3)","B",0
157,1,60,0,0.962596," ","integrate(f^(a+b/x^3)*x^8,x, algorithm=""fricas"")","-\frac{1}{18} \, b^{3} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{3} + \frac{1}{18} \, {\left(2 \, x^{9} + b x^{6} \log\left(f\right) + b^{2} x^{3} \log\left(f\right)^{2}\right)} f^{\frac{a x^{3} + b}{x^{3}}}"," ",0,"-1/18*b^3*f^a*Ei(b*log(f)/x^3)*log(f)^3 + 1/18*(2*x^9 + b*x^6*log(f) + b^2*x^3*log(f)^2)*f^((a*x^3 + b)/x^3)","A",0
158,1,47,0,0.921664," ","integrate(f^(a+b/x^3)*x^5,x, algorithm=""fricas"")","-\frac{1}{6} \, b^{2} f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)^{2} + \frac{1}{6} \, {\left(x^{6} + b x^{3} \log\left(f\right)\right)} f^{\frac{a x^{3} + b}{x^{3}}}"," ",0,"-1/6*b^2*f^a*Ei(b*log(f)/x^3)*log(f)^2 + 1/6*(x^6 + b*x^3*log(f))*f^((a*x^3 + b)/x^3)","A",0
159,1,35,0,0.679720," ","integrate(f^(a+b/x^3)*x^2,x, algorithm=""fricas"")","\frac{1}{3} \, f^{\frac{a x^{3} + b}{x^{3}}} x^{3} - \frac{1}{3} \, b f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right)"," ",0,"1/3*f^((a*x^3 + b)/x^3)*x^3 - 1/3*b*f^a*Ei(b*log(f)/x^3)*log(f)","A",0
160,1,13,0,0.995528," ","integrate(f^(a+b/x^3)/x,x, algorithm=""fricas"")","-\frac{1}{3} \, f^{a} {\rm Ei}\left(\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"-1/3*f^a*Ei(b*log(f)/x^3)","A",0
161,1,22,0,0.939823," ","integrate(f^(a+b/x^3)/x^4,x, algorithm=""fricas"")","-\frac{f^{\frac{a x^{3} + b}{x^{3}}}}{3 \, b \log\left(f\right)}"," ",0,"-1/3*f^((a*x^3 + b)/x^3)/(b*log(f))","A",0
162,1,34,0,0.892287," ","integrate(f^(a+b/x^3)/x^7,x, algorithm=""fricas"")","\frac{{\left(x^{3} - b \log\left(f\right)\right)} f^{\frac{a x^{3} + b}{x^{3}}}}{3 \, b^{2} x^{3} \log\left(f\right)^{2}}"," ",0,"1/3*(x^3 - b*log(f))*f^((a*x^3 + b)/x^3)/(b^2*x^3*log(f)^2)","A",0
163,1,47,0,0.938571," ","integrate(f^(a+b/x^3)/x^10,x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{6} - 2 \, b x^{3} \log\left(f\right) + b^{2} \log\left(f\right)^{2}\right)} f^{\frac{a x^{3} + b}{x^{3}}}}{3 \, b^{3} x^{6} \log\left(f\right)^{3}}"," ",0,"-1/3*(2*x^6 - 2*b*x^3*log(f) + b^2*log(f)^2)*f^((a*x^3 + b)/x^3)/(b^3*x^6*log(f)^3)","A",0
164,1,60,0,0.894363," ","integrate(f^(a+b/x^3)/x^13,x, algorithm=""fricas"")","\frac{{\left(6 \, x^{9} - 6 \, b x^{6} \log\left(f\right) + 3 \, b^{2} x^{3} \log\left(f\right)^{2} - b^{3} \log\left(f\right)^{3}\right)} f^{\frac{a x^{3} + b}{x^{3}}}}{3 \, b^{4} x^{9} \log\left(f\right)^{4}}"," ",0,"1/3*(6*x^9 - 6*b*x^6*log(f) + 3*b^2*x^3*log(f)^2 - b^3*log(f)^3)*f^((a*x^3 + b)/x^3)/(b^4*x^9*log(f)^4)","A",0
165,1,71,0,0.777843," ","integrate(f^(a+b/x^3)/x^16,x, algorithm=""fricas"")","-\frac{{\left(24 \, x^{12} - 24 \, b x^{9} \log\left(f\right) + 12 \, b^{2} x^{6} \log\left(f\right)^{2} - 4 \, b^{3} x^{3} \log\left(f\right)^{3} + b^{4} \log\left(f\right)^{4}\right)} f^{\frac{a x^{3} + b}{x^{3}}}}{3 \, b^{5} x^{12} \log\left(f\right)^{5}}"," ",0,"-1/3*(24*x^12 - 24*b*x^9*log(f) + 12*b^2*x^6*log(f)^2 - 4*b^3*x^3*log(f)^3 + b^4*log(f)^4)*f^((a*x^3 + b)/x^3)/(b^5*x^12*log(f)^5)","A",0
166,1,84,0,1.022759," ","integrate(f^(a+b/x^3)/x^19,x, algorithm=""fricas"")","\frac{{\left(120 \, x^{15} - 120 \, b x^{12} \log\left(f\right) + 60 \, b^{2} x^{9} \log\left(f\right)^{2} - 20 \, b^{3} x^{6} \log\left(f\right)^{3} + 5 \, b^{4} x^{3} \log\left(f\right)^{4} - b^{5} \log\left(f\right)^{5}\right)} f^{\frac{a x^{3} + b}{x^{3}}}}{3 \, b^{6} x^{15} \log\left(f\right)^{6}}"," ",0,"1/3*(120*x^15 - 120*b*x^12*log(f) + 60*b^2*x^9*log(f)^2 - 20*b^3*x^6*log(f)^3 + 5*b^4*x^3*log(f)^4 - b^5*log(f)^5)*f^((a*x^3 + b)/x^3)/(b^6*x^15*log(f)^6)","A",0
167,1,55,0,0.834639," ","integrate(f^(a+b/x^3)*x^4,x, algorithm=""fricas"")","-\frac{3}{10} \, \left(-b \log\left(f\right)\right)^{\frac{2}{3}} b f^{a} \Gamma\left(\frac{1}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right) + \frac{1}{10} \, {\left(2 \, x^{5} + 3 \, b x^{2} \log\left(f\right)\right)} f^{\frac{a x^{3} + b}{x^{3}}}"," ",0,"-3/10*(-b*log(f))^(2/3)*b*f^a*gamma(1/3, -b*log(f)/x^3)*log(f) + 1/10*(2*x^5 + 3*b*x^2*log(f))*f^((a*x^3 + b)/x^3)","A",0
168,1,51,0,0.889513," ","integrate(f^(a+b/x^3)*x^3,x, algorithm=""fricas"")","-\frac{3}{4} \, \left(-b \log\left(f\right)\right)^{\frac{1}{3}} b f^{a} \Gamma\left(\frac{2}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right) \log\left(f\right) + \frac{1}{4} \, {\left(x^{4} + 3 \, b x \log\left(f\right)\right)} f^{\frac{a x^{3} + b}{x^{3}}}"," ",0,"-3/4*(-b*log(f))^(1/3)*b*f^a*gamma(2/3, -b*log(f)/x^3)*log(f) + 1/4*(x^4 + 3*b*x*log(f))*f^((a*x^3 + b)/x^3)","A",0
169,1,41,0,0.831952," ","integrate(f^(a+b/x^3)*x,x, algorithm=""fricas"")","\frac{1}{2} \, f^{\frac{a x^{3} + b}{x^{3}}} x^{2} - \frac{1}{2} \, \left(-b \log\left(f\right)\right)^{\frac{2}{3}} f^{a} \Gamma\left(\frac{1}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)"," ",0,"1/2*f^((a*x^3 + b)/x^3)*x^2 - 1/2*(-b*log(f))^(2/3)*f^a*gamma(1/3, -b*log(f)/x^3)","A",0
170,1,38,0,0.990884," ","integrate(f^(a+b/x^3),x, algorithm=""fricas"")","-\left(-b \log\left(f\right)\right)^{\frac{1}{3}} f^{a} \Gamma\left(\frac{2}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right) + f^{\frac{a x^{3} + b}{x^{3}}} x"," ",0,"-(-b*log(f))^(1/3)*f^a*gamma(2/3, -b*log(f)/x^3) + f^((a*x^3 + b)/x^3)*x","A",0
171,1,29,0,0.942003," ","integrate(f^(a+b/x^3)/x^2,x, algorithm=""fricas"")","-\frac{\left(-b \log\left(f\right)\right)^{\frac{2}{3}} f^{a} \Gamma\left(\frac{1}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, b \log\left(f\right)}"," ",0,"-1/3*(-b*log(f))^(2/3)*f^a*gamma(1/3, -b*log(f)/x^3)/(b*log(f))","A",0
172,1,29,0,0.929439," ","integrate(f^(a+b/x^3)/x^3,x, algorithm=""fricas"")","-\frac{\left(-b \log\left(f\right)\right)^{\frac{1}{3}} f^{a} \Gamma\left(\frac{2}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right)}{3 \, b \log\left(f\right)}"," ",0,"-1/3*(-b*log(f))^(1/3)*f^a*gamma(2/3, -b*log(f)/x^3)/(b*log(f))","A",0
173,1,53,0,0.909446," ","integrate(f^(a+b/x^3)/x^5,x, algorithm=""fricas"")","\frac{\left(-b \log\left(f\right)\right)^{\frac{2}{3}} f^{a} x \Gamma\left(\frac{1}{3}, -\frac{b \log\left(f\right)}{x^{3}}\right) - 3 \, b f^{\frac{a x^{3} + b}{x^{3}}} \log\left(f\right)}{9 \, b^{2} x \log\left(f\right)^{2}}"," ",0,"1/9*((-b*log(f))^(2/3)*f^a*x*gamma(1/3, -b*log(f)/x^3) - 3*b*f^((a*x^3 + b)/x^3)*log(f))/(b^2*x*log(f)^2)","A",0
174,0,0,0,1.057249," ","integrate(f^(a+b*x^n)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{b x^{n} + a} x^{m}, x\right)"," ",0,"integral(f^(b*x^n + a)*x^m, x)","F",0
175,0,0,0,0.902823," ","integrate(f^(a+b*x^n)*x^3,x, algorithm=""fricas"")","{\rm integral}\left(f^{b x^{n} + a} x^{3}, x\right)"," ",0,"integral(f^(b*x^n + a)*x^3, x)","F",0
176,0,0,0,0.848853," ","integrate(f^(a+b*x^n)*x^2,x, algorithm=""fricas"")","{\rm integral}\left(f^{b x^{n} + a} x^{2}, x\right)"," ",0,"integral(f^(b*x^n + a)*x^2, x)","F",0
177,0,0,0,0.998556," ","integrate(f^(a+b*x^n)*x,x, algorithm=""fricas"")","{\rm integral}\left(f^{b x^{n} + a} x, x\right)"," ",0,"integral(f^(b*x^n + a)*x, x)","F",0
178,0,0,0,0.932504," ","integrate(f^(a+b*x^n),x, algorithm=""fricas"")","{\rm integral}\left(f^{b x^{n} + a}, x\right)"," ",0,"integral(f^(b*x^n + a), x)","F",0
179,1,15,0,0.911403," ","integrate(f^(a+b*x^n)/x,x, algorithm=""fricas"")","\frac{f^{a} {\rm Ei}\left(b x^{n} \log\left(f\right)\right)}{n}"," ",0,"f^a*Ei(b*x^n*log(f))/n","A",0
180,0,0,0,1.072583," ","integrate(f^(a+b*x^n)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b x^{n} + a}}{x^{2}}, x\right)"," ",0,"integral(f^(b*x^n + a)/x^2, x)","F",0
181,0,0,0,1.195344," ","integrate(f^(a+b*x^n)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b x^{n} + a}}{x^{3}}, x\right)"," ",0,"integral(f^(b*x^n + a)/x^3, x)","F",0
182,0,0,0,1.131134," ","integrate(f^(a+b*x^n)/x^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b x^{n} + a}}{x^{4}}, x\right)"," ",0,"integral(f^(b*x^n + a)/x^4, x)","F",0
183,1,47,0,0.711118," ","integrate(f^(a+b*x^n)*x^(-1+3*n),x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2 \, n} \log\left(f\right)^{2} - 2 \, b x^{n} \log\left(f\right) + 2\right)} e^{\left(b x^{n} \log\left(f\right) + a \log\left(f\right)\right)}}{b^{3} n \log\left(f\right)^{3}}"," ",0,"(b^2*x^(2*n)*log(f)^2 - 2*b*x^n*log(f) + 2)*e^(b*x^n*log(f) + a*log(f))/(b^3*n*log(f)^3)","A",0
184,1,33,0,0.953755," ","integrate(f^(a+b*x^n)*x^(-1+2*n),x, algorithm=""fricas"")","\frac{{\left(b x^{n} \log\left(f\right) - 1\right)} e^{\left(b x^{n} \log\left(f\right) + a \log\left(f\right)\right)}}{b^{2} n \log\left(f\right)^{2}}"," ",0,"(b*x^n*log(f) - 1)*e^(b*x^n*log(f) + a*log(f))/(b^2*n*log(f)^2)","A",0
185,1,24,0,0.839060," ","integrate(f^(a+b*x^n)*x^(-1+n),x, algorithm=""fricas"")","\frac{e^{\left(b x^{n} \log\left(f\right) + a \log\left(f\right)\right)}}{b n \log\left(f\right)}"," ",0,"e^(b*x^n*log(f) + a*log(f))/(b*n*log(f))","A",0
186,1,15,0,0.572518," ","integrate(f^(a+b*x^n)/x,x, algorithm=""fricas"")","\frac{f^{a} {\rm Ei}\left(b x^{n} \log\left(f\right)\right)}{n}"," ",0,"f^a*Ei(b*x^n*log(f))/n","A",0
187,1,43,0,0.780134," ","integrate(f^(a+b*x^n)*x^(-1-n),x, algorithm=""fricas"")","\frac{b f^{a} x^{n} {\rm Ei}\left(b x^{n} \log\left(f\right)\right) \log\left(f\right) - e^{\left(b x^{n} \log\left(f\right) + a \log\left(f\right)\right)}}{n x^{n}}"," ",0,"(b*f^a*x^n*Ei(b*x^n*log(f))*log(f) - e^(b*x^n*log(f) + a*log(f)))/(n*x^n)","A",0
188,1,61,0,0.816415," ","integrate(f^(a+b*x^n)*x^(-1-2*n),x, algorithm=""fricas"")","\frac{b^{2} f^{a} x^{2 \, n} {\rm Ei}\left(b x^{n} \log\left(f\right)\right) \log\left(f\right)^{2} - {\left(b x^{n} \log\left(f\right) + 1\right)} e^{\left(b x^{n} \log\left(f\right) + a \log\left(f\right)\right)}}{2 \, n x^{2 \, n}}"," ",0,"1/2*(b^2*f^a*x^(2*n)*Ei(b*x^n*log(f))*log(f)^2 - (b*x^n*log(f) + 1)*e^(b*x^n*log(f) + a*log(f)))/(n*x^(2*n))","A",0
189,1,82,0,0.788364," ","integrate(f^(a+b*x^n)*x^(-1+5/2*n),x, algorithm=""fricas"")","-\frac{3 \, \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x^{\frac{1}{2} \, n}\right) - 2 \, {\left(2 \, b^{2} x^{\frac{3}{2} \, n} \log\left(f\right)^{2} - 3 \, b x^{\frac{1}{2} \, n} \log\left(f\right)\right)} e^{\left(b x^{n} \log\left(f\right) + a \log\left(f\right)\right)}}{4 \, b^{3} n \log\left(f\right)^{3}}"," ",0,"-1/4*(3*sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x^(1/2*n)) - 2*(2*b^2*x^(3/2*n)*log(f)^2 - 3*b*x^(1/2*n)*log(f))*e^(b*x^n*log(f) + a*log(f)))/(b^3*n*log(f)^3)","A",0
190,1,64,0,0.697625," ","integrate(f^(a+b*x^n)*x^(-1+3/2*n),x, algorithm=""fricas"")","\frac{2 \, b x^{\frac{1}{2} \, n} e^{\left(b x^{n} \log\left(f\right) + a \log\left(f\right)\right)} \log\left(f\right) + \sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x^{\frac{1}{2} \, n}\right)}{2 \, b^{2} n \log\left(f\right)^{2}}"," ",0,"1/2*(2*b*x^(1/2*n)*e^(b*x^n*log(f) + a*log(f))*log(f) + sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x^(1/2*n)))/(b^2*n*log(f)^2)","A",0
191,1,42,0,0.837218," ","integrate(f^(a+b*x^n)*x^(-1+1/2*n),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\sqrt{-b \log\left(f\right)} x x^{\frac{1}{2} \, n - 1}\right)}{b n \log\left(f\right)}"," ",0,"-sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))*x*x^(1/2*n - 1))/(b*n*log(f))","A",0
192,1,83,0,0.891933," ","integrate(f^(a+b*x^n)*x^(-1-1/2*n),x, algorithm=""fricas"")","-\frac{2 \, {\left(\sqrt{\pi} \sqrt{-b \log\left(f\right)} f^{a} \operatorname{erf}\left(\frac{\sqrt{-b \log\left(f\right)}}{x x^{-\frac{1}{2} \, n - 1}}\right) + x x^{-\frac{1}{2} \, n - 1} e^{\left(\frac{a x^{2} x^{-n - 2} \log\left(f\right) + b \log\left(f\right)}{x^{2} x^{-n - 2}}\right)}\right)}}{n}"," ",0,"-2*(sqrt(pi)*sqrt(-b*log(f))*f^a*erf(sqrt(-b*log(f))/(x*x^(-1/2*n - 1))) + x*x^(-1/2*n - 1)*e^((a*x^2*x^(-n - 2)*log(f) + b*log(f))/(x^2*x^(-n - 2))))/n","A",0
193,0,0,0,0.824654," ","integrate(f^(a+b*x^n)*x^(-1-3/2*n),x, algorithm=""fricas"")","{\rm integral}\left(f^{b x^{n} + a} x^{-\frac{3}{2} \, n - 1}, x\right)"," ",0,"integral(f^(b*x^n + a)*x^(-3/2*n - 1), x)","F",0
194,-2,0,0,0.000000," ","integrate(exp(-.1*x)*x,x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >> An error occurred when FriCAS evaluated 'integrate(sage0,sage1)':   There are 12 exposed and 10 unexposed library operations named       integrate having 2 argument(s) but none was determined to be       applicable. Use HyperDoc Browse, or issue                             )display op integrate      to learn more about the available operations. Perhaps       package-calling the operation or using coercions on the arguments       will allow you to apply the operation.    Cannot find a definition or applicable library operation named       integrate with argument type(s)                                Expression(Float)                                  Variable(x)            Perhaps you should use @ to indicate the required return type, or       $ to specify which version of the function you need.","F(-2)",0
195,1,113,0,0.574603," ","integrate(f^(c*(b*x+a)^2)*x^3,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(2 \, a^{3} c \log\left(f\right) - 3 \, a\right)} \sqrt{-b^{2} c \log\left(f\right)} \operatorname{erf}\left(\frac{\sqrt{-b^{2} c \log\left(f\right)} {\left(b x + a\right)}}{b}\right) + 2 \, {\left({\left(b^{3} c x^{2} - a b^{2} c x + a^{2} b c\right)} \log\left(f\right) - b\right)} f^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c}}{4 \, b^{5} c^{2} \log\left(f\right)^{2}}"," ",0,"1/4*(sqrt(pi)*(2*a^3*c*log(f) - 3*a)*sqrt(-b^2*c*log(f))*erf(sqrt(-b^2*c*log(f))*(b*x + a)/b) + 2*((b^3*c*x^2 - a*b^2*c*x + a^2*b*c)*log(f) - b)*f^(b^2*c*x^2 + 2*a*b*c*x + a^2*c))/(b^5*c^2*log(f)^2)","A",0
196,1,95,0,0.754282," ","integrate(f^(c*(b*x+a)^2)*x^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(2 \, a^{2} c \log\left(f\right) - 1\right)} \sqrt{-b^{2} c \log\left(f\right)} \operatorname{erf}\left(\frac{\sqrt{-b^{2} c \log\left(f\right)} {\left(b x + a\right)}}{b}\right) - 2 \, {\left(b^{2} c x - a b c\right)} f^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c} \log\left(f\right)}{4 \, b^{4} c^{2} \log\left(f\right)^{2}}"," ",0,"-1/4*(sqrt(pi)*(2*a^2*c*log(f) - 1)*sqrt(-b^2*c*log(f))*erf(sqrt(-b^2*c*log(f))*(b*x + a)/b) - 2*(b^2*c*x - a*b*c)*f^(b^2*c*x^2 + 2*a*b*c*x + a^2*c)*log(f))/(b^4*c^2*log(f)^2)","A",0
197,1,72,0,0.798880," ","integrate(f^(c*(b*x+a)^2)*x,x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{-b^{2} c \log\left(f\right)} a \operatorname{erf}\left(\frac{\sqrt{-b^{2} c \log\left(f\right)} {\left(b x + a\right)}}{b}\right) + b f^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c}}{2 \, b^{3} c \log\left(f\right)}"," ",0,"1/2*(sqrt(pi)*sqrt(-b^2*c*log(f))*a*erf(sqrt(-b^2*c*log(f))*(b*x + a)/b) + b*f^(b^2*c*x^2 + 2*a*b*c*x + a^2*c))/(b^3*c*log(f))","A",0
198,1,45,0,0.818286," ","integrate(f^(c*(b*x+a)^2),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} c \log\left(f\right)} \operatorname{erf}\left(\frac{\sqrt{-b^{2} c \log\left(f\right)} {\left(b x + a\right)}}{b}\right)}{2 \, b^{2} c \log\left(f\right)}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*c*log(f))*erf(sqrt(-b^2*c*log(f))*(b*x + a)/b)/(b^2*c*log(f))","A",0
199,0,0,0,0.641522," ","integrate(f^(c*(b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c}}{x}, x\right)"," ",0,"integral(f^(b^2*c*x^2 + 2*a*b*c*x + a^2*c)/x, x)","F",0
200,0,0,0,0.866169," ","integrate(f^(c*(b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c}}{x^{2}}, x\right)"," ",0,"integral(f^(b^2*c*x^2 + 2*a*b*c*x + a^2*c)/x^2, x)","F",0
201,0,0,0,0.627478," ","integrate(f^(c*(b*x+a)^2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c}}{x^{3}}, x\right)"," ",0,"integral(f^(b^2*c*x^2 + 2*a*b*c*x + a^2*c)/x^3, x)","F",0
202,1,155,0,0.863742," ","integrate(f^(c*(b*x+a)^3)*x^2,x, algorithm=""fricas"")","\frac{\left(-b^{3} c \log\left(f\right)\right)^{\frac{2}{3}} a^{2} \Gamma\left(\frac{1}{3}, -{\left(b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c\right)} \log\left(f\right)\right) - 2 \, \left(-b^{3} c \log\left(f\right)\right)^{\frac{1}{3}} a b \Gamma\left(\frac{2}{3}, -{\left(b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c\right)} \log\left(f\right)\right) + b^{2} f^{b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c}}{3 \, b^{5} c \log\left(f\right)}"," ",0,"1/3*((-b^3*c*log(f))^(2/3)*a^2*gamma(1/3, -(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)*log(f)) - 2*(-b^3*c*log(f))^(1/3)*a*b*gamma(2/3, -(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)*log(f)) + b^2*f^(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c))/(b^5*c*log(f))","A",0
203,1,114,0,0.756880," ","integrate(f^(c*(b*x+a)^3)*x,x, algorithm=""fricas"")","-\frac{\left(-b^{3} c \log\left(f\right)\right)^{\frac{2}{3}} a \Gamma\left(\frac{1}{3}, -{\left(b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c\right)} \log\left(f\right)\right) - \left(-b^{3} c \log\left(f\right)\right)^{\frac{1}{3}} b \Gamma\left(\frac{2}{3}, -{\left(b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c\right)} \log\left(f\right)\right)}{3 \, b^{4} c \log\left(f\right)}"," ",0,"-1/3*((-b^3*c*log(f))^(2/3)*a*gamma(1/3, -(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)*log(f)) - (-b^3*c*log(f))^(1/3)*b*gamma(2/3, -(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)*log(f)))/(b^4*c*log(f))","A",0
204,1,60,0,0.636692," ","integrate(f^(c*(b*x+a)^3),x, algorithm=""fricas"")","\frac{\left(-b^{3} c \log\left(f\right)\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -{\left(b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c\right)} \log\left(f\right)\right)}{3 \, b^{3} c \log\left(f\right)}"," ",0,"1/3*(-b^3*c*log(f))^(2/3)*gamma(1/3, -(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)*log(f))/(b^3*c*log(f))","A",0
205,0,0,0,0.858975," ","integrate(f^(c*(b*x+a)^3)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c}}{x}, x\right)"," ",0,"integral(f^(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)/x, x)","F",0
206,0,0,0,0.699893," ","integrate(f^(c*(b*x+a)^3)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c}}{x^{2}}, x\right)"," ",0,"integral(f^(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)/x^2, x)","F",0
207,0,0,0,0.740316," ","integrate(f^(c*(b*x+a)^3)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c}}{x^{3}}, x\right)"," ",0,"integral(f^(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)/x^3, x)","F",0
208,1,158,0,0.637082," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^4,x, algorithm=""fricas"")","-\frac{2 \, {\left(6 \, a^{3} + 1\right)} \left(-b^{3}\right)^{\frac{1}{3}} b \Gamma\left(\frac{2}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) - {\left(3 \, a^{4} + 4 \, a\right)} \left(-b^{3}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) - 3 \, {\left(b^{4} x^{2} - 2 \, a b^{3} x + 3 \, a^{2} b^{2}\right)} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}}{9 \, b^{7}}"," ",0,"-1/9*(2*(6*a^3 + 1)*(-b^3)^(1/3)*b*gamma(2/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) - (3*a^4 + 4*a)*(-b^3)^(2/3)*gamma(1/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) - 3*(b^4*x^2 - 2*a*b^3*x + 3*a^2*b^2)*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/b^7","A",0
209,1,141,0,0.684678," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^3,x, algorithm=""fricas"")","\frac{9 \, \left(-b^{3}\right)^{\frac{1}{3}} a^{2} b \Gamma\left(\frac{2}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) - {\left(3 \, a^{3} + 1\right)} \left(-b^{3}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) + 3 \, {\left(b^{3} x - 2 \, a b^{2}\right)} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}}{9 \, b^{6}}"," ",0,"1/9*(9*(-b^3)^(1/3)*a^2*b*gamma(2/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) - (3*a^3 + 1)*(-b^3)^(2/3)*gamma(1/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) + 3*(b^3*x - 2*a*b^2)*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/b^6","A",0
210,1,124,0,0.817289," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^2,x, algorithm=""fricas"")","\frac{\left(-b^{3}\right)^{\frac{2}{3}} a^{2} \Gamma\left(\frac{1}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) - 2 \, \left(-b^{3}\right)^{\frac{1}{3}} a b \Gamma\left(\frac{2}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) + b^{2} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}}{3 \, b^{5}}"," ",0,"1/3*((-b^3)^(2/3)*a^2*gamma(1/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) - 2*(-b^3)^(1/3)*a*b*gamma(2/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) + b^2*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/b^5","A",0
211,1,89,0,0.804467," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x,x, algorithm=""fricas"")","-\frac{\left(-b^{3}\right)^{\frac{2}{3}} a \Gamma\left(\frac{1}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) - \left(-b^{3}\right)^{\frac{1}{3}} b \Gamma\left(\frac{2}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right)}{3 \, b^{4}}"," ",0,"-1/3*((-b^3)^(2/3)*a*gamma(1/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) - (-b^3)^(1/3)*b*gamma(2/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3))/b^4","A",0
212,1,44,0,0.662165," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3),x, algorithm=""fricas"")","\frac{\left(-b^{3}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right)}{3 \, b^{3}}"," ",0,"1/3*(-b^3)^(2/3)*gamma(1/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3)/b^3","A",0
213,0,0,0,0.580641," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}}{x}, x\right)"," ",0,"integral(e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)/x, x)","F",0
214,0,0,0,0.692729," ","integrate(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} e^{\left(b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right)}, x\right)"," ",0,"integral(x^m*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
215,1,19,0,0.671582," ","integrate(exp((5+3*x)^(1/2)),x, algorithm=""fricas"")","\frac{2}{3} \, {\left(\sqrt{3 \, x + 5} - 1\right)} e^{\left(\sqrt{3 \, x + 5}\right)}"," ",0,"2/3*(sqrt(3*x + 5) - 1)*e^(sqrt(3*x + 5))","A",0
216,1,243,0,0.758747," ","integrate(f^(c/(b*x+a))*x^4,x, algorithm=""fricas"")","\frac{{\left(24 \, b^{5} x^{5} + 24 \, a^{5} + {\left(b c^{4} x + a c^{4}\right)} \log\left(f\right)^{4} + {\left(b^{2} c^{3} x^{2} - 18 \, a b c^{3} x - 19 \, a^{2} c^{3}\right)} \log\left(f\right)^{3} + 2 \, {\left(b^{3} c^{2} x^{3} - 7 \, a b^{2} c^{2} x^{2} + 43 \, a^{2} b c^{2} x + 51 \, a^{3} c^{2}\right)} \log\left(f\right)^{2} + 2 \, {\left(3 \, b^{4} c x^{4} - 8 \, a b^{3} c x^{3} + 18 \, a^{2} b^{2} c x^{2} - 48 \, a^{3} b c x - 77 \, a^{4} c\right)} \log\left(f\right)\right)} f^{\frac{c}{b x + a}} - {\left(c^{5} \log\left(f\right)^{5} - 20 \, a c^{4} \log\left(f\right)^{4} + 120 \, a^{2} c^{3} \log\left(f\right)^{3} - 240 \, a^{3} c^{2} \log\left(f\right)^{2} + 120 \, a^{4} c \log\left(f\right)\right)} {\rm Ei}\left(\frac{c \log\left(f\right)}{b x + a}\right)}{120 \, b^{5}}"," ",0,"1/120*((24*b^5*x^5 + 24*a^5 + (b*c^4*x + a*c^4)*log(f)^4 + (b^2*c^3*x^2 - 18*a*b*c^3*x - 19*a^2*c^3)*log(f)^3 + 2*(b^3*c^2*x^3 - 7*a*b^2*c^2*x^2 + 43*a^2*b*c^2*x + 51*a^3*c^2)*log(f)^2 + 2*(3*b^4*c*x^4 - 8*a*b^3*c*x^3 + 18*a^2*b^2*c*x^2 - 48*a^3*b*c*x - 77*a^4*c)*log(f))*f^(c/(b*x + a)) - (c^5*log(f)^5 - 20*a*c^4*log(f)^4 + 120*a^2*c^3*log(f)^3 - 240*a^3*c^2*log(f)^2 + 120*a^4*c*log(f))*Ei(c*log(f)/(b*x + a)))/b^5","B",0
217,1,171,0,0.621617," ","integrate(f^(c/(b*x+a))*x^3,x, algorithm=""fricas"")","\frac{{\left(6 \, b^{4} x^{4} - 6 \, a^{4} + {\left(b c^{3} x + a c^{3}\right)} \log\left(f\right)^{3} + {\left(b^{2} c^{2} x^{2} - 10 \, a b c^{2} x - 11 \, a^{2} c^{2}\right)} \log\left(f\right)^{2} + 2 \, {\left(b^{3} c x^{3} - 3 \, a b^{2} c x^{2} + 9 \, a^{2} b c x + 13 \, a^{3} c\right)} \log\left(f\right)\right)} f^{\frac{c}{b x + a}} - {\left(c^{4} \log\left(f\right)^{4} - 12 \, a c^{3} \log\left(f\right)^{3} + 36 \, a^{2} c^{2} \log\left(f\right)^{2} - 24 \, a^{3} c \log\left(f\right)\right)} {\rm Ei}\left(\frac{c \log\left(f\right)}{b x + a}\right)}{24 \, b^{4}}"," ",0,"1/24*((6*b^4*x^4 - 6*a^4 + (b*c^3*x + a*c^3)*log(f)^3 + (b^2*c^2*x^2 - 10*a*b*c^2*x - 11*a^2*c^2)*log(f)^2 + 2*(b^3*c*x^3 - 3*a*b^2*c*x^2 + 9*a^2*b*c*x + 13*a^3*c)*log(f))*f^(c/(b*x + a)) - (c^4*log(f)^4 - 12*a*c^3*log(f)^3 + 36*a^2*c^2*log(f)^2 - 24*a^3*c*log(f))*Ei(c*log(f)/(b*x + a)))/b^4","B",0
218,1,114,0,0.741984," ","integrate(f^(c/(b*x+a))*x^2,x, algorithm=""fricas"")","\frac{{\left(2 \, b^{3} x^{3} + 2 \, a^{3} + {\left(b c^{2} x + a c^{2}\right)} \log\left(f\right)^{2} + {\left(b^{2} c x^{2} - 4 \, a b c x - 5 \, a^{2} c\right)} \log\left(f\right)\right)} f^{\frac{c}{b x + a}} - {\left(c^{3} \log\left(f\right)^{3} - 6 \, a c^{2} \log\left(f\right)^{2} + 6 \, a^{2} c \log\left(f\right)\right)} {\rm Ei}\left(\frac{c \log\left(f\right)}{b x + a}\right)}{6 \, b^{3}}"," ",0,"1/6*((2*b^3*x^3 + 2*a^3 + (b*c^2*x + a*c^2)*log(f)^2 + (b^2*c*x^2 - 4*a*b*c*x - 5*a^2*c)*log(f))*f^(c/(b*x + a)) - (c^3*log(f)^3 - 6*a*c^2*log(f)^2 + 6*a^2*c*log(f))*Ei(c*log(f)/(b*x + a)))/b^3","A",0
219,1,71,0,0.949009," ","integrate(f^(c/(b*x+a))*x,x, algorithm=""fricas"")","\frac{{\left(b^{2} x^{2} - a^{2} + {\left(b c x + a c\right)} \log\left(f\right)\right)} f^{\frac{c}{b x + a}} - {\left(c^{2} \log\left(f\right)^{2} - 2 \, a c \log\left(f\right)\right)} {\rm Ei}\left(\frac{c \log\left(f\right)}{b x + a}\right)}{2 \, b^{2}}"," ",0,"1/2*((b^2*x^2 - a^2 + (b*c*x + a*c)*log(f))*f^(c/(b*x + a)) - (c^2*log(f)^2 - 2*a*c*log(f))*Ei(c*log(f)/(b*x + a)))/b^2","A",0
220,1,40,0,0.724811," ","integrate(f^(c/(b*x+a)),x, algorithm=""fricas"")","-\frac{c {\rm Ei}\left(\frac{c \log\left(f\right)}{b x + a}\right) \log\left(f\right) - {\left(b x + a\right)} f^{\frac{c}{b x + a}}}{b}"," ",0,"-(c*Ei(c*log(f)/(b*x + a))*log(f) - (b*x + a)*f^(c/(b*x + a)))/b","A",0
221,1,41,0,0.825663," ","integrate(f^(c/(b*x+a))/x,x, algorithm=""fricas"")","f^{\frac{c}{a}} {\rm Ei}\left(-\frac{b c x \log\left(f\right)}{a b x + a^{2}}\right) - {\rm Ei}\left(\frac{c \log\left(f\right)}{b x + a}\right)"," ",0,"f^(c/a)*Ei(-b*c*x*log(f)/(a*b*x + a^2)) - Ei(c*log(f)/(b*x + a))","A",0
222,1,60,0,0.869013," ","integrate(f^(c/(b*x+a))/x^2,x, algorithm=""fricas"")","-\frac{b c f^{\frac{c}{a}} x {\rm Ei}\left(-\frac{b c x \log\left(f\right)}{a b x + a^{2}}\right) \log\left(f\right) + {\left(a b x + a^{2}\right)} f^{\frac{c}{b x + a}}}{a^{2} x}"," ",0,"-(b*c*f^(c/a)*x*Ei(-b*c*x*log(f)/(a*b*x + a^2))*log(f) + (a*b*x + a^2)*f^(c/(b*x + a)))/(a^2*x)","A",0
223,1,110,0,0.635809," ","integrate(f^(c/(b*x+a))/x^3,x, algorithm=""fricas"")","\frac{{\left(b^{2} c^{2} x^{2} \log\left(f\right)^{2} + 2 \, a b^{2} c x^{2} \log\left(f\right)\right)} f^{\frac{c}{a}} {\rm Ei}\left(-\frac{b c x \log\left(f\right)}{a b x + a^{2}}\right) + {\left(a^{2} b^{2} x^{2} - a^{4} + {\left(a b^{2} c x^{2} + a^{2} b c x\right)} \log\left(f\right)\right)} f^{\frac{c}{b x + a}}}{2 \, a^{4} x^{2}}"," ",0,"1/2*((b^2*c^2*x^2*log(f)^2 + 2*a*b^2*c*x^2*log(f))*f^(c/a)*Ei(-b*c*x*log(f)/(a*b*x + a^2)) + (a^2*b^2*x^2 - a^4 + (a*b^2*c*x^2 + a^2*b*c*x)*log(f))*f^(c/(b*x + a)))/(a^4*x^2)","A",0
224,1,201,0,0.708314," ","integrate(f^(c/(b*x+a)^2)*x^4,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(15 \, a^{4} b + 60 \, a^{2} b c \log\left(f\right) + 4 \, b c^{2} \log\left(f\right)^{2}\right)} \sqrt{-\frac{c \log\left(f\right)}{b^{2}}} \operatorname{erf}\left(\frac{b \sqrt{-\frac{c \log\left(f\right)}{b^{2}}}}{b x + a}\right) + {\left(3 \, b^{5} x^{5} + 3 \, a^{5} + 4 \, {\left(b c^{2} x + a c^{2}\right)} \log\left(f\right)^{2} + {\left(2 \, b^{3} c x^{3} - 9 \, a b^{2} c x^{2} + 36 \, a^{2} b c x + 47 \, a^{3} c\right)} \log\left(f\right)\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}} + 15 \, {\left(2 \, a^{3} c \log\left(f\right) + a c^{2} \log\left(f\right)^{2}\right)} {\rm Ei}\left(\frac{c \log\left(f\right)}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{15 \, b^{5}}"," ",0,"1/15*(sqrt(pi)*(15*a^4*b + 60*a^2*b*c*log(f) + 4*b*c^2*log(f)^2)*sqrt(-c*log(f)/b^2)*erf(b*sqrt(-c*log(f)/b^2)/(b*x + a)) + (3*b^5*x^5 + 3*a^5 + 4*(b*c^2*x + a*c^2)*log(f)^2 + (2*b^3*c*x^3 - 9*a*b^2*c*x^2 + 36*a^2*b*c*x + 47*a^3*c)*log(f))*f^(c/(b^2*x^2 + 2*a*b*x + a^2)) + 15*(2*a^3*c*log(f) + a*c^2*log(f)^2)*Ei(c*log(f)/(b^2*x^2 + 2*a*b*x + a^2)))/b^5","A",0
225,1,156,0,0.754981," ","integrate(f^(c/(b*x+a)^2)*x^3,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{\pi} {\left(a^{3} b + 2 \, a b c \log\left(f\right)\right)} \sqrt{-\frac{c \log\left(f\right)}{b^{2}}} \operatorname{erf}\left(\frac{b \sqrt{-\frac{c \log\left(f\right)}{b^{2}}}}{b x + a}\right) - {\left(b^{4} x^{4} - a^{4} + {\left(b^{2} c x^{2} - 6 \, a b c x - 7 \, a^{2} c\right)} \log\left(f\right)\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}} + {\left(6 \, a^{2} c \log\left(f\right) + c^{2} \log\left(f\right)^{2}\right)} {\rm Ei}\left(\frac{c \log\left(f\right)}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right)}{4 \, b^{4}}"," ",0,"-1/4*(4*sqrt(pi)*(a^3*b + 2*a*b*c*log(f))*sqrt(-c*log(f)/b^2)*erf(b*sqrt(-c*log(f)/b^2)/(b*x + a)) - (b^4*x^4 - a^4 + (b^2*c*x^2 - 6*a*b*c*x - 7*a^2*c)*log(f))*f^(c/(b^2*x^2 + 2*a*b*x + a^2)) + (6*a^2*c*log(f) + c^2*log(f)^2)*Ei(c*log(f)/(b^2*x^2 + 2*a*b*x + a^2)))/b^4","A",0
226,1,128,0,0.822309," ","integrate(f^(c/(b*x+a)^2)*x^2,x, algorithm=""fricas"")","\frac{3 \, a c {\rm Ei}\left(\frac{c \log\left(f\right)}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) \log\left(f\right) + \sqrt{\pi} {\left(3 \, a^{2} b + 2 \, b c \log\left(f\right)\right)} \sqrt{-\frac{c \log\left(f\right)}{b^{2}}} \operatorname{erf}\left(\frac{b \sqrt{-\frac{c \log\left(f\right)}{b^{2}}}}{b x + a}\right) + {\left(b^{3} x^{3} + a^{3} + 2 \, {\left(b c x + a c\right)} \log\left(f\right)\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{3 \, b^{3}}"," ",0,"1/3*(3*a*c*Ei(c*log(f)/(b^2*x^2 + 2*a*b*x + a^2))*log(f) + sqrt(pi)*(3*a^2*b + 2*b*c*log(f))*sqrt(-c*log(f)/b^2)*erf(b*sqrt(-c*log(f)/b^2)/(b*x + a)) + (b^3*x^3 + a^3 + 2*(b*c*x + a*c)*log(f))*f^(c/(b^2*x^2 + 2*a*b*x + a^2)))/b^3","A",0
227,1,107,0,0.612663," ","integrate(f^(c/(b*x+a)^2)*x,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\pi} a b \sqrt{-\frac{c \log\left(f\right)}{b^{2}}} \operatorname{erf}\left(\frac{b \sqrt{-\frac{c \log\left(f\right)}{b^{2}}}}{b x + a}\right) + c {\rm Ei}\left(\frac{c \log\left(f\right)}{b^{2} x^{2} + 2 \, a b x + a^{2}}\right) \log\left(f\right) - {\left(b^{2} x^{2} - a^{2}\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{2 \, b^{2}}"," ",0,"-1/2*(2*sqrt(pi)*a*b*sqrt(-c*log(f)/b^2)*erf(b*sqrt(-c*log(f)/b^2)/(b*x + a)) + c*Ei(c*log(f)/(b^2*x^2 + 2*a*b*x + a^2))*log(f) - (b^2*x^2 - a^2)*f^(c/(b^2*x^2 + 2*a*b*x + a^2)))/b^2","A",0
228,1,68,0,0.650231," ","integrate(f^(c/(b*x+a)^2),x, algorithm=""fricas"")","\frac{\sqrt{\pi} b \sqrt{-\frac{c \log\left(f\right)}{b^{2}}} \operatorname{erf}\left(\frac{b \sqrt{-\frac{c \log\left(f\right)}{b^{2}}}}{b x + a}\right) + {\left(b x + a\right)} f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{b}"," ",0,"(sqrt(pi)*b*sqrt(-c*log(f)/b^2)*erf(b*sqrt(-c*log(f)/b^2)/(b*x + a)) + (b*x + a)*f^(c/(b^2*x^2 + 2*a*b*x + a^2)))/b","A",0
229,0,0,0,0.859841," ","integrate(f^(c/(b*x+a)^2)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{x}, x\right)"," ",0,"integral(f^(c/(b^2*x^2 + 2*a*b*x + a^2))/x, x)","F",0
230,0,0,0,0.785608," ","integrate(f^(c/(b*x+a)^2)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{x^{2}}, x\right)"," ",0,"integral(f^(c/(b^2*x^2 + 2*a*b*x + a^2))/x^2, x)","F",0
231,0,0,0,0.656364," ","integrate(f^(c/(b*x+a)^2)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}}}{x^{3}}, x\right)"," ",0,"integral(f^(c/(b^2*x^2 + 2*a*b*x + a^2))/x^3, x)","F",0
232,1,248,0,0.872911," ","integrate(f^(c/(b*x+a)^3)*x^4,x, algorithm=""fricas"")","-\frac{20 \, a^{2} c {\rm Ei}\left(\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) \log\left(f\right) - {\left(20 \, a^{3} b^{2} - 3 \, b^{2} c \log\left(f\right)\right)} \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) + 10 \, {\left(a^{4} b - 3 \, a b c \log\left(f\right)\right)} \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - {\left(2 \, b^{5} x^{5} + 2 \, a^{5} + 3 \, {\left(b^{2} c x^{2} - 8 \, a b c x - 9 \, a^{2} c\right)} \log\left(f\right)\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{10 \, b^{5}}"," ",0,"-1/10*(20*a^2*c*Ei(c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*log(f) - (20*a^3*b^2 - 3*b^2*c*log(f))*(-c*log(f)/b^3)^(2/3)*gamma(1/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) + 10*(a^4*b - 3*a*b*c*log(f))*(-c*log(f)/b^3)^(1/3)*gamma(2/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - (2*b^5*x^5 + 2*a^5 + 3*(b^2*c*x^2 - 8*a*b*c*x - 9*a^2*c)*log(f))*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)))/b^5","A",0
233,1,221,0,0.856121," ","integrate(f^(c/(b*x+a)^3)*x^3,x, algorithm=""fricas"")","-\frac{6 \, a^{2} b^{2} \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - 4 \, a c {\rm Ei}\left(\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) \log\left(f\right) - {\left(4 \, a^{3} b - 3 \, b c \log\left(f\right)\right)} \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - {\left(b^{4} x^{4} - a^{4} + 3 \, {\left(b c x + a c\right)} \log\left(f\right)\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{4 \, b^{4}}"," ",0,"-1/4*(6*a^2*b^2*(-c*log(f)/b^3)^(2/3)*gamma(1/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - 4*a*c*Ei(c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*log(f) - (4*a^3*b - 3*b*c*log(f))*(-c*log(f)/b^3)^(1/3)*gamma(2/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - (b^4*x^4 - a^4 + 3*(b*c*x + a*c)*log(f))*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)))/b^4","A",0
234,1,194,0,0.944179," ","integrate(f^(c/(b*x+a)^3)*x^2,x, algorithm=""fricas"")","\frac{3 \, a b^{2} \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - 3 \, a^{2} b \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - c {\rm Ei}\left(\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) \log\left(f\right) + {\left(b^{3} x^{3} + a^{3}\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{3 \, b^{3}}"," ",0,"1/3*(3*a*b^2*(-c*log(f)/b^3)^(2/3)*gamma(1/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - 3*a^2*b*(-c*log(f)/b^3)^(1/3)*gamma(2/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - c*Ei(c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*log(f) + (b^3*x^3 + a^3)*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)))/b^3","A",0
235,1,154,0,0.663889," ","integrate(f^(c/(b*x+a)^3)*x,x, algorithm=""fricas"")","-\frac{b^{2} \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - 2 \, a b \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - {\left(b^{2} x^{2} - a^{2}\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{2 \, b^{2}}"," ",0,"-1/2*(b^2*(-c*log(f)/b^3)^(2/3)*gamma(1/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - 2*a*b*(-c*log(f)/b^3)^(1/3)*gamma(2/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - (b^2*x^2 - a^2)*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)))/b^2","A",0
236,1,94,0,0.612831," ","integrate(f^(c/(b*x+a)^3),x, algorithm=""fricas"")","-\frac{b \left(-\frac{c \log\left(f\right)}{b^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{c \log\left(f\right)}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}\right) - {\left(b x + a\right)} f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{b}"," ",0,"-(b*(-c*log(f)/b^3)^(1/3)*gamma(2/3, -c*log(f)/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)) - (b*x + a)*f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3)))/b","B",0
237,0,0,0,1.009588," ","integrate(f^(c/(b*x+a)^3)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{x}, x\right)"," ",0,"integral(f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/x, x)","F",0
238,0,0,0,0.635199," ","integrate(f^(c/(b*x+a)^3)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{x^{2}}, x\right)"," ",0,"integral(f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/x^2, x)","F",0
239,0,0,0,0.576229," ","integrate(f^(c/(b*x+a)^3)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}}}{x^{3}}, x\right)"," ",0,"integral(f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))/x^3, x)","F",0
240,0,0,0,0.641496," ","integrate(f^(c*(b*x+a)^3)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{b^{3} c x^{3} + 3 \, a b^{2} c x^{2} + 3 \, a^{2} b c x + a^{3} c} x^{m}, x\right)"," ",0,"integral(f^(b^3*c*x^3 + 3*a*b^2*c*x^2 + 3*a^2*b*c*x + a^3*c)*x^m, x)","F",0
241,0,0,0,0.808423," ","integrate(f^(c*(b*x+a)^2)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{b^{2} c x^{2} + 2 \, a b c x + a^{2} c} x^{m}, x\right)"," ",0,"integral(f^(b^2*c*x^2 + 2*a*b*c*x + a^2*c)*x^m, x)","F",0
242,1,39,0,0.698109," ","integrate(f^(c*(b*x+a))*x^m,x, algorithm=""fricas"")","\frac{e^{\left(a c \log\left(f\right) - m \log\left(-b c \log\left(f\right)\right)\right)} \Gamma\left(m + 1, -b c x \log\left(f\right)\right)}{b c \log\left(f\right)}"," ",0,"e^(a*c*log(f) - m*log(-b*c*log(f)))*gamma(m + 1, -b*c*x*log(f))/(b*c*log(f))","A",0
243,0,0,0,0.596751," ","integrate(f^(c/(b*x+a))*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{\frac{c}{b x + a}} x^{m}, x\right)"," ",0,"integral(f^(c/(b*x + a))*x^m, x)","F",0
244,0,0,0,0.831384," ","integrate(f^(c/(b*x+a)^2)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{\frac{c}{b^{2} x^{2} + 2 \, a b x + a^{2}}} x^{m}, x\right)"," ",0,"integral(f^(c/(b^2*x^2 + 2*a*b*x + a^2))*x^m, x)","F",0
245,0,0,0,0.562445," ","integrate(f^(c/(b*x+a)^3)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{\frac{c}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}} x^{m}, x\right)"," ",0,"integral(f^(c/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3))*x^m, x)","F",0
246,0,0,0,0.601990," ","integrate(f^(c*(b*x+a)^n)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{{\left(b x + a\right)}^{n} c} x^{m}, x\right)"," ",0,"integral(f^((b*x + a)^n*c)*x^m, x)","F",0
247,0,0,0,0.756907," ","integrate(f^(c*(b*x+a)^n)*x^3,x, algorithm=""fricas"")","{\rm integral}\left(f^{{\left(b x + a\right)}^{n} c} x^{3}, x\right)"," ",0,"integral(f^((b*x + a)^n*c)*x^3, x)","F",0
248,0,0,0,0.800448," ","integrate(f^(c*(b*x+a)^n)*x^2,x, algorithm=""fricas"")","{\rm integral}\left(f^{{\left(b x + a\right)}^{n} c} x^{2}, x\right)"," ",0,"integral(f^((b*x + a)^n*c)*x^2, x)","F",0
249,0,0,0,0.740376," ","integrate(f^(c*(b*x+a)^n)*x,x, algorithm=""fricas"")","{\rm integral}\left(f^{{\left(b x + a\right)}^{n} c} x, x\right)"," ",0,"integral(f^((b*x + a)^n*c)*x, x)","F",0
250,0,0,0,0.864133," ","integrate(f^(c*(b*x+a)^n),x, algorithm=""fricas"")","{\rm integral}\left(f^{{\left(b x + a\right)}^{n} c}, x\right)"," ",0,"integral(f^((b*x + a)^n*c), x)","F",0
251,0,0,0,0.742871," ","integrate(f^(c*(b*x+a)^n)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{{\left(b x + a\right)}^{n} c}}{x}, x\right)"," ",0,"integral(f^((b*x + a)^n*c)/x, x)","F",0
252,0,0,0,0.859365," ","integrate(f^(c*(b*x+a)^n)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{{\left(b x + a\right)}^{n} c}}{x^{2}}, x\right)"," ",0,"integral(f^((b*x + a)^n*c)/x^2, x)","F",0
253,0,0,0,0.658850," ","integrate(f^(c*(b*x+a)^n)/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{{\left(b x + a\right)}^{n} c}}{x^{3}}, x\right)"," ",0,"integral(f^((b*x + a)^n*c)/x^3, x)","F",0
254,1,59,0,0.797017," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^m,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{1}{2} \, {\left(m - 1\right)} \log\left(-b \log\left(F\right)\right) + a \log\left(F\right)\right)} \Gamma\left(\frac{1}{2} \, m + \frac{1}{2}, -{\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right)}{2 \, b d \log\left(F\right)}"," ",0,"1/2*e^(-1/2*(m - 1)*log(-b*log(F)) + a*log(F))*gamma(1/2*m + 1/2, -(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))/(b*d*log(F))","A",0
255,1,468,0,0.780003," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^11,x, algorithm=""fricas"")","\frac{{\left({\left(b^{5} d^{10} x^{10} + 10 \, b^{5} c d^{9} x^{9} + 45 \, b^{5} c^{2} d^{8} x^{8} + 120 \, b^{5} c^{3} d^{7} x^{7} + 210 \, b^{5} c^{4} d^{6} x^{6} + 252 \, b^{5} c^{5} d^{5} x^{5} + 210 \, b^{5} c^{6} d^{4} x^{4} + 120 \, b^{5} c^{7} d^{3} x^{3} + 45 \, b^{5} c^{8} d^{2} x^{2} + 10 \, b^{5} c^{9} d x + b^{5} c^{10}\right)} \log\left(F\right)^{5} - 5 \, {\left(b^{4} d^{8} x^{8} + 8 \, b^{4} c d^{7} x^{7} + 28 \, b^{4} c^{2} d^{6} x^{6} + 56 \, b^{4} c^{3} d^{5} x^{5} + 70 \, b^{4} c^{4} d^{4} x^{4} + 56 \, b^{4} c^{5} d^{3} x^{3} + 28 \, b^{4} c^{6} d^{2} x^{2} + 8 \, b^{4} c^{7} d x + b^{4} c^{8}\right)} \log\left(F\right)^{4} + 20 \, {\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} - 60 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} + 120 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) - 120\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, b^{6} d \log\left(F\right)^{6}}"," ",0,"1/2*((b^5*d^10*x^10 + 10*b^5*c*d^9*x^9 + 45*b^5*c^2*d^8*x^8 + 120*b^5*c^3*d^7*x^7 + 210*b^5*c^4*d^6*x^6 + 252*b^5*c^5*d^5*x^5 + 210*b^5*c^6*d^4*x^4 + 120*b^5*c^7*d^3*x^3 + 45*b^5*c^8*d^2*x^2 + 10*b^5*c^9*d*x + b^5*c^10)*log(F)^5 - 5*(b^4*d^8*x^8 + 8*b^4*c*d^7*x^7 + 28*b^4*c^2*d^6*x^6 + 56*b^4*c^3*d^5*x^5 + 70*b^4*c^4*d^4*x^4 + 56*b^4*c^5*d^3*x^3 + 28*b^4*c^6*d^2*x^2 + 8*b^4*c^7*d*x + b^4*c^8)*log(F)^4 + 20*(b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 - 60*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 + 120*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) - 120)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(b^6*d*log(F)^6)","B",0
256,1,324,0,0.639316," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^9,x, algorithm=""fricas"")","\frac{{\left({\left(b^{4} d^{8} x^{8} + 8 \, b^{4} c d^{7} x^{7} + 28 \, b^{4} c^{2} d^{6} x^{6} + 56 \, b^{4} c^{3} d^{5} x^{5} + 70 \, b^{4} c^{4} d^{4} x^{4} + 56 \, b^{4} c^{5} d^{3} x^{3} + 28 \, b^{4} c^{6} d^{2} x^{2} + 8 \, b^{4} c^{7} d x + b^{4} c^{8}\right)} \log\left(F\right)^{4} - 4 \, {\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} + 12 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} - 24 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) + 24\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, b^{5} d \log\left(F\right)^{5}}"," ",0,"1/2*((b^4*d^8*x^8 + 8*b^4*c*d^7*x^7 + 28*b^4*c^2*d^6*x^6 + 56*b^4*c^3*d^5*x^5 + 70*b^4*c^4*d^4*x^4 + 56*b^4*c^5*d^3*x^3 + 28*b^4*c^6*d^2*x^2 + 8*b^4*c^7*d*x + b^4*c^8)*log(F)^4 - 4*(b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 + 12*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 - 24*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) + 24)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(b^5*d*log(F)^5)","B",0
257,1,208,0,0.716170," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^7,x, algorithm=""fricas"")","\frac{{\left({\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} - 3 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) - 6\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, b^{4} d \log\left(F\right)^{4}}"," ",0,"1/2*((b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 - 3*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 + 6*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) - 6)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(b^4*d*log(F)^4)","A",0
258,1,120,0,0.898875," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^5,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} - 2 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) + 2\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, b^{3} d \log\left(F\right)^{3}}"," ",0,"1/2*((b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 - 2*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) + 2)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(b^3*d*log(F)^3)","A",0
259,1,60,0,0.543807," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^3,x, algorithm=""fricas"")","\frac{{\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) - 1\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, b^{2} d \log\left(F\right)^{2}}"," ",0,"1/2*((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) - 1)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(b^2*d*log(F)^2)","A",0
260,1,35,0,0.589415," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c),x, algorithm=""fricas"")","\frac{F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, b d \log\left(F\right)}"," ",0,"1/2*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(b*d*log(F))","A",0
261,1,32,0,0.655243," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c),x, algorithm=""fricas"")","\frac{F^{a} {\rm Ei}\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right)}{2 \, d}"," ",0,"1/2*F^a*Ei((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))/d","A",0
262,1,100,0,0.730961," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^3,x, algorithm=""fricas"")","\frac{{\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} F^{a} {\rm Ei}\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right) \log\left(F\right) - F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{2 \, {\left(d^{3} x^{2} + 2 \, c d^{2} x + c^{2} d\right)}}"," ",0,"1/2*((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*F^a*Ei((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*log(F) - F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^3*x^2 + 2*c*d^2*x + c^2*d)","B",0
263,1,183,0,0.597466," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^5,x, algorithm=""fricas"")","\frac{{\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} F^{a} {\rm Ei}\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right) \log\left(F\right)^{2} - {\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) + 1\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{4 \, {\left(d^{5} x^{4} + 4 \, c d^{4} x^{3} + 6 \, c^{2} d^{3} x^{2} + 4 \, c^{3} d^{2} x + c^{4} d\right)}}"," ",0,"1/4*((b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*F^a*Ei((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*log(F)^2 - ((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) + 1)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^5*x^4 + 4*c*d^4*x^3 + 6*c^2*d^3*x^2 + 4*c^3*d^2*x + c^4*d)","B",0
264,1,292,0,0.597946," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^7,x, algorithm=""fricas"")","\frac{{\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} F^{a} {\rm Ei}\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right) \log\left(F\right)^{3} - {\left({\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} + {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) + 2\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{12 \, {\left(d^{7} x^{6} + 6 \, c d^{6} x^{5} + 15 \, c^{2} d^{5} x^{4} + 20 \, c^{3} d^{4} x^{3} + 15 \, c^{4} d^{3} x^{2} + 6 \, c^{5} d^{2} x + c^{6} d\right)}}"," ",0,"1/12*((b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*F^a*Ei((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*log(F)^3 - ((b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 + (b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) + 2)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^7*x^6 + 6*c*d^6*x^5 + 15*c^2*d^5*x^4 + 20*c^3*d^4*x^3 + 15*c^4*d^3*x^2 + 6*c^5*d^2*x + c^6*d)","B",0
265,1,430,0,0.668688," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^9,x, algorithm=""fricas"")","\frac{{\left(b^{4} d^{8} x^{8} + 8 \, b^{4} c d^{7} x^{7} + 28 \, b^{4} c^{2} d^{6} x^{6} + 56 \, b^{4} c^{3} d^{5} x^{5} + 70 \, b^{4} c^{4} d^{4} x^{4} + 56 \, b^{4} c^{5} d^{3} x^{3} + 28 \, b^{4} c^{6} d^{2} x^{2} + 8 \, b^{4} c^{7} d x + b^{4} c^{8}\right)} F^{a} {\rm Ei}\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right) \log\left(F\right)^{4} - {\left({\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} + {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} + 2 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) + 6\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{48 \, {\left(d^{9} x^{8} + 8 \, c d^{8} x^{7} + 28 \, c^{2} d^{7} x^{6} + 56 \, c^{3} d^{6} x^{5} + 70 \, c^{4} d^{5} x^{4} + 56 \, c^{5} d^{4} x^{3} + 28 \, c^{6} d^{3} x^{2} + 8 \, c^{7} d^{2} x + c^{8} d\right)}}"," ",0,"1/48*((b^4*d^8*x^8 + 8*b^4*c*d^7*x^7 + 28*b^4*c^2*d^6*x^6 + 56*b^4*c^3*d^5*x^5 + 70*b^4*c^4*d^4*x^4 + 56*b^4*c^5*d^3*x^3 + 28*b^4*c^6*d^2*x^2 + 8*b^4*c^7*d*x + b^4*c^8)*F^a*Ei((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*log(F)^4 - ((b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 + (b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 + 2*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) + 6)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^9*x^8 + 8*c*d^8*x^7 + 28*c^2*d^7*x^6 + 56*c^3*d^6*x^5 + 70*c^4*d^5*x^4 + 56*c^5*d^4*x^3 + 28*c^6*d^3*x^2 + 8*c^7*d^2*x + c^8*d)","B",0
266,1,596,0,0.675371," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^11,x, algorithm=""fricas"")","\frac{{\left(b^{5} d^{10} x^{10} + 10 \, b^{5} c d^{9} x^{9} + 45 \, b^{5} c^{2} d^{8} x^{8} + 120 \, b^{5} c^{3} d^{7} x^{7} + 210 \, b^{5} c^{4} d^{6} x^{6} + 252 \, b^{5} c^{5} d^{5} x^{5} + 210 \, b^{5} c^{6} d^{4} x^{4} + 120 \, b^{5} c^{7} d^{3} x^{3} + 45 \, b^{5} c^{8} d^{2} x^{2} + 10 \, b^{5} c^{9} d x + b^{5} c^{10}\right)} F^{a} {\rm Ei}\left({\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right) \log\left(F\right)^{5} - {\left({\left(b^{4} d^{8} x^{8} + 8 \, b^{4} c d^{7} x^{7} + 28 \, b^{4} c^{2} d^{6} x^{6} + 56 \, b^{4} c^{3} d^{5} x^{5} + 70 \, b^{4} c^{4} d^{4} x^{4} + 56 \, b^{4} c^{5} d^{3} x^{3} + 28 \, b^{4} c^{6} d^{2} x^{2} + 8 \, b^{4} c^{7} d x + b^{4} c^{8}\right)} \log\left(F\right)^{4} + {\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} + 2 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right) + 24\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{240 \, {\left(d^{11} x^{10} + 10 \, c d^{10} x^{9} + 45 \, c^{2} d^{9} x^{8} + 120 \, c^{3} d^{8} x^{7} + 210 \, c^{4} d^{7} x^{6} + 252 \, c^{5} d^{6} x^{5} + 210 \, c^{6} d^{5} x^{4} + 120 \, c^{7} d^{4} x^{3} + 45 \, c^{8} d^{3} x^{2} + 10 \, c^{9} d^{2} x + c^{10} d\right)}}"," ",0,"1/240*((b^5*d^10*x^10 + 10*b^5*c*d^9*x^9 + 45*b^5*c^2*d^8*x^8 + 120*b^5*c^3*d^7*x^7 + 210*b^5*c^4*d^6*x^6 + 252*b^5*c^5*d^5*x^5 + 210*b^5*c^6*d^4*x^4 + 120*b^5*c^7*d^3*x^3 + 45*b^5*c^8*d^2*x^2 + 10*b^5*c^9*d*x + b^5*c^10)*F^a*Ei((b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*log(F)^5 - ((b^4*d^8*x^8 + 8*b^4*c*d^7*x^7 + 28*b^4*c^2*d^6*x^6 + 56*b^4*c^3*d^5*x^5 + 70*b^4*c^4*d^4*x^4 + 56*b^4*c^5*d^3*x^3 + 28*b^4*c^6*d^2*x^2 + 8*b^4*c^7*d*x + b^4*c^8)*log(F)^4 + (b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 + 2*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 + 6*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F) + 24)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^11*x^10 + 10*c*d^10*x^9 + 45*c^2*d^9*x^8 + 120*c^3*d^8*x^7 + 210*c^4*d^7*x^6 + 252*c^5*d^6*x^5 + 210*c^6*d^5*x^4 + 120*c^7*d^4*x^3 + 45*c^8*d^3*x^2 + 10*c^9*d^2*x + c^10*d)","B",0
267,1,617,0,0.771035," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^12,x, algorithm=""fricas"")","-\frac{10395 \, \sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) - 2 \, {\left(32 \, {\left(b^{6} d^{12} x^{11} + 11 \, b^{6} c d^{11} x^{10} + 55 \, b^{6} c^{2} d^{10} x^{9} + 165 \, b^{6} c^{3} d^{9} x^{8} + 330 \, b^{6} c^{4} d^{8} x^{7} + 462 \, b^{6} c^{5} d^{7} x^{6} + 462 \, b^{6} c^{6} d^{6} x^{5} + 330 \, b^{6} c^{7} d^{5} x^{4} + 165 \, b^{6} c^{8} d^{4} x^{3} + 55 \, b^{6} c^{9} d^{3} x^{2} + 11 \, b^{6} c^{10} d^{2} x + b^{6} c^{11} d\right)} \log\left(F\right)^{6} - 176 \, {\left(b^{5} d^{10} x^{9} + 9 \, b^{5} c d^{9} x^{8} + 36 \, b^{5} c^{2} d^{8} x^{7} + 84 \, b^{5} c^{3} d^{7} x^{6} + 126 \, b^{5} c^{4} d^{6} x^{5} + 126 \, b^{5} c^{5} d^{5} x^{4} + 84 \, b^{5} c^{6} d^{4} x^{3} + 36 \, b^{5} c^{7} d^{3} x^{2} + 9 \, b^{5} c^{8} d^{2} x + b^{5} c^{9} d\right)} \log\left(F\right)^{5} + 792 \, {\left(b^{4} d^{8} x^{7} + 7 \, b^{4} c d^{7} x^{6} + 21 \, b^{4} c^{2} d^{6} x^{5} + 35 \, b^{4} c^{3} d^{5} x^{4} + 35 \, b^{4} c^{4} d^{4} x^{3} + 21 \, b^{4} c^{5} d^{3} x^{2} + 7 \, b^{4} c^{6} d^{2} x + b^{4} c^{7} d\right)} \log\left(F\right)^{4} - 2772 \, {\left(b^{3} d^{6} x^{5} + 5 \, b^{3} c d^{5} x^{4} + 10 \, b^{3} c^{2} d^{4} x^{3} + 10 \, b^{3} c^{3} d^{3} x^{2} + 5 \, b^{3} c^{4} d^{2} x + b^{3} c^{5} d\right)} \log\left(F\right)^{3} + 6930 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + b^{2} c^{3} d\right)} \log\left(F\right)^{2} - 10395 \, {\left(b d^{2} x + b c d\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{128 \, b^{7} d^{2} \log\left(F\right)^{7}}"," ",0,"-1/128*(10395*sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) - 2*(32*(b^6*d^12*x^11 + 11*b^6*c*d^11*x^10 + 55*b^6*c^2*d^10*x^9 + 165*b^6*c^3*d^9*x^8 + 330*b^6*c^4*d^8*x^7 + 462*b^6*c^5*d^7*x^6 + 462*b^6*c^6*d^6*x^5 + 330*b^6*c^7*d^5*x^4 + 165*b^6*c^8*d^4*x^3 + 55*b^6*c^9*d^3*x^2 + 11*b^6*c^10*d^2*x + b^6*c^11*d)*log(F)^6 - 176*(b^5*d^10*x^9 + 9*b^5*c*d^9*x^8 + 36*b^5*c^2*d^8*x^7 + 84*b^5*c^3*d^7*x^6 + 126*b^5*c^4*d^6*x^5 + 126*b^5*c^5*d^5*x^4 + 84*b^5*c^6*d^4*x^3 + 36*b^5*c^7*d^3*x^2 + 9*b^5*c^8*d^2*x + b^5*c^9*d)*log(F)^5 + 792*(b^4*d^8*x^7 + 7*b^4*c*d^7*x^6 + 21*b^4*c^2*d^6*x^5 + 35*b^4*c^3*d^5*x^4 + 35*b^4*c^4*d^4*x^3 + 21*b^4*c^5*d^3*x^2 + 7*b^4*c^6*d^2*x + b^4*c^7*d)*log(F)^4 - 2772*(b^3*d^6*x^5 + 5*b^3*c*d^5*x^4 + 10*b^3*c^2*d^4*x^3 + 10*b^3*c^3*d^3*x^2 + 5*b^3*c^4*d^2*x + b^3*c^5*d)*log(F)^3 + 6930*(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + b^2*c^3*d)*log(F)^2 - 10395*(b*d^2*x + b*c*d)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^7*d^2*log(F)^7)","A",0
268,1,456,0,1.014490," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^10,x, algorithm=""fricas"")","\frac{945 \, \sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) + 2 \, {\left(16 \, {\left(b^{5} d^{10} x^{9} + 9 \, b^{5} c d^{9} x^{8} + 36 \, b^{5} c^{2} d^{8} x^{7} + 84 \, b^{5} c^{3} d^{7} x^{6} + 126 \, b^{5} c^{4} d^{6} x^{5} + 126 \, b^{5} c^{5} d^{5} x^{4} + 84 \, b^{5} c^{6} d^{4} x^{3} + 36 \, b^{5} c^{7} d^{3} x^{2} + 9 \, b^{5} c^{8} d^{2} x + b^{5} c^{9} d\right)} \log\left(F\right)^{5} - 72 \, {\left(b^{4} d^{8} x^{7} + 7 \, b^{4} c d^{7} x^{6} + 21 \, b^{4} c^{2} d^{6} x^{5} + 35 \, b^{4} c^{3} d^{5} x^{4} + 35 \, b^{4} c^{4} d^{4} x^{3} + 21 \, b^{4} c^{5} d^{3} x^{2} + 7 \, b^{4} c^{6} d^{2} x + b^{4} c^{7} d\right)} \log\left(F\right)^{4} + 252 \, {\left(b^{3} d^{6} x^{5} + 5 \, b^{3} c d^{5} x^{4} + 10 \, b^{3} c^{2} d^{4} x^{3} + 10 \, b^{3} c^{3} d^{3} x^{2} + 5 \, b^{3} c^{4} d^{2} x + b^{3} c^{5} d\right)} \log\left(F\right)^{3} - 630 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + b^{2} c^{3} d\right)} \log\left(F\right)^{2} + 945 \, {\left(b d^{2} x + b c d\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{64 \, b^{6} d^{2} \log\left(F\right)^{6}}"," ",0,"1/64*(945*sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) + 2*(16*(b^5*d^10*x^9 + 9*b^5*c*d^9*x^8 + 36*b^5*c^2*d^8*x^7 + 84*b^5*c^3*d^7*x^6 + 126*b^5*c^4*d^6*x^5 + 126*b^5*c^5*d^5*x^4 + 84*b^5*c^6*d^4*x^3 + 36*b^5*c^7*d^3*x^2 + 9*b^5*c^8*d^2*x + b^5*c^9*d)*log(F)^5 - 72*(b^4*d^8*x^7 + 7*b^4*c*d^7*x^6 + 21*b^4*c^2*d^6*x^5 + 35*b^4*c^3*d^5*x^4 + 35*b^4*c^4*d^4*x^3 + 21*b^4*c^5*d^3*x^2 + 7*b^4*c^6*d^2*x + b^4*c^7*d)*log(F)^4 + 252*(b^3*d^6*x^5 + 5*b^3*c*d^5*x^4 + 10*b^3*c^2*d^4*x^3 + 10*b^3*c^3*d^3*x^2 + 5*b^3*c^4*d^2*x + b^3*c^5*d)*log(F)^3 - 630*(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + b^2*c^3*d)*log(F)^2 + 945*(b*d^2*x + b*c*d)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^6*d^2*log(F)^6)","A",0
269,1,323,0,0.914777," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^8,x, algorithm=""fricas"")","-\frac{105 \, \sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) - 2 \, {\left(8 \, {\left(b^{4} d^{8} x^{7} + 7 \, b^{4} c d^{7} x^{6} + 21 \, b^{4} c^{2} d^{6} x^{5} + 35 \, b^{4} c^{3} d^{5} x^{4} + 35 \, b^{4} c^{4} d^{4} x^{3} + 21 \, b^{4} c^{5} d^{3} x^{2} + 7 \, b^{4} c^{6} d^{2} x + b^{4} c^{7} d\right)} \log\left(F\right)^{4} - 28 \, {\left(b^{3} d^{6} x^{5} + 5 \, b^{3} c d^{5} x^{4} + 10 \, b^{3} c^{2} d^{4} x^{3} + 10 \, b^{3} c^{3} d^{3} x^{2} + 5 \, b^{3} c^{4} d^{2} x + b^{3} c^{5} d\right)} \log\left(F\right)^{3} + 70 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + b^{2} c^{3} d\right)} \log\left(F\right)^{2} - 105 \, {\left(b d^{2} x + b c d\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{32 \, b^{5} d^{2} \log\left(F\right)^{5}}"," ",0,"-1/32*(105*sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) - 2*(8*(b^4*d^8*x^7 + 7*b^4*c*d^7*x^6 + 21*b^4*c^2*d^6*x^5 + 35*b^4*c^3*d^5*x^4 + 35*b^4*c^4*d^4*x^3 + 21*b^4*c^5*d^3*x^2 + 7*b^4*c^6*d^2*x + b^4*c^7*d)*log(F)^4 - 28*(b^3*d^6*x^5 + 5*b^3*c*d^5*x^4 + 10*b^3*c^2*d^4*x^3 + 10*b^3*c^3*d^3*x^2 + 5*b^3*c^4*d^2*x + b^3*c^5*d)*log(F)^3 + 70*(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + b^2*c^3*d)*log(F)^2 - 105*(b*d^2*x + b*c*d)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^5*d^2*log(F)^5)","B",0
270,1,218,0,1.021461," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^6,x, algorithm=""fricas"")","\frac{15 \, \sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) + 2 \, {\left(4 \, {\left(b^{3} d^{6} x^{5} + 5 \, b^{3} c d^{5} x^{4} + 10 \, b^{3} c^{2} d^{4} x^{3} + 10 \, b^{3} c^{3} d^{3} x^{2} + 5 \, b^{3} c^{4} d^{2} x + b^{3} c^{5} d\right)} \log\left(F\right)^{3} - 10 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + b^{2} c^{3} d\right)} \log\left(F\right)^{2} + 15 \, {\left(b d^{2} x + b c d\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{16 \, b^{4} d^{2} \log\left(F\right)^{4}}"," ",0,"1/16*(15*sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) + 2*(4*(b^3*d^6*x^5 + 5*b^3*c*d^5*x^4 + 10*b^3*c^2*d^4*x^3 + 10*b^3*c^3*d^3*x^2 + 5*b^3*c^4*d^2*x + b^3*c^5*d)*log(F)^3 - 10*(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + b^2*c^3*d)*log(F)^2 + 15*(b*d^2*x + b*c*d)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^4*d^2*log(F)^4)","A",0
271,1,141,0,0.881392," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^4,x, algorithm=""fricas"")","-\frac{3 \, \sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) - 2 \, {\left(2 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + b^{2} c^{3} d\right)} \log\left(F\right)^{2} - 3 \, {\left(b d^{2} x + b c d\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{8 \, b^{3} d^{2} \log\left(F\right)^{3}}"," ",0,"-1/8*(3*sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) - 2*(2*(b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + b^2*c^3*d)*log(F)^2 - 3*(b*d^2*x + b*c*d)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^3*d^2*log(F)^3)","A",0
272,1,88,0,0.855160," ","integrate(F^(a+b*(d*x+c)^2)*(d*x+c)^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) + 2 \, {\left(b d^{2} x + b c d\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a} \log\left(F\right)}{4 \, b^{2} d^{2} \log\left(F\right)^{2}}"," ",0,"1/4*(sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) + 2*(b*d^2*x + b*c*d)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)*log(F))/(b^2*d^2*log(F)^2)","A",0
273,1,48,0,0.944302," ","integrate(F^(a+b*(d*x+c)^2),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right)}{2 \, b d^{2} \log\left(F\right)}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d)/(b*d^2*log(F))","A",0
274,1,83,0,0.798764," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) + F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a} d}{d^{3} x + c d^{2}}"," ",0,"-(sqrt(pi)*sqrt(-b*d^2*log(F))*(d*x + c)*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) + F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)*d)/(d^3*x + c*d^2)","A",0
275,1,163,0,0.855714," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^4,x, algorithm=""fricas"")","-\frac{2 \, \sqrt{\pi} {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) \log\left(F\right) + {\left(2 \, {\left(b d^{3} x^{2} + 2 \, b c d^{2} x + b c^{2} d\right)} \log\left(F\right) + d\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{3 \, {\left(d^{5} x^{3} + 3 \, c d^{4} x^{2} + 3 \, c^{2} d^{3} x + c^{3} d^{2}\right)}}"," ",0,"-1/3*(2*sqrt(pi)*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d)*log(F) + (2*(b*d^3*x^2 + 2*b*c*d^2*x + b*c^2*d)*log(F) + d)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^5*x^3 + 3*c*d^4*x^2 + 3*c^2*d^3*x + c^3*d^2)","A",0
276,1,288,0,0.942646," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^6,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{\pi} {\left(b^{2} d^{5} x^{5} + 5 \, b^{2} c d^{4} x^{4} + 10 \, b^{2} c^{2} d^{3} x^{3} + 10 \, b^{2} c^{3} d^{2} x^{2} + 5 \, b^{2} c^{4} d x + b^{2} c^{5}\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) \log\left(F\right)^{2} + {\left(4 \, {\left(b^{2} d^{5} x^{4} + 4 \, b^{2} c d^{4} x^{3} + 6 \, b^{2} c^{2} d^{3} x^{2} + 4 \, b^{2} c^{3} d^{2} x + b^{2} c^{4} d\right)} \log\left(F\right)^{2} + 2 \, {\left(b d^{3} x^{2} + 2 \, b c d^{2} x + b c^{2} d\right)} \log\left(F\right) + 3 \, d\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{15 \, {\left(d^{7} x^{5} + 5 \, c d^{6} x^{4} + 10 \, c^{2} d^{5} x^{3} + 10 \, c^{3} d^{4} x^{2} + 5 \, c^{4} d^{3} x + c^{5} d^{2}\right)}}"," ",0,"-1/15*(4*sqrt(pi)*(b^2*d^5*x^5 + 5*b^2*c*d^4*x^4 + 10*b^2*c^2*d^3*x^3 + 10*b^2*c^3*d^2*x^2 + 5*b^2*c^4*d*x + b^2*c^5)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d)*log(F)^2 + (4*(b^2*d^5*x^4 + 4*b^2*c*d^4*x^3 + 6*b^2*c^2*d^3*x^2 + 4*b^2*c^3*d^2*x + b^2*c^4*d)*log(F)^2 + 2*(b*d^3*x^2 + 2*b*c*d^2*x + b*c^2*d)*log(F) + 3*d)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^7*x^5 + 5*c*d^6*x^4 + 10*c^2*d^5*x^3 + 10*c^3*d^4*x^2 + 5*c^4*d^3*x + c^5*d^2)","B",0
277,1,429,0,0.923035," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^8,x, algorithm=""fricas"")","-\frac{8 \, \sqrt{\pi} {\left(b^{3} d^{7} x^{7} + 7 \, b^{3} c d^{6} x^{6} + 21 \, b^{3} c^{2} d^{5} x^{5} + 35 \, b^{3} c^{3} d^{4} x^{4} + 35 \, b^{3} c^{4} d^{3} x^{3} + 21 \, b^{3} c^{5} d^{2} x^{2} + 7 \, b^{3} c^{6} d x + b^{3} c^{7}\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) \log\left(F\right)^{3} + {\left(8 \, {\left(b^{3} d^{7} x^{6} + 6 \, b^{3} c d^{6} x^{5} + 15 \, b^{3} c^{2} d^{5} x^{4} + 20 \, b^{3} c^{3} d^{4} x^{3} + 15 \, b^{3} c^{4} d^{3} x^{2} + 6 \, b^{3} c^{5} d^{2} x + b^{3} c^{6} d\right)} \log\left(F\right)^{3} + 4 \, {\left(b^{2} d^{5} x^{4} + 4 \, b^{2} c d^{4} x^{3} + 6 \, b^{2} c^{2} d^{3} x^{2} + 4 \, b^{2} c^{3} d^{2} x + b^{2} c^{4} d\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{3} x^{2} + 2 \, b c d^{2} x + b c^{2} d\right)} \log\left(F\right) + 15 \, d\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{105 \, {\left(d^{9} x^{7} + 7 \, c d^{8} x^{6} + 21 \, c^{2} d^{7} x^{5} + 35 \, c^{3} d^{6} x^{4} + 35 \, c^{4} d^{5} x^{3} + 21 \, c^{5} d^{4} x^{2} + 7 \, c^{6} d^{3} x + c^{7} d^{2}\right)}}"," ",0,"-1/105*(8*sqrt(pi)*(b^3*d^7*x^7 + 7*b^3*c*d^6*x^6 + 21*b^3*c^2*d^5*x^5 + 35*b^3*c^3*d^4*x^4 + 35*b^3*c^4*d^3*x^3 + 21*b^3*c^5*d^2*x^2 + 7*b^3*c^6*d*x + b^3*c^7)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d)*log(F)^3 + (8*(b^3*d^7*x^6 + 6*b^3*c*d^6*x^5 + 15*b^3*c^2*d^5*x^4 + 20*b^3*c^3*d^4*x^3 + 15*b^3*c^4*d^3*x^2 + 6*b^3*c^5*d^2*x + b^3*c^6*d)*log(F)^3 + 4*(b^2*d^5*x^4 + 4*b^2*c*d^4*x^3 + 6*b^2*c^2*d^3*x^2 + 4*b^2*c^3*d^2*x + b^2*c^4*d)*log(F)^2 + 6*(b*d^3*x^2 + 2*b*c*d^2*x + b*c^2*d)*log(F) + 15*d)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^9*x^7 + 7*c*d^8*x^6 + 21*c^2*d^7*x^5 + 35*c^3*d^6*x^4 + 35*c^4*d^5*x^3 + 21*c^5*d^4*x^2 + 7*c^6*d^3*x + c^7*d^2)","B",0
278,1,598,0,0.907897," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^10,x, algorithm=""fricas"")","-\frac{16 \, \sqrt{\pi} {\left(b^{4} d^{9} x^{9} + 9 \, b^{4} c d^{8} x^{8} + 36 \, b^{4} c^{2} d^{7} x^{7} + 84 \, b^{4} c^{3} d^{6} x^{6} + 126 \, b^{4} c^{4} d^{5} x^{5} + 126 \, b^{4} c^{5} d^{4} x^{4} + 84 \, b^{4} c^{6} d^{3} x^{3} + 36 \, b^{4} c^{7} d^{2} x^{2} + 9 \, b^{4} c^{8} d x + b^{4} c^{9}\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) \log\left(F\right)^{4} + {\left(16 \, {\left(b^{4} d^{9} x^{8} + 8 \, b^{4} c d^{8} x^{7} + 28 \, b^{4} c^{2} d^{7} x^{6} + 56 \, b^{4} c^{3} d^{6} x^{5} + 70 \, b^{4} c^{4} d^{5} x^{4} + 56 \, b^{4} c^{5} d^{4} x^{3} + 28 \, b^{4} c^{6} d^{3} x^{2} + 8 \, b^{4} c^{7} d^{2} x + b^{4} c^{8} d\right)} \log\left(F\right)^{4} + 8 \, {\left(b^{3} d^{7} x^{6} + 6 \, b^{3} c d^{6} x^{5} + 15 \, b^{3} c^{2} d^{5} x^{4} + 20 \, b^{3} c^{3} d^{4} x^{3} + 15 \, b^{3} c^{4} d^{3} x^{2} + 6 \, b^{3} c^{5} d^{2} x + b^{3} c^{6} d\right)} \log\left(F\right)^{3} + 12 \, {\left(b^{2} d^{5} x^{4} + 4 \, b^{2} c d^{4} x^{3} + 6 \, b^{2} c^{2} d^{3} x^{2} + 4 \, b^{2} c^{3} d^{2} x + b^{2} c^{4} d\right)} \log\left(F\right)^{2} + 30 \, {\left(b d^{3} x^{2} + 2 \, b c d^{2} x + b c^{2} d\right)} \log\left(F\right) + 105 \, d\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{945 \, {\left(d^{11} x^{9} + 9 \, c d^{10} x^{8} + 36 \, c^{2} d^{9} x^{7} + 84 \, c^{3} d^{8} x^{6} + 126 \, c^{4} d^{7} x^{5} + 126 \, c^{5} d^{6} x^{4} + 84 \, c^{6} d^{5} x^{3} + 36 \, c^{7} d^{4} x^{2} + 9 \, c^{8} d^{3} x + c^{9} d^{2}\right)}}"," ",0,"-1/945*(16*sqrt(pi)*(b^4*d^9*x^9 + 9*b^4*c*d^8*x^8 + 36*b^4*c^2*d^7*x^7 + 84*b^4*c^3*d^6*x^6 + 126*b^4*c^4*d^5*x^5 + 126*b^4*c^5*d^4*x^4 + 84*b^4*c^6*d^3*x^3 + 36*b^4*c^7*d^2*x^2 + 9*b^4*c^8*d*x + b^4*c^9)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d)*log(F)^4 + (16*(b^4*d^9*x^8 + 8*b^4*c*d^8*x^7 + 28*b^4*c^2*d^7*x^6 + 56*b^4*c^3*d^6*x^5 + 70*b^4*c^4*d^5*x^4 + 56*b^4*c^5*d^4*x^3 + 28*b^4*c^6*d^3*x^2 + 8*b^4*c^7*d^2*x + b^4*c^8*d)*log(F)^4 + 8*(b^3*d^7*x^6 + 6*b^3*c*d^6*x^5 + 15*b^3*c^2*d^5*x^4 + 20*b^3*c^3*d^4*x^3 + 15*b^3*c^4*d^3*x^2 + 6*b^3*c^5*d^2*x + b^3*c^6*d)*log(F)^3 + 12*(b^2*d^5*x^4 + 4*b^2*c*d^4*x^3 + 6*b^2*c^2*d^3*x^2 + 4*b^2*c^3*d^2*x + b^2*c^4*d)*log(F)^2 + 30*(b*d^3*x^2 + 2*b*c*d^2*x + b*c^2*d)*log(F) + 105*d)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^11*x^9 + 9*c*d^10*x^8 + 36*c^2*d^9*x^7 + 84*c^3*d^8*x^6 + 126*c^4*d^7*x^5 + 126*c^5*d^6*x^4 + 84*c^6*d^5*x^3 + 36*c^7*d^4*x^2 + 9*c^8*d^3*x + c^9*d^2)","B",0
279,1,795,0,0.990680," ","integrate(F^(a+b*(d*x+c)^2)/(d*x+c)^12,x, algorithm=""fricas"")","-\frac{32 \, \sqrt{\pi} {\left(b^{5} d^{11} x^{11} + 11 \, b^{5} c d^{10} x^{10} + 55 \, b^{5} c^{2} d^{9} x^{9} + 165 \, b^{5} c^{3} d^{8} x^{8} + 330 \, b^{5} c^{4} d^{7} x^{7} + 462 \, b^{5} c^{5} d^{6} x^{6} + 462 \, b^{5} c^{6} d^{5} x^{5} + 330 \, b^{5} c^{7} d^{4} x^{4} + 165 \, b^{5} c^{8} d^{3} x^{3} + 55 \, b^{5} c^{9} d^{2} x^{2} + 11 \, b^{5} c^{10} d x + b^{5} c^{11}\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) \log\left(F\right)^{5} + {\left(32 \, {\left(b^{5} d^{11} x^{10} + 10 \, b^{5} c d^{10} x^{9} + 45 \, b^{5} c^{2} d^{9} x^{8} + 120 \, b^{5} c^{3} d^{8} x^{7} + 210 \, b^{5} c^{4} d^{7} x^{6} + 252 \, b^{5} c^{5} d^{6} x^{5} + 210 \, b^{5} c^{6} d^{5} x^{4} + 120 \, b^{5} c^{7} d^{4} x^{3} + 45 \, b^{5} c^{8} d^{3} x^{2} + 10 \, b^{5} c^{9} d^{2} x + b^{5} c^{10} d\right)} \log\left(F\right)^{5} + 16 \, {\left(b^{4} d^{9} x^{8} + 8 \, b^{4} c d^{8} x^{7} + 28 \, b^{4} c^{2} d^{7} x^{6} + 56 \, b^{4} c^{3} d^{6} x^{5} + 70 \, b^{4} c^{4} d^{5} x^{4} + 56 \, b^{4} c^{5} d^{4} x^{3} + 28 \, b^{4} c^{6} d^{3} x^{2} + 8 \, b^{4} c^{7} d^{2} x + b^{4} c^{8} d\right)} \log\left(F\right)^{4} + 24 \, {\left(b^{3} d^{7} x^{6} + 6 \, b^{3} c d^{6} x^{5} + 15 \, b^{3} c^{2} d^{5} x^{4} + 20 \, b^{3} c^{3} d^{4} x^{3} + 15 \, b^{3} c^{4} d^{3} x^{2} + 6 \, b^{3} c^{5} d^{2} x + b^{3} c^{6} d\right)} \log\left(F\right)^{3} + 60 \, {\left(b^{2} d^{5} x^{4} + 4 \, b^{2} c d^{4} x^{3} + 6 \, b^{2} c^{2} d^{3} x^{2} + 4 \, b^{2} c^{3} d^{2} x + b^{2} c^{4} d\right)} \log\left(F\right)^{2} + 210 \, {\left(b d^{3} x^{2} + 2 \, b c d^{2} x + b c^{2} d\right)} \log\left(F\right) + 945 \, d\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{10395 \, {\left(d^{13} x^{11} + 11 \, c d^{12} x^{10} + 55 \, c^{2} d^{11} x^{9} + 165 \, c^{3} d^{10} x^{8} + 330 \, c^{4} d^{9} x^{7} + 462 \, c^{5} d^{8} x^{6} + 462 \, c^{6} d^{7} x^{5} + 330 \, c^{7} d^{6} x^{4} + 165 \, c^{8} d^{5} x^{3} + 55 \, c^{9} d^{4} x^{2} + 11 \, c^{10} d^{3} x + c^{11} d^{2}\right)}}"," ",0,"-1/10395*(32*sqrt(pi)*(b^5*d^11*x^11 + 11*b^5*c*d^10*x^10 + 55*b^5*c^2*d^9*x^9 + 165*b^5*c^3*d^8*x^8 + 330*b^5*c^4*d^7*x^7 + 462*b^5*c^5*d^6*x^6 + 462*b^5*c^6*d^5*x^5 + 330*b^5*c^7*d^4*x^4 + 165*b^5*c^8*d^3*x^3 + 55*b^5*c^9*d^2*x^2 + 11*b^5*c^10*d*x + b^5*c^11)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d)*log(F)^5 + (32*(b^5*d^11*x^10 + 10*b^5*c*d^10*x^9 + 45*b^5*c^2*d^9*x^8 + 120*b^5*c^3*d^8*x^7 + 210*b^5*c^4*d^7*x^6 + 252*b^5*c^5*d^6*x^5 + 210*b^5*c^6*d^5*x^4 + 120*b^5*c^7*d^4*x^3 + 45*b^5*c^8*d^3*x^2 + 10*b^5*c^9*d^2*x + b^5*c^10*d)*log(F)^5 + 16*(b^4*d^9*x^8 + 8*b^4*c*d^8*x^7 + 28*b^4*c^2*d^7*x^6 + 56*b^4*c^3*d^6*x^5 + 70*b^4*c^4*d^5*x^4 + 56*b^4*c^5*d^4*x^3 + 28*b^4*c^6*d^3*x^2 + 8*b^4*c^7*d^2*x + b^4*c^8*d)*log(F)^4 + 24*(b^3*d^7*x^6 + 6*b^3*c*d^6*x^5 + 15*b^3*c^2*d^5*x^4 + 20*b^3*c^3*d^4*x^3 + 15*b^3*c^4*d^3*x^2 + 6*b^3*c^5*d^2*x + b^3*c^6*d)*log(F)^3 + 60*(b^2*d^5*x^4 + 4*b^2*c*d^4*x^3 + 6*b^2*c^2*d^3*x^2 + 4*b^2*c^3*d^2*x + b^2*c^4*d)*log(F)^2 + 210*(b*d^3*x^2 + 2*b*c*d^2*x + b*c^2*d)*log(F) + 945*d)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(d^13*x^11 + 11*c*d^12*x^10 + 55*c^2*d^11*x^9 + 165*c^3*d^10*x^8 + 330*c^4*d^9*x^7 + 462*c^5*d^8*x^6 + 462*c^6*d^7*x^5 + 330*c^7*d^6*x^4 + 165*c^8*d^5*x^3 + 55*c^9*d^4*x^2 + 11*c^10*d^3*x + c^11*d^2)","B",0
280,1,71,0,0.467804," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^m,x, algorithm=""fricas"")","\frac{e^{\left(-\frac{1}{3} \, {\left(m - 2\right)} \log\left(-b \log\left(F\right)\right) + a \log\left(F\right)\right)} \Gamma\left(\frac{1}{3} \, m + \frac{1}{3}, -{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)}{3 \, b d \log\left(F\right)}"," ",0,"1/3*e^(-1/3*(m - 2)*log(-b*log(F)) + a*log(F))*gamma(1/3*m + 1/3, -(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))/(b*d*log(F))","A",0
281,1,688,0,0.755274," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^17,x, algorithm=""fricas"")","\frac{{\left({\left(b^{5} d^{15} x^{15} + 15 \, b^{5} c d^{14} x^{14} + 105 \, b^{5} c^{2} d^{13} x^{13} + 455 \, b^{5} c^{3} d^{12} x^{12} + 1365 \, b^{5} c^{4} d^{11} x^{11} + 3003 \, b^{5} c^{5} d^{10} x^{10} + 5005 \, b^{5} c^{6} d^{9} x^{9} + 6435 \, b^{5} c^{7} d^{8} x^{8} + 6435 \, b^{5} c^{8} d^{7} x^{7} + 5005 \, b^{5} c^{9} d^{6} x^{6} + 3003 \, b^{5} c^{10} d^{5} x^{5} + 1365 \, b^{5} c^{11} d^{4} x^{4} + 455 \, b^{5} c^{12} d^{3} x^{3} + 105 \, b^{5} c^{13} d^{2} x^{2} + 15 \, b^{5} c^{14} d x + b^{5} c^{15}\right)} \log\left(F\right)^{5} - 5 \, {\left(b^{4} d^{12} x^{12} + 12 \, b^{4} c d^{11} x^{11} + 66 \, b^{4} c^{2} d^{10} x^{10} + 220 \, b^{4} c^{3} d^{9} x^{9} + 495 \, b^{4} c^{4} d^{8} x^{8} + 792 \, b^{4} c^{5} d^{7} x^{7} + 924 \, b^{4} c^{6} d^{6} x^{6} + 792 \, b^{4} c^{7} d^{5} x^{5} + 495 \, b^{4} c^{8} d^{4} x^{4} + 220 \, b^{4} c^{9} d^{3} x^{3} + 66 \, b^{4} c^{10} d^{2} x^{2} + 12 \, b^{4} c^{11} d x + b^{4} c^{12}\right)} \log\left(F\right)^{4} + 20 \, {\left(b^{3} d^{9} x^{9} + 9 \, b^{3} c d^{8} x^{8} + 36 \, b^{3} c^{2} d^{7} x^{7} + 84 \, b^{3} c^{3} d^{6} x^{6} + 126 \, b^{3} c^{4} d^{5} x^{5} + 126 \, b^{3} c^{5} d^{4} x^{4} + 84 \, b^{3} c^{6} d^{3} x^{3} + 36 \, b^{3} c^{7} d^{2} x^{2} + 9 \, b^{3} c^{8} d x + b^{3} c^{9}\right)} \log\left(F\right)^{3} - 60 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + 120 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) - 120\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, b^{6} d \log\left(F\right)^{6}}"," ",0,"1/3*((b^5*d^15*x^15 + 15*b^5*c*d^14*x^14 + 105*b^5*c^2*d^13*x^13 + 455*b^5*c^3*d^12*x^12 + 1365*b^5*c^4*d^11*x^11 + 3003*b^5*c^5*d^10*x^10 + 5005*b^5*c^6*d^9*x^9 + 6435*b^5*c^7*d^8*x^8 + 6435*b^5*c^8*d^7*x^7 + 5005*b^5*c^9*d^6*x^6 + 3003*b^5*c^10*d^5*x^5 + 1365*b^5*c^11*d^4*x^4 + 455*b^5*c^12*d^3*x^3 + 105*b^5*c^13*d^2*x^2 + 15*b^5*c^14*d*x + b^5*c^15)*log(F)^5 - 5*(b^4*d^12*x^12 + 12*b^4*c*d^11*x^11 + 66*b^4*c^2*d^10*x^10 + 220*b^4*c^3*d^9*x^9 + 495*b^4*c^4*d^8*x^8 + 792*b^4*c^5*d^7*x^7 + 924*b^4*c^6*d^6*x^6 + 792*b^4*c^7*d^5*x^5 + 495*b^4*c^8*d^4*x^4 + 220*b^4*c^9*d^3*x^3 + 66*b^4*c^10*d^2*x^2 + 12*b^4*c^11*d*x + b^4*c^12)*log(F)^4 + 20*(b^3*d^9*x^9 + 9*b^3*c*d^8*x^8 + 36*b^3*c^2*d^7*x^7 + 84*b^3*c^3*d^6*x^6 + 126*b^3*c^4*d^5*x^5 + 126*b^3*c^5*d^4*x^4 + 84*b^3*c^6*d^3*x^3 + 36*b^3*c^7*d^2*x^2 + 9*b^3*c^8*d*x + b^3*c^9)*log(F)^3 - 60*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + 120*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) - 120)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b^6*d*log(F)^6)","B",0
282,1,474,0,0.736848," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^14,x, algorithm=""fricas"")","\frac{{\left({\left(b^{4} d^{12} x^{12} + 12 \, b^{4} c d^{11} x^{11} + 66 \, b^{4} c^{2} d^{10} x^{10} + 220 \, b^{4} c^{3} d^{9} x^{9} + 495 \, b^{4} c^{4} d^{8} x^{8} + 792 \, b^{4} c^{5} d^{7} x^{7} + 924 \, b^{4} c^{6} d^{6} x^{6} + 792 \, b^{4} c^{7} d^{5} x^{5} + 495 \, b^{4} c^{8} d^{4} x^{4} + 220 \, b^{4} c^{9} d^{3} x^{3} + 66 \, b^{4} c^{10} d^{2} x^{2} + 12 \, b^{4} c^{11} d x + b^{4} c^{12}\right)} \log\left(F\right)^{4} - 4 \, {\left(b^{3} d^{9} x^{9} + 9 \, b^{3} c d^{8} x^{8} + 36 \, b^{3} c^{2} d^{7} x^{7} + 84 \, b^{3} c^{3} d^{6} x^{6} + 126 \, b^{3} c^{4} d^{5} x^{5} + 126 \, b^{3} c^{5} d^{4} x^{4} + 84 \, b^{3} c^{6} d^{3} x^{3} + 36 \, b^{3} c^{7} d^{2} x^{2} + 9 \, b^{3} c^{8} d x + b^{3} c^{9}\right)} \log\left(F\right)^{3} + 12 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} - 24 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) + 24\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, b^{5} d \log\left(F\right)^{5}}"," ",0,"1/3*((b^4*d^12*x^12 + 12*b^4*c*d^11*x^11 + 66*b^4*c^2*d^10*x^10 + 220*b^4*c^3*d^9*x^9 + 495*b^4*c^4*d^8*x^8 + 792*b^4*c^5*d^7*x^7 + 924*b^4*c^6*d^6*x^6 + 792*b^4*c^7*d^5*x^5 + 495*b^4*c^8*d^4*x^4 + 220*b^4*c^9*d^3*x^3 + 66*b^4*c^10*d^2*x^2 + 12*b^4*c^11*d*x + b^4*c^12)*log(F)^4 - 4*(b^3*d^9*x^9 + 9*b^3*c*d^8*x^8 + 36*b^3*c^2*d^7*x^7 + 84*b^3*c^3*d^6*x^6 + 126*b^3*c^4*d^5*x^5 + 126*b^3*c^5*d^4*x^4 + 84*b^3*c^6*d^3*x^3 + 36*b^3*c^7*d^2*x^2 + 9*b^3*c^8*d*x + b^3*c^9)*log(F)^3 + 12*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 - 24*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) + 24)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b^5*d*log(F)^5)","B",0
283,1,302,0,0.716230," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^11,x, algorithm=""fricas"")","\frac{{\left({\left(b^{3} d^{9} x^{9} + 9 \, b^{3} c d^{8} x^{8} + 36 \, b^{3} c^{2} d^{7} x^{7} + 84 \, b^{3} c^{3} d^{6} x^{6} + 126 \, b^{3} c^{4} d^{5} x^{5} + 126 \, b^{3} c^{5} d^{4} x^{4} + 84 \, b^{3} c^{6} d^{3} x^{3} + 36 \, b^{3} c^{7} d^{2} x^{2} + 9 \, b^{3} c^{8} d x + b^{3} c^{9}\right)} \log\left(F\right)^{3} - 3 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) - 6\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, b^{4} d \log\left(F\right)^{4}}"," ",0,"1/3*((b^3*d^9*x^9 + 9*b^3*c*d^8*x^8 + 36*b^3*c^2*d^7*x^7 + 84*b^3*c^3*d^6*x^6 + 126*b^3*c^4*d^5*x^5 + 126*b^3*c^5*d^4*x^4 + 84*b^3*c^6*d^3*x^3 + 36*b^3*c^7*d^2*x^2 + 9*b^3*c^8*d*x + b^3*c^9)*log(F)^3 - 3*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + 6*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) - 6)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b^4*d*log(F)^4)","B",0
284,1,172,0,0.648291," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^8,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} - 2 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) + 2\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, b^{3} d \log\left(F\right)^{3}}"," ",0,"1/3*((b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 - 2*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) + 2)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b^3*d*log(F)^3)","A",0
285,1,84,0,0.625001," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^5,x, algorithm=""fricas"")","\frac{{\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) - 1\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, b^{2} d \log\left(F\right)^{2}}"," ",0,"1/3*((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) - 1)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b^2*d*log(F)^2)","A",0
286,1,47,0,0.899838," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^2,x, algorithm=""fricas"")","\frac{F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, b d \log\left(F\right)}"," ",0,"1/3*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)/(b*d*log(F))","A",0
287,1,44,0,0.707640," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c),x, algorithm=""fricas"")","\frac{F^{a} {\rm Ei}\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)}{3 \, d}"," ",0,"1/3*F^a*Ei((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))/d","B",0
288,1,147,0,0.809242," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^4,x, algorithm=""fricas"")","\frac{{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} F^{a} {\rm Ei}\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) \log\left(F\right) - F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{3 \, {\left(d^{4} x^{3} + 3 \, c d^{3} x^{2} + 3 \, c^{2} d^{2} x + c^{3} d\right)}}"," ",0,"1/3*((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*F^a*Ei((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*log(F) - F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a))/(d^4*x^3 + 3*c*d^3*x^2 + 3*c^2*d^2*x + c^3*d)","B",0
289,1,269,0,0.988717," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^7,x, algorithm=""fricas"")","\frac{{\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} F^{a} {\rm Ei}\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) \log\left(F\right)^{2} - {\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) + 1\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{6 \, {\left(d^{7} x^{6} + 6 \, c d^{6} x^{5} + 15 \, c^{2} d^{5} x^{4} + 20 \, c^{3} d^{4} x^{3} + 15 \, c^{4} d^{3} x^{2} + 6 \, c^{5} d^{2} x + c^{6} d\right)}}"," ",0,"1/6*((b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*F^a*Ei((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*log(F)^2 - ((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) + 1)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a))/(d^7*x^6 + 6*c*d^6*x^5 + 15*c^2*d^5*x^4 + 20*c^3*d^4*x^3 + 15*c^4*d^3*x^2 + 6*c^5*d^2*x + c^6*d)","B",0
290,1,431,0,0.859485," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^10,x, algorithm=""fricas"")","\frac{{\left(b^{3} d^{9} x^{9} + 9 \, b^{3} c d^{8} x^{8} + 36 \, b^{3} c^{2} d^{7} x^{7} + 84 \, b^{3} c^{3} d^{6} x^{6} + 126 \, b^{3} c^{4} d^{5} x^{5} + 126 \, b^{3} c^{5} d^{4} x^{4} + 84 \, b^{3} c^{6} d^{3} x^{3} + 36 \, b^{3} c^{7} d^{2} x^{2} + 9 \, b^{3} c^{8} d x + b^{3} c^{9}\right)} F^{a} {\rm Ei}\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) \log\left(F\right)^{3} - {\left({\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) + 2\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{18 \, {\left(d^{10} x^{9} + 9 \, c d^{9} x^{8} + 36 \, c^{2} d^{8} x^{7} + 84 \, c^{3} d^{7} x^{6} + 126 \, c^{4} d^{6} x^{5} + 126 \, c^{5} d^{5} x^{4} + 84 \, c^{6} d^{4} x^{3} + 36 \, c^{7} d^{3} x^{2} + 9 \, c^{8} d^{2} x + c^{9} d\right)}}"," ",0,"1/18*((b^3*d^9*x^9 + 9*b^3*c*d^8*x^8 + 36*b^3*c^2*d^7*x^7 + 84*b^3*c^3*d^6*x^6 + 126*b^3*c^4*d^5*x^5 + 126*b^3*c^5*d^4*x^4 + 84*b^3*c^6*d^3*x^3 + 36*b^3*c^7*d^2*x^2 + 9*b^3*c^8*d*x + b^3*c^9)*F^a*Ei((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*log(F)^3 - ((b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + (b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) + 2)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a))/(d^10*x^9 + 9*c*d^9*x^8 + 36*c^2*d^8*x^7 + 84*c^3*d^7*x^6 + 126*c^4*d^6*x^5 + 126*c^5*d^5*x^4 + 84*c^6*d^4*x^3 + 36*c^7*d^3*x^2 + 9*c^8*d^2*x + c^9*d)","B",0
291,1,636,0,0.684555," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^13,x, algorithm=""fricas"")","\frac{{\left(b^{4} d^{12} x^{12} + 12 \, b^{4} c d^{11} x^{11} + 66 \, b^{4} c^{2} d^{10} x^{10} + 220 \, b^{4} c^{3} d^{9} x^{9} + 495 \, b^{4} c^{4} d^{8} x^{8} + 792 \, b^{4} c^{5} d^{7} x^{7} + 924 \, b^{4} c^{6} d^{6} x^{6} + 792 \, b^{4} c^{7} d^{5} x^{5} + 495 \, b^{4} c^{8} d^{4} x^{4} + 220 \, b^{4} c^{9} d^{3} x^{3} + 66 \, b^{4} c^{10} d^{2} x^{2} + 12 \, b^{4} c^{11} d x + b^{4} c^{12}\right)} F^{a} {\rm Ei}\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) \log\left(F\right)^{4} - {\left({\left(b^{3} d^{9} x^{9} + 9 \, b^{3} c d^{8} x^{8} + 36 \, b^{3} c^{2} d^{7} x^{7} + 84 \, b^{3} c^{3} d^{6} x^{6} + 126 \, b^{3} c^{4} d^{5} x^{5} + 126 \, b^{3} c^{5} d^{4} x^{4} + 84 \, b^{3} c^{6} d^{3} x^{3} + 36 \, b^{3} c^{7} d^{2} x^{2} + 9 \, b^{3} c^{8} d x + b^{3} c^{9}\right)} \log\left(F\right)^{3} + {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + 2 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) + 6\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{72 \, {\left(d^{13} x^{12} + 12 \, c d^{12} x^{11} + 66 \, c^{2} d^{11} x^{10} + 220 \, c^{3} d^{10} x^{9} + 495 \, c^{4} d^{9} x^{8} + 792 \, c^{5} d^{8} x^{7} + 924 \, c^{6} d^{7} x^{6} + 792 \, c^{7} d^{6} x^{5} + 495 \, c^{8} d^{5} x^{4} + 220 \, c^{9} d^{4} x^{3} + 66 \, c^{10} d^{3} x^{2} + 12 \, c^{11} d^{2} x + c^{12} d\right)}}"," ",0,"1/72*((b^4*d^12*x^12 + 12*b^4*c*d^11*x^11 + 66*b^4*c^2*d^10*x^10 + 220*b^4*c^3*d^9*x^9 + 495*b^4*c^4*d^8*x^8 + 792*b^4*c^5*d^7*x^7 + 924*b^4*c^6*d^6*x^6 + 792*b^4*c^7*d^5*x^5 + 495*b^4*c^8*d^4*x^4 + 220*b^4*c^9*d^3*x^3 + 66*b^4*c^10*d^2*x^2 + 12*b^4*c^11*d*x + b^4*c^12)*F^a*Ei((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*log(F)^4 - ((b^3*d^9*x^9 + 9*b^3*c*d^8*x^8 + 36*b^3*c^2*d^7*x^7 + 84*b^3*c^3*d^6*x^6 + 126*b^3*c^4*d^5*x^5 + 126*b^3*c^5*d^4*x^4 + 84*b^3*c^6*d^3*x^3 + 36*b^3*c^7*d^2*x^2 + 9*b^3*c^8*d*x + b^3*c^9)*log(F)^3 + (b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + 2*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) + 6)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a))/(d^13*x^12 + 12*c*d^12*x^11 + 66*c^2*d^11*x^10 + 220*c^3*d^10*x^9 + 495*c^4*d^9*x^8 + 792*c^5*d^8*x^7 + 924*c^6*d^7*x^6 + 792*c^7*d^6*x^5 + 495*c^8*d^5*x^4 + 220*c^9*d^4*x^3 + 66*c^10*d^3*x^2 + 12*c^11*d^2*x + c^12*d)","B",0
292,1,883,0,0.700772," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^16,x, algorithm=""fricas"")","\frac{{\left(b^{5} d^{15} x^{15} + 15 \, b^{5} c d^{14} x^{14} + 105 \, b^{5} c^{2} d^{13} x^{13} + 455 \, b^{5} c^{3} d^{12} x^{12} + 1365 \, b^{5} c^{4} d^{11} x^{11} + 3003 \, b^{5} c^{5} d^{10} x^{10} + 5005 \, b^{5} c^{6} d^{9} x^{9} + 6435 \, b^{5} c^{7} d^{8} x^{8} + 6435 \, b^{5} c^{8} d^{7} x^{7} + 5005 \, b^{5} c^{9} d^{6} x^{6} + 3003 \, b^{5} c^{10} d^{5} x^{5} + 1365 \, b^{5} c^{11} d^{4} x^{4} + 455 \, b^{5} c^{12} d^{3} x^{3} + 105 \, b^{5} c^{13} d^{2} x^{2} + 15 \, b^{5} c^{14} d x + b^{5} c^{15}\right)} F^{a} {\rm Ei}\left({\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) \log\left(F\right)^{5} - {\left({\left(b^{4} d^{12} x^{12} + 12 \, b^{4} c d^{11} x^{11} + 66 \, b^{4} c^{2} d^{10} x^{10} + 220 \, b^{4} c^{3} d^{9} x^{9} + 495 \, b^{4} c^{4} d^{8} x^{8} + 792 \, b^{4} c^{5} d^{7} x^{7} + 924 \, b^{4} c^{6} d^{6} x^{6} + 792 \, b^{4} c^{7} d^{5} x^{5} + 495 \, b^{4} c^{8} d^{4} x^{4} + 220 \, b^{4} c^{9} d^{3} x^{3} + 66 \, b^{4} c^{10} d^{2} x^{2} + 12 \, b^{4} c^{11} d x + b^{4} c^{12}\right)} \log\left(F\right)^{4} + {\left(b^{3} d^{9} x^{9} + 9 \, b^{3} c d^{8} x^{8} + 36 \, b^{3} c^{2} d^{7} x^{7} + 84 \, b^{3} c^{3} d^{6} x^{6} + 126 \, b^{3} c^{4} d^{5} x^{5} + 126 \, b^{3} c^{5} d^{4} x^{4} + 84 \, b^{3} c^{6} d^{3} x^{3} + 36 \, b^{3} c^{7} d^{2} x^{2} + 9 \, b^{3} c^{8} d x + b^{3} c^{9}\right)} \log\left(F\right)^{3} + 2 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right) + 24\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{360 \, {\left(d^{16} x^{15} + 15 \, c d^{15} x^{14} + 105 \, c^{2} d^{14} x^{13} + 455 \, c^{3} d^{13} x^{12} + 1365 \, c^{4} d^{12} x^{11} + 3003 \, c^{5} d^{11} x^{10} + 5005 \, c^{6} d^{10} x^{9} + 6435 \, c^{7} d^{9} x^{8} + 6435 \, c^{8} d^{8} x^{7} + 5005 \, c^{9} d^{7} x^{6} + 3003 \, c^{10} d^{6} x^{5} + 1365 \, c^{11} d^{5} x^{4} + 455 \, c^{12} d^{4} x^{3} + 105 \, c^{13} d^{3} x^{2} + 15 \, c^{14} d^{2} x + c^{15} d\right)}}"," ",0,"1/360*((b^5*d^15*x^15 + 15*b^5*c*d^14*x^14 + 105*b^5*c^2*d^13*x^13 + 455*b^5*c^3*d^12*x^12 + 1365*b^5*c^4*d^11*x^11 + 3003*b^5*c^5*d^10*x^10 + 5005*b^5*c^6*d^9*x^9 + 6435*b^5*c^7*d^8*x^8 + 6435*b^5*c^8*d^7*x^7 + 5005*b^5*c^9*d^6*x^6 + 3003*b^5*c^10*d^5*x^5 + 1365*b^5*c^11*d^4*x^4 + 455*b^5*c^12*d^3*x^3 + 105*b^5*c^13*d^2*x^2 + 15*b^5*c^14*d*x + b^5*c^15)*F^a*Ei((b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*log(F)^5 - ((b^4*d^12*x^12 + 12*b^4*c*d^11*x^11 + 66*b^4*c^2*d^10*x^10 + 220*b^4*c^3*d^9*x^9 + 495*b^4*c^4*d^8*x^8 + 792*b^4*c^5*d^7*x^7 + 924*b^4*c^6*d^6*x^6 + 792*b^4*c^7*d^5*x^5 + 495*b^4*c^8*d^4*x^4 + 220*b^4*c^9*d^3*x^3 + 66*b^4*c^10*d^2*x^2 + 12*b^4*c^11*d*x + b^4*c^12)*log(F)^4 + (b^3*d^9*x^9 + 9*b^3*c*d^8*x^8 + 36*b^3*c^2*d^7*x^7 + 84*b^3*c^3*d^6*x^6 + 126*b^3*c^4*d^5*x^5 + 126*b^3*c^5*d^4*x^4 + 84*b^3*c^6*d^3*x^3 + 36*b^3*c^7*d^2*x^2 + 9*b^3*c^8*d*x + b^3*c^9)*log(F)^3 + 2*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + 6*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F) + 24)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a))/(d^16*x^15 + 15*c*d^15*x^14 + 105*c^2*d^14*x^13 + 455*c^3*d^13*x^12 + 1365*c^4*d^12*x^11 + 3003*c^5*d^11*x^10 + 5005*c^6*d^10*x^9 + 6435*c^7*d^9*x^8 + 6435*c^8*d^8*x^7 + 5005*c^9*d^7*x^6 + 3003*c^10*d^6*x^5 + 1365*c^11*d^5*x^4 + 455*c^12*d^4*x^3 + 105*c^13*d^3*x^2 + 15*c^14*d^2*x + c^15*d)","B",0
293,1,118,0,1.008768," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c)^3,x, algorithm=""fricas"")","\frac{3 \, {\left(b d^{3} x + b c d^{2}\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a} \log\left(F\right) - \left(-b d^{3} \log\left(F\right)\right)^{\frac{2}{3}} F^{a} \Gamma\left(\frac{1}{3}, -{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)}{9 \, b^{2} d^{3} \log\left(F\right)^{2}}"," ",0,"1/9*(3*(b*d^3*x + b*c*d^2)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)*log(F) - (-b*d^3*log(F))^(2/3)*F^a*gamma(1/3, -(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F)))/(b^2*d^3*log(F)^2)","B",0
294,1,63,0,0.685798," ","integrate(F^(a+b*(d*x+c)^3)*(d*x+c),x, algorithm=""fricas"")","\frac{\left(-b d^{3} \log\left(F\right)\right)^{\frac{1}{3}} F^{a} \Gamma\left(\frac{2}{3}, -{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)}{3 \, b d^{2} \log\left(F\right)}"," ",0,"1/3*(-b*d^3*log(F))^(1/3)*F^a*gamma(2/3, -(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))/(b*d^2*log(F))","A",0
295,1,63,0,0.872803," ","integrate(F^(a+b*(d*x+c)^3),x, algorithm=""fricas"")","\frac{\left(-b d^{3} \log\left(F\right)\right)^{\frac{2}{3}} F^{a} \Gamma\left(\frac{1}{3}, -{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)}{3 \, b d^{3} \log\left(F\right)}"," ",0,"1/3*(-b*d^3*log(F))^(2/3)*F^a*gamma(1/3, -(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))/(b*d^3*log(F))","A",0
296,1,110,0,0.989682," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^2,x, algorithm=""fricas"")","\frac{\left(-b d^{3} \log\left(F\right)\right)^{\frac{1}{3}} {\left(d x + c\right)} F^{a} \Gamma\left(\frac{2}{3}, -{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) - F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a} d}{d^{3} x + c d^{2}}"," ",0,"((-b*d^3*log(F))^(1/3)*(d*x + c)*F^a*gamma(2/3, -(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F)) - F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)*d)/(d^3*x + c*d^2)","B",0
297,1,135,0,0.795687," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^3,x, algorithm=""fricas"")","\frac{\left(-b d^{3} \log\left(F\right)\right)^{\frac{2}{3}} {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} F^{a} \Gamma\left(\frac{1}{3}, -{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) - F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a} d^{2}}{2 \, {\left(d^{5} x^{2} + 2 \, c d^{4} x + c^{2} d^{3}\right)}}"," ",0,"1/2*((-b*d^3*log(F))^(2/3)*(d^2*x^2 + 2*c*d*x + c^2)*F^a*gamma(1/3, -(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F)) - F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a)*d^2)/(d^5*x^2 + 2*c*d^4*x + c^2*d^3)","B",0
298,1,226,0,0.678354," ","integrate(F^(a+b*(d*x+c)^3)/(d*x+c)^5,x, algorithm=""fricas"")","\frac{3 \, {\left(b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4}\right)} \left(-b d^{3} \log\left(F\right)\right)^{\frac{1}{3}} F^{a} \Gamma\left(\frac{2}{3}, -{\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right) \log\left(F\right) - {\left(3 \, {\left(b d^{4} x^{3} + 3 \, b c d^{3} x^{2} + 3 \, b c^{2} d^{2} x + b c^{3} d\right)} \log\left(F\right) + d\right)} F^{b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3} + a}}{4 \, {\left(d^{6} x^{4} + 4 \, c d^{5} x^{3} + 6 \, c^{2} d^{4} x^{2} + 4 \, c^{3} d^{3} x + c^{4} d^{2}\right)}}"," ",0,"1/4*(3*(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4)*(-b*d^3*log(F))^(1/3)*F^a*gamma(2/3, -(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*log(F) - (3*(b*d^4*x^3 + 3*b*c*d^3*x^2 + 3*b*c^2*d^2*x + b*c^3*d)*log(F) + d)*F^(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3 + a))/(d^6*x^4 + 4*c*d^5*x^3 + 6*c^2*d^4*x^2 + 4*c^3*d^3*x + c^4*d^2)","B",0
299,1,42,0,0.500909," ","integrate(f^(a+b*(d*x+c)^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left(\sqrt{d x + c} b \log\left(f\right) - 1\right)} e^{\left(\sqrt{d x + c} b \log\left(f\right) + a \log\left(f\right)\right)}}{b^{2} d \log\left(f\right)^{2}}"," ",0,"2*(sqrt(d*x + c)*b*log(f) - 1)*e^(sqrt(d*x + c)*b*log(f) + a*log(f))/(b^2*d*log(f)^2)","A",0
300,1,58,0,0.653843," ","integrate(f^(a+b*(d*x+c)^(1/3)),x, algorithm=""fricas"")","\frac{3 \, {\left({\left(d x + c\right)}^{\frac{2}{3}} b^{2} \log\left(f\right)^{2} - 2 \, {\left(d x + c\right)}^{\frac{1}{3}} b \log\left(f\right) + 2\right)} e^{\left({\left(d x + c\right)}^{\frac{1}{3}} b \log\left(f\right) + a \log\left(f\right)\right)}}{b^{3} d \log\left(f\right)^{3}}"," ",0,"3*((d*x + c)^(2/3)*b^2*log(f)^2 - 2*(d*x + c)^(1/3)*b*log(f) + 2)*e^((d*x + c)^(1/3)*b*log(f) + a*log(f))/(b^3*d*log(f)^3)","A",0
301,0,0,0,0.743335," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x + c\right)}^{m} F^{\frac{a d x + a c + b}{d x + c}}, x\right)"," ",0,"integral((d*x + c)^m*F^((a*d*x + a*c + b)/(d*x + c)), x)","F",0
302,1,244,0,0.604099," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^4,x, algorithm=""fricas"")","-\frac{F^{a} b^{5} {\rm Ei}\left(\frac{b \log\left(F\right)}{d x + c}\right) \log\left(F\right)^{5} - {\left(24 \, d^{5} x^{5} + 120 \, c d^{4} x^{4} + 240 \, c^{2} d^{3} x^{3} + 240 \, c^{3} d^{2} x^{2} + 120 \, c^{4} d x + 24 \, c^{5} + {\left(b^{4} d x + b^{4} c\right)} \log\left(F\right)^{4} + {\left(b^{3} d^{2} x^{2} + 2 \, b^{3} c d x + b^{3} c^{2}\right)} \log\left(F\right)^{3} + 2 \, {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4}\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{120 \, d}"," ",0,"-1/120*(F^a*b^5*Ei(b*log(F)/(d*x + c))*log(F)^5 - (24*d^5*x^5 + 120*c*d^4*x^4 + 240*c^2*d^3*x^3 + 240*c^3*d^2*x^2 + 120*c^4*d*x + 24*c^5 + (b^4*d*x + b^4*c)*log(F)^4 + (b^3*d^2*x^2 + 2*b^3*c*d*x + b^3*c^2)*log(F)^3 + 2*(b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3)*log(F)^2 + 6*(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4)*log(F))*F^((a*d*x + a*c + b)/(d*x + c)))/d","B",0
303,1,175,0,1.023737," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^3,x, algorithm=""fricas"")","-\frac{F^{a} b^{4} {\rm Ei}\left(\frac{b \log\left(F\right)}{d x + c}\right) \log\left(F\right)^{4} - {\left(6 \, d^{4} x^{4} + 24 \, c d^{3} x^{3} + 36 \, c^{2} d^{2} x^{2} + 24 \, c^{3} d x + 6 \, c^{4} + {\left(b^{3} d x + b^{3} c\right)} \log\left(F\right)^{3} + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(F\right)^{2} + 2 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{24 \, d}"," ",0,"-1/24*(F^a*b^4*Ei(b*log(F)/(d*x + c))*log(F)^4 - (6*d^4*x^4 + 24*c*d^3*x^3 + 36*c^2*d^2*x^2 + 24*c^3*d*x + 6*c^4 + (b^3*d*x + b^3*c)*log(F)^3 + (b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(F)^2 + 2*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*F^((a*d*x + a*c + b)/(d*x + c)))/d","B",0
304,1,120,0,0.655157," ","integrate(F^(a+b/(d*x+c))*(d*x+c)^2,x, algorithm=""fricas"")","-\frac{F^{a} b^{3} {\rm Ei}\left(\frac{b \log\left(F\right)}{d x + c}\right) \log\left(F\right)^{3} - {\left(2 \, d^{3} x^{3} + 6 \, c d^{2} x^{2} + 6 \, c^{2} d x + 2 \, c^{3} + {\left(b^{2} d x + b^{2} c\right)} \log\left(F\right)^{2} + {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{6 \, d}"," ",0,"-1/6*(F^a*b^3*Ei(b*log(F)/(d*x + c))*log(F)^3 - (2*d^3*x^3 + 6*c*d^2*x^2 + 6*c^2*d*x + 2*c^3 + (b^2*d*x + b^2*c)*log(F)^2 + (b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*F^((a*d*x + a*c + b)/(d*x + c)))/d","A",0
305,1,77,0,1.087289," ","integrate(F^(a+b/(d*x+c))*(d*x+c),x, algorithm=""fricas"")","-\frac{F^{a} b^{2} {\rm Ei}\left(\frac{b \log\left(F\right)}{d x + c}\right) \log\left(F\right)^{2} - {\left(d^{2} x^{2} + 2 \, c d x + c^{2} + {\left(b d x + b c\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{2 \, d}"," ",0,"-1/2*(F^a*b^2*Ei(b*log(F)/(d*x + c))*log(F)^2 - (d^2*x^2 + 2*c*d*x + c^2 + (b*d*x + b*c)*log(F))*F^((a*d*x + a*c + b)/(d*x + c)))/d","A",0
306,1,51,0,0.704141," ","integrate(F^(a+b/(d*x+c)),x, algorithm=""fricas"")","-\frac{F^{a} b {\rm Ei}\left(\frac{b \log\left(F\right)}{d x + c}\right) \log\left(F\right) - {\left(d x + c\right)} F^{\frac{a d x + a c + b}{d x + c}}}{d}"," ",0,"-(F^a*b*Ei(b*log(F)/(d*x + c))*log(F) - (d*x + c)*F^((a*d*x + a*c + b)/(d*x + c)))/d","A",0
307,1,20,0,0.468113," ","integrate(F^(a+b/(d*x+c))/(d*x+c),x, algorithm=""fricas"")","-\frac{F^{a} {\rm Ei}\left(\frac{b \log\left(F\right)}{d x + c}\right)}{d}"," ",0,"-F^a*Ei(b*log(F)/(d*x + c))/d","A",0
308,1,31,0,0.472033," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^2,x, algorithm=""fricas"")","-\frac{F^{\frac{a d x + a c + b}{d x + c}}}{b d \log\left(F\right)}"," ",0,"-F^((a*d*x + a*c + b)/(d*x + c))/(b*d*log(F))","A",0
309,1,51,0,0.454974," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^3,x, algorithm=""fricas"")","\frac{{\left(d x - b \log\left(F\right) + c\right)} F^{\frac{a d x + a c + b}{d x + c}}}{{\left(b^{2} d^{2} x + b^{2} c d\right)} \log\left(F\right)^{2}}"," ",0,"(d*x - b*log(F) + c)*F^((a*d*x + a*c + b)/(d*x + c))/((b^2*d^2*x + b^2*c*d)*log(F)^2)","A",0
310,1,95,0,0.457210," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^4,x, algorithm=""fricas"")","-\frac{{\left(2 \, d^{2} x^{2} + b^{2} \log\left(F\right)^{2} + 4 \, c d x + 2 \, c^{2} - 2 \, {\left(b d x + b c\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{{\left(b^{3} d^{3} x^{2} + 2 \, b^{3} c d^{2} x + b^{3} c^{2} d\right)} \log\left(F\right)^{3}}"," ",0,"-(2*d^2*x^2 + b^2*log(F)^2 + 4*c*d*x + 2*c^2 - 2*(b*d*x + b*c)*log(F))*F^((a*d*x + a*c + b)/(d*x + c))/((b^3*d^3*x^2 + 2*b^3*c*d^2*x + b^3*c^2*d)*log(F)^3)","A",0
311,1,150,0,0.464276," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^5,x, algorithm=""fricas"")","\frac{{\left(6 \, d^{3} x^{3} - b^{3} \log\left(F\right)^{3} + 18 \, c d^{2} x^{2} + 18 \, c^{2} d x + 6 \, c^{3} + 3 \, {\left(b^{2} d x + b^{2} c\right)} \log\left(F\right)^{2} - 6 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{{\left(b^{4} d^{4} x^{3} + 3 \, b^{4} c d^{3} x^{2} + 3 \, b^{4} c^{2} d^{2} x + b^{4} c^{3} d\right)} \log\left(F\right)^{4}}"," ",0,"(6*d^3*x^3 - b^3*log(F)^3 + 18*c*d^2*x^2 + 18*c^2*d*x + 6*c^3 + 3*(b^2*d*x + b^2*c)*log(F)^2 - 6*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*F^((a*d*x + a*c + b)/(d*x + c))/((b^4*d^4*x^3 + 3*b^4*c*d^3*x^2 + 3*b^4*c^2*d^2*x + b^4*c^3*d)*log(F)^4)","A",0
312,1,219,0,0.507925," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^6,x, algorithm=""fricas"")","-\frac{{\left(24 \, d^{4} x^{4} + b^{4} \log\left(F\right)^{4} + 96 \, c d^{3} x^{3} + 144 \, c^{2} d^{2} x^{2} + 96 \, c^{3} d x + 24 \, c^{4} - 4 \, {\left(b^{3} d x + b^{3} c\right)} \log\left(F\right)^{3} + 12 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(F\right)^{2} - 24 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{{\left(b^{5} d^{5} x^{4} + 4 \, b^{5} c d^{4} x^{3} + 6 \, b^{5} c^{2} d^{3} x^{2} + 4 \, b^{5} c^{3} d^{2} x + b^{5} c^{4} d\right)} \log\left(F\right)^{5}}"," ",0,"-(24*d^4*x^4 + b^4*log(F)^4 + 96*c*d^3*x^3 + 144*c^2*d^2*x^2 + 96*c^3*d*x + 24*c^4 - 4*(b^3*d*x + b^3*c)*log(F)^3 + 12*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(F)^2 - 24*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*F^((a*d*x + a*c + b)/(d*x + c))/((b^5*d^5*x^4 + 4*b^5*c*d^4*x^3 + 6*b^5*c^2*d^3*x^2 + 4*b^5*c^3*d^2*x + b^5*c^4*d)*log(F)^5)","B",0
313,1,302,0,0.476298," ","integrate(F^(a+b/(d*x+c))/(d*x+c)^7,x, algorithm=""fricas"")","\frac{{\left(120 \, d^{5} x^{5} - b^{5} \log\left(F\right)^{5} + 600 \, c d^{4} x^{4} + 1200 \, c^{2} d^{3} x^{3} + 1200 \, c^{3} d^{2} x^{2} + 600 \, c^{4} d x + 120 \, c^{5} + 5 \, {\left(b^{4} d x + b^{4} c\right)} \log\left(F\right)^{4} - 20 \, {\left(b^{3} d^{2} x^{2} + 2 \, b^{3} c d x + b^{3} c^{2}\right)} \log\left(F\right)^{3} + 60 \, {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3}\right)} \log\left(F\right)^{2} - 120 \, {\left(b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4}\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{{\left(b^{6} d^{6} x^{5} + 5 \, b^{6} c d^{5} x^{4} + 10 \, b^{6} c^{2} d^{4} x^{3} + 10 \, b^{6} c^{3} d^{3} x^{2} + 5 \, b^{6} c^{4} d^{2} x + b^{6} c^{5} d\right)} \log\left(F\right)^{6}}"," ",0,"(120*d^5*x^5 - b^5*log(F)^5 + 600*c*d^4*x^4 + 1200*c^2*d^3*x^3 + 1200*c^3*d^2*x^2 + 600*c^4*d*x + 120*c^5 + 5*(b^4*d*x + b^4*c)*log(F)^4 - 20*(b^3*d^2*x^2 + 2*b^3*c*d*x + b^3*c^2)*log(F)^3 + 60*(b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3)*log(F)^2 - 120*(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4)*log(F))*F^((a*d*x + a*c + b)/(d*x + c))/((b^6*d^6*x^5 + 5*b^6*c*d^5*x^4 + 10*b^6*c^2*d^4*x^3 + 10*b^6*c^3*d^3*x^2 + 5*b^6*c^4*d^2*x + b^6*c^5*d)*log(F)^6)","B",0
314,0,0,0,0.482265," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x + c\right)}^{m} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}, x\right)"," ",0,"integral((d*x + c)^m*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)), x)","F",0
315,1,465,0,0.521522," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^9,x, algorithm=""fricas"")","-\frac{F^{a} b^{5} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) \log\left(F\right)^{5} - {\left(24 \, d^{10} x^{10} + 240 \, c d^{9} x^{9} + 1080 \, c^{2} d^{8} x^{8} + 2880 \, c^{3} d^{7} x^{7} + 5040 \, c^{4} d^{6} x^{6} + 6048 \, c^{5} d^{5} x^{5} + 5040 \, c^{6} d^{4} x^{4} + 2880 \, c^{7} d^{3} x^{3} + 1080 \, c^{8} d^{2} x^{2} + 240 \, c^{9} d x + 24 \, c^{10} + {\left(b^{4} d^{2} x^{2} + 2 \, b^{4} c d x + b^{4} c^{2}\right)} \log\left(F\right)^{4} + {\left(b^{3} d^{4} x^{4} + 4 \, b^{3} c d^{3} x^{3} + 6 \, b^{3} c^{2} d^{2} x^{2} + 4 \, b^{3} c^{3} d x + b^{3} c^{4}\right)} \log\left(F\right)^{3} + 2 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{8} x^{8} + 8 \, b c d^{7} x^{7} + 28 \, b c^{2} d^{6} x^{6} + 56 \, b c^{3} d^{5} x^{5} + 70 \, b c^{4} d^{4} x^{4} + 56 \, b c^{5} d^{3} x^{3} + 28 \, b c^{6} d^{2} x^{2} + 8 \, b c^{7} d x + b c^{8}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{240 \, d}"," ",0,"-1/240*(F^a*b^5*Ei(b*log(F)/(d^2*x^2 + 2*c*d*x + c^2))*log(F)^5 - (24*d^10*x^10 + 240*c*d^9*x^9 + 1080*c^2*d^8*x^8 + 2880*c^3*d^7*x^7 + 5040*c^4*d^6*x^6 + 6048*c^5*d^5*x^5 + 5040*c^6*d^4*x^4 + 2880*c^7*d^3*x^3 + 1080*c^8*d^2*x^2 + 240*c^9*d*x + 24*c^10 + (b^4*d^2*x^2 + 2*b^4*c*d*x + b^4*c^2)*log(F)^4 + (b^3*d^4*x^4 + 4*b^3*c*d^3*x^3 + 6*b^3*c^2*d^2*x^2 + 4*b^3*c^3*d*x + b^3*c^4)*log(F)^3 + 2*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + 6*(b*d^8*x^8 + 8*b*c*d^7*x^7 + 28*b*c^2*d^6*x^6 + 56*b*c^3*d^5*x^5 + 70*b*c^4*d^4*x^4 + 56*b*c^5*d^3*x^3 + 28*b*c^6*d^2*x^2 + 8*b*c^7*d*x + b*c^8)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","B",0
316,1,331,0,0.485158," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^7,x, algorithm=""fricas"")","-\frac{F^{a} b^{4} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) \log\left(F\right)^{4} - {\left(6 \, d^{8} x^{8} + 48 \, c d^{7} x^{7} + 168 \, c^{2} d^{6} x^{6} + 336 \, c^{3} d^{5} x^{5} + 420 \, c^{4} d^{4} x^{4} + 336 \, c^{5} d^{3} x^{3} + 168 \, c^{6} d^{2} x^{2} + 48 \, c^{7} d x + 6 \, c^{8} + {\left(b^{3} d^{2} x^{2} + 2 \, b^{3} c d x + b^{3} c^{2}\right)} \log\left(F\right)^{3} + {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} + 2 \, {\left(b d^{6} x^{6} + 6 \, b c d^{5} x^{5} + 15 \, b c^{2} d^{4} x^{4} + 20 \, b c^{3} d^{3} x^{3} + 15 \, b c^{4} d^{2} x^{2} + 6 \, b c^{5} d x + b c^{6}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{48 \, d}"," ",0,"-1/48*(F^a*b^4*Ei(b*log(F)/(d^2*x^2 + 2*c*d*x + c^2))*log(F)^4 - (6*d^8*x^8 + 48*c*d^7*x^7 + 168*c^2*d^6*x^6 + 336*c^3*d^5*x^5 + 420*c^4*d^4*x^4 + 336*c^5*d^3*x^3 + 168*c^6*d^2*x^2 + 48*c^7*d*x + 6*c^8 + (b^3*d^2*x^2 + 2*b^3*c*d*x + b^3*c^2)*log(F)^3 + (b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 + 2*(b*d^6*x^6 + 6*b*c*d^5*x^5 + 15*b*c^2*d^4*x^4 + 20*b*c^3*d^3*x^3 + 15*b*c^4*d^2*x^2 + 6*b*c^5*d*x + b*c^6)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","B",0
317,1,225,0,0.499682," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^5,x, algorithm=""fricas"")","-\frac{F^{a} b^{3} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) \log\left(F\right)^{3} - {\left(2 \, d^{6} x^{6} + 12 \, c d^{5} x^{5} + 30 \, c^{2} d^{4} x^{4} + 40 \, c^{3} d^{3} x^{3} + 30 \, c^{4} d^{2} x^{2} + 12 \, c^{5} d x + 2 \, c^{6} + {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(F\right)^{2} + {\left(b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{12 \, d}"," ",0,"-1/12*(F^a*b^3*Ei(b*log(F)/(d^2*x^2 + 2*c*d*x + c^2))*log(F)^3 - (2*d^6*x^6 + 12*c*d^5*x^5 + 30*c^2*d^4*x^4 + 40*c^3*d^3*x^3 + 30*c^4*d^2*x^2 + 12*c^5*d*x + 2*c^6 + (b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(F)^2 + (b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
318,1,145,0,0.505011," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^3,x, algorithm=""fricas"")","-\frac{F^{a} b^{2} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) \log\left(F\right)^{2} - {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4} + {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{4 \, d}"," ",0,"-1/4*(F^a*b^2*Ei(b*log(F)/(d^2*x^2 + 2*c*d*x + c^2))*log(F)^2 - (d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4 + (b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
319,1,96,0,0.476380," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c),x, algorithm=""fricas"")","-\frac{F^{a} b {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) \log\left(F\right) - {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, d}"," ",0,"-1/2*(F^a*b*Ei(b*log(F)/(d^2*x^2 + 2*c*d*x + c^2))*log(F) - (d^2*x^2 + 2*c*d*x + c^2)*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
320,1,31,0,0.456882," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c),x, algorithm=""fricas"")","-\frac{F^{a} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}{2 \, d}"," ",0,"-1/2*F^a*Ei(b*log(F)/(d^2*x^2 + 2*c*d*x + c^2))/d","A",0
321,1,54,0,0.474270," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^3,x, algorithm=""fricas"")","-\frac{F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, b d \log\left(F\right)}"," ",0,"-1/2*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))/(b*d*log(F))","B",0
322,1,100,0,0.468304," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^5,x, algorithm=""fricas"")","\frac{{\left(d^{2} x^{2} + 2 \, c d x + c^{2} - b \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{2} d^{3} x^{2} + 2 \, b^{2} c d^{2} x + b^{2} c^{2} d\right)} \log\left(F\right)^{2}}"," ",0,"1/2*(d^2*x^2 + 2*c*d*x + c^2 - b*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))/((b^2*d^3*x^2 + 2*b^2*c*d^2*x + b^2*c^2*d)*log(F)^2)","A",0
323,1,180,0,0.456977," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^7,x, algorithm=""fricas"")","-\frac{{\left(2 \, d^{4} x^{4} + 8 \, c d^{3} x^{3} + 12 \, c^{2} d^{2} x^{2} + 8 \, c^{3} d x + 2 \, c^{4} + b^{2} \log\left(F\right)^{2} - 2 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{3} d^{5} x^{4} + 4 \, b^{3} c d^{4} x^{3} + 6 \, b^{3} c^{2} d^{3} x^{2} + 4 \, b^{3} c^{3} d^{2} x + b^{3} c^{4} d\right)} \log\left(F\right)^{3}}"," ",0,"-1/2*(2*d^4*x^4 + 8*c*d^3*x^3 + 12*c^2*d^2*x^2 + 8*c^3*d*x + 2*c^4 + b^2*log(F)^2 - 2*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))/((b^3*d^5*x^4 + 4*b^3*c*d^4*x^3 + 6*b^3*c^2*d^3*x^2 + 4*b^3*c^3*d^2*x + b^3*c^4*d)*log(F)^3)","B",0
324,1,287,0,0.467465," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^9,x, algorithm=""fricas"")","\frac{{\left(6 \, d^{6} x^{6} + 36 \, c d^{5} x^{5} + 90 \, c^{2} d^{4} x^{4} + 120 \, c^{3} d^{3} x^{3} + 90 \, c^{4} d^{2} x^{2} + 36 \, c^{5} d x + 6 \, c^{6} - b^{3} \log\left(F\right)^{3} + 3 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(F\right)^{2} - 6 \, {\left(b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{4} d^{7} x^{6} + 6 \, b^{4} c d^{6} x^{5} + 15 \, b^{4} c^{2} d^{5} x^{4} + 20 \, b^{4} c^{3} d^{4} x^{3} + 15 \, b^{4} c^{4} d^{3} x^{2} + 6 \, b^{4} c^{5} d^{2} x + b^{4} c^{6} d\right)} \log\left(F\right)^{4}}"," ",0,"1/2*(6*d^6*x^6 + 36*c*d^5*x^5 + 90*c^2*d^4*x^4 + 120*c^3*d^3*x^3 + 90*c^4*d^2*x^2 + 36*c^5*d*x + 6*c^6 - b^3*log(F)^3 + 3*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(F)^2 - 6*(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))/((b^4*d^7*x^6 + 6*b^4*c*d^6*x^5 + 15*b^4*c^2*d^5*x^4 + 20*b^4*c^3*d^4*x^3 + 15*b^4*c^4*d^3*x^2 + 6*b^4*c^5*d^2*x + b^4*c^6*d)*log(F)^4)","B",0
325,1,420,0,0.471632," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^11,x, algorithm=""fricas"")","-\frac{{\left(24 \, d^{8} x^{8} + 192 \, c d^{7} x^{7} + 672 \, c^{2} d^{6} x^{6} + 1344 \, c^{3} d^{5} x^{5} + 1680 \, c^{4} d^{4} x^{4} + 1344 \, c^{5} d^{3} x^{3} + 672 \, c^{6} d^{2} x^{2} + 192 \, c^{7} d x + 24 \, c^{8} + b^{4} \log\left(F\right)^{4} - 4 \, {\left(b^{3} d^{2} x^{2} + 2 \, b^{3} c d x + b^{3} c^{2}\right)} \log\left(F\right)^{3} + 12 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} - 24 \, {\left(b d^{6} x^{6} + 6 \, b c d^{5} x^{5} + 15 \, b c^{2} d^{4} x^{4} + 20 \, b c^{3} d^{3} x^{3} + 15 \, b c^{4} d^{2} x^{2} + 6 \, b c^{5} d x + b c^{6}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{5} d^{9} x^{8} + 8 \, b^{5} c d^{8} x^{7} + 28 \, b^{5} c^{2} d^{7} x^{6} + 56 \, b^{5} c^{3} d^{6} x^{5} + 70 \, b^{5} c^{4} d^{5} x^{4} + 56 \, b^{5} c^{5} d^{4} x^{3} + 28 \, b^{5} c^{6} d^{3} x^{2} + 8 \, b^{5} c^{7} d^{2} x + b^{5} c^{8} d\right)} \log\left(F\right)^{5}}"," ",0,"-1/2*(24*d^8*x^8 + 192*c*d^7*x^7 + 672*c^2*d^6*x^6 + 1344*c^3*d^5*x^5 + 1680*c^4*d^4*x^4 + 1344*c^5*d^3*x^3 + 672*c^6*d^2*x^2 + 192*c^7*d*x + 24*c^8 + b^4*log(F)^4 - 4*(b^3*d^2*x^2 + 2*b^3*c*d*x + b^3*c^2)*log(F)^3 + 12*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 - 24*(b*d^6*x^6 + 6*b*c*d^5*x^5 + 15*b*c^2*d^4*x^4 + 20*b*c^3*d^3*x^3 + 15*b*c^4*d^2*x^2 + 6*b*c^5*d*x + b*c^6)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))/((b^5*d^9*x^8 + 8*b^5*c*d^8*x^7 + 28*b^5*c^2*d^7*x^6 + 56*b^5*c^3*d^6*x^5 + 70*b^5*c^4*d^5*x^4 + 56*b^5*c^5*d^4*x^3 + 28*b^5*c^6*d^3*x^2 + 8*b^5*c^7*d^2*x + b^5*c^8*d)*log(F)^5)","B",0
326,1,583,0,0.492925," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^13,x, algorithm=""fricas"")","\frac{{\left(120 \, d^{10} x^{10} + 1200 \, c d^{9} x^{9} + 5400 \, c^{2} d^{8} x^{8} + 14400 \, c^{3} d^{7} x^{7} + 25200 \, c^{4} d^{6} x^{6} + 30240 \, c^{5} d^{5} x^{5} + 25200 \, c^{6} d^{4} x^{4} + 14400 \, c^{7} d^{3} x^{3} + 5400 \, c^{8} d^{2} x^{2} + 1200 \, c^{9} d x + 120 \, c^{10} - b^{5} \log\left(F\right)^{5} + 5 \, {\left(b^{4} d^{2} x^{2} + 2 \, b^{4} c d x + b^{4} c^{2}\right)} \log\left(F\right)^{4} - 20 \, {\left(b^{3} d^{4} x^{4} + 4 \, b^{3} c d^{3} x^{3} + 6 \, b^{3} c^{2} d^{2} x^{2} + 4 \, b^{3} c^{3} d x + b^{3} c^{4}\right)} \log\left(F\right)^{3} + 60 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} - 120 \, {\left(b d^{8} x^{8} + 8 \, b c d^{7} x^{7} + 28 \, b c^{2} d^{6} x^{6} + 56 \, b c^{3} d^{5} x^{5} + 70 \, b c^{4} d^{4} x^{4} + 56 \, b c^{5} d^{3} x^{3} + 28 \, b c^{6} d^{2} x^{2} + 8 \, b c^{7} d x + b c^{8}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{2 \, {\left(b^{6} d^{11} x^{10} + 10 \, b^{6} c d^{10} x^{9} + 45 \, b^{6} c^{2} d^{9} x^{8} + 120 \, b^{6} c^{3} d^{8} x^{7} + 210 \, b^{6} c^{4} d^{7} x^{6} + 252 \, b^{6} c^{5} d^{6} x^{5} + 210 \, b^{6} c^{6} d^{5} x^{4} + 120 \, b^{6} c^{7} d^{4} x^{3} + 45 \, b^{6} c^{8} d^{3} x^{2} + 10 \, b^{6} c^{9} d^{2} x + b^{6} c^{10} d\right)} \log\left(F\right)^{6}}"," ",0,"1/2*(120*d^10*x^10 + 1200*c*d^9*x^9 + 5400*c^2*d^8*x^8 + 14400*c^3*d^7*x^7 + 25200*c^4*d^6*x^6 + 30240*c^5*d^5*x^5 + 25200*c^6*d^4*x^4 + 14400*c^7*d^3*x^3 + 5400*c^8*d^2*x^2 + 1200*c^9*d*x + 120*c^10 - b^5*log(F)^5 + 5*(b^4*d^2*x^2 + 2*b^4*c*d*x + b^4*c^2)*log(F)^4 - 20*(b^3*d^4*x^4 + 4*b^3*c*d^3*x^3 + 6*b^3*c^2*d^2*x^2 + 4*b^3*c^3*d*x + b^3*c^4)*log(F)^3 + 60*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 - 120*(b*d^8*x^8 + 8*b*c*d^7*x^7 + 28*b*c^2*d^6*x^6 + 56*b*c^3*d^5*x^5 + 70*b*c^4*d^4*x^4 + 56*b*c^5*d^3*x^3 + 28*b*c^6*d^2*x^2 + 8*b*c^7*d*x + b*c^8)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))/((b^6*d^11*x^10 + 10*b^6*c*d^10*x^9 + 45*b^6*c^2*d^9*x^8 + 120*b^6*c^3*d^8*x^7 + 210*b^6*c^4*d^7*x^6 + 252*b^6*c^5*d^6*x^5 + 210*b^6*c^6*d^5*x^4 + 120*b^6*c^7*d^4*x^3 + 45*b^6*c^8*d^3*x^2 + 10*b^6*c^9*d^2*x + b^6*c^10*d)*log(F)^6)","B",0
327,1,561,0,0.476073," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^10,x, algorithm=""fricas"")","\frac{32 \, \sqrt{\pi} F^{a} b^{5} d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) \log\left(F\right)^{5} + {\left(945 \, d^{11} x^{11} + 10395 \, c d^{10} x^{10} + 51975 \, c^{2} d^{9} x^{9} + 155925 \, c^{3} d^{8} x^{8} + 311850 \, c^{4} d^{7} x^{7} + 436590 \, c^{5} d^{6} x^{6} + 436590 \, c^{6} d^{5} x^{5} + 311850 \, c^{7} d^{4} x^{4} + 155925 \, c^{8} d^{3} x^{3} + 51975 \, c^{9} d^{2} x^{2} + 10395 \, c^{10} d x + 945 \, c^{11} + 32 \, {\left(b^{5} d x + b^{5} c\right)} \log\left(F\right)^{5} + 16 \, {\left(b^{4} d^{3} x^{3} + 3 \, b^{4} c d^{2} x^{2} + 3 \, b^{4} c^{2} d x + b^{4} c^{3}\right)} \log\left(F\right)^{4} + 24 \, {\left(b^{3} d^{5} x^{5} + 5 \, b^{3} c d^{4} x^{4} + 10 \, b^{3} c^{2} d^{3} x^{3} + 10 \, b^{3} c^{3} d^{2} x^{2} + 5 \, b^{3} c^{4} d x + b^{3} c^{5}\right)} \log\left(F\right)^{3} + 60 \, {\left(b^{2} d^{7} x^{7} + 7 \, b^{2} c d^{6} x^{6} + 21 \, b^{2} c^{2} d^{5} x^{5} + 35 \, b^{2} c^{3} d^{4} x^{4} + 35 \, b^{2} c^{4} d^{3} x^{3} + 21 \, b^{2} c^{5} d^{2} x^{2} + 7 \, b^{2} c^{6} d x + b^{2} c^{7}\right)} \log\left(F\right)^{2} + 210 \, {\left(b d^{9} x^{9} + 9 \, b c d^{8} x^{8} + 36 \, b c^{2} d^{7} x^{7} + 84 \, b c^{3} d^{6} x^{6} + 126 \, b c^{4} d^{5} x^{5} + 126 \, b c^{5} d^{4} x^{4} + 84 \, b c^{6} d^{3} x^{3} + 36 \, b c^{7} d^{2} x^{2} + 9 \, b c^{8} d x + b c^{9}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{10395 \, d}"," ",0,"1/10395*(32*sqrt(pi)*F^a*b^5*d*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c))*log(F)^5 + (945*d^11*x^11 + 10395*c*d^10*x^10 + 51975*c^2*d^9*x^9 + 155925*c^3*d^8*x^8 + 311850*c^4*d^7*x^7 + 436590*c^5*d^6*x^6 + 436590*c^6*d^5*x^5 + 311850*c^7*d^4*x^4 + 155925*c^8*d^3*x^3 + 51975*c^9*d^2*x^2 + 10395*c^10*d*x + 945*c^11 + 32*(b^5*d*x + b^5*c)*log(F)^5 + 16*(b^4*d^3*x^3 + 3*b^4*c*d^2*x^2 + 3*b^4*c^2*d*x + b^4*c^3)*log(F)^4 + 24*(b^3*d^5*x^5 + 5*b^3*c*d^4*x^4 + 10*b^3*c^2*d^3*x^3 + 10*b^3*c^3*d^2*x^2 + 5*b^3*c^4*d*x + b^3*c^5)*log(F)^3 + 60*(b^2*d^7*x^7 + 7*b^2*c*d^6*x^6 + 21*b^2*c^2*d^5*x^5 + 35*b^2*c^3*d^4*x^4 + 35*b^2*c^4*d^3*x^3 + 21*b^2*c^5*d^2*x^2 + 7*b^2*c^6*d*x + b^2*c^7)*log(F)^2 + 210*(b*d^9*x^9 + 9*b*c*d^8*x^8 + 36*b*c^2*d^7*x^7 + 84*b*c^3*d^6*x^6 + 126*b*c^4*d^5*x^5 + 126*b*c^5*d^4*x^4 + 84*b*c^6*d^3*x^3 + 36*b*c^7*d^2*x^2 + 9*b*c^8*d*x + b*c^9)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","B",0
328,1,413,0,0.536987," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^8,x, algorithm=""fricas"")","\frac{16 \, \sqrt{\pi} F^{a} b^{4} d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) \log\left(F\right)^{4} + {\left(105 \, d^{9} x^{9} + 945 \, c d^{8} x^{8} + 3780 \, c^{2} d^{7} x^{7} + 8820 \, c^{3} d^{6} x^{6} + 13230 \, c^{4} d^{5} x^{5} + 13230 \, c^{5} d^{4} x^{4} + 8820 \, c^{6} d^{3} x^{3} + 3780 \, c^{7} d^{2} x^{2} + 945 \, c^{8} d x + 105 \, c^{9} + 16 \, {\left(b^{4} d x + b^{4} c\right)} \log\left(F\right)^{4} + 8 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + b^{3} c^{3}\right)} \log\left(F\right)^{3} + 12 \, {\left(b^{2} d^{5} x^{5} + 5 \, b^{2} c d^{4} x^{4} + 10 \, b^{2} c^{2} d^{3} x^{3} + 10 \, b^{2} c^{3} d^{2} x^{2} + 5 \, b^{2} c^{4} d x + b^{2} c^{5}\right)} \log\left(F\right)^{2} + 30 \, {\left(b d^{7} x^{7} + 7 \, b c d^{6} x^{6} + 21 \, b c^{2} d^{5} x^{5} + 35 \, b c^{3} d^{4} x^{4} + 35 \, b c^{4} d^{3} x^{3} + 21 \, b c^{5} d^{2} x^{2} + 7 \, b c^{6} d x + b c^{7}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{945 \, d}"," ",0,"1/945*(16*sqrt(pi)*F^a*b^4*d*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c))*log(F)^4 + (105*d^9*x^9 + 945*c*d^8*x^8 + 3780*c^2*d^7*x^7 + 8820*c^3*d^6*x^6 + 13230*c^4*d^5*x^5 + 13230*c^5*d^4*x^4 + 8820*c^6*d^3*x^3 + 3780*c^7*d^2*x^2 + 945*c^8*d*x + 105*c^9 + 16*(b^4*d*x + b^4*c)*log(F)^4 + 8*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + b^3*c^3)*log(F)^3 + 12*(b^2*d^5*x^5 + 5*b^2*c*d^4*x^4 + 10*b^2*c^2*d^3*x^3 + 10*b^2*c^3*d^2*x^2 + 5*b^2*c^4*d*x + b^2*c^5)*log(F)^2 + 30*(b*d^7*x^7 + 7*b*c*d^6*x^6 + 21*b*c^2*d^5*x^5 + 35*b*c^3*d^4*x^4 + 35*b*c^4*d^3*x^3 + 21*b*c^5*d^2*x^2 + 7*b*c^6*d*x + b*c^7)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","B",0
329,1,293,0,0.486288," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^6,x, algorithm=""fricas"")","\frac{8 \, \sqrt{\pi} F^{a} b^{3} d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) \log\left(F\right)^{3} + {\left(15 \, d^{7} x^{7} + 105 \, c d^{6} x^{6} + 315 \, c^{2} d^{5} x^{5} + 525 \, c^{3} d^{4} x^{4} + 525 \, c^{4} d^{3} x^{3} + 315 \, c^{5} d^{2} x^{2} + 105 \, c^{6} d x + 15 \, c^{7} + 8 \, {\left(b^{3} d x + b^{3} c\right)} \log\left(F\right)^{3} + 4 \, {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{5} x^{5} + 5 \, b c d^{4} x^{4} + 10 \, b c^{2} d^{3} x^{3} + 10 \, b c^{3} d^{2} x^{2} + 5 \, b c^{4} d x + b c^{5}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{105 \, d}"," ",0,"1/105*(8*sqrt(pi)*F^a*b^3*d*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c))*log(F)^3 + (15*d^7*x^7 + 105*c*d^6*x^6 + 315*c^2*d^5*x^5 + 525*c^3*d^4*x^4 + 525*c^4*d^3*x^3 + 315*c^5*d^2*x^2 + 105*c^6*d*x + 15*c^7 + 8*(b^3*d*x + b^3*c)*log(F)^3 + 4*(b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3)*log(F)^2 + 6*(b*d^5*x^5 + 5*b*c*d^4*x^4 + 10*b*c^2*d^3*x^3 + 10*b*c^3*d^2*x^2 + 5*b*c^4*d*x + b*c^5)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
330,1,201,0,0.465622," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^4,x, algorithm=""fricas"")","\frac{4 \, \sqrt{\pi} F^{a} b^{2} d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) \log\left(F\right)^{2} + {\left(3 \, d^{5} x^{5} + 15 \, c d^{4} x^{4} + 30 \, c^{2} d^{3} x^{3} + 30 \, c^{3} d^{2} x^{2} + 15 \, c^{4} d x + 3 \, c^{5} + 4 \, {\left(b^{2} d x + b^{2} c\right)} \log\left(F\right)^{2} + 2 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{15 \, d}"," ",0,"1/15*(4*sqrt(pi)*F^a*b^2*d*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c))*log(F)^2 + (3*d^5*x^5 + 15*c*d^4*x^4 + 30*c^2*d^3*x^3 + 30*c^3*d^2*x^2 + 15*c^4*d*x + 3*c^5 + 4*(b^2*d*x + b^2*c)*log(F)^2 + 2*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
331,1,130,0,0.462261," ","integrate(F^(a+b/(d*x+c)^2)*(d*x+c)^2,x, algorithm=""fricas"")","\frac{2 \, \sqrt{\pi} F^{a} b d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) \log\left(F\right) + {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3} + 2 \, {\left(b d x + b c\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{3 \, d}"," ",0,"1/3*(2*sqrt(pi)*F^a*b*d*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c))*log(F) + (d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3 + 2*(b*d*x + b*c)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
332,1,91,0,0.448144," ","integrate(F^(a+b/(d*x+c)^2),x, algorithm=""fricas"")","\frac{\sqrt{\pi} F^{a} d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) + {\left(d x + c\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{d}"," ",0,"(sqrt(pi)*F^a*d*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c)) + (d*x + c)*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
333,1,45,0,0.448950," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} F^{a} \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right)}{2 \, b \log\left(F\right)}"," ",0,"1/2*sqrt(pi)*F^a*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c))/(b*log(F))","A",0
334,1,117,0,0.478506," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^4,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(d^{2} x + c d\right)} F^{a} \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) + 2 \, F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}} b \log\left(F\right)}{4 \, {\left(b^{2} d^{2} x + b^{2} c d\right)} \log\left(F\right)^{2}}"," ",0,"-1/4*(sqrt(pi)*(d^2*x + c*d)*F^a*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c)) + 2*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2))*b*log(F))/((b^2*d^2*x + b^2*c*d)*log(F)^2)","A",0
335,1,199,0,0.469576," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^6,x, algorithm=""fricas"")","\frac{3 \, \sqrt{\pi} {\left(d^{4} x^{3} + 3 \, c d^{3} x^{2} + 3 \, c^{2} d^{2} x + c^{3} d\right)} F^{a} \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) - 2 \, {\left(2 \, b^{2} \log\left(F\right)^{2} - 3 \, {\left(b d^{2} x^{2} + 2 \, b c d x + b c^{2}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{8 \, {\left(b^{3} d^{4} x^{3} + 3 \, b^{3} c d^{3} x^{2} + 3 \, b^{3} c^{2} d^{2} x + b^{3} c^{3} d\right)} \log\left(F\right)^{3}}"," ",0,"1/8*(3*sqrt(pi)*(d^4*x^3 + 3*c*d^3*x^2 + 3*c^2*d^2*x + c^3*d)*F^a*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c)) - 2*(2*b^2*log(F)^2 - 3*(b*d^2*x^2 + 2*b*c*d*x + b*c^2)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^3*d^4*x^3 + 3*b^3*c*d^3*x^2 + 3*b^3*c^2*d^2*x + b^3*c^3*d)*log(F)^3)","B",0
336,1,305,0,0.488641," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^8,x, algorithm=""fricas"")","-\frac{15 \, \sqrt{\pi} {\left(d^{6} x^{5} + 5 \, c d^{5} x^{4} + 10 \, c^{2} d^{4} x^{3} + 10 \, c^{3} d^{3} x^{2} + 5 \, c^{4} d^{2} x + c^{5} d\right)} F^{a} \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) + 2 \, {\left(4 \, b^{3} \log\left(F\right)^{3} - 10 \, {\left(b^{2} d^{2} x^{2} + 2 \, b^{2} c d x + b^{2} c^{2}\right)} \log\left(F\right)^{2} + 15 \, {\left(b d^{4} x^{4} + 4 \, b c d^{3} x^{3} + 6 \, b c^{2} d^{2} x^{2} + 4 \, b c^{3} d x + b c^{4}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{16 \, {\left(b^{4} d^{6} x^{5} + 5 \, b^{4} c d^{5} x^{4} + 10 \, b^{4} c^{2} d^{4} x^{3} + 10 \, b^{4} c^{3} d^{3} x^{2} + 5 \, b^{4} c^{4} d^{2} x + b^{4} c^{5} d\right)} \log\left(F\right)^{4}}"," ",0,"-1/16*(15*sqrt(pi)*(d^6*x^5 + 5*c*d^5*x^4 + 10*c^2*d^4*x^3 + 10*c^3*d^3*x^2 + 5*c^4*d^2*x + c^5*d)*F^a*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c)) + 2*(4*b^3*log(F)^3 - 10*(b^2*d^2*x^2 + 2*b^2*c*d*x + b^2*c^2)*log(F)^2 + 15*(b*d^4*x^4 + 4*b*c*d^3*x^3 + 6*b*c^2*d^2*x^2 + 4*b*c^3*d*x + b*c^4)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^4*d^6*x^5 + 5*b^4*c*d^5*x^4 + 10*b^4*c^2*d^4*x^3 + 10*b^4*c^3*d^3*x^2 + 5*b^4*c^4*d^2*x + b^4*c^5*d)*log(F)^4)","B",0
337,1,439,0,0.506752," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^10,x, algorithm=""fricas"")","\frac{105 \, \sqrt{\pi} {\left(d^{8} x^{7} + 7 \, c d^{7} x^{6} + 21 \, c^{2} d^{6} x^{5} + 35 \, c^{3} d^{5} x^{4} + 35 \, c^{4} d^{4} x^{3} + 21 \, c^{5} d^{3} x^{2} + 7 \, c^{6} d^{2} x + c^{7} d\right)} F^{a} \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) - 2 \, {\left(8 \, b^{4} \log\left(F\right)^{4} - 28 \, {\left(b^{3} d^{2} x^{2} + 2 \, b^{3} c d x + b^{3} c^{2}\right)} \log\left(F\right)^{3} + 70 \, {\left(b^{2} d^{4} x^{4} + 4 \, b^{2} c d^{3} x^{3} + 6 \, b^{2} c^{2} d^{2} x^{2} + 4 \, b^{2} c^{3} d x + b^{2} c^{4}\right)} \log\left(F\right)^{2} - 105 \, {\left(b d^{6} x^{6} + 6 \, b c d^{5} x^{5} + 15 \, b c^{2} d^{4} x^{4} + 20 \, b c^{3} d^{3} x^{3} + 15 \, b c^{4} d^{2} x^{2} + 6 \, b c^{5} d x + b c^{6}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{32 \, {\left(b^{5} d^{8} x^{7} + 7 \, b^{5} c d^{7} x^{6} + 21 \, b^{5} c^{2} d^{6} x^{5} + 35 \, b^{5} c^{3} d^{5} x^{4} + 35 \, b^{5} c^{4} d^{4} x^{3} + 21 \, b^{5} c^{5} d^{3} x^{2} + 7 \, b^{5} c^{6} d^{2} x + b^{5} c^{7} d\right)} \log\left(F\right)^{5}}"," ",0,"1/32*(105*sqrt(pi)*(d^8*x^7 + 7*c*d^7*x^6 + 21*c^2*d^6*x^5 + 35*c^3*d^5*x^4 + 35*c^4*d^4*x^3 + 21*c^5*d^3*x^2 + 7*c^6*d^2*x + c^7*d)*F^a*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c)) - 2*(8*b^4*log(F)^4 - 28*(b^3*d^2*x^2 + 2*b^3*c*d*x + b^3*c^2)*log(F)^3 + 70*(b^2*d^4*x^4 + 4*b^2*c*d^3*x^3 + 6*b^2*c^2*d^2*x^2 + 4*b^2*c^3*d*x + b^2*c^4)*log(F)^2 - 105*(b*d^6*x^6 + 6*b*c*d^5*x^5 + 15*b*c^2*d^4*x^4 + 20*b*c^3*d^3*x^3 + 15*b*c^4*d^2*x^2 + 6*b*c^5*d*x + b*c^6)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^5*d^8*x^7 + 7*b^5*c*d^7*x^6 + 21*b^5*c^2*d^6*x^5 + 35*b^5*c^3*d^5*x^4 + 35*b^5*c^4*d^4*x^3 + 21*b^5*c^5*d^3*x^2 + 7*b^5*c^6*d^2*x + b^5*c^7*d)*log(F)^5)","B",0
338,1,601,0,0.544956," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^12,x, algorithm=""fricas"")","-\frac{945 \, \sqrt{\pi} {\left(d^{10} x^{9} + 9 \, c d^{9} x^{8} + 36 \, c^{2} d^{8} x^{7} + 84 \, c^{3} d^{7} x^{6} + 126 \, c^{4} d^{6} x^{5} + 126 \, c^{5} d^{5} x^{4} + 84 \, c^{6} d^{4} x^{3} + 36 \, c^{7} d^{3} x^{2} + 9 \, c^{8} d^{2} x + c^{9} d\right)} F^{a} \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) + 2 \, {\left(16 \, b^{5} \log\left(F\right)^{5} - 72 \, {\left(b^{4} d^{2} x^{2} + 2 \, b^{4} c d x + b^{4} c^{2}\right)} \log\left(F\right)^{4} + 252 \, {\left(b^{3} d^{4} x^{4} + 4 \, b^{3} c d^{3} x^{3} + 6 \, b^{3} c^{2} d^{2} x^{2} + 4 \, b^{3} c^{3} d x + b^{3} c^{4}\right)} \log\left(F\right)^{3} - 630 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + 945 \, {\left(b d^{8} x^{8} + 8 \, b c d^{7} x^{7} + 28 \, b c^{2} d^{6} x^{6} + 56 \, b c^{3} d^{5} x^{5} + 70 \, b c^{4} d^{4} x^{4} + 56 \, b c^{5} d^{3} x^{3} + 28 \, b c^{6} d^{2} x^{2} + 8 \, b c^{7} d x + b c^{8}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{64 \, {\left(b^{6} d^{10} x^{9} + 9 \, b^{6} c d^{9} x^{8} + 36 \, b^{6} c^{2} d^{8} x^{7} + 84 \, b^{6} c^{3} d^{7} x^{6} + 126 \, b^{6} c^{4} d^{6} x^{5} + 126 \, b^{6} c^{5} d^{5} x^{4} + 84 \, b^{6} c^{6} d^{4} x^{3} + 36 \, b^{6} c^{7} d^{3} x^{2} + 9 \, b^{6} c^{8} d^{2} x + b^{6} c^{9} d\right)} \log\left(F\right)^{6}}"," ",0,"-1/64*(945*sqrt(pi)*(d^10*x^9 + 9*c*d^9*x^8 + 36*c^2*d^8*x^7 + 84*c^3*d^7*x^6 + 126*c^4*d^6*x^5 + 126*c^5*d^5*x^4 + 84*c^6*d^4*x^3 + 36*c^7*d^3*x^2 + 9*c^8*d^2*x + c^9*d)*F^a*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c)) + 2*(16*b^5*log(F)^5 - 72*(b^4*d^2*x^2 + 2*b^4*c*d*x + b^4*c^2)*log(F)^4 + 252*(b^3*d^4*x^4 + 4*b^3*c*d^3*x^3 + 6*b^3*c^2*d^2*x^2 + 4*b^3*c^3*d*x + b^3*c^4)*log(F)^3 - 630*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + 945*(b*d^8*x^8 + 8*b*c*d^7*x^7 + 28*b*c^2*d^6*x^6 + 56*b*c^3*d^5*x^5 + 70*b*c^4*d^4*x^4 + 56*b*c^5*d^3*x^3 + 28*b*c^6*d^2*x^2 + 8*b*c^7*d*x + b*c^8)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^6*d^10*x^9 + 9*b^6*c*d^9*x^8 + 36*b^6*c^2*d^8*x^7 + 84*b^6*c^3*d^7*x^6 + 126*b^6*c^4*d^6*x^5 + 126*b^6*c^5*d^5*x^4 + 84*b^6*c^6*d^4*x^3 + 36*b^6*c^7*d^3*x^2 + 9*b^6*c^8*d^2*x + b^6*c^9*d)*log(F)^6)","A",0
339,1,791,0,0.556654," ","integrate(F^(a+b/(d*x+c)^2)/(d*x+c)^14,x, algorithm=""fricas"")","\frac{10395 \, \sqrt{\pi} {\left(d^{12} x^{11} + 11 \, c d^{11} x^{10} + 55 \, c^{2} d^{10} x^{9} + 165 \, c^{3} d^{9} x^{8} + 330 \, c^{4} d^{8} x^{7} + 462 \, c^{5} d^{7} x^{6} + 462 \, c^{6} d^{6} x^{5} + 330 \, c^{7} d^{5} x^{4} + 165 \, c^{8} d^{4} x^{3} + 55 \, c^{9} d^{3} x^{2} + 11 \, c^{10} d^{2} x + c^{11} d\right)} F^{a} \sqrt{-\frac{b \log\left(F\right)}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{b \log\left(F\right)}{d^{2}}}}{d x + c}\right) - 2 \, {\left(32 \, b^{6} \log\left(F\right)^{6} - 176 \, {\left(b^{5} d^{2} x^{2} + 2 \, b^{5} c d x + b^{5} c^{2}\right)} \log\left(F\right)^{5} + 792 \, {\left(b^{4} d^{4} x^{4} + 4 \, b^{4} c d^{3} x^{3} + 6 \, b^{4} c^{2} d^{2} x^{2} + 4 \, b^{4} c^{3} d x + b^{4} c^{4}\right)} \log\left(F\right)^{4} - 2772 \, {\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} + 6930 \, {\left(b^{2} d^{8} x^{8} + 8 \, b^{2} c d^{7} x^{7} + 28 \, b^{2} c^{2} d^{6} x^{6} + 56 \, b^{2} c^{3} d^{5} x^{5} + 70 \, b^{2} c^{4} d^{4} x^{4} + 56 \, b^{2} c^{5} d^{3} x^{3} + 28 \, b^{2} c^{6} d^{2} x^{2} + 8 \, b^{2} c^{7} d x + b^{2} c^{8}\right)} \log\left(F\right)^{2} - 10395 \, {\left(b d^{10} x^{10} + 10 \, b c d^{9} x^{9} + 45 \, b c^{2} d^{8} x^{8} + 120 \, b c^{3} d^{7} x^{7} + 210 \, b c^{4} d^{6} x^{6} + 252 \, b c^{5} d^{5} x^{5} + 210 \, b c^{6} d^{4} x^{4} + 120 \, b c^{7} d^{3} x^{3} + 45 \, b c^{8} d^{2} x^{2} + 10 \, b c^{9} d x + b c^{10}\right)} \log\left(F\right)\right)} F^{\frac{a d^{2} x^{2} + 2 \, a c d x + a c^{2} + b}{d^{2} x^{2} + 2 \, c d x + c^{2}}}}{128 \, {\left(b^{7} d^{12} x^{11} + 11 \, b^{7} c d^{11} x^{10} + 55 \, b^{7} c^{2} d^{10} x^{9} + 165 \, b^{7} c^{3} d^{9} x^{8} + 330 \, b^{7} c^{4} d^{8} x^{7} + 462 \, b^{7} c^{5} d^{7} x^{6} + 462 \, b^{7} c^{6} d^{6} x^{5} + 330 \, b^{7} c^{7} d^{5} x^{4} + 165 \, b^{7} c^{8} d^{4} x^{3} + 55 \, b^{7} c^{9} d^{3} x^{2} + 11 \, b^{7} c^{10} d^{2} x + b^{7} c^{11} d\right)} \log\left(F\right)^{7}}"," ",0,"1/128*(10395*sqrt(pi)*(d^12*x^11 + 11*c*d^11*x^10 + 55*c^2*d^10*x^9 + 165*c^3*d^9*x^8 + 330*c^4*d^8*x^7 + 462*c^5*d^7*x^6 + 462*c^6*d^6*x^5 + 330*c^7*d^5*x^4 + 165*c^8*d^4*x^3 + 55*c^9*d^3*x^2 + 11*c^10*d^2*x + c^11*d)*F^a*sqrt(-b*log(F)/d^2)*erf(d*sqrt(-b*log(F)/d^2)/(d*x + c)) - 2*(32*b^6*log(F)^6 - 176*(b^5*d^2*x^2 + 2*b^5*c*d*x + b^5*c^2)*log(F)^5 + 792*(b^4*d^4*x^4 + 4*b^4*c*d^3*x^3 + 6*b^4*c^2*d^2*x^2 + 4*b^4*c^3*d*x + b^4*c^4)*log(F)^4 - 2772*(b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 + 6930*(b^2*d^8*x^8 + 8*b^2*c*d^7*x^7 + 28*b^2*c^2*d^6*x^6 + 56*b^2*c^3*d^5*x^5 + 70*b^2*c^4*d^4*x^4 + 56*b^2*c^5*d^3*x^3 + 28*b^2*c^6*d^2*x^2 + 8*b^2*c^7*d*x + b^2*c^8)*log(F)^2 - 10395*(b*d^10*x^10 + 10*b*c*d^9*x^9 + 45*b*c^2*d^8*x^8 + 120*b*c^3*d^7*x^7 + 210*b*c^4*d^6*x^6 + 252*b*c^5*d^5*x^5 + 210*b*c^6*d^4*x^4 + 120*b*c^7*d^3*x^3 + 45*b*c^8*d^2*x^2 + 10*b*c^9*d*x + b*c^10)*log(F))*F^((a*d^2*x^2 + 2*a*c*d*x + a*c^2 + b)/(d^2*x^2 + 2*c*d*x + c^2)))/((b^7*d^12*x^11 + 11*b^7*c*d^11*x^10 + 55*b^7*c^2*d^10*x^9 + 165*b^7*c^3*d^9*x^8 + 330*b^7*c^4*d^8*x^7 + 462*b^7*c^5*d^7*x^6 + 462*b^7*c^6*d^6*x^5 + 330*b^7*c^7*d^5*x^4 + 165*b^7*c^8*d^4*x^3 + 55*b^7*c^9*d^3*x^2 + 11*b^7*c^10*d^2*x + b^7*c^11*d)*log(F)^7)","A",0
340,0,0,0,0.475850," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x + c\right)}^{m} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}, x\right)"," ",0,"integral((d*x + c)^m*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)), x)","F",0
341,1,686,0,0.501479," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^14,x, algorithm=""fricas"")","-\frac{F^{a} b^{5} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) \log\left(F\right)^{5} - {\left(24 \, d^{15} x^{15} + 360 \, c d^{14} x^{14} + 2520 \, c^{2} d^{13} x^{13} + 10920 \, c^{3} d^{12} x^{12} + 32760 \, c^{4} d^{11} x^{11} + 72072 \, c^{5} d^{10} x^{10} + 120120 \, c^{6} d^{9} x^{9} + 154440 \, c^{7} d^{8} x^{8} + 154440 \, c^{8} d^{7} x^{7} + 120120 \, c^{9} d^{6} x^{6} + 72072 \, c^{10} d^{5} x^{5} + 32760 \, c^{11} d^{4} x^{4} + 10920 \, c^{12} d^{3} x^{3} + 2520 \, c^{13} d^{2} x^{2} + 360 \, c^{14} d x + 24 \, c^{15} + {\left(b^{4} d^{3} x^{3} + 3 \, b^{4} c d^{2} x^{2} + 3 \, b^{4} c^{2} d x + b^{4} c^{3}\right)} \log\left(F\right)^{4} + {\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} + 2 \, {\left(b^{2} d^{9} x^{9} + 9 \, b^{2} c d^{8} x^{8} + 36 \, b^{2} c^{2} d^{7} x^{7} + 84 \, b^{2} c^{3} d^{6} x^{6} + 126 \, b^{2} c^{4} d^{5} x^{5} + 126 \, b^{2} c^{5} d^{4} x^{4} + 84 \, b^{2} c^{6} d^{3} x^{3} + 36 \, b^{2} c^{7} d^{2} x^{2} + 9 \, b^{2} c^{8} d x + b^{2} c^{9}\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{12} x^{12} + 12 \, b c d^{11} x^{11} + 66 \, b c^{2} d^{10} x^{10} + 220 \, b c^{3} d^{9} x^{9} + 495 \, b c^{4} d^{8} x^{8} + 792 \, b c^{5} d^{7} x^{7} + 924 \, b c^{6} d^{6} x^{6} + 792 \, b c^{7} d^{5} x^{5} + 495 \, b c^{8} d^{4} x^{4} + 220 \, b c^{9} d^{3} x^{3} + 66 \, b c^{10} d^{2} x^{2} + 12 \, b c^{11} d x + b c^{12}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{360 \, d}"," ",0,"-1/360*(F^a*b^5*Ei(b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*log(F)^5 - (24*d^15*x^15 + 360*c*d^14*x^14 + 2520*c^2*d^13*x^13 + 10920*c^3*d^12*x^12 + 32760*c^4*d^11*x^11 + 72072*c^5*d^10*x^10 + 120120*c^6*d^9*x^9 + 154440*c^7*d^8*x^8 + 154440*c^8*d^7*x^7 + 120120*c^9*d^6*x^6 + 72072*c^10*d^5*x^5 + 32760*c^11*d^4*x^4 + 10920*c^12*d^3*x^3 + 2520*c^13*d^2*x^2 + 360*c^14*d*x + 24*c^15 + (b^4*d^3*x^3 + 3*b^4*c*d^2*x^2 + 3*b^4*c^2*d*x + b^4*c^3)*log(F)^4 + (b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 + 2*(b^2*d^9*x^9 + 9*b^2*c*d^8*x^8 + 36*b^2*c^2*d^7*x^7 + 84*b^2*c^3*d^6*x^6 + 126*b^2*c^4*d^5*x^5 + 126*b^2*c^5*d^4*x^4 + 84*b^2*c^6*d^3*x^3 + 36*b^2*c^7*d^2*x^2 + 9*b^2*c^8*d*x + b^2*c^9)*log(F)^2 + 6*(b*d^12*x^12 + 12*b*c*d^11*x^11 + 66*b*c^2*d^10*x^10 + 220*b*c^3*d^9*x^9 + 495*b*c^4*d^8*x^8 + 792*b*c^5*d^7*x^7 + 924*b*c^6*d^6*x^6 + 792*b*c^7*d^5*x^5 + 495*b*c^8*d^4*x^4 + 220*b*c^9*d^3*x^3 + 66*b*c^10*d^2*x^2 + 12*b*c^11*d*x + b*c^12)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
342,1,487,0,0.491607," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^11,x, algorithm=""fricas"")","-\frac{F^{a} b^{4} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) \log\left(F\right)^{4} - {\left(6 \, d^{12} x^{12} + 72 \, c d^{11} x^{11} + 396 \, c^{2} d^{10} x^{10} + 1320 \, c^{3} d^{9} x^{9} + 2970 \, c^{4} d^{8} x^{8} + 4752 \, c^{5} d^{7} x^{7} + 5544 \, c^{6} d^{6} x^{6} + 4752 \, c^{7} d^{5} x^{5} + 2970 \, c^{8} d^{4} x^{4} + 1320 \, c^{9} d^{3} x^{3} + 396 \, c^{10} d^{2} x^{2} + 72 \, c^{11} d x + 6 \, c^{12} + {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + b^{3} c^{3}\right)} \log\left(F\right)^{3} + {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} + 2 \, {\left(b d^{9} x^{9} + 9 \, b c d^{8} x^{8} + 36 \, b c^{2} d^{7} x^{7} + 84 \, b c^{3} d^{6} x^{6} + 126 \, b c^{4} d^{5} x^{5} + 126 \, b c^{5} d^{4} x^{4} + 84 \, b c^{6} d^{3} x^{3} + 36 \, b c^{7} d^{2} x^{2} + 9 \, b c^{8} d x + b c^{9}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{72 \, d}"," ",0,"-1/72*(F^a*b^4*Ei(b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*log(F)^4 - (6*d^12*x^12 + 72*c*d^11*x^11 + 396*c^2*d^10*x^10 + 1320*c^3*d^9*x^9 + 2970*c^4*d^8*x^8 + 4752*c^5*d^7*x^7 + 5544*c^6*d^6*x^6 + 4752*c^7*d^5*x^5 + 2970*c^8*d^4*x^4 + 1320*c^9*d^3*x^3 + 396*c^10*d^2*x^2 + 72*c^11*d*x + 6*c^12 + (b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + b^3*c^3)*log(F)^3 + (b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 + 2*(b*d^9*x^9 + 9*b*c*d^8*x^8 + 36*b*c^2*d^7*x^7 + 84*b*c^3*d^6*x^6 + 126*b*c^4*d^5*x^5 + 126*b*c^5*d^4*x^4 + 84*b*c^6*d^3*x^3 + 36*b*c^7*d^2*x^2 + 9*b*c^8*d*x + b*c^9)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
343,1,330,0,0.476740," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^8,x, algorithm=""fricas"")","-\frac{F^{a} b^{3} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) \log\left(F\right)^{3} - {\left(2 \, d^{9} x^{9} + 18 \, c d^{8} x^{8} + 72 \, c^{2} d^{7} x^{7} + 168 \, c^{3} d^{6} x^{6} + 252 \, c^{4} d^{5} x^{5} + 252 \, c^{5} d^{4} x^{4} + 168 \, c^{6} d^{3} x^{3} + 72 \, c^{7} d^{2} x^{2} + 18 \, c^{8} d x + 2 \, c^{9} + {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3}\right)} \log\left(F\right)^{2} + {\left(b d^{6} x^{6} + 6 \, b c d^{5} x^{5} + 15 \, b c^{2} d^{4} x^{4} + 20 \, b c^{3} d^{3} x^{3} + 15 \, b c^{4} d^{2} x^{2} + 6 \, b c^{5} d x + b c^{6}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{18 \, d}"," ",0,"-1/18*(F^a*b^3*Ei(b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*log(F)^3 - (2*d^9*x^9 + 18*c*d^8*x^8 + 72*c^2*d^7*x^7 + 168*c^3*d^6*x^6 + 252*c^4*d^5*x^5 + 252*c^5*d^4*x^4 + 168*c^6*d^3*x^3 + 72*c^7*d^2*x^2 + 18*c^8*d*x + 2*c^9 + (b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3)*log(F)^2 + (b*d^6*x^6 + 6*b*c*d^5*x^5 + 15*b*c^2*d^4*x^4 + 20*b*c^3*d^3*x^3 + 15*b*c^4*d^2*x^2 + 6*b*c^5*d*x + b*c^6)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
344,1,213,0,0.482463," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^5,x, algorithm=""fricas"")","-\frac{F^{a} b^{2} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) \log\left(F\right)^{2} - {\left(d^{6} x^{6} + 6 \, c d^{5} x^{5} + 15 \, c^{2} d^{4} x^{4} + 20 \, c^{3} d^{3} x^{3} + 15 \, c^{4} d^{2} x^{2} + 6 \, c^{5} d x + c^{6} + {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{6 \, d}"," ",0,"-1/6*(F^a*b^2*Ei(b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*log(F)^2 - (d^6*x^6 + 6*c*d^5*x^5 + 15*c^2*d^4*x^4 + 20*c^3*d^3*x^3 + 15*c^4*d^2*x^2 + 6*c^5*d*x + c^6 + (b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
345,1,141,0,0.484181," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^2,x, algorithm=""fricas"")","-\frac{F^{a} b {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) \log\left(F\right) - {\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, d}"," ",0,"-1/3*(F^a*b*Ei(b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*log(F) - (d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
346,1,42,0,0.460207," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c),x, algorithm=""fricas"")","-\frac{F^{a} {\rm Ei}\left(\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}{3 \, d}"," ",0,"-1/3*F^a*Ei(b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/d","B",0
347,1,77,0,0.478772," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^4,x, algorithm=""fricas"")","-\frac{F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, b d \log\left(F\right)}"," ",0,"-1/3*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b*d*log(F))","B",0
348,1,148,0,0.468514," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^7,x, algorithm=""fricas"")","\frac{{\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3} - b \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{2} d^{4} x^{3} + 3 \, b^{2} c d^{3} x^{2} + 3 \, b^{2} c^{2} d^{2} x + b^{2} c^{3} d\right)} \log\left(F\right)^{2}}"," ",0,"1/3*(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3 - b*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/((b^2*d^4*x^3 + 3*b^2*c*d^3*x^2 + 3*b^2*c^2*d^2*x + b^2*c^3*d)*log(F)^2)","B",0
349,1,265,0,0.708879," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^10,x, algorithm=""fricas"")","-\frac{{\left(2 \, d^{6} x^{6} + 12 \, c d^{5} x^{5} + 30 \, c^{2} d^{4} x^{4} + 40 \, c^{3} d^{3} x^{3} + 30 \, c^{4} d^{2} x^{2} + 12 \, c^{5} d x + 2 \, c^{6} + b^{2} \log\left(F\right)^{2} - 2 \, {\left(b d^{3} x^{3} + 3 \, b c d^{2} x^{2} + 3 \, b c^{2} d x + b c^{3}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{3} d^{7} x^{6} + 6 \, b^{3} c d^{6} x^{5} + 15 \, b^{3} c^{2} d^{5} x^{4} + 20 \, b^{3} c^{3} d^{4} x^{3} + 15 \, b^{3} c^{4} d^{3} x^{2} + 6 \, b^{3} c^{5} d^{2} x + b^{3} c^{6} d\right)} \log\left(F\right)^{3}}"," ",0,"-1/3*(2*d^6*x^6 + 12*c*d^5*x^5 + 30*c^2*d^4*x^4 + 40*c^3*d^3*x^3 + 30*c^4*d^2*x^2 + 12*c^5*d*x + 2*c^6 + b^2*log(F)^2 - 2*(b*d^3*x^3 + 3*b*c*d^2*x^2 + 3*b*c^2*d*x + b*c^3)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/((b^3*d^7*x^6 + 6*b^3*c*d^6*x^5 + 15*b^3*c^2*d^5*x^4 + 20*b^3*c^3*d^4*x^3 + 15*b^3*c^4*d^3*x^2 + 6*b^3*c^5*d^2*x + b^3*c^6*d)*log(F)^3)","B",0
350,1,423,0,0.797083," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^13,x, algorithm=""fricas"")","\frac{{\left(6 \, d^{9} x^{9} + 54 \, c d^{8} x^{8} + 216 \, c^{2} d^{7} x^{7} + 504 \, c^{3} d^{6} x^{6} + 756 \, c^{4} d^{5} x^{5} + 756 \, c^{5} d^{4} x^{4} + 504 \, c^{6} d^{3} x^{3} + 216 \, c^{7} d^{2} x^{2} + 54 \, c^{8} d x + 6 \, c^{9} - b^{3} \log\left(F\right)^{3} + 3 \, {\left(b^{2} d^{3} x^{3} + 3 \, b^{2} c d^{2} x^{2} + 3 \, b^{2} c^{2} d x + b^{2} c^{3}\right)} \log\left(F\right)^{2} - 6 \, {\left(b d^{6} x^{6} + 6 \, b c d^{5} x^{5} + 15 \, b c^{2} d^{4} x^{4} + 20 \, b c^{3} d^{3} x^{3} + 15 \, b c^{4} d^{2} x^{2} + 6 \, b c^{5} d x + b c^{6}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{4} d^{10} x^{9} + 9 \, b^{4} c d^{9} x^{8} + 36 \, b^{4} c^{2} d^{8} x^{7} + 84 \, b^{4} c^{3} d^{7} x^{6} + 126 \, b^{4} c^{4} d^{6} x^{5} + 126 \, b^{4} c^{5} d^{5} x^{4} + 84 \, b^{4} c^{6} d^{4} x^{3} + 36 \, b^{4} c^{7} d^{3} x^{2} + 9 \, b^{4} c^{8} d^{2} x + b^{4} c^{9} d\right)} \log\left(F\right)^{4}}"," ",0,"1/3*(6*d^9*x^9 + 54*c*d^8*x^8 + 216*c^2*d^7*x^7 + 504*c^3*d^6*x^6 + 756*c^4*d^5*x^5 + 756*c^5*d^4*x^4 + 504*c^6*d^3*x^3 + 216*c^7*d^2*x^2 + 54*c^8*d*x + 6*c^9 - b^3*log(F)^3 + 3*(b^2*d^3*x^3 + 3*b^2*c*d^2*x^2 + 3*b^2*c^2*d*x + b^2*c^3)*log(F)^2 - 6*(b*d^6*x^6 + 6*b*c*d^5*x^5 + 15*b*c^2*d^4*x^4 + 20*b*c^3*d^3*x^3 + 15*b*c^4*d^2*x^2 + 6*b*c^5*d*x + b*c^6)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/((b^4*d^10*x^9 + 9*b^4*c*d^9*x^8 + 36*b^4*c^2*d^8*x^7 + 84*b^4*c^3*d^7*x^6 + 126*b^4*c^4*d^6*x^5 + 126*b^4*c^5*d^5*x^4 + 84*b^4*c^6*d^4*x^3 + 36*b^4*c^7*d^3*x^2 + 9*b^4*c^8*d^2*x + b^4*c^9*d)*log(F)^4)","B",0
351,1,621,0,0.806770," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^16,x, algorithm=""fricas"")","-\frac{{\left(24 \, d^{12} x^{12} + 288 \, c d^{11} x^{11} + 1584 \, c^{2} d^{10} x^{10} + 5280 \, c^{3} d^{9} x^{9} + 11880 \, c^{4} d^{8} x^{8} + 19008 \, c^{5} d^{7} x^{7} + 22176 \, c^{6} d^{6} x^{6} + 19008 \, c^{7} d^{5} x^{5} + 11880 \, c^{8} d^{4} x^{4} + 5280 \, c^{9} d^{3} x^{3} + 1584 \, c^{10} d^{2} x^{2} + 288 \, c^{11} d x + 24 \, c^{12} + b^{4} \log\left(F\right)^{4} - 4 \, {\left(b^{3} d^{3} x^{3} + 3 \, b^{3} c d^{2} x^{2} + 3 \, b^{3} c^{2} d x + b^{3} c^{3}\right)} \log\left(F\right)^{3} + 12 \, {\left(b^{2} d^{6} x^{6} + 6 \, b^{2} c d^{5} x^{5} + 15 \, b^{2} c^{2} d^{4} x^{4} + 20 \, b^{2} c^{3} d^{3} x^{3} + 15 \, b^{2} c^{4} d^{2} x^{2} + 6 \, b^{2} c^{5} d x + b^{2} c^{6}\right)} \log\left(F\right)^{2} - 24 \, {\left(b d^{9} x^{9} + 9 \, b c d^{8} x^{8} + 36 \, b c^{2} d^{7} x^{7} + 84 \, b c^{3} d^{6} x^{6} + 126 \, b c^{4} d^{5} x^{5} + 126 \, b c^{5} d^{4} x^{4} + 84 \, b c^{6} d^{3} x^{3} + 36 \, b c^{7} d^{2} x^{2} + 9 \, b c^{8} d x + b c^{9}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{5} d^{13} x^{12} + 12 \, b^{5} c d^{12} x^{11} + 66 \, b^{5} c^{2} d^{11} x^{10} + 220 \, b^{5} c^{3} d^{10} x^{9} + 495 \, b^{5} c^{4} d^{9} x^{8} + 792 \, b^{5} c^{5} d^{8} x^{7} + 924 \, b^{5} c^{6} d^{7} x^{6} + 792 \, b^{5} c^{7} d^{6} x^{5} + 495 \, b^{5} c^{8} d^{5} x^{4} + 220 \, b^{5} c^{9} d^{4} x^{3} + 66 \, b^{5} c^{10} d^{3} x^{2} + 12 \, b^{5} c^{11} d^{2} x + b^{5} c^{12} d\right)} \log\left(F\right)^{5}}"," ",0,"-1/3*(24*d^12*x^12 + 288*c*d^11*x^11 + 1584*c^2*d^10*x^10 + 5280*c^3*d^9*x^9 + 11880*c^4*d^8*x^8 + 19008*c^5*d^7*x^7 + 22176*c^6*d^6*x^6 + 19008*c^7*d^5*x^5 + 11880*c^8*d^4*x^4 + 5280*c^9*d^3*x^3 + 1584*c^10*d^2*x^2 + 288*c^11*d*x + 24*c^12 + b^4*log(F)^4 - 4*(b^3*d^3*x^3 + 3*b^3*c*d^2*x^2 + 3*b^3*c^2*d*x + b^3*c^3)*log(F)^3 + 12*(b^2*d^6*x^6 + 6*b^2*c*d^5*x^5 + 15*b^2*c^2*d^4*x^4 + 20*b^2*c^3*d^3*x^3 + 15*b^2*c^4*d^2*x^2 + 6*b^2*c^5*d*x + b^2*c^6)*log(F)^2 - 24*(b*d^9*x^9 + 9*b*c*d^8*x^8 + 36*b*c^2*d^7*x^7 + 84*b*c^3*d^6*x^6 + 126*b*c^4*d^5*x^5 + 126*b*c^5*d^4*x^4 + 84*b*c^6*d^3*x^3 + 36*b*c^7*d^2*x^2 + 9*b*c^8*d*x + b*c^9)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/((b^5*d^13*x^12 + 12*b^5*c*d^12*x^11 + 66*b^5*c^2*d^11*x^10 + 220*b^5*c^3*d^10*x^9 + 495*b^5*c^4*d^9*x^8 + 792*b^5*c^5*d^8*x^7 + 924*b^5*c^6*d^7*x^6 + 792*b^5*c^7*d^6*x^5 + 495*b^5*c^8*d^5*x^4 + 220*b^5*c^9*d^4*x^3 + 66*b^5*c^10*d^3*x^2 + 12*b^5*c^11*d^2*x + b^5*c^12*d)*log(F)^5)","B",0
352,1,863,0,0.777428," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^19,x, algorithm=""fricas"")","\frac{{\left(120 \, d^{15} x^{15} + 1800 \, c d^{14} x^{14} + 12600 \, c^{2} d^{13} x^{13} + 54600 \, c^{3} d^{12} x^{12} + 163800 \, c^{4} d^{11} x^{11} + 360360 \, c^{5} d^{10} x^{10} + 600600 \, c^{6} d^{9} x^{9} + 772200 \, c^{7} d^{8} x^{8} + 772200 \, c^{8} d^{7} x^{7} + 600600 \, c^{9} d^{6} x^{6} + 360360 \, c^{10} d^{5} x^{5} + 163800 \, c^{11} d^{4} x^{4} + 54600 \, c^{12} d^{3} x^{3} + 12600 \, c^{13} d^{2} x^{2} + 1800 \, c^{14} d x + 120 \, c^{15} - b^{5} \log\left(F\right)^{5} + 5 \, {\left(b^{4} d^{3} x^{3} + 3 \, b^{4} c d^{2} x^{2} + 3 \, b^{4} c^{2} d x + b^{4} c^{3}\right)} \log\left(F\right)^{4} - 20 \, {\left(b^{3} d^{6} x^{6} + 6 \, b^{3} c d^{5} x^{5} + 15 \, b^{3} c^{2} d^{4} x^{4} + 20 \, b^{3} c^{3} d^{3} x^{3} + 15 \, b^{3} c^{4} d^{2} x^{2} + 6 \, b^{3} c^{5} d x + b^{3} c^{6}\right)} \log\left(F\right)^{3} + 60 \, {\left(b^{2} d^{9} x^{9} + 9 \, b^{2} c d^{8} x^{8} + 36 \, b^{2} c^{2} d^{7} x^{7} + 84 \, b^{2} c^{3} d^{6} x^{6} + 126 \, b^{2} c^{4} d^{5} x^{5} + 126 \, b^{2} c^{5} d^{4} x^{4} + 84 \, b^{2} c^{6} d^{3} x^{3} + 36 \, b^{2} c^{7} d^{2} x^{2} + 9 \, b^{2} c^{8} d x + b^{2} c^{9}\right)} \log\left(F\right)^{2} - 120 \, {\left(b d^{12} x^{12} + 12 \, b c d^{11} x^{11} + 66 \, b c^{2} d^{10} x^{10} + 220 \, b c^{3} d^{9} x^{9} + 495 \, b c^{4} d^{8} x^{8} + 792 \, b c^{5} d^{7} x^{7} + 924 \, b c^{6} d^{6} x^{6} + 792 \, b c^{7} d^{5} x^{5} + 495 \, b c^{8} d^{4} x^{4} + 220 \, b c^{9} d^{3} x^{3} + 66 \, b c^{10} d^{2} x^{2} + 12 \, b c^{11} d x + b c^{12}\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{3 \, {\left(b^{6} d^{16} x^{15} + 15 \, b^{6} c d^{15} x^{14} + 105 \, b^{6} c^{2} d^{14} x^{13} + 455 \, b^{6} c^{3} d^{13} x^{12} + 1365 \, b^{6} c^{4} d^{12} x^{11} + 3003 \, b^{6} c^{5} d^{11} x^{10} + 5005 \, b^{6} c^{6} d^{10} x^{9} + 6435 \, b^{6} c^{7} d^{9} x^{8} + 6435 \, b^{6} c^{8} d^{8} x^{7} + 5005 \, b^{6} c^{9} d^{7} x^{6} + 3003 \, b^{6} c^{10} d^{6} x^{5} + 1365 \, b^{6} c^{11} d^{5} x^{4} + 455 \, b^{6} c^{12} d^{4} x^{3} + 105 \, b^{6} c^{13} d^{3} x^{2} + 15 \, b^{6} c^{14} d^{2} x + b^{6} c^{15} d\right)} \log\left(F\right)^{6}}"," ",0,"1/3*(120*d^15*x^15 + 1800*c*d^14*x^14 + 12600*c^2*d^13*x^13 + 54600*c^3*d^12*x^12 + 163800*c^4*d^11*x^11 + 360360*c^5*d^10*x^10 + 600600*c^6*d^9*x^9 + 772200*c^7*d^8*x^8 + 772200*c^8*d^7*x^7 + 600600*c^9*d^6*x^6 + 360360*c^10*d^5*x^5 + 163800*c^11*d^4*x^4 + 54600*c^12*d^3*x^3 + 12600*c^13*d^2*x^2 + 1800*c^14*d*x + 120*c^15 - b^5*log(F)^5 + 5*(b^4*d^3*x^3 + 3*b^4*c*d^2*x^2 + 3*b^4*c^2*d*x + b^4*c^3)*log(F)^4 - 20*(b^3*d^6*x^6 + 6*b^3*c*d^5*x^5 + 15*b^3*c^2*d^4*x^4 + 20*b^3*c^3*d^3*x^3 + 15*b^3*c^4*d^2*x^2 + 6*b^3*c^5*d*x + b^3*c^6)*log(F)^3 + 60*(b^2*d^9*x^9 + 9*b^2*c*d^8*x^8 + 36*b^2*c^2*d^7*x^7 + 84*b^2*c^3*d^6*x^6 + 126*b^2*c^4*d^5*x^5 + 126*b^2*c^5*d^4*x^4 + 84*b^2*c^6*d^3*x^3 + 36*b^2*c^7*d^2*x^2 + 9*b^2*c^8*d*x + b^2*c^9)*log(F)^2 - 120*(b*d^12*x^12 + 12*b*c*d^11*x^11 + 66*b*c^2*d^10*x^10 + 220*b*c^3*d^9*x^9 + 495*b*c^4*d^8*x^8 + 792*b*c^5*d^7*x^7 + 924*b*c^6*d^6*x^6 + 792*b*c^7*d^5*x^5 + 495*b*c^8*d^4*x^4 + 220*b*c^9*d^3*x^3 + 66*b*c^10*d^2*x^2 + 12*b*c^11*d*x + b*c^12)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/((b^6*d^16*x^15 + 15*b^6*c*d^15*x^14 + 105*b^6*c^2*d^14*x^13 + 455*b^6*c^3*d^13*x^12 + 1365*b^6*c^4*d^12*x^11 + 3003*b^6*c^5*d^11*x^10 + 5005*b^6*c^6*d^10*x^9 + 6435*b^6*c^7*d^9*x^8 + 6435*b^6*c^8*d^8*x^7 + 5005*b^6*c^9*d^7*x^6 + 3003*b^6*c^10*d^6*x^5 + 1365*b^6*c^11*d^5*x^4 + 455*b^6*c^12*d^4*x^3 + 105*b^6*c^13*d^3*x^2 + 15*b^6*c^14*d^2*x + b^6*c^15*d)*log(F)^6)","B",0
353,1,178,0,0.662044," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c)^3,x, algorithm=""fricas"")","-\frac{3 \, F^{a} b d \left(-\frac{b \log\left(F\right)}{d^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) \log\left(F\right) - {\left(d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4} + 3 \, {\left(b d x + b c\right)} \log\left(F\right)\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{4 \, d}"," ",0,"-1/4*(3*F^a*b*d*(-b*log(F)/d^3)^(1/3)*gamma(2/3, -b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*log(F) - (d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4 + 3*(b*d*x + b*c)*log(F))*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
354,1,142,0,0.817402," ","integrate(F^(a+b/(d*x+c)^3)*(d*x+c),x, algorithm=""fricas"")","-\frac{F^{a} d^{2} \left(-\frac{b \log\left(F\right)}{d^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - {\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{2 \, d}"," ",0,"-1/2*(F^a*d^2*(-b*log(F)/d^3)^(2/3)*gamma(1/3, -b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - (d^2*x^2 + 2*c*d*x + c^2)*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
355,1,129,0,0.906895," ","integrate(F^(a+b/(d*x+c)^3),x, algorithm=""fricas"")","-\frac{F^{a} d \left(-\frac{b \log\left(F\right)}{d^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - {\left(d x + c\right)} F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}}}{d}"," ",0,"-(F^a*d*(-b*log(F)/d^3)^(1/3)*gamma(2/3, -b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - (d*x + c)*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
356,1,59,0,0.773258," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^2,x, algorithm=""fricas"")","-\frac{F^{a} d \left(-\frac{b \log\left(F\right)}{d^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}{3 \, b \log\left(F\right)}"," ",0,"-1/3*F^a*d*(-b*log(F)/d^3)^(2/3)*gamma(1/3, -b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b*log(F))","A",0
357,1,58,0,0.652211," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^3,x, algorithm=""fricas"")","-\frac{F^{a} \left(-\frac{b \log\left(F\right)}{d^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}{3 \, b \log\left(F\right)}"," ",0,"-1/3*F^a*(-b*log(F)/d^3)^(1/3)*gamma(2/3, -b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b*log(F))","A",0
358,1,155,0,0.830412," ","integrate(F^(a+b/(d*x+c)^3)/(d*x+c)^5,x, algorithm=""fricas"")","\frac{{\left(d^{3} x + c d^{2}\right)} F^{a} \left(-\frac{b \log\left(F\right)}{d^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{b \log\left(F\right)}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - 3 \, F^{\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}} b \log\left(F\right)}{9 \, {\left(b^{2} d^{2} x + b^{2} c d\right)} \log\left(F\right)^{2}}"," ",0,"1/9*((d^3*x + c*d^2)*F^a*(-b*log(F)/d^3)^(2/3)*gamma(1/3, -b*log(F)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - 3*F^((a*d^3*x^3 + 3*a*c*d^2*x^2 + 3*a*c^2*d*x + a*c^3 + b)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))*b*log(F))/((b^2*d^2*x + b^2*c*d)*log(F)^2)","B",0
359,0,0,0,0.779766," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(d x + c\right)}^{m} F^{{\left(d x + c\right)}^{n} b + a}, x\right)"," ",0,"integral((d*x + c)^m*F^((d*x + c)^n*b + a), x)","F",0
360,0,0,0,0.826041," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left({\left(d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}\right)} F^{{\left(d x + c\right)}^{n} b + a}, x\right)"," ",0,"integral((d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)*F^((d*x + c)^n*b + a), x)","F",0
361,0,0,0,0.899799," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left({\left(d^{2} x^{2} + 2 \, c d x + c^{2}\right)} F^{{\left(d x + c\right)}^{n} b + a}, x\right)"," ",0,"integral((d^2*x^2 + 2*c*d*x + c^2)*F^((d*x + c)^n*b + a), x)","F",0
362,0,0,0,0.757379," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c),x, algorithm=""fricas"")","{\rm integral}\left({\left(d x + c\right)} F^{{\left(d x + c\right)}^{n} b + a}, x\right)"," ",0,"integral((d*x + c)*F^((d*x + c)^n*b + a), x)","F",0
363,0,0,0,0.621992," ","integrate(F^(a+b*(d*x+c)^n),x, algorithm=""fricas"")","{\rm integral}\left(F^{{\left(d x + c\right)}^{n} b + a}, x\right)"," ",0,"integral(F^((d*x + c)^n*b + a), x)","F",0
364,1,22,0,0.802891," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c),x, algorithm=""fricas"")","\frac{F^{a} {\rm Ei}\left({\left(d x + c\right)}^{n} b \log\left(F\right)\right)}{d n}"," ",0,"F^a*Ei((d*x + c)^n*b*log(F))/(d*n)","A",0
365,0,0,0,0.796405," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{{\left(d x + c\right)}^{n} b + a}}{d^{2} x^{2} + 2 \, c d x + c^{2}}, x\right)"," ",0,"integral(F^((d*x + c)^n*b + a)/(d^2*x^2 + 2*c*d*x + c^2), x)","F",0
366,0,0,0,0.715957," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{{\left(d x + c\right)}^{n} b + a}}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}, x\right)"," ",0,"integral(F^((d*x + c)^n*b + a)/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3), x)","F",0
367,0,0,0,0.613257," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c)^4,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{{\left(d x + c\right)}^{n} b + a}}{d^{4} x^{4} + 4 \, c d^{3} x^{3} + 6 \, c^{2} d^{2} x^{2} + 4 \, c^{3} d x + c^{4}}, x\right)"," ",0,"integral(F^((d*x + c)^n*b + a)/(d^4*x^4 + 4*c*d^3*x^3 + 6*c^2*d^2*x^2 + 4*c^3*d*x + c^4), x)","F",0
368,1,116,0,0.796328," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+6*n),x, algorithm=""fricas"")","\frac{{\left({\left(d x + c\right)}^{5 \, n} b^{5} \log\left(F\right)^{5} - 5 \, {\left(d x + c\right)}^{4 \, n} b^{4} \log\left(F\right)^{4} + 20 \, {\left(d x + c\right)}^{3 \, n} b^{3} \log\left(F\right)^{3} - 60 \, {\left(d x + c\right)}^{2 \, n} b^{2} \log\left(F\right)^{2} + 120 \, {\left(d x + c\right)}^{n} b \log\left(F\right) - 120\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{b^{6} d n \log\left(F\right)^{6}}"," ",0,"((d*x + c)^(5*n)*b^5*log(F)^5 - 5*(d*x + c)^(4*n)*b^4*log(F)^4 + 20*(d*x + c)^(3*n)*b^3*log(F)^3 - 60*(d*x + c)^(2*n)*b^2*log(F)^2 + 120*(d*x + c)^n*b*log(F) - 120)*e^((d*x + c)^n*b*log(F) + a*log(F))/(b^6*d*n*log(F)^6)","A",0
369,1,98,0,0.665327," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+5*n),x, algorithm=""fricas"")","\frac{{\left({\left(d x + c\right)}^{4 \, n} b^{4} \log\left(F\right)^{4} - 4 \, {\left(d x + c\right)}^{3 \, n} b^{3} \log\left(F\right)^{3} + 12 \, {\left(d x + c\right)}^{2 \, n} b^{2} \log\left(F\right)^{2} - 24 \, {\left(d x + c\right)}^{n} b \log\left(F\right) + 24\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{b^{5} d n \log\left(F\right)^{5}}"," ",0,"((d*x + c)^(4*n)*b^4*log(F)^4 - 4*(d*x + c)^(3*n)*b^3*log(F)^3 + 12*(d*x + c)^(2*n)*b^2*log(F)^2 - 24*(d*x + c)^n*b*log(F) + 24)*e^((d*x + c)^n*b*log(F) + a*log(F))/(b^5*d*n*log(F)^5)","A",0
370,1,80,0,0.671825," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+4*n),x, algorithm=""fricas"")","\frac{{\left({\left(d x + c\right)}^{3 \, n} b^{3} \log\left(F\right)^{3} - 3 \, {\left(d x + c\right)}^{2 \, n} b^{2} \log\left(F\right)^{2} + 6 \, {\left(d x + c\right)}^{n} b \log\left(F\right) - 6\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{b^{4} d n \log\left(F\right)^{4}}"," ",0,"((d*x + c)^(3*n)*b^3*log(F)^3 - 3*(d*x + c)^(2*n)*b^2*log(F)^2 + 6*(d*x + c)^n*b*log(F) - 6)*e^((d*x + c)^n*b*log(F) + a*log(F))/(b^4*d*n*log(F)^4)","A",0
371,1,62,0,0.654516," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+3*n),x, algorithm=""fricas"")","\frac{{\left({\left(d x + c\right)}^{2 \, n} b^{2} \log\left(F\right)^{2} - 2 \, {\left(d x + c\right)}^{n} b \log\left(F\right) + 2\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{b^{3} d n \log\left(F\right)^{3}}"," ",0,"((d*x + c)^(2*n)*b^2*log(F)^2 - 2*(d*x + c)^n*b*log(F) + 2)*e^((d*x + c)^n*b*log(F) + a*log(F))/(b^3*d*n*log(F)^3)","A",0
372,1,44,0,0.792583," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+2*n),x, algorithm=""fricas"")","\frac{{\left({\left(d x + c\right)}^{n} b \log\left(F\right) - 1\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{b^{2} d n \log\left(F\right)^{2}}"," ",0,"((d*x + c)^n*b*log(F) - 1)*e^((d*x + c)^n*b*log(F) + a*log(F))/(b^2*d*n*log(F)^2)","A",0
373,1,31,0,0.653539," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1+n),x, algorithm=""fricas"")","\frac{e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{b d n \log\left(F\right)}"," ",0,"e^((d*x + c)^n*b*log(F) + a*log(F))/(b*d*n*log(F))","A",0
374,1,22,0,0.758030," ","integrate(F^(a+b*(d*x+c)^n)/(d*x+c),x, algorithm=""fricas"")","\frac{F^{a} {\rm Ei}\left({\left(d x + c\right)}^{n} b \log\left(F\right)\right)}{d n}"," ",0,"F^a*Ei((d*x + c)^n*b*log(F))/(d*n)","A",0
375,1,62,0,0.584733," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-n),x, algorithm=""fricas"")","\frac{{\left(d x + c\right)}^{n} F^{a} b {\rm Ei}\left({\left(d x + c\right)}^{n} b \log\left(F\right)\right) \log\left(F\right) - e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{{\left(d x + c\right)}^{n} d n}"," ",0,"((d*x + c)^n*F^a*b*Ei((d*x + c)^n*b*log(F))*log(F) - e^((d*x + c)^n*b*log(F) + a*log(F)))/((d*x + c)^n*d*n)","A",0
376,1,84,0,0.538895," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-2*n),x, algorithm=""fricas"")","\frac{{\left(d x + c\right)}^{2 \, n} F^{a} b^{2} {\rm Ei}\left({\left(d x + c\right)}^{n} b \log\left(F\right)\right) \log\left(F\right)^{2} - {\left({\left(d x + c\right)}^{n} b \log\left(F\right) + 1\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{2 \, {\left(d x + c\right)}^{2 \, n} d n}"," ",0,"1/2*((d*x + c)^(2*n)*F^a*b^2*Ei((d*x + c)^n*b*log(F))*log(F)^2 - ((d*x + c)^n*b*log(F) + 1)*e^((d*x + c)^n*b*log(F) + a*log(F)))/((d*x + c)^(2*n)*d*n)","A",0
377,1,101,0,0.637166," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-3*n),x, algorithm=""fricas"")","\frac{{\left(d x + c\right)}^{3 \, n} F^{a} b^{3} {\rm Ei}\left({\left(d x + c\right)}^{n} b \log\left(F\right)\right) \log\left(F\right)^{3} - {\left({\left(d x + c\right)}^{2 \, n} b^{2} \log\left(F\right)^{2} + {\left(d x + c\right)}^{n} b \log\left(F\right) + 2\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{6 \, {\left(d x + c\right)}^{3 \, n} d n}"," ",0,"1/6*((d*x + c)^(3*n)*F^a*b^3*Ei((d*x + c)^n*b*log(F))*log(F)^3 - ((d*x + c)^(2*n)*b^2*log(F)^2 + (d*x + c)^n*b*log(F) + 2)*e^((d*x + c)^n*b*log(F) + a*log(F)))/((d*x + c)^(3*n)*d*n)","A",0
378,1,119,0,0.862890," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-4*n),x, algorithm=""fricas"")","\frac{{\left(d x + c\right)}^{4 \, n} F^{a} b^{4} {\rm Ei}\left({\left(d x + c\right)}^{n} b \log\left(F\right)\right) \log\left(F\right)^{4} - {\left({\left(d x + c\right)}^{3 \, n} b^{3} \log\left(F\right)^{3} + {\left(d x + c\right)}^{2 \, n} b^{2} \log\left(F\right)^{2} + 2 \, {\left(d x + c\right)}^{n} b \log\left(F\right) + 6\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{24 \, {\left(d x + c\right)}^{4 \, n} d n}"," ",0,"1/24*((d*x + c)^(4*n)*F^a*b^4*Ei((d*x + c)^n*b*log(F))*log(F)^4 - ((d*x + c)^(3*n)*b^3*log(F)^3 + (d*x + c)^(2*n)*b^2*log(F)^2 + 2*(d*x + c)^n*b*log(F) + 6)*e^((d*x + c)^n*b*log(F) + a*log(F)))/((d*x + c)^(4*n)*d*n)","B",0
379,1,137,0,0.648551," ","integrate(F^(a+b*(d*x+c)^n)*(d*x+c)^(-1-5*n),x, algorithm=""fricas"")","\frac{{\left(d x + c\right)}^{5 \, n} F^{a} b^{5} {\rm Ei}\left({\left(d x + c\right)}^{n} b \log\left(F\right)\right) \log\left(F\right)^{5} - {\left({\left(d x + c\right)}^{4 \, n} b^{4} \log\left(F\right)^{4} + {\left(d x + c\right)}^{3 \, n} b^{3} \log\left(F\right)^{3} + 2 \, {\left(d x + c\right)}^{2 \, n} b^{2} \log\left(F\right)^{2} + 6 \, {\left(d x + c\right)}^{n} b \log\left(F\right) + 24\right)} e^{\left({\left(d x + c\right)}^{n} b \log\left(F\right) + a \log\left(F\right)\right)}}{120 \, {\left(d x + c\right)}^{5 \, n} d n}"," ",0,"1/120*((d*x + c)^(5*n)*F^a*b^5*Ei((d*x + c)^n*b*log(F))*log(F)^5 - ((d*x + c)^(4*n)*b^4*log(F)^4 + (d*x + c)^(3*n)*b^3*log(F)^3 + 2*(d*x + c)^(2*n)*b^2*log(F)^2 + 6*(d*x + c)^n*b*log(F) + 24)*e^((d*x + c)^n*b*log(F) + a*log(F)))/((d*x + c)^(5*n)*d*n)","B",0
380,1,50,0,0.883355," ","integrate(F^(c*(b*x+a)^n)*(b*x+a)^(-1+1/2*n),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c \log\left(F\right)} \operatorname{erf}\left({\left(b x + a\right)} \sqrt{-c \log\left(F\right)} {\left(b x + a\right)}^{\frac{1}{2} \, n - 1}\right)}{b c n \log\left(F\right)}"," ",0,"-sqrt(pi)*sqrt(-c*log(F))*erf((b*x + a)*sqrt(-c*log(F))*(b*x + a)^(1/2*n - 1))/(b*c*n*log(F))","A",0
381,1,47,0,0.760479," ","integrate((b*x+a)^(-1+1/2*n)/(F^(c*(b*x+a)^n)),x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{c \log\left(F\right)} \operatorname{erf}\left({\left(b x + a\right)} \sqrt{c \log\left(F\right)} {\left(b x + a\right)}^{\frac{1}{2} \, n - 1}\right)}{b c n \log\left(F\right)}"," ",0,"sqrt(pi)*sqrt(c*log(F))*erf((b*x + a)*sqrt(c*log(F))*(b*x + a)^(1/2*n - 1))/(b*c*n*log(F))","A",0
382,1,531,0,0.988247," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^5,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(15 \, d e f^{4} - 15 \, c f^{5} + 4 \, {\left(b^{2} d^{5} e^{5} - 5 \, b^{2} c d^{4} e^{4} f + 10 \, b^{2} c^{2} d^{3} e^{3} f^{2} - 10 \, b^{2} c^{3} d^{2} e^{2} f^{3} + 5 \, b^{2} c^{4} d e f^{4} - b^{2} c^{5} f^{5}\right)} \log\left(F\right)^{2} - 20 \, {\left(b d^{3} e^{3} f^{2} - 3 \, b c d^{2} e^{2} f^{3} + 3 \, b c^{2} d e f^{4} - b c^{3} f^{5}\right)} \log\left(F\right)\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) - 2 \, {\left(4 \, d f^{5} + 2 \, {\left(b^{2} d^{5} f^{5} x^{4} + 5 \, b^{2} d^{5} e^{4} f - 10 \, b^{2} c d^{4} e^{3} f^{2} + 10 \, b^{2} c^{2} d^{3} e^{2} f^{3} - 5 \, b^{2} c^{3} d^{2} e f^{4} + b^{2} c^{4} d f^{5} + {\left(5 \, b^{2} d^{5} e f^{4} - b^{2} c d^{4} f^{5}\right)} x^{3} + {\left(10 \, b^{2} d^{5} e^{2} f^{3} - 5 \, b^{2} c d^{4} e f^{4} + b^{2} c^{2} d^{3} f^{5}\right)} x^{2} + {\left(10 \, b^{2} d^{5} e^{3} f^{2} - 10 \, b^{2} c d^{4} e^{2} f^{3} + 5 \, b^{2} c^{2} d^{3} e f^{4} - b^{2} c^{3} d^{2} f^{5}\right)} x\right)} \log\left(F\right)^{2} - {\left(4 \, b d^{3} f^{5} x^{2} + 20 \, b d^{3} e^{2} f^{3} - 25 \, b c d^{2} e f^{4} + 9 \, b c^{2} d f^{5} + {\left(15 \, b d^{3} e f^{4} - 7 \, b c d^{2} f^{5}\right)} x\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{8 \, b^{3} d^{7} \log\left(F\right)^{3}}"," ",0,"-1/8*(sqrt(pi)*(15*d*e*f^4 - 15*c*f^5 + 4*(b^2*d^5*e^5 - 5*b^2*c*d^4*e^4*f + 10*b^2*c^2*d^3*e^3*f^2 - 10*b^2*c^3*d^2*e^2*f^3 + 5*b^2*c^4*d*e*f^4 - b^2*c^5*f^5)*log(F)^2 - 20*(b*d^3*e^3*f^2 - 3*b*c*d^2*e^2*f^3 + 3*b*c^2*d*e*f^4 - b*c^3*f^5)*log(F))*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) - 2*(4*d*f^5 + 2*(b^2*d^5*f^5*x^4 + 5*b^2*d^5*e^4*f - 10*b^2*c*d^4*e^3*f^2 + 10*b^2*c^2*d^3*e^2*f^3 - 5*b^2*c^3*d^2*e*f^4 + b^2*c^4*d*f^5 + (5*b^2*d^5*e*f^4 - b^2*c*d^4*f^5)*x^3 + (10*b^2*d^5*e^2*f^3 - 5*b^2*c*d^4*e*f^4 + b^2*c^2*d^3*f^5)*x^2 + (10*b^2*d^5*e^3*f^2 - 10*b^2*c*d^4*e^2*f^3 + 5*b^2*c^2*d^3*e*f^4 - b^2*c^3*d^2*f^5)*x)*log(F)^2 - (4*b*d^3*f^5*x^2 + 20*b*d^3*e^2*f^3 - 25*b*c*d^2*e*f^4 + 9*b*c^2*d*f^5 + (15*b*d^3*e*f^4 - 7*b*c*d^2*f^5)*x)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^3*d^7*log(F)^3)","A",0
383,1,364,0,0.732946," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^4,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(3 \, f^{4} + 4 \, {\left(b^{2} d^{4} e^{4} - 4 \, b^{2} c d^{3} e^{3} f + 6 \, b^{2} c^{2} d^{2} e^{2} f^{2} - 4 \, b^{2} c^{3} d e f^{3} + b^{2} c^{4} f^{4}\right)} \log\left(F\right)^{2} - 12 \, {\left(b d^{2} e^{2} f^{2} - 2 \, b c d e f^{3} + b c^{2} f^{4}\right)} \log\left(F\right)\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) - 2 \, {\left(2 \, {\left(b^{2} d^{4} f^{4} x^{3} + 4 \, b^{2} d^{4} e^{3} f - 6 \, b^{2} c d^{3} e^{2} f^{2} + 4 \, b^{2} c^{2} d^{2} e f^{3} - b^{2} c^{3} d f^{4} + {\left(4 \, b^{2} d^{4} e f^{3} - b^{2} c d^{3} f^{4}\right)} x^{2} + {\left(6 \, b^{2} d^{4} e^{2} f^{2} - 4 \, b^{2} c d^{3} e f^{3} + b^{2} c^{2} d^{2} f^{4}\right)} x\right)} \log\left(F\right)^{2} - {\left(3 \, b d^{2} f^{4} x + 8 \, b d^{2} e f^{3} - 5 \, b c d f^{4}\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{8 \, b^{3} d^{6} \log\left(F\right)^{3}}"," ",0,"-1/8*(sqrt(pi)*(3*f^4 + 4*(b^2*d^4*e^4 - 4*b^2*c*d^3*e^3*f + 6*b^2*c^2*d^2*e^2*f^2 - 4*b^2*c^3*d*e*f^3 + b^2*c^4*f^4)*log(F)^2 - 12*(b*d^2*e^2*f^2 - 2*b*c*d*e*f^3 + b*c^2*f^4)*log(F))*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) - 2*(2*(b^2*d^4*f^4*x^3 + 4*b^2*d^4*e^3*f - 6*b^2*c*d^3*e^2*f^2 + 4*b^2*c^2*d^2*e*f^3 - b^2*c^3*d*f^4 + (4*b^2*d^4*e*f^3 - b^2*c*d^3*f^4)*x^2 + (6*b^2*d^4*e^2*f^2 - 4*b^2*c*d^3*e*f^3 + b^2*c^2*d^2*f^4)*x)*log(F)^2 - (3*b*d^2*f^4*x + 8*b*d^2*e*f^3 - 5*b*c*d*f^4)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^3*d^6*log(F)^3)","A",0
384,1,208,0,0.721385," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^3,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(3 \, d e f^{2} - 3 \, c f^{3} - 2 \, {\left(b d^{3} e^{3} - 3 \, b c d^{2} e^{2} f + 3 \, b c^{2} d e f^{2} - b c^{3} f^{3}\right)} \log\left(F\right)\right)} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) - 2 \, {\left(d f^{3} - {\left(b d^{3} f^{3} x^{2} + 3 \, b d^{3} e^{2} f - 3 \, b c d^{2} e f^{2} + b c^{2} d f^{3} + {\left(3 \, b d^{3} e f^{2} - b c d^{2} f^{3}\right)} x\right)} \log\left(F\right)\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{4 \, b^{2} d^{5} \log\left(F\right)^{2}}"," ",0,"1/4*(sqrt(pi)*(3*d*e*f^2 - 3*c*f^3 - 2*(b*d^3*e^3 - 3*b*c*d^2*e^2*f + 3*b*c^2*d*e*f^2 - b*c^3*f^3)*log(F))*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) - 2*(d*f^3 - (b*d^3*f^3*x^2 + 3*b*d^3*e^2*f - 3*b*c*d^2*e*f^2 + b*c^2*d*f^3 + (3*b*d^3*e*f^2 - b*c*d^2*f^3)*x)*log(F))*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a))/(b^2*d^5*log(F)^2)","A",0
385,1,135,0,0.754202," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e)^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} {\left(f^{2} - 2 \, {\left(b d^{2} e^{2} - 2 \, b c d e f + b c^{2} f^{2}\right)} \log\left(F\right)\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) + 2 \, {\left(b d^{2} f^{2} x + 2 \, b d^{2} e f - b c d f^{2}\right)} F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a} \log\left(F\right)}{4 \, b^{2} d^{4} \log\left(F\right)^{2}}"," ",0,"1/4*(sqrt(pi)*sqrt(-b*d^2*log(F))*(f^2 - 2*(b*d^2*e^2 - 2*b*c*d*e*f + b*c^2*f^2)*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) + 2*(b*d^2*f^2*x + 2*b*d^2*e*f - b*c*d*f^2)*F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)*log(F))/(b^2*d^4*log(F)^2)","A",0
386,1,85,0,0.665598," ","integrate(F^(a+b*(d*x+c)^2)*(f*x+e),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} {\left(d e - c f\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right) - F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a} d f}{2 \, b d^{3} \log\left(F\right)}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b*d^2*log(F))*(d*e - c*f)*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d) - F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)*d*f)/(b*d^3*log(F))","A",0
387,1,48,0,0.633198," ","integrate(F^(a+b*(d*x+c)^2),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b d^{2} \log\left(F\right)} F^{a} \operatorname{erf}\left(\frac{\sqrt{-b d^{2} \log\left(F\right)} {\left(d x + c\right)}}{d}\right)}{2 \, b d^{2} \log\left(F\right)}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*d^2*log(F))*F^a*erf(sqrt(-b*d^2*log(F))*(d*x + c)/d)/(b*d^2*log(F))","A",0
388,0,0,0,0.849559," ","integrate(F^(a+b*(d*x+c)^2)/(f*x+e),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{f x + e}, x\right)"," ",0,"integral(F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(f*x + e), x)","F",0
389,0,0,0,0.727190," ","integrate(F^(a+b*(d*x+c)^2)/(f*x+e)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{f^{2} x^{2} + 2 \, e f x + e^{2}}, x\right)"," ",0,"integral(F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(f^2*x^2 + 2*e*f*x + e^2), x)","F",0
390,0,0,0,0.838546," ","integrate(F^(a+b*(d*x+c)^2)/(f*x+e)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a}}{f^{3} x^{3} + 3 \, e f^{2} x^{2} + 3 \, e^{2} f x + e^{3}}, x\right)"," ",0,"integral(F^(b*d^2*x^2 + 2*b*c*d*x + b*c^2 + a)/(f^3*x^3 + 3*e*f^2*x^2 + 3*e^2*f*x + e^3), x)","F",0
391,1,239,0,0.636751," ","integrate(exp(e*(d*x+c)^3)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{9 \, {\left(b^{3} c^{2} d - 2 \, a b^{2} c d^{2} + a^{2} b d^{3}\right)} \left(-d^{3} e\right)^{\frac{1}{3}} e \Gamma\left(\frac{2}{3}, -d^{3} e x^{3} - 3 \, c d^{2} e x^{2} - 3 \, c^{2} d e x - c^{3} e\right) - \left(-d^{3} e\right)^{\frac{2}{3}} {\left(b^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} e\right)} \Gamma\left(\frac{1}{3}, -d^{3} e x^{3} - 3 \, c d^{2} e x^{2} - 3 \, c^{2} d e x - c^{3} e\right) + 3 \, {\left(b^{3} d^{3} e x - {\left(2 \, b^{3} c d^{2} - 3 \, a b^{2} d^{3}\right)} e\right)} e^{\left(d^{3} e x^{3} + 3 \, c d^{2} e x^{2} + 3 \, c^{2} d e x + c^{3} e\right)}}{9 \, d^{6} e^{2}}"," ",0,"1/9*(9*(b^3*c^2*d - 2*a*b^2*c*d^2 + a^2*b*d^3)*(-d^3*e)^(1/3)*e*gamma(2/3, -d^3*e*x^3 - 3*c*d^2*e*x^2 - 3*c^2*d*e*x - c^3*e) - (-d^3*e)^(2/3)*(b^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*e)*gamma(1/3, -d^3*e*x^3 - 3*c*d^2*e*x^2 - 3*c^2*d*e*x - c^3*e) + 3*(b^3*d^3*e*x - (2*b^3*c*d^2 - 3*a*b^2*d^3)*e)*e^(d^3*e*x^3 + 3*c*d^2*e*x^2 + 3*c^2*d*e*x + c^3*e))/(d^6*e^2)","A",0
392,1,175,0,0.795701," ","integrate(exp(e*(d*x+c)^3)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{b^{2} d^{2} e^{\left(d^{3} e x^{3} + 3 \, c d^{2} e x^{2} + 3 \, c^{2} d e x + c^{3} e\right)} + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} \left(-d^{3} e\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -d^{3} e x^{3} - 3 \, c d^{2} e x^{2} - 3 \, c^{2} d e x - c^{3} e\right) - 2 \, {\left(b^{2} c d - a b d^{2}\right)} \left(-d^{3} e\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -d^{3} e x^{3} - 3 \, c d^{2} e x^{2} - 3 \, c^{2} d e x - c^{3} e\right)}{3 \, d^{5} e}"," ",0,"1/3*(b^2*d^2*e^(d^3*e*x^3 + 3*c*d^2*e*x^2 + 3*c^2*d*e*x + c^3*e) + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*(-d^3*e)^(2/3)*gamma(1/3, -d^3*e*x^3 - 3*c*d^2*e*x^2 - 3*c^2*d*e*x - c^3*e) - 2*(b^2*c*d - a*b*d^2)*(-d^3*e)^(1/3)*gamma(2/3, -d^3*e*x^3 - 3*c*d^2*e*x^2 - 3*c^2*d*e*x - c^3*e))/(d^5*e)","A",0
393,1,110,0,0.684035," ","integrate(exp(e*(d*x+c)^3)*(b*x+a),x, algorithm=""fricas"")","\frac{\left(-d^{3} e\right)^{\frac{1}{3}} b d \Gamma\left(\frac{2}{3}, -d^{3} e x^{3} - 3 \, c d^{2} e x^{2} - 3 \, c^{2} d e x - c^{3} e\right) - \left(-d^{3} e\right)^{\frac{2}{3}} {\left(b c - a d\right)} \Gamma\left(\frac{1}{3}, -d^{3} e x^{3} - 3 \, c d^{2} e x^{2} - 3 \, c^{2} d e x - c^{3} e\right)}{3 \, d^{4} e}"," ",0,"1/3*((-d^3*e)^(1/3)*b*d*gamma(2/3, -d^3*e*x^3 - 3*c*d^2*e*x^2 - 3*c^2*d*e*x - c^3*e) - (-d^3*e)^(2/3)*(b*c - a*d)*gamma(1/3, -d^3*e*x^3 - 3*c*d^2*e*x^2 - 3*c^2*d*e*x - c^3*e))/(d^4*e)","A",0
394,1,52,0,0.775450," ","integrate(exp(e*(d*x+c)^3),x, algorithm=""fricas"")","\frac{\left(-d^{3} e\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -d^{3} e x^{3} - 3 \, c d^{2} e x^{2} - 3 \, c^{2} d e x - c^{3} e\right)}{3 \, d^{3} e}"," ",0,"1/3*(-d^3*e)^(2/3)*gamma(1/3, -d^3*e*x^3 - 3*c*d^2*e*x^2 - 3*c^2*d*e*x - c^3*e)/(d^3*e)","A",0
395,0,0,0,0.552590," ","integrate(exp(e*(d*x+c)^3)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(d^{3} e x^{3} + 3 \, c d^{2} e x^{2} + 3 \, c^{2} d e x + c^{3} e\right)}}{b x + a}, x\right)"," ",0,"integral(e^(d^3*e*x^3 + 3*c*d^2*e*x^2 + 3*c^2*d*e*x + c^3*e)/(b*x + a), x)","F",0
396,0,0,0,0.609038," ","integrate(exp(e*(d*x+c)^3)/(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(d^{3} e x^{3} + 3 \, c d^{2} e x^{2} + 3 \, c^{2} d e x + c^{3} e\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(e^(d^3*e*x^3 + 3*c*d^2*e*x^2 + 3*c^2*d*e*x + c^3*e)/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
397,1,89,0,0.730459," ","integrate(F^(a+b/(d*x+c))/(f*x+e),x, algorithm=""fricas"")","\frac{F^{\frac{a d e - {\left(a c + b\right)} f}{d e - c f}} {\rm Ei}\left(\frac{{\left(b d f x + b d e\right)} \log\left(F\right)}{c d e - c^{2} f + {\left(d^{2} e - c d f\right)} x}\right) - F^{a} {\rm Ei}\left(\frac{b \log\left(F\right)}{d x + c}\right)}{f}"," ",0,"(F^((a*d*e - (a*c + b)*f)/(d*e - c*f))*Ei((b*d*f*x + b*d*e)*log(F)/(c*d*e - c^2*f + (d^2*e - c*d*f)*x)) - F^a*Ei(b*log(F)/(d*x + c)))/f","A",0
398,1,179,0,0.661799," ","integrate(F^(a+b/(d*x+c))/(f*x+e)^2,x, algorithm=""fricas"")","-\frac{{\left(b d f x + b d e\right)} F^{\frac{a d e - {\left(a c + b\right)} f}{d e - c f}} {\rm Ei}\left(\frac{{\left(b d f x + b d e\right)} \log\left(F\right)}{c d e - c^{2} f + {\left(d^{2} e - c d f\right)} x}\right) \log\left(F\right) - {\left(c d e - c^{2} f + {\left(d^{2} e - c d f\right)} x\right)} F^{\frac{a d x + a c + b}{d x + c}}}{d^{2} e^{3} - 2 \, c d e^{2} f + c^{2} e f^{2} + {\left(d^{2} e^{2} f - 2 \, c d e f^{2} + c^{2} f^{3}\right)} x}"," ",0,"-((b*d*f*x + b*d*e)*F^((a*d*e - (a*c + b)*f)/(d*e - c*f))*Ei((b*d*f*x + b*d*e)*log(F)/(c*d*e - c^2*f + (d^2*e - c*d*f)*x))*log(F) - (c*d*e - c^2*f + (d^2*e - c*d*f)*x)*F^((a*d*x + a*c + b)/(d*x + c)))/(d^2*e^3 - 2*c*d*e^2*f + c^2*e*f^2 + (d^2*e^2*f - 2*c*d*e*f^2 + c^2*f^3)*x)","A",0
399,1,555,0,0.825408," ","integrate(F^(a+b/(d*x+c))/(f*x+e)^3,x, algorithm=""fricas"")","\frac{{\left({\left(b^{2} d^{2} f^{3} x^{2} + 2 \, b^{2} d^{2} e f^{2} x + b^{2} d^{2} e^{2} f\right)} \log\left(F\right)^{2} - 2 \, {\left(b d^{3} e^{3} - b c d^{2} e^{2} f + {\left(b d^{3} e f^{2} - b c d^{2} f^{3}\right)} x^{2} + 2 \, {\left(b d^{3} e^{2} f - b c d^{2} e f^{2}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{a d e - {\left(a c + b\right)} f}{d e - c f}} {\rm Ei}\left(\frac{{\left(b d f x + b d e\right)} \log\left(F\right)}{c d e - c^{2} f + {\left(d^{2} e - c d f\right)} x}\right) + {\left(2 \, c d^{3} e^{3} - 5 \, c^{2} d^{2} e^{2} f + 4 \, c^{3} d e f^{2} - c^{4} f^{3} + {\left(d^{4} e^{2} f - 2 \, c d^{3} e f^{2} + c^{2} d^{2} f^{3}\right)} x^{2} + 2 \, {\left(d^{4} e^{3} - 2 \, c d^{3} e^{2} f + c^{2} d^{2} e f^{2}\right)} x - {\left(b c d^{2} e^{2} f - b c^{2} d e f^{2} + {\left(b d^{3} e f^{2} - b c d^{2} f^{3}\right)} x^{2} + {\left(b d^{3} e^{2} f - b c^{2} d f^{3}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{2 \, {\left(d^{4} e^{6} - 4 \, c d^{3} e^{5} f + 6 \, c^{2} d^{2} e^{4} f^{2} - 4 \, c^{3} d e^{3} f^{3} + c^{4} e^{2} f^{4} + {\left(d^{4} e^{4} f^{2} - 4 \, c d^{3} e^{3} f^{3} + 6 \, c^{2} d^{2} e^{2} f^{4} - 4 \, c^{3} d e f^{5} + c^{4} f^{6}\right)} x^{2} + 2 \, {\left(d^{4} e^{5} f - 4 \, c d^{3} e^{4} f^{2} + 6 \, c^{2} d^{2} e^{3} f^{3} - 4 \, c^{3} d e^{2} f^{4} + c^{4} e f^{5}\right)} x\right)}}"," ",0,"1/2*(((b^2*d^2*f^3*x^2 + 2*b^2*d^2*e*f^2*x + b^2*d^2*e^2*f)*log(F)^2 - 2*(b*d^3*e^3 - b*c*d^2*e^2*f + (b*d^3*e*f^2 - b*c*d^2*f^3)*x^2 + 2*(b*d^3*e^2*f - b*c*d^2*e*f^2)*x)*log(F))*F^((a*d*e - (a*c + b)*f)/(d*e - c*f))*Ei((b*d*f*x + b*d*e)*log(F)/(c*d*e - c^2*f + (d^2*e - c*d*f)*x)) + (2*c*d^3*e^3 - 5*c^2*d^2*e^2*f + 4*c^3*d*e*f^2 - c^4*f^3 + (d^4*e^2*f - 2*c*d^3*e*f^2 + c^2*d^2*f^3)*x^2 + 2*(d^4*e^3 - 2*c*d^3*e^2*f + c^2*d^2*e*f^2)*x - (b*c*d^2*e^2*f - b*c^2*d*e*f^2 + (b*d^3*e*f^2 - b*c*d^2*f^3)*x^2 + (b*d^3*e^2*f - b*c^2*d*f^3)*x)*log(F))*F^((a*d*x + a*c + b)/(d*x + c)))/(d^4*e^6 - 4*c*d^3*e^5*f + 6*c^2*d^2*e^4*f^2 - 4*c^3*d*e^3*f^3 + c^4*e^2*f^4 + (d^4*e^4*f^2 - 4*c*d^3*e^3*f^3 + 6*c^2*d^2*e^2*f^4 - 4*c^3*d*e*f^5 + c^4*f^6)*x^2 + 2*(d^4*e^5*f - 4*c*d^3*e^4*f^2 + 6*c^2*d^2*e^3*f^3 - 4*c^3*d*e^2*f^4 + c^4*e*f^5)*x)","B",0
400,1,1376,0,0.855140," ","integrate(F^(a+b/(d*x+c))/(f*x+e)^4,x, algorithm=""fricas"")","-\frac{{\left({\left(b^{3} d^{3} f^{5} x^{3} + 3 \, b^{3} d^{3} e f^{4} x^{2} + 3 \, b^{3} d^{3} e^{2} f^{3} x + b^{3} d^{3} e^{3} f^{2}\right)} \log\left(F\right)^{3} - 6 \, {\left(b^{2} d^{4} e^{4} f - b^{2} c d^{3} e^{3} f^{2} + {\left(b^{2} d^{4} e f^{4} - b^{2} c d^{3} f^{5}\right)} x^{3} + 3 \, {\left(b^{2} d^{4} e^{2} f^{3} - b^{2} c d^{3} e f^{4}\right)} x^{2} + 3 \, {\left(b^{2} d^{4} e^{3} f^{2} - b^{2} c d^{3} e^{2} f^{3}\right)} x\right)} \log\left(F\right)^{2} + 6 \, {\left(b d^{5} e^{5} - 2 \, b c d^{4} e^{4} f + b c^{2} d^{3} e^{3} f^{2} + {\left(b d^{5} e^{2} f^{3} - 2 \, b c d^{4} e f^{4} + b c^{2} d^{3} f^{5}\right)} x^{3} + 3 \, {\left(b d^{5} e^{3} f^{2} - 2 \, b c d^{4} e^{2} f^{3} + b c^{2} d^{3} e f^{4}\right)} x^{2} + 3 \, {\left(b d^{5} e^{4} f - 2 \, b c d^{4} e^{3} f^{2} + b c^{2} d^{3} e^{2} f^{3}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{a d e - {\left(a c + b\right)} f}{d e - c f}} {\rm Ei}\left(\frac{{\left(b d f x + b d e\right)} \log\left(F\right)}{c d e - c^{2} f + {\left(d^{2} e - c d f\right)} x}\right) - {\left(6 \, c d^{5} e^{5} - 24 \, c^{2} d^{4} e^{4} f + 38 \, c^{3} d^{3} e^{3} f^{2} - 30 \, c^{4} d^{2} e^{2} f^{3} + 12 \, c^{5} d e f^{4} - 2 \, c^{6} f^{5} + 2 \, {\left(d^{6} e^{3} f^{2} - 3 \, c d^{5} e^{2} f^{3} + 3 \, c^{2} d^{4} e f^{4} - c^{3} d^{3} f^{5}\right)} x^{3} + 6 \, {\left(d^{6} e^{4} f - 3 \, c d^{5} e^{3} f^{2} + 3 \, c^{2} d^{4} e^{2} f^{3} - c^{3} d^{3} e f^{4}\right)} x^{2} + {\left(b^{2} c d^{3} e^{3} f^{2} - b^{2} c^{2} d^{2} e^{2} f^{3} + {\left(b^{2} d^{4} e f^{4} - b^{2} c d^{3} f^{5}\right)} x^{3} + {\left(2 \, b^{2} d^{4} e^{2} f^{3} - b^{2} c d^{3} e f^{4} - b^{2} c^{2} d^{2} f^{5}\right)} x^{2} + {\left(b^{2} d^{4} e^{3} f^{2} + b^{2} c d^{3} e^{2} f^{3} - 2 \, b^{2} c^{2} d^{2} e f^{4}\right)} x\right)} \log\left(F\right)^{2} + 6 \, {\left(d^{6} e^{5} - 3 \, c d^{5} e^{4} f + 3 \, c^{2} d^{4} e^{3} f^{2} - c^{3} d^{3} e^{2} f^{3}\right)} x - {\left(6 \, b c d^{4} e^{4} f - 13 \, b c^{2} d^{3} e^{3} f^{2} + 8 \, b c^{3} d^{2} e^{2} f^{3} - b c^{4} d e f^{4} + 5 \, {\left(b d^{5} e^{2} f^{3} - 2 \, b c d^{4} e f^{4} + b c^{2} d^{3} f^{5}\right)} x^{3} + {\left(11 \, b d^{5} e^{3} f^{2} - 18 \, b c d^{4} e^{2} f^{3} + 3 \, b c^{2} d^{3} e f^{4} + 4 \, b c^{3} d^{2} f^{5}\right)} x^{2} + {\left(6 \, b d^{5} e^{4} f - 2 \, b c d^{4} e^{3} f^{2} - 15 \, b c^{2} d^{3} e^{2} f^{3} + 12 \, b c^{3} d^{2} e f^{4} - b c^{4} d f^{5}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{a d x + a c + b}{d x + c}}}{6 \, {\left(d^{6} e^{9} - 6 \, c d^{5} e^{8} f + 15 \, c^{2} d^{4} e^{7} f^{2} - 20 \, c^{3} d^{3} e^{6} f^{3} + 15 \, c^{4} d^{2} e^{5} f^{4} - 6 \, c^{5} d e^{4} f^{5} + c^{6} e^{3} f^{6} + {\left(d^{6} e^{6} f^{3} - 6 \, c d^{5} e^{5} f^{4} + 15 \, c^{2} d^{4} e^{4} f^{5} - 20 \, c^{3} d^{3} e^{3} f^{6} + 15 \, c^{4} d^{2} e^{2} f^{7} - 6 \, c^{5} d e f^{8} + c^{6} f^{9}\right)} x^{3} + 3 \, {\left(d^{6} e^{7} f^{2} - 6 \, c d^{5} e^{6} f^{3} + 15 \, c^{2} d^{4} e^{5} f^{4} - 20 \, c^{3} d^{3} e^{4} f^{5} + 15 \, c^{4} d^{2} e^{3} f^{6} - 6 \, c^{5} d e^{2} f^{7} + c^{6} e f^{8}\right)} x^{2} + 3 \, {\left(d^{6} e^{8} f - 6 \, c d^{5} e^{7} f^{2} + 15 \, c^{2} d^{4} e^{6} f^{3} - 20 \, c^{3} d^{3} e^{5} f^{4} + 15 \, c^{4} d^{2} e^{4} f^{5} - 6 \, c^{5} d e^{3} f^{6} + c^{6} e^{2} f^{7}\right)} x\right)}}"," ",0,"-1/6*(((b^3*d^3*f^5*x^3 + 3*b^3*d^3*e*f^4*x^2 + 3*b^3*d^3*e^2*f^3*x + b^3*d^3*e^3*f^2)*log(F)^3 - 6*(b^2*d^4*e^4*f - b^2*c*d^3*e^3*f^2 + (b^2*d^4*e*f^4 - b^2*c*d^3*f^5)*x^3 + 3*(b^2*d^4*e^2*f^3 - b^2*c*d^3*e*f^4)*x^2 + 3*(b^2*d^4*e^3*f^2 - b^2*c*d^3*e^2*f^3)*x)*log(F)^2 + 6*(b*d^5*e^5 - 2*b*c*d^4*e^4*f + b*c^2*d^3*e^3*f^2 + (b*d^5*e^2*f^3 - 2*b*c*d^4*e*f^4 + b*c^2*d^3*f^5)*x^3 + 3*(b*d^5*e^3*f^2 - 2*b*c*d^4*e^2*f^3 + b*c^2*d^3*e*f^4)*x^2 + 3*(b*d^5*e^4*f - 2*b*c*d^4*e^3*f^2 + b*c^2*d^3*e^2*f^3)*x)*log(F))*F^((a*d*e - (a*c + b)*f)/(d*e - c*f))*Ei((b*d*f*x + b*d*e)*log(F)/(c*d*e - c^2*f + (d^2*e - c*d*f)*x)) - (6*c*d^5*e^5 - 24*c^2*d^4*e^4*f + 38*c^3*d^3*e^3*f^2 - 30*c^4*d^2*e^2*f^3 + 12*c^5*d*e*f^4 - 2*c^6*f^5 + 2*(d^6*e^3*f^2 - 3*c*d^5*e^2*f^3 + 3*c^2*d^4*e*f^4 - c^3*d^3*f^5)*x^3 + 6*(d^6*e^4*f - 3*c*d^5*e^3*f^2 + 3*c^2*d^4*e^2*f^3 - c^3*d^3*e*f^4)*x^2 + (b^2*c*d^3*e^3*f^2 - b^2*c^2*d^2*e^2*f^3 + (b^2*d^4*e*f^4 - b^2*c*d^3*f^5)*x^3 + (2*b^2*d^4*e^2*f^3 - b^2*c*d^3*e*f^4 - b^2*c^2*d^2*f^5)*x^2 + (b^2*d^4*e^3*f^2 + b^2*c*d^3*e^2*f^3 - 2*b^2*c^2*d^2*e*f^4)*x)*log(F)^2 + 6*(d^6*e^5 - 3*c*d^5*e^4*f + 3*c^2*d^4*e^3*f^2 - c^3*d^3*e^2*f^3)*x - (6*b*c*d^4*e^4*f - 13*b*c^2*d^3*e^3*f^2 + 8*b*c^3*d^2*e^2*f^3 - b*c^4*d*e*f^4 + 5*(b*d^5*e^2*f^3 - 2*b*c*d^4*e*f^4 + b*c^2*d^3*f^5)*x^3 + (11*b*d^5*e^3*f^2 - 18*b*c*d^4*e^2*f^3 + 3*b*c^2*d^3*e*f^4 + 4*b*c^3*d^2*f^5)*x^2 + (6*b*d^5*e^4*f - 2*b*c*d^4*e^3*f^2 - 15*b*c^2*d^3*e^2*f^3 + 12*b*c^3*d^2*e*f^4 - b*c^4*d*f^5)*x)*log(F))*F^((a*d*x + a*c + b)/(d*x + c)))/(d^6*e^9 - 6*c*d^5*e^8*f + 15*c^2*d^4*e^7*f^2 - 20*c^3*d^3*e^6*f^3 + 15*c^4*d^2*e^5*f^4 - 6*c^5*d*e^4*f^5 + c^6*e^3*f^6 + (d^6*e^6*f^3 - 6*c*d^5*e^5*f^4 + 15*c^2*d^4*e^4*f^5 - 20*c^3*d^3*e^3*f^6 + 15*c^4*d^2*e^2*f^7 - 6*c^5*d*e*f^8 + c^6*f^9)*x^3 + 3*(d^6*e^7*f^2 - 6*c*d^5*e^6*f^3 + 15*c^2*d^4*e^5*f^4 - 20*c^3*d^3*e^4*f^5 + 15*c^4*d^2*e^3*f^6 - 6*c^5*d*e^2*f^7 + c^6*e*f^8)*x^2 + 3*(d^6*e^8*f - 6*c*d^5*e^7*f^2 + 15*c^2*d^4*e^6*f^3 - 20*c^3*d^3*e^5*f^4 + 15*c^4*d^2*e^4*f^5 - 6*c^5*d*e^3*f^6 + c^6*e^2*f^7)*x)","B",0
401,1,638,0,0.866170," ","integrate(exp(e/(d*x+c))*(b*x+a)^4,x, algorithm=""fricas"")","-\frac{{\left(b^{4} e^{5} - 20 \, {\left(b^{4} c - a b^{3} d\right)} e^{4} + 120 \, {\left(b^{4} c^{2} - 2 \, a b^{3} c d + a^{2} b^{2} d^{2}\right)} e^{3} - 240 \, {\left(b^{4} c^{3} - 3 \, a b^{3} c^{2} d + 3 \, a^{2} b^{2} c d^{2} - a^{3} b d^{3}\right)} e^{2} + 120 \, {\left(b^{4} c^{4} - 4 \, a b^{3} c^{3} d + 6 \, a^{2} b^{2} c^{2} d^{2} - 4 \, a^{3} b c d^{3} + a^{4} d^{4}\right)} e\right)} {\rm Ei}\left(\frac{e}{d x + c}\right) - {\left(24 \, b^{4} d^{5} x^{5} + 24 \, b^{4} c^{5} - 120 \, a b^{3} c^{4} d + 240 \, a^{2} b^{2} c^{3} d^{2} - 240 \, a^{3} b c^{2} d^{3} + 120 \, a^{4} c d^{4} + b^{4} c e^{4} + 6 \, {\left(20 \, a b^{3} d^{5} + b^{4} d^{4} e\right)} x^{4} - {\left(19 \, b^{4} c^{2} - 20 \, a b^{3} c d\right)} e^{3} + 2 \, {\left(120 \, a^{2} b^{2} d^{5} + b^{4} d^{3} e^{2} - 4 \, {\left(2 \, b^{4} c d^{3} - 5 \, a b^{3} d^{4}\right)} e\right)} x^{3} + 2 \, {\left(51 \, b^{4} c^{3} - 110 \, a b^{3} c^{2} d + 60 \, a^{2} b^{2} c d^{2}\right)} e^{2} + {\left(240 \, a^{3} b d^{5} + b^{4} d^{2} e^{3} - 2 \, {\left(7 \, b^{4} c d^{2} - 10 \, a b^{3} d^{3}\right)} e^{2} + 12 \, {\left(3 \, b^{4} c^{2} d^{2} - 10 \, a b^{3} c d^{3} + 10 \, a^{2} b^{2} d^{4}\right)} e\right)} x^{2} - 2 \, {\left(77 \, b^{4} c^{4} - 260 \, a b^{3} c^{3} d + 300 \, a^{2} b^{2} c^{2} d^{2} - 120 \, a^{3} b c d^{3}\right)} e + {\left(120 \, a^{4} d^{5} + b^{4} d e^{4} - 2 \, {\left(9 \, b^{4} c d - 10 \, a b^{3} d^{2}\right)} e^{3} + 2 \, {\left(43 \, b^{4} c^{2} d - 100 \, a b^{3} c d^{2} + 60 \, a^{2} b^{2} d^{3}\right)} e^{2} - 24 \, {\left(4 \, b^{4} c^{3} d - 15 \, a b^{3} c^{2} d^{2} + 20 \, a^{2} b^{2} c d^{3} - 10 \, a^{3} b d^{4}\right)} e\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{120 \, d^{5}}"," ",0,"-1/120*((b^4*e^5 - 20*(b^4*c - a*b^3*d)*e^4 + 120*(b^4*c^2 - 2*a*b^3*c*d + a^2*b^2*d^2)*e^3 - 240*(b^4*c^3 - 3*a*b^3*c^2*d + 3*a^2*b^2*c*d^2 - a^3*b*d^3)*e^2 + 120*(b^4*c^4 - 4*a*b^3*c^3*d + 6*a^2*b^2*c^2*d^2 - 4*a^3*b*c*d^3 + a^4*d^4)*e)*Ei(e/(d*x + c)) - (24*b^4*d^5*x^5 + 24*b^4*c^5 - 120*a*b^3*c^4*d + 240*a^2*b^2*c^3*d^2 - 240*a^3*b*c^2*d^3 + 120*a^4*c*d^4 + b^4*c*e^4 + 6*(20*a*b^3*d^5 + b^4*d^4*e)*x^4 - (19*b^4*c^2 - 20*a*b^3*c*d)*e^3 + 2*(120*a^2*b^2*d^5 + b^4*d^3*e^2 - 4*(2*b^4*c*d^3 - 5*a*b^3*d^4)*e)*x^3 + 2*(51*b^4*c^3 - 110*a*b^3*c^2*d + 60*a^2*b^2*c*d^2)*e^2 + (240*a^3*b*d^5 + b^4*d^2*e^3 - 2*(7*b^4*c*d^2 - 10*a*b^3*d^3)*e^2 + 12*(3*b^4*c^2*d^2 - 10*a*b^3*c*d^3 + 10*a^2*b^2*d^4)*e)*x^2 - 2*(77*b^4*c^4 - 260*a*b^3*c^3*d + 300*a^2*b^2*c^2*d^2 - 120*a^3*b*c*d^3)*e + (120*a^4*d^5 + b^4*d*e^4 - 2*(9*b^4*c*d - 10*a*b^3*d^2)*e^3 + 2*(43*b^4*c^2*d - 100*a*b^3*c*d^2 + 60*a^2*b^2*d^3)*e^2 - 24*(4*b^4*c^3*d - 15*a*b^3*c^2*d^2 + 20*a^2*b^2*c*d^3 - 10*a^3*b*d^4)*e)*x)*e^(e/(d*x + c)))/d^5","B",0
402,1,377,0,0.902179," ","integrate(exp(e/(d*x+c))*(b*x+a)^3,x, algorithm=""fricas"")","-\frac{{\left(b^{3} e^{4} - 12 \, {\left(b^{3} c - a b^{2} d\right)} e^{3} + 36 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} e^{2} - 24 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} e\right)} {\rm Ei}\left(\frac{e}{d x + c}\right) - {\left(6 \, b^{3} d^{4} x^{4} - 6 \, b^{3} c^{4} + 24 \, a b^{2} c^{3} d - 36 \, a^{2} b c^{2} d^{2} + 24 \, a^{3} c d^{3} + b^{3} c e^{3} + 2 \, {\left(12 \, a b^{2} d^{4} + b^{3} d^{3} e\right)} x^{3} - {\left(11 \, b^{3} c^{2} - 12 \, a b^{2} c d\right)} e^{2} + {\left(36 \, a^{2} b d^{4} + b^{3} d^{2} e^{2} - 6 \, {\left(b^{3} c d^{2} - 2 \, a b^{2} d^{3}\right)} e\right)} x^{2} + 2 \, {\left(13 \, b^{3} c^{3} - 30 \, a b^{2} c^{2} d + 18 \, a^{2} b c d^{2}\right)} e + {\left(24 \, a^{3} d^{4} + b^{3} d e^{3} - 2 \, {\left(5 \, b^{3} c d - 6 \, a b^{2} d^{2}\right)} e^{2} + 6 \, {\left(3 \, b^{3} c^{2} d - 8 \, a b^{2} c d^{2} + 6 \, a^{2} b d^{3}\right)} e\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{24 \, d^{4}}"," ",0,"-1/24*((b^3*e^4 - 12*(b^3*c - a*b^2*d)*e^3 + 36*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*e^2 - 24*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*e)*Ei(e/(d*x + c)) - (6*b^3*d^4*x^4 - 6*b^3*c^4 + 24*a*b^2*c^3*d - 36*a^2*b*c^2*d^2 + 24*a^3*c*d^3 + b^3*c*e^3 + 2*(12*a*b^2*d^4 + b^3*d^3*e)*x^3 - (11*b^3*c^2 - 12*a*b^2*c*d)*e^2 + (36*a^2*b*d^4 + b^3*d^2*e^2 - 6*(b^3*c*d^2 - 2*a*b^2*d^3)*e)*x^2 + 2*(13*b^3*c^3 - 30*a*b^2*c^2*d + 18*a^2*b*c*d^2)*e + (24*a^3*d^4 + b^3*d*e^3 - 2*(5*b^3*c*d - 6*a*b^2*d^2)*e^2 + 6*(3*b^3*c^2*d - 8*a*b^2*c*d^2 + 6*a^2*b*d^3)*e)*x)*e^(e/(d*x + c)))/d^4","B",0
403,1,197,0,0.923394," ","integrate(exp(e/(d*x+c))*(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(b^{2} e^{3} - 6 \, {\left(b^{2} c - a b d\right)} e^{2} + 6 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} e\right)} {\rm Ei}\left(\frac{e}{d x + c}\right) - {\left(2 \, b^{2} d^{3} x^{3} + 2 \, b^{2} c^{3} - 6 \, a b c^{2} d + 6 \, a^{2} c d^{2} + b^{2} c e^{2} + {\left(6 \, a b d^{3} + b^{2} d^{2} e\right)} x^{2} - {\left(5 \, b^{2} c^{2} - 6 \, a b c d\right)} e + {\left(6 \, a^{2} d^{3} + b^{2} d e^{2} - 2 \, {\left(2 \, b^{2} c d - 3 \, a b d^{2}\right)} e\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{6 \, d^{3}}"," ",0,"-1/6*((b^2*e^3 - 6*(b^2*c - a*b*d)*e^2 + 6*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*e)*Ei(e/(d*x + c)) - (2*b^2*d^3*x^3 + 2*b^2*c^3 - 6*a*b*c^2*d + 6*a^2*c*d^2 + b^2*c*e^2 + (6*a*b*d^3 + b^2*d^2*e)*x^2 - (5*b^2*c^2 - 6*a*b*c*d)*e + (6*a^2*d^3 + b^2*d*e^2 - 2*(2*b^2*c*d - 3*a*b*d^2)*e)*x)*e^(e/(d*x + c)))/d^3","A",0
404,1,83,0,0.842548," ","integrate(exp(e/(d*x+c))*(b*x+a),x, algorithm=""fricas"")","-\frac{{\left(b e^{2} - 2 \, {\left(b c - a d\right)} e\right)} {\rm Ei}\left(\frac{e}{d x + c}\right) - {\left(b d^{2} x^{2} - b c^{2} + 2 \, a c d + b c e + {\left(2 \, a d^{2} + b d e\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{2 \, d^{2}}"," ",0,"-1/2*((b*e^2 - 2*(b*c - a*d)*e)*Ei(e/(d*x + c)) - (b*d^2*x^2 - b*c^2 + 2*a*c*d + b*c*e + (2*a*d^2 + b*d*e)*x)*e^(e/(d*x + c)))/d^2","A",0
405,1,35,0,0.792459," ","integrate(exp(e/(d*x+c)),x, algorithm=""fricas"")","-\frac{e {\rm Ei}\left(\frac{e}{d x + c}\right) - {\left(d x + c\right)} e^{\left(\frac{e}{d x + c}\right)}}{d}"," ",0,"-(e*Ei(e/(d*x + c)) - (d*x + c)*e^(e/(d*x + c)))/d","A",0
406,1,71,0,0.960553," ","integrate(exp(e/(d*x+c))/(b*x+a),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(-\frac{b d e x + a d e}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}\right) e^{\left(\frac{b e}{b c - a d}\right)} - {\rm Ei}\left(\frac{e}{d x + c}\right)}{b}"," ",0,"(Ei(-(b*d*e*x + a*d*e)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x))*e^(b*e/(b*c - a*d)) - Ei(e/(d*x + c)))/b","A",0
407,1,154,0,0.829892," ","integrate(exp(e/(d*x+c))/(b*x+a)^2,x, algorithm=""fricas"")","-\frac{{\left(b d e x + a d e\right)} {\rm Ei}\left(-\frac{b d e x + a d e}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}\right) e^{\left(\frac{b e}{b c - a d}\right)} + {\left(b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{a b^{2} c^{2} - 2 \, a^{2} b c d + a^{3} d^{2} + {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} x}"," ",0,"-((b*d*e*x + a*d*e)*Ei(-(b*d*e*x + a*d*e)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x))*e^(b*e/(b*c - a*d)) + (b*c^2 - a*c*d + (b*c*d - a*d^2)*x)*e^(e/(d*x + c)))/(a*b^2*c^2 - 2*a^2*b*c*d + a^3*d^2 + (b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*x)","A",0
408,1,517,0,0.963842," ","integrate(exp(e/(d*x+c))/(b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(a^{2} b d^{2} e^{2} + {\left(b^{3} d^{2} e^{2} + 2 \, {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} e\right)} x^{2} + 2 \, {\left(a^{2} b c d^{2} - a^{3} d^{3}\right)} e + 2 \, {\left(a b^{2} d^{2} e^{2} + 2 \, {\left(a b^{2} c d^{2} - a^{2} b d^{3}\right)} e\right)} x\right)} {\rm Ei}\left(-\frac{b d e x + a d e}{b c^{2} - a c d + {\left(b c d - a d^{2}\right)} x}\right) e^{\left(\frac{b e}{b c - a d}\right)} - {\left(b^{3} c^{4} - 4 \, a b^{2} c^{3} d + 5 \, a^{2} b c^{2} d^{2} - 2 \, a^{3} c d^{3} - {\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4} + {\left(b^{3} c d^{2} - a b^{2} d^{3}\right)} e\right)} x^{2} - {\left(a b^{2} c^{2} d - a^{2} b c d^{2}\right)} e - {\left(2 \, a b^{2} c^{2} d^{2} - 4 \, a^{2} b c d^{3} + 2 \, a^{3} d^{4} + {\left(b^{3} c^{2} d - a^{2} b d^{3}\right)} e\right)} x\right)} e^{\left(\frac{e}{d x + c}\right)}}{2 \, {\left(a^{2} b^{4} c^{4} - 4 \, a^{3} b^{3} c^{3} d + 6 \, a^{4} b^{2} c^{2} d^{2} - 4 \, a^{5} b c d^{3} + a^{6} d^{4} + {\left(b^{6} c^{4} - 4 \, a b^{5} c^{3} d + 6 \, a^{2} b^{4} c^{2} d^{2} - 4 \, a^{3} b^{3} c d^{3} + a^{4} b^{2} d^{4}\right)} x^{2} + 2 \, {\left(a b^{5} c^{4} - 4 \, a^{2} b^{4} c^{3} d + 6 \, a^{3} b^{3} c^{2} d^{2} - 4 \, a^{4} b^{2} c d^{3} + a^{5} b d^{4}\right)} x\right)}}"," ",0,"1/2*((a^2*b*d^2*e^2 + (b^3*d^2*e^2 + 2*(b^3*c*d^2 - a*b^2*d^3)*e)*x^2 + 2*(a^2*b*c*d^2 - a^3*d^3)*e + 2*(a*b^2*d^2*e^2 + 2*(a*b^2*c*d^2 - a^2*b*d^3)*e)*x)*Ei(-(b*d*e*x + a*d*e)/(b*c^2 - a*c*d + (b*c*d - a*d^2)*x))*e^(b*e/(b*c - a*d)) - (b^3*c^4 - 4*a*b^2*c^3*d + 5*a^2*b*c^2*d^2 - 2*a^3*c*d^3 - (b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4 + (b^3*c*d^2 - a*b^2*d^3)*e)*x^2 - (a*b^2*c^2*d - a^2*b*c*d^2)*e - (2*a*b^2*c^2*d^2 - 4*a^2*b*c*d^3 + 2*a^3*d^4 + (b^3*c^2*d - a^2*b*d^3)*e)*x)*e^(e/(d*x + c)))/(a^2*b^4*c^4 - 4*a^3*b^3*c^3*d + 6*a^4*b^2*c^2*d^2 - 4*a^5*b*c*d^3 + a^6*d^4 + (b^6*c^4 - 4*a*b^5*c^3*d + 6*a^2*b^4*c^2*d^2 - 4*a^3*b^3*c*d^3 + a^4*b^2*d^4)*x^2 + 2*(a*b^5*c^4 - 4*a^2*b^4*c^3*d + 6*a^3*b^3*c^2*d^2 - 4*a^4*b^2*c*d^3 + a^5*b*d^4)*x)","B",0
409,1,311,0,1.002343," ","integrate(exp(e/(d*x+c)^2)*(b*x+a)^3,x, algorithm=""fricas"")","-\frac{4 \, \sqrt{\pi} {\left(b^{3} c^{3} d - 3 \, a b^{2} c^{2} d^{2} + 3 \, a^{2} b c d^{3} - a^{3} d^{4} + 2 \, {\left(b^{3} c d - a b^{2} d^{2}\right)} e\right)} \sqrt{-\frac{e}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{e}{d^{2}}}}{d x + c}\right) + {\left(b^{3} e^{2} + 6 \, {\left(b^{3} c^{2} - 2 \, a b^{2} c d + a^{2} b d^{2}\right)} e\right)} {\rm Ei}\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) - {\left(b^{3} d^{4} x^{4} + 4 \, a b^{2} d^{4} x^{3} - b^{3} c^{4} + 4 \, a b^{2} c^{3} d - 6 \, a^{2} b c^{2} d^{2} + 4 \, a^{3} c d^{3} + {\left(6 \, a^{2} b d^{4} + b^{3} d^{2} e\right)} x^{2} - {\left(7 \, b^{3} c^{2} - 8 \, a b^{2} c d\right)} e + 2 \, {\left(2 \, a^{3} d^{4} - {\left(3 \, b^{3} c d - 4 \, a b^{2} d^{2}\right)} e\right)} x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{4 \, d^{4}}"," ",0,"-1/4*(4*sqrt(pi)*(b^3*c^3*d - 3*a*b^2*c^2*d^2 + 3*a^2*b*c*d^3 - a^3*d^4 + 2*(b^3*c*d - a*b^2*d^2)*e)*sqrt(-e/d^2)*erf(d*sqrt(-e/d^2)/(d*x + c)) + (b^3*e^2 + 6*(b^3*c^2 - 2*a*b^2*c*d + a^2*b*d^2)*e)*Ei(e/(d^2*x^2 + 2*c*d*x + c^2)) - (b^3*d^4*x^4 + 4*a*b^2*d^4*x^3 - b^3*c^4 + 4*a*b^2*c^3*d - 6*a^2*b*c^2*d^2 + 4*a^3*c*d^3 + (6*a^2*b*d^4 + b^3*d^2*e)*x^2 - (7*b^3*c^2 - 8*a*b^2*c*d)*e + 2*(2*a^3*d^4 - (3*b^3*c*d - 4*a*b^2*d^2)*e)*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2)))/d^4","A",0
410,1,196,0,0.868306," ","integrate(exp(e/(d*x+c)^2)*(b*x+a)^2,x, algorithm=""fricas"")","\frac{3 \, {\left(b^{2} c - a b d\right)} e {\rm Ei}\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + \sqrt{\pi} {\left(3 \, b^{2} c^{2} d - 6 \, a b c d^{2} + 3 \, a^{2} d^{3} + 2 \, b^{2} d e\right)} \sqrt{-\frac{e}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{e}{d^{2}}}}{d x + c}\right) + {\left(b^{2} d^{3} x^{3} + 3 \, a b d^{3} x^{2} + b^{2} c^{3} - 3 \, a b c^{2} d + 3 \, a^{2} c d^{2} + 2 \, b^{2} c e + {\left(3 \, a^{2} d^{3} + 2 \, b^{2} d e\right)} x\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{3 \, d^{3}}"," ",0,"1/3*(3*(b^2*c - a*b*d)*e*Ei(e/(d^2*x^2 + 2*c*d*x + c^2)) + sqrt(pi)*(3*b^2*c^2*d - 6*a*b*c*d^2 + 3*a^2*d^3 + 2*b^2*d*e)*sqrt(-e/d^2)*erf(d*sqrt(-e/d^2)/(d*x + c)) + (b^2*d^3*x^3 + 3*a*b*d^3*x^2 + b^2*c^3 - 3*a*b*c^2*d + 3*a^2*c*d^2 + 2*b^2*c*e + (3*a^2*d^3 + 2*b^2*d*e)*x)*e^(e/(d^2*x^2 + 2*c*d*x + c^2)))/d^3","A",0
411,1,122,0,0.850494," ","integrate(exp(e/(d*x+c)^2)*(b*x+a),x, algorithm=""fricas"")","-\frac{b e {\rm Ei}\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right) + 2 \, \sqrt{\pi} {\left(b c d - a d^{2}\right)} \sqrt{-\frac{e}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{e}{d^{2}}}}{d x + c}\right) - {\left(b d^{2} x^{2} + 2 \, a d^{2} x - b c^{2} + 2 \, a c d\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{2 \, d^{2}}"," ",0,"-1/2*(b*e*Ei(e/(d^2*x^2 + 2*c*d*x + c^2)) + 2*sqrt(pi)*(b*c*d - a*d^2)*sqrt(-e/d^2)*erf(d*sqrt(-e/d^2)/(d*x + c)) - (b*d^2*x^2 + 2*a*d^2*x - b*c^2 + 2*a*c*d)*e^(e/(d^2*x^2 + 2*c*d*x + c^2)))/d^2","A",0
412,1,63,0,0.955609," ","integrate(exp(e/(d*x+c)^2),x, algorithm=""fricas"")","\frac{\sqrt{\pi} d \sqrt{-\frac{e}{d^{2}}} \operatorname{erf}\left(\frac{d \sqrt{-\frac{e}{d^{2}}}}{d x + c}\right) + {\left(d x + c\right)} e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{d}"," ",0,"(sqrt(pi)*d*sqrt(-e/d^2)*erf(d*sqrt(-e/d^2)/(d*x + c)) + (d*x + c)*e^(e/(d^2*x^2 + 2*c*d*x + c^2)))/d","A",0
413,0,0,0,0.813751," ","integrate(exp(e/(d*x+c)^2)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{b x + a}, x\right)"," ",0,"integral(e^(e/(d^2*x^2 + 2*c*d*x + c^2))/(b*x + a), x)","F",0
414,0,0,0,0.533649," ","integrate(exp(e/(d*x+c)^2)/(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(e^(e/(d^2*x^2 + 2*c*d*x + c^2))/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
415,0,0,0,0.750858," ","integrate(exp(e/(d*x+c)^2)/(b*x+a)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\frac{e}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right)}}{b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}}, x\right)"," ",0,"integral(e^(e/(d^2*x^2 + 2*c*d*x + c^2))/(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3), x)","F",0
416,1,349,0,0.935522," ","integrate(exp(e/(d*x+c)^3)*(b*x+a)^3,x, algorithm=""fricas"")","\frac{4 \, {\left(b^{3} c - a b^{2} d\right)} e {\rm Ei}\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - 6 \, {\left(b^{3} c^{2} d^{2} - 2 \, a b^{2} c d^{3} + a^{2} b d^{4}\right)} \left(-\frac{e}{d^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) + {\left(4 \, b^{3} c^{3} d - 12 \, a b^{2} c^{2} d^{2} + 12 \, a^{2} b c d^{3} - 4 \, a^{3} d^{4} - 3 \, b^{3} d e\right)} \left(-\frac{e}{d^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) + {\left(b^{3} d^{4} x^{4} + 4 \, a b^{2} d^{4} x^{3} + 6 \, a^{2} b d^{4} x^{2} - b^{3} c^{4} + 4 \, a b^{2} c^{3} d - 6 \, a^{2} b c^{2} d^{2} + 4 \, a^{3} c d^{3} + 3 \, b^{3} c e + {\left(4 \, a^{3} d^{4} + 3 \, b^{3} d e\right)} x\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{4 \, d^{4}}"," ",0,"1/4*(4*(b^3*c - a*b^2*d)*e*Ei(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - 6*(b^3*c^2*d^2 - 2*a*b^2*c*d^3 + a^2*b*d^4)*(-e/d^3)^(2/3)*gamma(1/3, -e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + (4*b^3*c^3*d - 12*a*b^2*c^2*d^2 + 12*a^2*b*c*d^3 - 4*a^3*d^4 - 3*b^3*d*e)*(-e/d^3)^(1/3)*gamma(2/3, -e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + (b^3*d^4*x^4 + 4*a*b^2*d^4*x^3 + 6*a^2*b*d^4*x^2 - b^3*c^4 + 4*a*b^2*c^3*d - 6*a^2*b*c^2*d^2 + 4*a^3*c*d^3 + 3*b^3*c*e + (4*a^3*d^4 + 3*b^3*d*e)*x)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d^4","A",0
417,1,259,0,0.911372," ","integrate(exp(e/(d*x+c)^3)*(b*x+a)^2,x, algorithm=""fricas"")","-\frac{b^{2} e {\rm Ei}\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - 3 \, {\left(b^{2} c d^{2} - a b d^{3}\right)} \left(-\frac{e}{d^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) + 3 \, {\left(b^{2} c^{2} d - 2 \, a b c d^{2} + a^{2} d^{3}\right)} \left(-\frac{e}{d^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - {\left(b^{2} d^{3} x^{3} + 3 \, a b d^{3} x^{2} + 3 \, a^{2} d^{3} x + b^{2} c^{3} - 3 \, a b c^{2} d + 3 \, a^{2} c d^{2}\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{3 \, d^{3}}"," ",0,"-1/3*(b^2*e*Ei(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - 3*(b^2*c*d^2 - a*b*d^3)*(-e/d^3)^(2/3)*gamma(1/3, -e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) + 3*(b^2*c^2*d - 2*a*b*c*d^2 + a^2*d^3)*(-e/d^3)^(1/3)*gamma(2/3, -e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - (b^2*d^3*x^3 + 3*a*b*d^3*x^2 + 3*a^2*d^3*x + b^2*c^3 - 3*a*b*c^2*d + 3*a^2*c*d^2)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d^3","A",0
418,1,169,0,0.904147," ","integrate(exp(e/(d*x+c)^3)*(b*x+a),x, algorithm=""fricas"")","-\frac{b d^{2} \left(-\frac{e}{d^{3}}\right)^{\frac{2}{3}} \Gamma\left(\frac{1}{3}, -\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - 2 \, {\left(b c d - a d^{2}\right)} \left(-\frac{e}{d^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - {\left(b d^{2} x^{2} + 2 \, a d^{2} x - b c^{2} + 2 \, a c d\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{2 \, d^{2}}"," ",0,"-1/2*(b*d^2*(-e/d^3)^(2/3)*gamma(1/3, -e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - 2*(b*c*d - a*d^2)*(-e/d^3)^(1/3)*gamma(2/3, -e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - (b*d^2*x^2 + 2*a*d^2*x - b*c^2 + 2*a*c*d)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d^2","B",0
419,1,89,0,1.030082," ","integrate(exp(e/(d*x+c)^3),x, algorithm=""fricas"")","-\frac{d \left(-\frac{e}{d^{3}}\right)^{\frac{1}{3}} \Gamma\left(\frac{2}{3}, -\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right) - {\left(d x + c\right)} e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{d}"," ",0,"-(d*(-e/d^3)^(1/3)*gamma(2/3, -e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)) - (d*x + c)*e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3)))/d","B",0
420,0,0,0,0.701096," ","integrate(exp(e/(d*x+c)^3)/(b*x+a),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{b x + a}, x\right)"," ",0,"integral(e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b*x + a), x)","F",0
421,0,0,0,1.059134," ","integrate(exp(e/(d*x+c)^3)/(b*x+a)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(\frac{e}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right)}}{b^{2} x^{2} + 2 \, a b x + a^{2}}, x\right)"," ",0,"integral(e^(e/(d^3*x^3 + 3*c*d^2*x^2 + 3*c^2*d*x + c^3))/(b^2*x^2 + 2*a*b*x + a^2), x)","F",0
422,1,135,0,0.990645," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g),x, algorithm=""fricas"")","-\frac{F^{\frac{d e + b f}{d}} {\rm Ei}\left(-\frac{{\left(b c - a d\right)} f \log\left(F\right)}{d^{2} x + c d}\right) - F^{\frac{{\left(d e + b f\right)} g - {\left(c e + a f\right)} h}{d g - c h}} {\rm Ei}\left(-\frac{{\left({\left(b c - a d\right)} f h x + {\left(b c - a d\right)} f g\right)} \log\left(F\right)}{c d g - c^{2} h + {\left(d^{2} g - c d h\right)} x}\right)}{h}"," ",0,"-(F^((d*e + b*f)/d)*Ei(-(b*c - a*d)*f*log(F)/(d^2*x + c*d)) - F^(((d*e + b*f)*g - (c*e + a*f)*h)/(d*g - c*h))*Ei(-((b*c - a*d)*f*h*x + (b*c - a*d)*f*g)*log(F)/(c*d*g - c^2*h + (d^2*g - c*d*h)*x)))/h","A",0
423,1,220,0,1.049863," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^2,x, algorithm=""fricas"")","\frac{{\left({\left(b c - a d\right)} f h x + {\left(b c - a d\right)} f g\right)} F^{\frac{{\left(d e + b f\right)} g - {\left(c e + a f\right)} h}{d g - c h}} {\rm Ei}\left(-\frac{{\left({\left(b c - a d\right)} f h x + {\left(b c - a d\right)} f g\right)} \log\left(F\right)}{c d g - c^{2} h + {\left(d^{2} g - c d h\right)} x}\right) \log\left(F\right) + {\left(c d g - c^{2} h + {\left(d^{2} g - c d h\right)} x\right)} F^{\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}}}{d^{2} g^{3} - 2 \, c d g^{2} h + c^{2} g h^{2} + {\left(d^{2} g^{2} h - 2 \, c d g h^{2} + c^{2} h^{3}\right)} x}"," ",0,"(((b*c - a*d)*f*h*x + (b*c - a*d)*f*g)*F^(((d*e + b*f)*g - (c*e + a*f)*h)/(d*g - c*h))*Ei(-((b*c - a*d)*f*h*x + (b*c - a*d)*f*g)*log(F)/(c*d*g - c^2*h + (d^2*g - c*d*h)*x))*log(F) + (c*d*g - c^2*h + (d^2*g - c*d*h)*x)*F^((c*e + a*f + (d*e + b*f)*x)/(d*x + c)))/(d^2*g^3 - 2*c*d*g^2*h + c^2*g*h^2 + (d^2*g^2*h - 2*c*d*g*h^2 + c^2*h^3)*x)","A",0
424,1,755,0,0.875409," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^3,x, algorithm=""fricas"")","\frac{{\left({\left({\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f^{2} h^{3} x^{2} + 2 \, {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f^{2} g h^{2} x + {\left(b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}\right)} f^{2} g^{2} h\right)} \log\left(F\right)^{2} + 2 \, {\left({\left(b c d^{2} - a d^{3}\right)} f g^{3} - {\left(b c^{2} d - a c d^{2}\right)} f g^{2} h + {\left({\left(b c d^{2} - a d^{3}\right)} f g h^{2} - {\left(b c^{2} d - a c d^{2}\right)} f h^{3}\right)} x^{2} + 2 \, {\left({\left(b c d^{2} - a d^{3}\right)} f g^{2} h - {\left(b c^{2} d - a c d^{2}\right)} f g h^{2}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{{\left(d e + b f\right)} g - {\left(c e + a f\right)} h}{d g - c h}} {\rm Ei}\left(-\frac{{\left({\left(b c - a d\right)} f h x + {\left(b c - a d\right)} f g\right)} \log\left(F\right)}{c d g - c^{2} h + {\left(d^{2} g - c d h\right)} x}\right) + {\left(2 \, c d^{3} g^{3} - 5 \, c^{2} d^{2} g^{2} h + 4 \, c^{3} d g h^{2} - c^{4} h^{3} + {\left(d^{4} g^{2} h - 2 \, c d^{3} g h^{2} + c^{2} d^{2} h^{3}\right)} x^{2} + 2 \, {\left(d^{4} g^{3} - 2 \, c d^{3} g^{2} h + c^{2} d^{2} g h^{2}\right)} x + {\left({\left(b c^{2} d - a c d^{2}\right)} f g^{2} h - {\left(b c^{3} - a c^{2} d\right)} f g h^{2} + {\left({\left(b c d^{2} - a d^{3}\right)} f g h^{2} - {\left(b c^{2} d - a c d^{2}\right)} f h^{3}\right)} x^{2} + {\left({\left(b c d^{2} - a d^{3}\right)} f g^{2} h - {\left(b c^{3} - a c^{2} d\right)} f h^{3}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}}}{2 \, {\left(d^{4} g^{6} - 4 \, c d^{3} g^{5} h + 6 \, c^{2} d^{2} g^{4} h^{2} - 4 \, c^{3} d g^{3} h^{3} + c^{4} g^{2} h^{4} + {\left(d^{4} g^{4} h^{2} - 4 \, c d^{3} g^{3} h^{3} + 6 \, c^{2} d^{2} g^{2} h^{4} - 4 \, c^{3} d g h^{5} + c^{4} h^{6}\right)} x^{2} + 2 \, {\left(d^{4} g^{5} h - 4 \, c d^{3} g^{4} h^{2} + 6 \, c^{2} d^{2} g^{3} h^{3} - 4 \, c^{3} d g^{2} h^{4} + c^{4} g h^{5}\right)} x\right)}}"," ",0,"1/2*((((b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f^2*h^3*x^2 + 2*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f^2*g*h^2*x + (b^2*c^2 - 2*a*b*c*d + a^2*d^2)*f^2*g^2*h)*log(F)^2 + 2*((b*c*d^2 - a*d^3)*f*g^3 - (b*c^2*d - a*c*d^2)*f*g^2*h + ((b*c*d^2 - a*d^3)*f*g*h^2 - (b*c^2*d - a*c*d^2)*f*h^3)*x^2 + 2*((b*c*d^2 - a*d^3)*f*g^2*h - (b*c^2*d - a*c*d^2)*f*g*h^2)*x)*log(F))*F^(((d*e + b*f)*g - (c*e + a*f)*h)/(d*g - c*h))*Ei(-((b*c - a*d)*f*h*x + (b*c - a*d)*f*g)*log(F)/(c*d*g - c^2*h + (d^2*g - c*d*h)*x)) + (2*c*d^3*g^3 - 5*c^2*d^2*g^2*h + 4*c^3*d*g*h^2 - c^4*h^3 + (d^4*g^2*h - 2*c*d^3*g*h^2 + c^2*d^2*h^3)*x^2 + 2*(d^4*g^3 - 2*c*d^3*g^2*h + c^2*d^2*g*h^2)*x + ((b*c^2*d - a*c*d^2)*f*g^2*h - (b*c^3 - a*c^2*d)*f*g*h^2 + ((b*c*d^2 - a*d^3)*f*g*h^2 - (b*c^2*d - a*c*d^2)*f*h^3)*x^2 + ((b*c*d^2 - a*d^3)*f*g^2*h - (b*c^3 - a*c^2*d)*f*h^3)*x)*log(F))*F^((c*e + a*f + (d*e + b*f)*x)/(d*x + c)))/(d^4*g^6 - 4*c*d^3*g^5*h + 6*c^2*d^2*g^4*h^2 - 4*c^3*d*g^3*h^3 + c^4*g^2*h^4 + (d^4*g^4*h^2 - 4*c*d^3*g^3*h^3 + 6*c^2*d^2*g^2*h^4 - 4*c^3*d*g*h^5 + c^4*h^6)*x^2 + 2*(d^4*g^5*h - 4*c*d^3*g^4*h^2 + 6*c^2*d^2*g^3*h^3 - 4*c^3*d*g^2*h^4 + c^4*g*h^5)*x)","B",0
425,1,2250,0,0.955898," ","integrate(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^4,x, algorithm=""fricas"")","\frac{{\left({\left({\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} f^{3} h^{5} x^{3} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} f^{3} g h^{4} x^{2} + 3 \, {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} f^{3} g^{2} h^{3} x + {\left(b^{3} c^{3} - 3 \, a b^{2} c^{2} d + 3 \, a^{2} b c d^{2} - a^{3} d^{3}\right)} f^{3} g^{3} h^{2}\right)} \log\left(F\right)^{3} + 6 \, {\left({\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} f^{2} g^{4} h - {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} g^{3} h^{2} + {\left({\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} f^{2} g h^{4} - {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} h^{5}\right)} x^{3} + 3 \, {\left({\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} f^{2} g^{2} h^{3} - {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} g h^{4}\right)} x^{2} + 3 \, {\left({\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} f^{2} g^{3} h^{2} - {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} g^{2} h^{3}\right)} x\right)} \log\left(F\right)^{2} + 6 \, {\left({\left(b c d^{4} - a d^{5}\right)} f g^{5} - 2 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g^{4} h + {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f g^{3} h^{2} + {\left({\left(b c d^{4} - a d^{5}\right)} f g^{2} h^{3} - 2 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g h^{4} + {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f h^{5}\right)} x^{3} + 3 \, {\left({\left(b c d^{4} - a d^{5}\right)} f g^{3} h^{2} - 2 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g^{2} h^{3} + {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f g h^{4}\right)} x^{2} + 3 \, {\left({\left(b c d^{4} - a d^{5}\right)} f g^{4} h - 2 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g^{3} h^{2} + {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f g^{2} h^{3}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{{\left(d e + b f\right)} g - {\left(c e + a f\right)} h}{d g - c h}} {\rm Ei}\left(-\frac{{\left({\left(b c - a d\right)} f h x + {\left(b c - a d\right)} f g\right)} \log\left(F\right)}{c d g - c^{2} h + {\left(d^{2} g - c d h\right)} x}\right) + {\left(6 \, c d^{5} g^{5} - 24 \, c^{2} d^{4} g^{4} h + 38 \, c^{3} d^{3} g^{3} h^{2} - 30 \, c^{4} d^{2} g^{2} h^{3} + 12 \, c^{5} d g h^{4} - 2 \, c^{6} h^{5} + 2 \, {\left(d^{6} g^{3} h^{2} - 3 \, c d^{5} g^{2} h^{3} + 3 \, c^{2} d^{4} g h^{4} - c^{3} d^{3} h^{5}\right)} x^{3} + 6 \, {\left(d^{6} g^{4} h - 3 \, c d^{5} g^{3} h^{2} + 3 \, c^{2} d^{4} g^{2} h^{3} - c^{3} d^{3} g h^{4}\right)} x^{2} + {\left({\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} g^{3} h^{2} - {\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}\right)} f^{2} g^{2} h^{3} + {\left({\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} f^{2} g h^{4} - {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} h^{5}\right)} x^{3} + {\left(2 \, {\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} f^{2} g^{2} h^{3} - {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} g h^{4} - {\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}\right)} f^{2} h^{5}\right)} x^{2} + {\left({\left(b^{2} c^{2} d^{2} - 2 \, a b c d^{3} + a^{2} d^{4}\right)} f^{2} g^{3} h^{2} + {\left(b^{2} c^{3} d - 2 \, a b c^{2} d^{2} + a^{2} c d^{3}\right)} f^{2} g^{2} h^{3} - 2 \, {\left(b^{2} c^{4} - 2 \, a b c^{3} d + a^{2} c^{2} d^{2}\right)} f^{2} g h^{4}\right)} x\right)} \log\left(F\right)^{2} + 6 \, {\left(d^{6} g^{5} - 3 \, c d^{5} g^{4} h + 3 \, c^{2} d^{4} g^{3} h^{2} - c^{3} d^{3} g^{2} h^{3}\right)} x + {\left(6 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g^{4} h - 13 \, {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f g^{3} h^{2} + 8 \, {\left(b c^{4} d - a c^{3} d^{2}\right)} f g^{2} h^{3} - {\left(b c^{5} - a c^{4} d\right)} f g h^{4} + 5 \, {\left({\left(b c d^{4} - a d^{5}\right)} f g^{2} h^{3} - 2 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g h^{4} + {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f h^{5}\right)} x^{3} + {\left(11 \, {\left(b c d^{4} - a d^{5}\right)} f g^{3} h^{2} - 18 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g^{2} h^{3} + 3 \, {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f g h^{4} + 4 \, {\left(b c^{4} d - a c^{3} d^{2}\right)} f h^{5}\right)} x^{2} + {\left(6 \, {\left(b c d^{4} - a d^{5}\right)} f g^{4} h - 2 \, {\left(b c^{2} d^{3} - a c d^{4}\right)} f g^{3} h^{2} - 15 \, {\left(b c^{3} d^{2} - a c^{2} d^{3}\right)} f g^{2} h^{3} + 12 \, {\left(b c^{4} d - a c^{3} d^{2}\right)} f g h^{4} - {\left(b c^{5} - a c^{4} d\right)} f h^{5}\right)} x\right)} \log\left(F\right)\right)} F^{\frac{c e + a f + {\left(d e + b f\right)} x}{d x + c}}}{6 \, {\left(d^{6} g^{9} - 6 \, c d^{5} g^{8} h + 15 \, c^{2} d^{4} g^{7} h^{2} - 20 \, c^{3} d^{3} g^{6} h^{3} + 15 \, c^{4} d^{2} g^{5} h^{4} - 6 \, c^{5} d g^{4} h^{5} + c^{6} g^{3} h^{6} + {\left(d^{6} g^{6} h^{3} - 6 \, c d^{5} g^{5} h^{4} + 15 \, c^{2} d^{4} g^{4} h^{5} - 20 \, c^{3} d^{3} g^{3} h^{6} + 15 \, c^{4} d^{2} g^{2} h^{7} - 6 \, c^{5} d g h^{8} + c^{6} h^{9}\right)} x^{3} + 3 \, {\left(d^{6} g^{7} h^{2} - 6 \, c d^{5} g^{6} h^{3} + 15 \, c^{2} d^{4} g^{5} h^{4} - 20 \, c^{3} d^{3} g^{4} h^{5} + 15 \, c^{4} d^{2} g^{3} h^{6} - 6 \, c^{5} d g^{2} h^{7} + c^{6} g h^{8}\right)} x^{2} + 3 \, {\left(d^{6} g^{8} h - 6 \, c d^{5} g^{7} h^{2} + 15 \, c^{2} d^{4} g^{6} h^{3} - 20 \, c^{3} d^{3} g^{5} h^{4} + 15 \, c^{4} d^{2} g^{4} h^{5} - 6 \, c^{5} d g^{3} h^{6} + c^{6} g^{2} h^{7}\right)} x\right)}}"," ",0,"1/6*((((b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*f^3*h^5*x^3 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*f^3*g*h^4*x^2 + 3*(b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*f^3*g^2*h^3*x + (b^3*c^3 - 3*a*b^2*c^2*d + 3*a^2*b*c*d^2 - a^3*d^3)*f^3*g^3*h^2)*log(F)^3 + 6*((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*f^2*g^4*h - (b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*g^3*h^2 + ((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*f^2*g*h^4 - (b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*h^5)*x^3 + 3*((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*f^2*g^2*h^3 - (b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*g*h^4)*x^2 + 3*((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*f^2*g^3*h^2 - (b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*g^2*h^3)*x)*log(F)^2 + 6*((b*c*d^4 - a*d^5)*f*g^5 - 2*(b*c^2*d^3 - a*c*d^4)*f*g^4*h + (b*c^3*d^2 - a*c^2*d^3)*f*g^3*h^2 + ((b*c*d^4 - a*d^5)*f*g^2*h^3 - 2*(b*c^2*d^3 - a*c*d^4)*f*g*h^4 + (b*c^3*d^2 - a*c^2*d^3)*f*h^5)*x^3 + 3*((b*c*d^4 - a*d^5)*f*g^3*h^2 - 2*(b*c^2*d^3 - a*c*d^4)*f*g^2*h^3 + (b*c^3*d^2 - a*c^2*d^3)*f*g*h^4)*x^2 + 3*((b*c*d^4 - a*d^5)*f*g^4*h - 2*(b*c^2*d^3 - a*c*d^4)*f*g^3*h^2 + (b*c^3*d^2 - a*c^2*d^3)*f*g^2*h^3)*x)*log(F))*F^(((d*e + b*f)*g - (c*e + a*f)*h)/(d*g - c*h))*Ei(-((b*c - a*d)*f*h*x + (b*c - a*d)*f*g)*log(F)/(c*d*g - c^2*h + (d^2*g - c*d*h)*x)) + (6*c*d^5*g^5 - 24*c^2*d^4*g^4*h + 38*c^3*d^3*g^3*h^2 - 30*c^4*d^2*g^2*h^3 + 12*c^5*d*g*h^4 - 2*c^6*h^5 + 2*(d^6*g^3*h^2 - 3*c*d^5*g^2*h^3 + 3*c^2*d^4*g*h^4 - c^3*d^3*h^5)*x^3 + 6*(d^6*g^4*h - 3*c*d^5*g^3*h^2 + 3*c^2*d^4*g^2*h^3 - c^3*d^3*g*h^4)*x^2 + ((b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*g^3*h^2 - (b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2)*f^2*g^2*h^3 + ((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*f^2*g*h^4 - (b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*h^5)*x^3 + (2*(b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*f^2*g^2*h^3 - (b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*g*h^4 - (b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2)*f^2*h^5)*x^2 + ((b^2*c^2*d^2 - 2*a*b*c*d^3 + a^2*d^4)*f^2*g^3*h^2 + (b^2*c^3*d - 2*a*b*c^2*d^2 + a^2*c*d^3)*f^2*g^2*h^3 - 2*(b^2*c^4 - 2*a*b*c^3*d + a^2*c^2*d^2)*f^2*g*h^4)*x)*log(F)^2 + 6*(d^6*g^5 - 3*c*d^5*g^4*h + 3*c^2*d^4*g^3*h^2 - c^3*d^3*g^2*h^3)*x + (6*(b*c^2*d^3 - a*c*d^4)*f*g^4*h - 13*(b*c^3*d^2 - a*c^2*d^3)*f*g^3*h^2 + 8*(b*c^4*d - a*c^3*d^2)*f*g^2*h^3 - (b*c^5 - a*c^4*d)*f*g*h^4 + 5*((b*c*d^4 - a*d^5)*f*g^2*h^3 - 2*(b*c^2*d^3 - a*c*d^4)*f*g*h^4 + (b*c^3*d^2 - a*c^2*d^3)*f*h^5)*x^3 + (11*(b*c*d^4 - a*d^5)*f*g^3*h^2 - 18*(b*c^2*d^3 - a*c*d^4)*f*g^2*h^3 + 3*(b*c^3*d^2 - a*c^2*d^3)*f*g*h^4 + 4*(b*c^4*d - a*c^3*d^2)*f*h^5)*x^2 + (6*(b*c*d^4 - a*d^5)*f*g^4*h - 2*(b*c^2*d^3 - a*c*d^4)*f*g^3*h^2 - 15*(b*c^3*d^2 - a*c^2*d^3)*f*g^2*h^3 + 12*(b*c^4*d - a*c^3*d^2)*f*g*h^4 - (b*c^5 - a*c^4*d)*f*h^5)*x)*log(F))*F^((c*e + a*f + (d*e + b*f)*x)/(d*x + c)))/(d^6*g^9 - 6*c*d^5*g^8*h + 15*c^2*d^4*g^7*h^2 - 20*c^3*d^3*g^6*h^3 + 15*c^4*d^2*g^5*h^4 - 6*c^5*d*g^4*h^5 + c^6*g^3*h^6 + (d^6*g^6*h^3 - 6*c*d^5*g^5*h^4 + 15*c^2*d^4*g^4*h^5 - 20*c^3*d^3*g^3*h^6 + 15*c^4*d^2*g^2*h^7 - 6*c^5*d*g*h^8 + c^6*h^9)*x^3 + 3*(d^6*g^7*h^2 - 6*c*d^5*g^6*h^3 + 15*c^2*d^4*g^5*h^4 - 20*c^3*d^3*g^4*h^5 + 15*c^4*d^2*g^3*h^6 - 6*c^5*d*g^2*h^7 + c^6*g*h^8)*x^2 + 3*(d^6*g^8*h - 6*c*d^5*g^7*h^2 + 15*c^2*d^4*g^6*h^3 - 20*c^3*d^3*g^5*h^4 + 15*c^4*d^2*g^4*h^5 - 6*c^5*d*g^3*h^6 + c^6*g^2*h^7)*x)","B",0
426,1,114,0,0.606118," ","integrate(f^(c*x^2+b*x+a)*x^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, c^{2} - {\left(4 \, c^{3} x^{2} - 2 \, b c^{2} x + b^{2} c\right)} \log\left(f\right)\right)} f^{c x^{2} + b x + a} - \frac{\sqrt{\pi} {\left(b^{3} \log\left(f\right) - 6 \, b c\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{16 \, c^{4} \log\left(f\right)^{2}}"," ",0,"-1/16*(2*(4*c^2 - (4*c^3*x^2 - 2*b*c^2*x + b^2*c)*log(f))*f^(c*x^2 + b*x + a) - sqrt(pi)*(b^3*log(f) - 6*b*c)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/(c^4*log(f)^2)","A",0
427,1,95,0,0.648018," ","integrate(f^(c*x^2+b*x+a)*x^2,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, c^{2} x - b c\right)} f^{c x^{2} + b x + a} \log\left(f\right) - \frac{\sqrt{\pi} {\left(b^{2} \log\left(f\right) - 2 \, c\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{8 \, c^{3} \log\left(f\right)^{2}}"," ",0,"1/8*(2*(2*c^2*x - b*c)*f^(c*x^2 + b*x + a)*log(f) - sqrt(pi)*(b^2*log(f) - 2*c)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/(c^3*log(f)^2)","A",0
428,1,73,0,0.704992," ","integrate(f^(c*x^2+b*x+a)*x,x, algorithm=""fricas"")","\frac{2 \, c f^{c x^{2} + b x + a} + \frac{\sqrt{\pi} \sqrt{-c \log\left(f\right)} b \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{4 \, c^{2} \log\left(f\right)}"," ",0,"1/4*(2*c*f^(c*x^2 + b*x + a) + sqrt(pi)*sqrt(-c*log(f))*b*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/(c^2*log(f))","A",0
429,1,55,0,0.955375," ","integrate(f^(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{2 \, c f^{\frac{b^{2} - 4 \, a c}{4 \, c}} \log\left(f\right)}"," ",0,"-1/2*sqrt(pi)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/(c*f^(1/4*(b^2 - 4*a*c)/c)*log(f))","A",0
430,0,0,0,0.889799," ","integrate(f^(c*x^2+b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{c x^{2} + b x + a}}{x}, x\right)"," ",0,"integral(f^(c*x^2 + b*x + a)/x, x)","F",0
431,0,0,0,0.915992," ","integrate(f^(c*x^2+b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{c x^{2} + b x + a}}{x^{2}}, x\right)"," ",0,"integral(f^(c*x^2 + b*x + a)/x^2, x)","F",0
432,1,89,0,0.924686," ","integrate(exp(-c*x^2+b*x+a)*x^3,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(b^{3} + 6 \, b c\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)} - 2 \, {\left(4 \, c^{3} x^{2} + 2 \, b c^{2} x + b^{2} c + 4 \, c^{2}\right)} e^{\left(-c x^{2} + b x + a\right)}}{16 \, c^{4}}"," ",0,"1/16*(sqrt(pi)*(b^3 + 6*b*c)*sqrt(c)*erf(1/2*(2*c*x - b)/sqrt(c))*e^(1/4*(b^2 + 4*a*c)/c) - 2*(4*c^3*x^2 + 2*b*c^2*x + b^2*c + 4*c^2)*e^(-c*x^2 + b*x + a))/c^4","A",0
433,1,72,0,1.043316," ","integrate(exp(-c*x^2+b*x+a)*x^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(b^{2} + 2 \, c\right)} \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)} - 2 \, {\left(2 \, c^{2} x + b c\right)} e^{\left(-c x^{2} + b x + a\right)}}{8 \, c^{3}}"," ",0,"1/8*(sqrt(pi)*(b^2 + 2*c)*sqrt(c)*erf(1/2*(2*c*x - b)/sqrt(c))*e^(1/4*(b^2 + 4*a*c)/c) - 2*(2*c^2*x + b*c)*e^(-c*x^2 + b*x + a))/c^3","A",0
434,1,57,0,1.070368," ","integrate(exp(-c*x^2+b*x+a)*x,x, algorithm=""fricas"")","\frac{\sqrt{\pi} b \sqrt{c} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)} - 2 \, c e^{\left(-c x^{2} + b x + a\right)}}{4 \, c^{2}}"," ",0,"1/4*(sqrt(pi)*b*sqrt(c)*erf(1/2*(2*c*x - b)/sqrt(c))*e^(1/4*(b^2 + 4*a*c)/c) - 2*c*e^(-c*x^2 + b*x + a))/c^2","A",0
435,1,36,0,1.060809," ","integrate(exp(-c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{\sqrt{\pi} \operatorname{erf}\left(\frac{2 \, c x - b}{2 \, \sqrt{c}}\right) e^{\left(\frac{b^{2} + 4 \, a c}{4 \, c}\right)}}{2 \, \sqrt{c}}"," ",0,"1/2*sqrt(pi)*erf(1/2*(2*c*x - b)/sqrt(c))*e^(1/4*(b^2 + 4*a*c)/c)/sqrt(c)","A",0
436,0,0,0,1.080540," ","integrate(exp(-c*x^2+b*x+a)/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(-c x^{2} + b x + a\right)}}{x}, x\right)"," ",0,"integral(e^(-c*x^2 + b*x + a)/x, x)","F",0
437,0,0,0,1.081285," ","integrate(exp(-c*x^2+b*x+a)/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(-c x^{2} + b x + a\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(-c*x^2 + b*x + a)/x^2, x)","F",0
438,1,212,0,0.996330," ","integrate(exp((b*x+a)*(d*x+c))*x^3,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(b^{3} c^{3} + a^{3} d^{3} + 3 \, {\left(a^{2} b c - 2 \, a b\right)} d^{2} + 3 \, {\left(a b^{2} c^{2} - 2 \, b^{2} c\right)} d\right)} \sqrt{-b d} \operatorname{erf}\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d}}{2 \, b d}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)} + 2 \, {\left(4 \, b^{3} d^{3} x^{2} + b^{3} c^{2} d + a^{2} b d^{3} + 2 \, {\left(a b^{2} c - 2 \, b^{2}\right)} d^{2} - 2 \, {\left(b^{3} c d^{2} + a b^{2} d^{3}\right)} x\right)} e^{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)}}{16 \, b^{4} d^{4}}"," ",0,"1/16*(sqrt(pi)*(b^3*c^3 + a^3*d^3 + 3*(a^2*b*c - 2*a*b)*d^2 + 3*(a*b^2*c^2 - 2*b^2*c)*d)*sqrt(-b*d)*erf(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)/(b*d))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d)) + 2*(4*b^3*d^3*x^2 + b^3*c^2*d + a^2*b*d^3 + 2*(a*b^2*c - 2*b^2)*d^2 - 2*(b^3*c*d^2 + a*b^2*d^3)*x)*e^(b*d*x^2 + a*c + (b*c + a*d)*x))/(b^4*d^4)","A",0
439,1,148,0,1.076533," ","integrate(exp((b*x+a)*(d*x+c))*x^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} {\left(b^{2} c^{2} + a^{2} d^{2} + 2 \, {\left(a b c - b\right)} d\right)} \sqrt{-b d} \operatorname{erf}\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d}}{2 \, b d}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)} - 2 \, {\left(2 \, b^{2} d^{2} x - b^{2} c d - a b d^{2}\right)} e^{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)}}{8 \, b^{3} d^{3}}"," ",0,"-1/8*(sqrt(pi)*(b^2*c^2 + a^2*d^2 + 2*(a*b*c - b)*d)*sqrt(-b*d)*erf(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)/(b*d))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d)) - 2*(2*b^2*d^2*x - b^2*c*d - a*b*d^2)*e^(b*d*x^2 + a*c + (b*c + a*d)*x))/(b^3*d^3)","A",0
440,1,107,0,1.077197," ","integrate(exp((b*x+a)*(d*x+c))*x,x, algorithm=""fricas"")","\frac{\sqrt{\pi} {\left(b c + a d\right)} \sqrt{-b d} \operatorname{erf}\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d}}{2 \, b d}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)} + 2 \, b d e^{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)}}{4 \, b^{2} d^{2}}"," ",0,"1/4*(sqrt(pi)*(b*c + a*d)*sqrt(-b*d)*erf(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)/(b*d))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d)) + 2*b*d*e^(b*d*x^2 + a*c + (b*c + a*d)*x))/(b^2*d^2)","A",0
441,1,74,0,0.970074," ","integrate(exp((b*x+a)*(d*x+c)),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b d} \operatorname{erf}\left(\frac{{\left(2 \, b d x + b c + a d\right)} \sqrt{-b d}}{2 \, b d}\right) e^{\left(-\frac{b^{2} c^{2} - 2 \, a b c d + a^{2} d^{2}}{4 \, b d}\right)}}{2 \, b d}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*d)*erf(1/2*(2*b*d*x + b*c + a*d)*sqrt(-b*d)/(b*d))*e^(-1/4*(b^2*c^2 - 2*a*b*c*d + a^2*d^2)/(b*d))/(b*d)","A",0
442,0,0,0,0.845417," ","integrate(exp((b*x+a)*(d*x+c))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)}}{x}, x\right)"," ",0,"integral(e^(b*d*x^2 + a*c + (b*c + a*d)*x)/x, x)","F",0
443,0,0,0,1.162282," ","integrate(exp((b*x+a)*(d*x+c))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{\left(b d x^{2} + a c + {\left(b c + a d\right)} x\right)}}{x^{2}}, x\right)"," ",0,"integral(e^(b*d*x^2 + a*c + (b*c + a*d)*x)/x^2, x)","F",0
444,1,204,0,1.147935," ","integrate(f^(c*x^2+b*x+a)*(e*x+d)^3,x, algorithm=""fricas"")","-\frac{2 \, {\left(4 \, c^{2} e^{3} - {\left(4 \, c^{3} e^{3} x^{2} + 12 \, c^{3} d^{2} e - 6 \, b c^{2} d e^{2} + b^{2} c e^{3} + 2 \, {\left(6 \, c^{3} d e^{2} - b c^{2} e^{3}\right)} x\right)} \log\left(f\right)\right)} f^{c x^{2} + b x + a} - \frac{\sqrt{\pi} {\left(12 \, c^{2} d e^{2} - 6 \, b c e^{3} - {\left(8 \, c^{3} d^{3} - 12 \, b c^{2} d^{2} e + 6 \, b^{2} c d e^{2} - b^{3} e^{3}\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{16 \, c^{4} \log\left(f\right)^{2}}"," ",0,"-1/16*(2*(4*c^2*e^3 - (4*c^3*e^3*x^2 + 12*c^3*d^2*e - 6*b*c^2*d*e^2 + b^2*c*e^3 + 2*(6*c^3*d*e^2 - b*c^2*e^3)*x)*log(f))*f^(c*x^2 + b*x + a) - sqrt(pi)*(12*c^2*d*e^2 - 6*b*c*e^3 - (8*c^3*d^3 - 12*b*c^2*d^2*e + 6*b^2*c*d*e^2 - b^3*e^3)*log(f))*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/(c^4*log(f)^2)","A",0
445,1,130,0,0.964640," ","integrate(f^(c*x^2+b*x+a)*(e*x+d)^2,x, algorithm=""fricas"")","\frac{2 \, {\left(2 \, c^{2} e^{2} x + 4 \, c^{2} d e - b c e^{2}\right)} f^{c x^{2} + b x + a} \log\left(f\right) + \frac{\sqrt{\pi} {\left(2 \, c e^{2} - {\left(4 \, c^{2} d^{2} - 4 \, b c d e + b^{2} e^{2}\right)} \log\left(f\right)\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{8 \, c^{3} \log\left(f\right)^{2}}"," ",0,"1/8*(2*(2*c^2*e^2*x + 4*c^2*d*e - b*c*e^2)*f^(c*x^2 + b*x + a)*log(f) + sqrt(pi)*(2*c*e^2 - (4*c^2*d^2 - 4*b*c*d*e + b^2*e^2)*log(f))*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/(c^3*log(f)^2)","A",0
446,1,83,0,0.802874," ","integrate(f^(c*x^2+b*x+a)*(e*x+d),x, algorithm=""fricas"")","\frac{2 \, c e f^{c x^{2} + b x + a} - \frac{\sqrt{\pi} {\left(2 \, c d - b e\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{4 \, c^{2} \log\left(f\right)}"," ",0,"1/4*(2*c*e*f^(c*x^2 + b*x + a) - sqrt(pi)*(2*c*d - b*e)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/(c^2*log(f))","A",0
447,0,0,0,1.186983," ","integrate(f^(c*x^2+b*x+a)/(e*x+d),x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{c x^{2} + b x + a}}{e x + d}, x\right)"," ",0,"integral(f^(c*x^2 + b*x + a)/(e*x + d), x)","F",0
448,0,0,0,1.103782," ","integrate(f^(c*x^2+b*x+a)/(e*x+d)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{c x^{2} + b x + a}}{e^{2} x^{2} + 2 \, d e x + d^{2}}, x\right)"," ",0,"integral(f^(c*x^2 + b*x + a)/(e^2*x^2 + 2*d*e*x + d^2), x)","F",0
449,0,0,0,1.165394," ","integrate(f^(c*x^2+b*x+a)/(e*x+d)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{f^{c x^{2} + b x + a}}{e^{3} x^{3} + 3 \, d e^{2} x^{2} + 3 \, d^{2} e x + d^{3}}, x\right)"," ",0,"integral(f^(c*x^2 + b*x + a)/(e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x + d^3), x)","F",0
450,1,41,0,0.920315," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b)^3,x, algorithm=""fricas"")","\frac{{\left({\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} \log\left(f\right) - 4 \, c\right)} f^{c x^{2} + b x + a}}{\log\left(f\right)^{2}}"," ",0,"((4*c^2*x^2 + 4*b*c*x + b^2)*log(f) - 4*c)*f^(c*x^2 + b*x + a)/log(f)^2","A",0
451,1,74,0,0.825300," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b)^2,x, algorithm=""fricas"")","\frac{{\left(2 \, c x + b\right)} f^{c x^{2} + b x + a} \log\left(f\right) + \frac{\sqrt{\pi} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{\log\left(f\right)^{2}}"," ",0,"((2*c*x + b)*f^(c*x^2 + b*x + a)*log(f) + sqrt(pi)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/log(f)^2","A",0
452,1,17,0,0.989876," ","integrate(f^(c*x^2+b*x+a)*(2*c*x+b),x, algorithm=""fricas"")","\frac{f^{c x^{2} + b x + a}}{\log\left(f\right)}"," ",0,"f^(c*x^2 + b*x + a)/log(f)","A",0
453,1,47,0,0.990729," ","integrate(f^(c*x^2+b*x+a)/(2*c*x+b),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(\frac{{\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} \log\left(f\right)}{4 \, c}\right)}{4 \, c f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}"," ",0,"1/4*Ei(1/4*(4*c^2*x^2 + 4*b*c*x + b^2)*log(f)/c)/(c*f^(1/4*(b^2 - 4*a*c)/c))","A",0
454,1,85,0,1.000622," ","integrate(f^(c*x^2+b*x+a)/(2*c*x+b)^2,x, algorithm=""fricas"")","-\frac{2 \, c f^{c x^{2} + b x + a} + \frac{\sqrt{\pi} {\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{4 \, {\left(2 \, c^{3} x + b c^{2}\right)}}"," ",0,"-1/4*(2*c*f^(c*x^2 + b*x + a) + sqrt(pi)*(2*c*x + b)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*(b^2 - 4*a*c)/c))/(2*c^3*x + b*c^2)","A",0
455,1,106,0,1.186476," ","integrate(f^(c*x^2+b*x+a)/(2*c*x+b)^3,x, algorithm=""fricas"")","-\frac{4 \, c f^{c x^{2} + b x + a} - \frac{{\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} {\rm Ei}\left(\frac{{\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)}{f^{\frac{b^{2} - 4 \, a c}{4 \, c}}}}{16 \, {\left(4 \, c^{4} x^{2} + 4 \, b c^{3} x + b^{2} c^{2}\right)}}"," ",0,"-1/16*(4*c*f^(c*x^2 + b*x + a) - (4*c^2*x^2 + 4*b*c*x + b^2)*Ei(1/4*(4*c^2*x^2 + 4*b*c*x + b^2)*log(f)/c)*log(f)/f^(1/4*(b^2 - 4*a*c)/c))/(4*c^4*x^2 + 4*b*c^3*x + b^2*c^2)","A",0
456,1,40,0,1.109453," ","integrate(f^(c*x^2+b*x)*(2*c*x+b)^3,x, algorithm=""fricas"")","\frac{{\left({\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} \log\left(f\right) - 4 \, c\right)} f^{c x^{2} + b x}}{\log\left(f\right)^{2}}"," ",0,"((4*c^2*x^2 + 4*b*c*x + b^2)*log(f) - 4*c)*f^(c*x^2 + b*x)/log(f)^2","A",0
457,1,68,0,0.822538," ","integrate(f^(c*x^2+b*x)*(2*c*x+b)^2,x, algorithm=""fricas"")","\frac{{\left(2 \, c x + b\right)} f^{c x^{2} + b x} \log\left(f\right) + \frac{\sqrt{\pi} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2}}{4 \, c}}}}{\log\left(f\right)^{2}}"," ",0,"((2*c*x + b)*f^(c*x^2 + b*x)*log(f) + sqrt(pi)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*b^2/c))/log(f)^2","A",0
458,1,16,0,1.151975," ","integrate(f^(c*x^2+b*x)*(2*c*x+b),x, algorithm=""fricas"")","\frac{f^{c x^{2} + b x}}{\log\left(f\right)}"," ",0,"f^(c*x^2 + b*x)/log(f)","A",0
459,1,42,0,1.087795," ","integrate(f^(c*x^2+b*x)/(2*c*x+b),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(\frac{{\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} \log\left(f\right)}{4 \, c}\right)}{4 \, c f^{\frac{b^{2}}{4 \, c}}}"," ",0,"1/4*Ei(1/4*(4*c^2*x^2 + 4*b*c*x + b^2)*log(f)/c)/(c*f^(1/4*b^2/c))","A",0
460,1,79,0,0.823755," ","integrate(f^(c*x^2+b*x)/(2*c*x+b)^2,x, algorithm=""fricas"")","-\frac{2 \, c f^{c x^{2} + b x} + \frac{\sqrt{\pi} {\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)} \operatorname{erf}\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c \log\left(f\right)}}{2 \, c}\right)}{f^{\frac{b^{2}}{4 \, c}}}}{4 \, {\left(2 \, c^{3} x + b c^{2}\right)}}"," ",0,"-1/4*(2*c*f^(c*x^2 + b*x) + sqrt(pi)*(2*c*x + b)*sqrt(-c*log(f))*erf(1/2*(2*c*x + b)*sqrt(-c*log(f))/c)/f^(1/4*b^2/c))/(2*c^3*x + b*c^2)","A",0
461,1,100,0,0.826855," ","integrate(f^(c*x^2+b*x)/(2*c*x+b)^3,x, algorithm=""fricas"")","-\frac{4 \, c f^{c x^{2} + b x} - \frac{{\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} {\rm Ei}\left(\frac{{\left(4 \, c^{2} x^{2} + 4 \, b c x + b^{2}\right)} \log\left(f\right)}{4 \, c}\right) \log\left(f\right)}{f^{\frac{b^{2}}{4 \, c}}}}{16 \, {\left(4 \, c^{4} x^{2} + 4 \, b c^{3} x + b^{2} c^{2}\right)}}"," ",0,"-1/16*(4*c*f^(c*x^2 + b*x) - (4*c^2*x^2 + 4*b*c*x + b^2)*Ei(1/4*(4*c^2*x^2 + 4*b*c*x + b^2)*log(f)/c)*log(f)/f^(1/4*b^2/c))/(4*c^4*x^2 + 4*b*c^3*x + b^2*c^2)","A",0
462,1,128,0,1.002279," ","integrate(exp(b*x+a)/x^2/(d*x^2+c),x, algorithm=""fricas"")","\frac{2 \, b^{2} c x {\rm Ei}\left(b x\right) e^{a} + \sqrt{-\frac{b^{2} c}{d}} d x {\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a + \sqrt{-\frac{b^{2} c}{d}}\right)} - \sqrt{-\frac{b^{2} c}{d}} d x {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a - \sqrt{-\frac{b^{2} c}{d}}\right)} - 2 \, b c e^{\left(b x + a\right)}}{2 \, b c^{2} x}"," ",0,"1/2*(2*b^2*c*x*Ei(b*x)*e^a + sqrt(-b^2*c/d)*d*x*Ei(b*x - sqrt(-b^2*c/d))*e^(a + sqrt(-b^2*c/d)) - sqrt(-b^2*c/d)*d*x*Ei(b*x + sqrt(-b^2*c/d))*e^(a - sqrt(-b^2*c/d)) - 2*b*c*e^(b*x + a))/(b*c^2*x)","A",0
463,1,80,0,0.799778," ","integrate(exp(b*x+a)/x/(d*x^2+c),x, algorithm=""fricas"")","-\frac{{\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a + \sqrt{-\frac{b^{2} c}{d}}\right)} + {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a - \sqrt{-\frac{b^{2} c}{d}}\right)} - 2 \, {\rm Ei}\left(b x\right) e^{a}}{2 \, c}"," ",0,"-1/2*(Ei(b*x - sqrt(-b^2*c/d))*e^(a + sqrt(-b^2*c/d)) + Ei(b*x + sqrt(-b^2*c/d))*e^(a - sqrt(-b^2*c/d)) - 2*Ei(b*x)*e^a)/c","A",0
464,1,98,0,1.145535," ","integrate(exp(b*x+a)/(d*x^2+c),x, algorithm=""fricas"")","-\frac{\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a + \sqrt{-\frac{b^{2} c}{d}}\right)} - \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a - \sqrt{-\frac{b^{2} c}{d}}\right)}}{2 \, b c}"," ",0,"-1/2*(sqrt(-b^2*c/d)*Ei(b*x - sqrt(-b^2*c/d))*e^(a + sqrt(-b^2*c/d)) - sqrt(-b^2*c/d)*Ei(b*x + sqrt(-b^2*c/d))*e^(a - sqrt(-b^2*c/d)))/(b*c)","A",0
465,1,72,0,1.009001," ","integrate(exp(b*x+a)*x/(d*x^2+c),x, algorithm=""fricas"")","\frac{{\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a + \sqrt{-\frac{b^{2} c}{d}}\right)} + {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a - \sqrt{-\frac{b^{2} c}{d}}\right)}}{2 \, d}"," ",0,"1/2*(Ei(b*x - sqrt(-b^2*c/d))*e^(a + sqrt(-b^2*c/d)) + Ei(b*x + sqrt(-b^2*c/d))*e^(a - sqrt(-b^2*c/d)))/d","A",0
466,1,106,0,0.997685," ","integrate(exp(b*x+a)*x^2/(d*x^2+c),x, algorithm=""fricas"")","\frac{\sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x - \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a + \sqrt{-\frac{b^{2} c}{d}}\right)} - \sqrt{-\frac{b^{2} c}{d}} {\rm Ei}\left(b x + \sqrt{-\frac{b^{2} c}{d}}\right) e^{\left(a - \sqrt{-\frac{b^{2} c}{d}}\right)} + 2 \, e^{\left(b x + a\right)}}{2 \, b d}"," ",0,"1/2*(sqrt(-b^2*c/d)*Ei(b*x - sqrt(-b^2*c/d))*e^(a + sqrt(-b^2*c/d)) - sqrt(-b^2*c/d)*Ei(b*x + sqrt(-b^2*c/d))*e^(a - sqrt(-b^2*c/d)) + 2*e^(b*x + a))/(b*d)","A",0
467,1,313,0,0.743916," ","integrate(exp(e*x+d)/x^2/(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{2 \, {\left({\left(a b^{2} - 4 \, a^{2} c\right)} e^{2} - {\left(b^{3} - 4 \, a b c\right)} e\right)} x {\rm Ei}\left(e x\right) e^{d} - 2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} e e^{\left(e x + d\right)} + {\left({\left(b^{3} - 4 \, a b c\right)} e x + {\left(b^{2} c - 2 \, a c^{2}\right)} \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} x\right)} {\rm Ei}\left(\frac{2 \, c e x + b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} + {\left({\left(b^{3} - 4 \, a b c\right)} e x - {\left(b^{2} c - 2 \, a c^{2}\right)} \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} x\right)} {\rm Ei}\left(\frac{2 \, c e x + b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)}}{2 \, {\left(a^{2} b^{2} - 4 \, a^{3} c\right)} e x}"," ",0,"1/2*(2*((a*b^2 - 4*a^2*c)*e^2 - (b^3 - 4*a*b*c)*e)*x*Ei(e*x)*e^d - 2*(a*b^2 - 4*a^2*c)*e*e^(e*x + d) + ((b^3 - 4*a*b*c)*e*x + (b^2*c - 2*a*c^2)*sqrt((b^2 - 4*a*c)*e^2/c^2)*x)*Ei(1/2*(2*c*e*x + b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) + ((b^3 - 4*a*b*c)*e*x - (b^2*c - 2*a*c^2)*sqrt((b^2 - 4*a*c)*e^2/c^2)*x)*Ei(1/2*(2*c*e*x + b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c))/((a^2*b^2 - 4*a^3*c)*e*x)","A",0
468,1,241,0,1.116821," ","integrate(exp(e*x+d)/x/(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} - 4 \, a c\right)} e {\rm Ei}\left(e x\right) e^{d} - {\left(b c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} + {\left(b^{2} - 4 \, a c\right)} e\right)} {\rm Ei}\left(\frac{2 \, c e x + b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} + {\left(b c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} - {\left(b^{2} - 4 \, a c\right)} e\right)} {\rm Ei}\left(\frac{2 \, c e x + b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)}}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} e}"," ",0,"1/2*(2*(b^2 - 4*a*c)*e*Ei(e*x)*e^d - (b*c*sqrt((b^2 - 4*a*c)*e^2/c^2) + (b^2 - 4*a*c)*e)*Ei(1/2*(2*c*e*x + b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) + (b*c*sqrt((b^2 - 4*a*c)*e^2/c^2) - (b^2 - 4*a*c)*e)*Ei(1/2*(2*c*e*x + b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c))/((a*b^2 - 4*a^2*c)*e)","A",0
469,1,192,0,0.638670," ","integrate(exp(e*x+d)/(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} {\rm Ei}\left(\frac{2 \, c e x + b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} {\rm Ei}\left(\frac{2 \, c e x + b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)}}{{\left(b^{2} - 4 \, a c\right)} e}"," ",0,"(c*sqrt((b^2 - 4*a*c)*e^2/c^2)*Ei(1/2*(2*c*e*x + b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) - c*sqrt((b^2 - 4*a*c)*e^2/c^2)*Ei(1/2*(2*c*e*x + b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c))/((b^2 - 4*a*c)*e)","A",0
470,1,224,0,0.864084," ","integrate(exp(e*x+d)*x/(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{{\left(b c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} - {\left(b^{2} - 4 \, a c\right)} e\right)} {\rm Ei}\left(\frac{2 \, c e x + b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} - {\left(b c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}} + {\left(b^{2} - 4 \, a c\right)} e\right)} {\rm Ei}\left(\frac{2 \, c e x + b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)}}{2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} e}"," ",0,"-1/2*((b*c*sqrt((b^2 - 4*a*c)*e^2/c^2) - (b^2 - 4*a*c)*e)*Ei(1/2*(2*c*e*x + b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) - (b*c*sqrt((b^2 - 4*a*c)*e^2/c^2) + (b^2 - 4*a*c)*e)*Ei(1/2*(2*c*e*x + b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c))/((b^2*c - 4*a*c^2)*e)","A",0
471,1,267,0,1.112008," ","integrate(exp(e*x+d)*x^2/(c*x^2+b*x+a),x, algorithm=""fricas"")","-\frac{{\left({\left(b^{3} - 4 \, a b c\right)} e - {\left(b^{2} c - 2 \, a c^{2}\right)} \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}\right)} {\rm Ei}\left(\frac{2 \, c e x + b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} + {\left({\left(b^{3} - 4 \, a b c\right)} e + {\left(b^{2} c - 2 \, a c^{2}\right)} \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}\right)} {\rm Ei}\left(\frac{2 \, c e x + b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} - 2 \, {\left(b^{2} c - 4 \, a c^{2}\right)} e^{\left(e x + d\right)}}{2 \, {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} e}"," ",0,"-1/2*(((b^3 - 4*a*b*c)*e - (b^2*c - 2*a*c^2)*sqrt((b^2 - 4*a*c)*e^2/c^2))*Ei(1/2*(2*c*e*x + b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) + ((b^3 - 4*a*b*c)*e + (b^2*c - 2*a*c^2)*sqrt((b^2 - 4*a*c)*e^2/c^2))*Ei(1/2*(2*c*e*x + b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) - 2*(b^2*c - 4*a*c^2)*e^(e*x + d))/((b^2*c^2 - 4*a*c^3)*e)","A",0
472,1,330,0,0.949699," ","integrate(exp(e*x+d)*x^3/(c*x^2+b*x+a),x, algorithm=""fricas"")","\frac{{\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} e^{2} - {\left(b^{3} c - 3 \, a b c^{2}\right)} e \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}\right)} {\rm Ei}\left(\frac{2 \, c e x + b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} + {\left({\left(b^{4} - 5 \, a b^{2} c + 4 \, a^{2} c^{2}\right)} e^{2} + {\left(b^{3} c - 3 \, a b c^{2}\right)} e \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}\right)} {\rm Ei}\left(\frac{2 \, c e x + b e + c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right) e^{\left(\frac{2 \, c d - b e - c \sqrt{\frac{{\left(b^{2} - 4 \, a c\right)} e^{2}}{c^{2}}}}{2 \, c}\right)} - 2 \, {\left(b^{2} c^{2} - 4 \, a c^{3} - {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} e x + {\left(b^{3} c - 4 \, a b c^{2}\right)} e\right)} e^{\left(e x + d\right)}}{2 \, {\left(b^{2} c^{3} - 4 \, a c^{4}\right)} e^{2}}"," ",0,"1/2*(((b^4 - 5*a*b^2*c + 4*a^2*c^2)*e^2 - (b^3*c - 3*a*b*c^2)*e*sqrt((b^2 - 4*a*c)*e^2/c^2))*Ei(1/2*(2*c*e*x + b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) + ((b^4 - 5*a*b^2*c + 4*a^2*c^2)*e^2 + (b^3*c - 3*a*b*c^2)*e*sqrt((b^2 - 4*a*c)*e^2/c^2))*Ei(1/2*(2*c*e*x + b*e + c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c)*e^(1/2*(2*c*d - b*e - c*sqrt((b^2 - 4*a*c)*e^2/c^2))/c) - 2*(b^2*c^2 - 4*a*c^3 - (b^2*c^2 - 4*a*c^3)*e*x + (b^3*c - 4*a*b*c^2)*e)*e^(e*x + d))/((b^2*c^3 - 4*a*c^4)*e^2)","A",0
473,1,25,0,0.665975," ","integrate(4^x/(a+2^x*b),x, algorithm=""fricas"")","\frac{2^{x} b - a \log\left(2^{x} b + a\right)}{b^{2} \log\left(2\right)}"," ",0,"(2^x*b - a*log(2^x*b + a))/(b^2*log(2))","A",0
474,1,25,0,0.829684," ","integrate(2^(2*x)/(a+2^x*b),x, algorithm=""fricas"")","\frac{2^{x} b - a \log\left(2^{x} b + a\right)}{b^{2} \log\left(2\right)}"," ",0,"(2^x*b - a*log(2^x*b + a))/(b^2*log(2))","A",0
475,1,27,0,1.101804," ","integrate(4^x/(a-2^x*b),x, algorithm=""fricas"")","-\frac{2^{x} b + a \log\left(2^{x} b - a\right)}{b^{2} \log\left(2\right)}"," ",0,"-(2^x*b + a*log(2^x*b - a))/(b^2*log(2))","A",0
476,1,27,0,0.856981," ","integrate(2^(2*x)/(a-2^x*b),x, algorithm=""fricas"")","-\frac{2^{x} b + a \log\left(2^{x} b - a\right)}{b^{2} \log\left(2\right)}"," ",0,"-(2^x*b + a*log(2^x*b - a))/(b^2*log(2))","A",0
477,1,39,0,0.971805," ","integrate(4^x/(a+b/(2^x)),x, algorithm=""fricas"")","\frac{2^{2 \, x} a^{2} - 2 \cdot 2^{x} a b + 2 \, b^{2} \log\left(2^{x} a + b\right)}{2 \, a^{3} \log\left(2\right)}"," ",0,"1/2*(2^(2*x)*a^2 - 2*2^x*a*b + 2*b^2*log(2^x*a + b))/(a^3*log(2))","A",0
478,1,39,0,0.796651," ","integrate(2^(2*x)/(a+b/(2^x)),x, algorithm=""fricas"")","\frac{2^{2 \, x} a^{2} - 2 \cdot 2^{x} a b + 2 \, b^{2} \log\left(2^{x} a + b\right)}{2 \, a^{3} \log\left(2\right)}"," ",0,"1/2*(2^(2*x)*a^2 - 2*2^x*a*b + 2*b^2*log(2^x*a + b))/(a^3*log(2))","A",0
479,1,41,0,1.027604," ","integrate(4^x/(a-b/(2^x)),x, algorithm=""fricas"")","\frac{2^{2 \, x} a^{2} + 2 \cdot 2^{x} a b + 2 \, b^{2} \log\left(2^{x} a - b\right)}{2 \, a^{3} \log\left(2\right)}"," ",0,"1/2*(2^(2*x)*a^2 + 2*2^x*a*b + 2*b^2*log(2^x*a - b))/(a^3*log(2))","A",0
480,1,41,0,1.256280," ","integrate(2^(2*x)/(a-b/(2^x)),x, algorithm=""fricas"")","\frac{2^{2 \, x} a^{2} + 2 \cdot 2^{x} a b + 2 \, b^{2} \log\left(2^{x} a - b\right)}{2 \, a^{3} \log\left(2\right)}"," ",0,"1/2*(2^(2*x)*a^2 + 2*2^x*a*b + 2*b^2*log(2^x*a - b))/(a^3*log(2))","A",0
481,1,86,0,0.939627," ","integrate(2^x/(a+4^x*b),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{2^{2 \, x} b - 2 \, \sqrt{-a b} 2^{x} - a}{2^{2 \, x} b + a}\right)}{2 \, a b \log\left(2\right)}, -\frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{2^{x} b}\right)}{a b \log\left(2\right)}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((2^(2*x)*b - 2*sqrt(-a*b)*2^x - a)/(2^(2*x)*b + a))/(a*b*log(2)), -sqrt(a*b)*arctan(sqrt(a*b)/(2^x*b))/(a*b*log(2))]","A",0
482,1,86,0,1.028094," ","integrate(2^x/(a+2^(2*x)*b),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a b} \log\left(\frac{2^{2 \, x} b - 2 \, \sqrt{-a b} 2^{x} - a}{2^{2 \, x} b + a}\right)}{2 \, a b \log\left(2\right)}, -\frac{\sqrt{a b} \arctan\left(\frac{\sqrt{a b}}{2^{x} b}\right)}{a b \log\left(2\right)}\right]"," ",0,"[-1/2*sqrt(-a*b)*log((2^(2*x)*b - 2*sqrt(-a*b)*2^x - a)/(2^(2*x)*b + a))/(a*b*log(2)), -sqrt(a*b)*arctan(sqrt(a*b)/(2^x*b))/(a*b*log(2))]","A",0
483,1,86,0,1.139661," ","integrate(2^x/(a-4^x*b),x, algorithm=""fricas"")","\left[\frac{\sqrt{a b} \log\left(\frac{2^{2 \, x} b + 2 \, \sqrt{a b} 2^{x} + a}{2^{2 \, x} b - a}\right)}{2 \, a b \log\left(2\right)}, -\frac{\sqrt{-a b} \arctan\left(\frac{\sqrt{-a b}}{2^{x} b}\right)}{a b \log\left(2\right)}\right]"," ",0,"[1/2*sqrt(a*b)*log((2^(2*x)*b + 2*sqrt(a*b)*2^x + a)/(2^(2*x)*b - a))/(a*b*log(2)), -sqrt(-a*b)*arctan(sqrt(-a*b)/(2^x*b))/(a*b*log(2))]","A",0
484,1,86,0,0.874175," ","integrate(2^x/(a-2^(2*x)*b),x, algorithm=""fricas"")","\left[\frac{\sqrt{a b} \log\left(\frac{2^{2 \, x} b + 2 \, \sqrt{a b} 2^{x} + a}{2^{2 \, x} b - a}\right)}{2 \, a b \log\left(2\right)}, -\frac{\sqrt{-a b} \arctan\left(\frac{\sqrt{-a b}}{2^{x} b}\right)}{a b \log\left(2\right)}\right]"," ",0,"[1/2*sqrt(a*b)*log((2^(2*x)*b + 2*sqrt(a*b)*2^x + a)/(2^(2*x)*b - a))/(a*b*log(2)), -sqrt(-a*b)*arctan(sqrt(-a*b)/(2^x*b))/(a*b*log(2))]","A",0
485,1,102,0,1.211965," ","integrate(2^x/(a+b/(4^x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{b}{a}} \log\left(-\frac{2 \cdot 2^{x} a \sqrt{-\frac{b}{a}} - 2^{2 \, x} a + b}{2^{2 \, x} a + b}\right) + 2 \cdot 2^{x}}{2 \, a \log\left(2\right)}, -\frac{\sqrt{\frac{b}{a}} \arctan\left(\frac{2^{x} a \sqrt{\frac{b}{a}}}{b}\right) - 2^{x}}{a \log\left(2\right)}\right]"," ",0,"[1/2*(sqrt(-b/a)*log(-(2*2^x*a*sqrt(-b/a) - 2^(2*x)*a + b)/(2^(2*x)*a + b)) + 2*2^x)/(a*log(2)), -(sqrt(b/a)*arctan(2^x*a*sqrt(b/a)/b) - 2^x)/(a*log(2))]","A",0
486,1,102,0,1.079284," ","integrate(2^x/(a+b/(2^(2*x))),x, algorithm=""fricas"")","\left[\frac{\sqrt{-\frac{b}{a}} \log\left(-\frac{2 \cdot 2^{x} a \sqrt{-\frac{b}{a}} - 2^{2 \, x} a + b}{2^{2 \, x} a + b}\right) + 2 \cdot 2^{x}}{2 \, a \log\left(2\right)}, -\frac{\sqrt{\frac{b}{a}} \arctan\left(\frac{2^{x} a \sqrt{\frac{b}{a}}}{b}\right) - 2^{x}}{a \log\left(2\right)}\right]"," ",0,"[1/2*(sqrt(-b/a)*log(-(2*2^x*a*sqrt(-b/a) - 2^(2*x)*a + b)/(2^(2*x)*a + b)) + 2*2^x)/(a*log(2)), -(sqrt(b/a)*arctan(2^x*a*sqrt(b/a)/b) - 2^x)/(a*log(2))]","A",0
487,1,103,0,1.001808," ","integrate(2^x/(a-b/(4^x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{b}{a}} \log\left(-\frac{2 \cdot 2^{x} a \sqrt{\frac{b}{a}} - 2^{2 \, x} a - b}{2^{2 \, x} a - b}\right) + 2 \cdot 2^{x}}{2 \, a \log\left(2\right)}, \frac{\sqrt{-\frac{b}{a}} \arctan\left(\frac{2^{x} a \sqrt{-\frac{b}{a}}}{b}\right) + 2^{x}}{a \log\left(2\right)}\right]"," ",0,"[1/2*(sqrt(b/a)*log(-(2*2^x*a*sqrt(b/a) - 2^(2*x)*a - b)/(2^(2*x)*a - b)) + 2*2^x)/(a*log(2)), (sqrt(-b/a)*arctan(2^x*a*sqrt(-b/a)/b) + 2^x)/(a*log(2))]","A",0
488,1,103,0,0.805686," ","integrate(2^x/(a-b/(2^(2*x))),x, algorithm=""fricas"")","\left[\frac{\sqrt{\frac{b}{a}} \log\left(-\frac{2 \cdot 2^{x} a \sqrt{\frac{b}{a}} - 2^{2 \, x} a - b}{2^{2 \, x} a - b}\right) + 2 \cdot 2^{x}}{2 \, a \log\left(2\right)}, \frac{\sqrt{-\frac{b}{a}} \arctan\left(\frac{2^{x} a \sqrt{-\frac{b}{a}}}{b}\right) + 2^{x}}{a \log\left(2\right)}\right]"," ",0,"[1/2*(sqrt(b/a)*log(-(2*2^x*a*sqrt(b/a) - 2^(2*x)*a - b)/(2^(2*x)*a - b)) + 2*2^x)/(a*log(2)), (sqrt(-b/a)*arctan(2^x*a*sqrt(-b/a)/b) + 2^x)/(a*log(2))]","A",0
489,1,77,0,1.245462," ","integrate(2^x/(a+4^x*b)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-2 \, \sqrt{2^{2 \, x} b + a} 2^{x} \sqrt{b} - 2 \cdot 2^{2 \, x} b - a\right)}{2 \, \sqrt{b} \log\left(2\right)}, -\frac{\sqrt{-b} \arctan\left(\frac{2^{x} \sqrt{-b}}{\sqrt{2^{2 \, x} b + a}}\right)}{b \log\left(2\right)}\right]"," ",0,"[1/2*log(-2*sqrt(2^(2*x)*b + a)*2^x*sqrt(b) - 2*2^(2*x)*b - a)/(sqrt(b)*log(2)), -sqrt(-b)*arctan(2^x*sqrt(-b)/sqrt(2^(2*x)*b + a))/(b*log(2))]","A",0
490,1,77,0,1.090885," ","integrate(2^x/(a+2^(2*x)*b)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-2 \, \sqrt{2^{2 \, x} b + a} 2^{x} \sqrt{b} - 2 \cdot 2^{2 \, x} b - a\right)}{2 \, \sqrt{b} \log\left(2\right)}, -\frac{\sqrt{-b} \arctan\left(\frac{2^{x} \sqrt{-b}}{\sqrt{2^{2 \, x} b + a}}\right)}{b \log\left(2\right)}\right]"," ",0,"[1/2*log(-2*sqrt(2^(2*x)*b + a)*2^x*sqrt(b) - 2*2^(2*x)*b - a)/(sqrt(b)*log(2)), -sqrt(-b)*arctan(2^x*sqrt(-b)/sqrt(2^(2*x)*b + a))/(b*log(2))]","A",0
491,1,92,0,1.060080," ","integrate(2^x/(a-4^x*b)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-2 \, \sqrt{-2^{2 \, x} b + a} 2^{x} \sqrt{-b} + 2 \cdot 2^{2 \, x} b - a\right)}{2 \, b \log\left(2\right)}, -\frac{\arctan\left(\frac{\sqrt{-2^{2 \, x} b + a} 2^{x} \sqrt{b}}{2^{2 \, x} b - a}\right)}{\sqrt{b} \log\left(2\right)}\right]"," ",0,"[-1/2*sqrt(-b)*log(-2*sqrt(-2^(2*x)*b + a)*2^x*sqrt(-b) + 2*2^(2*x)*b - a)/(b*log(2)), -arctan(sqrt(-2^(2*x)*b + a)*2^x*sqrt(b)/(2^(2*x)*b - a))/(sqrt(b)*log(2))]","A",0
492,1,92,0,0.983142," ","integrate(2^x/(a-2^(2*x)*b)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-b} \log\left(-2 \, \sqrt{-2^{2 \, x} b + a} 2^{x} \sqrt{-b} + 2 \cdot 2^{2 \, x} b - a\right)}{2 \, b \log\left(2\right)}, -\frac{\arctan\left(\frac{\sqrt{-2^{2 \, x} b + a} 2^{x} \sqrt{b}}{2^{2 \, x} b - a}\right)}{\sqrt{b} \log\left(2\right)}\right]"," ",0,"[-1/2*sqrt(-b)*log(-2*sqrt(-2^(2*x)*b + a)*2^x*sqrt(-b) + 2*2^(2*x)*b - a)/(b*log(2)), -arctan(sqrt(-2^(2*x)*b + a)*2^x*sqrt(b)/(2^(2*x)*b - a))/(sqrt(b)*log(2))]","A",0
493,1,30,0,1.189050," ","integrate(2^x/(a+b/(4^x))^(1/2),x, algorithm=""fricas"")","\frac{2^{x} \sqrt{\frac{2^{2 \, x} a + b}{2^{2 \, x}}}}{a \log\left(2\right)}"," ",0,"2^x*sqrt((2^(2*x)*a + b)/2^(2*x))/(a*log(2))","A",0
494,1,30,0,0.855914," ","integrate(2^x/(a+b/(2^(2*x)))^(1/2),x, algorithm=""fricas"")","\frac{2^{x} \sqrt{\frac{2^{2 \, x} a + b}{2^{2 \, x}}}}{a \log\left(2\right)}"," ",0,"2^x*sqrt((2^(2*x)*a + b)/2^(2*x))/(a*log(2))","A",0
495,1,32,0,1.033349," ","integrate(2^x/(a-b/(4^x))^(1/2),x, algorithm=""fricas"")","\frac{2^{x} \sqrt{\frac{2^{2 \, x} a - b}{2^{2 \, x}}}}{a \log\left(2\right)}"," ",0,"2^x*sqrt((2^(2*x)*a - b)/2^(2*x))/(a*log(2))","A",0
496,1,32,0,0.959430," ","integrate(2^x/(a-b/(2^(2*x)))^(1/2),x, algorithm=""fricas"")","\frac{2^{x} \sqrt{\frac{2^{2 \, x} a - b}{2^{2 \, x}}}}{a \log\left(2\right)}"," ",0,"2^x*sqrt((2^(2*x)*a - b)/2^(2*x))/(a*log(2))","A",0
497,1,27,0,1.047184," ","integrate(4^x/(a+2^x*b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{2^{x} b + a} {\left(2^{x} b - 2 \, a\right)}}{3 \, b^{2} \log\left(2\right)}"," ",0,"2/3*sqrt(2^x*b + a)*(2^x*b - 2*a)/(b^2*log(2))","A",0
498,1,27,0,0.988749," ","integrate(2^(2*x)/(a+2^x*b)^(1/2),x, algorithm=""fricas"")","\frac{2 \, \sqrt{2^{x} b + a} {\left(2^{x} b - 2 \, a\right)}}{3 \, b^{2} \log\left(2\right)}"," ",0,"2/3*sqrt(2^x*b + a)*(2^x*b - 2*a)/(b^2*log(2))","A",0
499,1,28,0,0.808383," ","integrate(4^x/(a-2^x*b)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2^{x} b + 2 \, a\right)} \sqrt{-2^{x} b + a}}{3 \, b^{2} \log\left(2\right)}"," ",0,"-2/3*(2^x*b + 2*a)*sqrt(-2^x*b + a)/(b^2*log(2))","A",0
500,1,28,0,0.893585," ","integrate(2^(2*x)/(a-2^x*b)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2^{x} b + 2 \, a\right)} \sqrt{-2^{x} b + a}}{3 \, b^{2} \log\left(2\right)}"," ",0,"-2/3*(2^x*b + 2*a)*sqrt(-2^x*b + a)/(b^2*log(2))","A",0
501,1,166,0,0.924752," ","integrate(4^x/(a+b/(2^x))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} \log\left(2 \cdot 2^{x} a + 2 \cdot 2^{x} \sqrt{a} \sqrt{\frac{2^{x} a + b}{2^{x}}} + b\right) + 2 \, {\left(2 \cdot 2^{2 \, x} a^{2} - 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a + b}{2^{x}}}}{8 \, a^{3} \log\left(2\right)}, -\frac{3 \, \sqrt{-a} b^{2} \arctan\left(\frac{\sqrt{-a} \sqrt{\frac{2^{x} a + b}{2^{x}}}}{a}\right) - {\left(2 \cdot 2^{2 \, x} a^{2} - 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a + b}{2^{x}}}}{4 \, a^{3} \log\left(2\right)}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*log(2*2^x*a + 2*2^x*sqrt(a)*sqrt((2^x*a + b)/2^x) + b) + 2*(2*2^(2*x)*a^2 - 3*2^x*a*b)*sqrt((2^x*a + b)/2^x))/(a^3*log(2)), -1/4*(3*sqrt(-a)*b^2*arctan(sqrt(-a)*sqrt((2^x*a + b)/2^x)/a) - (2*2^(2*x)*a^2 - 3*2^x*a*b)*sqrt((2^x*a + b)/2^x))/(a^3*log(2))]","A",0
502,1,166,0,0.690706," ","integrate(2^(2*x)/(a+b/(2^x))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} \log\left(2 \cdot 2^{x} a + 2 \cdot 2^{x} \sqrt{a} \sqrt{\frac{2^{x} a + b}{2^{x}}} + b\right) + 2 \, {\left(2 \cdot 2^{2 \, x} a^{2} - 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a + b}{2^{x}}}}{8 \, a^{3} \log\left(2\right)}, -\frac{3 \, \sqrt{-a} b^{2} \arctan\left(\frac{\sqrt{-a} \sqrt{\frac{2^{x} a + b}{2^{x}}}}{a}\right) - {\left(2 \cdot 2^{2 \, x} a^{2} - 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a + b}{2^{x}}}}{4 \, a^{3} \log\left(2\right)}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*log(2*2^x*a + 2*2^x*sqrt(a)*sqrt((2^x*a + b)/2^x) + b) + 2*(2*2^(2*x)*a^2 - 3*2^x*a*b)*sqrt((2^x*a + b)/2^x))/(a^3*log(2)), -1/4*(3*sqrt(-a)*b^2*arctan(sqrt(-a)*sqrt((2^x*a + b)/2^x)/a) - (2*2^(2*x)*a^2 - 3*2^x*a*b)*sqrt((2^x*a + b)/2^x))/(a^3*log(2))]","A",0
503,1,174,0,0.778362," ","integrate(4^x/(a-b/(2^x))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} \log\left(-2 \cdot 2^{x} a - 2 \cdot 2^{x} \sqrt{a} \sqrt{\frac{2^{x} a - b}{2^{x}}} + b\right) + 2 \, {\left(2 \cdot 2^{2 \, x} a^{2} + 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a - b}{2^{x}}}}{8 \, a^{3} \log\left(2\right)}, -\frac{3 \, \sqrt{-a} b^{2} \arctan\left(\frac{\sqrt{-a} \sqrt{\frac{2^{x} a - b}{2^{x}}}}{a}\right) - {\left(2 \cdot 2^{2 \, x} a^{2} + 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a - b}{2^{x}}}}{4 \, a^{3} \log\left(2\right)}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*log(-2*2^x*a - 2*2^x*sqrt(a)*sqrt((2^x*a - b)/2^x) + b) + 2*(2*2^(2*x)*a^2 + 3*2^x*a*b)*sqrt((2^x*a - b)/2^x))/(a^3*log(2)), -1/4*(3*sqrt(-a)*b^2*arctan(sqrt(-a)*sqrt((2^x*a - b)/2^x)/a) - (2*2^(2*x)*a^2 + 3*2^x*a*b)*sqrt((2^x*a - b)/2^x))/(a^3*log(2))]","A",0
504,1,174,0,0.883895," ","integrate(2^(2*x)/(a-b/(2^x))^(1/2),x, algorithm=""fricas"")","\left[\frac{3 \, \sqrt{a} b^{2} \log\left(-2 \cdot 2^{x} a - 2 \cdot 2^{x} \sqrt{a} \sqrt{\frac{2^{x} a - b}{2^{x}}} + b\right) + 2 \, {\left(2 \cdot 2^{2 \, x} a^{2} + 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a - b}{2^{x}}}}{8 \, a^{3} \log\left(2\right)}, -\frac{3 \, \sqrt{-a} b^{2} \arctan\left(\frac{\sqrt{-a} \sqrt{\frac{2^{x} a - b}{2^{x}}}}{a}\right) - {\left(2 \cdot 2^{2 \, x} a^{2} + 3 \cdot 2^{x} a b\right)} \sqrt{\frac{2^{x} a - b}{2^{x}}}}{4 \, a^{3} \log\left(2\right)}\right]"," ",0,"[1/8*(3*sqrt(a)*b^2*log(-2*2^x*a - 2*2^x*sqrt(a)*sqrt((2^x*a - b)/2^x) + b) + 2*(2*2^(2*x)*a^2 + 3*2^x*a*b)*sqrt((2^x*a - b)/2^x))/(a^3*log(2)), -1/4*(3*sqrt(-a)*b^2*arctan(sqrt(-a)*sqrt((2^x*a - b)/2^x)/a) - (2*2^(2*x)*a^2 + 3*2^x*a*b)*sqrt((2^x*a - b)/2^x))/(a^3*log(2))]","A",0
505,1,25,0,0.639537," ","integrate(1/(1+2*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{x e^{x} - {\left(e^{x} + 1\right)} \log\left(e^{x} + 1\right) + x + 1}{e^{x} + 1}"," ",0,"(x*e^x - (e^x + 1)*log(e^x + 1) + x + 1)/(e^x + 1)","A",0
506,1,18,0,0.898010," ","integrate(1/(2+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{2} \, x + \frac{1}{2} \, \log\left(e^{x} + 2\right) - \log\left(e^{x} + 1\right)"," ",0,"1/2*x + 1/2*log(e^x + 2) - log(e^x + 1)","A",0
507,1,53,0,0.855258," ","integrate(1/(-1+exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{10} \, \sqrt{5} \log\left(-\frac{2 \, {\left(\sqrt{5} - 1\right)} e^{x} + \sqrt{5} - 2 \, e^{\left(2 \, x\right)} - 3}{e^{\left(2 \, x\right)} + e^{x} - 1}\right) - x + \frac{1}{2} \, \log\left(e^{\left(2 \, x\right)} + e^{x} - 1\right)"," ",0,"1/10*sqrt(5)*log(-(2*(sqrt(5) - 1)*e^x + sqrt(5) - 2*e^(2*x) - 3)/(e^(2*x) + e^x - 1)) - x + 1/2*log(e^(2*x) + e^x - 1)","A",0
508,1,34,0,0.913267," ","integrate(1/(3+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{2}{3} \, \sqrt{3} e^{x} + \sqrt{3}\right) + \frac{1}{3} \, x - \frac{1}{6} \, \log\left(e^{\left(2 \, x\right)} + 3 \, e^{x} + 3\right)"," ",0,"-1/3*sqrt(3)*arctan(2/3*sqrt(3)*e^x + sqrt(3)) + 1/3*x - 1/6*log(e^(2*x) + 3*e^x + 3)","A",0
509,1,219,0,1.079913," ","integrate(1/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""fricas"")","\left[\frac{\sqrt{b^{2} - 4 \, a c} b \log\left(\frac{2 \, c^{2} e^{\left(2 \, x\right)} + 2 \, b c e^{x} + b^{2} - 2 \, a c + \sqrt{b^{2} - 4 \, a c} {\left(2 \, c e^{x} + b\right)}}{c e^{\left(2 \, x\right)} + b e^{x} + a}\right) + 2 \, {\left(b^{2} - 4 \, a c\right)} x - {\left(b^{2} - 4 \, a c\right)} \log\left(c e^{\left(2 \, x\right)} + b e^{x} + a\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}, \frac{2 \, \sqrt{-b^{2} + 4 \, a c} b \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c e^{x} + b\right)}}{b^{2} - 4 \, a c}\right) + 2 \, {\left(b^{2} - 4 \, a c\right)} x - {\left(b^{2} - 4 \, a c\right)} \log\left(c e^{\left(2 \, x\right)} + b e^{x} + a\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}\right]"," ",0,"[1/2*(sqrt(b^2 - 4*a*c)*b*log((2*c^2*e^(2*x) + 2*b*c*e^x + b^2 - 2*a*c + sqrt(b^2 - 4*a*c)*(2*c*e^x + b))/(c*e^(2*x) + b*e^x + a)) + 2*(b^2 - 4*a*c)*x - (b^2 - 4*a*c)*log(c*e^(2*x) + b*e^x + a))/(a*b^2 - 4*a^2*c), 1/2*(2*sqrt(-b^2 + 4*a*c)*b*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*e^x + b)/(b^2 - 4*a*c)) + 2*(b^2 - 4*a*c)*x - (b^2 - 4*a*c)*log(c*e^(2*x) + b*e^x + a))/(a*b^2 - 4*a^2*c)]","A",0
510,1,49,0,0.844810," ","integrate(x/(1+2*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{x^{2} - 2 \, {\left(e^{x} + 1\right)} {\rm Li}_2\left(-e^{x}\right) + {\left(x^{2} - 2 \, x\right)} e^{x} - 2 \, {\left({\left(x - 1\right)} e^{x} + x - 1\right)} \log\left(e^{x} + 1\right)}{2 \, {\left(e^{x} + 1\right)}}"," ",0,"1/2*(x^2 - 2*(e^x + 1)*dilog(-e^x) + (x^2 - 2*x)*e^x - 2*((x - 1)*e^x + x - 1)*log(e^x + 1))/(e^x + 1)","A",0
511,1,38,0,0.868138," ","integrate(x/(2+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{4} \, x^{2} - x \log\left(e^{x} + 1\right) + \frac{1}{2} \, x \log\left(\frac{1}{2} \, e^{x} + 1\right) + \frac{1}{2} \, {\rm Li}_2\left(-\frac{1}{2} \, e^{x}\right) - {\rm Li}_2\left(-e^{x}\right)"," ",0,"1/4*x^2 - x*log(e^x + 1) + 1/2*x*log(1/2*e^x + 1) + 1/2*dilog(-1/2*e^x) - dilog(-e^x)","A",0
512,1,86,0,0.715606," ","integrate(x/(-1+exp(x)+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{2} \, x^{2} + \frac{1}{10} \, {\left(\sqrt{5} + 5\right)} {\rm Li}_2\left(\frac{1}{2} \, {\left(\sqrt{5} + 1\right)} e^{x}\right) - \frac{1}{10} \, {\left(\sqrt{5} - 5\right)} {\rm Li}_2\left(-\frac{1}{2} \, {\left(\sqrt{5} - 1\right)} e^{x}\right) + \frac{1}{10} \, {\left(\sqrt{5} x + 5 \, x\right)} \log\left(-\frac{1}{2} \, {\left(\sqrt{5} + 1\right)} e^{x} + 1\right) - \frac{1}{10} \, {\left(\sqrt{5} x - 5 \, x\right)} \log\left(\frac{1}{2} \, {\left(\sqrt{5} - 1\right)} e^{x} + 1\right)"," ",0,"-1/2*x^2 + 1/10*(sqrt(5) + 5)*dilog(1/2*(sqrt(5) + 1)*e^x) - 1/10*(sqrt(5) - 5)*dilog(-1/2*(sqrt(5) - 1)*e^x) + 1/10*(sqrt(5)*x + 5*x)*log(-1/2*(sqrt(5) + 1)*e^x + 1) - 1/10*(sqrt(5)*x - 5*x)*log(1/2*(sqrt(5) - 1)*e^x + 1)","A",0
513,1,100,0,0.821604," ","integrate(x/(3+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{6} \, x^{2} + \frac{1}{6} \, {\left(i \, \sqrt{3} - 1\right)} {\rm Li}_2\left(-\frac{1}{6} \, {\left(i \, \sqrt{3} + 3\right)} e^{x}\right) + \frac{1}{6} \, {\left(-i \, \sqrt{3} - 1\right)} {\rm Li}_2\left(-\frac{1}{6} \, {\left(-i \, \sqrt{3} + 3\right)} e^{x}\right) + \frac{1}{6} \, {\left(i \, \sqrt{3} x - x\right)} \log\left(\frac{1}{6} \, {\left(i \, \sqrt{3} + 3\right)} e^{x} + 1\right) + \frac{1}{6} \, {\left(-i \, \sqrt{3} x - x\right)} \log\left(\frac{1}{6} \, {\left(-i \, \sqrt{3} + 3\right)} e^{x} + 1\right)"," ",0,"1/6*x^2 + 1/6*(I*sqrt(3) - 1)*dilog(-1/6*(I*sqrt(3) + 3)*e^x) + 1/6*(-I*sqrt(3) - 1)*dilog(-1/6*(-I*sqrt(3) + 3)*e^x) + 1/6*(I*sqrt(3)*x - x)*log(1/6*(I*sqrt(3) + 3)*e^x + 1) + 1/6*(-I*sqrt(3)*x - x)*log(1/6*(-I*sqrt(3) + 3)*e^x + 1)","A",0
514,1,280,0,0.675973," ","integrate(x/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""fricas"")","\frac{{\left(b^{2} - 4 \, a c\right)} x^{2} - {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b^{2} - 4 \, a c\right)} {\rm Li}_2\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} + b e^{x} + 2 \, a}{2 \, a} + 1\right) + {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b^{2} + 4 \, a c\right)} {\rm Li}_2\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} - b e^{x} - 2 \, a}{2 \, a} + 1\right) - {\left(a b x \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + {\left(b^{2} - 4 \, a c\right)} x\right)} \log\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} + b e^{x} + 2 \, a}{2 \, a}\right) + {\left(a b x \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - {\left(b^{2} - 4 \, a c\right)} x\right)} \log\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} - b e^{x} - 2 \, a}{2 \, a}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}"," ",0,"1/2*((b^2 - 4*a*c)*x^2 - (a*b*sqrt((b^2 - 4*a*c)/a^2) + b^2 - 4*a*c)*dilog(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x + b*e^x + 2*a)/a + 1) + (a*b*sqrt((b^2 - 4*a*c)/a^2) - b^2 + 4*a*c)*dilog(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x - b*e^x - 2*a)/a + 1) - (a*b*x*sqrt((b^2 - 4*a*c)/a^2) + (b^2 - 4*a*c)*x)*log(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x + b*e^x + 2*a)/a) + (a*b*x*sqrt((b^2 - 4*a*c)/a^2) - (b^2 - 4*a*c)*x)*log(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x - b*e^x - 2*a)/a))/(a*b^2 - 4*a^2*c)","A",0
515,1,76,0,0.630974," ","integrate(x^2/(1+2*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{x^{3} - 6 \, {\left({\left(x - 1\right)} e^{x} + x - 1\right)} {\rm Li}_2\left(-e^{x}\right) + {\left(x^{3} - 3 \, x^{2}\right)} e^{x} - 3 \, {\left(x^{2} + {\left(x^{2} - 2 \, x\right)} e^{x} - 2 \, x\right)} \log\left(e^{x} + 1\right) + 6 \, {\left(e^{x} + 1\right)} {\rm polylog}\left(3, -e^{x}\right)}{3 \, {\left(e^{x} + 1\right)}}"," ",0,"1/3*(x^3 - 6*((x - 1)*e^x + x - 1)*dilog(-e^x) + (x^3 - 3*x^2)*e^x - 3*(x^2 + (x^2 - 2*x)*e^x - 2*x)*log(e^x + 1) + 6*(e^x + 1)*polylog(3, -e^x))/(e^x + 1)","C",0
516,1,59,0,0.778492," ","integrate(x^2/(2+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{6} \, x^{3} - x^{2} \log\left(e^{x} + 1\right) + \frac{1}{2} \, x^{2} \log\left(\frac{1}{2} \, e^{x} + 1\right) + x {\rm Li}_2\left(-\frac{1}{2} \, e^{x}\right) - 2 \, x {\rm Li}_2\left(-e^{x}\right) - {\rm polylog}\left(3, -\frac{1}{2} \, e^{x}\right) + 2 \, {\rm polylog}\left(3, -e^{x}\right)"," ",0,"1/6*x^3 - x^2*log(e^x + 1) + 1/2*x^2*log(1/2*e^x + 1) + x*dilog(-1/2*e^x) - 2*x*dilog(-e^x) - polylog(3, -1/2*e^x) + 2*polylog(3, -e^x)","C",0
517,1,138,0,0.526579," ","integrate(x^2/(-1+exp(x)+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{3} \, x^{3} + \frac{1}{5} \, {\left(\sqrt{5} x + 5 \, x\right)} {\rm Li}_2\left(\frac{1}{2} \, {\left(\sqrt{5} + 1\right)} e^{x}\right) - \frac{1}{5} \, {\left(\sqrt{5} x - 5 \, x\right)} {\rm Li}_2\left(-\frac{1}{2} \, {\left(\sqrt{5} - 1\right)} e^{x}\right) + \frac{1}{10} \, {\left(\sqrt{5} x^{2} + 5 \, x^{2}\right)} \log\left(-\frac{1}{2} \, {\left(\sqrt{5} + 1\right)} e^{x} + 1\right) - \frac{1}{10} \, {\left(\sqrt{5} x^{2} - 5 \, x^{2}\right)} \log\left(\frac{1}{2} \, {\left(\sqrt{5} - 1\right)} e^{x} + 1\right) - \frac{1}{5} \, {\left(\sqrt{5} + 5\right)} {\rm polylog}\left(3, \frac{1}{2} \, {\left(\sqrt{5} + 1\right)} e^{x}\right) + \frac{1}{5} \, {\left(\sqrt{5} - 5\right)} {\rm polylog}\left(3, -\frac{1}{2} \, {\left(\sqrt{5} - 1\right)} e^{x}\right)"," ",0,"-1/3*x^3 + 1/5*(sqrt(5)*x + 5*x)*dilog(1/2*(sqrt(5) + 1)*e^x) - 1/5*(sqrt(5)*x - 5*x)*dilog(-1/2*(sqrt(5) - 1)*e^x) + 1/10*(sqrt(5)*x^2 + 5*x^2)*log(-1/2*(sqrt(5) + 1)*e^x + 1) - 1/10*(sqrt(5)*x^2 - 5*x^2)*log(1/2*(sqrt(5) - 1)*e^x + 1) - 1/5*(sqrt(5) + 5)*polylog(3, 1/2*(sqrt(5) + 1)*e^x) + 1/5*(sqrt(5) - 5)*polylog(3, -1/2*(sqrt(5) - 1)*e^x)","C",0
518,1,150,0,0.636670," ","integrate(x^2/(3+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{9} \, x^{3} - \frac{1}{3} \, {\left(-i \, \sqrt{3} x + x\right)} {\rm Li}_2\left(-\frac{1}{6} \, {\left(i \, \sqrt{3} + 3\right)} e^{x}\right) - \frac{1}{3} \, {\left(i \, \sqrt{3} x + x\right)} {\rm Li}_2\left(-\frac{1}{6} \, {\left(-i \, \sqrt{3} + 3\right)} e^{x}\right) - \frac{1}{6} \, {\left(-i \, \sqrt{3} x^{2} + x^{2}\right)} \log\left(\frac{1}{6} \, {\left(i \, \sqrt{3} + 3\right)} e^{x} + 1\right) - \frac{1}{6} \, {\left(i \, \sqrt{3} x^{2} + x^{2}\right)} \log\left(\frac{1}{6} \, {\left(-i \, \sqrt{3} + 3\right)} e^{x} + 1\right) - \frac{1}{3} \, {\left(-i \, \sqrt{3} - 1\right)} {\rm polylog}\left(3, \frac{1}{6} \, {\left(i \, \sqrt{3} - 3\right)} e^{x}\right) - \frac{1}{3} \, {\left(i \, \sqrt{3} - 1\right)} {\rm polylog}\left(3, \frac{1}{6} \, {\left(-i \, \sqrt{3} - 3\right)} e^{x}\right)"," ",0,"1/9*x^3 - 1/3*(-I*sqrt(3)*x + x)*dilog(-1/6*(I*sqrt(3) + 3)*e^x) - 1/3*(I*sqrt(3)*x + x)*dilog(-1/6*(-I*sqrt(3) + 3)*e^x) - 1/6*(-I*sqrt(3)*x^2 + x^2)*log(1/6*(I*sqrt(3) + 3)*e^x + 1) - 1/6*(I*sqrt(3)*x^2 + x^2)*log(1/6*(-I*sqrt(3) + 3)*e^x + 1) - 1/3*(-I*sqrt(3) - 1)*polylog(3, 1/6*(I*sqrt(3) - 3)*e^x) - 1/3*(I*sqrt(3) - 1)*polylog(3, 1/6*(-I*sqrt(3) - 3)*e^x)","C",0
519,1,415,0,0.745621," ","integrate(x^2/(a+b*exp(x)+c*exp(2*x)),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} - 4 \, a c\right)} x^{3} - 6 \, {\left(a b x \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + {\left(b^{2} - 4 \, a c\right)} x\right)} {\rm Li}_2\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} + b e^{x} + 2 \, a}{2 \, a} + 1\right) + 6 \, {\left(a b x \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - {\left(b^{2} - 4 \, a c\right)} x\right)} {\rm Li}_2\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} - b e^{x} - 2 \, a}{2 \, a} + 1\right) - 3 \, {\left(a b x^{2} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + {\left(b^{2} - 4 \, a c\right)} x^{2}\right)} \log\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} + b e^{x} + 2 \, a}{2 \, a}\right) + 3 \, {\left(a b x^{2} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - {\left(b^{2} - 4 \, a c\right)} x^{2}\right)} \log\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} - b e^{x} - 2 \, a}{2 \, a}\right) + 6 \, {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b^{2} - 4 \, a c\right)} {\rm polylog}\left(3, -\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} + b e^{x}}{2 \, a}\right) - 6 \, {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b^{2} + 4 \, a c\right)} {\rm polylog}\left(3, \frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{x} - b e^{x}}{2 \, a}\right)}{6 \, {\left(a b^{2} - 4 \, a^{2} c\right)}}"," ",0,"1/6*(2*(b^2 - 4*a*c)*x^3 - 6*(a*b*x*sqrt((b^2 - 4*a*c)/a^2) + (b^2 - 4*a*c)*x)*dilog(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x + b*e^x + 2*a)/a + 1) + 6*(a*b*x*sqrt((b^2 - 4*a*c)/a^2) - (b^2 - 4*a*c)*x)*dilog(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x - b*e^x - 2*a)/a + 1) - 3*(a*b*x^2*sqrt((b^2 - 4*a*c)/a^2) + (b^2 - 4*a*c)*x^2)*log(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x + b*e^x + 2*a)/a) + 3*(a*b*x^2*sqrt((b^2 - 4*a*c)/a^2) - (b^2 - 4*a*c)*x^2)*log(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x - b*e^x - 2*a)/a) + 6*(a*b*sqrt((b^2 - 4*a*c)/a^2) + b^2 - 4*a*c)*polylog(3, -1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x + b*e^x)/a) - 6*(a*b*sqrt((b^2 - 4*a*c)/a^2) - b^2 + 4*a*c)*polylog(3, 1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^x - b*e^x)/a))/(a*b^2 - 4*a^2*c)","C",0
520,1,59,0,0.821090," ","integrate(1/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""fricas"")","\frac{d f^{d x + c} x \log\left(f\right) + d x \log\left(f\right) - {\left(f^{d x + c} + 1\right)} \log\left(f^{d x + c} + 1\right) + 1}{d f^{d x + c} \log\left(f\right) + d \log\left(f\right)}"," ",0,"(d*f^(d*x + c)*x*log(f) + d*x*log(f) - (f^(d*x + c) + 1)*log(f^(d*x + c) + 1) + 1)/(d*f^(d*x + c)*log(f) + d*log(f))","A",0
521,1,309,0,0.844930," ","integrate(1/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{2} - 4 \, a c\right)} d x \log\left(f\right) + \sqrt{b^{2} - 4 \, a c} b \log\left(\frac{2 \, c^{2} f^{2 \, d x + 2 \, c} + b^{2} - 2 \, a c + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} f^{d x + c} + \sqrt{b^{2} - 4 \, a c} b}{c f^{2 \, d x + 2 \, c} + b f^{d x + c} + a}\right) - {\left(b^{2} - 4 \, a c\right)} \log\left(c f^{2 \, d x + 2 \, c} + b f^{d x + c} + a\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} d \log\left(f\right)}, \frac{2 \, {\left(b^{2} - 4 \, a c\right)} d x \log\left(f\right) + 2 \, \sqrt{-b^{2} + 4 \, a c} b \arctan\left(-\frac{2 \, \sqrt{-b^{2} + 4 \, a c} c f^{d x + c} + \sqrt{-b^{2} + 4 \, a c} b}{b^{2} - 4 \, a c}\right) - {\left(b^{2} - 4 \, a c\right)} \log\left(c f^{2 \, d x + 2 \, c} + b f^{d x + c} + a\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} d \log\left(f\right)}\right]"," ",0,"[1/2*(2*(b^2 - 4*a*c)*d*x*log(f) + sqrt(b^2 - 4*a*c)*b*log((2*c^2*f^(2*d*x + 2*c) + b^2 - 2*a*c + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*f^(d*x + c) + sqrt(b^2 - 4*a*c)*b)/(c*f^(2*d*x + 2*c) + b*f^(d*x + c) + a)) - (b^2 - 4*a*c)*log(c*f^(2*d*x + 2*c) + b*f^(d*x + c) + a))/((a*b^2 - 4*a^2*c)*d*log(f)), 1/2*(2*(b^2 - 4*a*c)*d*x*log(f) + 2*sqrt(-b^2 + 4*a*c)*b*arctan(-(2*sqrt(-b^2 + 4*a*c)*c*f^(d*x + c) + sqrt(-b^2 + 4*a*c)*b)/(b^2 - 4*a*c)) - (b^2 - 4*a*c)*log(c*f^(2*d*x + 2*c) + b*f^(d*x + c) + a))/((a*b^2 - 4*a^2*c)*d*log(f))]","A",0
522,1,309,0,0.849340," ","integrate(1/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{2} - 4 \, a c\right)} h x \log\left(f\right) + \sqrt{b^{2} - 4 \, a c} b \log\left(\frac{2 \, c^{2} f^{2 \, h x + 2 \, g} + b^{2} - 2 \, a c + 2 \, {\left(b c + \sqrt{b^{2} - 4 \, a c} c\right)} f^{h x + g} + \sqrt{b^{2} - 4 \, a c} b}{c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a}\right) - {\left(b^{2} - 4 \, a c\right)} \log\left(c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} h \log\left(f\right)}, \frac{2 \, {\left(b^{2} - 4 \, a c\right)} h x \log\left(f\right) + 2 \, \sqrt{-b^{2} + 4 \, a c} b \arctan\left(-\frac{2 \, \sqrt{-b^{2} + 4 \, a c} c f^{h x + g} + \sqrt{-b^{2} + 4 \, a c} b}{b^{2} - 4 \, a c}\right) - {\left(b^{2} - 4 \, a c\right)} \log\left(c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} h \log\left(f\right)}\right]"," ",0,"[1/2*(2*(b^2 - 4*a*c)*h*x*log(f) + sqrt(b^2 - 4*a*c)*b*log((2*c^2*f^(2*h*x + 2*g) + b^2 - 2*a*c + 2*(b*c + sqrt(b^2 - 4*a*c)*c)*f^(h*x + g) + sqrt(b^2 - 4*a*c)*b)/(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a)) - (b^2 - 4*a*c)*log(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a))/((a*b^2 - 4*a^2*c)*h*log(f)), 1/2*(2*(b^2 - 4*a*c)*h*x*log(f) + 2*sqrt(-b^2 + 4*a*c)*b*arctan(-(2*sqrt(-b^2 + 4*a*c)*c*f^(h*x + g) + sqrt(-b^2 + 4*a*c)*b)/(b^2 - 4*a*c)) - (b^2 - 4*a*c)*log(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a))/((a*b^2 - 4*a^2*c)*h*log(f))]","A",0
523,1,143,0,0.491889," ","integrate(x/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""fricas"")","\frac{{\left(d^{2} x^{2} - c^{2}\right)} \log\left(f\right)^{2} + {\left({\left(d^{2} x^{2} - c^{2}\right)} \log\left(f\right)^{2} - 2 \, {\left(d x + c\right)} \log\left(f\right)\right)} f^{d x + c} - 2 \, {\left(f^{d x + c} + 1\right)} {\rm Li}_2\left(-f^{d x + c}\right) - 2 \, {\left(d x \log\left(f\right) + {\left(d x \log\left(f\right) - 1\right)} f^{d x + c} - 1\right)} \log\left(f^{d x + c} + 1\right) - 2 \, c \log\left(f\right)}{2 \, {\left(d^{2} f^{d x + c} \log\left(f\right)^{2} + d^{2} \log\left(f\right)^{2}\right)}}"," ",0,"1/2*((d^2*x^2 - c^2)*log(f)^2 + ((d^2*x^2 - c^2)*log(f)^2 - 2*(d*x + c)*log(f))*f^(d*x + c) - 2*(f^(d*x + c) + 1)*dilog(-f^(d*x + c)) - 2*(d*x*log(f) + (d*x*log(f) - 1)*f^(d*x + c) - 1)*log(f^(d*x + c) + 1) - 2*c*log(f))/(d^2*f^(d*x + c)*log(f)^2 + d^2*log(f)^2)","A",0
524,1,497,0,0.697405," ","integrate(x/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""fricas"")","\frac{{\left(b^{2} - 4 \, a c\right)} d^{2} x^{2} \log\left(f\right)^{2} - {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b^{2} - 4 \, a c\right)} {\rm Li}_2\left(-\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right)} f^{d x + c} + 2 \, a}{2 \, a} + 1\right) + {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b^{2} + 4 \, a c\right)} {\rm Li}_2\left(\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b\right)} f^{d x + c} - 2 \, a}{2 \, a} + 1\right) - {\left(a b c \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right) - {\left(b^{2} c - 4 \, a c^{2}\right)} \log\left(f\right)\right)} \log\left(2 \, c f^{d x + c} + a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) + {\left(a b c \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right) + {\left(b^{2} c - 4 \, a c^{2}\right)} \log\left(f\right)\right)} \log\left(2 \, c f^{d x + c} - a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) - {\left({\left(a b d x + a b c\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right) + {\left(b^{2} c - 4 \, a c^{2} + {\left(b^{2} - 4 \, a c\right)} d x\right)} \log\left(f\right)\right)} \log\left(\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right)} f^{d x + c} + 2 \, a}{2 \, a}\right) + {\left({\left(a b d x + a b c\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right) - {\left(b^{2} c - 4 \, a c^{2} + {\left(b^{2} - 4 \, a c\right)} d x\right)} \log\left(f\right)\right)} \log\left(-\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b\right)} f^{d x + c} - 2 \, a}{2 \, a}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} d^{2} \log\left(f\right)^{2}}"," ",0,"1/2*((b^2 - 4*a*c)*d^2*x^2*log(f)^2 - (a*b*sqrt((b^2 - 4*a*c)/a^2) + b^2 - 4*a*c)*dilog(-1/2*((a*sqrt((b^2 - 4*a*c)/a^2) + b)*f^(d*x + c) + 2*a)/a + 1) + (a*b*sqrt((b^2 - 4*a*c)/a^2) - b^2 + 4*a*c)*dilog(1/2*((a*sqrt((b^2 - 4*a*c)/a^2) - b)*f^(d*x + c) - 2*a)/a + 1) - (a*b*c*sqrt((b^2 - 4*a*c)/a^2)*log(f) - (b^2*c - 4*a*c^2)*log(f))*log(2*c*f^(d*x + c) + a*sqrt((b^2 - 4*a*c)/a^2) + b) + (a*b*c*sqrt((b^2 - 4*a*c)/a^2)*log(f) + (b^2*c - 4*a*c^2)*log(f))*log(2*c*f^(d*x + c) - a*sqrt((b^2 - 4*a*c)/a^2) + b) - ((a*b*d*x + a*b*c)*sqrt((b^2 - 4*a*c)/a^2)*log(f) + (b^2*c - 4*a*c^2 + (b^2 - 4*a*c)*d*x)*log(f))*log(1/2*((a*sqrt((b^2 - 4*a*c)/a^2) + b)*f^(d*x + c) + 2*a)/a) + ((a*b*d*x + a*b*c)*sqrt((b^2 - 4*a*c)/a^2)*log(f) - (b^2*c - 4*a*c^2 + (b^2 - 4*a*c)*d*x)*log(f))*log(-1/2*((a*sqrt((b^2 - 4*a*c)/a^2) - b)*f^(d*x + c) - 2*a)/a))/((a*b^2 - 4*a^2*c)*d^2*log(f)^2)","A",0
525,1,210,0,0.631479," ","integrate(x^2/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x, algorithm=""fricas"")","\frac{3 \, c^{2} \log\left(f\right)^{2} + {\left(d^{3} x^{3} + c^{3}\right)} \log\left(f\right)^{3} + {\left({\left(d^{3} x^{3} + c^{3}\right)} \log\left(f\right)^{3} - 3 \, {\left(d^{2} x^{2} - c^{2}\right)} \log\left(f\right)^{2}\right)} f^{d x + c} - 6 \, {\left(d x \log\left(f\right) + {\left(d x \log\left(f\right) - 1\right)} f^{d x + c} - 1\right)} {\rm Li}_2\left(-f^{d x + c}\right) - 3 \, {\left(d^{2} x^{2} \log\left(f\right)^{2} - 2 \, d x \log\left(f\right) + {\left(d^{2} x^{2} \log\left(f\right)^{2} - 2 \, d x \log\left(f\right)\right)} f^{d x + c}\right)} \log\left(f^{d x + c} + 1\right) + 6 \, {\left(f^{d x + c} + 1\right)} {\rm polylog}\left(3, -f^{d x + c}\right)}{3 \, {\left(d^{3} f^{d x + c} \log\left(f\right)^{3} + d^{3} \log\left(f\right)^{3}\right)}}"," ",0,"1/3*(3*c^2*log(f)^2 + (d^3*x^3 + c^3)*log(f)^3 + ((d^3*x^3 + c^3)*log(f)^3 - 3*(d^2*x^2 - c^2)*log(f)^2)*f^(d*x + c) - 6*(d*x*log(f) + (d*x*log(f) - 1)*f^(d*x + c) - 1)*dilog(-f^(d*x + c)) - 3*(d^2*x^2*log(f)^2 - 2*d*x*log(f) + (d^2*x^2*log(f)^2 - 2*d*x*log(f))*f^(d*x + c))*log(f^(d*x + c) + 1) + 6*(f^(d*x + c) + 1)*polylog(3, -f^(d*x + c)))/(d^3*f^(d*x + c)*log(f)^3 + d^3*log(f)^3)","C",0
526,1,694,0,0.699683," ","integrate(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} - 4 \, a c\right)} d^{3} x^{3} \log\left(f\right)^{3} - 6 \, {\left(a b d x \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right) + {\left(b^{2} - 4 \, a c\right)} d x \log\left(f\right)\right)} {\rm Li}_2\left(-\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right)} f^{d x + c} + 2 \, a}{2 \, a} + 1\right) + 6 \, {\left(a b d x \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right) - {\left(b^{2} - 4 \, a c\right)} d x \log\left(f\right)\right)} {\rm Li}_2\left(\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b\right)} f^{d x + c} - 2 \, a}{2 \, a} + 1\right) + 3 \, {\left(a b c^{2} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right)^{2} - {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} \log\left(f\right)^{2}\right)} \log\left(2 \, c f^{d x + c} + a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) - 3 \, {\left(a b c^{2} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right)^{2} + {\left(b^{2} c^{2} - 4 \, a c^{3}\right)} \log\left(f\right)^{2}\right)} \log\left(2 \, c f^{d x + c} - a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) - 3 \, {\left({\left(a b d^{2} x^{2} - a b c^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right)^{2} + {\left({\left(b^{2} - 4 \, a c\right)} d^{2} x^{2} - b^{2} c^{2} + 4 \, a c^{3}\right)} \log\left(f\right)^{2}\right)} \log\left(\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right)} f^{d x + c} + 2 \, a}{2 \, a}\right) + 3 \, {\left({\left(a b d^{2} x^{2} - a b c^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} \log\left(f\right)^{2} - {\left({\left(b^{2} - 4 \, a c\right)} d^{2} x^{2} - b^{2} c^{2} + 4 \, a c^{3}\right)} \log\left(f\right)^{2}\right)} \log\left(-\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b\right)} f^{d x + c} - 2 \, a}{2 \, a}\right) + 6 \, {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b^{2} - 4 \, a c\right)} {\rm polylog}\left(3, -\frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right)} f^{d x + c}}{2 \, a}\right) - 6 \, {\left(a b \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b^{2} + 4 \, a c\right)} {\rm polylog}\left(3, \frac{{\left(a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} - b\right)} f^{d x + c}}{2 \, a}\right)}{6 \, {\left(a b^{2} - 4 \, a^{2} c\right)} d^{3} \log\left(f\right)^{3}}"," ",0,"1/6*(2*(b^2 - 4*a*c)*d^3*x^3*log(f)^3 - 6*(a*b*d*x*sqrt((b^2 - 4*a*c)/a^2)*log(f) + (b^2 - 4*a*c)*d*x*log(f))*dilog(-1/2*((a*sqrt((b^2 - 4*a*c)/a^2) + b)*f^(d*x + c) + 2*a)/a + 1) + 6*(a*b*d*x*sqrt((b^2 - 4*a*c)/a^2)*log(f) - (b^2 - 4*a*c)*d*x*log(f))*dilog(1/2*((a*sqrt((b^2 - 4*a*c)/a^2) - b)*f^(d*x + c) - 2*a)/a + 1) + 3*(a*b*c^2*sqrt((b^2 - 4*a*c)/a^2)*log(f)^2 - (b^2*c^2 - 4*a*c^3)*log(f)^2)*log(2*c*f^(d*x + c) + a*sqrt((b^2 - 4*a*c)/a^2) + b) - 3*(a*b*c^2*sqrt((b^2 - 4*a*c)/a^2)*log(f)^2 + (b^2*c^2 - 4*a*c^3)*log(f)^2)*log(2*c*f^(d*x + c) - a*sqrt((b^2 - 4*a*c)/a^2) + b) - 3*((a*b*d^2*x^2 - a*b*c^2)*sqrt((b^2 - 4*a*c)/a^2)*log(f)^2 + ((b^2 - 4*a*c)*d^2*x^2 - b^2*c^2 + 4*a*c^3)*log(f)^2)*log(1/2*((a*sqrt((b^2 - 4*a*c)/a^2) + b)*f^(d*x + c) + 2*a)/a) + 3*((a*b*d^2*x^2 - a*b*c^2)*sqrt((b^2 - 4*a*c)/a^2)*log(f)^2 - ((b^2 - 4*a*c)*d^2*x^2 - b^2*c^2 + 4*a*c^3)*log(f)^2)*log(-1/2*((a*sqrt((b^2 - 4*a*c)/a^2) - b)*f^(d*x + c) - 2*a)/a) + 6*(a*b*sqrt((b^2 - 4*a*c)/a^2) + b^2 - 4*a*c)*polylog(3, -1/2*(a*sqrt((b^2 - 4*a*c)/a^2) + b)*f^(d*x + c)/a) - 6*(a*b*sqrt((b^2 - 4*a*c)/a^2) - b^2 + 4*a*c)*polylog(3, 1/2*(a*sqrt((b^2 - 4*a*c)/a^2) - b)*f^(d*x + c)/a))/((a*b^2 - 4*a^2*c)*d^3*log(f)^3)","C",0
527,1,330,0,0.697615," ","integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{2} - 4 \, a c\right)} d h x \log\left(f\right) - {\left(b^{2} - 4 \, a c\right)} d \log\left(c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a\right) - \sqrt{b^{2} - 4 \, a c} {\left(b d - 2 \, a e\right)} \log\left(\frac{2 \, c^{2} f^{2 \, h x + 2 \, g} + b^{2} - 2 \, a c + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} f^{h x + g} - \sqrt{b^{2} - 4 \, a c} b}{c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} h \log\left(f\right)}, \frac{2 \, {\left(b^{2} - 4 \, a c\right)} d h x \log\left(f\right) - {\left(b^{2} - 4 \, a c\right)} d \log\left(c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a\right) + 2 \, \sqrt{-b^{2} + 4 \, a c} {\left(b d - 2 \, a e\right)} \arctan\left(-\frac{2 \, \sqrt{-b^{2} + 4 \, a c} c f^{h x + g} + \sqrt{-b^{2} + 4 \, a c} b}{b^{2} - 4 \, a c}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} h \log\left(f\right)}\right]"," ",0,"[1/2*(2*(b^2 - 4*a*c)*d*h*x*log(f) - (b^2 - 4*a*c)*d*log(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a) - sqrt(b^2 - 4*a*c)*(b*d - 2*a*e)*log((2*c^2*f^(2*h*x + 2*g) + b^2 - 2*a*c + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*f^(h*x + g) - sqrt(b^2 - 4*a*c)*b)/(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a)))/((a*b^2 - 4*a^2*c)*h*log(f)), 1/2*(2*(b^2 - 4*a*c)*d*h*x*log(f) - (b^2 - 4*a*c)*d*log(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a) + 2*sqrt(-b^2 + 4*a*c)*(b*d - 2*a*e)*arctan(-(2*sqrt(-b^2 + 4*a*c)*c*f^(h*x + g) + sqrt(-b^2 + 4*a*c)*b)/(b^2 - 4*a*c)))/((a*b^2 - 4*a^2*c)*h*log(f))]","A",0
528,1,330,0,0.792064," ","integrate((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{2} - 4 \, a c\right)} d h x \log\left(f\right) - {\left(b^{2} - 4 \, a c\right)} d \log\left(c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a\right) - \sqrt{b^{2} - 4 \, a c} {\left(b d - 2 \, a e\right)} \log\left(\frac{2 \, c^{2} f^{2 \, h x + 2 \, g} + b^{2} - 2 \, a c + 2 \, {\left(b c - \sqrt{b^{2} - 4 \, a c} c\right)} f^{h x + g} - \sqrt{b^{2} - 4 \, a c} b}{c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} h \log\left(f\right)}, \frac{2 \, {\left(b^{2} - 4 \, a c\right)} d h x \log\left(f\right) - {\left(b^{2} - 4 \, a c\right)} d \log\left(c f^{2 \, h x + 2 \, g} + b f^{h x + g} + a\right) + 2 \, \sqrt{-b^{2} + 4 \, a c} {\left(b d - 2 \, a e\right)} \arctan\left(-\frac{2 \, \sqrt{-b^{2} + 4 \, a c} c f^{h x + g} + \sqrt{-b^{2} + 4 \, a c} b}{b^{2} - 4 \, a c}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} h \log\left(f\right)}\right]"," ",0,"[1/2*(2*(b^2 - 4*a*c)*d*h*x*log(f) - (b^2 - 4*a*c)*d*log(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a) - sqrt(b^2 - 4*a*c)*(b*d - 2*a*e)*log((2*c^2*f^(2*h*x + 2*g) + b^2 - 2*a*c + 2*(b*c - sqrt(b^2 - 4*a*c)*c)*f^(h*x + g) - sqrt(b^2 - 4*a*c)*b)/(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a)))/((a*b^2 - 4*a^2*c)*h*log(f)), 1/2*(2*(b^2 - 4*a*c)*d*h*x*log(f) - (b^2 - 4*a*c)*d*log(c*f^(2*h*x + 2*g) + b*f^(h*x + g) + a) + 2*sqrt(-b^2 + 4*a*c)*(b*d - 2*a*e)*arctan(-(2*sqrt(-b^2 + 4*a*c)*c*f^(h*x + g) + sqrt(-b^2 + 4*a*c)*b)/(b^2 - 4*a*c)))/((a*b^2 - 4*a^2*c)*h*log(f))]","A",0
529,1,8,0,0.590180," ","integrate(1/(2+exp(-x)+exp(x)),x, algorithm=""fricas"")","-\frac{1}{e^{x} + 1}"," ",0,"-1/(e^x + 1)","A",0
530,1,23,0,0.855005," ","integrate(x/(2+exp(-x)+exp(x)),x, algorithm=""fricas"")","\frac{x e^{x} - {\left(e^{x} + 1\right)} \log\left(e^{x} + 1\right)}{e^{x} + 1}"," ",0,"(x*e^x - (e^x + 1)*log(e^x + 1))/(e^x + 1)","A",0
531,1,38,0,0.791234," ","integrate(x^2/(2+exp(-x)+exp(x)),x, algorithm=""fricas"")","\frac{x^{2} e^{x} - 2 \, {\left(e^{x} + 1\right)} {\rm Li}_2\left(-e^{x}\right) - 2 \, {\left(x e^{x} + x\right)} \log\left(e^{x} + 1\right)}{e^{x} + 1}"," ",0,"(x^2*e^x - 2*(e^x + 1)*dilog(-e^x) - 2*(x*e^x + x)*log(e^x + 1))/(e^x + 1)","A",0
532,1,20,0,0.979372," ","integrate(1/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""fricas"")","-\frac{1}{d f^{d x + c} \log\left(f\right) + d \log\left(f\right)}"," ",0,"-1/(d*f^(d*x + c)*log(f) + d*log(f))","A",0
533,1,61,0,0.647225," ","integrate(x/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""fricas"")","\frac{d f^{d x + c} x \log\left(f\right) - {\left(f^{d x + c} + 1\right)} \log\left(f^{d x + c} + 1\right)}{d^{2} f^{d x + c} \log\left(f\right)^{2} + d^{2} \log\left(f\right)^{2}}"," ",0,"(d*f^(d*x + c)*x*log(f) - (f^(d*x + c) + 1)*log(f^(d*x + c) + 1))/(d^2*f^(d*x + c)*log(f)^2 + d^2*log(f)^2)","A",0
534,1,114,0,0.589918," ","integrate(x^2/(2+f^(-d*x-c)+f^(d*x+c)),x, algorithm=""fricas"")","-\frac{c^{2} \log\left(f\right)^{2} - {\left(d^{2} x^{2} - c^{2}\right)} f^{d x + c} \log\left(f\right)^{2} + 2 \, {\left(f^{d x + c} + 1\right)} {\rm Li}_2\left(-f^{d x + c}\right) + 2 \, {\left(d f^{d x + c} x \log\left(f\right) + d x \log\left(f\right)\right)} \log\left(f^{d x + c} + 1\right)}{d^{3} f^{d x + c} \log\left(f\right)^{3} + d^{3} \log\left(f\right)^{3}}"," ",0,"-(c^2*log(f)^2 - (d^2*x^2 - c^2)*f^(d*x + c)*log(f)^2 + 2*(f^(d*x + c) + 1)*dilog(-f^(d*x + c)) + 2*(d*f^(d*x + c)*x*log(f) + d*x*log(f))*log(f^(d*x + c) + 1))/(d^3*f^(d*x + c)*log(f)^3 + d^3*log(f)^3)","A",0
535,1,13,0,0.600507," ","integrate(1/(2+1/(3^x)+3^x),x, algorithm=""fricas"")","-\frac{1}{3^{x} \log\left(3\right) + \log\left(3\right)}"," ",0,"-1/(3^x*log(3) + log(3))","A",0
536,1,17,0,0.563221," ","integrate(1/(1-1/exp(x)+2*exp(x)),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(2 \, e^{x} - 1\right) - \frac{1}{3} \, \log\left(e^{x} + 1\right)"," ",0,"1/3*log(2*e^x - 1) - 1/3*log(e^x + 1)","A",0
537,1,126,0,0.740645," ","integrate(1/(a+b/exp(x)+c*exp(x)),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, c^{2} e^{\left(2 \, x\right)} + 2 \, a c e^{x} + a^{2} - 2 \, b c - \sqrt{a^{2} - 4 \, b c} {\left(2 \, c e^{x} + a\right)}}{c e^{\left(2 \, x\right)} + a e^{x} + b}\right)}{\sqrt{a^{2} - 4 \, b c}}, -\frac{2 \, \sqrt{-a^{2} + 4 \, b c} \arctan\left(-\frac{\sqrt{-a^{2} + 4 \, b c} {\left(2 \, c e^{x} + a\right)}}{a^{2} - 4 \, b c}\right)}{a^{2} - 4 \, b c}\right]"," ",0,"[log((2*c^2*e^(2*x) + 2*a*c*e^x + a^2 - 2*b*c - sqrt(a^2 - 4*b*c)*(2*c*e^x + a))/(c*e^(2*x) + a*e^x + b))/sqrt(a^2 - 4*b*c), -2*sqrt(-a^2 + 4*b*c)*arctan(-sqrt(-a^2 + 4*b*c)*(2*c*e^x + a)/(a^2 - 4*b*c))/(a^2 - 4*b*c)]","A",0
538,1,214,0,0.657362," ","integrate(x/(a+b/exp(x)+c*exp(x)),x, algorithm=""fricas"")","\frac{b x \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} + a e^{x} + 2 \, b}{2 \, b}\right) - b x \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(-\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} - a e^{x} - 2 \, b}{2 \, b}\right) + b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(-\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} + a e^{x} + 2 \, b}{2 \, b} + 1\right) - b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} - a e^{x} - 2 \, b}{2 \, b} + 1\right)}{a^{2} - 4 \, b c}"," ",0,"(b*x*sqrt((a^2 - 4*b*c)/b^2)*log(1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x + a*e^x + 2*b)/b) - b*x*sqrt((a^2 - 4*b*c)/b^2)*log(-1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x - a*e^x - 2*b)/b) + b*sqrt((a^2 - 4*b*c)/b^2)*dilog(-1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x + a*e^x + 2*b)/b + 1) - b*sqrt((a^2 - 4*b*c)/b^2)*dilog(1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x - a*e^x - 2*b)/b + 1))/(a^2 - 4*b*c)","A",0
539,1,316,0,0.715146," ","integrate(x^2/(a+b/exp(x)+c*exp(x)),x, algorithm=""fricas"")","\frac{b x^{2} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} + a e^{x} + 2 \, b}{2 \, b}\right) - b x^{2} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(-\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} - a e^{x} - 2 \, b}{2 \, b}\right) + 2 \, b x \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(-\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} + a e^{x} + 2 \, b}{2 \, b} + 1\right) - 2 \, b x \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} - a e^{x} - 2 \, b}{2 \, b} + 1\right) - 2 \, b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm polylog}\left(3, -\frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} + a e^{x}}{2 \, b}\right) + 2 \, b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm polylog}\left(3, \frac{b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} e^{x} - a e^{x}}{2 \, b}\right)}{a^{2} - 4 \, b c}"," ",0,"(b*x^2*sqrt((a^2 - 4*b*c)/b^2)*log(1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x + a*e^x + 2*b)/b) - b*x^2*sqrt((a^2 - 4*b*c)/b^2)*log(-1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x - a*e^x - 2*b)/b) + 2*b*x*sqrt((a^2 - 4*b*c)/b^2)*dilog(-1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x + a*e^x + 2*b)/b + 1) - 2*b*x*sqrt((a^2 - 4*b*c)/b^2)*dilog(1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x - a*e^x - 2*b)/b + 1) - 2*b*sqrt((a^2 - 4*b*c)/b^2)*polylog(3, -1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x + a*e^x)/b) + 2*b*sqrt((a^2 - 4*b*c)/b^2)*polylog(3, 1/2*(b*sqrt((a^2 - 4*b*c)/b^2)*e^x - a*e^x)/b))/(a^2 - 4*b*c)","C",0
540,1,189,0,0.636272," ","integrate(1/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{2 \, c^{2} f^{2 \, d x + 2 \, c} + a^{2} - 2 \, b c + 2 \, {\left(a c - \sqrt{a^{2} - 4 \, b c} c\right)} f^{d x + c} - \sqrt{a^{2} - 4 \, b c} a}{c f^{2 \, d x + 2 \, c} + a f^{d x + c} + b}\right)}{\sqrt{a^{2} - 4 \, b c} d \log\left(f\right)}, -\frac{2 \, \sqrt{-a^{2} + 4 \, b c} \arctan\left(-\frac{2 \, \sqrt{-a^{2} + 4 \, b c} c f^{d x + c} + \sqrt{-a^{2} + 4 \, b c} a}{a^{2} - 4 \, b c}\right)}{{\left(a^{2} - 4 \, b c\right)} d \log\left(f\right)}\right]"," ",0,"[log((2*c^2*f^(2*d*x + 2*c) + a^2 - 2*b*c + 2*(a*c - sqrt(a^2 - 4*b*c)*c)*f^(d*x + c) - sqrt(a^2 - 4*b*c)*a)/(c*f^(2*d*x + 2*c) + a*f^(d*x + c) + b))/(sqrt(a^2 - 4*b*c)*d*log(f)), -2*sqrt(-a^2 + 4*b*c)*arctan(-(2*sqrt(-a^2 + 4*b*c)*c*f^(d*x + c) + sqrt(-a^2 + 4*b*c)*a)/(a^2 - 4*b*c))/((a^2 - 4*b*c)*d*log(f))]","A",0
541,1,353,0,0.714662," ","integrate(x/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""fricas"")","\frac{b c \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(2 \, c f^{d x + c} + b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right) \log\left(f\right) - b c \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(2 \, c f^{d x + c} - b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right) \log\left(f\right) + {\left(b d x + b c\right)} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(f\right) \log\left(\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right)} f^{d x + c} + 2 \, b}{2 \, b}\right) - {\left(b d x + b c\right)} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(f\right) \log\left(-\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} - a\right)} f^{d x + c} - 2 \, b}{2 \, b}\right) + b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right)} f^{d x + c} + 2 \, b}{2 \, b} + 1\right) - b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} - a\right)} f^{d x + c} - 2 \, b}{2 \, b} + 1\right)}{{\left(a^{2} - 4 \, b c\right)} d^{2} \log\left(f\right)^{2}}"," ",0,"(b*c*sqrt((a^2 - 4*b*c)/b^2)*log(2*c*f^(d*x + c) + b*sqrt((a^2 - 4*b*c)/b^2) + a)*log(f) - b*c*sqrt((a^2 - 4*b*c)/b^2)*log(2*c*f^(d*x + c) - b*sqrt((a^2 - 4*b*c)/b^2) + a)*log(f) + (b*d*x + b*c)*sqrt((a^2 - 4*b*c)/b^2)*log(f)*log(1/2*((b*sqrt((a^2 - 4*b*c)/b^2) + a)*f^(d*x + c) + 2*b)/b) - (b*d*x + b*c)*sqrt((a^2 - 4*b*c)/b^2)*log(f)*log(-1/2*((b*sqrt((a^2 - 4*b*c)/b^2) - a)*f^(d*x + c) - 2*b)/b) + b*sqrt((a^2 - 4*b*c)/b^2)*dilog(-1/2*((b*sqrt((a^2 - 4*b*c)/b^2) + a)*f^(d*x + c) + 2*b)/b + 1) - b*sqrt((a^2 - 4*b*c)/b^2)*dilog(1/2*((b*sqrt((a^2 - 4*b*c)/b^2) - a)*f^(d*x + c) - 2*b)/b + 1))/((a^2 - 4*b*c)*d^2*log(f)^2)","A",0
542,1,489,0,0.643416," ","integrate(x^2/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x, algorithm=""fricas"")","-\frac{b c^{2} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(2 \, c f^{d x + c} + b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right) \log\left(f\right)^{2} - b c^{2} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(2 \, c f^{d x + c} - b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right) \log\left(f\right)^{2} - 2 \, b d x \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(-\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right)} f^{d x + c} + 2 \, b}{2 \, b} + 1\right) \log\left(f\right) + 2 \, b d x \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm Li}_2\left(\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} - a\right)} f^{d x + c} - 2 \, b}{2 \, b} + 1\right) \log\left(f\right) - {\left(b d^{2} x^{2} - b c^{2}\right)} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(f\right)^{2} \log\left(\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right)} f^{d x + c} + 2 \, b}{2 \, b}\right) + {\left(b d^{2} x^{2} - b c^{2}\right)} \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} \log\left(f\right)^{2} \log\left(-\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} - a\right)} f^{d x + c} - 2 \, b}{2 \, b}\right) + 2 \, b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm polylog}\left(3, -\frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} + a\right)} f^{d x + c}}{2 \, b}\right) - 2 \, b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} {\rm polylog}\left(3, \frac{{\left(b \sqrt{\frac{a^{2} - 4 \, b c}{b^{2}}} - a\right)} f^{d x + c}}{2 \, b}\right)}{{\left(a^{2} - 4 \, b c\right)} d^{3} \log\left(f\right)^{3}}"," ",0,"-(b*c^2*sqrt((a^2 - 4*b*c)/b^2)*log(2*c*f^(d*x + c) + b*sqrt((a^2 - 4*b*c)/b^2) + a)*log(f)^2 - b*c^2*sqrt((a^2 - 4*b*c)/b^2)*log(2*c*f^(d*x + c) - b*sqrt((a^2 - 4*b*c)/b^2) + a)*log(f)^2 - 2*b*d*x*sqrt((a^2 - 4*b*c)/b^2)*dilog(-1/2*((b*sqrt((a^2 - 4*b*c)/b^2) + a)*f^(d*x + c) + 2*b)/b + 1)*log(f) + 2*b*d*x*sqrt((a^2 - 4*b*c)/b^2)*dilog(1/2*((b*sqrt((a^2 - 4*b*c)/b^2) - a)*f^(d*x + c) - 2*b)/b + 1)*log(f) - (b*d^2*x^2 - b*c^2)*sqrt((a^2 - 4*b*c)/b^2)*log(f)^2*log(1/2*((b*sqrt((a^2 - 4*b*c)/b^2) + a)*f^(d*x + c) + 2*b)/b) + (b*d^2*x^2 - b*c^2)*sqrt((a^2 - 4*b*c)/b^2)*log(f)^2*log(-1/2*((b*sqrt((a^2 - 4*b*c)/b^2) - a)*f^(d*x + c) - 2*b)/b) + 2*b*sqrt((a^2 - 4*b*c)/b^2)*polylog(3, -1/2*(b*sqrt((a^2 - 4*b*c)/b^2) + a)*f^(d*x + c)/b) - 2*b*sqrt((a^2 - 4*b*c)/b^2)*polylog(3, 1/2*(b*sqrt((a^2 - 4*b*c)/b^2) - a)*f^(d*x + c)/b))/((a^2 - 4*b*c)*d^3*log(f)^3)","C",0
543,-2,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^n/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   alglogextint: unimplemented","F(-2)",0
544,-1,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^3/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
545,-1,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^2/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""fricas"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
546,0,0,0,123.213238," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} b + a}{e g x^{2} + d f + {\left(e f + d g\right)} x}, x\right)"," ",0,"integral((F^(sqrt(e*x + d)*c/sqrt(g*x + f))*b + a)/(e*g*x^2 + d*f + (e*f + d*g)*x), x)","F",0
547,1,26,0,0.463834," ","integrate(1/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""fricas"")","\frac{\log\left(e x + d\right) - \log\left(g x + f\right)}{e f - d g}"," ",0,"(log(e*x + d) - log(g*x + f))/(e*f - d*g)","A",0
548,0,0,0,0.478320," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a e g x^{2} + a d f + {\left(b e g x^{2} + b d f + {\left(b e f + b d g\right)} x\right)} F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} + {\left(a e f + a d g\right)} x}, x\right)"," ",0,"integral(1/(a*e*g*x^2 + a*d*f + (b*e*g*x^2 + b*d*f + (b*e*f + b*d*g)*x)*F^(sqrt(e*x + d)*c/sqrt(g*x + f)) + (a*e*f + a*d*g)*x), x)","F",0
549,0,0,0,13.888479," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(g*x+f)^(1/2)))^2/(d*f+(d*g+e*f)*x+e*g*x^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{a^{2} e g x^{2} + a^{2} d f + {\left(b^{2} e g x^{2} + b^{2} d f + {\left(b^{2} e f + b^{2} d g\right)} x\right)} F^{\frac{2 \, \sqrt{e x + d} c}{\sqrt{g x + f}}} + 2 \, {\left(a b e g x^{2} + a b d f + {\left(a b e f + a b d g\right)} x\right)} F^{\frac{\sqrt{e x + d} c}{\sqrt{g x + f}}} + {\left(a^{2} e f + a^{2} d g\right)} x}, x\right)"," ",0,"integral(1/(a^2*e*g*x^2 + a^2*d*f + (b^2*e*g*x^2 + b^2*d*f + (b^2*e*f + b^2*d*g)*x)*F^(2*sqrt(e*x + d)*c/sqrt(g*x + f)) + 2*(a*b*e*g*x^2 + a*b*d*f + (a*b*e*f + a*b*d*g)*x)*F^(sqrt(e*x + d)*c/sqrt(g*x + f)) + (a^2*e*f + a^2*d*g)*x), x)","F",0
550,-2,0,0,0.000000," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^n/(-e^2*x^2+d^2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   alglogextint: unimplemented","F(-2)",0
551,0,0,0,5.627526," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^3/(-e^2*x^2+d^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a^{3} + \frac{3 \, a^{2} b}{F^{\frac{\sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}} + \frac{3 \, a b^{2}}{F^{\frac{2 \, \sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}} + \frac{b^{3}}{F^{\frac{3 \, \sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}}}{e^{2} x^{2} - d^{2}}, x\right)"," ",0,"integral(-(a^3 + 3*a^2*b/F^(sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f)) + 3*a*b^2/F^(2*sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f)) + b^3/F^(3*sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f)))/(e^2*x^2 - d^2), x)","F",0
552,0,0,0,3.875275," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^2/(-e^2*x^2+d^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a^{2} + \frac{2 \, a b}{F^{\frac{\sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}} + \frac{b^{2}}{F^{\frac{2 \, \sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}}}{e^{2} x^{2} - d^{2}}, x\right)"," ",0,"integral(-(a^2 + 2*a*b/F^(sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f)) + b^2/F^(2*sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f)))/(e^2*x^2 - d^2), x)","F",0
553,0,0,0,2.199585," ","integrate((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))/(-e^2*x^2+d^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{a + \frac{b}{F^{\frac{\sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}}}{e^{2} x^{2} - d^{2}}, x\right)"," ",0,"integral(-(a + b/F^(sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f)))/(e^2*x^2 - d^2), x)","F",0
554,1,25,0,0.421466," ","integrate(1/(-e^2*x^2+d^2),x, algorithm=""fricas"")","\frac{\log\left(e x + d\right) - \log\left(e x - d\right)}{2 \, d e}"," ",0,"1/2*(log(e*x + d) - log(e*x - d))/(d*e)","A",0
555,0,0,0,0.480494," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))/(-e^2*x^2+d^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a e^{2} x^{2} - a d^{2} + \frac{b e^{2} x^{2} - b d^{2}}{F^{\frac{\sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}}}, x\right)"," ",0,"integral(-1/(a*e^2*x^2 - a*d^2 + (b*e^2*x^2 - b*d^2)/F^(sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f))), x)","F",0
556,0,0,0,3.868520," ","integrate(1/(a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^2/(-e^2*x^2+d^2),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{a^{2} e^{2} x^{2} - a^{2} d^{2} + \frac{2 \, {\left(a b e^{2} x^{2} - a b d^{2}\right)}}{F^{\frac{\sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}} + \frac{b^{2} e^{2} x^{2} - b^{2} d^{2}}{F^{\frac{2 \, \sqrt{-e f x + d f} \sqrt{e x + d} c}{e f x - d f}}}}, x\right)"," ",0,"integral(-1/(a^2*e^2*x^2 - a^2*d^2 + 2*(a*b*e^2*x^2 - a*b*d^2)/F^(sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f)) + (b^2*e^2*x^2 - b^2*d^2)/F^(2*sqrt(-e*f*x + d*f)*sqrt(e*x + d)*c/(e*f*x - d*f))), x)","F",0
557,1,25,0,0.788993," ","integrate((F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))^n/(-a^2*x^2+1),x, algorithm=""fricas"")","-\frac{{\rm Ei}\left(\frac{\sqrt{-a x + 1} n \log\left(F\right)}{\sqrt{a x + 1}}\right)}{a}"," ",0,"-Ei(sqrt(-a*x + 1)*n*log(F)/sqrt(a*x + 1))/a","A",0
558,1,25,0,0.709255," ","integrate(F^(3*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""fricas"")","-\frac{{\rm Ei}\left(\frac{3 \, \sqrt{-a x + 1} \log\left(F\right)}{\sqrt{a x + 1}}\right)}{a}"," ",0,"-Ei(3*sqrt(-a*x + 1)*log(F)/sqrt(a*x + 1))/a","A",0
559,1,25,0,0.671215," ","integrate(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""fricas"")","-\frac{{\rm Ei}\left(\frac{2 \, \sqrt{-a x + 1} \log\left(F\right)}{\sqrt{a x + 1}}\right)}{a}"," ",0,"-Ei(2*sqrt(-a*x + 1)*log(F)/sqrt(a*x + 1))/a","A",0
560,1,24,0,0.770605," ","integrate(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x, algorithm=""fricas"")","-\frac{{\rm Ei}\left(\frac{\sqrt{-a x + 1} \log\left(F\right)}{\sqrt{a x + 1}}\right)}{a}"," ",0,"-Ei(sqrt(-a*x + 1)*log(F)/sqrt(a*x + 1))/a","A",0
561,0,0,0,0.677247," ","integrate(1/(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} x^{2} - 1\right)} F^{\frac{\sqrt{-a x + 1}}{\sqrt{a x + 1}}}}, x\right)"," ",0,"integral(-1/((a^2*x^2 - 1)*F^(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
562,0,0,0,0.680151," ","integrate(1/(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x, algorithm=""fricas"")","{\rm integral}\left(-\frac{1}{{\left(a^{2} x^{2} - 1\right)} F^{\frac{2 \, \sqrt{-a x + 1}}{\sqrt{a x + 1}}}}, x\right)"," ",0,"integral(-1/((a^2*x^2 - 1)*F^(2*sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
563,1,71,0,0.729907," ","integrate(a^x*b^x*x^2,x, algorithm=""fricas"")","\frac{{\left(x^{2} \log\left(a\right)^{2} + x^{2} \log\left(b\right)^{2} - 2 \, x \log\left(a\right) + 2 \, {\left(x^{2} \log\left(a\right) - x\right)} \log\left(b\right) + 2\right)} a^{x} b^{x}}{\log\left(a\right)^{3} + 3 \, \log\left(a\right)^{2} \log\left(b\right) + 3 \, \log\left(a\right) \log\left(b\right)^{2} + \log\left(b\right)^{3}}"," ",0,"(x^2*log(a)^2 + x^2*log(b)^2 - 2*x*log(a) + 2*(x^2*log(a) - x)*log(b) + 2)*a^x*b^x/(log(a)^3 + 3*log(a)^2*log(b) + 3*log(a)*log(b)^2 + log(b)^3)","A",0
564,1,34,0,0.494732," ","integrate(a^x*b^x*x,x, algorithm=""fricas"")","\frac{{\left(x \log\left(a\right) + x \log\left(b\right) - 1\right)} a^{x} b^{x}}{\log\left(a\right)^{2} + 2 \, \log\left(a\right) \log\left(b\right) + \log\left(b\right)^{2}}"," ",0,"(x*log(a) + x*log(b) - 1)*a^x*b^x/(log(a)^2 + 2*log(a)*log(b) + log(b)^2)","A",0
565,1,14,0,0.455189," ","integrate(a^x*b^x,x, algorithm=""fricas"")","\frac{a^{x} b^{x}}{\log\left(a\right) + \log\left(b\right)}"," ",0,"a^x*b^x/(log(a) + log(b))","A",0
566,1,10,0,0.483362," ","integrate(a^x*b^x/x,x, algorithm=""fricas"")","{\rm Ei}\left(x \log\left(a\right) + x \log\left(b\right)\right)"," ",0,"Ei(x*log(a) + x*log(b))","A",0
567,1,34,0,0.443660," ","integrate(a^x*b^x/x^2,x, algorithm=""fricas"")","-\frac{a^{x} b^{x} - {\left(x \log\left(a\right) + x \log\left(b\right)\right)} {\rm Ei}\left(x \log\left(a\right) + x \log\left(b\right)\right)}{x}"," ",0,"-(a^x*b^x - (x*log(a) + x*log(b))*Ei(x*log(a) + x*log(b)))/x","A",0
568,1,61,0,0.458120," ","integrate(a^x*b^x/x^3,x, algorithm=""fricas"")","-\frac{{\left(x \log\left(a\right) + x \log\left(b\right) + 1\right)} a^{x} b^{x} - {\left(x^{2} \log\left(a\right)^{2} + 2 \, x^{2} \log\left(a\right) \log\left(b\right) + x^{2} \log\left(b\right)^{2}\right)} {\rm Ei}\left(x \log\left(a\right) + x \log\left(b\right)\right)}{2 \, x^{2}}"," ",0,"-1/2*((x*log(a) + x*log(b) + 1)*a^x*b^x - (x^2*log(a)^2 + 2*x^2*log(a)*log(b) + x^2*log(b)^2)*Ei(x*log(a) + x*log(b)))/x^2","A",0
569,1,19,0,0.465732," ","integrate(a^x*b^x*c^x,x, algorithm=""fricas"")","\frac{a^{x} b^{x} c^{x}}{\log\left(a\right) + \log\left(b\right) + \log\left(c\right)}"," ",0,"a^x*b^x*c^x/(log(a) + log(b) + log(c))","A",0
570,1,18,0,0.507271," ","integrate(a^x/(b^x),x, algorithm=""fricas"")","\frac{a^{x}}{b^{x} {\left(\log\left(a\right) - \log\left(b\right)\right)}}"," ",0,"a^x/(b^x*(log(a) - log(b)))","A",0
571,1,75,0,0.473368," ","integrate(a^x*x^2/(b^x),x, algorithm=""fricas"")","\frac{{\left(x^{2} \log\left(a\right)^{2} + x^{2} \log\left(b\right)^{2} - 2 \, x \log\left(a\right) - 2 \, {\left(x^{2} \log\left(a\right) - x\right)} \log\left(b\right) + 2\right)} a^{x}}{{\left(\log\left(a\right)^{3} - 3 \, \log\left(a\right)^{2} \log\left(b\right) + 3 \, \log\left(a\right) \log\left(b\right)^{2} - \log\left(b\right)^{3}\right)} b^{x}}"," ",0,"(x^2*log(a)^2 + x^2*log(b)^2 - 2*x*log(a) - 2*(x^2*log(a) - x)*log(b) + 2)*a^x/((log(a)^3 - 3*log(a)^2*log(b) + 3*log(a)*log(b)^2 - log(b)^3)*b^x)","A",0
572,1,1859,0,0.579883," ","integrate((d+e*exp(i*x+h))*(g*x+f)^3/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""fricas"")","\frac{{\left(b^{2} - 4 \, a c\right)} d g^{3} i^{4} x^{4} + 4 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} i^{4} x^{3} + 6 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} g i^{4} x^{2} + 4 \, {\left(b^{2} - 4 \, a c\right)} d f^{3} i^{4} x - 6 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} i^{2} x^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} i^{2} x + {\left(b^{2} - 4 \, a c\right)} d f^{2} g i^{2} + {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} i^{2} x^{2} + 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} i^{2} x + {\left(a b d - 2 \, a^{2} e\right)} f^{2} g i^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm Li}_2\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)} + 2 \, a}{2 \, a} + 1\right) - 6 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} i^{2} x^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} i^{2} x + {\left(b^{2} - 4 \, a c\right)} d f^{2} g i^{2} - {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} i^{2} x^{2} + 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} i^{2} x + {\left(a b d - 2 \, a^{2} e\right)} f^{2} g i^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm Li}_2\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)} - 2 \, a}{2 \, a} + 1\right) + 2 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} h^{3} - 3 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} h^{2} i + 3 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} g h i^{2} - {\left(b^{2} - 4 \, a c\right)} d f^{3} i^{3} - {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} h^{3} - 3 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} h^{2} i + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f^{2} g h i^{2} - {\left(a b d - 2 \, a^{2} e\right)} f^{3} i^{3}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(2 \, c e^{\left(i x + h\right)} + a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) + 2 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} h^{3} - 3 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} h^{2} i + 3 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} g h i^{2} - {\left(b^{2} - 4 \, a c\right)} d f^{3} i^{3} + {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} h^{3} - 3 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} h^{2} i + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f^{2} g h i^{2} - {\left(a b d - 2 \, a^{2} e\right)} f^{3} i^{3}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(2 \, c e^{\left(i x + h\right)} - a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) - 2 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} i^{3} x^{3} + 3 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} i^{3} x^{2} + 3 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} g i^{3} x + {\left(b^{2} - 4 \, a c\right)} d g^{3} h^{3} - 3 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} h^{2} i + 3 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} g h i^{2} + {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} i^{3} x^{3} + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} i^{3} x^{2} + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f^{2} g i^{3} x + {\left(a b d - 2 \, a^{2} e\right)} g^{3} h^{3} - 3 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} h^{2} i + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f^{2} g h i^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)} + 2 \, a}{2 \, a}\right) - 2 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} i^{3} x^{3} + 3 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} i^{3} x^{2} + 3 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} g i^{3} x + {\left(b^{2} - 4 \, a c\right)} d g^{3} h^{3} - 3 \, {\left(b^{2} - 4 \, a c\right)} d f g^{2} h^{2} i + 3 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} g h i^{2} - {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} i^{3} x^{3} + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} i^{3} x^{2} + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f^{2} g i^{3} x + {\left(a b d - 2 \, a^{2} e\right)} g^{3} h^{3} - 3 \, {\left(a b d - 2 \, a^{2} e\right)} f g^{2} h^{2} i + 3 \, {\left(a b d - 2 \, a^{2} e\right)} f^{2} g h i^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)} - 2 \, a}{2 \, a}\right) - 12 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} + {\left(a b d - 2 \, a^{2} e\right)} g^{3} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm polylog}\left(4, -\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)}}{2 \, a}\right) - 12 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} - {\left(a b d - 2 \, a^{2} e\right)} g^{3} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm polylog}\left(4, \frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)}}{2 \, a}\right) + 12 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} i x + {\left(b^{2} - 4 \, a c\right)} d f g^{2} i + {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} i x + {\left(a b d - 2 \, a^{2} e\right)} f g^{2} i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm polylog}\left(3, -\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)}}{2 \, a}\right) + 12 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{3} i x + {\left(b^{2} - 4 \, a c\right)} d f g^{2} i - {\left({\left(a b d - 2 \, a^{2} e\right)} g^{3} i x + {\left(a b d - 2 \, a^{2} e\right)} f g^{2} i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm polylog}\left(3, \frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)}}{2 \, a}\right)}{4 \, {\left(a b^{2} - 4 \, a^{2} c\right)} i^{4}}"," ",0,"1/4*((b^2 - 4*a*c)*d*g^3*i^4*x^4 + 4*(b^2 - 4*a*c)*d*f*g^2*i^4*x^3 + 6*(b^2 - 4*a*c)*d*f^2*g*i^4*x^2 + 4*(b^2 - 4*a*c)*d*f^3*i^4*x - 6*((b^2 - 4*a*c)*d*g^3*i^2*x^2 + 2*(b^2 - 4*a*c)*d*f*g^2*i^2*x + (b^2 - 4*a*c)*d*f^2*g*i^2 + ((a*b*d - 2*a^2*e)*g^3*i^2*x^2 + 2*(a*b*d - 2*a^2*e)*f*g^2*i^2*x + (a*b*d - 2*a^2*e)*f^2*g*i^2)*sqrt((b^2 - 4*a*c)/a^2))*dilog(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h) + 2*a)/a + 1) - 6*((b^2 - 4*a*c)*d*g^3*i^2*x^2 + 2*(b^2 - 4*a*c)*d*f*g^2*i^2*x + (b^2 - 4*a*c)*d*f^2*g*i^2 - ((a*b*d - 2*a^2*e)*g^3*i^2*x^2 + 2*(a*b*d - 2*a^2*e)*f*g^2*i^2*x + (a*b*d - 2*a^2*e)*f^2*g*i^2)*sqrt((b^2 - 4*a*c)/a^2))*dilog(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h) - 2*a)/a + 1) + 2*((b^2 - 4*a*c)*d*g^3*h^3 - 3*(b^2 - 4*a*c)*d*f*g^2*h^2*i + 3*(b^2 - 4*a*c)*d*f^2*g*h*i^2 - (b^2 - 4*a*c)*d*f^3*i^3 - ((a*b*d - 2*a^2*e)*g^3*h^3 - 3*(a*b*d - 2*a^2*e)*f*g^2*h^2*i + 3*(a*b*d - 2*a^2*e)*f^2*g*h*i^2 - (a*b*d - 2*a^2*e)*f^3*i^3)*sqrt((b^2 - 4*a*c)/a^2))*log(2*c*e^(i*x + h) + a*sqrt((b^2 - 4*a*c)/a^2) + b) + 2*((b^2 - 4*a*c)*d*g^3*h^3 - 3*(b^2 - 4*a*c)*d*f*g^2*h^2*i + 3*(b^2 - 4*a*c)*d*f^2*g*h*i^2 - (b^2 - 4*a*c)*d*f^3*i^3 + ((a*b*d - 2*a^2*e)*g^3*h^3 - 3*(a*b*d - 2*a^2*e)*f*g^2*h^2*i + 3*(a*b*d - 2*a^2*e)*f^2*g*h*i^2 - (a*b*d - 2*a^2*e)*f^3*i^3)*sqrt((b^2 - 4*a*c)/a^2))*log(2*c*e^(i*x + h) - a*sqrt((b^2 - 4*a*c)/a^2) + b) - 2*((b^2 - 4*a*c)*d*g^3*i^3*x^3 + 3*(b^2 - 4*a*c)*d*f*g^2*i^3*x^2 + 3*(b^2 - 4*a*c)*d*f^2*g*i^3*x + (b^2 - 4*a*c)*d*g^3*h^3 - 3*(b^2 - 4*a*c)*d*f*g^2*h^2*i + 3*(b^2 - 4*a*c)*d*f^2*g*h*i^2 + ((a*b*d - 2*a^2*e)*g^3*i^3*x^3 + 3*(a*b*d - 2*a^2*e)*f*g^2*i^3*x^2 + 3*(a*b*d - 2*a^2*e)*f^2*g*i^3*x + (a*b*d - 2*a^2*e)*g^3*h^3 - 3*(a*b*d - 2*a^2*e)*f*g^2*h^2*i + 3*(a*b*d - 2*a^2*e)*f^2*g*h*i^2)*sqrt((b^2 - 4*a*c)/a^2))*log(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h) + 2*a)/a) - 2*((b^2 - 4*a*c)*d*g^3*i^3*x^3 + 3*(b^2 - 4*a*c)*d*f*g^2*i^3*x^2 + 3*(b^2 - 4*a*c)*d*f^2*g*i^3*x + (b^2 - 4*a*c)*d*g^3*h^3 - 3*(b^2 - 4*a*c)*d*f*g^2*h^2*i + 3*(b^2 - 4*a*c)*d*f^2*g*h*i^2 - ((a*b*d - 2*a^2*e)*g^3*i^3*x^3 + 3*(a*b*d - 2*a^2*e)*f*g^2*i^3*x^2 + 3*(a*b*d - 2*a^2*e)*f^2*g*i^3*x + (a*b*d - 2*a^2*e)*g^3*h^3 - 3*(a*b*d - 2*a^2*e)*f*g^2*h^2*i + 3*(a*b*d - 2*a^2*e)*f^2*g*h*i^2)*sqrt((b^2 - 4*a*c)/a^2))*log(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h) - 2*a)/a) - 12*((b^2 - 4*a*c)*d*g^3 + (a*b*d - 2*a^2*e)*g^3*sqrt((b^2 - 4*a*c)/a^2))*polylog(4, -1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h))/a) - 12*((b^2 - 4*a*c)*d*g^3 - (a*b*d - 2*a^2*e)*g^3*sqrt((b^2 - 4*a*c)/a^2))*polylog(4, 1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h))/a) + 12*((b^2 - 4*a*c)*d*g^3*i*x + (b^2 - 4*a*c)*d*f*g^2*i + ((a*b*d - 2*a^2*e)*g^3*i*x + (a*b*d - 2*a^2*e)*f*g^2*i)*sqrt((b^2 - 4*a*c)/a^2))*polylog(3, -1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h))/a) + 12*((b^2 - 4*a*c)*d*g^3*i*x + (b^2 - 4*a*c)*d*f*g^2*i - ((a*b*d - 2*a^2*e)*g^3*i*x + (a*b*d - 2*a^2*e)*f*g^2*i)*sqrt((b^2 - 4*a*c)/a^2))*polylog(3, 1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h))/a))/((a*b^2 - 4*a^2*c)*i^4)","C",0
573,1,1193,0,0.510902," ","integrate((d+e*exp(i*x+h))*(g*x+f)^2/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""fricas"")","\frac{2 \, {\left(b^{2} - 4 \, a c\right)} d g^{2} i^{3} x^{3} + 6 \, {\left(b^{2} - 4 \, a c\right)} d f g i^{3} x^{2} + 6 \, {\left(b^{2} - 4 \, a c\right)} d f^{2} i^{3} x - 6 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} i x + {\left(b^{2} - 4 \, a c\right)} d f g i + {\left({\left(a b d - 2 \, a^{2} e\right)} g^{2} i x + {\left(a b d - 2 \, a^{2} e\right)} f g i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm Li}_2\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)} + 2 \, a}{2 \, a} + 1\right) - 6 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} i x + {\left(b^{2} - 4 \, a c\right)} d f g i - {\left({\left(a b d - 2 \, a^{2} e\right)} g^{2} i x + {\left(a b d - 2 \, a^{2} e\right)} f g i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm Li}_2\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)} - 2 \, a}{2 \, a} + 1\right) - 3 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} h^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} d f g h i + {\left(b^{2} - 4 \, a c\right)} d f^{2} i^{2} - {\left({\left(a b d - 2 \, a^{2} e\right)} g^{2} h^{2} - 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g h i + {\left(a b d - 2 \, a^{2} e\right)} f^{2} i^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(2 \, c e^{\left(i x + h\right)} + a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) - 3 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} h^{2} - 2 \, {\left(b^{2} - 4 \, a c\right)} d f g h i + {\left(b^{2} - 4 \, a c\right)} d f^{2} i^{2} + {\left({\left(a b d - 2 \, a^{2} e\right)} g^{2} h^{2} - 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g h i + {\left(a b d - 2 \, a^{2} e\right)} f^{2} i^{2}\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(2 \, c e^{\left(i x + h\right)} - a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) - 3 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} i^{2} x^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} d f g i^{2} x - {\left(b^{2} - 4 \, a c\right)} d g^{2} h^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} d f g h i + {\left({\left(a b d - 2 \, a^{2} e\right)} g^{2} i^{2} x^{2} + 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g i^{2} x - {\left(a b d - 2 \, a^{2} e\right)} g^{2} h^{2} + 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g h i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)} + 2 \, a}{2 \, a}\right) - 3 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} i^{2} x^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} d f g i^{2} x - {\left(b^{2} - 4 \, a c\right)} d g^{2} h^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} d f g h i - {\left({\left(a b d - 2 \, a^{2} e\right)} g^{2} i^{2} x^{2} + 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g i^{2} x - {\left(a b d - 2 \, a^{2} e\right)} g^{2} h^{2} + 2 \, {\left(a b d - 2 \, a^{2} e\right)} f g h i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)} - 2 \, a}{2 \, a}\right) + 6 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} + {\left(a b d - 2 \, a^{2} e\right)} g^{2} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm polylog}\left(3, -\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)}}{2 \, a}\right) + 6 \, {\left({\left(b^{2} - 4 \, a c\right)} d g^{2} - {\left(a b d - 2 \, a^{2} e\right)} g^{2} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm polylog}\left(3, \frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)}}{2 \, a}\right)}{6 \, {\left(a b^{2} - 4 \, a^{2} c\right)} i^{3}}"," ",0,"1/6*(2*(b^2 - 4*a*c)*d*g^2*i^3*x^3 + 6*(b^2 - 4*a*c)*d*f*g*i^3*x^2 + 6*(b^2 - 4*a*c)*d*f^2*i^3*x - 6*((b^2 - 4*a*c)*d*g^2*i*x + (b^2 - 4*a*c)*d*f*g*i + ((a*b*d - 2*a^2*e)*g^2*i*x + (a*b*d - 2*a^2*e)*f*g*i)*sqrt((b^2 - 4*a*c)/a^2))*dilog(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h) + 2*a)/a + 1) - 6*((b^2 - 4*a*c)*d*g^2*i*x + (b^2 - 4*a*c)*d*f*g*i - ((a*b*d - 2*a^2*e)*g^2*i*x + (a*b*d - 2*a^2*e)*f*g*i)*sqrt((b^2 - 4*a*c)/a^2))*dilog(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h) - 2*a)/a + 1) - 3*((b^2 - 4*a*c)*d*g^2*h^2 - 2*(b^2 - 4*a*c)*d*f*g*h*i + (b^2 - 4*a*c)*d*f^2*i^2 - ((a*b*d - 2*a^2*e)*g^2*h^2 - 2*(a*b*d - 2*a^2*e)*f*g*h*i + (a*b*d - 2*a^2*e)*f^2*i^2)*sqrt((b^2 - 4*a*c)/a^2))*log(2*c*e^(i*x + h) + a*sqrt((b^2 - 4*a*c)/a^2) + b) - 3*((b^2 - 4*a*c)*d*g^2*h^2 - 2*(b^2 - 4*a*c)*d*f*g*h*i + (b^2 - 4*a*c)*d*f^2*i^2 + ((a*b*d - 2*a^2*e)*g^2*h^2 - 2*(a*b*d - 2*a^2*e)*f*g*h*i + (a*b*d - 2*a^2*e)*f^2*i^2)*sqrt((b^2 - 4*a*c)/a^2))*log(2*c*e^(i*x + h) - a*sqrt((b^2 - 4*a*c)/a^2) + b) - 3*((b^2 - 4*a*c)*d*g^2*i^2*x^2 + 2*(b^2 - 4*a*c)*d*f*g*i^2*x - (b^2 - 4*a*c)*d*g^2*h^2 + 2*(b^2 - 4*a*c)*d*f*g*h*i + ((a*b*d - 2*a^2*e)*g^2*i^2*x^2 + 2*(a*b*d - 2*a^2*e)*f*g*i^2*x - (a*b*d - 2*a^2*e)*g^2*h^2 + 2*(a*b*d - 2*a^2*e)*f*g*h*i)*sqrt((b^2 - 4*a*c)/a^2))*log(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h) + 2*a)/a) - 3*((b^2 - 4*a*c)*d*g^2*i^2*x^2 + 2*(b^2 - 4*a*c)*d*f*g*i^2*x - (b^2 - 4*a*c)*d*g^2*h^2 + 2*(b^2 - 4*a*c)*d*f*g*h*i - ((a*b*d - 2*a^2*e)*g^2*i^2*x^2 + 2*(a*b*d - 2*a^2*e)*f*g*i^2*x - (a*b*d - 2*a^2*e)*g^2*h^2 + 2*(a*b*d - 2*a^2*e)*f*g*h*i)*sqrt((b^2 - 4*a*c)/a^2))*log(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h) - 2*a)/a) + 6*((b^2 - 4*a*c)*d*g^2 + (a*b*d - 2*a^2*e)*g^2*sqrt((b^2 - 4*a*c)/a^2))*polylog(3, -1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h))/a) + 6*((b^2 - 4*a*c)*d*g^2 - (a*b*d - 2*a^2*e)*g^2*sqrt((b^2 - 4*a*c)/a^2))*polylog(3, 1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h))/a))/((a*b^2 - 4*a^2*c)*i^3)","C",0
574,1,651,0,0.476660," ","integrate((d+e*exp(i*x+h))*(g*x+f)/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""fricas"")","\frac{{\left(b^{2} - 4 \, a c\right)} d g i^{2} x^{2} + 2 \, {\left(b^{2} - 4 \, a c\right)} d f i^{2} x - {\left({\left(b^{2} - 4 \, a c\right)} d g + {\left(a b d - 2 \, a^{2} e\right)} g \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm Li}_2\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)} + 2 \, a}{2 \, a} + 1\right) - {\left({\left(b^{2} - 4 \, a c\right)} d g - {\left(a b d - 2 \, a^{2} e\right)} g \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} {\rm Li}_2\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)} - 2 \, a}{2 \, a} + 1\right) + {\left({\left(b^{2} - 4 \, a c\right)} d g h - {\left(b^{2} - 4 \, a c\right)} d f i - {\left({\left(a b d - 2 \, a^{2} e\right)} g h - {\left(a b d - 2 \, a^{2} e\right)} f i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(2 \, c e^{\left(i x + h\right)} + a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) + {\left({\left(b^{2} - 4 \, a c\right)} d g h - {\left(b^{2} - 4 \, a c\right)} d f i + {\left({\left(a b d - 2 \, a^{2} e\right)} g h - {\left(a b d - 2 \, a^{2} e\right)} f i\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(2 \, c e^{\left(i x + h\right)} - a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} + b\right) - {\left({\left(b^{2} - 4 \, a c\right)} d g i x + {\left(b^{2} - 4 \, a c\right)} d g h + {\left({\left(a b d - 2 \, a^{2} e\right)} g i x + {\left(a b d - 2 \, a^{2} e\right)} g h\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} + b e^{\left(i x + h\right)} + 2 \, a}{2 \, a}\right) - {\left({\left(b^{2} - 4 \, a c\right)} d g i x + {\left(b^{2} - 4 \, a c\right)} d g h - {\left({\left(a b d - 2 \, a^{2} e\right)} g i x + {\left(a b d - 2 \, a^{2} e\right)} g h\right)} \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}}\right)} \log\left(-\frac{a \sqrt{\frac{b^{2} - 4 \, a c}{a^{2}}} e^{\left(i x + h\right)} - b e^{\left(i x + h\right)} - 2 \, a}{2 \, a}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} i^{2}}"," ",0,"1/2*((b^2 - 4*a*c)*d*g*i^2*x^2 + 2*(b^2 - 4*a*c)*d*f*i^2*x - ((b^2 - 4*a*c)*d*g + (a*b*d - 2*a^2*e)*g*sqrt((b^2 - 4*a*c)/a^2))*dilog(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h) + 2*a)/a + 1) - ((b^2 - 4*a*c)*d*g - (a*b*d - 2*a^2*e)*g*sqrt((b^2 - 4*a*c)/a^2))*dilog(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h) - 2*a)/a + 1) + ((b^2 - 4*a*c)*d*g*h - (b^2 - 4*a*c)*d*f*i - ((a*b*d - 2*a^2*e)*g*h - (a*b*d - 2*a^2*e)*f*i)*sqrt((b^2 - 4*a*c)/a^2))*log(2*c*e^(i*x + h) + a*sqrt((b^2 - 4*a*c)/a^2) + b) + ((b^2 - 4*a*c)*d*g*h - (b^2 - 4*a*c)*d*f*i + ((a*b*d - 2*a^2*e)*g*h - (a*b*d - 2*a^2*e)*f*i)*sqrt((b^2 - 4*a*c)/a^2))*log(2*c*e^(i*x + h) - a*sqrt((b^2 - 4*a*c)/a^2) + b) - ((b^2 - 4*a*c)*d*g*i*x + (b^2 - 4*a*c)*d*g*h + ((a*b*d - 2*a^2*e)*g*i*x + (a*b*d - 2*a^2*e)*g*h)*sqrt((b^2 - 4*a*c)/a^2))*log(1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) + b*e^(i*x + h) + 2*a)/a) - ((b^2 - 4*a*c)*d*g*i*x + (b^2 - 4*a*c)*d*g*h - ((a*b*d - 2*a^2*e)*g*i*x + (a*b*d - 2*a^2*e)*g*h)*sqrt((b^2 - 4*a*c)/a^2))*log(-1/2*(a*sqrt((b^2 - 4*a*c)/a^2)*e^(i*x + h) - b*e^(i*x + h) - 2*a)/a))/((a*b^2 - 4*a^2*c)*i^2)","A",0
575,1,291,0,0.503704," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x, algorithm=""fricas"")","\left[\frac{2 \, {\left(b^{2} - 4 \, a c\right)} d i x - {\left(b^{2} - 4 \, a c\right)} d \log\left(c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a\right) - \sqrt{b^{2} - 4 \, a c} {\left(b d - 2 \, a e\right)} \log\left(\frac{2 \, c^{2} e^{\left(2 \, i x + 2 \, h\right)} + 2 \, b c e^{\left(i x + h\right)} + b^{2} - 2 \, a c - \sqrt{b^{2} - 4 \, a c} {\left(2 \, c e^{\left(i x + h\right)} + b\right)}}{c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} i}, \frac{2 \, {\left(b^{2} - 4 \, a c\right)} d i x - {\left(b^{2} - 4 \, a c\right)} d \log\left(c e^{\left(2 \, i x + 2 \, h\right)} + b e^{\left(i x + h\right)} + a\right) + 2 \, \sqrt{-b^{2} + 4 \, a c} {\left(b d - 2 \, a e\right)} \arctan\left(-\frac{\sqrt{-b^{2} + 4 \, a c} {\left(2 \, c e^{\left(i x + h\right)} + b\right)}}{b^{2} - 4 \, a c}\right)}{2 \, {\left(a b^{2} - 4 \, a^{2} c\right)} i}\right]"," ",0,"[1/2*(2*(b^2 - 4*a*c)*d*i*x - (b^2 - 4*a*c)*d*log(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a) - sqrt(b^2 - 4*a*c)*(b*d - 2*a*e)*log((2*c^2*e^(2*i*x + 2*h) + 2*b*c*e^(i*x + h) + b^2 - 2*a*c - sqrt(b^2 - 4*a*c)*(2*c*e^(i*x + h) + b))/(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a)))/((a*b^2 - 4*a^2*c)*i), 1/2*(2*(b^2 - 4*a*c)*d*i*x - (b^2 - 4*a*c)*d*log(c*e^(2*i*x + 2*h) + b*e^(i*x + h) + a) + 2*sqrt(-b^2 + 4*a*c)*(b*d - 2*a*e)*arctan(-sqrt(-b^2 + 4*a*c)*(2*c*e^(i*x + h) + b)/(b^2 - 4*a*c)))/((a*b^2 - 4*a^2*c)*i)]","A",0
576,0,0,0,0.467036," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h))/(g*x+f),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e e^{\left(i x + h\right)} + d}{a g x + a f + {\left(c g x + c f\right)} e^{\left(2 \, i x + 2 \, h\right)} + {\left(b g x + b f\right)} e^{\left(i x + h\right)}}, x\right)"," ",0,"integral((e*e^(i*x + h) + d)/(a*g*x + a*f + (c*g*x + c*f)*e^(2*i*x + 2*h) + (b*g*x + b*f)*e^(i*x + h)), x)","F",0
577,0,0,0,0.503735," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h))/(g*x+f)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{e e^{\left(i x + h\right)} + d}{a g^{2} x^{2} + 2 \, a f g x + a f^{2} + {\left(c g^{2} x^{2} + 2 \, c f g x + c f^{2}\right)} e^{\left(2 \, i x + 2 \, h\right)} + {\left(b g^{2} x^{2} + 2 \, b f g x + b f^{2}\right)} e^{\left(i x + h\right)}}, x\right)"," ",0,"integral((e*e^(i*x + h) + d)/(a*g^2*x^2 + 2*a*f*g*x + a*f^2 + (c*g^2*x^2 + 2*c*f*g*x + c*f^2)*e^(2*i*x + 2*h) + (b*g^2*x^2 + 2*b*f*g*x + b*f^2)*e^(i*x + h)), x)","F",0
578,1,251,0,0.499009," ","integrate((b*e-a*e*exp(d*x+c))*x/(b*e-2*a*e*exp(d*x+c)-b*e*exp(2*d*x+2*c)),x, algorithm=""fricas"")","\frac{d^{2} x^{2} + c \log\left(2 \, b e^{\left(d x + c\right)} + 2 \, b \sqrt{\frac{a^{2} + b^{2}}{b^{2}}} + 2 \, a\right) + c \log\left(2 \, b e^{\left(d x + c\right)} - 2 \, b \sqrt{\frac{a^{2} + b^{2}}{b^{2}}} + 2 \, a\right) - {\left(d x + c\right)} \log\left(-\frac{b \sqrt{\frac{a^{2} + b^{2}}{b^{2}}} e^{\left(d x + c\right)} + a e^{\left(d x + c\right)} - b}{b}\right) - {\left(d x + c\right)} \log\left(\frac{b \sqrt{\frac{a^{2} + b^{2}}{b^{2}}} e^{\left(d x + c\right)} - a e^{\left(d x + c\right)} + b}{b}\right) - {\rm Li}_2\left(\frac{b \sqrt{\frac{a^{2} + b^{2}}{b^{2}}} e^{\left(d x + c\right)} + a e^{\left(d x + c\right)} - b}{b} + 1\right) - {\rm Li}_2\left(-\frac{b \sqrt{\frac{a^{2} + b^{2}}{b^{2}}} e^{\left(d x + c\right)} - a e^{\left(d x + c\right)} + b}{b} + 1\right)}{2 \, d^{2}}"," ",0,"1/2*(d^2*x^2 + c*log(2*b*e^(d*x + c) + 2*b*sqrt((a^2 + b^2)/b^2) + 2*a) + c*log(2*b*e^(d*x + c) - 2*b*sqrt((a^2 + b^2)/b^2) + 2*a) - (d*x + c)*log(-(b*sqrt((a^2 + b^2)/b^2)*e^(d*x + c) + a*e^(d*x + c) - b)/b) - (d*x + c)*log((b*sqrt((a^2 + b^2)/b^2)*e^(d*x + c) - a*e^(d*x + c) + b)/b) - dilog((b*sqrt((a^2 + b^2)/b^2)*e^(d*x + c) + a*e^(d*x + c) - b)/b + 1) - dilog(-(b*sqrt((a^2 + b^2)/b^2)*e^(d*x + c) - a*e^(d*x + c) + b)/b + 1))/d^2","A",0
579,0,0,0,0.509053," ","integrate(F^(a+b*log(c+d*x^n))*x^2,x, algorithm=""fricas"")","{\rm integral}\left(F^{b \log\left(d x^{n} + c\right) + a} x^{2}, x\right)"," ",0,"integral(F^(b*log(d*x^n + c) + a)*x^2, x)","F",0
580,0,0,0,0.470424," ","integrate(F^(a+b*log(c+d*x^n))*x,x, algorithm=""fricas"")","{\rm integral}\left(F^{b \log\left(d x^{n} + c\right) + a} x, x\right)"," ",0,"integral(F^(b*log(d*x^n + c) + a)*x, x)","F",0
581,0,0,0,0.460809," ","integrate(F^(a+b*log(c+d*x^n)),x, algorithm=""fricas"")","{\rm integral}\left(F^{b \log\left(d x^{n} + c\right) + a}, x\right)"," ",0,"integral(F^(b*log(d*x^n + c) + a), x)","F",0
582,0,0,0,0.470553," ","integrate(F^(a+b*log(c+d*x^n))/x,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b \log\left(d x^{n} + c\right) + a}}{x}, x\right)"," ",0,"integral(F^(b*log(d*x^n + c) + a)/x, x)","F",0
583,0,0,0,0.481419," ","integrate(F^(a+b*log(c+d*x^n))/x^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b \log\left(d x^{n} + c\right) + a}}{x^{2}}, x\right)"," ",0,"integral(F^(b*log(d*x^n + c) + a)/x^2, x)","F",0
584,0,0,0,0.491548," ","integrate(F^(a+b*log(c+d*x^n))/x^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b \log\left(d x^{n} + c\right) + a}}{x^{3}}, x\right)"," ",0,"integral(F^(b*log(d*x^n + c) + a)/x^3, x)","F",0
585,0,0,0,0.472688," ","integrate(F^(a+b*log(c+d*x^n))*(d*x)^m,x, algorithm=""fricas"")","{\rm integral}\left(\left(d x\right)^{m} F^{b \log\left(d x^{n} + c\right) + a}, x\right)"," ",0,"integral((d*x)^m*F^(b*log(d*x^n + c) + a), x)","F",0
586,1,55,0,0.472014," ","integrate(exp(log((e*x+d)^n)^2)*(e*x+d)^m,x, algorithm=""fricas"")","\frac{\sqrt{\pi} \sqrt{n^{2}} \operatorname{erfi}\left(\frac{{\left(2 \, n^{2} \log\left(e x + d\right) + m + 1\right)} \sqrt{n^{2}}}{2 \, n^{2}}\right) e^{\left(-\frac{m^{2} + 2 \, m + 1}{4 \, n^{2}}\right)}}{2 \, e n}"," ",0,"1/2*sqrt(pi)*sqrt(n^2)*erfi(1/2*(2*n^2*log(e*x + d) + m + 1)*sqrt(n^2)/n^2)*e^(-1/4*(m^2 + 2*m + 1)/n^2)/(e*n)","A",0
587,1,143,0,0.461311," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(e*g*x+d*g)^m,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + m + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} + 4 \, b f m n^{2} \log\left(F\right) \log\left(g\right) - 4 \, {\left(b f m + b f\right)} n \log\left(F\right) \log\left(c\right) - m^{2} - 2 \, m - 1}{4 \, b f n^{2} \log\left(F\right)}\right)}}{2 \, e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + m + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 + 4*b*f*m*n^2*log(F)*log(g) - 4*(b*f*m + b*f)*n*log(F)*log(c) - m^2 - 2*m - 1)/(b*f*n^2*log(F)))/(e*n)","A",0
588,1,119,0,0.461961," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(e*g*x+d*g)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} g^{2} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 3\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 12 \, b f n \log\left(F\right) \log\left(c\right) - 9}{4 \, b f n^{2} \log\left(F\right)}\right)}}{2 \, e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*g^2*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 3)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 12*b*f*n*log(F)*log(c) - 9)/(b*f*n^2*log(F)))/(e*n)","A",0
589,1,112,0,0.477635," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(e*g*x+d*g),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} g \operatorname{erf}\left(\frac{{\left(b f n^{2} \log\left(e x + d\right) \log\left(F\right) + b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{a b f^{2} n^{2} \log\left(F\right)^{2} - 2 \, b f n \log\left(F\right) \log\left(c\right) - 1}{b f n^{2} \log\left(F\right)}\right)}}{2 \, e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*g*erf((b*f*n^2*log(e*x + d)*log(F) + b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^((a*b*f^2*n^2*log(F)^2 - 2*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F)))/(e*n)","A",0
590,1,116,0,0.467288," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2)),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 4 \, b f n \log\left(F\right) \log\left(c\right) - 1}{4 \, b f n^{2} \log\left(F\right)}\right)}}{2 \, e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 4*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F)))/(e*n)","A",0
591,1,57,0,0.456484," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(e*g*x+d*g),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} F^{a f} \operatorname{erf}\left(\frac{\sqrt{-b f n^{2} \log\left(F\right)} {\left(n \log\left(e x + d\right) + \log\left(c\right)\right)}}{n}\right)}{2 \, e g n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*F^(a*f)*erf(sqrt(-b*f*n^2*log(F))*(n*log(e*x + d) + log(c))/n)/(e*g*n)","A",0
592,1,119,0,0.461695," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(e*g*x+d*g)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) - 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} + 4 \, b f n \log\left(F\right) \log\left(c\right) - 1}{4 \, b f n^{2} \log\left(F\right)}\right)}}{2 \, e g^{2} n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) - 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 + 4*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F)))/(e*g^2*n)","A",0
593,1,114,0,0.466035," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(e*g*x+d*g)^3,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(b f n^{2} \log\left(e x + d\right) \log\left(F\right) + b f n \log\left(F\right) \log\left(c\right) - 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{a b f^{2} n^{2} \log\left(F\right)^{2} + 2 \, b f n \log\left(F\right) \log\left(c\right) - 1}{b f n^{2} \log\left(F\right)}\right)}}{2 \, e g^{3} n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*erf((b*f*n^2*log(e*x + d)*log(F) + b*f*n*log(F)*log(c) - 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^((a*b*f^2*n^2*log(F)^2 + 2*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F)))/(e*g^3*n)","A",0
594,0,0,0,0.452173," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(h x + g\right)}^{m} F^{b f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f}, x\right)"," ",0,"integral((h*x + g)^m*F^(b*f*log((e*x + d)^n*c)^2 + a*f), x)","F",0
595,1,513,0,0.452910," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g)^3,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} h^{3} \operatorname{erf}\left(\frac{{\left(b f n^{2} \log\left(e x + d\right) \log\left(F\right) + b f n \log\left(F\right) \log\left(c\right) + 2\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{a b f^{2} n^{2} \log\left(F\right)^{2} - 4 \, b f n \log\left(F\right) \log\left(c\right) - 4}{b f n^{2} \log\left(F\right)}\right)} + \sqrt{\pi} {\left(e^{3} g^{3} - 3 \, d e^{2} g^{2} h + 3 \, d^{2} e g h^{2} - d^{3} h^{3}\right)} \sqrt{-b f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 4 \, b f n \log\left(F\right) \log\left(c\right) - 1}{4 \, b f n^{2} \log\left(F\right)}\right)} + 3 \, \sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} {\left(e g h^{2} - d h^{3}\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 3\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 12 \, b f n \log\left(F\right) \log\left(c\right) - 9}{4 \, b f n^{2} \log\left(F\right)}\right)} + 3 \, \sqrt{\pi} {\left(e^{2} g^{2} h - 2 \, d e g h^{2} + d^{2} h^{3}\right)} \sqrt{-b f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(b f n^{2} \log\left(e x + d\right) \log\left(F\right) + b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{a b f^{2} n^{2} \log\left(F\right)^{2} - 2 \, b f n \log\left(F\right) \log\left(c\right) - 1}{b f n^{2} \log\left(F\right)}\right)}}{2 \, e^{4} n}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b*f*n^2*log(F))*h^3*erf((b*f*n^2*log(e*x + d)*log(F) + b*f*n*log(F)*log(c) + 2)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^((a*b*f^2*n^2*log(F)^2 - 4*b*f*n*log(F)*log(c) - 4)/(b*f*n^2*log(F))) + sqrt(pi)*(e^3*g^3 - 3*d*e^2*g^2*h + 3*d^2*e*g*h^2 - d^3*h^3)*sqrt(-b*f*n^2*log(F))*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 4*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F))) + 3*sqrt(pi)*sqrt(-b*f*n^2*log(F))*(e*g*h^2 - d*h^3)*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 3)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 12*b*f*n*log(F)*log(c) - 9)/(b*f*n^2*log(F))) + 3*sqrt(pi)*(e^2*g^2*h - 2*d*e*g*h^2 + d^2*h^3)*sqrt(-b*f*n^2*log(F))*erf((b*f*n^2*log(e*x + d)*log(F) + b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^((a*b*f^2*n^2*log(F)^2 - 2*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F))))/(e^4*n)","A",0
596,1,367,0,0.474992," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} h^{2} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 3\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 12 \, b f n \log\left(F\right) \log\left(c\right) - 9}{4 \, b f n^{2} \log\left(F\right)}\right)} + \sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} {\left(e^{2} g^{2} - 2 \, d e g h + d^{2} h^{2}\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 4 \, b f n \log\left(F\right) \log\left(c\right) - 1}{4 \, b f n^{2} \log\left(F\right)}\right)} + 2 \, \sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} {\left(e g h - d h^{2}\right)} \operatorname{erf}\left(\frac{{\left(b f n^{2} \log\left(e x + d\right) \log\left(F\right) + b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{a b f^{2} n^{2} \log\left(F\right)^{2} - 2 \, b f n \log\left(F\right) \log\left(c\right) - 1}{b f n^{2} \log\left(F\right)}\right)}}{2 \, e^{3} n}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b*f*n^2*log(F))*h^2*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 3)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 12*b*f*n*log(F)*log(c) - 9)/(b*f*n^2*log(F))) + sqrt(pi)*sqrt(-b*f*n^2*log(F))*(e^2*g^2 - 2*d*e*g*h + d^2*h^2)*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 4*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F))) + 2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*(e*g*h - d*h^2)*erf((b*f*n^2*log(e*x + d)*log(F) + b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^((a*b*f^2*n^2*log(F)^2 - 2*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F))))/(e^3*n)","A",0
597,1,231,0,0.464619," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))*(h*x+g),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} {\left(e g - d h\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 4 \, b f n \log\left(F\right) \log\left(c\right) - 1}{4 \, b f n^{2} \log\left(F\right)}\right)} + \sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} h \operatorname{erf}\left(\frac{{\left(b f n^{2} \log\left(e x + d\right) \log\left(F\right) + b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{a b f^{2} n^{2} \log\left(F\right)^{2} - 2 \, b f n \log\left(F\right) \log\left(c\right) - 1}{b f n^{2} \log\left(F\right)}\right)}}{2 \, e^{2} n}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b*f*n^2*log(F))*(e*g - d*h)*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 4*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F))) + sqrt(pi)*sqrt(-b*f*n^2*log(F))*h*erf((b*f*n^2*log(e*x + d)*log(F) + b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^((a*b*f^2*n^2*log(F)^2 - 2*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F))))/(e^2*n)","A",0
598,1,116,0,0.480792," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2)),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b f n \log\left(F\right) \log\left(c\right) + 1\right)} \sqrt{-b f n^{2} \log\left(F\right)}}{2 \, b f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, a b f^{2} n^{2} \log\left(F\right)^{2} - 4 \, b f n \log\left(F\right) \log\left(c\right) - 1}{4 \, b f n^{2} \log\left(F\right)}\right)}}{2 \, e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b*f*n^2*log(F))*erf(1/2*(2*b*f*n^2*log(e*x + d)*log(F) + 2*b*f*n*log(F)*log(c) + 1)*sqrt(-b*f*n^2*log(F))/(b*f*n^2*log(F)))*e^(1/4*(4*a*b*f^2*n^2*log(F)^2 - 4*b*f*n*log(F)*log(c) - 1)/(b*f*n^2*log(F)))/(e*n)","A",0
599,0,0,0,0.491727," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f}}{h x + g}, x\right)"," ",0,"integral(F^(b*f*log((e*x + d)^n*c)^2 + a*f)/(h*x + g), x)","F",0
600,0,0,0,0.493033," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral(F^(b*f*log((e*x + d)^n*c)^2 + a*f)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
601,0,0,0,0.479840," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n)^2))/(h*x+g)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + a f}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, x\right)"," ",0,"integral(F^(b*f*log((e*x + d)^n*c)^2 + a*f)/(h^3*x^3 + 3*g*h^2*x^2 + 3*g^2*h*x + g^3), x)","F",0
602,1,169,0,0.536250," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(e*g*x+d*g)^m,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + m + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, b^{2} f m n^{2} \log\left(F\right) \log\left(g\right) - 4 \, {\left(b^{2} f m + b^{2} f\right)} n \log\left(F\right) \log\left(c\right) - 4 \, {\left(a b f m + a b f\right)} n \log\left(F\right) - m^{2} - 2 \, m - 1}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + m + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(1/4*(4*b^2*f*m*n^2*log(F)*log(g) - 4*(b^2*f*m + b^2*f)*n*log(F)*log(c) - 4*(a*b*f*m + a*b*f)*n*log(F) - m^2 - 2*m - 1)/(b^2*f*n^2*log(F)))/(b*e*n)","A",0
603,1,134,0,0.782612," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(e*g*x+d*g)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} g^{2} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 3\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{3 \, {\left(4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 3\right)}}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*g^2*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 3)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-3/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 3)/(b^2*f*n^2*log(F)))/(b*e*n)","A",0
604,1,128,0,0.888558," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(e*g*x+d*g),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} g \operatorname{erf}\left(\frac{{\left(b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + b^{2} f n \log\left(F\right) \log\left(c\right) + a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1}{b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*g*erf((b^2*f*n^2*log(e*x + d)*log(F) + b^2*f*n*log(F)*log(c) + a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-(2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F)))/(b*e*n)","A",0
605,1,131,0,0.464818," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 1}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-1/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F)))/(b*e*n)","A",0
606,1,66,0,0.491022," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(e*g*x+d*g),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{\sqrt{-b^{2} f n^{2} \log\left(F\right)} {\left(b n \log\left(e x + d\right) + b \log\left(c\right) + a\right)}}{b n}\right)}{2 \, b e g n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*erf(sqrt(-b^2*f*n^2*log(F))*(b*n*log(e*x + d) + b*log(c) + a)/(b*n))/(b*e*g*n)","A",0
607,1,134,0,0.490597," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(e*g*x+d*g)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) - 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(\frac{4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) - 1}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e g^{2} n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) - 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(1/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) - 1)/(b^2*f*n^2*log(F)))/(b*e*g^2*n)","A",0
608,1,129,0,0.492310," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(e*g*x+d*g)^3,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + b^{2} f n \log\left(F\right) \log\left(c\right) + a b f n \log\left(F\right) - 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(\frac{2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) - 1}{b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e g^{3} n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*erf((b^2*f*n^2*log(e*x + d)*log(F) + b^2*f*n*log(F)*log(c) + a*b*f*n*log(F) - 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^((2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) - 1)/(b^2*f*n^2*log(F)))/(b*e*g^3*n)","A",0
609,0,0,0,0.494869," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(h x + g\right)}^{m} F^{b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f}, x\right)"," ",0,"integral((h*x + g)^m*F^(b^2*f*log((e*x + d)^n*c)^2 + 2*a*b*f*log((e*x + d)^n*c) + a^2*f), x)","F",0
610,1,564,0,0.521194," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g)^3,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} h^{3} \operatorname{erf}\left(\frac{{\left(b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + b^{2} f n \log\left(F\right) \log\left(c\right) + a b f n \log\left(F\right) + 2\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{4 \, {\left(b^{2} f n \log\left(F\right) \log\left(c\right) + a b f n \log\left(F\right) + 1\right)}}{b^{2} f n^{2} \log\left(F\right)}\right)} + 3 \, \sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} {\left(e g h^{2} - d h^{3}\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 3\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{3 \, {\left(4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 3\right)}}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)} + \sqrt{\pi} {\left(e^{3} g^{3} - 3 \, d e^{2} g^{2} h + 3 \, d^{2} e g h^{2} - d^{3} h^{3}\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 1}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)} + 3 \, \sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} {\left(e^{2} g^{2} h - 2 \, d e g h^{2} + d^{2} h^{3}\right)} \operatorname{erf}\left(\frac{{\left(b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + b^{2} f n \log\left(F\right) \log\left(c\right) + a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1}{b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e^{4} n}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*h^3*erf((b^2*f*n^2*log(e*x + d)*log(F) + b^2*f*n*log(F)*log(c) + a*b*f*n*log(F) + 2)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-4*(b^2*f*n*log(F)*log(c) + a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F))) + 3*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*(e*g*h^2 - d*h^3)*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 3)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-3/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 3)/(b^2*f*n^2*log(F))) + sqrt(pi)*(e^3*g^3 - 3*d*e^2*g^2*h + 3*d^2*e*g*h^2 - d^3*h^3)*sqrt(-b^2*f*n^2*log(F))*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-1/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F))) + 3*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*(e^2*g^2*h - 2*d*e*g*h^2 + d^2*h^3)*erf((b^2*f*n^2*log(e*x + d)*log(F) + b^2*f*n*log(F)*log(c) + a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-(2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F))))/(b*e^4*n)","A",0
611,1,407,0,0.502921," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g)^2,x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} h^{2} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 3\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{3 \, {\left(4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 3\right)}}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)} + \sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} {\left(e^{2} g^{2} - 2 \, d e g h + d^{2} h^{2}\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 1}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)} + 2 \, \sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} {\left(e g h - d h^{2}\right)} \operatorname{erf}\left(\frac{{\left(b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + b^{2} f n \log\left(F\right) \log\left(c\right) + a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1}{b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e^{3} n}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*h^2*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 3)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-3/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 3)/(b^2*f*n^2*log(F))) + sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*(e^2*g^2 - 2*d*e*g*h + d^2*h^2)*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-1/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F))) + 2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*(e*g*h - d*h^2)*erf((b^2*f*n^2*log(e*x + d)*log(F) + b^2*f*n*log(F)*log(c) + a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-(2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F))))/(b*e^3*n)","A",0
612,1,259,0,0.493482," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)*(h*x+g),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} {\left(e g - d h\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 1}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)} + \sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} h \operatorname{erf}\left(\frac{{\left(b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + b^{2} f n \log\left(F\right) \log\left(c\right) + a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1}{b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e^{2} n}"," ",0,"-1/2*(sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*(e*g - d*h)*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-1/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F))) + sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*h*erf((b^2*f*n^2*log(e*x + d)*log(F) + b^2*f*n*log(F)*log(c) + a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-(2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F))))/(b*e^2*n)","A",0
613,1,131,0,0.475273," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2),x, algorithm=""fricas"")","-\frac{\sqrt{\pi} \sqrt{-b^{2} f n^{2} \log\left(F\right)} \operatorname{erf}\left(\frac{{\left(2 \, b^{2} f n^{2} \log\left(e x + d\right) \log\left(F\right) + 2 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 2 \, a b f n \log\left(F\right) + 1\right)} \sqrt{-b^{2} f n^{2} \log\left(F\right)}}{2 \, b^{2} f n^{2} \log\left(F\right)}\right) e^{\left(-\frac{4 \, b^{2} f n \log\left(F\right) \log\left(c\right) + 4 \, a b f n \log\left(F\right) + 1}{4 \, b^{2} f n^{2} \log\left(F\right)}\right)}}{2 \, b e n}"," ",0,"-1/2*sqrt(pi)*sqrt(-b^2*f*n^2*log(F))*erf(1/2*(2*b^2*f*n^2*log(e*x + d)*log(F) + 2*b^2*f*n*log(F)*log(c) + 2*a*b*f*n*log(F) + 1)*sqrt(-b^2*f*n^2*log(F))/(b^2*f*n^2*log(F)))*e^(-1/4*(4*b^2*f*n*log(F)*log(c) + 4*a*b*f*n*log(F) + 1)/(b^2*f*n^2*log(F)))/(b*e*n)","A",0
614,0,0,0,0.466014," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(h*x+g),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f}}{h x + g}, x\right)"," ",0,"integral(F^(b^2*f*log((e*x + d)^n*c)^2 + 2*a*b*f*log((e*x + d)^n*c) + a^2*f)/(h*x + g), x)","F",0
615,0,0,0,0.482367," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(h*x+g)^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f}}{h^{2} x^{2} + 2 \, g h x + g^{2}}, x\right)"," ",0,"integral(F^(b^2*f*log((e*x + d)^n*c)^2 + 2*a*b*f*log((e*x + d)^n*c) + a^2*f)/(h^2*x^2 + 2*g*h*x + g^2), x)","F",0
616,0,0,0,0.457169," ","integrate(F^(f*(a+b*log(c*(e*x+d)^n))^2)/(h*x+g)^3,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F^{b^{2} f \log\left({\left(e x + d\right)}^{n} c\right)^{2} + 2 \, a b f \log\left({\left(e x + d\right)}^{n} c\right) + a^{2} f}}{h^{3} x^{3} + 3 \, g h^{2} x^{2} + 3 \, g^{2} h x + g^{3}}, x\right)"," ",0,"integral(F^(b^2*f*log((e*x + d)^n*c)^2 + 2*a*b*f*log((e*x + d)^n*c) + a^2*f)/(h^3*x^3 + 3*g*h^2*x^2 + 3*g^2*h*x + g^3), x)","F",0
617,1,17,0,0.474901," ","integrate(F^(c*x^3+b*x+a)*(3*c*x^2+b),x, algorithm=""fricas"")","\frac{F^{c x^{3} + b x + a}}{\log\left(F\right)}"," ",0,"F^(c*x^3 + b*x + a)/log(F)","A",0
618,1,20,0,0.449120," ","integrate(F^(1/(c*x^2+b*x+a))*(2*c*x+b)/(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","-\frac{F^{\left(\frac{1}{c x^{2} + b x + a}\right)}}{\log\left(F\right)}"," ",0,"-F^(1/(c*x^2 + b*x + a))/log(F)","A",0
619,1,23,0,0.481762," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^m,x, algorithm=""fricas"")","\cos\left(\pi m\right) \Gamma\left(m + 1, -c x^{2} - b x - a\right)"," ",0,"cos(pi*m)*gamma(m + 1, -c*x^2 - b*x - a)","A",0
620,1,109,0,0.463590," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^3,x, algorithm=""fricas"")","{\left(c^{3} x^{6} + 3 \, b c^{2} x^{5} + 3 \, {\left(b^{2} c + {\left(a - 1\right)} c^{2}\right)} x^{4} + {\left(b^{3} + 6 \, {\left(a - 1\right)} b c\right)} x^{3} + a^{3} + 3 \, {\left(a^{2} - 2 \, a + 2\right)} b x + 3 \, {\left({\left(a - 1\right)} b^{2} + {\left(a^{2} - 2 \, a + 2\right)} c\right)} x^{2} - 3 \, a^{2} + 6 \, a - 6\right)} e^{\left(c x^{2} + b x + a\right)}"," ",0,"(c^3*x^6 + 3*b*c^2*x^5 + 3*(b^2*c + (a - 1)*c^2)*x^4 + (b^3 + 6*(a - 1)*b*c)*x^3 + a^3 + 3*(a^2 - 2*a + 2)*b*x + 3*((a - 1)*b^2 + (a^2 - 2*a + 2)*c)*x^2 - 3*a^2 + 6*a - 6)*e^(c*x^2 + b*x + a)","A",0
621,1,55,0,0.499233," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","{\left(c^{2} x^{4} + 2 \, b c x^{3} + 2 \, {\left(a - 1\right)} b x + {\left(b^{2} + 2 \, {\left(a - 1\right)} c\right)} x^{2} + a^{2} - 2 \, a + 2\right)} e^{\left(c x^{2} + b x + a\right)}"," ",0,"(c^2*x^4 + 2*b*c*x^3 + 2*(a - 1)*b*x + (b^2 + 2*(a - 1)*c)*x^2 + a^2 - 2*a + 2)*e^(c*x^2 + b*x + a)","A",0
622,1,23,0,0.454247," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a),x, algorithm=""fricas"")","{\left(c x^{2} + b x + a - 1\right)} e^{\left(c x^{2} + b x + a\right)}"," ",0,"(c*x^2 + b*x + a - 1)*e^(c*x^2 + b*x + a)","A",0
623,1,11,0,0.464567," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b),x, algorithm=""fricas"")","e^{\left(c x^{2} + b x + a\right)}"," ",0,"e^(c*x^2 + b*x + a)","A",0
624,1,11,0,0.479749," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a),x, algorithm=""fricas"")","{\rm Ei}\left(c x^{2} + b x + a\right)"," ",0,"Ei(c*x^2 + b*x + a)","A",0
625,1,49,0,0.471666," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^2,x, algorithm=""fricas"")","\frac{{\left(c x^{2} + b x + a\right)} {\rm Ei}\left(c x^{2} + b x + a\right) - e^{\left(c x^{2} + b x + a\right)}}{c x^{2} + b x + a}"," ",0,"((c*x^2 + b*x + a)*Ei(c*x^2 + b*x + a) - e^(c*x^2 + b*x + a))/(c*x^2 + b*x + a)","A",0
626,1,111,0,0.476300," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^3,x, algorithm=""fricas"")","\frac{{\left(c^{2} x^{4} + 2 \, b c x^{3} + 2 \, a b x + {\left(b^{2} + 2 \, a c\right)} x^{2} + a^{2}\right)} {\rm Ei}\left(c x^{2} + b x + a\right) - {\left(c x^{2} + b x + a + 1\right)} e^{\left(c x^{2} + b x + a\right)}}{2 \, {\left(c^{2} x^{4} + 2 \, b c x^{3} + 2 \, a b x + {\left(b^{2} + 2 \, a c\right)} x^{2} + a^{2}\right)}}"," ",0,"1/2*((c^2*x^4 + 2*b*c*x^3 + 2*a*b*x + (b^2 + 2*a*c)*x^2 + a^2)*Ei(c*x^2 + b*x + a) - (c*x^2 + b*x + a + 1)*e^(c*x^2 + b*x + a))/(c^2*x^4 + 2*b*c*x^3 + 2*a*b*x + (b^2 + 2*a*c)*x^2 + a^2)","A",0
627,0,0,0,0.486064," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(2 \, c^{4} x^{7} + 7 \, b c^{3} x^{6} + 3 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} x^{5} + 5 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} x^{4} + a^{3} b + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} x^{3} + 3 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} x^{2} + {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} x\right)} \sqrt{c x^{2} + b x + a} e^{\left(c x^{2} + b x + a\right)}, x\right)"," ",0,"integral((2*c^4*x^7 + 7*b*c^3*x^6 + 3*(3*b^2*c^2 + 2*a*c^3)*x^5 + 5*(b^3*c + 3*a*b*c^2)*x^4 + a^3*b + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*x^3 + 3*(a*b^3 + 3*a^2*b*c)*x^2 + (3*a^2*b^2 + 2*a^3*c)*x)*sqrt(c*x^2 + b*x + a)*e^(c*x^2 + b*x + a), x)","F",0
628,0,0,0,0.519524," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(2 \, c^{3} x^{5} + 5 \, b c^{2} x^{4} + 4 \, {\left(b^{2} c + a c^{2}\right)} x^{3} + a^{2} b + {\left(b^{3} + 6 \, a b c\right)} x^{2} + 2 \, {\left(a b^{2} + a^{2} c\right)} x\right)} \sqrt{c x^{2} + b x + a} e^{\left(c x^{2} + b x + a\right)}, x\right)"," ",0,"integral((2*c^3*x^5 + 5*b*c^2*x^4 + 4*(b^2*c + a*c^2)*x^3 + a^2*b + (b^3 + 6*a*b*c)*x^2 + 2*(a*b^2 + a^2*c)*x)*sqrt(c*x^2 + b*x + a)*e^(c*x^2 + b*x + a), x)","F",0
629,0,0,0,0.488760," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left({\left(2 \, c^{2} x^{3} + 3 \, b c x^{2} + a b + {\left(b^{2} + 2 \, a c\right)} x\right)} \sqrt{c x^{2} + b x + a} e^{\left(c x^{2} + b x + a\right)}, x\right)"," ",0,"integral((2*c^2*x^3 + 3*b*c*x^2 + a*b + (b^2 + 2*a*c)*x)*sqrt(c*x^2 + b*x + a)*e^(c*x^2 + b*x + a), x)","F",0
630,0,0,0,0.488767," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\sqrt{c x^{2} + b x + a} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}, x\right)"," ",0,"integral(sqrt(c*x^2 + b*x + a)*(2*c*x + b)*e^(c*x^2 + b*x + a), x)","F",0
631,0,0,0,0.478569," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(1/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{\sqrt{c x^{2} + b x + a}}, x\right)"," ",0,"integral((2*c*x + b)*e^(c*x^2 + b*x + a)/sqrt(c*x^2 + b*x + a), x)","F",0
632,0,0,0,0.504933," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(3/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2} + b x + a} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{c^{2} x^{4} + 2 \, b c x^{3} + 2 \, a b x + {\left(b^{2} + 2 \, a c\right)} x^{2} + a^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2 + b*x + a)*(2*c*x + b)*e^(c*x^2 + b*x + a)/(c^2*x^4 + 2*b*c*x^3 + 2*a*b*x + (b^2 + 2*a*c)*x^2 + a^2), x)","F",0
633,0,0,0,0.512890," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(5/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2} + b x + a} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{c^{3} x^{6} + 3 \, b c^{2} x^{5} + 3 \, {\left(b^{2} c + a c^{2}\right)} x^{4} + 3 \, a^{2} b x + {\left(b^{3} + 6 \, a b c\right)} x^{3} + a^{3} + 3 \, {\left(a b^{2} + a^{2} c\right)} x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2 + b*x + a)*(2*c*x + b)*e^(c*x^2 + b*x + a)/(c^3*x^6 + 3*b*c^2*x^5 + 3*(b^2*c + a*c^2)*x^4 + 3*a^2*b*x + (b^3 + 6*a*b*c)*x^3 + a^3 + 3*(a*b^2 + a^2*c)*x^2), x)","F",0
634,0,0,0,0.507653," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(7/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2} + b x + a} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{c^{4} x^{8} + 4 \, b c^{3} x^{7} + 2 \, {\left(3 \, b^{2} c^{2} + 2 \, a c^{3}\right)} x^{6} + 4 \, {\left(b^{3} c + 3 \, a b c^{2}\right)} x^{5} + 4 \, a^{3} b x + {\left(b^{4} + 12 \, a b^{2} c + 6 \, a^{2} c^{2}\right)} x^{4} + a^{4} + 4 \, {\left(a b^{3} + 3 \, a^{2} b c\right)} x^{3} + 2 \, {\left(3 \, a^{2} b^{2} + 2 \, a^{3} c\right)} x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2 + b*x + a)*(2*c*x + b)*e^(c*x^2 + b*x + a)/(c^4*x^8 + 4*b*c^3*x^7 + 2*(3*b^2*c^2 + 2*a*c^3)*x^6 + 4*(b^3*c + 3*a*b*c^2)*x^5 + 4*a^3*b*x + (b^4 + 12*a*b^2*c + 6*a^2*c^2)*x^4 + a^4 + 4*(a*b^3 + 3*a^2*b*c)*x^3 + 2*(3*a^2*b^2 + 2*a^3*c)*x^2), x)","F",0
635,0,0,0,0.500916," ","integrate(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(9/2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{\sqrt{c x^{2} + b x + a} {\left(2 \, c x + b\right)} e^{\left(c x^{2} + b x + a\right)}}{c^{5} x^{10} + 5 \, b c^{4} x^{9} + 5 \, {\left(2 \, b^{2} c^{3} + a c^{4}\right)} x^{8} + 10 \, {\left(b^{3} c^{2} + 2 \, a b c^{3}\right)} x^{7} + 5 \, {\left(b^{4} c + 6 \, a b^{2} c^{2} + 2 \, a^{2} c^{3}\right)} x^{6} + 5 \, a^{4} b x + {\left(b^{5} + 20 \, a b^{3} c + 30 \, a^{2} b c^{2}\right)} x^{5} + a^{5} + 5 \, {\left(a b^{4} + 6 \, a^{2} b^{2} c + 2 \, a^{3} c^{2}\right)} x^{4} + 10 \, {\left(a^{2} b^{3} + 2 \, a^{3} b c\right)} x^{3} + 5 \, {\left(2 \, a^{3} b^{2} + a^{4} c\right)} x^{2}}, x\right)"," ",0,"integral(sqrt(c*x^2 + b*x + a)*(2*c*x + b)*e^(c*x^2 + b*x + a)/(c^5*x^10 + 5*b*c^4*x^9 + 5*(2*b^2*c^3 + a*c^4)*x^8 + 10*(b^3*c^2 + 2*a*b*c^3)*x^7 + 5*(b^4*c + 6*a*b^2*c^2 + 2*a^2*c^3)*x^6 + 5*a^4*b*x + (b^5 + 20*a*b^3*c + 30*a^2*b*c^2)*x^5 + a^5 + 5*(a*b^4 + 6*a^2*b^2*c + 2*a^3*c^2)*x^4 + 10*(a^2*b^3 + 2*a^3*b*c)*x^3 + 5*(2*a^3*b^2 + a^4*c)*x^2), x)","F",0
636,1,18,0,0.462131," ","integrate(1/exp(x)/(1-1/exp(2*x))^(1/2),x, algorithm=""fricas"")","2 \, \arctan\left({\left(\sqrt{-e^{\left(-2 \, x\right)} + 1} - 1\right)} e^{x}\right)"," ",0,"2*arctan((sqrt(-e^(-2*x) + 1) - 1)*e^x)","B",0
637,1,7,0,0.473997," ","integrate(exp(x)/(4+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(\frac{1}{2} \, e^{x}\right)"," ",0,"1/2*arctan(1/2*e^x)","A",0
638,1,15,0,0.475830," ","integrate(exp(x)/(1-exp(2*x)),x, algorithm=""fricas"")","\frac{1}{2} \, \log\left(e^{x} + 1\right) - \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"1/2*log(e^x + 1) - 1/2*log(e^x - 1)","B",0
639,1,32,0,0.463503," ","integrate(exp(x)/(3-4*exp(2*x)),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3} \log\left(\frac{4 \, \sqrt{3} e^{x} + 4 \, e^{\left(2 \, x\right)} + 3}{4 \, e^{\left(2 \, x\right)} - 3}\right)"," ",0,"1/12*sqrt(3)*log((4*sqrt(3)*e^x + 4*e^(2*x) + 3)/(4*e^(2*x) - 3))","B",0
640,1,34,0,0.475017," ","integrate(exp(x)*(3-4*exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-4 \, e^{\left(2 \, x\right)} + 3} e^{x} - \frac{3}{4} \, \arctan\left(\frac{1}{2} \, \sqrt{-4 \, e^{\left(2 \, x\right)} + 3} e^{\left(-x\right)}\right)"," ",0,"1/2*sqrt(-4*e^(2*x) + 3)*e^x - 3/4*arctan(1/2*sqrt(-4*e^(2*x) + 3)*e^(-x))","A",0
641,1,11,0,0.456373," ","integrate(exp(x^2)*x^3,x, algorithm=""fricas"")","\frac{1}{2} \, {\left(x^{2} - 1\right)} e^{\left(x^{2}\right)}"," ",0,"1/2*(x^2 - 1)*e^(x^2)","A",0
642,1,35,0,0.457674," ","integrate(exp(x)*(1-exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-e^{\left(2 \, x\right)} + 1} e^{x} - \arctan\left({\left(\sqrt{-e^{\left(2 \, x\right)} + 1} - 1\right)} e^{\left(-x\right)}\right)"," ",0,"1/2*sqrt(-e^(2*x) + 1)*e^x - arctan((sqrt(-e^(2*x) + 1) - 1)*e^(-x))","A",0
643,1,21,0,0.460674," ","integrate(exp(x)/(1+exp(x)+exp(2*x))^(1/2),x, algorithm=""fricas"")","-\log\left(2 \, \sqrt{e^{\left(2 \, x\right)} + e^{x} + 1} - 2 \, e^{x} - 1\right)"," ",0,"-log(2*sqrt(e^(2*x) + e^x + 1) - 2*e^x - 1)","A",0
644,1,15,0,0.471516," ","integrate(exp(x)/(-4+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(e^{x} + 2\right) + \frac{1}{4} \, \log\left(e^{x} - 2\right)"," ",0,"-1/4*log(e^x + 2) + 1/4*log(e^x - 2)","B",0
645,1,10,0,0.454296," ","integrate(exp(-x^2+2)*x,x, algorithm=""fricas"")","-\frac{1}{2} \, e^{\left(-x^{2} + 2\right)}"," ",0,"-1/2*e^(-x^2 + 2)","A",0
646,1,20,0,0.475995," ","integrate(exp(x)-x^E,x, algorithm=""fricas"")","-\frac{x x^{E} - {\left(E + 1\right)} e^{x}}{E + 1}"," ",0,"-(x*x^E - (E + 1)*e^x)/(E + 1)","A",0
647,1,13,0,0.458272," ","integrate((-1+exp(2*x))/(3+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{3} \, x + \frac{2}{3} \, \log\left(e^{\left(2 \, x\right)} + 3\right)"," ",0,"-1/3*x + 2/3*log(e^(2*x) + 3)","A",0
648,1,20,0,0.466361," ","integrate(exp(x)/(1-exp(2*x))^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left({\left(\sqrt{-e^{\left(2 \, x\right)} + 1} - 1\right)} e^{\left(-x\right)}\right)"," ",0,"-2*arctan((sqrt(-e^(2*x) + 1) - 1)*e^(-x))","B",0
649,1,7,0,0.462953," ","integrate(exp(2*x)/(1+exp(4*x)),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(e^{\left(2 \, x\right)}\right)"," ",0,"1/2*arctan(e^(2*x))","A",0
650,1,21,0,0.467525," ","integrate(1/(-3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{9} \, {\left(x e^{x} - e^{x} \log\left(e^{x} - 3\right) - 3\right)} e^{\left(-x\right)}"," ",0,"-1/9*(x*e^x - e^x*log(e^x - 3) - 3)*e^(-x)","A",0
651,1,10,0,0.490526," ","integrate(exp(x)*(-2+exp(x))/(1+exp(x)),x, algorithm=""fricas"")","e^{x} - 3 \, \log\left(e^{x} + 1\right)"," ",0,"e^x - 3*log(e^x + 1)","A",0
652,1,15,0,0.455026," ","integrate(exp(x)/(-1+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(e^x - 1)","B",0
653,1,3,0,0.454730," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""fricas"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
654,1,11,0,0.479573," ","integrate((exp(-x)+exp(x))/(-1/exp(x)+exp(x)),x, algorithm=""fricas"")","-x + \log\left(e^{\left(2 \, x\right)} - 1\right)"," ",0,"-x + log(e^(2*x) - 1)","A",0
655,1,11,0,0.468716," ","integrate((-1/exp(x)+exp(x))/(exp(-x)+exp(x)),x, algorithm=""fricas"")","-x + \log\left(e^{\left(2 \, x\right)} + 1\right)"," ",0,"-x + log(e^(2*x) + 1)","A",0
656,1,13,0,0.484840," ","integrate((exp(-2*x)+exp(2*x))/(-1/exp(2*x)+exp(2*x)),x, algorithm=""fricas"")","-x + \frac{1}{2} \, \log\left(e^{\left(4 \, x\right)} - 1\right)"," ",0,"-x + 1/2*log(e^(4*x) - 1)","A",0
657,1,16,0,0.461836," ","integrate(exp(x)/(1+exp(2*x))^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x}\right)"," ",0,"-log(sqrt(e^(2*x) + 1) - e^x)","B",0
658,1,8,0,0.478747," ","integrate(exp((4+x)^(1/2))/(4+x)^(1/2),x, algorithm=""fricas"")","2 \, e^{\left(\sqrt{x + 4}\right)}"," ",0,"2*e^(sqrt(x + 4))","A",0
659,1,13,0,0.459153," ","integrate(x/(-1+exp(2*x^2))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(\sqrt{e^{\left(2 \, x^{2}\right)} - 1}\right)"," ",0,"1/2*arctan(sqrt(e^(2*x^2) - 1))","A",0
660,1,29,0,0.455055," ","integrate(exp(x)*(9+exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{e^{\left(2 \, x\right)} + 9} e^{x} - \frac{9}{2} \, \log\left(\sqrt{e^{\left(2 \, x\right)} + 9} - e^{x}\right)"," ",0,"1/2*sqrt(e^(2*x) + 9)*e^x - 9/2*log(sqrt(e^(2*x) + 9) - e^x)","A",0
661,1,29,0,0.470311," ","integrate(exp(x)*(1+exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{e^{\left(2 \, x\right)} + 1} e^{x} - \frac{1}{2} \, \log\left(\sqrt{e^{\left(2 \, x\right)} + 1} - e^{x}\right)"," ",0,"1/2*sqrt(e^(2*x) + 1)*e^x - 1/2*log(sqrt(e^(2*x) + 1) - e^x)","A",0
662,1,7,0,0.453011," ","integrate(exp(x^2)*x/(1+exp(2*x^2)),x, algorithm=""fricas"")","\frac{1}{2} \, \arctan\left(e^{\left(x^{2}\right)}\right)"," ",0,"1/2*arctan(e^(x^2))","A",0
663,1,11,0,0.456881," ","integrate(exp(x^(3/2))*x^2,x, algorithm=""fricas"")","\frac{2}{3} \, {\left(x^{\frac{3}{2}} - 1\right)} e^{\left(x^{\frac{3}{2}}\right)}"," ",0,"2/3*(x^(3/2) - 1)*e^(x^(3/2))","A",0
664,1,16,0,0.449952," ","integrate(exp(x)/(-3+exp(2*x))^(1/2),x, algorithm=""fricas"")","-\log\left(\sqrt{e^{\left(2 \, x\right)} - 3} - e^{x}\right)"," ",0,"-log(sqrt(e^(2*x) - 3) - e^x)","A",0
665,1,15,0,0.498906," ","integrate(exp(x)/(16-exp(2*x)),x, algorithm=""fricas"")","\frac{1}{8} \, \log\left(e^{x} + 4\right) - \frac{1}{8} \, \log\left(e^{x} - 4\right)"," ",0,"1/8*log(e^x + 4) - 1/8*log(e^x - 4)","B",0
666,1,7,0,0.460062," ","integrate(exp(5*x)/(1+exp(10*x)),x, algorithm=""fricas"")","\frac{1}{5} \, \arctan\left(e^{\left(5 \, x\right)}\right)"," ",0,"1/5*arctan(e^(5*x))","A",0
667,1,18,0,0.474704," ","integrate(exp(4*x)/(16+exp(8*x))^(1/2),x, algorithm=""fricas"")","-\frac{1}{4} \, \log\left(\sqrt{e^{\left(8 \, x\right)} + 16} - e^{\left(4 \, x\right)}\right)"," ",0,"-1/4*log(sqrt(e^(8*x) + 16) - e^(4*x))","A",0
668,1,29,0,0.466677," ","integrate(exp(4*x^3)*x^2*cos(7*x^3),x, algorithm=""fricas"")","\frac{4}{195} \, \cos\left(7 \, x^{3}\right) e^{\left(4 \, x^{3}\right)} + \frac{7}{195} \, e^{\left(4 \, x^{3}\right)} \sin\left(7 \, x^{3}\right)"," ",0,"4/195*cos(7*x^3)*e^(4*x^3) + 7/195*e^(4*x^3)*sin(7*x^3)","A",0
669,1,8,0,0.447350," ","integrate(exp(x^2+1)*x,x, algorithm=""fricas"")","\frac{1}{2} \, e^{\left(x^{2} + 1\right)}"," ",0,"1/2*e^(x^2 + 1)","A",0
670,1,8,0,0.448406," ","integrate(exp(x^3+1)*x^2,x, algorithm=""fricas"")","\frac{1}{3} \, e^{\left(x^{3} + 1\right)}"," ",0,"1/3*e^(x^3 + 1)","A",0
671,1,6,0,0.432794," ","integrate(exp(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","2 \, e^{\sqrt{x}}"," ",0,"2*e^sqrt(x)","A",0
672,1,6,0,0.419615," ","integrate(exp(x^(1/3))/x^(2/3),x, algorithm=""fricas"")","3 \, e^{\left(x^{\frac{1}{3}}\right)}"," ",0,"3*e^(x^(1/3))","A",0
673,1,31,0,0.442661," ","integrate(exp(3*x)*(x^5+2*x^3-8),x, algorithm=""fricas"")","\frac{1}{243} \, {\left(81 \, x^{5} - 135 \, x^{4} + 342 \, x^{3} - 342 \, x^{2} + 228 \, x - 724\right)} e^{\left(3 \, x\right)}"," ",0,"1/243*(81*x^5 - 135*x^4 + 342*x^3 - 342*x^2 + 228*x - 724)*e^(3*x)","A",0
674,1,19,0,0.442551," ","integrate((x+exp(x))^2,x, algorithm=""fricas"")","\frac{1}{3} \, x^{3} + 2 \, {\left(x - 1\right)} e^{x} + \frac{1}{2} \, e^{\left(2 \, x\right)}"," ",0,"1/3*x^3 + 2*(x - 1)*e^x + 1/2*e^(2*x)","A",0
675,1,18,0,0.436737," ","integrate((exp(x)+exp(2*x)+exp(3*x))/exp(4*x),x, algorithm=""fricas"")","-\frac{1}{6} \, {\left(6 \, e^{\left(2 \, x\right)} + 3 \, e^{x} + 2\right)} e^{\left(-3 \, x\right)}"," ",0,"-1/6*(6*e^(2*x) + 3*e^x + 2)*e^(-3*x)","A",0
676,1,8,0,0.495839," ","integrate(exp(x)/(1+2*exp(x)+exp(2*x)),x, algorithm=""fricas"")","-\frac{1}{e^{x} + 1}"," ",0,"-1/(e^x + 1)","A",0
677,1,21,0,0.459853," ","integrate(cos(3*x)/exp(x),x, algorithm=""fricas"")","-\frac{1}{10} \, \cos\left(3 \, x\right) e^{\left(-x\right)} + \frac{3}{10} \, e^{\left(-x\right)} \sin\left(3 \, x\right)"," ",0,"-1/10*cos(3*x)*e^(-x) + 3/10*e^(-x)*sin(3*x)","A",0
678,1,15,0,0.470450," ","integrate(exp(2*x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","2 \, \log\left(e^{x} + 2\right) - \log\left(e^{x} + 1\right)"," ",0,"2*log(e^x + 2) - log(e^x + 1)","A",0
679,1,10,0,0.476492," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""fricas"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
680,1,21,0,0.483937," ","integrate(exp(3*x)*cos(5*x),x, algorithm=""fricas"")","\frac{3}{34} \, \cos\left(5 \, x\right) e^{\left(3 \, x\right)} + \frac{5}{34} \, e^{\left(3 \, x\right)} \sin\left(5 \, x\right)"," ",0,"3/34*cos(5*x)*e^(3*x) + 5/34*e^(3*x)*sin(5*x)","A",0
681,1,16,0,0.472170," ","integrate(exp(x)*sech(exp(x)),x, algorithm=""fricas"")","2 \, \arctan\left(\cosh\left(\cosh\left(x\right) + \sinh\left(x\right)\right) + \sinh\left(\cosh\left(x\right) + \sinh\left(x\right)\right)\right)"," ",0,"2*arctan(cosh(cosh(x) + sinh(x)) + sinh(cosh(x) + sinh(x)))","B",0
682,1,24,0,0.484586," ","integrate(1/exp(x)/(1+2*exp(x)),x, algorithm=""fricas"")","-{\left(2 \, x e^{x} - 2 \, e^{x} \log\left(2 \, e^{x} + 1\right) + 1\right)} e^{\left(-x\right)}"," ",0,"-(2*x*e^x - 2*e^x*log(2*e^x + 1) + 1)*e^(-x)","A",0
683,1,21,0,0.498785," ","integrate(exp(x)*cos(4+3*x),x, algorithm=""fricas"")","\frac{1}{10} \, \cos\left(3 \, x + 4\right) e^{x} + \frac{3}{10} \, e^{x} \sin\left(3 \, x + 4\right)"," ",0,"1/10*cos(3*x + 4)*e^x + 3/10*e^x*sin(3*x + 4)","A",0
684,1,52,0,0.523013," ","integrate(exp(x)*sec(-1+exp(x))^3,x, algorithm=""fricas"")","\frac{\cos\left(e^{x} - 1\right)^{2} \log\left(\sin\left(e^{x} - 1\right) + 1\right) - \cos\left(e^{x} - 1\right)^{2} \log\left(-\sin\left(e^{x} - 1\right) + 1\right) + 2 \, \sin\left(e^{x} - 1\right)}{4 \, \cos\left(e^{x} - 1\right)^{2}}"," ",0,"1/4*(cos(e^x - 1)^2*log(sin(e^x - 1) + 1) - cos(e^x - 1)^2*log(-sin(e^x - 1) + 1) + 2*sin(e^x - 1))/cos(e^x - 1)^2","B",0
685,1,18,0,0.448044," ","integrate((exp(-x)+exp(x))*x,x, algorithm=""fricas"")","{\left({\left(x - 1\right)} e^{\left(2 \, x\right)} - x - 1\right)} e^{\left(-x\right)}"," ",0,"((x - 1)*e^(2*x) - x - 1)*e^(-x)","A",0
686,1,13,0,0.461519," ","integrate(exp(x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""fricas"")","-\log\left(e^{x} + 2\right) + \log\left(e^{x} + 1\right)"," ",0,"-log(e^x + 2) + log(e^x + 1)","A",0
687,1,14,0,0.446072," ","integrate(exp(2*x)/(1+exp(x))^(1/3),x, algorithm=""fricas"")","\frac{3}{10} \, {\left(2 \, e^{x} - 3\right)} {\left(e^{x} + 1\right)}^{\frac{2}{3}}"," ",0,"3/10*(2*e^x - 3)*(e^x + 1)^(2/3)","A",0
688,1,14,0,0.467159," ","integrate(exp(2*x)/(1+exp(x))^(1/4),x, algorithm=""fricas"")","\frac{4}{21} \, {\left(3 \, e^{x} - 4\right)} {\left(e^{x} + 1\right)}^{\frac{3}{4}}"," ",0,"4/21*(3*e^x - 4)*(e^x + 1)^(3/4)","A",0
689,1,62,0,0.762883," ","integrate((-exp(x)+2*exp(2*x))/(-1-6*exp(x)+3*exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left({\left(\sqrt{3} e^{x} - \sqrt{3}\right)} \sqrt{3 \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 1} + 3 \, e^{\left(2 \, x\right)} - 6 \, e^{x} + 1\right) + \frac{2}{3} \, \sqrt{3 \, e^{\left(2 \, x\right)} - 6 \, e^{x} - 1}"," ",0,"1/6*sqrt(3)*log((sqrt(3)*e^x - sqrt(3))*sqrt(3*e^(2*x) - 6*e^x - 1) + 3*e^(2*x) - 6*e^x + 1) + 2/3*sqrt(3*e^(2*x) - 6*e^x - 1)","A",0
690,1,11,0,0.721706," ","integrate(exp(x)*(x^2-5*x),x, algorithm=""fricas"")","{\left(x^{2} - 7 \, x + 7\right)} e^{x}"," ",0,"(x^2 - 7*x + 7)*e^x","A",0
691,1,16,0,0.569588," ","integrate(exp(3*x)*(x^2-x),x, algorithm=""fricas"")","\frac{1}{27} \, {\left(9 \, x^{2} - 15 \, x + 5\right)} e^{\left(3 \, x\right)}"," ",0,"1/27*(9*x^2 - 15*x + 5)*e^(3*x)","A",0
692,1,10,0,0.767307," ","integrate(exp(x^x)*x^(2*x)*(1+log(x)),x, algorithm=""fricas"")","{\left(x^{x} - 1\right)} e^{\left(x^{x}\right)}"," ",0,"(x^x - 1)*e^(x^x)","A",0
693,1,6,0,0.837709," ","integrate((exp(5*x)+exp(7*x))/(exp(-x)+exp(x)),x, algorithm=""fricas"")","\frac{1}{6} \, e^{\left(6 \, x\right)}"," ",0,"1/6*e^(6*x)","A",0
694,1,18,0,0.665857," ","integrate(x^(-2-1/x)*(1-log(x)),x, algorithm=""fricas"")","-\frac{x^{2}}{x^{\frac{2 \, x + 1}{x}}}"," ",0,"-x^2/x^((2*x + 1)/x)","A",0
695,1,21,0,0.743656," ","integrate((a+b*exp(x))^2,x, algorithm=""fricas"")","a^{2} x + \frac{1}{2} \, b^{2} e^{\left(2 \, x\right)} + 2 \, a b e^{x}"," ",0,"a^2*x + 1/2*b^2*e^(2*x) + 2*a*b*e^x","A",0
696,1,33,0,0.745579," ","integrate((a+b*exp(x))^3,x, algorithm=""fricas"")","a^{3} x + \frac{1}{3} \, b^{3} e^{\left(3 \, x\right)} + \frac{3}{2} \, a b^{2} e^{\left(2 \, x\right)} + 3 \, a^{2} b e^{x}"," ",0,"a^3*x + 1/3*b^3*e^(3*x) + 3/2*a*b^2*e^(2*x) + 3*a^2*b*e^x","A",0
697,1,45,0,0.922573," ","integrate((a+b*exp(x))^4,x, algorithm=""fricas"")","a^{4} x + \frac{1}{4} \, b^{4} e^{\left(4 \, x\right)} + \frac{4}{3} \, a b^{3} e^{\left(3 \, x\right)} + 3 \, a^{2} b^{2} e^{\left(2 \, x\right)} + 4 \, a^{3} b e^{x}"," ",0,"a^4*x + 1/4*b^4*e^(4*x) + 4/3*a*b^3*e^(3*x) + 3*a^2*b^2*e^(2*x) + 4*a^3*b*e^x","A",0
698,1,83,0,0.721457," ","integrate(1/(a+b*exp(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left({\left(b e^{\left(d x + c\right)} - 2 \, \sqrt{b e^{\left(d x + c\right)} + a} \sqrt{a} + 2 \, a\right)} e^{\left(-d x - c\right)}\right)}{\sqrt{a} d}, \frac{2 \, \sqrt{-a} \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} + a} \sqrt{-a}}{a}\right)}{a d}\right]"," ",0,"[log((b*e^(d*x + c) - 2*sqrt(b*e^(d*x + c) + a)*sqrt(a) + 2*a)*e^(-d*x - c))/(sqrt(a)*d), 2*sqrt(-a)*arctan(sqrt(b*e^(d*x + c) + a)*sqrt(-a)/a)/(a*d)]","A",0
699,1,85,0,0.737123," ","integrate(1/(-a+b*exp(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a} \log\left({\left(b e^{\left(d x + c\right)} - 2 \, \sqrt{b e^{\left(d x + c\right)} - a} \sqrt{-a} - 2 \, a\right)} e^{\left(-d x - c\right)}\right)}{a d}, \frac{2 \, \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} - a}}{\sqrt{a}}\right)}{\sqrt{a} d}\right]"," ",0,"[-sqrt(-a)*log((b*e^(d*x + c) - 2*sqrt(b*e^(d*x + c) - a)*sqrt(-a) - 2*a)*e^(-d*x - c))/(a*d), 2*arctan(sqrt(b*e^(d*x + c) - a)/sqrt(a))/(sqrt(a)*d)]","A",0
700,1,110,0,0.739023," ","integrate((a+b*exp(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{a} \log\left({\left(b e^{\left(d x + c\right)} - 2 \, \sqrt{b e^{\left(d x + c\right)} + a} \sqrt{a} + 2 \, a\right)} e^{\left(-d x - c\right)}\right) + 2 \, \sqrt{b e^{\left(d x + c\right)} + a}}{d}, \frac{2 \, {\left(\sqrt{-a} \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} + a} \sqrt{-a}}{a}\right) + \sqrt{b e^{\left(d x + c\right)} + a}\right)}}{d}\right]"," ",0,"[(sqrt(a)*log((b*e^(d*x + c) - 2*sqrt(b*e^(d*x + c) + a)*sqrt(a) + 2*a)*e^(-d*x - c)) + 2*sqrt(b*e^(d*x + c) + a))/d, 2*(sqrt(-a)*arctan(sqrt(b*e^(d*x + c) + a)*sqrt(-a)/a) + sqrt(b*e^(d*x + c) + a))/d]","A",0
701,1,117,0,0.685174," ","integrate((-a+b*exp(d*x+c))^(1/2),x, algorithm=""fricas"")","\left[\frac{\sqrt{-a} \log\left({\left(b e^{\left(d x + c\right)} - 2 \, \sqrt{b e^{\left(d x + c\right)} - a} \sqrt{-a} - 2 \, a\right)} e^{\left(-d x - c\right)}\right) + 2 \, \sqrt{b e^{\left(d x + c\right)} - a}}{d}, -\frac{2 \, {\left(\sqrt{a} \arctan\left(\frac{\sqrt{b e^{\left(d x + c\right)} - a}}{\sqrt{a}}\right) - \sqrt{b e^{\left(d x + c\right)} - a}\right)}}{d}\right]"," ",0,"[(sqrt(-a)*log((b*e^(d*x + c) - 2*sqrt(b*e^(d*x + c) - a)*sqrt(-a) - 2*a)*e^(-d*x - c)) + 2*sqrt(b*e^(d*x + c) - a))/d, -2*(sqrt(a)*arctan(sqrt(b*e^(d*x + c) - a)/sqrt(a)) - sqrt(b*e^(d*x + c) - a))/d]","A",0
702,1,21,0,0.799203," ","integrate(exp(6*x)*sin(3*x),x, algorithm=""fricas"")","-\frac{1}{15} \, \cos\left(3 \, x\right) e^{\left(6 \, x\right)} + \frac{2}{15} \, e^{\left(6 \, x\right)} \sin\left(3 \, x\right)"," ",0,"-1/15*cos(3*x)*e^(6*x) + 2/15*e^(6*x)*sin(3*x)","A",0
703,1,8,0,1.075705," ","integrate(exp(3*x)/(1+exp(2*x)),x, algorithm=""fricas"")","-\arctan\left(e^{x}\right) + e^{x}"," ",0,"-arctan(e^x) + e^x","A",0
704,1,17,0,0.782572," ","integrate(exp(3*x)/(-1+exp(2*x)),x, algorithm=""fricas"")","e^{x} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"e^x - 1/2*log(e^x + 1) + 1/2*log(e^x - 1)","B",0
705,1,10,0,0.853181," ","integrate(1/exp(x)/(1+exp(2*x))^(1/2),x, algorithm=""fricas"")","-\sqrt{e^{\left(-2 \, x\right)} + 1}"," ",0,"-sqrt(e^(-2*x) + 1)","A",0
706,1,42,0,0.615055," ","integrate(exp(x)/(-1-8*exp(x)+exp(2*x)),x, algorithm=""fricas"")","\frac{1}{34} \, \sqrt{17} \log\left(-\frac{2 \, {\left(\sqrt{17} + 4\right)} e^{x} - 8 \, \sqrt{17} - e^{\left(2 \, x\right)} - 33}{e^{\left(2 \, x\right)} - 8 \, e^{x} - 1}\right)"," ",0,"1/34*sqrt(17)*log(-(2*(sqrt(17) + 4)*e^x - 8*sqrt(17) - e^(2*x) - 33)/(e^(2*x) - 8*e^x - 1))","B",0
707,1,21,0,0.738591," ","integrate(exp(7*x)*x^3,x, algorithm=""fricas"")","\frac{1}{2401} \, {\left(343 \, x^{3} - 147 \, x^{2} + 42 \, x - 6\right)} e^{\left(7 \, x\right)}"," ",0,"1/2401*(343*x^3 - 147*x^2 + 42*x - 6)*e^(7*x)","A",0
708,1,23,0,0.558227," ","integrate(exp(8-2*x)*x^3,x, algorithm=""fricas"")","-\frac{1}{8} \, {\left(4 \, x^{3} + 6 \, x^{2} + 6 \, x + 3\right)} e^{\left(-2 \, x + 8\right)}"," ",0,"-1/8*(4*x^3 + 6*x^2 + 6*x + 3)*e^(-2*x + 8)","A",0
709,1,35,0,0.763092," ","integrate(exp(x)*(9-exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-e^{\left(2 \, x\right)} + 9} e^{x} - 9 \, \arctan\left({\left(\sqrt{-e^{\left(2 \, x\right)} + 9} - 3\right)} e^{\left(-x\right)}\right)"," ",0,"1/2*sqrt(-e^(2*x) + 9)*e^x - 9*arctan((sqrt(-e^(2*x) + 9) - 3)*e^(-x))","A",0
710,1,32,0,0.628071," ","integrate(exp(6*x)*(9-exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{35} \, {\left(5 \, e^{\left(6 \, x\right)} - 9 \, e^{\left(4 \, x\right)} - 108 \, e^{\left(2 \, x\right)} - 1944\right)} \sqrt{-e^{\left(2 \, x\right)} + 9}"," ",0,"1/35*(5*e^(6*x) - 9*e^(4*x) - 108*e^(2*x) - 1944)*sqrt(-e^(2*x) + 9)","A",0
711,1,50,0,0.690289," ","integrate(exp(6*x)/(9-exp(x))^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(e^{\left(5 \, x\right)} + 18 \, e^{\left(4 \, x\right)} + 432 \, e^{\left(3 \, x\right)} + 23328 \, e^{\left(2 \, x\right)} - 839808 \, e^{x} + 5038848\right)} \sqrt{-e^{x} + 9}}{7 \, {\left(e^{\left(2 \, x\right)} - 18 \, e^{x} + 81\right)}}"," ",0,"-2/7*(e^(5*x) + 18*e^(4*x) + 432*e^(3*x) + 23328*e^(2*x) - 839808*e^x + 5038848)*sqrt(-e^x + 9)/(e^(2*x) - 18*e^x + 81)","A",0
712,1,44,0,0.631811," ","integrate((2-7*exp(x^4))^5*x^3,x, algorithm=""fricas"")","8 \, x^{4} - \frac{16807}{20} \, e^{\left(5 \, x^{4}\right)} + \frac{12005}{8} \, e^{\left(4 \, x^{4}\right)} - \frac{3430}{3} \, e^{\left(3 \, x^{4}\right)} + 490 \, e^{\left(2 \, x^{4}\right)} - 140 \, e^{\left(x^{4}\right)}"," ",0,"8*x^4 - 16807/20*e^(5*x^4) + 12005/8*e^(4*x^4) - 3430/3*e^(3*x^4) + 490*e^(2*x^4) - 140*e^(x^4)","A",0
713,1,43,0,0.714228," ","integrate(exp(x^2)*x*(1-exp(2*x^2))^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{-e^{\left(2 \, x^{2}\right)} + 1} e^{\left(x^{2}\right)} - \frac{1}{2} \, \arctan\left({\left(\sqrt{-e^{\left(2 \, x^{2}\right)} + 1} - 1\right)} e^{\left(-x^{2}\right)}\right)"," ",0,"1/4*sqrt(-e^(2*x^2) + 1)*e^(x^2) - 1/2*arctan((sqrt(-e^(2*x^2) + 1) - 1)*e^(-x^2))","A",0
714,1,23,0,0.722214," ","integrate(exp(x^3)*(1-exp(4*x^3))^2*x^2,x, algorithm=""fricas"")","\frac{1}{27} \, e^{\left(9 \, x^{3}\right)} - \frac{2}{15} \, e^{\left(5 \, x^{3}\right)} + \frac{1}{3} \, e^{\left(x^{3}\right)}"," ",0,"1/27*e^(9*x^3) - 2/15*e^(5*x^3) + 1/3*e^(x^3)","A",0
715,1,3,0,0.563166," ","integrate(exp(x+exp(x)),x, algorithm=""fricas"")","e^{\left(e^{x}\right)}"," ",0,"e^(e^x)","A",0
716,1,4,0,0.700967," ","integrate(exp(exp(exp(x))+exp(x)+x),x, algorithm=""fricas"")","e^{\left(e^{\left(e^{x}\right)}\right)}"," ",0,"e^(e^(e^x))","A",0
717,1,19,0,0.640126," ","integrate((exp(-x)+exp(x))^2,x, algorithm=""fricas"")","\frac{1}{2} \, {\left(4 \, x e^{\left(2 \, x\right)} + e^{\left(4 \, x\right)} - 1\right)} e^{\left(-2 \, x\right)}"," ",0,"1/2*(4*x*e^(2*x) + e^(4*x) - 1)*e^(-2*x)","A",0
718,1,3,0,0.790769," ","integrate(1/(exp(-x)+exp(x)),x, algorithm=""fricas"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
719,1,10,0,0.821413," ","integrate(1/(exp(-x)+exp(x))^2,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(e^{\left(2 \, x\right)} + 1\right)}}"," ",0,"-1/2/(e^(2*x) + 1)","A",0
720,1,15,0,0.869807," ","integrate(1/(-1/exp(x)+exp(x)),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left(e^{x} - 1\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(e^x - 1)","B",0
721,1,10,0,0.782251," ","integrate(1/(-1/exp(x)+exp(x))^2,x, algorithm=""fricas"")","-\frac{1}{2 \, {\left(e^{\left(2 \, x\right)} - 1\right)}}"," ",0,"-1/2/(e^(2*x) - 1)","A",0
722,1,18,0,1.024382," ","integrate(exp(x)*(-1/exp(x)+exp(x))^2,x, algorithm=""fricas"")","\frac{1}{3} \, {\left(e^{\left(4 \, x\right)} - 6 \, e^{\left(2 \, x\right)} - 3\right)} e^{\left(-x\right)}"," ",0,"1/3*(e^(4*x) - 6*e^(2*x) - 3)*e^(-x)","A",0
723,1,25,0,0.615800," ","integrate(exp(x)*(-1/exp(x)+exp(x))^3,x, algorithm=""fricas"")","\frac{1}{4} \, {\left(12 \, x e^{\left(2 \, x\right)} + e^{\left(6 \, x\right)} - 6 \, e^{\left(4 \, x\right)} + 2\right)} e^{\left(-2 \, x\right)}"," ",0,"1/4*(12*x*e^(2*x) + e^(6*x) - 6*e^(4*x) + 2)*e^(-2*x)","A",0
724,1,21,0,0.723537," ","integrate((1+4^x)/(1+2^x),x, algorithm=""fricas"")","\frac{x \log\left(2\right) + 2^{x} - 2 \, \log\left(2^{x} + 1\right)}{\log\left(2\right)}"," ",0,"(x*log(2) + 2^x - 2*log(2^x + 1))/log(2)","A",0
725,1,25,0,0.825191," ","integrate((1+4^x)/(1+1/(2^x)),x, algorithm=""fricas"")","\frac{2^{2 \, x} - 2 \cdot 2^{x} + 4 \, \log\left(2^{x} + 1\right)}{2 \, \log\left(2\right)}"," ",0,"1/2*(2^(2*x) - 2*2^x + 4*log(2^x + 1))/log(2)","A",0
726,1,28,0,0.526676," ","integrate(exp((a+x)^2)/x^2-2*a*exp((a+x)^2)/x,x, algorithm=""fricas"")","\frac{\sqrt{\pi} x \operatorname{erfi}\left(a + x\right) - e^{\left(a^{2} + 2 \, a x + x^{2}\right)}}{x}"," ",0,"(sqrt(pi)*x*erfi(a + x) - e^(a^2 + 2*a*x + x^2))/x","A",0
727,1,35,0,0.647166," ","integrate((x^8+x^6+x^4)/exp(x^2),x, algorithm=""fricas"")","-\frac{1}{16} \, {\left(8 \, x^{7} + 36 \, x^{5} + 98 \, x^{3} + 147 \, x\right)} e^{\left(-x^{2}\right)} + \frac{147}{32} \, \sqrt{\pi} \operatorname{erf}\left(x\right)"," ",0,"-1/16*(8*x^7 + 36*x^5 + 98*x^3 + 147*x)*e^(-x^2) + 147/32*sqrt(pi)*erf(x)","A",0
728,1,25,0,0.739268," ","integrate(1/(-exp(x)+exp(3*x)),x, algorithm=""fricas"")","-\frac{1}{2} \, {\left(e^{x} \log\left(e^{x} + 1\right) - e^{x} \log\left(e^{x} - 1\right) - 2\right)} e^{\left(-x\right)}"," ",0,"-1/2*(e^x*log(e^x + 1) - e^x*log(e^x - 1) - 2)*e^(-x)","B",0
729,1,11,0,0.751450," ","integrate(exp(x)*(x^2+x-5)/(-1+x)^2,x, algorithm=""fricas"")","\frac{{\left(x + 2\right)} e^{x}}{x - 1}"," ",0,"(x + 2)*e^x/(x - 1)","A",0
730,1,13,0,0.687750," ","integrate(exp(x^2)*x^3/(x^2+1)^2,x, algorithm=""fricas"")","\frac{e^{\left(x^{2}\right)}}{2 \, {\left(x^{2} + 1\right)}}"," ",0,"1/2*e^(x^2)/(x^2 + 1)","A",0
731,1,33,0,0.612016," ","integrate(exp(3*x)/(25+16*exp(2*x))^(1/2),x, algorithm=""fricas"")","\frac{1}{32} \, \sqrt{16 \, e^{\left(2 \, x\right)} + 25} e^{x} + \frac{25}{128} \, \log\left(\sqrt{16 \, e^{\left(2 \, x\right)} + 25} - 4 \, e^{x}\right)"," ",0,"1/32*sqrt(16*e^(2*x) + 25)*e^x + 25/128*log(sqrt(16*e^(2*x) + 25) - 4*e^x)","A",0
732,-2,0,0,0.000000," ","integrate((1+exp(x))/(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
733,1,5,0,0.619124," ","integrate((1+exp(x))/(x+exp(x)),x, algorithm=""fricas"")","\log\left(x + e^{x}\right)"," ",0,"log(x + e^x)","A",0
734,1,18,0,0.642009," ","integrate(exp(x^2)/x^2,x, algorithm=""fricas"")","\frac{\sqrt{\pi} x \operatorname{erfi}\left(x\right) - e^{\left(x^{2}\right)}}{x}"," ",0,"(sqrt(pi)*x*erfi(x) - e^(x^2))/x","A",0
735,1,15,0,0.604013," ","integrate(exp(x^2)*(4*x^4+1)/x^2,x, algorithm=""fricas"")","\frac{{\left(2 \, x^{2} - 1\right)} e^{\left(x^{2}\right)}}{x}"," ",0,"(2*x^2 - 1)*e^(x^2)/x","A",0
736,-2,0,0,0.000000," ","integrate((b*x+a)^2*(f^x)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
737,1,13,0,0.570488," ","integrate(3^(x^2+1)*x,x, algorithm=""fricas"")","\frac{3^{x^{2} + 1}}{2 \, \log\left(3\right)}"," ",0,"1/2*3^(x^2 + 1)/log(3)","A",0
738,1,11,0,0.551389," ","integrate(2^(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","\frac{2 \cdot 2^{\left(\sqrt{x}\right)}}{\log\left(2\right)}"," ",0,"2*2^sqrt(x)/log(2)","A",0
739,1,11,0,0.751871," ","integrate(2^(1/x)/x^2,x, algorithm=""fricas"")","-\frac{2^{\left(\frac{1}{x}\right)}}{\log\left(2\right)}"," ",0,"-2^(1/x)/log(2)","A",0
740,1,17,0,0.781262," ","integrate(1/(2^x)+2^x,x, algorithm=""fricas"")","\frac{2^{2 \, x} - 1}{2^{x} \log\left(2\right)}"," ",0,"(2^(2*x) - 1)/(2^x*log(2))","A",0
741,1,16,0,0.736555," ","integrate((x^2-3*x+2)/exp(4*x),x, algorithm=""fricas"")","-\frac{1}{32} \, {\left(8 \, x^{2} - 20 \, x + 11\right)} e^{\left(-4 \, x\right)}"," ",0,"-1/32*(8*x^2 - 20*x + 11)*e^(-4*x)","A",0
742,1,40,0,0.691270," ","integrate(k^(1/2*x)+x^(k^(1/2)),x, algorithm=""fricas"")","\frac{2 \, {\left(k - 1\right)} k^{\frac{1}{2} \, x} + {\left(\sqrt{k} x \log\left(k\right) - x \log\left(k\right)\right)} x^{\left(\sqrt{k}\right)}}{{\left(k - 1\right)} \log\left(k\right)}"," ",0,"(2*(k - 1)*k^(1/2*x) + (sqrt(k)*x*log(k) - x*log(k))*x^sqrt(k))/((k - 1)*log(k))","A",0
743,1,11,0,0.655237," ","integrate(10^(x^(1/2))/x^(1/2),x, algorithm=""fricas"")","\frac{2 \cdot 10^{\left(\sqrt{x}\right)}}{\log\left(10\right)}"," ",0,"2*10^sqrt(x)/log(10)","A",0
744,-2,0,0,0.000000," ","integrate(exp(x)/(x+exp(x))^(1/2)+1/(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
745,-2,0,0,0.000000," ","integrate((1+exp(x))*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
746,-2,0,0,0.000000," ","integrate(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
747,-2,0,0,0.000000," ","integrate((1+exp(x))*x/(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
748,-2,0,0,0.000000," ","integrate(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
749,-2,0,0,0.000000," ","integrate(exp(x)*x/(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
750,-2,0,0,0.000000," ","integrate(1/5*x^2*(5*exp(x)+3*x^2)/(5*exp(x)+x^3)^(1/2)+4/5*x*(5*exp(x)+x^3)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
751,-2,0,0,0.000000," ","integrate(exp(x)*x^2/(5*exp(x)+x^3)^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
752,-2,0,0,0.000000," ","integrate((-1-exp(x))/(x+exp(x))^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
753,-2,0,0,0.000000," ","integrate(-1/(x+exp(x))^(1/3)+x/(x+exp(x))^(1/3)-(x+exp(x))^(2/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
754,-2,0,0,0.000000," ","integrate(x/(x+exp(x))^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
755,-2,0,0,0.000000," ","integrate((5*x+exp(x)*(3+2*x))/(x+exp(x))^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
756,-2,0,0,0.000000," ","integrate(2*x/(x+exp(x))^(1/3)+2*exp(x)*x/(x+exp(x))^(1/3)+3*(x+exp(x))^(2/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
757,1,27,0,0.603425," ","integrate(exp(x)*(-1/exp(x)+exp(x))*(exp(-x)+exp(x))^2,x, algorithm=""fricas"")","-\frac{1}{4} \, {\left(4 \, x e^{\left(2 \, x\right)} - e^{\left(6 \, x\right)} - 2 \, e^{\left(4 \, x\right)} - 2\right)} e^{\left(-2 \, x\right)}"," ",0,"-1/4*(4*x*e^(2*x) - e^(6*x) - 2*e^(4*x) - 2)*e^(-2*x)","A",0
758,0,0,0,0.746344," ","integrate(x/(x+exp(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{x}{x + e^{x}}, x\right)"," ",0,"integral(x/(x + e^x), x)","F",0
759,-2,0,0,0.000000," ","integrate(x^2/(x+exp(x))^(1/2),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (constant residues)","F(-2)",0
760,0,0,0,0.663701," ","integrate(exp(x)/(x+exp(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{x}}{x + e^{x}}, x\right)"," ",0,"integral(e^x/(x + e^x), x)","F",0
761,0,0,0,0.492212," ","integrate(exp(x)/(exp(x)+x^2),x, algorithm=""fricas"")","{\rm integral}\left(\frac{e^{x}}{x^{2} + e^{x}}, x\right)"," ",0,"integral(e^x/(x^2 + e^x), x)","F",0
762,0,0,0,0.518890," ","integrate(F0(x)/(x+F0(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F_{0}\left(x\right)}{x + F_{0}\left(x\right)}, x\right)"," ",0,"integral(F0(x)/(x + F0(x)), x)","F",0
763,0,0,0,0.630638," ","integrate(F0(x)/(x^2+F0(x)),x, algorithm=""fricas"")","{\rm integral}\left(\frac{F_{0}\left(x\right)}{x^{2} + F_{0}\left(x\right)}, x\right)"," ",0,"integral(F0(x)/(x^2 + F0(x)), x)","F",0
764,0,0,0,0.588470," ","integrate(F0(x)/(x+F0(x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F_{0}\left(x\right)}{x^{2} + 2 \, x F_{0}\left(x\right) + F_{0}\left(x\right)^{2}}, x\right)"," ",0,"integral(F0(x)/(x^2 + 2*x*F0(x) + F0(x)^2), x)","F",0
765,0,0,0,0.603741," ","integrate(F0(x)/(x^2+F0(x))^2,x, algorithm=""fricas"")","{\rm integral}\left(\frac{F_{0}\left(x\right)}{x^{4} + 2 \, x^{2} F_{0}\left(x\right) + F_{0}\left(x\right)^{2}}, x\right)"," ",0,"integral(F0(x)/(x^4 + 2*x^2*F0(x) + F0(x)^2), x)","F",0
766,1,46,0,0.577127," ","integrate((a*F^(d*x+c))^m*(b*F^(f*x+e))^n,x, algorithm=""fricas"")","\frac{e^{\left({\left(d m x + c m\right)} \log\left(F\right) + {\left(f n x + e n\right)} \log\left(F\right) + m \log\left(a\right) + n \log\left(b\right)\right)}}{{\left(d m + f n\right)} \log\left(F\right)}"," ",0,"e^((d*m*x + c*m)*log(F) + (f*n*x + e*n)*log(F) + m*log(a) + n*log(b))/((d*m + f*n)*log(F))","A",0
767,0,0,0,0.624667," ","integrate(exp(a+c+b*x^n+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(e^{\left({\left(b + d\right)} x^{n} + a + c\right)}, x\right)"," ",0,"integral(e^((b + d)*x^n + a + c), x)","F",0
768,0,0,0,0.670382," ","integrate(f^(a+b*x^n)*g^(c+d*x^n),x, algorithm=""fricas"")","{\rm integral}\left(f^{b x^{n} + a} g^{d x^{n} + c}, x\right)"," ",0,"integral(f^(b*x^n + a)*g^(d*x^n + c), x)","F",0
769,0,0,0,0.751413," ","integrate(exp(x^n)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(x^{m} e^{\left(x^{n}\right)}, x\right)"," ",0,"integral(x^m*e^(x^n), x)","F",0
770,0,0,0,0.655206," ","integrate(f^(x^n)*x^m,x, algorithm=""fricas"")","{\rm integral}\left(f^{\left(x^{n}\right)} x^{m}, x\right)"," ",0,"integral(f^(x^n)*x^m, x)","F",0
771,0,0,0,0.573242," ","integrate(exp((b*x+a)^n)*(b*x+a)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{m} e^{\left({\left(b x + a\right)}^{n}\right)}, x\right)"," ",0,"integral((b*x + a)^m*e^((b*x + a)^n), x)","F",0
772,0,0,0,0.549484," ","integrate(f^((b*x+a)^n)*(b*x+a)^m,x, algorithm=""fricas"")","{\rm integral}\left({\left(b x + a\right)}^{m} f^{\left({\left(b x + a\right)}^{n}\right)}, x\right)"," ",0,"integral((b*x + a)^m*f^((b*x + a)^n), x)","F",0
773,1,89,0,0.868752," ","integrate(exp((b*x+a)^3)*x,x, algorithm=""fricas"")","-\frac{\left(-b^{3}\right)^{\frac{2}{3}} a \Gamma\left(\frac{1}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right) - \left(-b^{3}\right)^{\frac{1}{3}} b \Gamma\left(\frac{2}{3}, -b^{3} x^{3} - 3 \, a b^{2} x^{2} - 3 \, a^{2} b x - a^{3}\right)}{3 \, b^{4}}"," ",0,"-1/3*((-b^3)^(2/3)*a*gamma(1/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3) - (-b^3)^(1/3)*b*gamma(2/3, -b^3*x^3 - 3*a*b^2*x^2 - 3*a^2*b*x - a^3))/b^4","A",0
774,-2,0,0,0.000000," ","integrate((5*x^2+3*(x+exp(x))^(1/3)+exp(x)*(2*x^2+3*x))/x/(x+exp(x))^(1/3),x, algorithm=""fricas"")","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError >>  Error detected within library code:   integrate: implementation incomplete (has polynomial part)","F(-2)",0
