1,1,10,9,0.004000," ","int(exp(x)/(4+6*exp(x)),x)","\frac{\ln \left(3 \,{\mathrm e}^{x}+2\right)}{6}"," ",0,"1/6*ln(2+3*exp(x))","A"
2,1,12,11,0.003000," ","int(exp(x)/(b*exp(x)+a),x)","\frac{\ln \left(b \,{\mathrm e}^{x}+a \right)}{b}"," ",0,"ln(b*exp(x)+a)/b","A"
3,1,23,22,0.010000," ","int(exp(d*x)/(b*exp(d*x+c)+a),x)","\frac{{\mathrm e}^{-c} \ln \left(b \,{\mathrm e}^{c} {\mathrm e}^{d x}+a \right)}{b d}"," ",0,"1/d*ln(b*exp(d*x)*exp(c)+a)/b/exp(c)","A"
4,1,19,18,0.003000," ","int(exp(d*x+c)/(b*exp(d*x+c)+a),x)","\frac{\ln \left(b \,{\mathrm e}^{d x +c}+a \right)}{b d}"," ",0,"ln(b*exp(d*x+c)+a)/b/d","A"
5,1,20,19,0.003000," ","int(exp(x)*(b*exp(x)+a)^n,x)","\frac{\left(b \,{\mathrm e}^{x}+a \right)^{n +1}}{\left(n +1\right) b}"," ",0,"(b*exp(x)+a)^(n+1)/b/(n+1)","A"
6,1,31,30,0.011000," ","int(exp(d*x)*(b*exp(d*x+c)+a)^n,x)","\frac{\left(b \,{\mathrm e}^{c} {\mathrm e}^{d x}+a \right)^{n +1} {\mathrm e}^{-c}}{\left(n +1\right) b d}"," ",0,"1/d*(b*exp(c)*exp(d*x)+a)^(n+1)/b/exp(c)/(n+1)","A"
7,1,27,26,0.003000," ","int(exp(d*x+c)*(b*exp(d*x+c)+a)^n,x)","\frac{\left(b \,{\mathrm e}^{d x +c}+a \right)^{n +1}}{\left(n +1\right) b d}"," ",0,"(b*exp(d*x+c)+a)^(n+1)/b/d/(n+1)","A"
8,1,17,16,0.003000," ","int(F^x/(a+b*F^x),x)","\frac{\ln \left(b \,F^{x}+a \right)}{b \ln \left(F \right)}"," ",0,"ln(a+b*F^x)/b/ln(F)","A"
9,1,33,28,0.026000," ","int(F^(d*x)/(b*F^(d*x+c)+a),x)","\frac{F^{-c} \ln \left(b \,{\mathrm e}^{c \ln \left(F \right)} {\mathrm e}^{d x \ln \left(F \right)}+a \right)}{b d \ln \left(F \right)}"," ",0,"1/(F^c)/b/ln(F)/d*ln(a+b*exp(c*ln(F))*exp(d*ln(F)*x))","A"
10,1,24,23,0.003000," ","int(F^(d*x+c)/(b*F^(d*x+c)+a),x)","\frac{\ln \left(b \,F^{d x +c}+a \right)}{b d \ln \left(F \right)}"," ",0,"1/b/d/ln(F)*ln(b*F^(d*x+c)+a)","A"
11,1,25,24,0.004000," ","int(F^x*(b*F^x+a)^n,x)","\frac{\left(b \,F^{x}+a \right)^{n +1}}{\left(n +1\right) b \ln \left(F \right)}"," ",0,"(b*F^x+a)^(n+1)/b/(n+1)/ln(F)","A"
12,1,81,36,0.043000," ","int(F^(d*x)*(b*F^(d*x+c)+a)^n,x)","\frac{a \,F^{-c} {\mathrm e}^{n \ln \left(b \,{\mathrm e}^{c \ln \left(F \right)} {\mathrm e}^{d x \ln \left(F \right)}+a \right)}}{\left(n +1\right) b d \ln \left(F \right)}+\frac{{\mathrm e}^{n \ln \left(b \,{\mathrm e}^{c \ln \left(F \right)} {\mathrm e}^{d x \ln \left(F \right)}+a \right)} {\mathrm e}^{d x \ln \left(F \right)}}{\left(n +1\right) d \ln \left(F \right)}"," ",0,"1/ln(F)/d/(n+1)*exp(d*x*ln(F))*exp(n*ln(b*exp(c*ln(F))*exp(d*x*ln(F))+a))+1/(F^c)/ln(F)/b/d/(n+1)*a*exp(n*ln(b*exp(c*ln(F))*exp(d*x*ln(F))+a))","B"
13,1,32,31,0.003000," ","int(F^(d*x+c)*(b*F^(d*x+c)+a)^n,x)","\frac{\left(b \,F^{d x +c}+a \right)^{n +1}}{\left(n +1\right) b d \ln \left(F \right)}"," ",0,"(b*F^(d*x+c)+a)^(n+1)/b/d/(n+1)/ln(F)","A"
14,1,25,24,0.002000," ","int(exp(x)^n*(a+b*exp(x)^n)^p,x)","\frac{\left(b \left({\mathrm e}^{x}\right)^{n}+a \right)^{p +1}}{\left(p +1\right) b n}"," ",0,"(a+b*exp(x)^n)^(p+1)/b/n/(p+1)","A"
15,1,52,34,0.026000," ","int(exp(n*x)*(b*exp(x)^n+a)^p,x)","\frac{{\mathrm e}^{n x} {\mathrm e}^{p \ln \left(b \,{\mathrm e}^{n x}+a \right)}}{\left(p +1\right) n}+\frac{a \,{\mathrm e}^{p \ln \left(b \,{\mathrm e}^{n x}+a \right)}}{\left(p +1\right) b n}"," ",0,"1/n/(p+1)*exp(n*x)*exp(p*ln(a+b*exp(n*x)))+a/b/n/(p+1)*exp(p*ln(a+b*exp(n*x)))","A"
16,1,42,41,0.014000," ","int((F^(e*(d*x+c)))^n*(a+b*(F^(e*(d*x+c)))^n)^p,x)","\frac{\left(b \left(F^{\left(d x +c \right) e}\right)^{n}+a \right)^{p +1}}{\left(p +1\right) b d e n \ln \left(F \right)}"," ",0,"(a+b*(F^(e*(d*x+c)))^n)^(p+1)/b/d/e/n/(p+1)/ln(F)","A"
17,0,0,80,0.741000," ","int((b*(F^((d*x+c)*e))^n+a)^p*(G^(h*(g*x+f)))^(d*e*n*ln(F)/g/h/ln(G)),x)","\int \left(G^{\left(g x +f \right) h}\right)^{\frac{d e n \ln \left(F \right)}{g h \ln \left(G \right)}} \left(b \left(F^{\left(d x +c \right) e}\right)^{n}+a \right)^{p}\, dx"," ",0,"int((b*(F^((d*x+c)*e))^n+a)^p*(G^(h*(g*x+f)))^(d*e*n*ln(F)/g/h/ln(G)),x)","F"
18,1,21,20,0.011000," ","int(exp(2*x)/(b*exp(x)+a),x)","-\frac{a \ln \left(b \,{\mathrm e}^{x}+a \right)}{b^{2}}+\frac{{\mathrm e}^{x}}{b}"," ",0,"exp(x)/b-a*ln(b*exp(x)+a)/b^2","A"
19,1,26,25,0.016000," ","int(exp(2*x)/(b*exp(x)+a)^2,x)","\frac{a}{\left(b \,{\mathrm e}^{x}+a \right) b^{2}}+\frac{\ln \left(b \,{\mathrm e}^{x}+a \right)}{b^{2}}"," ",0,"a/b^2/(b*exp(x)+a)+ln(b*exp(x)+a)/b^2","A"
20,1,29,17,0.016000," ","int(exp(2*x)/(b*exp(x)+a)^3,x)","\frac{a}{2 \left(b \,{\mathrm e}^{x}+a \right)^{2} b^{2}}-\frac{1}{\left(b \,{\mathrm e}^{x}+a \right) b^{2}}"," ",0,"-1/b^2/(b*exp(x)+a)+1/2*a/b^2/(b*exp(x)+a)^2","A"
21,1,29,28,0.016000," ","int(exp(2*x)/(b*exp(x)+a)^4,x)","\frac{a}{3 \left(b \,{\mathrm e}^{x}+a \right)^{3} b^{2}}-\frac{1}{2 \left(b \,{\mathrm e}^{x}+a \right)^{2} b^{2}}"," ",0,"1/3*a/b^2/(b*exp(x)+a)^3-1/2/b^2/(b*exp(x)+a)^2","A"
22,1,26,25,0.013000," ","int(exp(4*x)/(a+b*exp(2*x)),x)","-\frac{a \ln \left(b \,{\mathrm e}^{2 x}+a \right)}{2 b^{2}}+\frac{{\mathrm e}^{2 x}}{2 b}"," ",0,"1/2/b*exp(x)^2-1/2*a/b^2*ln(a+b*exp(x)^2)","A"
23,1,32,31,0.018000," ","int(exp(4*x)/(b*exp(2*x)+a)^2,x)","\frac{a}{2 \left(b \,{\mathrm e}^{2 x}+a \right) b^{2}}+\frac{\ln \left(b \,{\mathrm e}^{2 x}+a \right)}{2 b^{2}}"," ",0,"1/2*a/b^2/(a+b*exp(x)^2)+1/2/b^2*ln(a+b*exp(x)^2)","A"
24,1,33,19,0.020000," ","int(exp(4*x)/(b*exp(2*x)+a)^3,x)","\frac{a}{4 \left(b \,{\mathrm e}^{2 x}+a \right)^{2} b^{2}}-\frac{1}{2 \left(b \,{\mathrm e}^{2 x}+a \right) b^{2}}"," ",0,"-1/2/b^2/(a+b*exp(x)^2)+1/4*a/b^2/(a+b*exp(x)^2)^2","A"
25,1,33,32,0.020000," ","int(exp(4*x)/(b*exp(2*x)+a)^4,x)","\frac{a}{6 \left(b \,{\mathrm e}^{2 x}+a \right)^{3} b^{2}}-\frac{1}{4 \left(b \,{\mathrm e}^{2 x}+a \right)^{2} b^{2}}"," ",0,"1/6*a/b^2/(a+b*exp(x)^2)^3-1/4/b^2/(a+b*exp(x)^2)^2","A"
26,1,27,32,0.025000," ","int(exp(4*x)/(b*exp(2*x)+a)^(2/3),x)","-\frac{3 \left(b \,{\mathrm e}^{2 x}+a \right)^{\frac{1}{3}} \left(-b \,{\mathrm e}^{2 x}+3 a \right)}{8 b^{2}}"," ",0,"-3/8*(b*exp(2*x)+a)^(1/3)*(-b*exp(2*x)+3*a)/b^2","A"
27,1,24,16,0.011000," ","int((b*exp(n*x)+a)/exp(n*x),x)","-\frac{a \,{\mathrm e}^{-n x}}{n}+\frac{b \ln \left({\mathrm e}^{n x}\right)}{n}"," ",0,"-a/exp(n*x)/n+1/n*b*ln(exp(n*x))","A"
28,1,39,31,0.009000," ","int((b*exp(n*x)+a)^2/exp(n*x),x)","-\frac{a^{2} {\mathrm e}^{-n x}}{n}+\frac{2 a b \ln \left({\mathrm e}^{n x}\right)}{n}+\frac{b^{2} {\mathrm e}^{n x}}{n}"," ",0,"b^2*exp(n*x)/n-a^2/exp(n*x)/n+2/n*a*b*ln(exp(n*x))","A"
29,1,57,48,0.010000," ","int((b*exp(n*x)+a)^3/exp(n*x),x)","-\frac{a^{3} {\mathrm e}^{-n x}}{n}+\frac{3 a^{2} b \ln \left({\mathrm e}^{n x}\right)}{n}+\frac{3 a \,b^{2} {\mathrm e}^{n x}}{n}+\frac{b^{3} {\mathrm e}^{2 n x}}{2 n}"," ",0,"1/2/n*b^3*exp(n*x)^2+3*a*b^2*exp(n*x)/n-a^3/exp(n*x)/n+3/n*b*a^2*ln(exp(n*x))","A"
30,1,47,39,0.013000," ","int(1/exp(n*x)/(b*exp(n*x)+a),x)","-\frac{{\mathrm e}^{-n x}}{a n}+\frac{b \ln \left(b \,{\mathrm e}^{n x}+a \right)}{a^{2} n}-\frac{b \ln \left({\mathrm e}^{n x}\right)}{a^{2} n}"," ",0,"-1/a/exp(n*x)/n-1/n/a^2*b*ln(exp(n*x))+b*ln(b*exp(n*x)+a)/a^2/n","A"
31,1,67,59,0.014000," ","int(1/exp(n*x)/(b*exp(n*x)+a)^2,x)","-\frac{b}{\left(b \,{\mathrm e}^{n x}+a \right) a^{2} n}-\frac{{\mathrm e}^{-n x}}{a^{2} n}+\frac{2 b \ln \left(b \,{\mathrm e}^{n x}+a \right)}{a^{3} n}-\frac{2 b \ln \left({\mathrm e}^{n x}\right)}{a^{3} n}"," ",0,"-1/a^2/exp(n*x)/n-2/n/a^3*b*ln(exp(n*x))-b/a^2/(b*exp(n*x)+a)/n+2*b*ln(b*exp(n*x)+a)/a^3/n","A"
32,1,86,78,0.012000," ","int(1/exp(n*x)/(b*exp(n*x)+a)^3,x)","-\frac{b}{2 \left(b \,{\mathrm e}^{n x}+a \right)^{2} a^{2} n}-\frac{2 b}{\left(b \,{\mathrm e}^{n x}+a \right) a^{3} n}-\frac{{\mathrm e}^{-n x}}{a^{3} n}+\frac{3 b \ln \left(b \,{\mathrm e}^{n x}+a \right)}{a^{4} n}-\frac{3 b \ln \left({\mathrm e}^{n x}\right)}{a^{4} n}"," ",0,"-1/a^3/exp(n*x)/n-3/n/a^4*b*ln(exp(n*x))-1/2*b/a^2/(b*exp(n*x)+a)^2/n+3*b*ln(b*exp(n*x)+a)/a^4/n-2*b/a^3/(b*exp(n*x)+a)/n","A"
33,1,91,38,0.076000," ","int(f^(b*x+a)/(c+d*f^(2*b*x+e)),x)","-\frac{f^{a} \ln \left(-\frac{c \,f^{a}}{\sqrt{-c d \,f^{e}}}+f^{b x +a}\right)}{2 \sqrt{-c d \,f^{e}}\, b \ln \left(f \right)}+\frac{f^{a} \ln \left(\frac{c \,f^{a}}{\sqrt{-c d \,f^{e}}}+f^{b x +a}\right)}{2 \sqrt{-c d \,f^{e}}\, b \ln \left(f \right)}"," ",0,"-1/2/(-f^e*c*d)^(1/2)*f^a/b/ln(f)*ln(f^(b*x+a)-1/(-f^e*c*d)^(1/2)*f^a*c)+1/2/(-f^e*c*d)^(1/2)*f^a/b/ln(f)*ln(f^(b*x+a)+1/(-f^e*c*d)^(1/2)*f^a*c)","B"
34,1,47,32,0.029000," ","int(f^(2*b*x+a)/(c+d*f^(2*b*x+e)),x)","\frac{f^{a} f^{-e} \ln \left(d \,{\mathrm e}^{\left(2 b x +a \right) \ln \left(f \right)} {\mathrm e}^{-a \ln \left(f \right)+e \ln \left(f \right)}+c \right)}{2 b d \ln \left(f \right)}"," ",0,"1/2/(f^e)/d/ln(f)/b*f^a*ln(c+d*exp(-ln(f)*a+ln(f)*e)*exp((2*b*x+a)*ln(f)))","A"
35,1,171,61,0.097000," ","int(f^(3*b*x+a)/(c+d*f^(2*b*x+e)),x)","\frac{f^{\frac{2 a}{3}} f^{-e} f^{b x +\frac{a}{3}}}{b d \ln \left(f \right)}+\frac{\sqrt{-c d}\, f^{a} f^{-\frac{3 e}{2}} \ln \left(-\frac{\sqrt{-c d}\, f^{\frac{a}{3}} f^{-\frac{e}{2}}}{d}+f^{b x +\frac{a}{3}}\right)}{2 b \,d^{2} \ln \left(f \right)}-\frac{\sqrt{-c d}\, f^{a} f^{-\frac{3 e}{2}} \ln \left(\frac{\sqrt{-c d}\, f^{\frac{a}{3}} f^{-\frac{e}{2}}}{d}+f^{b x +\frac{a}{3}}\right)}{2 b \,d^{2} \ln \left(f \right)}"," ",0,"1/(f^(1/2*e))^2/(f^(-1/3*a))^2/d/ln(f)/b*f^(b*x+1/3*a)+1/2/d^2*(-c*d)^(1/2)/b/(f^(-1/3*a))^3/(f^(1/2*e))^3/ln(f)*ln(f^(b*x+1/3*a)-1/(f^(1/2*e))/(f^(-1/3*a))/d*(-c*d)^(1/2))-1/2/d^2*(-c*d)^(1/2)/b/(f^(-1/3*a))^3/(f^(1/2*e))^3/ln(f)*ln(f^(b*x+1/3*a)+1/(f^(1/2*e))/(f^(-1/3*a))/d*(-c*d)^(1/2))","B"
36,1,76,57,0.038000," ","int(f^(4*b*x+a)/(c+d*f^(2*b*x+e)),x)","-\frac{c \,f^{a} f^{-2 e} \ln \left(d \,{\mathrm e}^{\left(2 b x +e \right) \ln \left(f \right)}+c \right)}{2 b \,d^{2} \ln \left(f \right)}+\frac{f^{a} f^{-2 e} {\mathrm e}^{\left(2 b x +e \right) \ln \left(f \right)}}{2 b d \ln \left(f \right)}"," ",0,"1/2/(f^e)^2/ln(f)/b/d*(f^(1/2*a))^2*exp((2*b*x+e)*ln(f))-1/2/ln(f)/b/d^2*c/(f^e)^2*(f^(1/2*a))^2*ln(c+d*exp((2*b*x+e)*ln(f)))","A"
37,1,212,85,0.096000," ","int(f^(5*b*x+a)/(c+d*f^(2*b*x+e)),x)","-\frac{c \,f^{\frac{4 a}{5}} f^{-2 e} f^{b x +\frac{a}{5}}}{b \,d^{2} \ln \left(f \right)}+\frac{f^{\frac{2 a}{5}} f^{-e} f^{3 b x +\frac{3 a}{5}}}{3 b d \ln \left(f \right)}-\frac{\sqrt{-c d}\, c \,f^{a} f^{-\frac{5 e}{2}} \ln \left(-\frac{\sqrt{-c d}\, f^{\frac{a}{5}} f^{-\frac{e}{2}}}{d}+f^{b x +\frac{a}{5}}\right)}{2 b \,d^{3} \ln \left(f \right)}+\frac{\sqrt{-c d}\, c \,f^{a} f^{-\frac{5 e}{2}} \ln \left(\frac{\sqrt{-c d}\, f^{\frac{a}{5}} f^{-\frac{e}{2}}}{d}+f^{b x +\frac{a}{5}}\right)}{2 b \,d^{3} \ln \left(f \right)}"," ",0,"1/3/(f^(1/2*e))^2/(f^(-1/5*a))^2/d/ln(f)/b*(f^(b*x+1/5*a))^3-c/(f^(1/2*e))^4/(f^(-1/5*a))^4/d^2/ln(f)/b*f^(b*x+1/5*a)+1/2/d^3*(-c*d)^(1/2)*c/b/(f^(-1/5*a))^5/(f^(1/2*e))^5/ln(f)*ln(f^(b*x+1/5*a)+1/(f^(1/2*e))/(f^(-1/5*a))/d*(-c*d)^(1/2))-1/2/d^3*(-c*d)^(1/2)*c/b/(f^(-1/5*a))^5/(f^(1/2*e))^5/ln(f)*ln(f^(b*x+1/5*a)-1/(f^(1/2*e))/(f^(-1/5*a))/d*(-c*d)^(1/2))","B"
38,1,4,3,0.012000," ","int(exp(x)/(1+exp(2*x)),x)","\arctan \left({\mathrm e}^{x}\right)"," ",0,"arctan(exp(x))","A"
39,1,4,3,0.011000," ","int(exp(x)/(1-exp(2*x)),x)","\arctanh \left({\mathrm e}^{x}\right)"," ",0,"arctanh(exp(x))","A"
40,1,34,20,0.017000," ","int(exp(x)*x/(1-exp(2*x)),x)","-\frac{x \ln \left(-{\mathrm e}^{x}+1\right)}{2}+\frac{x \ln \left({\mathrm e}^{x}+1\right)}{2}+\frac{\polylog \left(2, -{\mathrm e}^{x}\right)}{2}-\frac{\polylog \left(2, {\mathrm e}^{x}\right)}{2}"," ",0,"1/2*x*ln(1+exp(x))+1/2*polylog(2,-exp(x))-1/2*x*ln(1-exp(x))-1/2*polylog(2,exp(x))","A"
41,1,51,35,0.015000," ","int(exp(x)*x^2/(1-exp(2*x)),x)","-\frac{x^{2} \ln \left(-{\mathrm e}^{x}+1\right)}{2}+\frac{x^{2} \ln \left({\mathrm e}^{x}+1\right)}{2}+x \polylog \left(2, -{\mathrm e}^{x}\right)-x \polylog \left(2, {\mathrm e}^{x}\right)-\polylog \left(3, -{\mathrm e}^{x}\right)+\polylog \left(3, {\mathrm e}^{x}\right)"," ",0,"1/2*x^2*ln(exp(x)+1)+x*polylog(2,-exp(x))-polylog(3,-exp(x))-1/2*x^2*ln(-exp(x)+1)-x*polylog(2,exp(x))+polylog(3,exp(x))","A"
42,1,74,58,0.018000," ","int(exp(x)*x^3/(1-exp(2*x)),x)","-\frac{x^{3} \ln \left(-{\mathrm e}^{x}+1\right)}{2}+\frac{x^{3} \ln \left({\mathrm e}^{x}+1\right)}{2}+\frac{3 x^{2} \polylog \left(2, -{\mathrm e}^{x}\right)}{2}-\frac{3 x^{2} \polylog \left(2, {\mathrm e}^{x}\right)}{2}-3 x \polylog \left(3, -{\mathrm e}^{x}\right)+3 x \polylog \left(3, {\mathrm e}^{x}\right)+3 \polylog \left(4, -{\mathrm e}^{x}\right)-3 \polylog \left(4, {\mathrm e}^{x}\right)"," ",0,"1/2*x^3*ln(exp(x)+1)+3/2*x^2*polylog(2,-exp(x))-3*x*polylog(3,-exp(x))+3*polylog(4,-exp(x))-1/2*x^3*ln(-exp(x)+1)-3/2*x^2*polylog(2,exp(x))+3*x*polylog(3,exp(x))-3*polylog(4,exp(x))","A"
43,1,53,22,0.045000," ","int(f^x/(a+b*f^(2*x)),x)","-\frac{\ln \left(-\frac{a}{\sqrt{-a b}}+f^{x}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)}+\frac{\ln \left(\frac{a}{\sqrt{-a b}}+f^{x}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)}"," ",0,"-1/2/(-a*b)^(1/2)/ln(f)*ln(f^x-1/(-a*b)^(1/2)*a)+1/2/(-a*b)^(1/2)/ln(f)*ln(f^x+1/(-a*b)^(1/2)*a)","B"
44,1,134,78,0.059000," ","int(f^x*x/(a+b*f^(2*x)),x)","\frac{x \ln \left(\frac{-b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)}-\frac{x \ln \left(\frac{b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)}+\frac{\dilog \left(\frac{-b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)^{2}}-\frac{\dilog \left(\frac{b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)^{2}}"," ",0,"1/2/ln(f)*x/(-a*b)^(1/2)*ln((-b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/2/ln(f)*x/(-a*b)^(1/2)*ln((b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/2/ln(f)^2/(-a*b)^(1/2)*dilog((-b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/2/ln(f)^2/(-a*b)^(1/2)*dilog((b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))","A"
45,0,0,136,0.053000," ","int(f^x*x^2/(a+b*f^(2*x)),x)","\int \frac{x^{2} f^{x}}{b \,f^{2 x}+a}\, dx"," ",0,"int(f^x*x^2/(a+b*f^(2*x)),x)","F"
46,0,0,196,0.057000," ","int(f^x*x^3/(b*f^(2*x)+a),x)","\int \frac{x^{3} f^{x}}{b \,f^{2 x}+a}\, dx"," ",0,"int(f^x*x^3/(b*f^(2*x)+a),x)","F"
47,1,82,47,0.054000," ","int(f^x/(b*f^(2*x)+a)^2,x)","\frac{f^{x}}{2 \left(b \,f^{2 x}+a \right) a \ln \left(f \right)}-\frac{\ln \left(-\frac{a}{\sqrt{-a b}}+f^{x}\right)}{4 \sqrt{-a b}\, a \ln \left(f \right)}+\frac{\ln \left(\frac{a}{\sqrt{-a b}}+f^{x}\right)}{4 \sqrt{-a b}\, a \ln \left(f \right)}"," ",0,"1/2/a/ln(f)*f^x/(a+b*(f^x)^2)-1/4/(-a*b)^(1/2)/a/ln(f)*ln(-1/(-a*b)^(1/2)*a+f^x)+1/4/(-a*b)^(1/2)/a/ln(f)*ln(1/(-a*b)^(1/2)*a+f^x)","A"
48,1,195,126,0.073000," ","int(f^x*x/(b*f^(2*x)+a)^2,x)","\frac{x \,f^{x}}{2 \left(b \,f^{2 x}+a \right) a \ln \left(f \right)}+\frac{x \ln \left(\frac{-b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{4 \sqrt{-a b}\, a \ln \left(f \right)}-\frac{x \ln \left(\frac{b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{4 \sqrt{-a b}\, a \ln \left(f \right)}+\frac{\dilog \left(\frac{-b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{4 \sqrt{-a b}\, a \ln \left(f \right)^{2}}-\frac{\dilog \left(\frac{b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{4 \sqrt{-a b}\, a \ln \left(f \right)^{2}}-\frac{\arctan \left(\frac{b \,f^{x}}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a \ln \left(f \right)^{2}}"," ",0,"1/2/a/ln(f)*f^x*x/(a+b*(f^x)^2)+1/4/a/ln(f)*x/(-a*b)^(1/2)*ln((-b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/4/a/ln(f)*x/(-a*b)^(1/2)*ln((b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/4/a/ln(f)^2/(-a*b)^(1/2)*dilog((-b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/4/a/ln(f)^2/(-a*b)^(1/2)*dilog((b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/2/a/ln(f)^2/(a*b)^(1/2)*arctan(b*f^x/(a*b)^(1/2))","A"
49,0,0,241,0.188000," ","int(f^x*x^2/(b*f^(2*x)+a)^2,x)","\int \frac{x^{2} f^{x}}{\left(b \,f^{2 x}+a \right)^{2}}\, dx"," ",0,"int(f^x*x^2/(b*f^(2*x)+a)^2,x)","F"
50,0,0,359,0.182000," ","int(f^x*x^3/(b*f^(2*x)+a)^2,x)","\int \frac{x^{3} f^{x}}{\left(b \,f^{2 x}+a \right)^{2}}\, dx"," ",0,"int(f^x*x^3/(b*f^(2*x)+a)^2,x)","F"
51,1,94,70,0.065000," ","int(f^x/(b*f^(2*x)+a)^3,x)","\frac{\left(3 b \,f^{2 x}+5 a \right) f^{x}}{8 \left(b \,f^{2 x}+a \right)^{2} a^{2} \ln \left(f \right)}-\frac{3 \ln \left(-\frac{a}{\sqrt{-a b}}+f^{x}\right)}{16 \sqrt{-a b}\, a^{2} \ln \left(f \right)}+\frac{3 \ln \left(\frac{a}{\sqrt{-a b}}+f^{x}\right)}{16 \sqrt{-a b}\, a^{2} \ln \left(f \right)}"," ",0,"1/8*f^x*(3*b*(f^x)^2+5*a)/ln(f)/a^2/(a+b*(f^x)^2)^2-3/16/(-a*b)^(1/2)/a^2/ln(f)*ln(-1/(-a*b)^(1/2)*a+f^x)+3/16/(-a*b)^(1/2)/a^2/ln(f)*ln(1/(-a*b)^(1/2)*a+f^x)","A"
52,1,223,173,0.088000," ","int(f^x*x/(b*f^(2*x)+a)^3,x)","\frac{3 x \ln \left(\frac{-b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a^{2} \ln \left(f \right)}-\frac{3 x \ln \left(\frac{b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a^{2} \ln \left(f \right)}+\frac{\left(3 b x \,f^{2 x} \ln \left(f \right)+5 a x \ln \left(f \right)-b \,f^{2 x}-a \right) f^{x}}{8 \left(b \,f^{2 x}+a \right)^{2} a^{2} \ln \left(f \right)^{2}}+\frac{3 \dilog \left(\frac{-b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a^{2} \ln \left(f \right)^{2}}-\frac{3 \dilog \left(\frac{b \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a^{2} \ln \left(f \right)^{2}}-\frac{\arctan \left(\frac{b \,f^{x}}{\sqrt{a b}}\right)}{2 \sqrt{a b}\, a^{2} \ln \left(f \right)^{2}}"," ",0,"1/8*f^x*(3*ln(f)*b*x*(f^x)^2+5*ln(f)*a*x-b*(f^x)^2-a)/ln(f)^2/a^2/(a+b*(f^x)^2)^2-1/2/ln(f)^2/a^2/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*b*f^x)+3/16/ln(f)/a^2*x/(-a*b)^(1/2)*ln((-b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-3/16/ln(f)/a^2*x/(-a*b)^(1/2)*ln((b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))+3/16/ln(f)^2/a^2/(-a*b)^(1/2)*dilog((-b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-3/16/ln(f)^2/a^2/(-a*b)^(1/2)*dilog((b*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))","A"
53,0,0,314,0.206000," ","int(f^x*x^2/(b*f^(2*x)+a)^3,x)","\int \frac{x^{2} f^{x}}{\left(b \,f^{2 x}+a \right)^{3}}\, dx"," ",0,"int(f^x*x^2/(b*f^(2*x)+a)^3,x)","F"
54,1,22,22,0.007000," ","int(1/(b/(f^x)+a*f^x),x)","\frac{\arctan \left(\frac{a \,f^{x}}{\sqrt{a b}}\right)}{\sqrt{a b}\, \ln \left(f \right)}"," ",0,"1/ln(f)/(a*b)^(1/2)*arctan(a*f^x/(a*b)^(1/2))","A"
55,1,134,78,0.058000," ","int(x/(b/(f^x)+a*f^x),x)","\frac{x \ln \left(\frac{-a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)}-\frac{x \ln \left(\frac{a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)}+\frac{\dilog \left(\frac{-a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)^{2}}-\frac{\dilog \left(\frac{a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{2 \sqrt{-a b}\, \ln \left(f \right)^{2}}"," ",0,"1/2/ln(f)*x/(-a*b)^(1/2)*ln((-a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/2/ln(f)*x/(-a*b)^(1/2)*ln((a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/2/ln(f)^2/(-a*b)^(1/2)*dilog((-a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/2/ln(f)^2/(-a*b)^(1/2)*dilog((a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))","A"
56,0,0,136,0.051000," ","int(x^2/(b/(f^x)+a*f^x),x)","\int \frac{x^{2}}{a \,f^{x}+b \,f^{-x}}\, dx"," ",0,"int(x^2/(b/(f^x)+a*f^x),x)","F"
57,0,0,196,0.053000," ","int(x^3/(b/(f^x)+a*f^x),x)","\int \frac{x^{3}}{a \,f^{x}+b \,f^{-x}}\, dx"," ",0,"int(x^3/(b/(f^x)+a*f^x),x)","F"
58,1,21,20,0.003000," ","int(1/(b/(f^x)+a*f^x)^2,x)","-\frac{1}{2 \left(a \,f^{2 x}+b \right) a \ln \left(f \right)}"," ",0,"-1/2/ln(f)/a/(a*(f^x)^2+b)","A"
59,1,56,57,0.032000," ","int(x/(b/(f^x)+a*f^x)^2,x)","\frac{x \,{\mathrm e}^{2 x \ln \left(f \right)}}{2 \left(a \,{\mathrm e}^{2 x \ln \left(f \right)}+b \right) b \ln \left(f \right)}-\frac{\ln \left(a \,{\mathrm e}^{2 x \ln \left(f \right)}+b \right)}{4 a b \ln \left(f \right)^{2}}"," ",0,"1/2/b/ln(f)*x*exp(x*ln(f))^2/(exp(x*ln(f))^2*a+b)-1/4/ln(f)^2/a/b*ln(exp(x*ln(f))^2*a+b)","A"
60,1,91,90,0.048000," ","int(x^2/(b/(f^x)+a*f^x)^2,x)","-\frac{x^{2}}{2 \left(a \,f^{2 x}+b \right) a \ln \left(f \right)}+\frac{x^{2}}{2 a b \ln \left(f \right)}-\frac{x \ln \left(\frac{a \,f^{2 x}}{b}+1\right)}{2 a b \ln \left(f \right)^{2}}-\frac{\polylog \left(2, -\frac{a \,f^{2 x}}{b}\right)}{4 a b \ln \left(f \right)^{3}}"," ",0,"-1/2/ln(f)/a*x^2/(a*(f^x)^2+b)+1/2*x^2/a/b/ln(f)-1/2*x*ln(1+a*f^(2*x)/b)/a/b/ln(f)^2-1/4*polylog(2,-a*f^(2*x)/b)/a/b/ln(f)^3","A"
61,1,119,118,0.054000," ","int(x^3/(b/(f^x)+a*f^x)^2,x)","-\frac{x^{3}}{2 \left(a \,f^{2 x}+b \right) a \ln \left(f \right)}+\frac{x^{3}}{2 a b \ln \left(f \right)}-\frac{3 x^{2} \ln \left(\frac{a \,f^{2 x}}{b}+1\right)}{4 a b \ln \left(f \right)^{2}}-\frac{3 x \polylog \left(2, -\frac{a \,f^{2 x}}{b}\right)}{4 a b \ln \left(f \right)^{3}}+\frac{3 \polylog \left(3, -\frac{a \,f^{2 x}}{b}\right)}{8 a b \ln \left(f \right)^{4}}"," ",0,"-1/2/ln(f)*x^3/a/(a*(f^x)^2+b)+1/2*x^3/a/b/ln(f)-3/4*x^2*ln(a/b*f^(2*x)+1)/a/b/ln(f)^2-3/4*x*polylog(2,-a/b*f^(2*x))/a/b/ln(f)^3+3/8*polylog(3,-a/b*f^(2*x))/a/b/ln(f)^4","A"
62,1,78,73,0.012000," ","int(1/(b/(f^x)+a*f^x)^3,x)","-\frac{f^{x}}{8 \left(a \,f^{2 x}+b \right)^{2} a \ln \left(f \right)}+\frac{f^{3 x}}{8 \left(a \,f^{2 x}+b \right)^{2} b \ln \left(f \right)}+\frac{\arctan \left(\frac{a \,f^{x}}{\sqrt{a b}}\right)}{8 \sqrt{a b}\, a b \ln \left(f \right)}"," ",0,"1/8/ln(f)/(a*(f^x)^2+b)^2/b*(f^x)^3-1/8/ln(f)/(a*(f^x)^2+b)^2*f^x/a+1/8/ln(f)/b/a/(a*b)^(1/2)*arctan(1/(a*b)^(1/2)*a*f^x)","A"
63,1,209,156,0.082000," ","int(x/(b/(f^x)+a*f^x)^3,x)","\frac{x \ln \left(\frac{-a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a b \ln \left(f \right)}-\frac{x \ln \left(\frac{a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a b \ln \left(f \right)}+\frac{\left(a x \,f^{2 x} \ln \left(f \right)-b x \ln \left(f \right)+a \,f^{2 x}+b \right) f^{x}}{8 \left(a \,f^{2 x}+b \right)^{2} a b \ln \left(f \right)^{2}}+\frac{\dilog \left(\frac{-a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a b \ln \left(f \right)^{2}}-\frac{\dilog \left(\frac{a \,f^{x}+\sqrt{-a b}}{\sqrt{-a b}}\right)}{16 \sqrt{-a b}\, a b \ln \left(f \right)^{2}}"," ",0,"1/8*f^x*(ln(f)*(f^x)^2*a*x-ln(f)*b*x+a*(f^x)^2+b)/ln(f)^2/b/a/(a*(f^x)^2+b)^2+1/16/ln(f)/a/b*x/(-a*b)^(1/2)*ln((-a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/16/ln(f)/a/b*x/(-a*b)^(1/2)*ln((a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))+1/16/ln(f)^2/a/b/(-a*b)^(1/2)*dilog((-a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))-1/16/ln(f)^2/a/b/(-a*b)^(1/2)*dilog((a*f^x+(-a*b)^(1/2))/(-a*b)^(1/2))","A"
64,0,0,242,0.171000," ","int(x^2/(b/(f^x)+a*f^x)^3,x)","\int \frac{x^{2}}{\left(a \,f^{x}+b \,f^{-x}\right)^{3}}\, dx"," ",0,"int(x^2/(b/(f^x)+a*f^x)^3,x)","F"
65,0,0,84,0.052000," ","int(f^(c*x^2+b*x+a)*g^(f*x^2+e*x+d),x)","\int f^{c \,x^{2}+b x +a} g^{f \,x^{2}+e x +d}\, dx"," ",0,"int(f^(c*x^2+b*x+a)*g^(f*x^2+e*x+d),x)","F"
66,0,0,108,0.118000," ","int(F^((d*x+c)*e)*(a+b*G^((g*x+f)*h))^n,x)","\int F^{\left(d x +c \right) e} \left(b \,G^{\left(g x +f \right) h}+a \right)^{n}\, dx"," ",0,"int(F^((d*x+c)*e)*(a+b*G^((g*x+f)*h))^n,x)","F"
67,0,0,78,0.046000," ","int(F^((d*x+c)*e)*H^(t*(s*x+r))/(a+b*F^((d*x+c)*e)),x)","\int \frac{F^{\left(d x +c \right) e} H^{\left(s x +r \right) t}}{b \,F^{\left(d x +c \right) e}+a}\, dx"," ",0,"int(F^((d*x+c)*e)*H^(t*(s*x+r))/(a+b*F^((d*x+c)*e)),x)","F"
68,0,0,89,0.066000," ","int(F^(e*(d*x+f))*H^((s*x+r)*t)/(b*F^((d*x+c)*e)+a),x)","\int \frac{F^{\left(d x +f \right) e} H^{\left(s x +r \right) t}}{b \,F^{\left(d x +c \right) e}+a}\, dx"," ",0,"int(F^(e*(d*x+f))*H^((s*x+r)*t)/(b*F^((d*x+c)*e)+a),x)","F"
69,1,140,38,0.055000," ","int(f^(b*x^2+a)*x^m,x)","\frac{\left(\frac{2 \left(\frac{m}{2}+\frac{1}{2}\right) x^{m +1} \left(-b \right)^{\frac{m}{2}+\frac{1}{2}} \left(-b \,x^{2} \ln \left(f \right)\right)^{-\frac{m}{2}-\frac{1}{2}} \ln \left(f \right)^{\frac{m}{2}+\frac{1}{2}} \Gamma \left(\frac{m}{2}+\frac{1}{2}\right)}{m +1}+\frac{2 \left(-\frac{m}{2}-\frac{1}{2}\right) x^{m +1} \left(-b \right)^{\frac{m}{2}+\frac{1}{2}} \left(-b \,x^{2} \ln \left(f \right)\right)^{-\frac{m}{2}-\frac{1}{2}} \ln \left(f \right)^{\frac{m}{2}+\frac{1}{2}} \Gamma \left(\frac{m}{2}+\frac{1}{2}, -b \,x^{2} \ln \left(f \right)\right)}{m +1}\right) f^{a} \left(-b \right)^{-\frac{m}{2}-\frac{1}{2}} \ln \left(f \right)^{-\frac{m}{2}-\frac{1}{2}}}{2}"," ",0,"1/2*f^a*(-b)^(-1/2*m-1/2)*ln(f)^(-1/2*m-1/2)*(2/(m+1)*x^(m+1)*(-b)^(1/2*m+1/2)*ln(f)^(1/2*m+1/2)*(1/2*m+1/2)*(-b*x^2*ln(f))^(-1/2*m-1/2)*GAMMA(1/2*m+1/2)+2/(m+1)*x^(m+1)*(-b)^(1/2*m+1/2)*ln(f)^(1/2*m+1/2)*(-1/2*m-1/2)*(-b*x^2*ln(f))^(-1/2*m-1/2)*GAMMA(1/2*m+1/2,-b*x^2*ln(f)))","B"
70,1,76,76,0.010000," ","int(f^(b*x^2+a)*x^11,x)","\frac{\left(b^{5} x^{10} \ln \left(f \right)^{5}-5 b^{4} x^{8} \ln \left(f \right)^{4}+20 b^{3} x^{6} \ln \left(f \right)^{3}-60 b^{2} x^{4} \ln \left(f \right)^{2}+120 b \,x^{2} \ln \left(f \right)-120\right) f^{b \,x^{2}+a}}{2 b^{6} \ln \left(f \right)^{6}}"," ",0,"1/2*(b^5*x^10*ln(f)^5-5*b^4*x^8*ln(f)^4+20*b^3*x^6*ln(f)^3-60*b^2*x^4*ln(f)^2+120*b*x^2*ln(f)-120)*f^(b*x^2+a)/ln(f)^6/b^6","A"
71,1,64,63,0.010000," ","int(f^(b*x^2+a)*x^9,x)","\frac{\left(b^{4} x^{8} \ln \left(f \right)^{4}-4 b^{3} x^{6} \ln \left(f \right)^{3}+12 b^{2} x^{4} \ln \left(f \right)^{2}-24 b \,x^{2} \ln \left(f \right)+24\right) f^{b \,x^{2}+a}}{2 b^{5} \ln \left(f \right)^{5}}"," ",0,"1/2*f^(b*x^2+a)*(24-24*b*x^2*ln(f)+12*b^2*x^4*ln(f)^2-4*b^3*x^6*ln(f)^3+b^4*x^8*ln(f)^4)/b^5/ln(f)^5","A"
72,1,52,82,0.009000," ","int(f^(b*x^2+a)*x^7,x)","\frac{\left(b^{3} x^{6} \ln \left(f \right)^{3}-3 b^{2} x^{4} \ln \left(f \right)^{2}+6 b \,x^{2} \ln \left(f \right)-6\right) f^{b \,x^{2}+a}}{2 b^{4} \ln \left(f \right)^{4}}"," ",0,"1/2*(b^3*x^6*ln(f)^3-3*b^2*x^4*ln(f)^2+6*b*x^2*ln(f)-6)*f^(b*x^2+a)/ln(f)^4/b^4","A"
73,1,40,60,0.009000," ","int(f^(b*x^2+a)*x^5,x)","\frac{\left(b^{2} x^{4} \ln \left(f \right)^{2}-2 b \,x^{2} \ln \left(f \right)+2\right) f^{b \,x^{2}+a}}{2 b^{3} \ln \left(f \right)^{3}}"," ",0,"1/2*(b^2*x^4*ln(f)^2-2*b*x^2*ln(f)+2)*f^(b*x^2+a)/ln(f)^3/b^3","A"
74,1,28,40,0.008000," ","int(f^(b*x^2+a)*x^3,x)","\frac{\left(b \,x^{2} \ln \left(f \right)-1\right) f^{b \,x^{2}+a}}{2 b^{2} \ln \left(f \right)^{2}}"," ",0,"1/2*(b*x^2*ln(f)-1)*f^(b*x^2+a)/b^2/ln(f)^2","A"
75,1,19,18,0.006000," ","int(f^(b*x^2+a)*x,x)","\frac{f^{b \,x^{2}+a}}{2 b \ln \left(f \right)}"," ",0,"1/2*f^(b*x^2+a)/b/ln(f)","A"
76,1,16,13,0.027000," ","int(f^(b*x^2+a)/x,x)","-\frac{f^{a} \Ei \left(1, -b \,x^{2} \ln \left(f \right)\right)}{2}"," ",0,"-1/2*f^a*Ei(1,-b*x^2*ln(f))","A"
77,1,35,31,0.037000," ","int(f^(b*x^2+a)/x^3,x)","-\frac{b \,f^{a} \Ei \left(1, -b \,x^{2} \ln \left(f \right)\right) \ln \left(f \right)}{2}-\frac{f^{a} f^{b \,x^{2}}}{2 x^{2}}"," ",0,"-1/2*f^a/x^2*f^(b*x^2)-1/2*f^a*ln(f)*b*Ei(1,-b*x^2*ln(f))","A"
78,1,57,52,0.045000," ","int(f^(b*x^2+a)/x^5,x)","-\frac{b^{2} f^{a} \Ei \left(1, -b \,x^{2} \ln \left(f \right)\right) \ln \left(f \right)^{2}}{4}-\frac{b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{4 x^{2}}-\frac{f^{a} f^{b \,x^{2}}}{4 x^{4}}"," ",0,"-1/4*f^a/x^4*f^(b*x^2)-1/4*f^a*ln(f)*b/x^2*f^(b*x^2)-1/4*f^a*ln(f)^2*b^2*Ei(1,-b*x^2*ln(f))","A"
79,1,79,73,0.053000," ","int(f^(b*x^2+a)/x^7,x)","-\frac{b^{3} f^{a} \Ei \left(1, -b \,x^{2} \ln \left(f \right)\right) \ln \left(f \right)^{3}}{12}-\frac{b^{2} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{2}}{12 x^{2}}-\frac{b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{12 x^{4}}-\frac{f^{a} f^{b \,x^{2}}}{6 x^{6}}"," ",0,"-1/6*f^a/x^6*f^(b*x^2)-1/12*f^a*ln(f)*b/x^4*f^(b*x^2)-1/12*f^a*ln(f)^2*b^2/x^2*f^(b*x^2)-1/12*f^a*ln(f)^3*b^3*Ei(1,-b*x^2*ln(f))","A"
80,1,101,18,0.066000," ","int(f^(b*x^2+a)/x^9,x)","-\frac{b^{4} f^{a} \Ei \left(1, -b \,x^{2} \ln \left(f \right)\right) \ln \left(f \right)^{4}}{48}-\frac{b^{3} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{3}}{48 x^{2}}-\frac{b^{2} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{2}}{48 x^{4}}-\frac{b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{24 x^{6}}-\frac{f^{a} f^{b \,x^{2}}}{8 x^{8}}"," ",0,"-1/8*f^a/x^8*f^(b*x^2)-1/24*f^a*ln(f)*b/x^6*f^(b*x^2)-1/48*f^a*ln(f)^2*b^2/x^4*f^(b*x^2)-1/48*f^a*ln(f)^3*b^3/x^2*f^(b*x^2)-1/48*f^a*ln(f)^4*b^4*Ei(1,-b*x^2*ln(f))","B"
81,1,123,18,0.087000," ","int(f^(b*x^2+a)/x^11,x)","-\frac{b^{5} f^{a} \Ei \left(1, -b \,x^{2} \ln \left(f \right)\right) \ln \left(f \right)^{5}}{240}-\frac{b^{4} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{4}}{240 x^{2}}-\frac{b^{3} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{3}}{240 x^{4}}-\frac{b^{2} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{2}}{120 x^{6}}-\frac{b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{40 x^{8}}-\frac{f^{a} f^{b \,x^{2}}}{10 x^{10}}"," ",0,"-1/10*f^a/x^10*f^(b*x^2)-1/40*f^a*ln(f)*b/x^8*f^(b*x^2)-1/120*f^a*ln(f)^2*b^2/x^6*f^(b*x^2)-1/240*f^a*ln(f)^3*b^3/x^4*f^(b*x^2)-1/240*f^a*ln(f)^4*b^4/x^2*f^(b*x^2)-1/240*f^a*ln(f)^5*b^5*Ei(1,-b*x^2*ln(f))","B"
82,1,164,411,0.147000," ","int(f^(b*x^2+a)*x^12,x)","\frac{x^{11} f^{a} f^{b \,x^{2}}}{2 b \ln \left(f \right)}-\frac{11 x^{9} f^{a} f^{b \,x^{2}}}{4 b^{2} \ln \left(f \right)^{2}}+\frac{99 x^{7} f^{a} f^{b \,x^{2}}}{8 b^{3} \ln \left(f \right)^{3}}-\frac{693 x^{5} f^{a} f^{b \,x^{2}}}{16 b^{4} \ln \left(f \right)^{4}}+\frac{3465 x^{3} f^{a} f^{b \,x^{2}}}{32 b^{5} \ln \left(f \right)^{5}}-\frac{10395 x \,f^{a} f^{b \,x^{2}}}{64 b^{6} \ln \left(f \right)^{6}}+\frac{10395 \sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right)}{128 \sqrt{-b \ln \left(f \right)}\, b^{6} \ln \left(f \right)^{6}}"," ",0,"1/2*f^a*f^(b*x^2)*x^11/ln(f)/b-11/4*f^a/ln(f)^2/b^2*x^9*f^(b*x^2)+99/8*f^a/ln(f)^3/b^3*x^7*f^(b*x^2)-693/16*f^a/ln(f)^4/b^4*x^5*f^(b*x^2)+3465/32*f^a/ln(f)^5/b^5*x^3*f^(b*x^2)-10395/64*f^a/ln(f)^6/b^6*x*f^(b*x^2)+10395/128*f^a/ln(f)^6/b^6*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
83,1,142,431,0.079000," ","int(f^(b*x^2+a)*x^10,x)","\frac{x^{9} f^{a} f^{b \,x^{2}}}{2 b \ln \left(f \right)}-\frac{9 x^{7} f^{a} f^{b \,x^{2}}}{4 b^{2} \ln \left(f \right)^{2}}+\frac{63 x^{5} f^{a} f^{b \,x^{2}}}{8 b^{3} \ln \left(f \right)^{3}}-\frac{315 x^{3} f^{a} f^{b \,x^{2}}}{16 b^{4} \ln \left(f \right)^{4}}+\frac{945 x \,f^{a} f^{b \,x^{2}}}{32 b^{5} \ln \left(f \right)^{5}}-\frac{945 \sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right)}{64 \sqrt{-b \ln \left(f \right)}\, b^{5} \ln \left(f \right)^{5}}"," ",0,"1/2*f^a/ln(f)/b*x^9*f^(b*x^2)-9/4*f^a/ln(f)^2/b^2*x^7*f^(b*x^2)+63/8*f^a/ln(f)^3/b^3*x^5*f^(b*x^2)-315/16*f^a/ln(f)^4/b^4*x^3*f^(b*x^2)+945/32*f^a/ln(f)^5/b^5*x*f^(b*x^2)-945/64*f^a/ln(f)^5/b^5*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
84,1,120,108,0.062000," ","int(f^(b*x^2+a)*x^8,x)","\frac{x^{7} f^{a} f^{b \,x^{2}}}{2 b \ln \left(f \right)}-\frac{7 x^{5} f^{a} f^{b \,x^{2}}}{4 b^{2} \ln \left(f \right)^{2}}+\frac{35 x^{3} f^{a} f^{b \,x^{2}}}{8 b^{3} \ln \left(f \right)^{3}}-\frac{105 x \,f^{a} f^{b \,x^{2}}}{16 b^{4} \ln \left(f \right)^{4}}+\frac{105 \sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right)}{32 \sqrt{-b \ln \left(f \right)}\, b^{4} \ln \left(f \right)^{4}}"," ",0,"1/2*f^a/ln(f)/b*x^7*f^(b*x^2)-7/4*f^a/ln(f)^2/b^2*x^5*f^(b*x^2)+35/8*f^a/ln(f)^3/b^3*x^3*f^(b*x^2)-105/16*f^a/ln(f)^4/b^4*x*f^(b*x^2)+105/32*f^a/ln(f)^4/b^4*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
85,1,98,87,0.051000," ","int(f^(b*x^2+a)*x^6,x)","\frac{x^{5} f^{a} f^{b \,x^{2}}}{2 b \ln \left(f \right)}-\frac{5 x^{3} f^{a} f^{b \,x^{2}}}{4 b^{2} \ln \left(f \right)^{2}}+\frac{15 x \,f^{a} f^{b \,x^{2}}}{8 b^{3} \ln \left(f \right)^{3}}-\frac{15 \sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right)}{16 \sqrt{-b \ln \left(f \right)}\, b^{3} \ln \left(f \right)^{3}}"," ",0,"1/2*f^a/ln(f)/b*x^5*f^(b*x^2)-5/4*f^a/ln(f)^2/b^2*x^3*f^(b*x^2)+15/8*f^a/ln(f)^3/b^3*x*f^(b*x^2)-15/16*f^a/ln(f)^3/b^3*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
86,1,76,66,0.046000," ","int(f^(b*x^2+a)*x^4,x)","\frac{x^{3} f^{a} f^{b \,x^{2}}}{2 b \ln \left(f \right)}-\frac{3 x \,f^{a} f^{b \,x^{2}}}{4 b^{2} \ln \left(f \right)^{2}}+\frac{3 \sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right)}{8 \sqrt{-b \ln \left(f \right)}\, b^{2} \ln \left(f \right)^{2}}"," ",0,"1/2*f^a/ln(f)/b*x^3*f^(b*x^2)-3/4*f^a/ln(f)^2/b^2*x*f^(b*x^2)+3/8*f^a/ln(f)^2/b^2*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
87,1,54,45,0.043000," ","int(f^(b*x^2+a)*x^2,x)","\frac{x \,f^{a} f^{b \,x^{2}}}{2 b \ln \left(f \right)}-\frac{\sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right)}{4 \sqrt{-b \ln \left(f \right)}\, b \ln \left(f \right)}"," ",0,"1/2*f^a/ln(f)/b*x*f^(b*x^2)-1/4*f^a/ln(f)/b*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
88,1,26,25,0.037000," ","int(f^(b*x^2+a),x)","\frac{\sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right)}{2 \sqrt{-b \ln \left(f \right)}}"," ",0,"1/2*f^a*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
89,1,44,39,0.043000," ","int(f^(b*x^2+a)/x^2,x)","\frac{\sqrt{\pi}\, b \,f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right) \ln \left(f \right)}{\sqrt{-b \ln \left(f \right)}}-\frac{f^{a} f^{b \,x^{2}}}{x}"," ",0,"-f^a/x*f^(b*x^2)+f^a*ln(f)*b*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
90,1,67,57,0.050000," ","int(f^(b*x^2+a)/x^4,x)","\frac{2 \sqrt{\pi}\, b^{2} f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right) \ln \left(f \right)^{2}}{3 \sqrt{-b \ln \left(f \right)}}-\frac{2 b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{3 x}-\frac{f^{a} f^{b \,x^{2}}}{3 x^{3}}"," ",0,"-1/3*f^a/x^3*f^(b*x^2)-2/3*f^a*ln(f)*b/x*f^(b*x^2)+2/3*f^a*ln(f)^2*b^2*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
91,1,89,78,0.056000," ","int(f^(b*x^2+a)/x^6,x)","\frac{4 \sqrt{\pi}\, b^{3} f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right) \ln \left(f \right)^{3}}{15 \sqrt{-b \ln \left(f \right)}}-\frac{4 b^{2} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{2}}{15 x}-\frac{2 b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{15 x^{3}}-\frac{f^{a} f^{b \,x^{2}}}{5 x^{5}}"," ",0,"-1/5*f^a/x^5*f^(b*x^2)-2/15*f^a*ln(f)*b/x^3*f^(b*x^2)-4/15*f^a*ln(f)^2*b^2/x*f^(b*x^2)+4/15*f^a*ln(f)^3*b^3*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
92,1,111,99,0.066000," ","int(f^(b*x^2+a)/x^8,x)","\frac{8 \sqrt{\pi}\, b^{4} f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right) \ln \left(f \right)^{4}}{105 \sqrt{-b \ln \left(f \right)}}-\frac{8 b^{3} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{3}}{105 x}-\frac{4 b^{2} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{2}}{105 x^{3}}-\frac{2 b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{35 x^{5}}-\frac{f^{a} f^{b \,x^{2}}}{7 x^{7}}"," ",0,"-1/7*f^a/x^7*f^(b*x^2)-2/35*f^a*ln(f)*b/x^5*f^(b*x^2)-4/105*f^a*ln(f)^2*b^2/x^3*f^(b*x^2)-8/105*f^a*ln(f)^3*b^3/x*f^(b*x^2)+8/105*f^a*ln(f)^4*b^4*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
93,1,133,135,0.079000," ","int(f^(b*x^2+a)/x^10,x)","\frac{16 \sqrt{\pi}\, b^{5} f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right) \ln \left(f \right)^{5}}{945 \sqrt{-b \ln \left(f \right)}}-\frac{16 b^{4} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{4}}{945 x}-\frac{8 b^{3} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{3}}{945 x^{3}}-\frac{4 b^{2} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{2}}{315 x^{5}}-\frac{2 b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{63 x^{7}}-\frac{f^{a} f^{b \,x^{2}}}{9 x^{9}}"," ",0,"-1/9*f^a/x^9*f^(b*x^2)-2/63*f^a*ln(f)*b/x^7*f^(b*x^2)-4/315*f^a*ln(f)^2*b^2/x^5*f^(b*x^2)-8/945*f^a*ln(f)^3*b^3/x^3*f^(b*x^2)-16/945*f^a*ln(f)^4*b^4/x*f^(b*x^2)+16/945*f^a*ln(f)^5*b^5*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
94,1,155,155,0.113000," ","int(f^(b*x^2+a)/x^12,x)","\frac{32 \sqrt{\pi}\, b^{6} f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x \right) \ln \left(f \right)^{6}}{10395 \sqrt{-b \ln \left(f \right)}}-\frac{32 b^{5} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{5}}{10395 x}-\frac{16 b^{4} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{4}}{10395 x^{3}}-\frac{8 b^{3} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{3}}{3465 x^{5}}-\frac{4 b^{2} f^{a} f^{b \,x^{2}} \ln \left(f \right)^{2}}{693 x^{7}}-\frac{2 b \,f^{a} f^{b \,x^{2}} \ln \left(f \right)}{99 x^{9}}-\frac{f^{a} f^{b \,x^{2}}}{11 x^{11}}"," ",0,"-1/11*f^a/x^11*f^(b*x^2)-2/99*f^a*ln(f)*b/x^9*f^(b*x^2)-4/693*f^a*ln(f)^2*b^2/x^7*f^(b*x^2)-8/3465*f^a*ln(f)^3*b^3/x^5*f^(b*x^2)-16/10395*f^a*ln(f)^4*b^4/x^3*f^(b*x^2)-32/10395*f^a*ln(f)^5*b^5/x*f^(b*x^2)+32/10395*f^a*ln(f)^6*b^6*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x)","A"
95,1,140,38,0.056000," ","int(f^(b*x^3+a)*x^m,x)","\frac{\left(\frac{3 \left(\frac{m}{3}+\frac{1}{3}\right) x^{m +1} \left(-b \right)^{\frac{m}{3}+\frac{1}{3}} \left(-b \,x^{3} \ln \left(f \right)\right)^{-\frac{m}{3}-\frac{1}{3}} \ln \left(f \right)^{\frac{m}{3}+\frac{1}{3}} \Gamma \left(\frac{m}{3}+\frac{1}{3}\right)}{m +1}+\frac{3 \left(-\frac{m}{3}-\frac{1}{3}\right) x^{m +1} \left(-b \right)^{\frac{m}{3}+\frac{1}{3}} \left(-b \,x^{3} \ln \left(f \right)\right)^{-\frac{m}{3}-\frac{1}{3}} \ln \left(f \right)^{\frac{m}{3}+\frac{1}{3}} \Gamma \left(\frac{m}{3}+\frac{1}{3}, -b \,x^{3} \ln \left(f \right)\right)}{m +1}\right) f^{a} \left(-b \right)^{-\frac{m}{3}-\frac{1}{3}} \ln \left(f \right)^{-\frac{m}{3}-\frac{1}{3}}}{3}"," ",0,"1/3*f^a*(-b)^(-1/3*m-1/3)*ln(f)^(-1/3*m-1/3)*(3/(m+1)*x^(m+1)*(-b)^(1/3*m+1/3)*ln(f)^(1/3*m+1/3)*(1/3*m+1/3)*(-b*x^3*ln(f))^(-1/3*m-1/3)*GAMMA(1/3*m+1/3)+3/(m+1)*x^(m+1)*(-b)^(1/3*m+1/3)*ln(f)^(1/3*m+1/3)*(-1/3*m-1/3)*(-b*x^3*ln(f))^(-1/3*m-1/3)*GAMMA(1/3*m+1/3,-b*x^3*ln(f)))","B"
96,1,76,76,0.013000," ","int(f^(b*x^3+a)*x^17,x)","\frac{\left(b^{5} x^{15} \ln \left(f \right)^{5}-5 b^{4} x^{12} \ln \left(f \right)^{4}+20 b^{3} x^{9} \ln \left(f \right)^{3}-60 b^{2} x^{6} \ln \left(f \right)^{2}+120 b \,x^{3} \ln \left(f \right)-120\right) f^{b \,x^{3}+a}}{3 b^{6} \ln \left(f \right)^{6}}"," ",0,"1/3*(b^5*x^15*ln(f)^5-5*b^4*x^12*ln(f)^4+20*b^3*x^9*ln(f)^3-60*b^2*x^6*ln(f)^2+120*b*x^3*ln(f)-120)*f^(b*x^3+a)/b^6/ln(f)^6","A"
97,1,64,63,0.013000," ","int(f^(b*x^3+a)*x^14,x)","\frac{\left(b^{4} x^{12} \ln \left(f \right)^{4}-4 b^{3} x^{9} \ln \left(f \right)^{3}+12 b^{2} x^{6} \ln \left(f \right)^{2}-24 b \,x^{3} \ln \left(f \right)+24\right) f^{b \,x^{3}+a}}{3 b^{5} \ln \left(f \right)^{5}}"," ",0,"1/3*f^(b*x^3+a)*(24-24*b*x^3*ln(f)+12*b^2*x^6*ln(f)^2-4*b^3*x^9*ln(f)^3+b^4*x^12*ln(f)^4)/b^5/ln(f)^5","A"
98,1,52,82,0.011000," ","int(f^(b*x^3+a)*x^11,x)","\frac{\left(b^{3} x^{9} \ln \left(f \right)^{3}-3 b^{2} x^{6} \ln \left(f \right)^{2}+6 b \,x^{3} \ln \left(f \right)-6\right) f^{b \,x^{3}+a}}{3 b^{4} \ln \left(f \right)^{4}}"," ",0,"1/3*(b^3*x^9*ln(f)^3-3*b^2*x^6*ln(f)^2+6*b*x^3*ln(f)-6)*f^(b*x^3+a)/ln(f)^4/b^4","A"
99,1,40,61,0.009000," ","int(f^(b*x^3+a)*x^8,x)","\frac{\left(b^{2} x^{6} \ln \left(f \right)^{2}-2 b \,x^{3} \ln \left(f \right)+2\right) f^{b \,x^{3}+a}}{3 b^{3} \ln \left(f \right)^{3}}"," ",0,"1/3*(b^2*x^6*ln(f)^2-2*b*x^3*ln(f)+2)*f^(b*x^3+a)/ln(f)^3/b^3","A"
100,1,28,40,0.007000," ","int(f^(b*x^3+a)*x^5,x)","\frac{\left(b \,x^{3} \ln \left(f \right)-1\right) f^{b \,x^{3}+a}}{3 b^{2} \ln \left(f \right)^{2}}"," ",0,"1/3*(b*x^3*ln(f)-1)*f^(b*x^3+a)/ln(f)^2/b^2","A"
101,1,19,18,0.005000," ","int(f^(b*x^3+a)*x^2,x)","\frac{f^{b \,x^{3}+a}}{3 b \ln \left(f \right)}"," ",0,"1/3*f^(b*x^3+a)/b/ln(f)","A"
102,1,41,13,0.037000," ","int(f^(b*x^3+a)/x,x)","\frac{\left(-\Ei \left(1, -b \,x^{3} \ln \left(f \right)\right)+3 \ln \left(x \right)+\ln \left(-b \right)-\ln \left(-b \,x^{3} \ln \left(f \right)\right)+\ln \left(\ln \left(f \right)\right)\right) f^{a}}{3}"," ",0,"1/3*f^a*(-ln(-b*x^3*ln(f))-Ei(1,-b*x^3*ln(f))+3*ln(x)+ln(-b)+ln(ln(f)))","B"
103,1,97,31,0.049000," ","int(f^(b*x^3+a)/x^4,x)","-\frac{\left(\Ei \left(1, -b \,x^{3} \ln \left(f \right)\right)-3 \ln \left(x \right)-\ln \left(-b \right)+\ln \left(-b \,x^{3} \ln \left(f \right)\right)-\ln \left(\ln \left(f \right)\right)+\frac{{\mathrm e}^{b \,x^{3} \ln \left(f \right)}}{b \,x^{3} \ln \left(f \right)}-\frac{2 b \,x^{3} \ln \left(f \right)+2}{2 b \,x^{3} \ln \left(f \right)}+\frac{1}{b \,x^{3} \ln \left(f \right)}+1\right) b \,f^{a} \ln \left(f \right)}{3}"," ",0,"-1/3*f^a*b*ln(f)*(-1/2/b/x^3/ln(f)*(2+2*b*x^3*ln(f))+1/b/x^3/ln(f)*exp(b*x^3*ln(f))+ln(-b*x^3*ln(f))+Ei(1,-b*x^3*ln(f))+1-3*ln(x)-ln(-b)-ln(ln(f))+1/x^3/b/ln(f))","B"
104,1,141,52,0.057000," ","int(f^(b*x^3+a)/x^7,x)","\frac{\left(-\frac{\Ei \left(1, -b \,x^{3} \ln \left(f \right)\right)}{2}+\frac{3 \ln \left(x \right)}{2}+\frac{\ln \left(-b \right)}{2}-\frac{\ln \left(-b \,x^{3} \ln \left(f \right)\right)}{2}+\frac{\ln \left(\ln \left(f \right)\right)}{2}-\frac{1}{b \,x^{3} \ln \left(f \right)}-\frac{\left(3 b \,x^{3} \ln \left(f \right)+3\right) {\mathrm e}^{b \,x^{3} \ln \left(f \right)}}{6 b^{2} x^{6} \ln \left(f \right)^{2}}+\frac{9 b^{2} x^{6} \ln \left(f \right)^{2}+12 b \,x^{3} \ln \left(f \right)+6}{12 b^{2} x^{6} \ln \left(f \right)^{2}}-\frac{1}{2 b^{2} x^{6} \ln \left(f \right)^{2}}-\frac{3}{4}\right) b^{2} f^{a} \ln \left(f \right)^{2}}{3}"," ",0,"1/3*f^a*b^2*ln(f)^2*(1/12/b^2/x^6/ln(f)^2*(9*b^2*x^6*ln(f)^2+12*b*x^3*ln(f)+6)-1/6/b^2/x^6/ln(f)^2*(3+3*b*x^3*ln(f))*exp(b*x^3*ln(f))-1/2*ln(-b*x^3*ln(f))-1/2*Ei(1,-b*x^3*ln(f))-3/4+3/2*ln(x)+1/2*ln(-b)+1/2*ln(ln(f))-1/2/x^6/b^2/ln(f)^2-1/b/x^3/ln(f))","B"
105,1,177,73,0.063000," ","int(f^(b*x^3+a)/x^10,x)","-\frac{\left(\frac{\Ei \left(1, -b \,x^{3} \ln \left(f \right)\right)}{6}-\frac{\ln \left(x \right)}{2}-\frac{\ln \left(-b \right)}{6}+\frac{\ln \left(-b \,x^{3} \ln \left(f \right)\right)}{6}-\frac{\ln \left(\ln \left(f \right)\right)}{6}+\frac{1}{2 b \,x^{3} \ln \left(f \right)}+\frac{1}{2 b^{2} x^{6} \ln \left(f \right)^{2}}+\frac{\left(4 b^{2} x^{6} \ln \left(f \right)^{2}+4 b \,x^{3} \ln \left(f \right)+8\right) {\mathrm e}^{b \,x^{3} \ln \left(f \right)}}{24 b^{3} x^{9} \ln \left(f \right)^{3}}-\frac{22 b^{3} x^{9} \ln \left(f \right)^{3}+36 b^{2} x^{6} \ln \left(f \right)^{2}+36 b \,x^{3} \ln \left(f \right)+24}{72 b^{3} x^{9} \ln \left(f \right)^{3}}+\frac{1}{3 b^{3} x^{9} \ln \left(f \right)^{3}}+\frac{11}{36}\right) b^{3} f^{a} \ln \left(f \right)^{3}}{3}"," ",0,"-1/3*f^a*b^3*ln(f)^3*(-1/72/b^3/x^9/ln(f)^3*(22*b^3*x^9*ln(f)^3+36*b^2*x^6*ln(f)^2+36*b*x^3*ln(f)+24)+1/24/b^3/x^9/ln(f)^3*(4*b^2*x^6*ln(f)^2+4*b*x^3*ln(f)+8)*exp(b*x^3*ln(f))+1/6*ln(-b*x^3*ln(f))+1/6*Ei(1,-b*x^3*ln(f))+11/36-1/2*ln(x)-1/6*ln(-b)-1/6*ln(ln(f))+1/3/x^9/b^3/ln(f)^3+1/2/b^2/x^6/ln(f)^2+1/2/b/x^3/ln(f))","B"
106,1,213,18,0.075000," ","int(f^(b*x^3+a)/x^13,x)","\frac{\left(-\frac{\Ei \left(1, -b \,x^{3} \ln \left(f \right)\right)}{24}+\frac{\ln \left(x \right)}{8}+\frac{\ln \left(-b \right)}{24}-\frac{\ln \left(-b \,x^{3} \ln \left(f \right)\right)}{24}+\frac{\ln \left(\ln \left(f \right)\right)}{24}-\frac{1}{6 b \,x^{3} \ln \left(f \right)}-\frac{1}{4 b^{2} x^{6} \ln \left(f \right)^{2}}-\frac{1}{3 b^{3} x^{9} \ln \left(f \right)^{3}}-\frac{\left(5 b^{3} x^{9} \ln \left(f \right)^{3}+5 b^{2} x^{6} \ln \left(f \right)^{2}+10 b \,x^{3} \ln \left(f \right)+30\right) {\mathrm e}^{b \,x^{3} \ln \left(f \right)}}{120 b^{4} x^{12} \ln \left(f \right)^{4}}+\frac{125 b^{4} x^{12} \ln \left(f \right)^{4}+240 b^{3} x^{9} \ln \left(f \right)^{3}+360 b^{2} x^{6} \ln \left(f \right)^{2}+480 b \,x^{3} \ln \left(f \right)+360}{1440 b^{4} x^{12} \ln \left(f \right)^{4}}-\frac{1}{4 b^{4} x^{12} \ln \left(f \right)^{4}}-\frac{25}{288}\right) b^{4} f^{a} \ln \left(f \right)^{4}}{3}"," ",0,"1/3*f^a*b^4*ln(f)^4*(1/1440/b^4/x^12/ln(f)^4*(125*b^4*x^12*ln(f)^4+240*b^3*x^9*ln(f)^3+360*b^2*x^6*ln(f)^2+480*b*x^3*ln(f)+360)-1/120/b^4/x^12/ln(f)^4*(5*b^3*x^9*ln(f)^3+5*b^2*x^6*ln(f)^2+10*b*x^3*ln(f)+30)*exp(b*x^3*ln(f))-1/24*ln(-b*x^3*ln(f))-1/24*Ei(1,-b*x^3*ln(f))-25/288+1/8*ln(x)+1/24*ln(-b)+1/24*ln(ln(f))-1/4/x^12/b^4/ln(f)^4-1/3/b^3/x^9/ln(f)^3-1/4/b^2/x^6/ln(f)^2-1/6/b/x^3/ln(f))","B"
107,1,249,18,0.086000," ","int(f^(b*x^3+a)/x^16,x)","-\frac{\left(\frac{\Ei \left(1, -b \,x^{3} \ln \left(f \right)\right)}{120}-\frac{\ln \left(x \right)}{40}-\frac{\ln \left(-b \right)}{120}+\frac{\ln \left(-b \,x^{3} \ln \left(f \right)\right)}{120}-\frac{\ln \left(\ln \left(f \right)\right)}{120}+\frac{1}{24 b \,x^{3} \ln \left(f \right)}+\frac{1}{12 b^{2} x^{6} \ln \left(f \right)^{2}}+\frac{1}{6 b^{3} x^{9} \ln \left(f \right)^{3}}+\frac{1}{4 b^{4} x^{12} \ln \left(f \right)^{4}}+\frac{\left(6 b^{4} x^{12} \ln \left(f \right)^{4}+6 b^{3} x^{9} \ln \left(f \right)^{3}+12 b^{2} x^{6} \ln \left(f \right)^{2}+36 b \,x^{3} \ln \left(f \right)+144\right) {\mathrm e}^{b \,x^{3} \ln \left(f \right)}}{720 b^{5} x^{15} \ln \left(f \right)^{5}}-\frac{137 b^{5} x^{15} \ln \left(f \right)^{5}+300 b^{4} x^{12} \ln \left(f \right)^{4}+600 b^{3} x^{9} \ln \left(f \right)^{3}+1200 b^{2} x^{6} \ln \left(f \right)^{2}+1800 b \,x^{3} \ln \left(f \right)+1440}{7200 b^{5} x^{15} \ln \left(f \right)^{5}}+\frac{1}{5 b^{5} x^{15} \ln \left(f \right)^{5}}+\frac{137}{7200}\right) b^{5} f^{a} \ln \left(f \right)^{5}}{3}"," ",0,"-1/3*f^a*b^5*ln(f)^5*(-1/7200/b^5/x^15/ln(f)^5*(137*b^5*x^15*ln(f)^5+300*b^4*x^12*ln(f)^4+600*b^3*x^9*ln(f)^3+1200*b^2*x^6*ln(f)^2+1800*b*x^3*ln(f)+1440)+1/720/b^5/x^15/ln(f)^5*(6*b^4*x^12*ln(f)^4+6*b^3*x^9*ln(f)^3+12*b^2*x^6*ln(f)^2+36*b*x^3*ln(f)+144)*exp(b*x^3*ln(f))+1/120*ln(-b*x^3*ln(f))+1/120*Ei(1,-b*x^3*ln(f))+137/7200-1/40*ln(x)-1/120*ln(-b)-1/120*ln(ln(f))+1/5/x^15/b^5/ln(f)^5+1/4/b^4/x^12/ln(f)^4+1/6/b^3/x^9/ln(f)^3+1/12/b^2/x^6/ln(f)^2+1/24/b/x^3/ln(f))","B"
108,1,106,28,0.042000," ","int(f^(b*x^3+a)*x^4,x)","\frac{\left(\frac{2 \left(-b \right)^{\frac{5}{3}} x^{2} \Gamma \left(\frac{2}{3}, -b \,x^{3} \ln \left(f \right)\right) \ln \left(f \right)^{\frac{2}{3}}}{3 \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{2}{3}} b}+\frac{\left(-b \right)^{\frac{5}{3}} x^{2} {\mathrm e}^{b \,x^{3} \ln \left(f \right)} \ln \left(f \right)^{\frac{2}{3}}}{b}-\frac{2 \left(-b \right)^{\frac{5}{3}} \Gamma \left(\frac{2}{3}\right) x^{2} \ln \left(f \right)^{\frac{2}{3}}}{3 \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{2}{3}} b}\right) f^{a}}{3 \left(-b \right)^{\frac{5}{3}} \ln \left(f \right)^{\frac{5}{3}}}"," ",0,"1/3*f^a/(-b)^(5/3)/ln(f)^(5/3)*(-2/3*x^2*(-b)^(5/3)*ln(f)^(2/3)/b*GAMMA(2/3)/(-b*x^3*ln(f))^(2/3)+x^2*(-b)^(5/3)*ln(f)^(2/3)/b*exp(b*x^3*ln(f))+2/3*x^2*(-b)^(5/3)*ln(f)^(2/3)/b/(-b*x^3*ln(f))^(2/3)*GAMMA(2/3,-b*x^3*ln(f)))","B"
109,1,109,28,0.043000," ","int(f^(b*x^3+a)*x^3,x)","-\frac{\left(\frac{\left(-b \right)^{\frac{4}{3}} x \Gamma \left(\frac{1}{3}, -b \,x^{3} \ln \left(f \right)\right) \ln \left(f \right)^{\frac{1}{3}}}{3 \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{1}{3}} b}+\frac{\left(-b \right)^{\frac{4}{3}} x \,{\mathrm e}^{b \,x^{3} \ln \left(f \right)} \ln \left(f \right)^{\frac{1}{3}}}{b}-\frac{2 \left(-b \right)^{\frac{4}{3}} \pi  \sqrt{3}\, x \ln \left(f \right)^{\frac{1}{3}}}{9 \Gamma \left(\frac{2}{3}\right) \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{1}{3}} b}\right) f^{a}}{3 \left(-b \right)^{\frac{1}{3}} b \ln \left(f \right)^{\frac{4}{3}}}"," ",0,"-1/3*f^a/b/ln(f)^(4/3)/(-b)^(1/3)*(-2/9*x*(-b)^(4/3)*ln(f)^(1/3)/b*Pi*3^(1/2)/GAMMA(2/3)/(-b*x^3*ln(f))^(1/3)+x*(-b)^(4/3)*ln(f)^(1/3)/b*exp(b*x^3*ln(f))+1/3*x*(-b)^(4/3)*ln(f)^(1/3)/b/(-b*x^3*ln(f))^(1/3)*GAMMA(1/3,-b*x^3*ln(f)))","B"
110,1,75,28,0.034000," ","int(f^(b*x^3+a)*x,x)","\frac{\left(-\frac{\left(-b \right)^{\frac{2}{3}} x^{2} \Gamma \left(\frac{2}{3}, -b \,x^{3} \ln \left(f \right)\right) \ln \left(f \right)^{\frac{2}{3}}}{\left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{2}{3}}}+\frac{\left(-b \right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right) x^{2} \ln \left(f \right)^{\frac{2}{3}}}{\left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{2}{3}}}\right) f^{a}}{3 \left(-b \right)^{\frac{2}{3}} \ln \left(f \right)^{\frac{2}{3}}}"," ",0,"1/3*f^a/(-b)^(2/3)/ln(f)^(2/3)*(x^2*(-b)^(2/3)*ln(f)^(2/3)*GAMMA(2/3)/(-b*x^3*ln(f))^(2/3)-x^2*(-b)^(2/3)*ln(f)^(2/3)/(-b*x^3*ln(f))^(2/3)*GAMMA(2/3,-b*x^3*ln(f)))","B"
111,1,78,26,0.032000," ","int(f^(b*x^3+a),x)","\frac{\left(-\frac{\left(-b \right)^{\frac{1}{3}} x \Gamma \left(\frac{1}{3}, -b \,x^{3} \ln \left(f \right)\right) \ln \left(f \right)^{\frac{1}{3}}}{\left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{1}{3}}}+\frac{2 \left(-b \right)^{\frac{1}{3}} \pi  \sqrt{3}\, x \ln \left(f \right)^{\frac{1}{3}}}{3 \Gamma \left(\frac{2}{3}\right) \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{1}{3}}}\right) f^{a}}{3 \left(-b \right)^{\frac{1}{3}} \ln \left(f \right)^{\frac{1}{3}}}"," ",0,"1/3*f^a/(-b)^(1/3)/ln(f)^(1/3)*(2/3*x*(-b)^(1/3)*ln(f)^(1/3)*Pi*3^(1/2)/GAMMA(2/3)/(-b*x^3*ln(f))^(1/3)-x*(-b)^(1/3)*ln(f)^(1/3)/(-b*x^3*ln(f))^(1/3)*GAMMA(1/3,-b*x^3*ln(f)))","B"
112,1,100,28,0.040000," ","int(f^(b*x^3+a)/x^2,x)","\frac{\left(-b \right)^{\frac{1}{3}} \left(-\frac{3 b \,x^{2} \Gamma \left(\frac{2}{3}, -b \,x^{3} \ln \left(f \right)\right) \ln \left(f \right)^{\frac{2}{3}}}{\left(-b \right)^{\frac{1}{3}} \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{2}{3}}}+\frac{3 \Gamma \left(\frac{2}{3}\right) b \,x^{2} \ln \left(f \right)^{\frac{2}{3}}}{\left(-b \right)^{\frac{1}{3}} \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{2}{3}}}-\frac{3 \,{\mathrm e}^{b \,x^{3} \ln \left(f \right)}}{\left(-b \right)^{\frac{1}{3}} x \ln \left(f \right)^{\frac{1}{3}}}\right) f^{a} \ln \left(f \right)^{\frac{1}{3}}}{3}"," ",0,"1/3*f^a*(-b)^(1/3)*ln(f)^(1/3)*(3*x^2/(-b)^(1/3)*ln(f)^(2/3)*b*GAMMA(2/3)/(-b*x^3*ln(f))^(2/3)-3/x/(-b)^(1/3)/ln(f)^(1/3)*exp(b*x^3*ln(f))-3*x^2/(-b)^(1/3)*ln(f)^(2/3)*b/(-b*x^3*ln(f))^(2/3)*GAMMA(2/3,-b*x^3*ln(f)))","B"
113,1,102,28,0.045000," ","int(f^(b*x^3+a)/x^3,x)","-\frac{\left(-\frac{3 b x \Gamma \left(\frac{1}{3}, -b \,x^{3} \ln \left(f \right)\right) \ln \left(f \right)^{\frac{1}{3}}}{2 \left(-b \right)^{\frac{2}{3}} \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{1}{3}}}+\frac{\pi  \sqrt{3}\, b x \ln \left(f \right)^{\frac{1}{3}}}{\left(-b \right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right) \left(-b \,x^{3} \ln \left(f \right)\right)^{\frac{1}{3}}}-\frac{3 \,{\mathrm e}^{b \,x^{3} \ln \left(f \right)}}{2 \left(-b \right)^{\frac{2}{3}} x^{2} \ln \left(f \right)^{\frac{2}{3}}}\right) b \,f^{a} \ln \left(f \right)^{\frac{2}{3}}}{3 \left(-b \right)^{\frac{1}{3}}}"," ",0,"-1/3*f^a*b*ln(f)^(2/3)/(-b)^(1/3)*(x/(-b)^(2/3)*ln(f)^(1/3)*b*Pi*3^(1/2)/GAMMA(2/3)/(-b*x^3*ln(f))^(1/3)-3/2/x^2/(-b)^(2/3)/ln(f)^(2/3)*exp(b*x^3*ln(f))-3/2*x/(-b)^(2/3)*ln(f)^(1/3)*b/(-b*x^3*ln(f))^(1/3)*GAMMA(1/3,-b*x^3*ln(f)))","B"
114,1,9,8,0.004000," ","int(exp(4*x^3)*x^2,x)","\frac{{\mathrm e}^{4 x^{3}}}{12}"," ",0,"1/12*exp(4*x^3)","A"
115,1,136,35,0.059000," ","int(f^(a+b/x)*x^m,x)","\left(-\frac{x^{m} \left(-b \right)^{-m} \left(-\frac{b \ln \left(f \right)}{x}\right)^{m} \ln \left(f \right)^{-m} \Gamma \left(-m \right)}{m +1}+\frac{x^{m} \left(-b \right)^{-m} \left(-\frac{b \ln \left(f \right)}{x}\right)^{m} \ln \left(f \right)^{-m} \Gamma \left(-m , -\frac{b \ln \left(f \right)}{x}\right)}{m +1}+\frac{x^{m +1} \left(-b \right)^{-m} \ln \left(f \right)^{-m -1} {\mathrm e}^{\frac{b \ln \left(f \right)}{x}}}{\left(m +1\right) b}\right) b \,f^{a} \left(-b \right)^{m} \ln \left(f \right)^{m +1}"," ",0,"f^a*(-b)^m*ln(f)^(m+1)*b*(-1/(m+1)*x^m*(-b)^(-m)*ln(f)^(-m)*GAMMA(-m)*(-b*ln(f)/x)^m+1/(m+1)*x^(m+1)*(-b)^(-m)*ln(f)^(-m-1)/b*exp(b*ln(f)/x)+1/(m+1)*x^m*(-b)^(-m)*ln(f)^(-m)*(-b*ln(f)/x)^m*GAMMA(-m,-b*ln(f)/x))","B"
116,1,121,17,0.112000," ","int(f^(a+b/x)*x^4,x)","\frac{b^{5} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x}\right) \ln \left(f \right)^{5}}{120}+\frac{b^{4} x \,f^{a} f^{\frac{b}{x}} \ln \left(f \right)^{4}}{120}+\frac{b^{3} x^{2} f^{a} f^{\frac{b}{x}} \ln \left(f \right)^{3}}{120}+\frac{b^{2} x^{3} f^{a} f^{\frac{b}{x}} \ln \left(f \right)^{2}}{60}+\frac{b \,x^{4} f^{a} f^{\frac{b}{x}} \ln \left(f \right)}{20}+\frac{x^{5} f^{a} f^{\frac{b}{x}}}{5}"," ",0,"1/5*f^a*f^(b/x)*x^5+1/20*b*ln(f)*f^a*f^(b/x)*x^4+1/60*b^2*ln(f)^2*f^a*f^(b/x)*x^3+1/120*b^3*ln(f)^3*f^a*f^(b/x)*x^2+1/120*b^4*ln(f)^4*f^a*f^(b/x)*x+1/120*b^5*ln(f)^5*f^a*Ei(1,-b/x*ln(f))","B"
117,1,99,17,0.092000," ","int(f^(a+b/x)*x^3,x)","\frac{b^{4} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x}\right) \ln \left(f \right)^{4}}{24}+\frac{b^{3} x \,f^{a} f^{\frac{b}{x}} \ln \left(f \right)^{3}}{24}+\frac{b^{2} x^{2} f^{a} f^{\frac{b}{x}} \ln \left(f \right)^{2}}{24}+\frac{b \,x^{3} f^{a} f^{\frac{b}{x}} \ln \left(f \right)}{12}+\frac{x^{4} f^{a} f^{\frac{b}{x}}}{4}"," ",0,"1/4*f^a*f^(b/x)*x^4+1/12*b*ln(f)*f^a*f^(b/x)*x^3+1/24*b^2*ln(f)^2*f^a*f^(b/x)*x^2+1/24*b^3*ln(f)^3*f^a*f^(b/x)*x+1/24*b^4*ln(f)^4*f^a*Ei(1,-b/x*ln(f))","B"
118,1,77,71,0.088000," ","int(f^(a+b/x)*x^2,x)","\frac{b^{3} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x}\right) \ln \left(f \right)^{3}}{6}+\frac{b^{2} x \,f^{a} f^{\frac{b}{x}} \ln \left(f \right)^{2}}{6}+\frac{b \,x^{2} f^{a} f^{\frac{b}{x}} \ln \left(f \right)}{6}+\frac{x^{3} f^{a} f^{\frac{b}{x}}}{3}"," ",0,"1/3*f^a*f^(b/x)*x^3+1/6*b*ln(f)*f^a*f^(b/x)*x^2+1/6*b^2*ln(f)^2*f^a*f^(b/x)*x+1/6*b^3*ln(f)^3*f^a*Ei(1,-b/x*ln(f))","A"
119,1,55,50,0.086000," ","int(f^(a+b/x)*x,x)","\frac{b^{2} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x}\right) \ln \left(f \right)^{2}}{2}+\frac{b x \,f^{a} f^{\frac{b}{x}} \ln \left(f \right)}{2}+\frac{x^{2} f^{a} f^{\frac{b}{x}}}{2}"," ",0,"1/2*f^a*f^(b/x)*x^2+1/2*b*ln(f)*f^a*f^(b/x)*x+1/2*b^2*ln(f)^2*f^a*Ei(1,-b/x*ln(f))","A"
120,1,31,28,0.084000," ","int(f^(a+b/x),x)","b \,f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x}\right) \ln \left(f \right)+x \,f^{a} f^{\frac{b}{x}}"," ",0,"b*ln(f)*f^a*Ei(1,-b/x*ln(f))+f^a*f^(b/x)*x","A"
121,1,15,13,0.083000," ","int(f^(a+b/x)/x,x)","f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x}\right)"," ",0,"f^a*Ei(1,-b/x*ln(f))","A"
122,1,19,18,0.003000," ","int(f^(a+b/x)/x^2,x)","-\frac{f^{a +\frac{b}{x}}}{b \ln \left(f \right)}"," ",0,"-f^(a+b/x)/b/ln(f)","A"
123,1,49,39,0.023000," ","int(f^(a+b/x)/x^3,x)","\frac{-\frac{x \,{\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b \ln \left(f \right)}+\frac{x^{2} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}}{x^{2}}"," ",0,"(1/b^2/ln(f)^2*x^2*exp((a+b/x)*ln(f))-1/b/ln(f)*x*exp((a+b/x)*ln(f)))/x^2","A"
124,1,73,61,0.025000," ","int(f^(a+b/x)/x^4,x)","\frac{-\frac{x \,{\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b \ln \left(f \right)}+\frac{2 x^{2} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}-\frac{2 x^{3} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}}{x^{3}}"," ",0,"(-2/b^3/ln(f)^3*x^3*exp((a+b/x)*ln(f))+2/b^2*x^2*exp((a+b/x)*ln(f))/ln(f)^2-1/b*x*exp((a+b/x)*ln(f))/ln(f))/x^3","A"
125,1,96,82,0.026000," ","int(f^(a+b/x)/x^5,x)","\frac{-\frac{x \,{\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b \ln \left(f \right)}+\frac{3 x^{2} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}-\frac{6 x^{3} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{6 x^{4} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}}{x^{4}}"," ",0,"(6/b^4/ln(f)^4*x^4*exp((a+b/x)*ln(f))-6/b^3*x^3*exp((a+b/x)*ln(f))/ln(f)^3+3/b^2*x^2*exp((a+b/x)*ln(f))/ln(f)^2-1/b*x*exp((a+b/x)*ln(f))/ln(f))/x^4","A"
126,1,119,65,0.029000," ","int(f^(a+b/x)/x^6,x)","\frac{-\frac{x \,{\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b \ln \left(f \right)}+\frac{4 x^{2} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}-\frac{12 x^{3} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{24 x^{4} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}-\frac{24 x^{5} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{5} \ln \left(f \right)^{5}}}{x^{5}}"," ",0,"(-24/b^5/ln(f)^5*x^5*exp((a+b/x)*ln(f))+24/b^4*x^4*exp((a+b/x)*ln(f))/ln(f)^4-12/b^3*x^3*exp((a+b/x)*ln(f))/ln(f)^3+4/b^2*x^2*exp((a+b/x)*ln(f))/ln(f)^2-1/b*x*exp((a+b/x)*ln(f))/ln(f))/x^5","A"
127,1,142,77,0.029000," ","int(f^(a+b/x)/x^7,x)","\frac{-\frac{x \,{\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b \ln \left(f \right)}+\frac{5 x^{2} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}-\frac{20 x^{3} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{60 x^{4} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}-\frac{120 x^{5} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{5} \ln \left(f \right)^{5}}+\frac{120 x^{6} {\mathrm e}^{\left(a +\frac{b}{x}\right) \ln \left(f \right)}}{b^{6} \ln \left(f \right)^{6}}}{x^{6}}"," ",0,"(120/b^6/ln(f)^6*x^6*exp((a+b/x)*ln(f))-120/b^5*x^5*exp((a+b/x)*ln(f))/ln(f)^5+60/b^4*x^4*exp((a+b/x)*ln(f))/ln(f)^4-20/b^3*x^3*exp((a+b/x)*ln(f))/ln(f)^3+5/b^2*x^2*exp((a+b/x)*ln(f))/ln(f)^2-1/b*x*exp((a+b/x)*ln(f))/ln(f))/x^6","A"
128,1,169,38,0.058000," ","int(f^(a+b/x^2)*x^m,x)","-\frac{\left(\frac{2 b \,x^{m -1} \left(-b \right)^{-\frac{m}{2}-\frac{1}{2}} \left(-\frac{b \ln \left(f \right)}{x^{2}}\right)^{\frac{m}{2}-\frac{1}{2}} \ln \left(f \right)^{-\frac{m}{2}+\frac{1}{2}} \Gamma \left(-\frac{m}{2}+\frac{1}{2}\right)}{m +1}-\frac{2 b \,x^{m -1} \left(-b \right)^{-\frac{m}{2}-\frac{1}{2}} \left(-\frac{b \ln \left(f \right)}{x^{2}}\right)^{\frac{m}{2}-\frac{1}{2}} \ln \left(f \right)^{-\frac{m}{2}+\frac{1}{2}} \Gamma \left(-\frac{m}{2}+\frac{1}{2}, -\frac{b \ln \left(f \right)}{x^{2}}\right)}{m +1}-\frac{2 x^{m +1} \left(-b \right)^{-\frac{m}{2}-\frac{1}{2}} \ln \left(f \right)^{-\frac{m}{2}-\frac{1}{2}} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{2}}}}{m +1}\right) f^{a} \left(-b \right)^{\frac{m}{2}+\frac{1}{2}} \ln \left(f \right)^{\frac{m}{2}+\frac{1}{2}}}{2}"," ",0,"-1/2*f^a*(-b)^(1/2*m+1/2)*ln(f)^(1/2*m+1/2)*(2/(m+1)*x^(m-1)*(-b)^(-1/2*m-1/2)*ln(f)^(1/2-1/2*m)*b*(-b*ln(f)/x^2)^(-1/2+1/2*m)*GAMMA(1/2-1/2*m)-2/(m+1)*x^(m+1)*(-b)^(-1/2*m-1/2)*ln(f)^(-1/2*m-1/2)*exp(b*ln(f)/x^2)-2/(m+1)*x^(m-1)*(-b)^(-1/2*m-1/2)*ln(f)^(1/2-1/2*m)*b*(-b*ln(f)/x^2)^(-1/2+1/2*m)*GAMMA(1/2-1/2*m,-b*ln(f)/x^2))","B"
129,1,123,18,0.085000," ","int(f^(a+b/x^2)*x^9,x)","\frac{b^{5} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x^{2}}\right) \ln \left(f \right)^{5}}{240}+\frac{b^{4} x^{2} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{4}}{240}+\frac{b^{3} x^{4} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{3}}{240}+\frac{b^{2} x^{6} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{2}}{120}+\frac{b \,x^{8} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{40}+\frac{x^{10} f^{a} f^{\frac{b}{x^{2}}}}{10}"," ",0,"1/10*f^a*x^10*f^(b/x^2)+1/40*f^a*ln(f)*b*x^8*f^(b/x^2)+1/120*f^a*ln(f)^2*b^2*x^6*f^(b/x^2)+1/240*f^a*ln(f)^3*b^3*x^4*f^(b/x^2)+1/240*f^a*ln(f)^4*b^4*x^2*f^(b/x^2)+1/240*f^a*ln(f)^5*b^5*Ei(1,-b/x^2*ln(f))","B"
130,1,101,18,0.067000," ","int(f^(a+b/x^2)*x^7,x)","\frac{b^{4} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x^{2}}\right) \ln \left(f \right)^{4}}{48}+\frac{b^{3} x^{2} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{3}}{48}+\frac{b^{2} x^{4} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{2}}{48}+\frac{b \,x^{6} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{24}+\frac{x^{8} f^{a} f^{\frac{b}{x^{2}}}}{8}"," ",0,"1/8*f^a*x^8*f^(b/x^2)+1/24*f^a*ln(f)*b*x^6*f^(b/x^2)+1/48*f^a*ln(f)^2*b^2*x^4*f^(b/x^2)+1/48*f^a*ln(f)^3*b^3*x^2*f^(b/x^2)+1/48*f^a*ln(f)^4*b^4*Ei(1,-b/x^2*ln(f))","B"
131,1,79,73,0.056000," ","int(f^(a+b/x^2)*x^5,x)","\frac{b^{3} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x^{2}}\right) \ln \left(f \right)^{3}}{12}+\frac{b^{2} x^{2} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{2}}{12}+\frac{b \,x^{4} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{12}+\frac{x^{6} f^{a} f^{\frac{b}{x^{2}}}}{6}"," ",0,"1/6*f^a*x^6*f^(b/x^2)+1/12*f^a*ln(f)*b*x^4*f^(b/x^2)+1/12*f^a*ln(f)^2*b^2*x^2*f^(b/x^2)+1/12*f^a*ln(f)^3*b^3*Ei(1,-b/x^2*ln(f))","A"
132,1,57,52,0.051000," ","int(f^(a+b/x^2)*x^3,x)","\frac{b^{2} f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x^{2}}\right) \ln \left(f \right)^{2}}{4}+\frac{b \,x^{2} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{4}+\frac{x^{4} f^{a} f^{\frac{b}{x^{2}}}}{4}"," ",0,"1/4*f^a*x^4*f^(b/x^2)+1/4*f^a*ln(f)*b*x^2*f^(b/x^2)+1/4*f^a*ln(f)^2*b^2*Ei(1,-b/x^2*ln(f))","A"
133,1,35,31,0.045000," ","int(f^(a+b/x^2)*x,x)","\frac{b \,f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x^{2}}\right) \ln \left(f \right)}{2}+\frac{x^{2} f^{a} f^{\frac{b}{x^{2}}}}{2}"," ",0,"1/2*f^a*x^2*f^(b/x^2)+1/2*f^a*ln(f)*b*Ei(1,-b/x^2*ln(f))","A"
134,1,16,13,0.043000," ","int(f^(a+b/x^2)/x,x)","\frac{f^{a} \Ei \left(1, -\frac{b \ln \left(f \right)}{x^{2}}\right)}{2}"," ",0,"1/2*f^a*Ei(1,-b/x^2*ln(f))","A"
135,1,19,18,0.003000," ","int(f^(a+b/x^2)/x^3,x)","-\frac{f^{a +\frac{b}{x^{2}}}}{2 b \ln \left(f \right)}"," ",0,"-1/2*f^(a+b/x^2)/b/ln(f)","A"
136,1,52,40,0.023000," ","int(f^(a+b/x^2)/x^5,x)","\frac{-\frac{x^{2} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b \ln \left(f \right)}+\frac{x^{4} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b^{2} \ln \left(f \right)^{2}}}{x^{4}}"," ",0,"(1/2/b^2/ln(f)^2*x^4*exp((a+b/x^2)*ln(f))-1/2/b/ln(f)*x^2*exp((a+b/x^2)*ln(f)))/x^4","A"
137,1,74,60,0.028000," ","int(f^(a+b/x^2)/x^7,x)","\frac{-\frac{x^{2} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b \ln \left(f \right)}+\frac{x^{4} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}-\frac{x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}}{x^{6}}"," ",0,"(1/b^2*x^4*exp((a+b/x^2)*ln(f))/ln(f)^2-1/b^3/ln(f)^3*x^6*exp((a+b/x^2)*ln(f))-1/2/b*x^2*exp((a+b/x^2)*ln(f))/ln(f))/x^6","A"
138,1,98,82,0.032000," ","int(f^(a+b/x^2)/x^9,x)","\frac{-\frac{x^{2} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b \ln \left(f \right)}+\frac{3 x^{4} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b^{2} \ln \left(f \right)^{2}}-\frac{3 x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{3 x^{8} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}}{x^{8}}"," ",0,"(3/b^4/ln(f)^4*x^8*exp((a+b/x^2)*ln(f))-3/b^3*x^6*exp((a+b/x^2)*ln(f))/ln(f)^3+3/2/b^2*x^4*exp((a+b/x^2)*ln(f))/ln(f)^2-1/2/b*x^2*exp((a+b/x^2)*ln(f))/ln(f))/x^8","A"
139,1,121,67,0.034000," ","int(f^(a+b/x^2)/x^11,x)","\frac{-\frac{x^{2} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b \ln \left(f \right)}+\frac{2 x^{4} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}-\frac{6 x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{12 x^{8} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}-\frac{12 x^{10} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{5} \ln \left(f \right)^{5}}}{x^{10}}"," ",0,"(-12/b^5/ln(f)^5*x^10*exp((a+b/x^2)*ln(f))+12/b^4*x^8*exp((a+b/x^2)*ln(f))/ln(f)^4-6/b^3*x^6*exp((a+b/x^2)*ln(f))/ln(f)^3+2/b^2*x^4*exp((a+b/x^2)*ln(f))/ln(f)^2-1/2/b*x^2*exp((a+b/x^2)*ln(f))/ln(f))/x^10","A"
140,1,144,80,0.039000," ","int(f^(a+b/x^2)/x^13,x)","\frac{-\frac{x^{2} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b \ln \left(f \right)}+\frac{5 x^{4} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{2 b^{2} \ln \left(f \right)^{2}}-\frac{10 x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{30 x^{8} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}-\frac{60 x^{10} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{5} \ln \left(f \right)^{5}}+\frac{60 x^{12} {\mathrm e}^{\left(a +\frac{b}{x^{2}}\right) \ln \left(f \right)}}{b^{6} \ln \left(f \right)^{6}}}{x^{12}}"," ",0,"(60/b^6/ln(f)^6*x^12*exp((a+b/x^2)*ln(f))-60/b^5*x^10*exp((a+b/x^2)*ln(f))/ln(f)^5+30/b^4*x^8*exp((a+b/x^2)*ln(f))/ln(f)^4-10/b^3*x^6*exp((a+b/x^2)*ln(f))/ln(f)^3+5/2/b^2*x^4*exp((a+b/x^2)*ln(f))/ln(f)^2-1/2/b*x^2*exp((a+b/x^2)*ln(f))/ln(f))/x^12","A"
141,1,155,155,0.131000," ","int(f^(a+b/x^2)*x^10,x)","-\frac{32 \sqrt{\pi}\, b^{6} f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right) \ln \left(f \right)^{6}}{10395 \sqrt{-b \ln \left(f \right)}}+\frac{32 b^{5} x \,f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{5}}{10395}+\frac{16 b^{4} x^{3} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{4}}{10395}+\frac{8 b^{3} x^{5} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{3}}{3465}+\frac{4 b^{2} x^{7} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{2}}{693}+\frac{2 b \,x^{9} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{99}+\frac{x^{11} f^{a} f^{\frac{b}{x^{2}}}}{11}"," ",0,"1/11*f^a*x^11*f^(b/x^2)+2/99*f^a*ln(f)*b*x^9*f^(b/x^2)+4/693*f^a*ln(f)^2*b^2*x^7*f^(b/x^2)+8/3465*f^a*ln(f)^3*b^3*x^5*f^(b/x^2)+16/10395*f^a*ln(f)^4*b^4*x^3*f^(b/x^2)+32/10395*f^a*ln(f)^5*b^5*x*f^(b/x^2)-32/10395*f^a*ln(f)^6*b^6*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
142,1,133,135,0.081000," ","int(f^(a+b/x^2)*x^8,x)","-\frac{16 \sqrt{\pi}\, b^{5} f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right) \ln \left(f \right)^{5}}{945 \sqrt{-b \ln \left(f \right)}}+\frac{16 b^{4} x \,f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{4}}{945}+\frac{8 b^{3} x^{3} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{3}}{945}+\frac{4 b^{2} x^{5} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{2}}{315}+\frac{2 b \,x^{7} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{63}+\frac{x^{9} f^{a} f^{\frac{b}{x^{2}}}}{9}"," ",0,"1/9*f^a*x^9*f^(b/x^2)+2/63*f^a*ln(f)*b*x^7*f^(b/x^2)+4/315*f^a*ln(f)^2*b^2*x^5*f^(b/x^2)+8/945*f^a*ln(f)^3*b^3*x^3*f^(b/x^2)+16/945*f^a*ln(f)^4*b^4*x*f^(b/x^2)-16/945*f^a*ln(f)^5*b^5*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
143,1,111,99,0.067000," ","int(f^(a+b/x^2)*x^6,x)","-\frac{8 \sqrt{\pi}\, b^{4} f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right) \ln \left(f \right)^{4}}{105 \sqrt{-b \ln \left(f \right)}}+\frac{8 b^{3} x \,f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{3}}{105}+\frac{4 b^{2} x^{3} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{2}}{105}+\frac{2 b \,x^{5} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{35}+\frac{x^{7} f^{a} f^{\frac{b}{x^{2}}}}{7}"," ",0,"1/7*f^a*x^7*f^(b/x^2)+2/35*f^a*ln(f)*b*x^5*f^(b/x^2)+4/105*f^a*ln(f)^2*b^2*x^3*f^(b/x^2)+8/105*f^a*ln(f)^3*b^3*x*f^(b/x^2)-8/105*f^a*ln(f)^4*b^4*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
144,1,89,78,0.060000," ","int(f^(a+b/x^2)*x^4,x)","-\frac{4 \sqrt{\pi}\, b^{3} f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right) \ln \left(f \right)^{3}}{15 \sqrt{-b \ln \left(f \right)}}+\frac{4 b^{2} x \,f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)^{2}}{15}+\frac{2 b \,x^{3} f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{15}+\frac{x^{5} f^{a} f^{\frac{b}{x^{2}}}}{5}"," ",0,"1/5*f^a*x^5*f^(b/x^2)+2/15*f^a*ln(f)*b*x^3*f^(b/x^2)+4/15*f^a*ln(f)^2*b^2*x*f^(b/x^2)-4/15*f^a*ln(f)^3*b^3*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
145,1,67,57,0.055000," ","int(f^(a+b/x^2)*x^2,x)","-\frac{2 \sqrt{\pi}\, b^{2} f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right) \ln \left(f \right)^{2}}{3 \sqrt{-b \ln \left(f \right)}}+\frac{2 b x \,f^{a} f^{\frac{b}{x^{2}}} \ln \left(f \right)}{3}+\frac{x^{3} f^{a} f^{\frac{b}{x^{2}}}}{3}"," ",0,"1/3*f^a*x^3*f^(b/x^2)+2/3*f^a*ln(f)*b*x*f^(b/x^2)-2/3*f^a*ln(f)^2*b^2*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
146,1,44,39,0.049000," ","int(f^(a+b/x^2),x)","-\frac{\sqrt{\pi}\, b \,f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right) \ln \left(f \right)}{\sqrt{-b \ln \left(f \right)}}+x \,f^{a} f^{\frac{b}{x^{2}}}"," ",0,"f^a*x*f^(b/x^2)-f^a*ln(f)*b*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
147,1,28,27,0.049000," ","int(f^(a+b/x^2)/x^2,x)","-\frac{\sqrt{\pi}\, f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right)}{2 \sqrt{-b \ln \left(f \right)}}"," ",0,"-1/2*f^a*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
148,1,58,49,0.056000," ","int(f^(a+b/x^2)/x^4,x)","\frac{\sqrt{\pi}\, f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right)}{4 \sqrt{-b \ln \left(f \right)}\, b \ln \left(f \right)}-\frac{f^{a} f^{\frac{b}{x^{2}}}}{2 b x \ln \left(f \right)}"," ",0,"-1/2*f^a*f^(b/x^2)/x/b/ln(f)+1/4*f^a/ln(f)/b*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
149,1,80,70,0.064000," ","int(f^(a+b/x^2)/x^6,x)","-\frac{3 \sqrt{\pi}\, f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right)}{8 \sqrt{-b \ln \left(f \right)}\, b^{2} \ln \left(f \right)^{2}}-\frac{f^{a} f^{\frac{b}{x^{2}}}}{2 b \,x^{3} \ln \left(f \right)}+\frac{3 f^{a} f^{\frac{b}{x^{2}}}}{4 b^{2} x \ln \left(f \right)^{2}}"," ",0,"-1/2*f^a*f^(b/x^2)/x^3/b/ln(f)+3/4*f^a/ln(f)^2/b^2*f^(b/x^2)/x-3/8*f^a/ln(f)^2/b^2*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
150,1,102,91,0.073000," ","int(f^(a+b/x^2)/x^8,x)","\frac{15 \sqrt{\pi}\, f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right)}{16 \sqrt{-b \ln \left(f \right)}\, b^{3} \ln \left(f \right)^{3}}-\frac{f^{a} f^{\frac{b}{x^{2}}}}{2 b \,x^{5} \ln \left(f \right)}+\frac{5 f^{a} f^{\frac{b}{x^{2}}}}{4 b^{2} x^{3} \ln \left(f \right)^{2}}-\frac{15 f^{a} f^{\frac{b}{x^{2}}}}{8 b^{3} x \ln \left(f \right)^{3}}"," ",0,"-1/2*f^a*f^(b/x^2)/x^5/b/ln(f)+5/4*f^a/ln(f)^2/b^2*f^(b/x^2)/x^3-15/8*f^a/ln(f)^3/b^3*f^(b/x^2)/x+15/16*f^a/ln(f)^3/b^3*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
151,1,124,112,0.087000," ","int(f^(a+b/x^2)/x^10,x)","-\frac{105 \sqrt{\pi}\, f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right)}{32 \sqrt{-b \ln \left(f \right)}\, b^{4} \ln \left(f \right)^{4}}-\frac{f^{a} f^{\frac{b}{x^{2}}}}{2 b \,x^{7} \ln \left(f \right)}+\frac{7 f^{a} f^{\frac{b}{x^{2}}}}{4 b^{2} x^{5} \ln \left(f \right)^{2}}-\frac{35 f^{a} f^{\frac{b}{x^{2}}}}{8 b^{3} x^{3} \ln \left(f \right)^{3}}+\frac{105 f^{a} f^{\frac{b}{x^{2}}}}{16 b^{4} x \ln \left(f \right)^{4}}"," ",0,"-1/2*f^a*f^(b/x^2)/x^7/b/ln(f)+7/4*f^a/ln(f)^2/b^2*f^(b/x^2)/x^5-35/8*f^a/ln(f)^3/b^3*f^(b/x^2)/x^3+105/16*f^a/ln(f)^4/b^4*f^(b/x^2)/x-105/32*f^a/ln(f)^4/b^4*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
152,1,146,431,0.116000," ","int(f^(a+b/x^2)/x^12,x)","\frac{945 \sqrt{\pi}\, f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right)}{64 \sqrt{-b \ln \left(f \right)}\, b^{5} \ln \left(f \right)^{5}}-\frac{f^{a} f^{\frac{b}{x^{2}}}}{2 b \,x^{9} \ln \left(f \right)}+\frac{9 f^{a} f^{\frac{b}{x^{2}}}}{4 b^{2} x^{7} \ln \left(f \right)^{2}}-\frac{63 f^{a} f^{\frac{b}{x^{2}}}}{8 b^{3} x^{5} \ln \left(f \right)^{3}}+\frac{315 f^{a} f^{\frac{b}{x^{2}}}}{16 b^{4} x^{3} \ln \left(f \right)^{4}}-\frac{945 f^{a} f^{\frac{b}{x^{2}}}}{32 b^{5} x \ln \left(f \right)^{5}}"," ",0,"-1/2*f^a*f^(b/x^2)/x^9/b/ln(f)+9/4*f^a/ln(f)^2/b^2*f^(b/x^2)/x^7-63/8*f^a/ln(f)^3/b^3*f^(b/x^2)/x^5+315/16*f^a/ln(f)^4/b^4*f^(b/x^2)/x^3-945/32*f^a/ln(f)^5/b^5*f^(b/x^2)/x+945/64*f^a/ln(f)^5/b^5*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
153,1,168,411,0.151000," ","int(f^(a+b/x^2)/x^14,x)","-\frac{10395 \sqrt{\pi}\, f^{a} \erf \left(\frac{\sqrt{-b \ln \left(f \right)}}{x}\right)}{128 \sqrt{-b \ln \left(f \right)}\, b^{6} \ln \left(f \right)^{6}}-\frac{f^{a} f^{\frac{b}{x^{2}}}}{2 b \,x^{11} \ln \left(f \right)}+\frac{11 f^{a} f^{\frac{b}{x^{2}}}}{4 b^{2} x^{9} \ln \left(f \right)^{2}}-\frac{99 f^{a} f^{\frac{b}{x^{2}}}}{8 b^{3} x^{7} \ln \left(f \right)^{3}}+\frac{693 f^{a} f^{\frac{b}{x^{2}}}}{16 b^{4} x^{5} \ln \left(f \right)^{4}}-\frac{3465 f^{a} f^{\frac{b}{x^{2}}}}{32 b^{5} x^{3} \ln \left(f \right)^{5}}+\frac{10395 f^{a} f^{\frac{b}{x^{2}}}}{64 b^{6} x \ln \left(f \right)^{6}}"," ",0,"-1/2*f^a*f^(b/x^2)/x^11/b/ln(f)+11/4*f^a/ln(f)^2/b^2*f^(b/x^2)/x^9-99/8*f^a/ln(f)^3/b^3*f^(b/x^2)/x^7+693/16*f^a/ln(f)^4/b^4*f^(b/x^2)/x^5-3465/32*f^a/ln(f)^5/b^5*f^(b/x^2)/x^3+10395/64*f^a/ln(f)^6/b^6*f^(b/x^2)/x-10395/128*f^a/ln(f)^6/b^6*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)/x)","A"
154,1,169,38,0.058000," ","int(f^(a+b/x^3)*x^m,x)","-\frac{\left(\frac{3 b \,x^{m -2} \left(-b \right)^{-\frac{m}{3}-\frac{1}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{m}{3}-\frac{2}{3}} \ln \left(f \right)^{-\frac{m}{3}+\frac{2}{3}} \Gamma \left(-\frac{m}{3}+\frac{2}{3}\right)}{m +1}-\frac{3 b \,x^{m -2} \left(-b \right)^{-\frac{m}{3}-\frac{1}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{m}{3}-\frac{2}{3}} \ln \left(f \right)^{-\frac{m}{3}+\frac{2}{3}} \Gamma \left(-\frac{m}{3}+\frac{2}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right)}{m +1}-\frac{3 x^{m +1} \left(-b \right)^{-\frac{m}{3}-\frac{1}{3}} \ln \left(f \right)^{-\frac{m}{3}-\frac{1}{3}} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{m +1}\right) f^{a} \left(-b \right)^{\frac{m}{3}+\frac{1}{3}} \ln \left(f \right)^{\frac{m}{3}+\frac{1}{3}}}{3}"," ",0,"-1/3*f^a*(-b)^(1/3*m+1/3)*ln(f)^(1/3*m+1/3)*(3/(m+1)*x^(-2+m)*(-b)^(-1/3*m-1/3)*ln(f)^(2/3-1/3*m)*b*(-b*ln(f)/x^3)^(-2/3+1/3*m)*GAMMA(2/3-1/3*m)-3/(m+1)*x^(m+1)*(-b)^(-1/3*m-1/3)*ln(f)^(-1/3*m-1/3)*exp(b*ln(f)/x^3)-3/(m+1)*x^(-2+m)*(-b)^(-1/3*m-1/3)*ln(f)^(2/3-1/3*m)*b*(-b*ln(f)/x^3)^(-2/3+1/3*m)*GAMMA(2/3-1/3*m,-b*ln(f)/x^3))","B"
155,1,249,18,0.088000," ","int(f^(a+b/x^3)*x^14,x)","\frac{\left(\frac{\left(\frac{36 b \ln \left(f \right)}{x^{3}}+\frac{12 b^{2} \ln \left(f \right)^{2}}{x^{6}}+\frac{6 b^{3} \ln \left(f \right)^{3}}{x^{9}}+\frac{6 b^{4} \ln \left(f \right)^{4}}{x^{12}}+144\right) x^{15} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{720 b^{5} \ln \left(f \right)^{5}}-\frac{\left(\frac{1800 b \ln \left(f \right)}{x^{3}}+\frac{1200 b^{2} \ln \left(f \right)^{2}}{x^{6}}+\frac{600 b^{3} \ln \left(f \right)^{3}}{x^{9}}+\frac{300 b^{4} \ln \left(f \right)^{4}}{x^{12}}+\frac{137 b^{5} \ln \left(f \right)^{5}}{x^{15}}+1440\right) x^{15}}{7200 b^{5} \ln \left(f \right)^{5}}+\frac{x^{15}}{5 b^{5} \ln \left(f \right)^{5}}+\frac{x^{12}}{4 b^{4} \ln \left(f \right)^{4}}+\frac{x^{9}}{6 b^{3} \ln \left(f \right)^{3}}+\frac{x^{6}}{12 b^{2} \ln \left(f \right)^{2}}+\frac{x^{3}}{24 b \ln \left(f \right)}+\frac{\Ei \left(1, -\frac{b \ln \left(f \right)}{x^{3}}\right)}{120}+\frac{\ln \left(x \right)}{40}-\frac{\ln \left(-b \right)}{120}+\frac{\ln \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)}{120}-\frac{\ln \left(\ln \left(f \right)\right)}{120}+\frac{137}{7200}\right) b^{5} f^{a} \ln \left(f \right)^{5}}{3}"," ",0,"1/3*f^a*b^5*ln(f)^5*(-1/7200/b^5*x^15/ln(f)^5*(137*b^5/x^15*ln(f)^5+300*b^4/x^12*ln(f)^4+600*b^3/x^9*ln(f)^3+1200*b^2/x^6*ln(f)^2+1800*b/x^3*ln(f)+1440)+1/720/b^5*x^15/ln(f)^5*(6*b^4/x^12*ln(f)^4+6*b^3/x^9*ln(f)^3+12*b^2/x^6*ln(f)^2+36*b/x^3*ln(f)+144)*exp(b/x^3*ln(f))+1/120*ln(-b/x^3*ln(f))+1/120*Ei(1,-b/x^3*ln(f))+137/7200+1/40*ln(x)-1/120*ln(-b)-1/120*ln(ln(f))+1/5*x^15/b^5/ln(f)^5+1/4*x^12/b^4/ln(f)^4+1/6*x^9/b^3/ln(f)^3+1/12*x^6/b^2/ln(f)^2+1/24*x^3/b/ln(f))","B"
156,1,213,18,0.079000," ","int(f^(a+b/x^3)*x^11,x)","-\frac{\left(-\frac{\left(\frac{10 b \ln \left(f \right)}{x^{3}}+\frac{5 b^{2} \ln \left(f \right)^{2}}{x^{6}}+\frac{5 b^{3} \ln \left(f \right)^{3}}{x^{9}}+30\right) x^{12} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{120 b^{4} \ln \left(f \right)^{4}}+\frac{\left(\frac{480 b \ln \left(f \right)}{x^{3}}+\frac{360 b^{2} \ln \left(f \right)^{2}}{x^{6}}+\frac{240 b^{3} \ln \left(f \right)^{3}}{x^{9}}+\frac{125 b^{4} \ln \left(f \right)^{4}}{x^{12}}+360\right) x^{12}}{1440 b^{4} \ln \left(f \right)^{4}}-\frac{x^{12}}{4 b^{4} \ln \left(f \right)^{4}}-\frac{x^{9}}{3 b^{3} \ln \left(f \right)^{3}}-\frac{x^{6}}{4 b^{2} \ln \left(f \right)^{2}}-\frac{x^{3}}{6 b \ln \left(f \right)}-\frac{\Ei \left(1, -\frac{b \ln \left(f \right)}{x^{3}}\right)}{24}-\frac{\ln \left(x \right)}{8}+\frac{\ln \left(-b \right)}{24}-\frac{\ln \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)}{24}+\frac{\ln \left(\ln \left(f \right)\right)}{24}-\frac{25}{288}\right) b^{4} f^{a} \ln \left(f \right)^{4}}{3}"," ",0,"-1/3*f^a*b^4*ln(f)^4*(1/1440/b^4*x^12/ln(f)^4*(125*b^4/x^12*ln(f)^4+240*b^3/x^9*ln(f)^3+360*b^2/x^6*ln(f)^2+480*b/x^3*ln(f)+360)-1/120/b^4*x^12/ln(f)^4*(5*b^3/x^9*ln(f)^3+5*b^2/x^6*ln(f)^2+10*b/x^3*ln(f)+30)*exp(b/x^3*ln(f))-1/24*ln(-b/x^3*ln(f))-1/24*Ei(1,-b/x^3*ln(f))-25/288-1/8*ln(x)+1/24*ln(-b)+1/24*ln(ln(f))-1/4/b^4*x^12/ln(f)^4-1/3/b^3*x^9/ln(f)^3-1/4/b^2*x^6/ln(f)^2-1/6/b*x^3/ln(f))","B"
157,1,177,73,0.074000," ","int(f^(a+b/x^3)*x^8,x)","\frac{\left(\frac{\left(\frac{4 b \ln \left(f \right)}{x^{3}}+\frac{4 b^{2} \ln \left(f \right)^{2}}{x^{6}}+8\right) x^{9} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{24 b^{3} \ln \left(f \right)^{3}}-\frac{\left(\frac{36 b \ln \left(f \right)}{x^{3}}+\frac{36 b^{2} \ln \left(f \right)^{2}}{x^{6}}+\frac{22 b^{3} \ln \left(f \right)^{3}}{x^{9}}+24\right) x^{9}}{72 b^{3} \ln \left(f \right)^{3}}+\frac{x^{9}}{3 b^{3} \ln \left(f \right)^{3}}+\frac{x^{6}}{2 b^{2} \ln \left(f \right)^{2}}+\frac{x^{3}}{2 b \ln \left(f \right)}+\frac{\Ei \left(1, -\frac{b \ln \left(f \right)}{x^{3}}\right)}{6}+\frac{\ln \left(x \right)}{2}-\frac{\ln \left(-b \right)}{6}+\frac{\ln \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)}{6}-\frac{\ln \left(\ln \left(f \right)\right)}{6}+\frac{11}{36}\right) b^{3} f^{a} \ln \left(f \right)^{3}}{3}"," ",0,"1/3*f^a*b^3*ln(f)^3*(-1/72/b^3*x^9/ln(f)^3*(22*b^3/x^9*ln(f)^3+36*b^2/x^6*ln(f)^2+36*b/x^3*ln(f)+24)+1/24/b^3*x^9/ln(f)^3*(4*b^2/x^6*ln(f)^2+4*b/x^3*ln(f)+8)*exp(b/x^3*ln(f))+1/6*ln(-b/x^3*ln(f))+1/6*Ei(1,-b/x^3*ln(f))+11/36+1/2*ln(x)-1/6*ln(-b)-1/6*ln(ln(f))+1/3/b^3*x^9/ln(f)^3+1/2/b^2*x^6/ln(f)^2+1/2/b*x^3/ln(f))","B"
158,1,141,52,0.068000," ","int(f^(a+b/x^3)*x^5,x)","-\frac{\left(-\frac{\left(\frac{3 b \ln \left(f \right)}{x^{3}}+3\right) x^{6} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{6 b^{2} \ln \left(f \right)^{2}}+\frac{\left(\frac{12 b \ln \left(f \right)}{x^{3}}+\frac{9 b^{2} \ln \left(f \right)^{2}}{x^{6}}+6\right) x^{6}}{12 b^{2} \ln \left(f \right)^{2}}-\frac{x^{6}}{2 b^{2} \ln \left(f \right)^{2}}-\frac{x^{3}}{b \ln \left(f \right)}-\frac{\Ei \left(1, -\frac{b \ln \left(f \right)}{x^{3}}\right)}{2}-\frac{3 \ln \left(x \right)}{2}+\frac{\ln \left(-b \right)}{2}-\frac{\ln \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)}{2}+\frac{\ln \left(\ln \left(f \right)\right)}{2}-\frac{3}{4}\right) b^{2} f^{a} \ln \left(f \right)^{2}}{3}"," ",0,"-1/3*f^a*b^2*ln(f)^2*(1/12/b^2*x^6/ln(f)^2*(9*b^2/x^6*ln(f)^2+12*b/x^3*ln(f)+6)-1/6/b^2*x^6/ln(f)^2*(3+3*b/x^3*ln(f))*exp(b/x^3*ln(f))-1/2*ln(-b/x^3*ln(f))-1/2*Ei(1,-b/x^3*ln(f))-3/4-3/2*ln(x)+1/2*ln(-b)+1/2*ln(ln(f))-1/2/b^2*x^6/ln(f)^2-1/b*x^3/ln(f))","B"
159,1,97,31,0.064000," ","int(f^(a+b/x^3)*x^2,x)","\frac{\left(\frac{x^{3} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{b \ln \left(f \right)}-\frac{\left(\frac{2 b \ln \left(f \right)}{x^{3}}+2\right) x^{3}}{2 b \ln \left(f \right)}+\frac{x^{3}}{b \ln \left(f \right)}+\Ei \left(1, -\frac{b \ln \left(f \right)}{x^{3}}\right)+3 \ln \left(x \right)-\ln \left(-b \right)+\ln \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)-\ln \left(\ln \left(f \right)\right)+1\right) b \,f^{a} \ln \left(f \right)}{3}"," ",0,"1/3*f^a*b*ln(f)*(-1/2/b*x^3/ln(f)*(2+2*b/x^3*ln(f))+1/b*x^3/ln(f)*exp(b/x^3*ln(f))+ln(-b/x^3*ln(f))+Ei(1,-b/x^3*ln(f))+1+3*ln(x)-ln(-b)-ln(ln(f))+1/b*x^3/ln(f))","B"
160,1,41,13,0.055000," ","int(f^(a+b/x^3)/x,x)","-\frac{\left(-\Ei \left(1, -\frac{b \ln \left(f \right)}{x^{3}}\right)-3 \ln \left(x \right)+\ln \left(-b \right)-\ln \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)+\ln \left(\ln \left(f \right)\right)\right) f^{a}}{3}"," ",0,"-1/3*f^a*(-ln(-b/x^3*ln(f))-Ei(1,-b/x^3*ln(f))-3*ln(x)+ln(-b)+ln(ln(f)))","B"
161,1,19,18,0.002000," ","int(f^(a+b/x^3)/x^4,x)","-\frac{f^{a +\frac{b}{x^{3}}}}{3 b \ln \left(f \right)}"," ",0,"-1/3*f^(a+b/x^3)/b/ln(f)","A"
162,1,52,40,0.028000," ","int(f^(a+b/x^3)/x^7,x)","\frac{\frac{x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b^{2} \ln \left(f \right)^{2}}-\frac{x^{3} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b \ln \left(f \right)}}{x^{6}}"," ",0,"(1/3/b^2/ln(f)^2*x^6*exp((a+b/x^3)*ln(f))-1/3/b/ln(f)*x^3*exp((a+b/x^3)*ln(f)))/x^6","A"
163,1,75,61,0.033000," ","int(f^(a+b/x^3)/x^10,x)","\frac{-\frac{2 x^{9} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b^{3} \ln \left(f \right)^{3}}+\frac{2 x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b^{2} \ln \left(f \right)^{2}}-\frac{x^{3} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b \ln \left(f \right)}}{x^{9}}"," ",0,"(-2/3/b^3/ln(f)^3*x^9*exp((a+b/x^3)*ln(f))+2/3/b^2*x^6*exp((a+b/x^3)*ln(f))/ln(f)^2-1/3/b*x^3*exp((a+b/x^3)*ln(f))/ln(f))/x^9","A"
164,1,97,81,0.041000," ","int(f^(a+b/x^3)/x^13,x)","\frac{\frac{2 x^{12} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}-\frac{2 x^{9} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{b^{2} \ln \left(f \right)^{2}}-\frac{x^{3} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b \ln \left(f \right)}}{x^{12}}"," ",0,"(1/b^2*x^6*exp((a+b/x^3)*ln(f))/ln(f)^2+2/b^4/ln(f)^4*x^12*exp((a+b/x^3)*ln(f))-2/b^3*x^9*exp((a+b/x^3)*ln(f))/ln(f)^3-1/3/b*x^3*exp((a+b/x^3)*ln(f))/ln(f))/x^12","A"
165,1,121,67,0.044000," ","int(f^(a+b/x^3)/x^16,x)","\frac{-\frac{8 x^{15} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{b^{5} \ln \left(f \right)^{5}}+\frac{8 x^{12} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{b^{4} \ln \left(f \right)^{4}}-\frac{4 x^{9} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{b^{3} \ln \left(f \right)^{3}}+\frac{4 x^{6} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b^{2} \ln \left(f \right)^{2}}-\frac{x^{3} {\mathrm e}^{\left(a +\frac{b}{x^{3}}\right) \ln \left(f \right)}}{3 b \ln \left(f \right)}}{x^{15}}"," ",0,"(-8/b^5/ln(f)^5*x^15*exp((a+b/x^3)*ln(f))+8/b^4*x^12*exp((a+b/x^3)*ln(f))/ln(f)^4-4/b^3*x^9*exp((a+b/x^3)*ln(f))/ln(f)^3+4/3/b^2*x^6*exp((a+b/x^3)*ln(f))/ln(f)^2-1/3/b*x^3*exp((a+b/x^3)*ln(f))/ln(f))/x^15","A"
166,1,84,80,0.031000," ","int(f^(a+b/x^3)/x^19,x)","-\frac{\left(-120 x^{15}+120 b \,x^{12} \ln \left(f \right)-60 b^{2} x^{9} \ln \left(f \right)^{2}+20 b^{3} x^{6} \ln \left(f \right)^{3}-5 b^{4} x^{3} \ln \left(f \right)^{4}+b^{5} \ln \left(f \right)^{5}\right) f^{\frac{a \,x^{3}+b}{x^{3}}}}{3 b^{6} x^{15} \ln \left(f \right)^{6}}"," ",0,"-1/3*(-120*x^15+120*b*x^12*ln(f)-60*b^2*x^9*ln(f)^2+20*b^3*x^6*ln(f)^3-5*b^4*x^3*ln(f)^4+b^5*ln(f)^5)/ln(f)^6/b^6/x^15*f^((a*x^3+b)/x^3)","A"
167,1,120,28,0.060000," ","int(f^(a+b/x^3)*x^4,x)","-\frac{\left(-b \right)^{\frac{5}{3}} \left(-\frac{3 \left(\frac{3 b \ln \left(f \right)}{2 x^{3}}+1\right) x^{5} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{5 \left(-b \right)^{\frac{5}{3}} \ln \left(f \right)^{\frac{5}{3}}}-\frac{9 b^{2} \Gamma \left(\frac{1}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right) \ln \left(f \right)^{\frac{1}{3}}}{10 \left(-b \right)^{\frac{5}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} x}+\frac{3 \pi  \sqrt{3}\, b^{2} \ln \left(f \right)^{\frac{1}{3}}}{5 \left(-b \right)^{\frac{5}{3}} \Gamma \left(\frac{2}{3}\right) \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} x}\right) f^{a} \ln \left(f \right)^{\frac{5}{3}}}{3}"," ",0,"-1/3*f^a*(-b)^(5/3)*ln(f)^(5/3)*(3/5/x/(-b)^(5/3)*ln(f)^(1/3)*b^2*Pi*3^(1/2)/GAMMA(2/3)/(-b/x^3*ln(f))^(1/3)-3/5*x^5/(-b)^(5/3)/ln(f)^(5/3)*(3/2*b/x^3*ln(f)+1)*exp(b/x^3*ln(f))-9/10/x/(-b)^(5/3)*ln(f)^(1/3)*b^2/(-b/x^3*ln(f))^(1/3)*GAMMA(1/3,-b/x^3*ln(f)))","B"
168,1,115,28,0.059000," ","int(f^(a+b/x^3)*x^3,x)","\frac{\left(-b \right)^{\frac{1}{3}} \left(-\frac{3 \left(\frac{3 b \ln \left(f \right)}{x^{3}}+1\right) x^{4} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{4 \left(-b \right)^{\frac{4}{3}} \ln \left(f \right)^{\frac{4}{3}}}-\frac{9 b^{2} \Gamma \left(\frac{2}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right) \ln \left(f \right)^{\frac{2}{3}}}{4 \left(-b \right)^{\frac{4}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{2}{3}} x^{2}}+\frac{9 \Gamma \left(\frac{2}{3}\right) b^{2} \ln \left(f \right)^{\frac{2}{3}}}{4 \left(-b \right)^{\frac{4}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{2}{3}} x^{2}}\right) b \,f^{a} \ln \left(f \right)^{\frac{4}{3}}}{3}"," ",0,"1/3*f^a*b*ln(f)^(4/3)*(-b)^(1/3)*(9/4/x^2/(-b)^(4/3)*ln(f)^(2/3)*b^2*GAMMA(2/3)/(-b/x^3*ln(f))^(2/3)-3/4*x^4/(-b)^(4/3)/ln(f)^(4/3)*(3*b/x^3*ln(f)+1)*exp(b/x^3*ln(f))-9/4/x^2/(-b)^(4/3)*ln(f)^(2/3)*b^2/(-b/x^3*ln(f))^(2/3)*GAMMA(2/3,-b/x^3*ln(f)))","B"
169,1,105,28,0.055000," ","int(f^(a+b/x^3)*x,x)","-\frac{\left(-b \right)^{\frac{2}{3}} \left(-\frac{3 x^{2} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{2 \left(-b \right)^{\frac{2}{3}} \ln \left(f \right)^{\frac{2}{3}}}-\frac{3 b \Gamma \left(\frac{1}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right) \ln \left(f \right)^{\frac{1}{3}}}{2 \left(-b \right)^{\frac{2}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} x}+\frac{\pi  \sqrt{3}\, b \ln \left(f \right)^{\frac{1}{3}}}{\left(-b \right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right) \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} x}\right) f^{a} \ln \left(f \right)^{\frac{2}{3}}}{3}"," ",0,"-1/3*f^a*(-b)^(2/3)*ln(f)^(2/3)*(1/x/(-b)^(2/3)*ln(f)^(1/3)*b*Pi*3^(1/2)/GAMMA(2/3)/(-b/x^3*ln(f))^(1/3)-3/2*x^2/(-b)^(2/3)/ln(f)^(2/3)*exp(b/x^3*ln(f))-3/2/x/(-b)^(2/3)*ln(f)^(1/3)*b/(-b/x^3*ln(f))^(1/3)*GAMMA(1/3,-b/x^3*ln(f)))","B"
170,1,98,26,0.051000," ","int(f^(a+b/x^3),x)","-\frac{\left(-b \right)^{\frac{1}{3}} \left(-\frac{3 x \,{\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}}}{\left(-b \right)^{\frac{1}{3}} \ln \left(f \right)^{\frac{1}{3}}}-\frac{3 b \Gamma \left(\frac{2}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right) \ln \left(f \right)^{\frac{2}{3}}}{\left(-b \right)^{\frac{1}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{2}{3}} x^{2}}+\frac{3 \Gamma \left(\frac{2}{3}\right) b \ln \left(f \right)^{\frac{2}{3}}}{\left(-b \right)^{\frac{1}{3}} \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{2}{3}} x^{2}}\right) f^{a} \ln \left(f \right)^{\frac{1}{3}}}{3}"," ",0,"-1/3*f^a*(-b)^(1/3)*ln(f)^(1/3)*(3/x^2/(-b)^(1/3)*ln(f)^(2/3)*b*GAMMA(2/3)/(-b/x^3*ln(f))^(2/3)-3*x/(-b)^(1/3)/ln(f)^(1/3)*exp(b/x^3*ln(f))-3/x^2/(-b)^(1/3)*ln(f)^(2/3)*b/(-b/x^3*ln(f))^(2/3)*GAMMA(2/3,-b/x^3*ln(f)))","B"
171,1,82,28,0.056000," ","int(f^(a+b/x^3)/x^2,x)","-\frac{\left(-\frac{\left(-b \right)^{\frac{1}{3}} \Gamma \left(\frac{1}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right) \ln \left(f \right)^{\frac{1}{3}}}{\left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} x}+\frac{2 \left(-b \right)^{\frac{1}{3}} \pi  \sqrt{3}\, \ln \left(f \right)^{\frac{1}{3}}}{3 \Gamma \left(\frac{2}{3}\right) \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} x}\right) f^{a}}{3 \left(-b \right)^{\frac{1}{3}} \ln \left(f \right)^{\frac{1}{3}}}"," ",0,"-1/3*f^a/(-b)^(1/3)/ln(f)^(1/3)*(2/3/x*(-b)^(1/3)*ln(f)^(1/3)*Pi*3^(1/2)/GAMMA(2/3)/(-b/x^3*ln(f))^(1/3)-1/x*(-b)^(1/3)*ln(f)^(1/3)/(-b/x^3*ln(f))^(1/3)*GAMMA(1/3,-b/x^3*ln(f)))","B"
172,1,78,28,0.055000," ","int(f^(a+b/x^3)/x^3,x)","\frac{\left(-b \right)^{\frac{1}{3}} \left(-\frac{\left(-b \right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right) \ln \left(f \right)^{\frac{2}{3}}}{\left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{2}{3}} x^{2}}+\frac{\left(-b \right)^{\frac{2}{3}} \Gamma \left(\frac{2}{3}\right) \ln \left(f \right)^{\frac{2}{3}}}{\left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{2}{3}} x^{2}}\right) f^{a}}{3 b \ln \left(f \right)^{\frac{2}{3}}}"," ",0,"1/3*f^a/b/ln(f)^(2/3)*(-b)^(1/3)*(1/x^2*(-b)^(2/3)*ln(f)^(2/3)*GAMMA(2/3)/(-b/x^3*ln(f))^(2/3)-1/x^2*(-b)^(2/3)*ln(f)^(2/3)/(-b/x^3*ln(f))^(2/3)*GAMMA(2/3,-b/x^3*ln(f)))","B"
173,1,112,28,0.065000," ","int(f^(a+b/x^3)/x^5,x)","-\frac{\left(\frac{\left(-b \right)^{\frac{4}{3}} \Gamma \left(\frac{1}{3}, -\frac{b \ln \left(f \right)}{x^{3}}\right) \ln \left(f \right)^{\frac{1}{3}}}{3 \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} b x}+\frac{\left(-b \right)^{\frac{4}{3}} {\mathrm e}^{\frac{b \ln \left(f \right)}{x^{3}}} \ln \left(f \right)^{\frac{1}{3}}}{b x}-\frac{2 \left(-b \right)^{\frac{4}{3}} \pi  \sqrt{3}\, \ln \left(f \right)^{\frac{1}{3}}}{9 \Gamma \left(\frac{2}{3}\right) \left(-\frac{b \ln \left(f \right)}{x^{3}}\right)^{\frac{1}{3}} b x}\right) f^{a}}{3 \left(-b \right)^{\frac{4}{3}} \ln \left(f \right)^{\frac{4}{3}}}"," ",0,"-1/3*f^a/(-b)^(4/3)/ln(f)^(4/3)*(-2/9/x*(-b)^(4/3)*ln(f)^(1/3)/b*Pi*3^(1/2)/GAMMA(2/3)/(-b/x^3*ln(f))^(1/3)+1/x*(-b)^(4/3)*ln(f)^(1/3)/b*exp(b/x^3*ln(f))+1/3/x*(-b)^(4/3)*ln(f)^(1/3)/b/(-b/x^3*ln(f))^(1/3)*GAMMA(1/3,-b/x^3*ln(f)))","B"
174,0,0,47,0.077000," ","int(f^(b*x^n+a)*x^m,x)","\int f^{b \,x^{n}+a} x^{m}\, dx"," ",0,"int(f^(b*x^n+a)*x^m,x)","F"
175,0,0,41,0.039000," ","int(f^(b*x^n+a)*x^3,x)","\int x^{3} f^{b \,x^{n}+a}\, dx"," ",0,"int(f^(b*x^n+a)*x^3,x)","F"
176,0,0,41,0.064000," ","int(f^(b*x^n+a)*x^2,x)","\int x^{2} f^{b \,x^{n}+a}\, dx"," ",0,"int(f^(b*x^n+a)*x^2,x)","F"
177,0,0,41,0.059000," ","int(f^(b*x^n+a)*x,x)","\int x \,f^{b \,x^{n}+a}\, dx"," ",0,"int(f^(b*x^n+a)*x,x)","F"
178,0,0,35,0.050000," ","int(f^(b*x^n+a),x)","\int f^{b \,x^{n}+a}\, dx"," ",0,"int(f^(b*x^n+a),x)","F"
179,1,19,15,0.210000," ","int(f^(b*x^n+a)/x,x)","-\frac{f^{a} \Ei \left(1, -b \,x^{n} \ln \left(f \right)\right)}{n}"," ",0,"-1/n*f^a*Ei(1,-b*x^n*ln(f))","A"
180,0,0,37,0.065000," ","int(f^(b*x^n+a)/x^2,x)","\int \frac{f^{b \,x^{n}+a}}{x^{2}}\, dx"," ",0,"int(f^(b*x^n+a)/x^2,x)","F"
181,0,0,39,0.036000," ","int(f^(b*x^n+a)/x^3,x)","\int \frac{f^{b \,x^{n}+a}}{x^{3}}\, dx"," ",0,"int(f^(b*x^n+a)/x^3,x)","F"
182,0,0,39,0.035000," ","int(f^(b*x^n+a)/x^4,x)","\int \frac{f^{b \,x^{n}+a}}{x^{4}}\, dx"," ",0,"int(f^(b*x^n+a)/x^4,x)","F"
183,1,44,71,0.020000," ","int(f^(b*x^n+a)*x^(-1+3*n),x)","\frac{\left(b^{2} x^{2 n} \ln \left(f \right)^{2}-2 b \,x^{n} \ln \left(f \right)+2\right) f^{b \,x^{n}+a}}{b^{3} n \ln \left(f \right)^{3}}"," ",0,"((x^n)^2*b^2*ln(f)^2-2*b*x^n*ln(f)+2)/b^3/ln(f)^3/n*f^(b*x^n+a)","A"
184,1,56,45,0.053000," ","int(f^(b*x^n+a)*x^(-1+2*n),x)","\frac{{\mathrm e}^{n \ln \left(x \right)} {\mathrm e}^{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right) \ln \left(f \right)}}{b n \ln \left(f \right)}-\frac{{\mathrm e}^{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right) \ln \left(f \right)}}{b^{2} n \ln \left(f \right)^{2}}"," ",0,"1/ln(f)/b/n*exp(n*ln(x))*exp((a+b*exp(n*ln(x)))*ln(f))-1/ln(f)^2/b^2/n*exp((a+b*exp(n*ln(x)))*ln(f))","A"
185,1,25,20,0.037000," ","int(f^(b*x^n+a)*x^(n-1),x)","\frac{{\mathrm e}^{\left(b \,{\mathrm e}^{n \ln \left(x \right)}+a \right) \ln \left(f \right)}}{b n \ln \left(f \right)}"," ",0,"1/ln(f)/b/n*exp((b*exp(n*ln(x))+a)*ln(f))","A"
186,1,19,15,0.032000," ","int(f^(b*x^n+a)/x,x)","-\frac{f^{a} \Ei \left(1, -b \,x^{n} \ln \left(f \right)\right)}{n}"," ",0,"-1/n*f^a*Ei(1,-b*x^n*ln(f))","A"
187,1,43,38,0.115000," ","int(f^(b*x^n+a)*x^(-1-n),x)","-\frac{b \,f^{a} \Ei \left(1, -b \,x^{n} \ln \left(f \right)\right) \ln \left(f \right)}{n}-\frac{f^{a} f^{b \,x^{n}} x^{-n}}{n}"," ",0,"-1/n*f^(b*x^n)*f^a/(x^n)-1/n*ln(f)*b*f^a*Ei(1,-b*x^n*ln(f))","A"
188,1,70,67,0.127000," ","int(f^(b*x^n+a)*x^(-1-2*n),x)","-\frac{b^{2} f^{a} \Ei \left(1, -b \,x^{n} \ln \left(f \right)\right) \ln \left(f \right)^{2}}{2 n}-\frac{b \,f^{a} f^{b \,x^{n}} x^{-n} \ln \left(f \right)}{2 n}-\frac{f^{a} f^{b \,x^{n}} x^{-2 n}}{2 n}"," ",0,"-1/2/n*f^(b*x^n)*f^a/(x^n)^2-1/2/n*ln(f)*b*f^(b*x^n)*f^a/(x^n)-1/2/n*ln(f)^2*b^2*f^a*Ei(1,-b*x^n*ln(f))","A"
189,1,96,84,0.108000," ","int(f^(b*x^n+a)*x^(-1+5/2*n),x)","\frac{f^{a} f^{b \,x^{n}} x^{\frac{3 n}{2}}}{b n \ln \left(f \right)}-\frac{3 f^{a} f^{b \,x^{n}} x^{\frac{n}{2}}}{2 b^{2} n \ln \left(f \right)^{2}}+\frac{3 \sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x^{\frac{n}{2}}\right)}{4 \sqrt{-b \ln \left(f \right)}\, b^{2} n \ln \left(f \right)^{2}}"," ",0,"f^a/n*f^(b*x^n)*(x^(1/2*n))^3/b/ln(f)-3/2*f^a/n/ln(f)^2/b^2*x^(1/2*n)*f^(b*x^n)+3/4*f^a/n/ln(f)^2/b^2*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x^(1/2*n))","A"
190,1,67,58,0.088000," ","int(f^(b*x^n+a)*x^(-1+3/2*n),x)","\frac{f^{a} f^{b \,x^{n}} x^{\frac{n}{2}}}{b n \ln \left(f \right)}-\frac{\sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x^{\frac{n}{2}}\right)}{2 \sqrt{-b \ln \left(f \right)}\, b n \ln \left(f \right)}"," ",0,"1/n*f^a/ln(f)/b*x^(1/2*n)*f^(b*x^n)-1/2/n*f^a/ln(f)/b*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x^(1/2*n))","A"
191,1,32,31,0.104000," ","int(f^(b*x^n+a)*x^(-1+1/2*n),x)","\frac{\sqrt{\pi}\, f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x^{\frac{n}{2}}\right)}{\sqrt{-b \ln \left(f \right)}\, n}"," ",0,"1/n*f^a*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x^(1/2*n))","A"
192,1,59,54,0.118000," ","int(f^(b*x^n+a)*x^(-1-1/2*n),x)","\frac{2 \sqrt{\pi}\, b \,f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x^{\frac{n}{2}}\right) \ln \left(f \right)}{\sqrt{-b \ln \left(f \right)}\, n}-\frac{2 f^{a} f^{b \,x^{n}} x^{-\frac{n}{2}}}{n}"," ",0,"-2/n*f^a/(x^(1/2*n))*f^(b*x^n)+2/n*f^a*ln(f)*b*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x^(1/2*n))","A"
193,1,88,78,0.102000," ","int(f^(b*x^n+a)*x^(-1-3/2*n),x)","\frac{4 \sqrt{\pi}\, b^{2} f^{a} \erf \left(\sqrt{-b \ln \left(f \right)}\, x^{\frac{n}{2}}\right) \ln \left(f \right)^{2}}{3 \sqrt{-b \ln \left(f \right)}\, n}-\frac{4 b \,f^{a} f^{b \,x^{n}} x^{-\frac{n}{2}} \ln \left(f \right)}{3 n}-\frac{2 f^{a} f^{b \,x^{n}} x^{-\frac{3 n}{2}}}{3 n}"," ",0,"-2/3*f^a/n/(x^(1/2*n))^3*f^(b*x^n)-4/3*f^a/n*ln(f)*b/(x^(1/2*n))*f^(b*x^n)+4/3*f^a/n*ln(f)^2*b^2*Pi^(1/2)/(-b*ln(f))^(1/2)*erf((-b*ln(f))^(1/2)*x^(1/2*n))","A"
194,1,10,14,0.004000," ","int(exp(-.1*x)*x,x)","- 10.0 \left(x + 10.0\right) {\mathrm e}^{- 0.1000000000 x}"," ",0,"-10.*(x+10.)*exp(-.1000000000*x)","A"
195,1,249,171,0.092000," ","int(f^(c*(b*x+a)^2)*x^3,x)","\frac{x^{2} f^{a^{2} c} f^{b^{2} c \,x^{2}} f^{2 a b c x}}{2 b^{2} c \ln \left(f \right)}+\frac{\sqrt{\pi}\, a^{3} \erf \left(\frac{a c \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, b x \right)}{2 \sqrt{-c \ln \left(f \right)}\, b^{4}}-\frac{a x \,f^{a^{2} c} f^{b^{2} c \,x^{2}} f^{2 a b c x}}{2 b^{3} c \ln \left(f \right)}+\frac{a^{2} f^{a^{2} c} f^{b^{2} c \,x^{2}} f^{2 a b c x}}{2 b^{4} c \ln \left(f \right)}-\frac{3 \sqrt{\pi}\, a \erf \left(\frac{a c \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, b x \right)}{4 \sqrt{-c \ln \left(f \right)}\, b^{4} c \ln \left(f \right)}-\frac{f^{a^{2} c} f^{b^{2} c \,x^{2}} f^{2 a b c x}}{2 b^{4} c^{2} \ln \left(f \right)^{2}}"," ",0,"1/2/b^2/c/ln(f)*x^2*f^(c*x^2*b^2)*f^(2*a*b*c*x)*f^(a^2*c)-1/2*a/b^3/c/ln(f)*x*f^(c*x^2*b^2)*f^(2*a*b*c*x)*f^(a^2*c)+1/2*a^2/b^4/c/ln(f)*f^(c*x^2*b^2)*f^(2*a*b*c*x)*f^(a^2*c)+1/2*a^3/b^4*Pi^(1/2)/(-c*ln(f))^(1/2)*erf(-b*(-c*ln(f))^(1/2)*x+a*c*ln(f)/(-c*ln(f))^(1/2))-3/4*a/b^4/c/ln(f)*Pi^(1/2)/(-c*ln(f))^(1/2)*erf(-b*(-c*ln(f))^(1/2)*x+a*c*ln(f)/(-c*ln(f))^(1/2))-1/2/b^4/c^2/ln(f)^2*f^(c*x^2*b^2)*f^(2*a*b*c*x)*f^(a^2*c)","A"
196,1,168,114,0.057000," ","int(f^(c*(b*x+a)^2)*x^2,x)","-\frac{\sqrt{\pi}\, a^{2} \erf \left(\frac{a c \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, b x \right)}{2 \sqrt{-c \ln \left(f \right)}\, b^{3}}+\frac{x \,f^{a^{2} c} f^{b^{2} c \,x^{2}} f^{2 a b c x}}{2 b^{2} c \ln \left(f \right)}-\frac{a \,f^{a^{2} c} f^{b^{2} c \,x^{2}} f^{2 a b c x}}{2 b^{3} c \ln \left(f \right)}+\frac{\sqrt{\pi}\, \erf \left(\frac{a c \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, b x \right)}{4 \sqrt{-c \ln \left(f \right)}\, b^{3} c \ln \left(f \right)}"," ",0,"1/2/b^2/c/ln(f)*x*f^(b^2*c*x^2)*f^(2*a*b*c*x)*f^(a^2*c)-1/2*a/b^3/c/ln(f)*f^(b^2*c*x^2)*f^(2*a*b*c*x)*f^(a^2*c)-1/2*a^2/b^3*Pi^(1/2)/(-c*ln(f))^(1/2)*erf(1/(-c*ln(f))^(1/2)*a*c*ln(f)-(-c*ln(f))^(1/2)*b*x)+1/4/b^3/c/ln(f)*Pi^(1/2)/(-c*ln(f))^(1/2)*erf(1/(-c*ln(f))^(1/2)*a*c*ln(f)-(-c*ln(f))^(1/2)*b*x)","A"
197,1,80,54,0.053000," ","int(f^(c*(b*x+a)^2)*x,x)","\frac{\sqrt{\pi}\, a \erf \left(\frac{a c \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, b x \right)}{2 \sqrt{-c \ln \left(f \right)}\, b^{2}}+\frac{f^{a^{2} c} f^{b^{2} c \,x^{2}} f^{2 a b c x}}{2 b^{2} c \ln \left(f \right)}"," ",0,"1/2/b^2/c/ln(f)*f^(b^2*c*x^2)*f^(2*a*b*c*x)*f^(a^2*c)+1/2*a/b^2*Pi^(1/2)/(-c*ln(f))^(1/2)*erf(1/(-c*ln(f))^(1/2)*a*c*ln(f)-(-c*ln(f))^(1/2)*b*x)","A"
198,1,41,29,0.048000," ","int(f^(c*(b*x+a)^2),x)","-\frac{\sqrt{\pi}\, \erf \left(\frac{a c \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, b x \right)}{2 \sqrt{-c \ln \left(f \right)}\, b}"," ",0,"-1/2*Pi^(1/2)/b/(-c*ln(f))^(1/2)*erf(1/(-c*ln(f))^(1/2)*a*c*ln(f)-(-c*ln(f))^(1/2)*b*x)","A"
199,0,0,17,0.035000," ","int(f^(c*(b*x+a)^2)/x,x)","\int \frac{f^{\left(b x +a \right)^{2} c}}{x}\, dx"," ",0,"int(f^(c*(b*x+a)^2)/x,x)","F"
200,0,0,67,0.043000," ","int(f^((b*x+a)^2*c)/x^2,x)","\int \frac{f^{\left(b x +a \right)^{2} c}}{x^{2}}\, dx"," ",0,"int(f^((b*x+a)^2*c)/x^2,x)","F"
201,0,0,123,0.049000," ","int(f^((b*x+a)^2*c)/x^3,x)","\int \frac{f^{\left(b x +a \right)^{2} c}}{x^{3}}\, dx"," ",0,"int(f^((b*x+a)^2*c)/x^3,x)","F"
202,0,0,106,0.043000," ","int(f^(c*(b*x+a)^3)*x^2,x)","\int x^{2} f^{\left(b x +a \right)^{3} c}\, dx"," ",0,"int(f^(c*(b*x+a)^3)*x^2,x)","F"
203,0,0,80,0.039000," ","int(f^((b*x+a)^3*c)*x,x)","\int x \,f^{\left(b x +a \right)^{3} c}\, dx"," ",0,"int(f^((b*x+a)^3*c)*x,x)","F"
204,0,0,38,0.035000," ","int(f^((b*x+a)^3*c),x)","\int f^{\left(b x +a \right)^{3} c}\, dx"," ",0,"int(f^((b*x+a)^3*c),x)","F"
205,0,0,17,0.036000," ","int(f^((b*x+a)^3*c)/x,x)","\int \frac{f^{\left(b x +a \right)^{3} c}}{x}\, dx"," ",0,"int(f^((b*x+a)^3*c)/x,x)","F"
206,0,0,124,0.045000," ","int(f^((b*x+a)^3*c)/x^2,x)","\int \frac{f^{\left(b x +a \right)^{3} c}}{x^{2}}\, dx"," ",0,"int(f^((b*x+a)^3*c)/x^2,x)","F"
207,0,0,237,0.047000," ","int(f^((b*x+a)^3*c)/x^3,x)","\int \frac{f^{\left(b x +a \right)^{3} c}}{x^{3}}\, dx"," ",0,"int(f^((b*x+a)^3*c)/x^3,x)","F"
208,0,0,158,0.047000," ","int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^4,x)","\int x^{4} {\mathrm e}^{b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}}\, dx"," ",0,"int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^4,x)","F"
209,0,0,121,0.038000," ","int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^3,x)","\int x^{3} {\mathrm e}^{b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}}\, dx"," ",0,"int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^3,x)","F"
210,0,0,84,0.037000," ","int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^2,x)","\int x^{2} {\mathrm e}^{b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}}\, dx"," ",0,"int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^2,x)","F"
211,0,0,68,0.032000," ","int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x,x)","\int x \,{\mathrm e}^{b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}}\, dx"," ",0,"int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x,x)","F"
212,0,0,32,0.031000," ","int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3),x)","\int {\mathrm e}^{b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}}\, dx"," ",0,"int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3),x)","F"
213,0,0,34,0.029000," ","int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)/x,x)","\int \frac{{\mathrm e}^{b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}}}{x}\, dx"," ",0,"int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)/x,x)","F"
214,0,0,34,0.046000," ","int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^m,x)","\int x^{m} {\mathrm e}^{b^{3} x^{3}+3 a \,b^{2} x^{2}+3 a^{2} b x +a^{3}}\, dx"," ",0,"int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^m,x)","F"
215,1,29,28,0.009000," ","int(exp((3*x+5)^(1/2)),x)","-\frac{2 \,{\mathrm e}^{\sqrt{3 x +5}}}{3}+\frac{2 \sqrt{3 x +5}\, {\mathrm e}^{\sqrt{3 x +5}}}{3}"," ",0,"-2/3*exp((3*x+5)^(1/2))+2/3*exp((3*x+5)^(1/2))*(3*x+5)^(1/2)","A"
216,1,517,290,0.131000," ","int(f^(c/(b*x+a))*x^4,x)","\frac{c \,x^{4} f^{\frac{c}{b x +a}} \ln \left(f \right)}{20 b}+\frac{c^{2} x^{3} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{60 b^{2}}+\frac{c^{3} x^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{3}}{120 b^{3}}+\frac{c^{4} x \,f^{\frac{c}{b x +a}} \ln \left(f \right)^{4}}{120 b^{4}}+\frac{c^{5} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{5}}{120 b^{5}}+\frac{x^{5} f^{\frac{c}{b x +a}}}{5}-\frac{2 a c \,x^{3} f^{\frac{c}{b x +a}} \ln \left(f \right)}{15 b^{2}}-\frac{7 a \,c^{2} x^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{60 b^{3}}-\frac{3 a \,c^{3} x \,f^{\frac{c}{b x +a}} \ln \left(f \right)^{3}}{20 b^{4}}+\frac{a \,c^{4} f^{\frac{c}{b x +a}} \ln \left(f \right)^{4}}{120 b^{5}}-\frac{a \,c^{4} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{4}}{6 b^{5}}+\frac{3 a^{2} c \,x^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)}{10 b^{3}}+\frac{43 a^{2} c^{2} x \,f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{60 b^{4}}-\frac{19 a^{2} c^{3} f^{\frac{c}{b x +a}} \ln \left(f \right)^{3}}{120 b^{5}}+\frac{a^{2} c^{3} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{3}}{b^{5}}-\frac{4 a^{3} c x \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{5 b^{4}}+\frac{17 a^{3} c^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{20 b^{5}}-\frac{2 a^{3} c^{2} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{2}}{b^{5}}-\frac{77 a^{4} c \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{60 b^{5}}+\frac{a^{4} c \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)}{b^{5}}+\frac{a^{5} f^{\frac{c}{b x +a}}}{5 b^{5}}"," ",0,"1/20*c*ln(f)/b*f^(c/(b*x+a))*x^4+1/120*c^5*ln(f)^5/b^5*Ei(1,-c*ln(f)/(b*x+a))-2*c^2*ln(f)^2/b^5*a^3*Ei(1,-c*ln(f)/(b*x+a))-1/6*c^4*ln(f)^4/b^5*a*Ei(1,-c*ln(f)/(b*x+a))+1/5/b^5*a^5*f^(c/(b*x+a))-7/60*c^2*ln(f)^2/b^3*f^(c/(b*x+a))*a*x^2+43/60*c^2*ln(f)^2/b^4*f^(c/(b*x+a))*a^2*x-3/20*c^3*ln(f)^3/b^4*f^(c/(b*x+a))*a*x+c*ln(f)/b^5*a^4*Ei(1,-c*ln(f)/(b*x+a))-77/60*c*ln(f)/b^5*f^(c/(b*x+a))*a^4+17/20*c^2*ln(f)^2/b^5*f^(c/(b*x+a))*a^3-19/120*c^3*ln(f)^3/b^5*f^(c/(b*x+a))*a^2+1/120*c^4*ln(f)^4/b^5*f^(c/(b*x+a))*a-2/15*c*ln(f)/b^2*f^(c/(b*x+a))*a*x^3+3/10*c*ln(f)/b^3*f^(c/(b*x+a))*a^2*x^2-4/5*c*ln(f)/b^4*f^(c/(b*x+a))*a^3*x+c^3*ln(f)^3/b^5*a^2*Ei(1,-c*ln(f)/(b*x+a))+1/5*f^(c/(b*x+a))*x^5+1/60*c^2*ln(f)^2/b^2*f^(c/(b*x+a))*x^3+1/120*c^3*ln(f)^3/b^3*f^(c/(b*x+a))*x^2+1/120*c^4*ln(f)^4/b^4*f^(c/(b*x+a))*x","A"
217,1,359,257,0.122000," ","int(f^(1/(b*x+a)*c)*x^3,x)","\frac{c \,x^{3} f^{\frac{c}{b x +a}} \ln \left(f \right)}{12 b}+\frac{c^{2} x^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{24 b^{2}}+\frac{c^{3} x \,f^{\frac{c}{b x +a}} \ln \left(f \right)^{3}}{24 b^{3}}+\frac{c^{4} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{4}}{24 b^{4}}+\frac{x^{4} f^{\frac{c}{b x +a}}}{4}-\frac{a c \,x^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)}{4 b^{2}}-\frac{5 a \,c^{2} x \,f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{12 b^{3}}+\frac{a \,c^{3} f^{\frac{c}{b x +a}} \ln \left(f \right)^{3}}{24 b^{4}}-\frac{a \,c^{3} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{3}}{2 b^{4}}+\frac{3 a^{2} c x \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{4 b^{3}}-\frac{11 a^{2} c^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{24 b^{4}}+\frac{3 a^{2} c^{2} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{2}}{2 b^{4}}+\frac{13 a^{3} c \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{12 b^{4}}-\frac{a^{3} c \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)}{b^{4}}-\frac{a^{4} f^{\frac{c}{b x +a}}}{4 b^{4}}"," ",0,"1/24*c^3*ln(f)^3/b^4*f^(1/(b*x+a)*c)*a-11/24*c^2*ln(f)^2/b^4*f^(1/(b*x+a)*c)*a^2-1/4/b^4*f^(1/(b*x+a)*c)*a^4-1/4*c*ln(f)/b^2*f^(1/(b*x+a)*c)*a*x^2+3/4*c*ln(f)/b^3*f^(1/(b*x+a)*c)*a^2*x+3/2*c^2*ln(f)^2/b^4*a^2*Ei(1,-1/(b*x+a)*c*ln(f))+1/12*c*ln(f)/b*f^(1/(b*x+a)*c)*x^3+1/24*c^4*ln(f)^4/b^4*Ei(1,-1/(b*x+a)*c*ln(f))+13/12*c*ln(f)/b^4*f^(1/(b*x+a)*c)*a^3-c*ln(f)/b^4*a^3*Ei(1,-1/(b*x+a)*c*ln(f))-1/2*c^3*ln(f)^3/b^4*a*Ei(1,-1/(b*x+a)*c*ln(f))-5/12*c^2*ln(f)^2/b^3*f^(1/(b*x+a)*c)*a*x+1/4*f^(1/(b*x+a)*c)*x^4+1/24*c^2*ln(f)^2/b^2*f^(1/(b*x+a)*c)*x^2+1/24*c^3*ln(f)^3/b^3*f^(1/(b*x+a)*c)*x","A"
218,1,227,221,0.116000," ","int(f^(1/(b*x+a)*c)*x^2,x)","\frac{c \,x^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)}{6 b}+\frac{c^{2} x \,f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{6 b^{2}}+\frac{c^{3} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{3}}{6 b^{3}}+\frac{x^{3} f^{\frac{c}{b x +a}}}{3}-\frac{2 a c x \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{3 b^{2}}+\frac{a \,c^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{6 b^{3}}-\frac{a \,c^{2} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{2}}{b^{3}}-\frac{5 a^{2} c \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{6 b^{3}}+\frac{a^{2} c \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)}{b^{3}}+\frac{a^{3} f^{\frac{c}{b x +a}}}{3 b^{3}}"," ",0,"1/3/b^3*a^3*f^(1/(b*x+a)*c)+c*ln(f)/b^3*a^2*Ei(1,-1/(b*x+a)*c*ln(f))+1/3*f^(1/(b*x+a)*c)*x^3+1/6*c*ln(f)/b*f^(1/(b*x+a)*c)*x^2-2/3*c*ln(f)/b^2*f^(1/(b*x+a)*c)*a*x-5/6*c*ln(f)/b^3*f^(1/(b*x+a)*c)*a^2+1/6*c^2*ln(f)^2/b^2*f^(1/(b*x+a)*c)*x+1/6*c^2*ln(f)^2/b^3*f^(1/(b*x+a)*c)*a+1/6*c^3*ln(f)^3/b^3*Ei(1,-1/(b*x+a)*c*ln(f))-c^2*ln(f)^2/b^3*a*Ei(1,-1/(b*x+a)*c*ln(f))","A"
219,1,126,114,0.111000," ","int(f^(1/(b*x+a)*c)*x,x)","\frac{c x \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{2 b}+\frac{c^{2} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)^{2}}{2 b^{2}}+\frac{x^{2} f^{\frac{c}{b x +a}}}{2}+\frac{a c \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{2 b^{2}}-\frac{a c \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)}{b^{2}}-\frac{a^{2} f^{\frac{c}{b x +a}}}{2 b^{2}}"," ",0,"1/2*f^(1/(b*x+a)*c)*x^2-1/2/b^2*f^(1/(b*x+a)*c)*a^2+1/2*c*ln(f)/b*f^(1/(b*x+a)*c)*x+1/2*c*ln(f)/b^2*f^(1/(b*x+a)*c)*a+1/2*c^2*ln(f)^2/b^2*Ei(1,-1/(b*x+a)*c*ln(f))-c*ln(f)/b^2*a*Ei(1,-1/(b*x+a)*c*ln(f))","A"
220,1,52,41,0.099000," ","int(f^(1/(b*x+a)*c),x)","\frac{c \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right) \ln \left(f \right)}{b}+x \,f^{\frac{c}{b x +a}}+\frac{a \,f^{\frac{c}{b x +a}}}{b}"," ",0,"f^(1/(b*x+a)*c)*x+1/b*f^(1/(b*x+a)*c)*a+c/b*ln(f)*Ei(1,-1/(b*x+a)*c*ln(f))","A"
221,1,47,41,0.142000," ","int(f^(1/(b*x+a)*c)/x,x)","-f^{\frac{c}{a}} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}+\frac{c \ln \left(f \right)}{a}\right)+\Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}\right)"," ",0,"-f^(1/a*c)*Ei(1,-1/(b*x+a)*c*ln(f)+c*ln(f)/a)+Ei(1,-1/(b*x+a)*c*ln(f))","A"
222,1,80,68,0.121000," ","int(f^(1/(b*x+a)*c)/x^2,x)","\frac{b c \,f^{\frac{c}{a}} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}+\frac{c \ln \left(f \right)}{a}\right) \ln \left(f \right)}{a^{2}}+\frac{b c \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{\left(\frac{c \ln \left(f \right)}{b x +a}-\frac{c \ln \left(f \right)}{a}\right) a^{2}}"," ",0,"1/a^2*ln(f)*b*c*f^(1/(b*x+a)*c)/(1/(b*x+a)*c*ln(f)-1/a*c*ln(f))+1/a^2*ln(f)*b*c*f^(1/a*c)*Ei(1,-1/(b*x+a)*c*ln(f)+1/a*c*ln(f))","A"
223,1,226,156,0.127000," ","int(f^(1/(b*x+a)*c)/x^3,x)","-\frac{b^{2} c^{2} f^{\frac{c}{a}} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}+\frac{c \ln \left(f \right)}{a}\right) \ln \left(f \right)^{2}}{2 a^{4}}-\frac{b^{2} c \,f^{\frac{c}{a}} \Ei \left(1, -\frac{c \ln \left(f \right)}{b x +a}+\frac{c \ln \left(f \right)}{a}\right) \ln \left(f \right)}{a^{3}}-\frac{b^{2} c^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{2 \left(\frac{c \ln \left(f \right)}{b x +a}-\frac{c \ln \left(f \right)}{a}\right)^{2} a^{4}}-\frac{b^{2} c^{2} f^{\frac{c}{b x +a}} \ln \left(f \right)^{2}}{2 \left(\frac{c \ln \left(f \right)}{b x +a}-\frac{c \ln \left(f \right)}{a}\right) a^{4}}-\frac{b^{2} c \,f^{\frac{c}{b x +a}} \ln \left(f \right)}{\left(\frac{c \ln \left(f \right)}{b x +a}-\frac{c \ln \left(f \right)}{a}\right) a^{3}}"," ",0,"-ln(f)*b^2*c/a^3*f^(1/(b*x+a)*c)/(1/(b*x+a)*c*ln(f)-1/a*c*ln(f))-ln(f)*b^2*c/a^3*f^(1/a*c)*Ei(1,-1/(b*x+a)*c*ln(f)+1/a*c*ln(f))-1/2*ln(f)^2*b^2*c^2/a^4*f^(1/(b*x+a)*c)/(1/(b*x+a)*c*ln(f)-1/a*c*ln(f))^2-1/2*ln(f)^2*b^2*c^2/a^4*f^(1/(b*x+a)*c)/(1/(b*x+a)*c*ln(f)-1/a*c*ln(f))-1/2*ln(f)^2*b^2*c^2/a^4*f^(1/a*c)*Ei(1,-1/(b*x+a)*c*ln(f)+1/a*c*ln(f))","A"
224,1,343,377,0.114000," ","int(f^(c/(b*x+a)^2)*x^4,x)","\frac{x^{5} f^{\frac{c}{\left(b x +a \right)^{2}}}}{5}+\frac{2 c \,x^{3} f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{15 b^{2}}-\frac{3 a c \,x^{2} f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{5 b^{3}}-\frac{\sqrt{\pi}\, a^{4} c \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}\, b^{5}}+\frac{12 a^{2} c x \,f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{5 b^{4}}-\frac{4 \sqrt{\pi}\, a^{2} c^{2} \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)^{2}}{\sqrt{-c \ln \left(f \right)}\, b^{5}}+\frac{4 c^{2} x \,f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)^{2}}{15 b^{4}}-\frac{4 \sqrt{\pi}\, c^{3} \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)^{3}}{15 \sqrt{-c \ln \left(f \right)}\, b^{5}}+\frac{a^{5} f^{\frac{c}{\left(b x +a \right)^{2}}}}{5 b^{5}}+\frac{47 a^{3} c \,f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{15 b^{5}}-\frac{2 a^{3} c \Ei \left(1, -\frac{c \ln \left(f \right)}{\left(b x +a \right)^{2}}\right) \ln \left(f \right)}{b^{5}}+\frac{4 a \,c^{2} f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)^{2}}{15 b^{5}}-\frac{a \,c^{2} \Ei \left(1, -\frac{c \ln \left(f \right)}{\left(b x +a \right)^{2}}\right) \ln \left(f \right)^{2}}{b^{5}}"," ",0,"-4/b^5*a^2*ln(f)^2*c^2*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))-3/5/b^3*ln(f)*c*f^(c/(b*x+a)^2)*a*x^2+12/5/b^4*ln(f)*c*f^(c/(b*x+a)^2)*a^2*x-1/b^5*a^4*ln(f)*c*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))+1/5*f^(c/(b*x+a)^2)*x^5+1/5/b^5*a^5*f^(c/(b*x+a)^2)+47/15/b^5*ln(f)*c*f^(c/(b*x+a)^2)*a^3+4/15/b^5*ln(f)^2*c^2*f^(c/(b*x+a)^2)*a-1/b^5*a*ln(f)^2*c^2*Ei(1,-c*ln(f)/(b*x+a)^2)-2/b^5*a^3*ln(f)*c*Ei(1,-c*ln(f)/(b*x+a)^2)+2/15/b^2*ln(f)*c*f^(c/(b*x+a)^2)*x^3+4/15/b^4*ln(f)^2*c^2*f^(c/(b*x+a)^2)*x-4/15/b^5*ln(f)^3*c^3*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))","A"
225,1,228,261,0.079000," ","int(f^(1/(b*x+a)^2*c)*x^3,x)","\frac{x^{4} f^{\frac{c}{\left(b x +a \right)^{2}}}}{4}+\frac{c \,x^{2} f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{4 b^{2}}+\frac{\sqrt{\pi}\, a^{3} c \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}\, b^{4}}-\frac{3 a c x \,f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{2 b^{3}}+\frac{2 \sqrt{\pi}\, a \,c^{2} \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)^{2}}{\sqrt{-c \ln \left(f \right)}\, b^{4}}-\frac{a^{4} f^{\frac{c}{\left(b x +a \right)^{2}}}}{4 b^{4}}-\frac{7 a^{2} c \,f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{4 b^{4}}+\frac{3 a^{2} c \Ei \left(1, -\frac{c \ln \left(f \right)}{\left(b x +a \right)^{2}}\right) \ln \left(f \right)}{2 b^{4}}+\frac{c^{2} \Ei \left(1, -\frac{c \ln \left(f \right)}{\left(b x +a \right)^{2}}\right) \ln \left(f \right)^{2}}{4 b^{4}}"," ",0,"1/4*f^(1/(b*x+a)^2*c)*x^4-1/4/b^4*f^(1/(b*x+a)^2*c)*a^4+1/4/b^2*ln(f)*c*f^(1/(b*x+a)^2*c)*x^2-3/2/b^3*ln(f)*c*f^(1/(b*x+a)^2*c)*a*x-7/4/b^4*ln(f)*c*f^(1/(b*x+a)^2*c)*a^2+1/4/b^4*ln(f)^2*c^2*Ei(1,-1/(b*x+a)^2*c*ln(f))+2/b^4*a*ln(f)^2*c^2*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))+3/2/b^4*a^2*ln(f)*c*Ei(1,-1/(b*x+a)^2*c*ln(f))+1/b^4*a^3*ln(f)*c*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))","A"
226,1,175,180,0.073000," ","int(f^(1/(b*x+a)^2*c)*x^2,x)","\frac{x^{3} f^{\frac{c}{\left(b x +a \right)^{2}}}}{3}-\frac{\sqrt{\pi}\, a^{2} c \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}\, b^{3}}+\frac{2 c x \,f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{3 b^{2}}-\frac{2 \sqrt{\pi}\, c^{2} \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)^{2}}{3 \sqrt{-c \ln \left(f \right)}\, b^{3}}+\frac{a^{3} f^{\frac{c}{\left(b x +a \right)^{2}}}}{3 b^{3}}+\frac{2 a c \,f^{\frac{c}{\left(b x +a \right)^{2}}} \ln \left(f \right)}{3 b^{3}}-\frac{a c \Ei \left(1, -\frac{c \ln \left(f \right)}{\left(b x +a \right)^{2}}\right) \ln \left(f \right)}{b^{3}}"," ",0,"1/3*f^(1/(b*x+a)^2*c)*x^3+1/3/b^3*a^3*f^(1/(b*x+a)^2*c)+2/3/b^2*ln(f)*c*f^(1/(b*x+a)^2*c)*x+2/3/b^3*ln(f)*c*f^(1/(b*x+a)^2*c)*a-2/3/b^3*ln(f)^2*c^2*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))-1/b^3*a^2*ln(f)*c*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))-1/b^3*a*ln(f)*c*Ei(1,-1/(b*x+a)^2*c*ln(f))","A"
227,1,93,97,0.066000," ","int(f^(1/(b*x+a)^2*c)*x,x)","\frac{x^{2} f^{\frac{c}{\left(b x +a \right)^{2}}}}{2}+\frac{\sqrt{\pi}\, a c \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}\, b^{2}}-\frac{a^{2} f^{\frac{c}{\left(b x +a \right)^{2}}}}{2 b^{2}}+\frac{c \Ei \left(1, -\frac{c \ln \left(f \right)}{\left(b x +a \right)^{2}}\right) \ln \left(f \right)}{2 b^{2}}"," ",0,"1/2*f^(1/(b*x+a)^2*c)*x^2-1/2/b^2*f^(1/(b*x+a)^2*c)*a^2+1/2/b^2*ln(f)*c*Ei(1,-1/(b*x+a)^2*c*ln(f))+1/b^2*a*ln(f)*c*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))","A"
228,1,65,52,0.058000," ","int(f^(1/(b*x+a)^2*c),x)","-\frac{\sqrt{\pi}\, c \erf \left(\frac{\sqrt{-c \ln \left(f \right)}}{b x +a}\right) \ln \left(f \right)}{\sqrt{-c \ln \left(f \right)}\, b}+x \,f^{\frac{c}{\left(b x +a \right)^{2}}}+\frac{a \,f^{\frac{c}{\left(b x +a \right)^{2}}}}{b}"," ",0,"f^(1/(b*x+a)^2*c)*x+1/b*f^(1/(b*x+a)^2*c)*a-1/b*ln(f)*c*Pi^(1/2)/(-c*ln(f))^(1/2)*erf((-c*ln(f))^(1/2)/(b*x+a))","A"
229,0,0,17,0.063000," ","int(f^(1/(b*x+a)^2*c)/x,x)","\int \frac{f^{\frac{c}{\left(b x +a \right)^{2}}}}{x}\, dx"," ",0,"int(f^(1/(b*x+a)^2*c)/x,x)","F"
230,0,0,17,0.081000," ","int(f^(1/(b*x+a)^2*c)/x^2,x)","\int \frac{f^{\frac{c}{\left(b x +a \right)^{2}}}}{x^{2}}\, dx"," ",0,"int(f^(1/(b*x+a)^2*c)/x^2,x)","F"
231,0,0,17,0.099000," ","int(f^(1/(b*x+a)^2*c)/x^3,x)","\int \frac{f^{\frac{c}{\left(b x +a \right)^{2}}}}{x^{3}}\, dx"," ",0,"int(f^(1/(b*x+a)^2*c)/x^3,x)","F"
232,0,0,215,0.076000," ","int(f^(c/(b*x+a)^3)*x^4,x)","\int x^{4} f^{\frac{c}{\left(b x +a \right)^{3}}}\, dx"," ",0,"int(f^(c/(b*x+a)^3)*x^4,x)","F"
233,0,0,168,0.070000," ","int(f^(1/(b*x+a)^3*c)*x^3,x)","\int x^{3} f^{\frac{c}{\left(b x +a \right)^{3}}}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c)*x^3,x)","F"
234,0,0,126,0.066000," ","int(f^(1/(b*x+a)^3*c)*x^2,x)","\int x^{2} f^{\frac{c}{\left(b x +a \right)^{3}}}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c)*x^2,x)","F"
235,0,0,80,0.061000," ","int(f^(1/(b*x+a)^3*c)*x,x)","\int x \,f^{\frac{c}{\left(b x +a \right)^{3}}}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c)*x,x)","F"
236,0,0,38,0.049000," ","int(f^(1/(b*x+a)^3*c),x)","\int f^{\frac{c}{\left(b x +a \right)^{3}}}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c),x)","F"
237,0,0,17,0.059000," ","int(f^(1/(b*x+a)^3*c)/x,x)","\int \frac{f^{\frac{c}{\left(b x +a \right)^{3}}}}{x}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c)/x,x)","F"
238,0,0,17,0.071000," ","int(f^(1/(b*x+a)^3*c)/x^2,x)","\int \frac{f^{\frac{c}{\left(b x +a \right)^{3}}}}{x^{2}}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c)/x^2,x)","F"
239,0,0,17,0.089000," ","int(f^(1/(b*x+a)^3*c)/x^3,x)","\int \frac{f^{\frac{c}{\left(b x +a \right)^{3}}}}{x^{3}}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c)/x^3,x)","F"
240,0,0,17,0.062000," ","int(f^((b*x+a)^3*c)*x^m,x)","\int f^{\left(b x +a \right)^{3} c} x^{m}\, dx"," ",0,"int(f^((b*x+a)^3*c)*x^m,x)","F"
241,0,0,28,0.055000," ","int(f^((b*x+a)^2*c)*x^m,x)","\int f^{\left(b x +a \right)^{2} c} x^{m}\, dx"," ",0,"int(f^((b*x+a)^2*c)*x^m,x)","F"
242,1,117,41,0.053000," ","int(f^((b*x+a)*c)*x^m,x)","-\frac{\left(m \,x^{m} \left(-b c \right)^{m} \left(-b c x \ln \left(f \right)\right)^{-m} \ln \left(f \right)^{m} \Gamma \left(m \right)-m \,x^{m} \left(-b c \right)^{m} \left(-b c x \ln \left(f \right)\right)^{-m} \ln \left(f \right)^{m} \Gamma \left(m , -b c x \ln \left(f \right)\right)-x^{m} \left(-b c \right)^{m} \ln \left(f \right)^{m} {\mathrm e}^{b c x \ln \left(f \right)}\right) f^{a c} \left(-b c \right)^{-m} \ln \left(f \right)^{-m -1}}{b c}"," ",0,"-f^(a*c)*(-b*c)^(-m)*ln(f)^(-m-1)/b/c*(x^m*(-b*c)^m*ln(f)^m*m*GAMMA(m)*(-b*c*x*ln(f))^(-m)-x^m*(-b*c)^m*ln(f)^m*exp(b*c*x*ln(f))-x^m*(-b*c)^m*ln(f)^m*m*(-b*c*x*ln(f))^(-m)*GAMMA(m,-b*c*x*ln(f)))","B"
243,0,0,17,0.060000," ","int(f^(1/(b*x+a)*c)*x^m,x)","\int f^{\frac{c}{b x +a}} x^{m}\, dx"," ",0,"int(f^(1/(b*x+a)*c)*x^m,x)","F"
244,0,0,17,0.065000," ","int(f^(1/(b*x+a)^2*c)*x^m,x)","\int f^{\frac{c}{\left(b x +a \right)^{2}}} x^{m}\, dx"," ",0,"int(f^(1/(b*x+a)^2*c)*x^m,x)","F"
245,0,0,17,0.070000," ","int(f^(1/(b*x+a)^3*c)*x^m,x)","\int f^{\frac{c}{\left(b x +a \right)^{3}}} x^{m}\, dx"," ",0,"int(f^(1/(b*x+a)^3*c)*x^m,x)","F"
246,0,0,17,0.038000," ","int(f^(c*(b*x+a)^n)*x^m,x)","\int f^{c \left(b x +a \right)^{n}} x^{m}\, dx"," ",0,"int(f^(c*(b*x+a)^n)*x^m,x)","F"
247,0,0,213,0.028000," ","int(f^(c*(b*x+a)^n)*x^3,x)","\int x^{3} f^{c \left(b x +a \right)^{n}}\, dx"," ",0,"int(f^(c*(b*x+a)^n)*x^3,x)","F"
248,0,0,158,0.063000," ","int(f^(c*(b*x+a)^n)*x^2,x)","\int x^{2} f^{c \left(b x +a \right)^{n}}\, dx"," ",0,"int(f^(c*(b*x+a)^n)*x^2,x)","F"
249,0,0,101,0.053000," ","int(f^(c*(b*x+a)^n)*x,x)","\int x \,f^{c \left(b x +a \right)^{n}}\, dx"," ",0,"int(f^(c*(b*x+a)^n)*x,x)","F"
250,0,0,47,0.040000," ","int(f^(c*(b*x+a)^n),x)","\int f^{c \left(b x +a \right)^{n}}\, dx"," ",0,"int(f^(c*(b*x+a)^n),x)","F"
251,0,0,17,0.038000," ","int(f^(c*(b*x+a)^n)/x,x)","\int \frac{f^{c \left(b x +a \right)^{n}}}{x}\, dx"," ",0,"int(f^(c*(b*x+a)^n)/x,x)","F"
252,0,0,17,0.063000," ","int(f^(c*(b*x+a)^n)/x^2,x)","\int \frac{f^{c \left(b x +a \right)^{n}}}{x^{2}}\, dx"," ",0,"int(f^(c*(b*x+a)^n)/x^2,x)","F"
253,0,0,17,0.026000," ","int(f^(c*(b*x+a)^n)/x^3,x)","\int \frac{f^{c \left(b x +a \right)^{n}}}{x^{3}}\, dx"," ",0,"int(f^(c*(b*x+a)^n)/x^3,x)","F"
254,0,0,53,0.095000," ","int(F^(a+b*(d*x+c)^2)*(d*x+c)^m,x)","\int F^{a +\left(d x +c \right)^{2} b} \left(d x +c \right)^{m}\, dx"," ",0,"int(F^(a+b*(d*x+c)^2)*(d*x+c)^m,x)","F"
255,1,579,103,0.020000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^11,x)","\frac{\left(b^{5} d^{10} x^{10} \ln \left(F \right)^{5}+10 b^{5} c \,d^{9} x^{9} \ln \left(F \right)^{5}+45 b^{5} c^{2} d^{8} x^{8} \ln \left(F \right)^{5}+120 b^{5} c^{3} d^{7} x^{7} \ln \left(F \right)^{5}+210 b^{5} c^{4} d^{6} x^{6} \ln \left(F \right)^{5}+252 b^{5} c^{5} d^{5} x^{5} \ln \left(F \right)^{5}+210 b^{5} c^{6} d^{4} x^{4} \ln \left(F \right)^{5}-5 b^{4} d^{8} x^{8} \ln \left(F \right)^{4}+120 b^{5} c^{7} d^{3} x^{3} \ln \left(F \right)^{5}-40 b^{4} c \,d^{7} x^{7} \ln \left(F \right)^{4}+45 b^{5} c^{8} d^{2} x^{2} \ln \left(F \right)^{5}-140 b^{4} c^{2} d^{6} x^{6} \ln \left(F \right)^{4}+10 b^{5} c^{9} d x \ln \left(F \right)^{5}-280 b^{4} c^{3} d^{5} x^{5} \ln \left(F \right)^{4}+b^{5} c^{10} \ln \left(F \right)^{5}-350 b^{4} c^{4} d^{4} x^{4} \ln \left(F \right)^{4}-280 b^{4} c^{5} d^{3} x^{3} \ln \left(F \right)^{4}-140 b^{4} c^{6} d^{2} x^{2} \ln \left(F \right)^{4}+20 b^{3} d^{6} x^{6} \ln \left(F \right)^{3}-40 b^{4} c^{7} d x \ln \left(F \right)^{4}+120 b^{3} c \,d^{5} x^{5} \ln \left(F \right)^{3}-5 b^{4} c^{8} \ln \left(F \right)^{4}+300 b^{3} c^{2} d^{4} x^{4} \ln \left(F \right)^{3}+400 b^{3} c^{3} d^{3} x^{3} \ln \left(F \right)^{3}+300 b^{3} c^{4} d^{2} x^{2} \ln \left(F \right)^{3}+120 b^{3} c^{5} d x \ln \left(F \right)^{3}+20 b^{3} c^{6} \ln \left(F \right)^{3}-60 b^{2} d^{4} x^{4} \ln \left(F \right)^{2}-240 b^{2} c \,d^{3} x^{3} \ln \left(F \right)^{2}-360 b^{2} c^{2} d^{2} x^{2} \ln \left(F \right)^{2}-240 b^{2} c^{3} d x \ln \left(F \right)^{2}-60 b^{2} c^{4} \ln \left(F \right)^{2}+120 b \,d^{2} x^{2} \ln \left(F \right)+240 b c d x \ln \left(F \right)+120 b \,c^{2} \ln \left(F \right)-120\right) F^{b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a}}{2 b^{6} d \ln \left(F \right)^{6}}"," ",0,"1/2*(-120+120*ln(F)*b*c^2+120*ln(F)*b*d^2*x^2+240*ln(F)*b*c*d*x+ln(F)^5*b^5*c^10+20*ln(F)^3*b^3*c^6-60*ln(F)^2*b^2*c^4-5*ln(F)^4*b^4*c^8+d^10*x^10*b^5*ln(F)^5-5*d^8*x^8*b^4*ln(F)^4+20*d^6*x^6*b^3*ln(F)^3-60*d^4*x^4*b^2*ln(F)^2+400*ln(F)^3*b^3*c^3*d^3*x^3+300*ln(F)^3*b^3*c^4*d^2*x^2+120*ln(F)^3*b^3*c^5*d*x-240*d^3*c*x^3*b^2*ln(F)^2-360*ln(F)^2*b^2*c^2*d^2*x^2-240*ln(F)^2*b^2*c^3*d*x+252*ln(F)^5*b^5*c^5*d^5*x^5+210*ln(F)^5*b^5*c^6*d^4*x^4+120*ln(F)^5*b^5*c^7*d^3*x^3-40*c*d^7*x^7*b^4*ln(F)^4+45*ln(F)^5*b^5*c^8*d^2*x^2-140*ln(F)^4*b^4*c^2*d^6*x^6+10*ln(F)^5*b^5*c^9*d*x-280*ln(F)^4*b^4*c^3*d^5*x^5-350*ln(F)^4*b^4*c^4*d^4*x^4-280*ln(F)^4*b^4*c^5*d^3*x^3-140*ln(F)^4*b^4*c^6*d^2*x^2-40*ln(F)^4*b^4*c^7*d*x+120*c*d^5*x^5*b^3*ln(F)^3+300*ln(F)^3*b^3*c^2*d^4*x^4+210*ln(F)^5*b^5*c^4*d^6*x^6+10*d^9*c*x^9*b^5*ln(F)^5+45*ln(F)^5*b^5*c^2*d^8*x^8+120*ln(F)^5*b^5*c^3*d^7*x^7)*F^(b*d^2*x^2+2*b*c*d*x+b*c^2+a)/b^6/ln(F)^6/d","B"
256,1,396,86,0.016000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^9,x)","\frac{\left(b^{4} d^{8} x^{8} \ln \left(F \right)^{4}+8 b^{4} c \,d^{7} x^{7} \ln \left(F \right)^{4}+28 b^{4} c^{2} d^{6} x^{6} \ln \left(F \right)^{4}+56 b^{4} c^{3} d^{5} x^{5} \ln \left(F \right)^{4}+70 b^{4} c^{4} d^{4} x^{4} \ln \left(F \right)^{4}+56 b^{4} c^{5} d^{3} x^{3} \ln \left(F \right)^{4}+28 b^{4} c^{6} d^{2} x^{2} \ln \left(F \right)^{4}-4 b^{3} d^{6} x^{6} \ln \left(F \right)^{3}+8 b^{4} c^{7} d x \ln \left(F \right)^{4}-24 b^{3} c \,d^{5} x^{5} \ln \left(F \right)^{3}+b^{4} c^{8} \ln \left(F \right)^{4}-60 b^{3} c^{2} d^{4} x^{4} \ln \left(F \right)^{3}-80 b^{3} c^{3} d^{3} x^{3} \ln \left(F \right)^{3}-60 b^{3} c^{4} d^{2} x^{2} \ln \left(F \right)^{3}-24 b^{3} c^{5} d x \ln \left(F \right)^{3}-4 b^{3} c^{6} \ln \left(F \right)^{3}+12 b^{2} d^{4} x^{4} \ln \left(F \right)^{2}+48 b^{2} c \,d^{3} x^{3} \ln \left(F \right)^{2}+72 b^{2} c^{2} d^{2} x^{2} \ln \left(F \right)^{2}+48 b^{2} c^{3} d x \ln \left(F \right)^{2}+12 b^{2} c^{4} \ln \left(F \right)^{2}-24 b \,d^{2} x^{2} \ln \left(F \right)-48 b c d x \ln \left(F \right)-24 b \,c^{2} \ln \left(F \right)+24\right) F^{b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a}}{2 b^{5} d \ln \left(F \right)^{5}}"," ",0,"1/2*(24-24*b*c^2*ln(F)-24*b*d^2*x^2*ln(F)-48*b*c*d*x*ln(F)-4*b^3*c^6*ln(F)^3+12*b^2*c^4*ln(F)^2+b^4*c^8*ln(F)^4+b^4*d^8*x^8*ln(F)^4-4*b^3*d^6*x^6*ln(F)^3+12*b^2*d^4*x^4*ln(F)^2-80*b^3*c^3*d^3*x^3*ln(F)^3-60*b^3*c^4*d^2*x^2*ln(F)^3-24*b^3*c^5*d*x*ln(F)^3+48*b^2*c*d^3*x^3*ln(F)^2+72*b^2*c^2*d^2*x^2*ln(F)^2+48*b^2*c^3*d*x*ln(F)^2+8*b^4*c*d^7*x^7*ln(F)^4+28*b^4*c^2*d^6*x^6*ln(F)^4+56*b^4*c^3*d^5*x^5*ln(F)^4+70*b^4*c^4*d^4*x^4*ln(F)^4+56*b^4*c^5*d^3*x^3*ln(F)^4+28*b^4*c^6*d^2*x^2*ln(F)^4+8*b^4*c^7*d*x*ln(F)^4-24*b^3*c*d^5*x^5*ln(F)^3-60*b^3*c^2*d^4*x^4*ln(F)^3)*F^(b*d^2*x^2+2*b*c*d*x+b*c^2+a)/b^5/ln(F)^5/d","B"
257,1,249,122,0.012000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^7,x)","\frac{\left(b^{3} d^{6} x^{6} \ln \left(F \right)^{3}+6 b^{3} c \,d^{5} x^{5} \ln \left(F \right)^{3}+15 b^{3} c^{2} d^{4} x^{4} \ln \left(F \right)^{3}+20 b^{3} c^{3} d^{3} x^{3} \ln \left(F \right)^{3}+15 b^{3} c^{4} d^{2} x^{2} \ln \left(F \right)^{3}+6 b^{3} c^{5} d x \ln \left(F \right)^{3}+b^{3} c^{6} \ln \left(F \right)^{3}-3 b^{2} d^{4} x^{4} \ln \left(F \right)^{2}-12 b^{2} c \,d^{3} x^{3} \ln \left(F \right)^{2}-18 b^{2} c^{2} d^{2} x^{2} \ln \left(F \right)^{2}-12 b^{2} c^{3} d x \ln \left(F \right)^{2}-3 b^{2} c^{4} \ln \left(F \right)^{2}+6 b \,d^{2} x^{2} \ln \left(F \right)+12 b c d x \ln \left(F \right)+6 b \,c^{2} \ln \left(F \right)-6\right) F^{b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a}}{2 b^{4} d \ln \left(F \right)^{4}}"," ",0,"1/2*(b^3*d^6*x^6*ln(F)^3+6*b^3*c*d^5*x^5*ln(F)^3+15*b^3*c^2*d^4*x^4*ln(F)^3+20*b^3*c^3*d^3*x^3*ln(F)^3+15*b^3*c^4*d^2*x^2*ln(F)^3+6*b^3*c^5*d*x*ln(F)^3+b^3*c^6*ln(F)^3-3*b^2*d^4*x^4*ln(F)^2-12*b^2*c*d^3*x^3*ln(F)^2-18*b^2*c^2*d^2*x^2*ln(F)^2-12*b^2*c^3*d*x*ln(F)^2-3*b^2*c^4*ln(F)^2+6*b*d^2*x^2*ln(F)+12*b*c*d*x*ln(F)+6*b*c^2*ln(F)-6)*F^(b*d^2*x^2+2*b*c*d*x+b*c^2+a)/ln(F)^4/b^4/d","B"
258,1,138,89,0.010000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^5,x)","\frac{\left(b^{2} d^{4} x^{4} \ln \left(F \right)^{2}+4 b^{2} c \,d^{3} x^{3} \ln \left(F \right)^{2}+6 b^{2} c^{2} d^{2} x^{2} \ln \left(F \right)^{2}+4 b^{2} c^{3} d x \ln \left(F \right)^{2}+b^{2} c^{4} \ln \left(F \right)^{2}-2 b \,d^{2} x^{2} \ln \left(F \right)-4 b c d x \ln \left(F \right)-2 b \,c^{2} \ln \left(F \right)+2\right) F^{b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a}}{2 b^{3} d \ln \left(F \right)^{3}}"," ",0,"1/2*(b^2*d^4*x^4*ln(F)^2+4*b^2*c*d^3*x^3*ln(F)^2+6*b^2*c^2*d^2*x^2*ln(F)^2+4*b^2*c^3*d*x*ln(F)^2+b^2*c^4*ln(F)^2-2*b*d^2*x^2*ln(F)-4*b*c*d*x*ln(F)-2*b*c^2*ln(F)+2)*F^(b*d^2*x^2+2*b*c*d*x+b*c^2+a)/ln(F)^3/b^3/d","A"
259,1,63,58,0.009000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^3,x)","\frac{\left(b \,d^{2} x^{2} \ln \left(F \right)+2 b c d x \ln \left(F \right)+b \,c^{2} \ln \left(F \right)-1\right) F^{b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a}}{2 b^{2} d \ln \left(F \right)^{2}}"," ",0,"1/2*(b*d^2*x^2*ln(F)+2*b*c*d*x*ln(F)+b*c^2*ln(F)-1)*F^(b*d^2*x^2+2*b*c*d*x+b*c^2+a)/b^2/d/ln(F)^2","A"
260,1,36,25,0.007000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c),x)","\frac{F^{b \,d^{2} x^{2}+2 b c d x +b \,c^{2}+a}}{2 b d \ln \left(F \right)}"," ",0,"1/2*F^(b*d^2*x^2+2*b*c*d*x+b*c^2+a)/b/d/ln(F)","A"
261,1,23,20,0.044000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c),x)","-\frac{F^{a} \Ei \left(1, -\left(d x +c \right)^{2} b \ln \left(F \right)\right)}{2 d}"," ",0,"-1/2/d*F^a*Ei(1,-b*(d*x+c)^2*ln(F))","A"
262,1,53,49,0.056000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^3,x)","-\frac{b \,F^{a} \Ei \left(1, -\left(d x +c \right)^{2} b \ln \left(F \right)\right) \ln \left(F \right)}{2 d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{2 \left(d x +c \right)^{2} d}"," ",0,"-1/2/d/(d*x+c)^2*F^((d*x+c)^2*b)*F^a-1/2/d*b*ln(F)*F^a*Ei(1,-(d*x+c)^2*b*ln(F))","A"
263,1,86,81,0.070000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^5,x)","-\frac{b^{2} F^{a} \Ei \left(1, -\left(d x +c \right)^{2} b \ln \left(F \right)\right) \ln \left(F \right)^{2}}{4 d}-\frac{b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{4 \left(d x +c \right)^{2} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{4 \left(d x +c \right)^{4} d}"," ",0,"-1/4/d/(d*x+c)^4*F^((d*x+c)^2*b)*F^a-1/4/d*b*ln(F)/(d*x+c)^2*F^((d*x+c)^2*b)*F^a-1/4/d*b^2*ln(F)^2*F^a*Ei(1,-(d*x+c)^2*b*ln(F))","A"
264,1,119,113,0.089000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^7,x)","-\frac{b^{3} F^{a} \Ei \left(1, -\left(d x +c \right)^{2} b \ln \left(F \right)\right) \ln \left(F \right)^{3}}{12 d}-\frac{b^{2} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{2}}{12 \left(d x +c \right)^{2} d}-\frac{b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{12 \left(d x +c \right)^{4} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{6 \left(d x +c \right)^{6} d}"," ",0,"-1/6/d/(d*x+c)^6*F^((d*x+c)^2*b)*F^a-1/12/d*b*ln(F)/(d*x+c)^4*F^((d*x+c)^2*b)*F^a-1/12/d*b^2*ln(F)^2/(d*x+c)^2*F^((d*x+c)^2*b)*F^a-1/12/d*b^3*ln(F)^3*F^a*Ei(1,-(d*x+c)^2*b*ln(F))","A"
265,1,152,29,0.124000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^9,x)","-\frac{b^{4} F^{a} \Ei \left(1, -\left(d x +c \right)^{2} b \ln \left(F \right)\right) \ln \left(F \right)^{4}}{48 d}-\frac{b^{3} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{3}}{48 \left(d x +c \right)^{2} d}-\frac{b^{2} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{2}}{48 \left(d x +c \right)^{4} d}-\frac{b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{24 \left(d x +c \right)^{6} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{8 \left(d x +c \right)^{8} d}"," ",0,"-1/8/d/(d*x+c)^8*F^((d*x+c)^2*b)*F^a-1/24/d*b*ln(F)/(d*x+c)^6*F^((d*x+c)^2*b)*F^a-1/48/d*b^2*ln(F)^2/(d*x+c)^4*F^((d*x+c)^2*b)*F^a-1/48/d*b^3*ln(F)^3/(d*x+c)^2*F^((d*x+c)^2*b)*F^a-1/48/d*b^4*ln(F)^4*F^a*Ei(1,-(d*x+c)^2*b*ln(F))","B"
266,1,185,29,0.169000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^11,x)","-\frac{b^{5} F^{a} \Ei \left(1, -\left(d x +c \right)^{2} b \ln \left(F \right)\right) \ln \left(F \right)^{5}}{240 d}-\frac{b^{4} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{4}}{240 \left(d x +c \right)^{2} d}-\frac{b^{3} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{3}}{240 \left(d x +c \right)^{4} d}-\frac{b^{2} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{2}}{120 \left(d x +c \right)^{6} d}-\frac{b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{40 \left(d x +c \right)^{8} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{10 \left(d x +c \right)^{10} d}"," ",0,"-1/10/d/(d*x+c)^10*F^((d*x+c)^2*b)*F^a-1/40/d*b*ln(F)/(d*x+c)^8*F^((d*x+c)^2*b)*F^a-1/120/d*b^2*ln(F)^2/(d*x+c)^6*F^((d*x+c)^2*b)*F^a-1/240/d*b^3*ln(F)^3/(d*x+c)^4*F^((d*x+c)^2*b)*F^a-1/240/d*b^4*ln(F)^4/(d*x+c)^2*F^((d*x+c)^2*b)*F^a-1/240/d*b^5*ln(F)^5*F^a*Ei(1,-(d*x+c)^2*b*ln(F))","B"
267,1,1896,578,0.506000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^12,x)","\frac{d^{10} x^{11} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{11 c \,d^{9} x^{10} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{55 c^{2} d^{8} x^{9} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{165 c^{3} d^{7} x^{8} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{165 c^{4} d^{6} x^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{231 c^{5} d^{5} x^{6} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{231 c^{6} d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}-\frac{11 d^{8} x^{9} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{165 c^{7} d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}-\frac{99 c \,d^{7} x^{8} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{165 c^{8} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}-\frac{99 c^{2} d^{6} x^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{2} \ln \left(F \right)^{2}}+\frac{55 c^{9} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}-\frac{231 c^{3} d^{5} x^{6} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{2} \ln \left(F \right)^{2}}+\frac{11 c^{10} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}-\frac{693 c^{4} d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b^{2} \ln \left(F \right)^{2}}+\frac{c^{11} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b d \ln \left(F \right)}-\frac{693 c^{5} d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b^{2} \ln \left(F \right)^{2}}-\frac{231 c^{6} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{2} \ln \left(F \right)^{2}}+\frac{99 d^{6} x^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}-\frac{99 c^{7} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{2} \ln \left(F \right)^{2}}+\frac{693 c \,d^{5} x^{6} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}-\frac{99 c^{8} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{2079 c^{2} d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}-\frac{11 c^{9} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d \ln \left(F \right)^{2}}+\frac{3465 c^{3} d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{3465 c^{4} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{2079 c^{5} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{693 c^{6} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}-\frac{693 d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} \ln \left(F \right)^{4}}+\frac{99 c^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} d \ln \left(F \right)^{3}}-\frac{3465 c \,d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} \ln \left(F \right)^{4}}-\frac{3465 c^{2} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{4} \ln \left(F \right)^{4}}-\frac{3465 c^{3} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{4} \ln \left(F \right)^{4}}-\frac{3465 c^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} \ln \left(F \right)^{4}}-\frac{693 c^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} d \ln \left(F \right)^{4}}+\frac{3465 d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{32 b^{5} \ln \left(F \right)^{5}}+\frac{10395 c d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{32 b^{5} \ln \left(F \right)^{5}}+\frac{10395 c^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{32 b^{5} \ln \left(F \right)^{5}}+\frac{3465 c^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{32 b^{5} d \ln \left(F \right)^{5}}-\frac{10395 x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{64 b^{6} \ln \left(F \right)^{6}}-\frac{10395 c \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{64 b^{6} d \ln \left(F \right)^{6}}-\frac{10395 \sqrt{\pi}\, F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{128 \sqrt{-b \ln \left(F \right)}\, b^{6} d \ln \left(F \right)^{6}}"," ",0,"3465/32/d*c^3/ln(F)^5/b^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2/d*c^11/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-11/4/d*c^9/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+99/8/d*c^7/ln(F)^3/b^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-10395/64/d*c/ln(F)^6/b^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*d^10/ln(F)/b*x^11*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-11/4*d^8/ln(F)^2/b^2*x^9*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+99/8*d^6/ln(F)^3/b^3*x^7*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-693/16*d^4/ln(F)^4/b^4*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3465/32*d^2/ln(F)^5/b^5*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-693/16/d*c^5/ln(F)^4/b^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+11/2*c^10/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-99/4*c^8/ln(F)^2/b^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+10395/32*c^2/ln(F)^5/b^5*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+693/8*c^6/ln(F)^3/b^3*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3465/16*c^4/ln(F)^4/b^4*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-99*d*c^7/ln(F)^2/b^2*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-231*d^2*c^6/ln(F)^2/b^2*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-99*d^6*c^2/ln(F)^2/b^2*x^7*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+2079/8*d^4*c^2/ln(F)^3/b^3*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3465/8*d^2*c^2/ln(F)^4/b^4*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-99/4*d^7*c/ln(F)^2/b^2*x^8*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+693/8*d^5*c/ln(F)^3/b^3*x^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3465/16*d^3*c/ln(F)^4/b^4*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+10395/32*d*c/ln(F)^5/b^5*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+11/2*d^9*c/ln(F)/b*x^10*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+55/2*d^8*c^2/ln(F)/b*x^9*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+165/2*d^7*c^3/ln(F)/b*x^8*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-231*d^5*c^3/ln(F)^2/b^2*x^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3465/8*d^3*c^3/ln(F)^3/b^3*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3465/8*d*c^3/ln(F)^4/b^4*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+165*d^6*c^4/ln(F)/b*x^7*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-693/2*d^4*c^4/ln(F)^2/b^2*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3465/8*d^2*c^4/ln(F)^3/b^3*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+231*d^5*c^5/ln(F)/b*x^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-693/2*d^3*c^5/ln(F)^2/b^2*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+2079/8*d*c^5/ln(F)^3/b^3*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+231*d^4*c^6/ln(F)/b*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+165*d^3*c^7/ln(F)/b*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+165/2*d^2*c^8/ln(F)/b*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+55/2*d*c^9/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-10395/64/ln(F)^6/b^6*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-10395/128/d/ln(F)^6/b^6*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(-d*(-b*ln(F))^(1/2)*x+b*c*ln(F)/(-b*ln(F))^(1/2))","B"
268,1,1359,606,0.250000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^10,x)","\frac{d^{8} x^{9} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{9 c \,d^{7} x^{8} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{18 c^{2} d^{6} x^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{42 c^{3} d^{5} x^{6} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{63 c^{4} d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{63 c^{5} d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{42 c^{6} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}-\frac{9 d^{6} x^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{18 c^{7} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}-\frac{63 c \,d^{5} x^{6} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{9 c^{8} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}-\frac{189 c^{2} d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{c^{9} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b d \ln \left(F \right)}-\frac{315 c^{3} d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{315 c^{4} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{189 c^{5} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{63 c^{6} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{63 d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}-\frac{9 c^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d \ln \left(F \right)^{2}}+\frac{315 c \,d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{315 c^{2} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{3} \ln \left(F \right)^{3}}+\frac{315 c^{3} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{3} \ln \left(F \right)^{3}}+\frac{315 c^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{63 c^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} d \ln \left(F \right)^{3}}-\frac{315 d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} \ln \left(F \right)^{4}}-\frac{945 c d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} \ln \left(F \right)^{4}}-\frac{945 c^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} \ln \left(F \right)^{4}}-\frac{315 c^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} d \ln \left(F \right)^{4}}+\frac{945 x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{32 b^{5} \ln \left(F \right)^{5}}+\frac{945 c \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{32 b^{5} d \ln \left(F \right)^{5}}+\frac{945 \sqrt{\pi}\, F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{64 \sqrt{-b \ln \left(F \right)}\, b^{5} d \ln \left(F \right)^{5}}"," ",0,"1/2*d^8/ln(F)/b*x^9*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+63/8*d^4/ln(F)^3/b^3*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-315/16*d^2/ln(F)^4/b^4*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-9/4*d^6/ln(F)^2/b^2*x^7*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+945/32/d*c/ln(F)^5/b^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-315/16/d*c^3/ln(F)^4/b^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2/d*c^9/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-9/4/d*c^7/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+63/8/d*c^5/ln(F)^3/b^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+315/8*c^4/ln(F)^3/b^3*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-945/16*c^2/ln(F)^4/b^4*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+9/2*c^8/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-63/4*c^6/ln(F)^2/b^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+63*d^3*c^5/ln(F)/b*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+42*d^2*c^6/ln(F)/b*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+18*d*c^7/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-189/4*d*c^5/ln(F)^2/b^2*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-315/4*d^2*c^4/ln(F)^2/b^2*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+42*d^5*c^3/ln(F)/b*x^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-315/4*d^3*c^3/ln(F)^2/b^2*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+315/4*d*c^3/ln(F)^3/b^3*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-189/4*d^4*c^2/ln(F)^2/b^2*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+315/4*d^2*c^2/ln(F)^3/b^3*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+9/2*d^7*c/ln(F)/b*x^8*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+63*d^4*c^4/ln(F)/b*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+18*d^6*c^2/ln(F)/b*x^7*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-63/4*d^5*c/ln(F)^2/b^2*x^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+315/8*d^3*c/ln(F)^3/b^3*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-945/16*d*c/ln(F)^4/b^4*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+945/32/ln(F)^5/b^5*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+945/64/d/ln(F)^5/b^5*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
269,1,914,159,0.162000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^8,x)","\frac{d^{6} x^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{7 c \,d^{5} x^{6} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{21 c^{2} d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{35 c^{3} d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{35 c^{4} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{21 c^{5} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{7 c^{6} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}-\frac{7 d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}+\frac{c^{7} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b d \ln \left(F \right)}-\frac{35 c \,d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{35 c^{2} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b^{2} \ln \left(F \right)^{2}}-\frac{35 c^{3} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b^{2} \ln \left(F \right)^{2}}-\frac{35 c^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{7 c^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d \ln \left(F \right)^{2}}+\frac{35 d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{105 c d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{105 c^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{35 c^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} d \ln \left(F \right)^{3}}-\frac{105 x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} \ln \left(F \right)^{4}}-\frac{105 c \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{16 b^{4} d \ln \left(F \right)^{4}}-\frac{105 \sqrt{\pi}\, F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{32 \sqrt{-b \ln \left(F \right)}\, b^{4} d \ln \left(F \right)^{4}}"," ",0,"-35/2*d*c^3/ln(F)^2/b^2*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-35/2*d^2*c^2/ln(F)^2/b^2*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+35/2*d^3*c^3/ln(F)/b*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+35/2*d^2*c^4/ln(F)/b*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+21/2*d*c^5/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-35/4*d^3*c/ln(F)^2/b^2*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+105/8*d*c/ln(F)^3/b^3*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+7/2*d^5*c/ln(F)/b*x^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+21/2*d^4*c^2/ln(F)/b*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+105/8*c^2/ln(F)^3/b^3*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+7/2*c^6/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-35/4*c^4/ln(F)^2/b^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*d^6/ln(F)/b*x^7*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-7/4*d^4/ln(F)^2/b^2*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+35/8*d^2/ln(F)^3/b^3*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-105/16/d*c/ln(F)^4/b^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2/d*c^7/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-7/4/d*c^5/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+35/8/d*c^3/ln(F)^3/b^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-105/16/ln(F)^4/b^4*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-105/32/d/ln(F)^4/b^4*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
270,1,561,127,0.113000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^6,x)","\frac{d^{4} x^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{5 c \,d^{3} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{5 c^{2} d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{5 c^{3} d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \ln \left(F \right)}+\frac{5 c^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{c^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b d \ln \left(F \right)}-\frac{5 d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{15 c d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{15 c^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{5 c^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d \ln \left(F \right)^{2}}+\frac{15 x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} \ln \left(F \right)^{3}}+\frac{15 c \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{8 b^{3} d \ln \left(F \right)^{3}}+\frac{15 \sqrt{\pi}\, F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{16 \sqrt{-b \ln \left(F \right)}\, b^{3} d \ln \left(F \right)^{3}}"," ",0,"5/2*d^3*c/ln(F)/b*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5*d^2*c^2/ln(F)/b*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5*d*c^3/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-15/4*d*c/ln(F)^2/b^2*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*d^4/ln(F)/b*x^5*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5/2*c^4/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2/d*c^5/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-5/4/d*c^3/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-15/4*c^2/ln(F)^2/b^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+15/8/d*c/ln(F)^3/b^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-5/4*d^2/ln(F)^2/b^2*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+15/8/ln(F)^3/b^3*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+15/16/d/ln(F)^3/b^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
271,1,300,95,0.088000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^4,x)","\frac{d^{2} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{3 c d \,x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{3 c^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{c^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b d \ln \left(F \right)}-\frac{3 x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} \ln \left(F \right)^{2}}-\frac{3 c \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d \ln \left(F \right)^{2}}-\frac{3 \sqrt{\pi}\, F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{8 \sqrt{-b \ln \left(F \right)}\, b^{2} d \ln \left(F \right)^{2}}"," ",0,"1/2*d^2/ln(F)/b*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3/2*d*c/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3/2*c^2/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2/d*c^3/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3/4/d*c/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3/4/ln(F)^2/b^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3/8/d/ln(F)^2/b^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
272,1,131,63,0.073000," ","int(F^(a+(d*x+c)^2*b)*(d*x+c)^2,x)","\frac{x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \ln \left(F \right)}+\frac{c \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b d \ln \left(F \right)}+\frac{\sqrt{\pi}\, F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{4 \sqrt{-b \ln \left(F \right)}\, b d \ln \left(F \right)}"," ",0,"1/2/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2/d*c/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/4/d/ln(F)/b*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
273,1,58,32,0.053000," ","int(F^(a+(d*x+c)^2*b),x)","-\frac{\sqrt{\pi}\, F^{-b \,c^{2}} F^{b \,c^{2}+a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d}"," ",0,"-1/2*Pi^(1/2)*F^(b*c^2+a)*F^(-b*c^2)/d/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","A"
274,1,62,57,0.079000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^2,x)","\frac{\sqrt{\pi}\, b \,F^{a} \erf \left(\sqrt{-b \ln \left(F \right)}\, \left(d x +c \right)\right) \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}\, d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{\left(d x +c \right) d}"," ",0,"-1/d/(d*x+c)*F^((d*x+c)^2*b)*F^a+1/d*b*ln(F)*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)*(d*x+c))","A"
275,1,96,86,0.078000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^4,x)","\frac{2 \sqrt{\pi}\, b^{2} F^{a} \erf \left(\sqrt{-b \ln \left(F \right)}\, \left(d x +c \right)\right) \ln \left(F \right)^{2}}{3 \sqrt{-b \ln \left(F \right)}\, d}-\frac{2 b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{3 \left(d x +c \right) d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{3 \left(d x +c \right)^{3} d}"," ",0,"-1/3/d/(d*x+c)^3*F^((d*x+c)^2*b)*F^a-2/3/d*b*ln(F)/(d*x+c)*F^((d*x+c)^2*b)*F^a+2/3/d*b^2*ln(F)^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)*(d*x+c))","A"
276,1,129,118,0.090000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^6,x)","\frac{4 \sqrt{\pi}\, b^{3} F^{a} \erf \left(\sqrt{-b \ln \left(F \right)}\, \left(d x +c \right)\right) \ln \left(F \right)^{3}}{15 \sqrt{-b \ln \left(F \right)}\, d}-\frac{4 b^{2} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{2}}{15 \left(d x +c \right) d}-\frac{2 b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{15 \left(d x +c \right)^{3} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{5 \left(d x +c \right)^{5} d}"," ",0,"-1/5/d/(d*x+c)^5*F^((d*x+c)^2*b)*F^a-2/15/d*b*ln(F)/(d*x+c)^3*F^((d*x+c)^2*b)*F^a-4/15/d*b^2*ln(F)^2/(d*x+c)*F^((d*x+c)^2*b)*F^a+4/15/d*b^3*ln(F)^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)*(d*x+c))","A"
277,1,162,150,0.122000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^8,x)","\frac{8 \sqrt{\pi}\, b^{4} F^{a} \erf \left(\sqrt{-b \ln \left(F \right)}\, \left(d x +c \right)\right) \ln \left(F \right)^{4}}{105 \sqrt{-b \ln \left(F \right)}\, d}-\frac{8 b^{3} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{3}}{105 \left(d x +c \right) d}-\frac{4 b^{2} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{2}}{105 \left(d x +c \right)^{3} d}-\frac{2 b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{35 \left(d x +c \right)^{5} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{7 \left(d x +c \right)^{7} d}"," ",0,"-1/7/d/(d*x+c)^7*F^((d*x+c)^2*b)*F^a-2/35/d*b*ln(F)/(d*x+c)^5*F^((d*x+c)^2*b)*F^a-4/105/d*b^2*ln(F)^2/(d*x+c)^3*F^((d*x+c)^2*b)*F^a-8/105/d*b^3*ln(F)^3/(d*x+c)*F^((d*x+c)^2*b)*F^a+8/105/d*b^4*ln(F)^4*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)*(d*x+c))","A"
278,1,195,190,0.155000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^10,x)","\frac{16 \sqrt{\pi}\, b^{5} F^{a} \erf \left(\sqrt{-b \ln \left(F \right)}\, \left(d x +c \right)\right) \ln \left(F \right)^{5}}{945 \sqrt{-b \ln \left(F \right)}\, d}-\frac{16 b^{4} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{4}}{945 \left(d x +c \right) d}-\frac{8 b^{3} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{3}}{945 \left(d x +c \right)^{3} d}-\frac{4 b^{2} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{2}}{315 \left(d x +c \right)^{5} d}-\frac{2 b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{63 \left(d x +c \right)^{7} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{9 \left(d x +c \right)^{9} d}"," ",0,"-1/9/d/(d*x+c)^9*F^((d*x+c)^2*b)*F^a-2/63/d*b*ln(F)/(d*x+c)^7*F^((d*x+c)^2*b)*F^a-4/315/d*b^2*ln(F)^2/(d*x+c)^5*F^((d*x+c)^2*b)*F^a-8/945/d*b^3*ln(F)^3/(d*x+c)^3*F^((d*x+c)^2*b)*F^a-16/945/d*b^4*ln(F)^4/(d*x+c)*F^((d*x+c)^2*b)*F^a+16/945/d*b^5*ln(F)^5*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)*(d*x+c))","A"
279,1,228,218,0.219000," ","int(F^(a+(d*x+c)^2*b)/(d*x+c)^12,x)","\frac{32 \sqrt{\pi}\, b^{6} F^{a} \erf \left(\sqrt{-b \ln \left(F \right)}\, \left(d x +c \right)\right) \ln \left(F \right)^{6}}{10395 \sqrt{-b \ln \left(F \right)}\, d}-\frac{32 b^{5} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{5}}{10395 \left(d x +c \right) d}-\frac{16 b^{4} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{4}}{10395 \left(d x +c \right)^{3} d}-\frac{8 b^{3} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{3}}{3465 \left(d x +c \right)^{5} d}-\frac{4 b^{2} F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)^{2}}{693 \left(d x +c \right)^{7} d}-\frac{2 b \,F^{a} F^{\left(d x +c \right)^{2} b} \ln \left(F \right)}{99 \left(d x +c \right)^{9} d}-\frac{F^{a} F^{\left(d x +c \right)^{2} b}}{11 \left(d x +c \right)^{11} d}"," ",0,"-1/11/d/(d*x+c)^11*F^((d*x+c)^2*b)*F^a-2/99/d*b*ln(F)/(d*x+c)^9*F^((d*x+c)^2*b)*F^a-4/693/d*b^2*ln(F)^2/(d*x+c)^7*F^((d*x+c)^2*b)*F^a-8/3465/d*b^3*ln(F)^3/(d*x+c)^5*F^((d*x+c)^2*b)*F^a-16/10395/d*b^4*ln(F)^4/(d*x+c)^3*F^((d*x+c)^2*b)*F^a-32/10395/d*b^5*ln(F)^5/(d*x+c)*F^((d*x+c)^2*b)*F^a+32/10395/d*b^6*ln(F)^6*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)*(d*x+c))","A"
280,0,0,53,0.098000," ","int(F^(a+b*(d*x+c)^3)*(d*x+c)^m,x)","\int F^{a +\left(d x +c \right)^{3} b} \left(d x +c \right)^{m}\, dx"," ",0,"int(F^(a+b*(d*x+c)^3)*(d*x+c)^m,x)","F"
281,1,857,103,0.022000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c)^17,x)","\frac{\left(b^{5} d^{15} x^{15} \ln \left(F \right)^{5}+15 b^{5} c \,d^{14} x^{14} \ln \left(F \right)^{5}+105 b^{5} c^{2} d^{13} x^{13} \ln \left(F \right)^{5}+455 b^{5} c^{3} d^{12} x^{12} \ln \left(F \right)^{5}+1365 b^{5} c^{4} d^{11} x^{11} \ln \left(F \right)^{5}+3003 b^{5} c^{5} d^{10} x^{10} \ln \left(F \right)^{5}+5005 b^{5} c^{6} d^{9} x^{9} \ln \left(F \right)^{5}+6435 b^{5} c^{7} d^{8} x^{8} \ln \left(F \right)^{5}+6435 b^{5} c^{8} d^{7} x^{7} \ln \left(F \right)^{5}-5 b^{4} d^{12} x^{12} \ln \left(F \right)^{4}+5005 b^{5} c^{9} d^{6} x^{6} \ln \left(F \right)^{5}-60 b^{4} c \,d^{11} x^{11} \ln \left(F \right)^{4}+3003 b^{5} c^{10} d^{5} x^{5} \ln \left(F \right)^{5}-330 b^{4} c^{2} d^{10} x^{10} \ln \left(F \right)^{4}+1365 b^{5} c^{11} d^{4} x^{4} \ln \left(F \right)^{5}-1100 b^{4} c^{3} d^{9} x^{9} \ln \left(F \right)^{4}+455 b^{5} c^{12} d^{3} x^{3} \ln \left(F \right)^{5}-2475 b^{4} c^{4} d^{8} x^{8} \ln \left(F \right)^{4}+105 b^{5} c^{13} d^{2} x^{2} \ln \left(F \right)^{5}-3960 b^{4} c^{5} d^{7} x^{7} \ln \left(F \right)^{4}+15 b^{5} c^{14} d x \ln \left(F \right)^{5}-4620 b^{4} c^{6} d^{6} x^{6} \ln \left(F \right)^{4}+b^{5} c^{15} \ln \left(F \right)^{5}-3960 b^{4} c^{7} d^{5} x^{5} \ln \left(F \right)^{4}-2475 b^{4} c^{8} d^{4} x^{4} \ln \left(F \right)^{4}+20 b^{3} d^{9} x^{9} \ln \left(F \right)^{3}-1100 b^{4} c^{9} d^{3} x^{3} \ln \left(F \right)^{4}+180 b^{3} c \,d^{8} x^{8} \ln \left(F \right)^{3}-330 b^{4} c^{10} d^{2} x^{2} \ln \left(F \right)^{4}+720 b^{3} c^{2} d^{7} x^{7} \ln \left(F \right)^{3}-60 b^{4} c^{11} d x \ln \left(F \right)^{4}+1680 b^{3} c^{3} d^{6} x^{6} \ln \left(F \right)^{3}-5 b^{4} c^{12} \ln \left(F \right)^{4}+2520 b^{3} c^{4} d^{5} x^{5} \ln \left(F \right)^{3}+2520 b^{3} c^{5} d^{4} x^{4} \ln \left(F \right)^{3}+1680 b^{3} c^{6} d^{3} x^{3} \ln \left(F \right)^{3}+720 b^{3} c^{7} d^{2} x^{2} \ln \left(F \right)^{3}+180 b^{3} c^{8} d x \ln \left(F \right)^{3}-60 b^{2} d^{6} x^{6} \ln \left(F \right)^{2}+20 b^{3} c^{9} \ln \left(F \right)^{3}-360 b^{2} c \,d^{5} x^{5} \ln \left(F \right)^{2}-900 b^{2} c^{2} d^{4} x^{4} \ln \left(F \right)^{2}-1200 b^{2} c^{3} d^{3} x^{3} \ln \left(F \right)^{2}-900 b^{2} c^{4} d^{2} x^{2} \ln \left(F \right)^{2}-360 b^{2} c^{5} d x \ln \left(F \right)^{2}-60 b^{2} c^{6} \ln \left(F \right)^{2}+120 b \,d^{3} x^{3} \ln \left(F \right)+360 b c \,d^{2} x^{2} \ln \left(F \right)+360 b \,c^{2} d x \ln \left(F \right)+120 b \,c^{3} \ln \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 \ln \left(F \right)^{6}}"," ",0,"1/3*(-120+120*ln(F)*b*c^3+360*ln(F)*b*c*d^2*x^2+360*ln(F)*b*c^2*d*x+120*ln(F)*b*d^3*x^3+20*ln(F)^3*b^3*c^9+d^15*x^15*ln(F)^5*b^5-5*d^12*x^12*ln(F)^4*b^4+20*d^9*x^9*ln(F)^3*b^3-60*d^6*x^6*ln(F)^2*b^2-60*ln(F)^2*b^2*c^6-5*ln(F)^4*b^4*c^12+ln(F)^5*b^5*c^15-4620*ln(F)^4*b^4*c^6*d^6*x^6-3960*ln(F)^4*b^4*c^7*d^5*x^5-2475*ln(F)^4*b^4*c^8*d^4*x^4-1100*ln(F)^4*b^4*c^9*d^3*x^3+180*c*d^8*x^8*ln(F)^3*b^3-330*ln(F)^4*b^4*c^10*d^2*x^2+720*c^2*d^7*x^7*ln(F)^3*b^3-60*ln(F)^4*b^4*c^11*d*x+1680*ln(F)^3*b^3*c^3*d^6*x^6+2520*ln(F)^3*b^3*c^4*d^5*x^5+2520*ln(F)^3*b^3*c^5*d^4*x^4+1680*ln(F)^3*b^3*c^6*d^3*x^3+720*ln(F)^3*b^3*c^7*d^2*x^2+180*ln(F)^3*b^3*c^8*d*x-360*c*d^5*x^5*ln(F)^2*b^2-900*c^2*d^4*x^4*ln(F)^2*b^2-1200*ln(F)^2*b^2*c^3*d^3*x^3-900*ln(F)^2*b^2*c^4*d^2*x^2-360*ln(F)^2*b^2*c^5*d*x+15*ln(F)^5*b^5*c^14*d*x+455*ln(F)^5*b^5*c^3*d^12*x^12+1365*ln(F)^5*b^5*c^4*d^11*x^11+3003*ln(F)^5*b^5*c^5*d^10*x^10+5005*ln(F)^5*b^5*c^6*d^9*x^9+6435*ln(F)^5*b^5*c^7*d^8*x^8+6435*ln(F)^5*b^5*c^8*d^7*x^7+5005*ln(F)^5*b^5*c^9*d^6*x^6-60*c*d^11*x^11*ln(F)^4*b^4+3003*ln(F)^5*b^5*c^10*d^5*x^5-330*c^2*d^10*x^10*ln(F)^4*b^4+1365*ln(F)^5*b^5*c^11*d^4*x^4-1100*ln(F)^4*b^4*c^3*d^9*x^9+455*ln(F)^5*b^5*c^12*d^3*x^3-2475*ln(F)^4*b^4*c^4*d^8*x^8+105*ln(F)^5*b^5*c^13*d^2*x^2-3960*ln(F)^4*b^4*c^5*d^7*x^7+15*d^14*c*x^14*ln(F)^5*b^5+105*d^13*c^2*x^13*ln(F)^5*b^5)*F^(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/d/ln(F)^6/b^6","B"
282,1,584,86,0.020000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c)^14,x)","\frac{\left(b^{4} d^{12} x^{12} \ln \left(F \right)^{4}+12 b^{4} c \,d^{11} x^{11} \ln \left(F \right)^{4}+66 b^{4} c^{2} d^{10} x^{10} \ln \left(F \right)^{4}+220 b^{4} c^{3} d^{9} x^{9} \ln \left(F \right)^{4}+495 b^{4} c^{4} d^{8} x^{8} \ln \left(F \right)^{4}+792 b^{4} c^{5} d^{7} x^{7} \ln \left(F \right)^{4}+924 b^{4} c^{6} d^{6} x^{6} \ln \left(F \right)^{4}+792 b^{4} c^{7} d^{5} x^{5} \ln \left(F \right)^{4}+495 b^{4} c^{8} d^{4} x^{4} \ln \left(F \right)^{4}-4 b^{3} d^{9} x^{9} \ln \left(F \right)^{3}+220 b^{4} c^{9} d^{3} x^{3} \ln \left(F \right)^{4}-36 b^{3} c \,d^{8} x^{8} \ln \left(F \right)^{3}+66 b^{4} c^{10} d^{2} x^{2} \ln \left(F \right)^{4}-144 b^{3} c^{2} d^{7} x^{7} \ln \left(F \right)^{3}+12 b^{4} c^{11} d x \ln \left(F \right)^{4}-336 b^{3} c^{3} d^{6} x^{6} \ln \left(F \right)^{3}+b^{4} c^{12} \ln \left(F \right)^{4}-504 b^{3} c^{4} d^{5} x^{5} \ln \left(F \right)^{3}-504 b^{3} c^{5} d^{4} x^{4} \ln \left(F \right)^{3}-336 b^{3} c^{6} d^{3} x^{3} \ln \left(F \right)^{3}-144 b^{3} c^{7} d^{2} x^{2} \ln \left(F \right)^{3}-36 b^{3} c^{8} d x \ln \left(F \right)^{3}+12 b^{2} d^{6} x^{6} \ln \left(F \right)^{2}-4 b^{3} c^{9} \ln \left(F \right)^{3}+72 b^{2} c \,d^{5} x^{5} \ln \left(F \right)^{2}+180 b^{2} c^{2} d^{4} x^{4} \ln \left(F \right)^{2}+240 b^{2} c^{3} d^{3} x^{3} \ln \left(F \right)^{2}+180 b^{2} c^{4} d^{2} x^{2} \ln \left(F \right)^{2}+72 b^{2} c^{5} d x \ln \left(F \right)^{2}+12 b^{2} c^{6} \ln \left(F \right)^{2}-24 b \,d^{3} x^{3} \ln \left(F \right)-72 b c \,d^{2} x^{2} \ln \left(F \right)-72 b \,c^{2} d x \ln \left(F \right)-24 b \,c^{3} \ln \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 \ln \left(F \right)^{5}}"," ",0,"1/3*(24-24*b*c^3*ln(F)-72*b*c*d^2*x^2*ln(F)-72*b*c^2*d*x*ln(F)-24*b*d^3*x^3*ln(F)-4*b^3*c^9*ln(F)^3+b^4*d^12*x^12*ln(F)^4-4*b^3*d^9*x^9*ln(F)^3+12*b^2*d^6*x^6*ln(F)^2+12*b^2*c^6*ln(F)^2+b^4*c^12*ln(F)^4+924*b^4*c^6*d^6*x^6*ln(F)^4+792*b^4*c^7*d^5*x^5*ln(F)^4+495*b^4*c^8*d^4*x^4*ln(F)^4+220*b^4*c^9*d^3*x^3*ln(F)^4-36*b^3*c*d^8*x^8*ln(F)^3+66*b^4*c^10*d^2*x^2*ln(F)^4-144*b^3*c^2*d^7*x^7*ln(F)^3+12*b^4*c^11*d*x*ln(F)^4-336*b^3*c^3*d^6*x^6*ln(F)^3-504*b^3*c^4*d^5*x^5*ln(F)^3-504*b^3*c^5*d^4*x^4*ln(F)^3-336*b^3*c^6*d^3*x^3*ln(F)^3-144*b^3*c^7*d^2*x^2*ln(F)^3-36*b^3*c^8*d*x*ln(F)^3+72*b^2*c*d^5*x^5*ln(F)^2+180*b^2*c^2*d^4*x^4*ln(F)^2+240*b^2*c^3*d^3*x^3*ln(F)^2+180*b^2*c^4*d^2*x^2*ln(F)^2+72*b^2*c^5*d*x*ln(F)^2+12*b^4*c*d^11*x^11*ln(F)^4+66*b^4*c^2*d^10*x^10*ln(F)^4+220*b^4*c^3*d^9*x^9*ln(F)^4+495*b^4*c^4*d^8*x^8*ln(F)^4+792*b^4*c^5*d^7*x^7*ln(F)^4)*F^(b*d^3*x^3+3*b*c*d^2*x^2+3*b*c^2*d*x+b*c^3+a)/d/ln(F)^5/b^5","B"
283,1,365,122,0.014000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c)^11,x)","\frac{\left(b^{3} d^{9} x^{9} \ln \left(F \right)^{3}+9 b^{3} c \,d^{8} x^{8} \ln \left(F \right)^{3}+36 b^{3} c^{2} d^{7} x^{7} \ln \left(F \right)^{3}+84 b^{3} c^{3} d^{6} x^{6} \ln \left(F \right)^{3}+126 b^{3} c^{4} d^{5} x^{5} \ln \left(F \right)^{3}+126 b^{3} c^{5} d^{4} x^{4} \ln \left(F \right)^{3}+84 b^{3} c^{6} d^{3} x^{3} \ln \left(F \right)^{3}+36 b^{3} c^{7} d^{2} x^{2} \ln \left(F \right)^{3}+9 b^{3} c^{8} d x \ln \left(F \right)^{3}-3 b^{2} d^{6} x^{6} \ln \left(F \right)^{2}+b^{3} c^{9} \ln \left(F \right)^{3}-18 b^{2} c \,d^{5} x^{5} \ln \left(F \right)^{2}-45 b^{2} c^{2} d^{4} x^{4} \ln \left(F \right)^{2}-60 b^{2} c^{3} d^{3} x^{3} \ln \left(F \right)^{2}-45 b^{2} c^{4} d^{2} x^{2} \ln \left(F \right)^{2}-18 b^{2} c^{5} d x \ln \left(F \right)^{2}-3 b^{2} c^{6} \ln \left(F \right)^{2}+6 b \,d^{3} x^{3} \ln \left(F \right)+18 b c \,d^{2} x^{2} \ln \left(F \right)+18 b \,c^{2} d x \ln \left(F \right)+6 b \,c^{3} \ln \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 \ln \left(F \right)^{4}}"," ",0,"1/3*(b^3*d^9*x^9*ln(F)^3+9*b^3*c*d^8*x^8*ln(F)^3+36*b^3*c^2*d^7*x^7*ln(F)^3+84*b^3*c^3*d^6*x^6*ln(F)^3+126*b^3*c^4*d^5*x^5*ln(F)^3+126*b^3*c^5*d^4*x^4*ln(F)^3+84*b^3*c^6*d^3*x^3*ln(F)^3+36*b^3*c^7*d^2*x^2*ln(F)^3+9*b^3*c^8*d*x*ln(F)^3-3*b^2*d^6*x^6*ln(F)^2+b^3*c^9*ln(F)^3-18*b^2*c*d^5*x^5*ln(F)^2-45*b^2*c^2*d^4*x^4*ln(F)^2-60*b^2*c^3*d^3*x^3*ln(F)^2-45*b^2*c^4*d^2*x^2*ln(F)^2-18*b^2*c^5*d*x*ln(F)^2-3*b^2*c^6*ln(F)^2+6*b*d^3*x^3*ln(F)+18*b*c*d^2*x^2*ln(F)+18*b*c^2*d*x*ln(F)+6*b*c^3*ln(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)/ln(F)^4/b^4/d","B"
284,1,200,90,0.013000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c)^8,x)","\frac{\left(b^{2} d^{6} x^{6} \ln \left(F \right)^{2}+6 b^{2} c \,d^{5} x^{5} \ln \left(F \right)^{2}+15 b^{2} c^{2} d^{4} x^{4} \ln \left(F \right)^{2}+20 b^{2} c^{3} d^{3} x^{3} \ln \left(F \right)^{2}+15 b^{2} c^{4} d^{2} x^{2} \ln \left(F \right)^{2}+6 b^{2} c^{5} d x \ln \left(F \right)^{2}+b^{2} c^{6} \ln \left(F \right)^{2}-2 b \,d^{3} x^{3} \ln \left(F \right)-6 b c \,d^{2} x^{2} \ln \left(F \right)-6 b \,c^{2} d x \ln \left(F \right)-2 b \,c^{3} \ln \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 \ln \left(F \right)^{3}}"," ",0,"1/3*(b^2*d^6*x^6*ln(F)^2+6*b^2*c*d^5*x^5*ln(F)^2+15*b^2*c^2*d^4*x^4*ln(F)^2+20*b^2*c^3*d^3*x^3*ln(F)^2+15*b^2*c^4*d^2*x^2*ln(F)^2+6*b^2*c^5*d*x*ln(F)^2+b^2*c^6*ln(F)^2-2*b*d^3*x^3*ln(F)-6*b*c*d^2*x^2*ln(F)-6*b*c^2*d*x*ln(F)-2*b*c^3*ln(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)/ln(F)^3/b^3/d","B"
285,1,89,58,0.010000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c)^5,x)","\frac{\left(b \,d^{3} x^{3} \ln \left(F \right)+3 b c \,d^{2} x^{2} \ln \left(F \right)+3 b \,c^{2} d x \ln \left(F \right)+b \,c^{3} \ln \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 \ln \left(F \right)^{2}}"," ",0,"1/3*(b*d^3*x^3*ln(F)+3*b*c*d^2*x^2*ln(F)+3*b*c^2*d*x*ln(F)+b*c^3*ln(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)/ln(F)^2/b^2/d","A"
286,1,48,25,0.009000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c)^2,x)","\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 \ln \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/ln(F)","A"
287,0,0,20,0.093000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c),x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{d x +c}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c),x)","F"
288,0,0,49,0.094000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^4,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{4}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^4,x)","F"
289,0,0,81,0.100000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^7,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{7}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^7,x)","F"
290,0,0,113,0.135000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^10,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{10}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^10,x)","F"
291,0,0,29,0.178000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^13,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{13}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^13,x)","F"
292,0,0,29,0.239000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^16,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{16}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^16,x)","F"
293,0,0,43,0.088000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c)^3,x)","\int \left(d x +c \right)^{3} F^{a +\left(d x +c \right)^{3} b}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)*(d*x+c)^3,x)","F"
294,0,0,43,0.057000," ","int(F^(a+(d*x+c)^3*b)*(d*x+c),x)","\int \left(d x +c \right) F^{a +\left(d x +c \right)^{3} b}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)*(d*x+c),x)","F"
295,0,0,41,0.036000," ","int(F^(a+(d*x+c)^3*b),x)","\int F^{a +\left(d x +c \right)^{3} b}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b),x)","F"
296,0,0,43,0.096000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^2,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^2,x)","F"
297,0,0,43,0.092000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^3,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{3}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^3,x)","F"
298,0,0,43,0.095000," ","int(F^(a+(d*x+c)^3*b)/(d*x+c)^5,x)","\int \frac{F^{a +\left(d x +c \right)^{3} b}}{\left(d x +c \right)^{5}}\, dx"," ",0,"int(F^(a+(d*x+c)^3*b)/(d*x+c)^5,x)","F"
299,0,0,58,0.007000," ","int(f^(a+(d*x+c)^(1/2)*b),x)","\int f^{a +\sqrt{d x +c}\, b}\, dx"," ",0,"int(f^(a+(d*x+c)^(1/2)*b),x)","F"
300,0,0,90,0.006000," ","int(f^(a+b*(d*x+c)^(1/3)),x)","\int f^{a +\left(d x +c \right)^{\frac{1}{3}} b}\, dx"," ",0,"int(f^(a+b*(d*x+c)^(1/3)),x)","F"
301,0,0,50,0.100000," ","int(F^(a+b/(d*x+c))*(d*x+c)^m,x)","\int F^{a +\frac{b}{d x +c}} \left(d x +c \right)^{m}\, dx"," ",0,"int(F^(a+b/(d*x+c))*(d*x+c)^m,x)","F"
302,1,534,28,0.141000," ","int(F^(a+1/(d*x+c)*b)*(d*x+c)^4,x)","\frac{b^{5} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{d x +c}\right) \ln \left(F \right)^{5}}{120 d}+\frac{b^{4} x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{4}}{120}+\frac{b^{3} d \,x^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{120}+\frac{b^{2} d^{2} x^{3} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{60}+\frac{b \,d^{3} x^{4} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{20}+\frac{d^{4} x^{5} F^{a} F^{\frac{b}{d x +c}}}{5}+\frac{b^{4} c \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{4}}{120 d}+\frac{b^{3} c x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{60}+\frac{b^{2} c d \,x^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{20}+\frac{b c \,d^{2} x^{3} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{5}+c \,d^{3} x^{4} F^{a} F^{\frac{b}{d x +c}}+\frac{b^{3} c^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{120 d}+\frac{b^{2} c^{2} x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{20}+\frac{3 b \,c^{2} d \,x^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{10}+2 c^{2} d^{2} x^{3} F^{a} F^{\frac{b}{d x +c}}+\frac{b^{2} c^{3} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{60 d}+\frac{b \,c^{3} x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{5}+2 c^{3} d \,x^{2} F^{a} F^{\frac{b}{d x +c}}+\frac{b \,c^{4} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{20 d}+c^{4} x \,F^{a} F^{\frac{b}{d x +c}}+\frac{c^{5} F^{a} F^{\frac{b}{d x +c}}}{5 d}"," ",0,"1/5*d^4*F^a*F^(1/(d*x+c)*b)*x^5+d^3*F^a*F^(1/(d*x+c)*b)*c*x^4+2*d^2*F^a*F^(1/(d*x+c)*b)*c^2*x^3+2*d*F^a*F^(1/(d*x+c)*b)*c^3*x^2+F^a*F^(1/(d*x+c)*b)*c^4*x+1/5/d*F^a*F^(1/(d*x+c)*b)*c^5+1/20*d^3*b*ln(F)*F^a*F^(1/(d*x+c)*b)*x^4+1/5*d^2*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c*x^3+3/10*d*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c^2*x^2+1/5*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c^3*x+1/20/d*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c^4+1/60*d^2*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*x^3+1/20*d*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*c*x^2+1/20*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*c^2*x+1/60/d*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*c^3+1/120*d*b^3*ln(F)^3*F^a*F^(1/(d*x+c)*b)*x^2+1/60*b^3*ln(F)^3*F^a*F^(1/(d*x+c)*b)*c*x+1/120/d*b^3*ln(F)^3*F^a*F^(1/(d*x+c)*b)*c^2+1/120*b^4*ln(F)^4*F^a*F^(1/(d*x+c)*b)*x+1/120/d*b^4*ln(F)^4*F^a*F^(1/(d*x+c)*b)*c+1/120/d*b^5*ln(F)^5*F^a*Ei(1,-b*ln(F)/(d*x+c))","B"
303,1,368,28,0.134000," ","int(F^(a+1/(d*x+c)*b)*(d*x+c)^3,x)","\frac{b^{4} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{d x +c}\right) \ln \left(F \right)^{4}}{24 d}+\frac{b^{3} x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{24}+\frac{b^{2} d \,x^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{24}+\frac{b \,d^{2} x^{3} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{12}+\frac{d^{3} x^{4} F^{a} F^{\frac{b}{d x +c}}}{4}+\frac{b^{3} c \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{24 d}+\frac{b^{2} c x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{12}+\frac{b c d \,x^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{4}+c \,d^{2} x^{3} F^{a} F^{\frac{b}{d x +c}}+\frac{b^{2} c^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{24 d}+\frac{b \,c^{2} x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{4}+\frac{3 c^{2} d \,x^{2} F^{a} F^{\frac{b}{d x +c}}}{2}+\frac{b \,c^{3} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{12 d}+c^{3} x \,F^{a} F^{\frac{b}{d x +c}}+\frac{c^{4} F^{a} F^{\frac{b}{d x +c}}}{4 d}"," ",0,"1/4*d^3*F^a*F^(1/(d*x+c)*b)*x^4+d^2*F^a*F^(1/(d*x+c)*b)*c*x^3+3/2*d*F^a*F^(1/(d*x+c)*b)*c^2*x^2+F^a*F^(1/(d*x+c)*b)*c^3*x+1/4/d*F^a*F^(1/(d*x+c)*b)*c^4+1/12*d^2*b*ln(F)*F^a*F^(1/(d*x+c)*b)*x^3+1/4*d*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c*x^2+1/4*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c^2*x+1/12/d*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c^3+1/24*d*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*x^2+1/12*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*c*x+1/24/d*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*c^2+1/24*b^3*ln(F)^3*F^a*F^(1/(d*x+c)*b)*x+1/24/d*b^3*ln(F)^3*F^a*F^(1/(d*x+c)*b)*c+1/24/d*b^4*ln(F)^4*F^a*Ei(1,-1/(d*x+c)*b*ln(F))","B"
304,1,234,111,0.131000," ","int(F^(a+1/(d*x+c)*b)*(d*x+c)^2,x)","\frac{b^{3} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{d x +c}\right) \ln \left(F \right)^{3}}{6 d}+\frac{b^{2} x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{6}+\frac{b d \,x^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{6}+\frac{d^{2} x^{3} F^{a} F^{\frac{b}{d x +c}}}{3}+\frac{b^{2} c \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{6 d}+\frac{b c x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{3}+c d \,x^{2} F^{a} F^{\frac{b}{d x +c}}+\frac{b \,c^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{6 d}+c^{2} x \,F^{a} F^{\frac{b}{d x +c}}+\frac{c^{3} F^{a} F^{\frac{b}{d x +c}}}{3 d}"," ",0,"1/3*d^2*F^a*F^(1/(d*x+c)*b)*x^3+d*F^a*F^(1/(d*x+c)*b)*c*x^2+F^a*F^(1/(d*x+c)*b)*c^2*x+1/3/d*F^a*F^(1/(d*x+c)*b)*c^3+1/6*d*b*ln(F)*F^a*F^(1/(d*x+c)*b)*x^2+1/3*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c*x+1/6/d*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c^2+1/6*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*x+1/6/d*b^2*ln(F)^2*F^a*F^(1/(d*x+c)*b)*c+1/6/d*b^3*ln(F)^3*F^a*Ei(1,-1/(d*x+c)*b*ln(F))","B"
305,1,133,79,0.127000," ","int(F^(a+1/(d*x+c)*b)*(d*x+c),x)","\frac{b^{2} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{d x +c}\right) \ln \left(F \right)^{2}}{2 d}+\frac{b x \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{2}+\frac{d \,x^{2} F^{a} F^{\frac{b}{d x +c}}}{2}+\frac{b c \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{2 d}+c x \,F^{a} F^{\frac{b}{d x +c}}+\frac{c^{2} F^{a} F^{\frac{b}{d x +c}}}{2 d}"," ",0,"1/2*d*F^a*F^(1/(d*x+c)*b)*x^2+F^a*F^(1/(d*x+c)*b)*c*x+1/2/d*F^a*F^(1/(d*x+c)*b)*c^2+1/2*b*ln(F)*F^a*F^(1/(d*x+c)*b)*x+1/2/d*b*ln(F)*F^a*F^(1/(d*x+c)*b)*c+1/2/d*b^2*ln(F)^2*F^a*Ei(1,-1/(d*x+c)*b*ln(F))","A"
306,1,61,46,0.125000," ","int(F^(a+1/(d*x+c)*b),x)","\frac{b \,F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{d x +c}\right) \ln \left(F \right)}{d}+x \,F^{a} F^{\frac{b}{d x +c}}+\frac{c \,F^{a} F^{\frac{b}{d x +c}}}{d}"," ",0,"F^a*F^(1/(d*x+c)*b)*x+1/d*F^a*F^(1/(d*x+c)*b)*c+b/d*ln(F)*F^a*Ei(1,-1/(d*x+c)*b*ln(F))","A"
307,1,22,20,0.122000," ","int(F^(a+1/(d*x+c)*b)/(d*x+c),x)","\frac{F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{d x +c}\right)}{d}"," ",0,"1/d*F^a*Ei(1,-1/(d*x+c)*b*ln(F))","A"
308,1,26,25,0.005000," ","int(F^(a+1/(d*x+c)*b)/(d*x+c)^2,x)","-\frac{F^{a +\frac{b}{d x +c}}}{b d \ln \left(F \right)}"," ",0,"-F^(a+1/(d*x+c)*b)/b/d/ln(F)","A"
309,1,106,57,0.033000," ","int(F^(a+1/(d*x+c)*b)/(d*x+c)^3,x)","\frac{\frac{d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}-\frac{\left(b \ln \left(F \right)-2 c \right) x \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}-\frac{\left(b \ln \left(F \right)-c \right) c \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{2} d \ln \left(F \right)^{2}}}{\left(d x +c \right)^{2}}"," ",0,"(1/ln(F)^2/b^2*d*x^2*exp((a+1/(d*x+c)*b)*ln(F))-(b*ln(F)-2*c)/ln(F)^2/b^2*x*exp((a+1/(d*x+c)*b)*ln(F))-c*(b*ln(F)-c)/d/ln(F)^2/b^2*exp((a+1/(d*x+c)*b)*ln(F)))/(d*x+c)^2","A"
310,1,169,90,0.043000," ","int(F^(a+1/(d*x+c)*b)/(d*x+c)^4,x)","\frac{-\frac{2 d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}+\frac{2 \left(b \ln \left(F \right)-3 c \right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{\left(b^{2} \ln \left(F \right)^{2}-4 b c \ln \left(F \right)+6 c^{2}\right) x \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{\left(b^{2} \ln \left(F \right)^{2}-2 b c \ln \left(F \right)+2 c^{2}\right) c \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{3} d \ln \left(F \right)^{3}}}{\left(d x +c \right)^{3}}"," ",0,"(-2*d^2/ln(F)^3/b^3*x^3*exp((a+1/(d*x+c)*b)*ln(F))-(ln(F)^2*b^2-4*b*c*ln(F)+6*c^2)/ln(F)^3/b^3*x*exp((a+1/(d*x+c)*b)*ln(F))+2*d*(b*ln(F)-3*c)/ln(F)^3/b^3*x^2*exp((a+1/(d*x+c)*b)*ln(F))-(ln(F)^2*b^2-2*b*c*ln(F)+2*c^2)*c/b^3/ln(F)^3/d*exp((a+1/(d*x+c)*b)*ln(F)))/(d*x+c)^3","A"
311,1,243,122,0.052000," ","int(F^(a+1/(d*x+c)*b)/(d*x+c)^5,x)","\frac{\frac{6 d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{6 \left(b \ln \left(F \right)-4 c \right) d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{3 \left(b^{2} \ln \left(F \right)^{2}-6 b c \ln \left(F \right)+12 c^{2}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{\left(b^{3} \ln \left(F \right)^{3}-6 b^{2} c \ln \left(F \right)^{2}+18 b \,c^{2} \ln \left(F \right)-24 c^{3}\right) x \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{\left(b^{3} \ln \left(F \right)^{3}-3 b^{2} c \ln \left(F \right)^{2}+6 b \,c^{2} \ln \left(F \right)-6 c^{3}\right) c \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{4} d \ln \left(F \right)^{4}}}{\left(d x +c \right)^{4}}"," ",0,"(-(ln(F)^3*b^3-6*ln(F)^2*b^2*c+18*b*c^2*ln(F)-24*c^3)/ln(F)^4/b^4*x*exp((a+1/(d*x+c)*b)*ln(F))+6/ln(F)^4/b^4*d^3*x^4*exp((a+1/(d*x+c)*b)*ln(F))+3*d*(b^2*ln(F)^2-6*b*c*ln(F)+12*c^2)/ln(F)^4/b^4*x^2*exp((a+1/(d*x+c)*b)*ln(F))-6*d^2*(b*ln(F)-4*c)/ln(F)^4/b^4*x^3*exp((a+1/(d*x+c)*b)*ln(F))-(ln(F)^3*b^3-3*ln(F)^2*b^2*c+6*b*c^2*ln(F)-6*c^3)*c/b^4/ln(F)^4/d*exp((a+1/(d*x+c)*b)*ln(F)))/(d*x+c)^4","A"
312,1,329,92,0.061000," ","int(F^(a+1/(d*x+c)*b)/(d*x+c)^6,x)","\frac{-\frac{24 d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{24 \left(b \ln \left(F \right)-5 c \right) d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{12 \left(b^{2} \ln \left(F \right)^{2}-8 b c \ln \left(F \right)+20 c^{2}\right) d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{4 \left(b^{3} \ln \left(F \right)^{3}-9 b^{2} c \ln \left(F \right)^{2}+36 b \,c^{2} \ln \left(F \right)-60 c^{3}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{\left(b^{4} \ln \left(F \right)^{4}-8 b^{3} c \ln \left(F \right)^{3}+36 b^{2} c^{2} \ln \left(F \right)^{2}-96 b \,c^{3} \ln \left(F \right)+120 c^{4}\right) x \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{\left(b^{4} \ln \left(F \right)^{4}-4 b^{3} c \ln \left(F \right)^{3}+12 b^{2} c^{2} \ln \left(F \right)^{2}-24 b \,c^{3} \ln \left(F \right)+24 c^{4}\right) c \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{5} d \ln \left(F \right)^{5}}}{\left(d x +c \right)^{5}}"," ",0,"(-24*d^4/ln(F)^5/b^5*x^5*exp((a+1/(d*x+c)*b)*ln(F))-(b^4*ln(F)^4-8*ln(F)^3*b^3*c+36*ln(F)^2*b^2*c^2-96*b*c^3*ln(F)+120*c^4)/ln(F)^5/b^5*x*exp((a+1/(d*x+c)*b)*ln(F))+4*d*(b^3*ln(F)^3-9*b^2*c*ln(F)^2+36*b*c^2*ln(F)-60*c^3)/ln(F)^5/b^5*x^2*exp((a+1/(d*x+c)*b)*ln(F))-12*d^2*(b^2*ln(F)^2-8*b*c*ln(F)+20*c^2)/ln(F)^5/b^5*x^3*exp((a+1/(d*x+c)*b)*ln(F))+24*d^3*(b*ln(F)-5*c)/ln(F)^5/b^5*x^4*exp((a+1/(d*x+c)*b)*ln(F))-(b^4*ln(F)^4-4*ln(F)^3*b^3*c+12*ln(F)^2*b^2*c^2-24*b*c^3*ln(F)+24*c^4)*c/b^5/ln(F)^5/d*exp((a+1/(d*x+c)*b)*ln(F)))/(d*x+c)^5","B"
313,1,427,108,0.081000," ","int(F^(a+1/(d*x+c)*b)/(d*x+c)^7,x)","\frac{\frac{120 d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{120 \left(b \ln \left(F \right)-6 c \right) d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}+\frac{60 \left(b^{2} \ln \left(F \right)^{2}-10 b c \ln \left(F \right)+30 c^{2}\right) d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{20 \left(b^{3} \ln \left(F \right)^{3}-12 b^{2} c \ln \left(F \right)^{2}+60 b \,c^{2} \ln \left(F \right)-120 c^{3}\right) d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}+\frac{5 \left(b^{4} \ln \left(F \right)^{4}-12 b^{3} c \ln \left(F \right)^{3}+72 b^{2} c^{2} \ln \left(F \right)^{2}-240 b \,c^{3} \ln \left(F \right)+360 c^{4}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{\left(b^{5} \ln \left(F \right)^{5}-10 b^{4} c \ln \left(F \right)^{4}+60 b^{3} c^{2} \ln \left(F \right)^{3}-240 b^{2} c^{3} \ln \left(F \right)^{2}+600 b \,c^{4} \ln \left(F \right)-720 c^{5}\right) x \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{\left(b^{5} \ln \left(F \right)^{5}-5 b^{4} c \ln \left(F \right)^{4}+20 b^{3} c^{2} \ln \left(F \right)^{3}-60 b^{2} c^{3} \ln \left(F \right)^{2}+120 b \,c^{4} \ln \left(F \right)-120 c^{5}\right) c \,{\mathrm e}^{\left(a +\frac{b}{d x +c}\right) \ln \left(F \right)}}{b^{6} d \ln \left(F \right)^{6}}}{\left(d x +c \right)^{6}}"," ",0,"(120*d^5/ln(F)^6/b^6*x^6*exp((a+1/(d*x+c)*b)*ln(F))-(b^5*ln(F)^5-10*ln(F)^4*b^4*c+60*ln(F)^3*b^3*c^2-240*ln(F)^2*b^2*c^3+600*ln(F)*b*c^4-720*c^5)/ln(F)^6/b^6*x*exp((a+1/(d*x+c)*b)*ln(F))+5*d*(b^4*ln(F)^4-12*b^3*c*ln(F)^3+72*b^2*c^2*ln(F)^2-240*b*c^3*ln(F)+360*c^4)/b^6/ln(F)^6*x^2*exp((a+1/(d*x+c)*b)*ln(F))-20*d^2*(b^3*ln(F)^3-12*b^2*c*ln(F)^2+60*b*c^2*ln(F)-120*c^3)/ln(F)^6/b^6*x^3*exp((a+1/(d*x+c)*b)*ln(F))+60*d^3*(b^2*ln(F)^2-10*b*c*ln(F)+30*c^2)/ln(F)^6/b^6*x^4*exp((a+1/(d*x+c)*b)*ln(F))-120*d^4*(b*ln(F)-6*c)/ln(F)^6/b^6*x^5*exp((a+1/(d*x+c)*b)*ln(F))-(b^5*ln(F)^5-5*ln(F)^4*b^4*c+20*ln(F)^3*b^3*c^2-60*ln(F)^2*b^2*c^3+120*ln(F)*b*c^4-120*c^5)*c/b^6/ln(F)^6/d*exp((a+1/(d*x+c)*b)*ln(F)))/(d*x+c)^6","B"
314,0,0,53,0.110000," ","int(F^(a+b/(d*x+c)^2)*(d*x+c)^m,x)","\int F^{a +\frac{b}{\left(d x +c \right)^{2}}} \left(d x +c \right)^{m}\, dx"," ",0,"int(F^(a+b/(d*x+c)^2)*(d*x+c)^m,x)","F"
315,1,961,29,0.130000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^9,x)","\frac{d^{9} x^{10} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{10}+c \,d^{8} x^{9} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b \,d^{7} x^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{40}+\frac{9 c^{2} d^{7} x^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+\frac{b c \,d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{5}+12 c^{3} d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{2} d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{120}+\frac{7 b \,c^{2} d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{10}+21 c^{4} d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{2} c \,d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{20}+\frac{7 b \,c^{3} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{5}+\frac{126 c^{5} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{5}+\frac{b^{3} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{240}+\frac{b^{2} c^{2} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{8}+\frac{7 b \,c^{4} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{4}+21 c^{6} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{3} c \,d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{60}+\frac{b^{2} c^{3} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{6}+\frac{7 b \,c^{5} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{5}+12 c^{7} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{4} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{240}+\frac{b^{3} c^{2} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{40}+\frac{b^{2} c^{4} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{8}+\frac{7 b \,c^{6} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{10}+\frac{9 c^{8} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+\frac{b^{4} c x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{120}+\frac{b^{3} c^{3} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{60}+\frac{b^{2} c^{5} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{20}+\frac{b \,c^{7} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{5}+c^{9} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{5} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)^{5}}{240 d}+\frac{b^{4} c^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{240 d}+\frac{b^{3} c^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{240 d}+\frac{b^{2} c^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{120 d}+\frac{b \,c^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{40 d}+\frac{c^{10} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{10 d}"," ",0,"1/120*F^a*d^5*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*x^6+1/240*F^a*d^3*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*x^4+1/240*F^a*d*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*x^2+1/120*F^a*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*c*x+1/20*F^a*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^5*x+1/60*F^a*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^3*x+1/5*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c^7*x+1/40*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^8+1/120*F^a/d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^6+1/240*F^a/d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^4+1/240*F^a/d*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*c^2+1/40*F^a*d^7*b*ln(F)*F^(1/(d*x+c)^2*b)*x^8+1/40*F^a*d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^2*x^2+7/10*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^6*x^2+1/5*F^a*d^6*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x^7+7/10*F^a*d^5*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2*x^6+7/5*F^a*d^4*b*ln(F)*F^(1/(d*x+c)^2*b)*c^3*x^5+7/4*F^a*d^3*b*ln(F)*F^(1/(d*x+c)^2*b)*c^4*x^4+7/5*F^a*d^2*b*ln(F)*F^(1/(d*x+c)^2*b)*c^5*x^3+1/20*F^a*d^4*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c*x^5+1/8*F^a*d^3*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^2*x^4+1/6*F^a*d^2*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^3*x^3+1/8*F^a*d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^4*x^2+1/60*F^a*d^2*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c*x^3+1/10*F^a/d*F^(1/(d*x+c)^2*b)*c^10+1/10*F^a*d^9*F^(1/(d*x+c)^2*b)*x^10+F^a*F^(1/(d*x+c)^2*b)*c^9*x+F^a*d^8*F^(1/(d*x+c)^2*b)*c*x^9+9/2*F^a*d^7*F^(1/(d*x+c)^2*b)*c^2*x^8+12*F^a*d^6*F^(1/(d*x+c)^2*b)*c^3*x^7+21*F^a*d^5*F^(1/(d*x+c)^2*b)*c^4*x^6+126/5*F^a*d^4*F^(1/(d*x+c)^2*b)*c^5*x^5+21*F^a*d^3*F^(1/(d*x+c)^2*b)*c^6*x^4+12*F^a*d^2*F^(1/(d*x+c)^2*b)*c^7*x^3+9/2*F^a*d*F^(1/(d*x+c)^2*b)*c^8*x^2+1/240*F^a/d*b^5*ln(F)^5*Ei(1,-b*ln(F)/(d*x+c)^2)","B"
316,1,646,29,0.097000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^7,x)","\frac{d^{7} x^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{8}+c \,d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b \,d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{24}+\frac{7 c^{2} d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+\frac{b c \,d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{4}+7 c^{3} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{2} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{48}+\frac{5 b \,c^{2} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{8}+\frac{35 c^{4} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4}+\frac{b^{2} c \,d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{12}+\frac{5 b \,c^{3} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{6}+7 c^{5} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{3} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{48}+\frac{b^{2} c^{2} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{8}+\frac{5 b \,c^{4} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{8}+\frac{7 c^{6} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+\frac{b^{3} c x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{24}+\frac{b^{2} c^{3} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{12}+\frac{b \,c^{5} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{4}+c^{7} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{4} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)^{4}}{48 d}+\frac{b^{3} c^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{48 d}+\frac{b^{2} c^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{48 d}+\frac{b \,c^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{24 d}+\frac{c^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{8 d}"," ",0,"1/48*F^a/d*b^4*ln(F)^4*Ei(1,-1/(d*x+c)^2*b*ln(F))+F^a*d^6*F^(1/(d*x+c)^2*b)*c*x^7+7/2*F^a*d^5*F^(1/(d*x+c)^2*b)*c^2*x^6+7*F^a*d^4*F^(1/(d*x+c)^2*b)*c^3*x^5+35/4*F^a*d^3*F^(1/(d*x+c)^2*b)*c^4*x^4+7*F^a*d^2*F^(1/(d*x+c)^2*b)*c^5*x^3+7/2*F^a*d*F^(1/(d*x+c)^2*b)*c^6*x^2+1/48*F^a/d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^2+1/12*F^a*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^3*x+1/24*F^a*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c*x+1/4*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c^5*x+1/24*F^a*d^5*b*ln(F)*F^(1/(d*x+c)^2*b)*x^6+1/48*F^a*d^3*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*x^4+1/48*F^a*d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*x^2+1/24*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^6+1/48*F^a/d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^4+F^a*F^(1/(d*x+c)^2*b)*c^7*x+1/8*F^a/d*F^(1/(d*x+c)^2*b)*c^8+1/8*F^a*d^7*F^(1/(d*x+c)^2*b)*x^8+1/4*F^a*d^4*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x^5+5/8*F^a*d^3*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2*x^4+5/6*F^a*d^2*b*ln(F)*F^(1/(d*x+c)^2*b)*c^3*x^3+5/8*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^4*x^2+1/12*F^a*d^2*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c*x^3+1/8*F^a*d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^2*x^2","B"
317,1,395,113,0.080000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^5,x)","\frac{d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{6}+c \,d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b \,d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{12}+\frac{5 c^{2} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+\frac{b c \,d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{3}+\frac{10 c^{3} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{3}+\frac{b^{2} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{12}+\frac{b \,c^{2} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{2}+\frac{5 c^{4} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+\frac{b^{2} c x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{6}+\frac{b \,c^{3} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{3}+c^{5} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{3} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)^{3}}{12 d}+\frac{b^{2} c^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{12 d}+\frac{b \,c^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{12 d}+\frac{c^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{6 d}"," ",0,"1/6*F^a*d^5*F^(1/(d*x+c)^2*b)*x^6+F^a*d^4*F^(1/(d*x+c)^2*b)*c*x^5+5/2*F^a*d^3*F^(1/(d*x+c)^2*b)*c^2*x^4+10/3*F^a*d^2*F^(1/(d*x+c)^2*b)*c^3*x^3+5/2*F^a*d*F^(1/(d*x+c)^2*b)*c^4*x^2+F^a*F^(1/(d*x+c)^2*b)*c^5*x+1/6*F^a/d*F^(1/(d*x+c)^2*b)*c^6+1/12*F^a*d^3*b*ln(F)*F^(1/(d*x+c)^2*b)*x^4+1/3*F^a*d^2*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x^3+1/2*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2*x^2+1/3*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c^3*x+1/12*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^4+1/12*F^a*d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*x^2+1/6*F^a*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c*x+1/12*F^a/d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^2+1/12*F^a/d*b^3*ln(F)^3*Ei(1,-1/(d*x+c)^2*b*ln(F))","B"
318,1,208,81,0.069000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^3,x)","\frac{d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4}+c \,d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{4}+\frac{3 c^{2} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+\frac{b c x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{2}+c^{3} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b^{2} F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)^{2}}{4 d}+\frac{b \,c^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{4 d}+\frac{c^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4 d}"," ",0,"1/4*F^a*d^3*F^(1/(d*x+c)^2*b)*x^4+F^a*d^2*F^(1/(d*x+c)^2*b)*c*x^3+3/2*F^a*d*F^(1/(d*x+c)^2*b)*c^2*x^2+F^a*F^(1/(d*x+c)^2*b)*c^3*x+1/4*F^a/d*F^(1/(d*x+c)^2*b)*c^4+1/4*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*x^2+1/2*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x+1/4*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2+1/4*F^a/d*b^2*ln(F)^2*Ei(1,-1/(d*x+c)^2*b*ln(F))","B"
319,1,86,49,0.061000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c),x)","\frac{d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2}+c x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{b \,F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}{2 d}+\frac{c^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2 d}"," ",0,"1/2*d*F^a*F^(1/(d*x+c)^2*b)*x^2+F^a*F^(1/(d*x+c)^2*b)*c*x+1/2/d*F^a*F^(1/(d*x+c)^2*b)*c^2+1/2/d*F^a*b*ln(F)*Ei(1,-1/(d*x+c)^2*b*ln(F))","A"
320,1,23,20,0.056000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c),x)","\frac{F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{\left(d x +c \right)^{2}}\right)}{2 d}"," ",0,"1/2/d*F^a*Ei(1,-1/(d*x+c)^2*b*ln(F))","A"
321,1,26,25,0.004000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^3,x)","-\frac{F^{a +\frac{b}{\left(d x +c \right)^{2}}}}{2 b d \ln \left(F \right)}"," ",0,"-1/2*F^(a+1/(d*x+c)^2*b)/b/d/ln(F)","A"
322,1,185,58,0.054000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^5,x)","\frac{\frac{d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{2} \ln \left(F \right)^{2}}+\frac{2 c \,d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}-\frac{\left(b \ln \left(F \right)-6 c^{2}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{2} \ln \left(F \right)^{2}}-\frac{\left(b \ln \left(F \right)-2 c^{2}\right) c x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}-\frac{\left(b \ln \left(F \right)-c^{2}\right) c^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{2} d \ln \left(F \right)^{2}}}{\left(d x +c \right)^{4}}"," ",0,"(1/2/b^2/ln(F)^2*d^3*x^4*exp((a+1/(d*x+c)^2*b)*ln(F))-c*(b*ln(F)-2*c^2)/b^2/ln(F)^2*x*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*c^2*(b*ln(F)-c^2)/d/b^2/ln(F)^2*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*d*(b*ln(F)-6*c^2)/b^2/ln(F)^2*x^2*exp((a+1/(d*x+c)^2*b)*ln(F))+2*d^2*c/b^2/ln(F)^2*x^3*exp((a+1/(d*x+c)^2*b)*ln(F)))/(d*x+c)^4","B"
323,1,301,89,0.084000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^7,x)","\frac{-\frac{d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{6 c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}+\frac{\left(b \ln \left(F \right)-15 c^{2}\right) d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}+\frac{4 \left(b \ln \left(F \right)-5 c^{2}\right) c \,d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{\left(b^{2} \ln \left(F \right)^{2}-12 b \,c^{2} \ln \left(F \right)+30 c^{4}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{3} \ln \left(F \right)^{3}}-\frac{\left(b^{2} \ln \left(F \right)^{2}-4 b \,c^{2} \ln \left(F \right)+6 c^{4}\right) c x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{\left(b^{2} \ln \left(F \right)^{2}-2 b \,c^{2} \ln \left(F \right)+2 c^{4}\right) c^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{3} d \ln \left(F \right)^{3}}}{\left(d x +c \right)^{6}}"," ",0,"(d^3*(b*ln(F)-15*c^2)/ln(F)^3/b^3*x^4*exp((a+1/(d*x+c)^2*b)*ln(F))-d^5/ln(F)^3/b^3*x^6*exp((a+1/(d*x+c)^2*b)*ln(F))-c*(b^2*ln(F)^2-4*b*c^2*ln(F)+6*c^4)/b^3/ln(F)^3*x*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*d*(b^2*ln(F)^2-12*b*c^2*ln(F)+30*c^4)/ln(F)^3/b^3*x^2*exp((a+1/(d*x+c)^2*b)*ln(F))-6*d^4*c/ln(F)^3/b^3*x^5*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*(b^2*ln(F)^2-2*b*c^2*ln(F)+2*c^4)*c^2/b^3/ln(F)^3/d*exp((a+1/(d*x+c)^2*b)*ln(F))+4*c*d^2*(b*ln(F)-5*c^2)/ln(F)^3/b^3*x^3*exp((a+1/(d*x+c)^2*b)*ln(F)))/(d*x+c)^6","B"
324,1,444,122,0.119000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^9,x)","\frac{\frac{3 d^{7} x^{8} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{24 c \,d^{6} x^{7} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{3 \left(b \ln \left(F \right)-28 c^{2}\right) d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{6 \left(3 b \ln \left(F \right)-28 c^{2}\right) c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{3 \left(b^{2} \ln \left(F \right)^{2}-30 b \,c^{2} \ln \left(F \right)+140 c^{4}\right) d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{4} \ln \left(F \right)^{4}}+\frac{6 \left(b^{2} \ln \left(F \right)^{2}-10 b \,c^{2} \ln \left(F \right)+28 c^{4}\right) c \,d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{\left(b^{3} \ln \left(F \right)^{3}-18 b^{2} c^{2} \ln \left(F \right)^{2}+90 b \,c^{4} \ln \left(F \right)-168 c^{6}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{4} \ln \left(F \right)^{4}}-\frac{\left(b^{3} \ln \left(F \right)^{3}-6 b^{2} c^{2} \ln \left(F \right)^{2}+18 b \,c^{4} \ln \left(F \right)-24 c^{6}\right) c x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{\left(b^{3} \ln \left(F \right)^{3}-3 b^{2} c^{2} \ln \left(F \right)^{2}+6 b \,c^{4} \ln \left(F \right)-6 c^{6}\right) c^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{4} d \ln \left(F \right)^{4}}}{\left(d x +c \right)^{8}}"," ",0,"(3*d^7/ln(F)^4/b^4*x^8*exp((a+1/(d*x+c)^2*b)*ln(F))-c*(b^3*ln(F)^3-6*b^2*c^2*ln(F)^2+18*b*c^4*ln(F)-24*c^6)/b^4/ln(F)^4*x*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*d*(b^3*ln(F)^3-18*b^2*c^2*ln(F)^2+90*b*c^4*ln(F)-168*c^6)/ln(F)^4/b^4*x^2*exp((a+1/(d*x+c)^2*b)*ln(F))+3/2*d^3*(b^2*ln(F)^2-30*b*c^2*ln(F)+140*c^4)/ln(F)^4/b^4*x^4*exp((a+1/(d*x+c)^2*b)*ln(F))-3*d^5*(b*ln(F)-28*c^2)/ln(F)^4/b^4*x^6*exp((a+1/(d*x+c)^2*b)*ln(F))+24*d^6*c/ln(F)^4/b^4*x^7*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*(b^3*ln(F)^3-3*b^2*c^2*ln(F)^2+6*b*c^4*ln(F)-6*c^6)*c^2/b^4/ln(F)^4/d*exp((a+1/(d*x+c)^2*b)*ln(F))+6*c*d^2*(b^2*ln(F)^2-10*b*c^2*ln(F)+28*c^4)/ln(F)^4/b^4*x^3*exp((a+1/(d*x+c)^2*b)*ln(F))-6*c*d^4*(3*b*ln(F)-28*c^2)/ln(F)^4/b^4*x^5*exp((a+1/(d*x+c)^2*b)*ln(F)))/(d*x+c)^8","B"
325,1,609,94,0.160000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^11,x)","\frac{-\frac{12 d^{9} x^{10} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{120 c \,d^{8} x^{9} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{12 \left(b \ln \left(F \right)-45 c^{2}\right) d^{7} x^{8} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{96 \left(b \ln \left(F \right)-15 c^{2}\right) c \,d^{6} x^{7} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{6 \left(b^{2} \ln \left(F \right)^{2}-56 b \,c^{2} \ln \left(F \right)+420 c^{4}\right) d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{12 \left(3 b^{2} \ln \left(F \right)^{2}-56 b \,c^{2} \ln \left(F \right)+252 c^{4}\right) c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{2 \left(b^{3} \ln \left(F \right)^{3}-45 b^{2} c^{2} \ln \left(F \right)^{2}+420 b \,c^{4} \ln \left(F \right)-1260 c^{6}\right) d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{8 \left(b^{3} \ln \left(F \right)^{3}-15 b^{2} c^{2} \ln \left(F \right)^{2}+84 b \,c^{4} \ln \left(F \right)-180 c^{6}\right) c \,d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{\left(b^{4} \ln \left(F \right)^{4}-24 b^{3} c^{2} \ln \left(F \right)^{3}+180 b^{2} c^{4} \ln \left(F \right)^{2}-672 b \,c^{6} \ln \left(F \right)+1080 c^{8}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{5} \ln \left(F \right)^{5}}-\frac{\left(b^{4} \ln \left(F \right)^{4}-8 b^{3} c^{2} \ln \left(F \right)^{3}+36 b^{2} c^{4} \ln \left(F \right)^{2}-96 b \,c^{6} \ln \left(F \right)+120 c^{8}\right) c x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{\left(b^{4} \ln \left(F \right)^{4}-4 b^{3} c^{2} \ln \left(F \right)^{3}+12 b^{2} c^{4} \ln \left(F \right)^{2}-24 b \,c^{6} \ln \left(F \right)+24 c^{8}\right) c^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{5} d \ln \left(F \right)^{5}}}{\left(d x +c \right)^{10}}"," ",0,"(-12*d^9/ln(F)^5/b^5*x^10*exp((a+1/(d*x+c)^2*b)*ln(F))-c*(b^4*ln(F)^4-8*b^3*c^2*ln(F)^3+36*b^2*c^4*ln(F)^2-96*ln(F)*b*c^6+120*c^8)/b^5/ln(F)^5*x*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*d*(b^4*ln(F)^4-24*b^3*c^2*ln(F)^3+180*b^2*c^4*ln(F)^2-672*ln(F)*b*c^6+1080*c^8)/ln(F)^5/b^5*x^2*exp((a+1/(d*x+c)^2*b)*ln(F))+2*d^3*(b^3*ln(F)^3-45*b^2*c^2*ln(F)^2+420*b*c^4*ln(F)-1260*c^6)/ln(F)^5/b^5*x^4*exp((a+1/(d*x+c)^2*b)*ln(F))-6*d^5*(b^2*ln(F)^2-56*b*c^2*ln(F)+420*c^4)/ln(F)^5/b^5*x^6*exp((a+1/(d*x+c)^2*b)*ln(F))+12*d^7*(b*ln(F)-45*c^2)/ln(F)^5/b^5*x^8*exp((a+1/(d*x+c)^2*b)*ln(F))-120*d^8*c/ln(F)^5/b^5*x^9*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*(b^4*ln(F)^4-4*b^3*c^2*ln(F)^3+12*b^2*c^4*ln(F)^2-24*ln(F)*b*c^6+24*c^8)*c^2/b^5/ln(F)^5/d*exp((a+1/(d*x+c)^2*b)*ln(F))+8*c*d^2*(b^3*ln(F)^3-15*b^2*c^2*ln(F)^2+84*b*c^4*ln(F)-180*c^6)/ln(F)^5/b^5*x^3*exp((a+1/(d*x+c)^2*b)*ln(F))-12*c*d^4*(3*b^2*ln(F)^2-56*b*c^2*ln(F)+252*c^4)/ln(F)^5/b^5*x^5*exp((a+1/(d*x+c)^2*b)*ln(F))+96*c*d^6*(b*ln(F)-15*c^2)/ln(F)^5/b^5*x^7*exp((a+1/(d*x+c)^2*b)*ln(F)))/(d*x+c)^10","B"
326,1,797,111,0.214000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^13,x)","\frac{\frac{60 d^{11} x^{12} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}+\frac{720 c \,d^{10} x^{11} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{60 \left(b \ln \left(F \right)-66 c^{2}\right) d^{9} x^{10} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{600 \left(b \ln \left(F \right)-22 c^{2}\right) c \,d^{8} x^{9} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}+\frac{30 \left(b^{2} \ln \left(F \right)^{2}-90 b \,c^{2} \ln \left(F \right)+990 c^{4}\right) d^{7} x^{8} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}+\frac{240 \left(b^{2} \ln \left(F \right)^{2}-30 b \,c^{2} \ln \left(F \right)+198 c^{4}\right) c \,d^{6} x^{7} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{10 \left(b^{3} \ln \left(F \right)^{3}-84 b^{2} c^{2} \ln \left(F \right)^{2}+1260 b \,c^{4} \ln \left(F \right)-5544 c^{6}\right) d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{60 \left(b^{3} \ln \left(F \right)^{3}-28 b^{2} c^{2} \ln \left(F \right)^{2}+252 b \,c^{4} \ln \left(F \right)-792 c^{6}\right) c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}+\frac{5 \left(b^{4} \ln \left(F \right)^{4}-60 b^{3} c^{2} \ln \left(F \right)^{3}+840 b^{2} c^{4} \ln \left(F \right)^{2}-5040 b \,c^{6} \ln \left(F \right)+11880 c^{8}\right) d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{6} \ln \left(F \right)^{6}}+\frac{10 \left(b^{4} \ln \left(F \right)^{4}-20 b^{3} c^{2} \ln \left(F \right)^{3}+168 b^{2} c^{4} \ln \left(F \right)^{2}-720 b \,c^{6} \ln \left(F \right)+1320 c^{8}\right) c \,d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{\left(b^{5} \ln \left(F \right)^{5}-30 b^{4} c^{2} \ln \left(F \right)^{4}+300 b^{3} c^{4} \ln \left(F \right)^{3}-1680 b^{2} c^{6} \ln \left(F \right)^{2}+5400 b \,c^{8} \ln \left(F \right)-7920 c^{10}\right) d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{6} \ln \left(F \right)^{6}}-\frac{\left(b^{5} \ln \left(F \right)^{5}-10 b^{4} c^{2} \ln \left(F \right)^{4}+60 b^{3} c^{4} \ln \left(F \right)^{3}-240 b^{2} c^{6} \ln \left(F \right)^{2}+600 b \,c^{8} \ln \left(F \right)-720 c^{10}\right) c x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{b^{6} \ln \left(F \right)^{6}}-\frac{\left(b^{5} \ln \left(F \right)^{5}-5 b^{4} c^{2} \ln \left(F \right)^{4}+20 b^{3} c^{4} \ln \left(F \right)^{3}-60 b^{2} c^{6} \ln \left(F \right)^{2}+120 b \,c^{8} \ln \left(F \right)-120 c^{10}\right) c^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{2}}\right) \ln \left(F \right)}}{2 b^{6} d \ln \left(F \right)^{6}}}{\left(d x +c \right)^{12}}"," ",0,"(10*c*d^2*(b^4*ln(F)^4-20*b^3*c^2*ln(F)^3+168*b^2*c^4*ln(F)^2-720*b*c^6*ln(F)+1320*c^8)/ln(F)^6/b^6*x^3*exp((a+1/(d*x+c)^2*b)*ln(F))-60*c*d^4*(b^3*ln(F)^3-28*b^2*c^2*ln(F)^2+252*b*c^4*ln(F)-792*c^6)/ln(F)^6/b^6*x^5*exp((a+1/(d*x+c)^2*b)*ln(F))+240*c*d^6*(b^2*ln(F)^2-30*b*c^2*ln(F)+198*c^4)/ln(F)^6/b^6*x^7*exp((a+1/(d*x+c)^2*b)*ln(F))-600*c*d^8*(b*ln(F)-22*c^2)/ln(F)^6/b^6*x^9*exp((a+1/(d*x+c)^2*b)*ln(F))+60*d^11/ln(F)^6/b^6*x^12*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*(b^5*ln(F)^5-5*ln(F)^4*b^4*c^2+20*ln(F)^3*b^3*c^4-60*b^2*c^6*ln(F)^2+120*ln(F)*b*c^8-120*c^10)*c^2/b^6/ln(F)^6/d*exp((a+1/(d*x+c)^2*b)*ln(F))-c*(b^5*ln(F)^5-10*ln(F)^4*b^4*c^2+60*ln(F)^3*b^3*c^4-240*b^2*c^6*ln(F)^2+600*ln(F)*b*c^8-720*c^10)/b^6/ln(F)^6*x*exp((a+1/(d*x+c)^2*b)*ln(F))-1/2*d*(b^5*ln(F)^5-30*ln(F)^4*b^4*c^2+300*ln(F)^3*b^3*c^4-1680*b^2*c^6*ln(F)^2+5400*ln(F)*b*c^8-7920*c^10)/ln(F)^6/b^6*x^2*exp((a+1/(d*x+c)^2*b)*ln(F))+5/2*d^3*(b^4*ln(F)^4-60*b^3*c^2*ln(F)^3+840*b^2*c^4*ln(F)^2-5040*b*c^6*ln(F)+11880*c^8)/ln(F)^6/b^6*x^4*exp((a+1/(d*x+c)^2*b)*ln(F))-10*d^5*(b^3*ln(F)^3-84*b^2*c^2*ln(F)^2+1260*b*c^4*ln(F)-5544*c^6)/ln(F)^6/b^6*x^6*exp((a+1/(d*x+c)^2*b)*ln(F))+30*d^7*(b^2*ln(F)^2-90*b*c^2*ln(F)+990*c^4)/ln(F)^6/b^6*x^8*exp((a+1/(d*x+c)^2*b)*ln(F))-60*d^9*(b*ln(F)-66*c^2)/ln(F)^6/b^6*x^10*exp((a+1/(d*x+c)^2*b)*ln(F))+720*d^10*c/ln(F)^6/b^6*x^11*exp((a+1/(d*x+c)^2*b)*ln(F)))/(d*x+c)^12","B"
327,1,1173,218,0.180000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^10,x)","\frac{d^{10} x^{11} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{11}+c \,d^{9} x^{10} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b \,d^{8} x^{9} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{99}+5 c^{2} d^{8} x^{9} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b c \,d^{7} x^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{11}+15 c^{3} d^{7} x^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{4 b^{2} d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{693}+\frac{8 b \,c^{2} d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{11}+30 c^{4} d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{4 b^{2} c \,d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{99}+\frac{56 b \,c^{3} d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{33}+42 c^{5} d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{8 b^{3} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{3465}+\frac{4 b^{2} c^{2} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{33}+\frac{28 b \,c^{4} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{11}+42 c^{6} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{8 b^{3} c \,d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{693}+\frac{20 b^{2} c^{3} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{99}+\frac{28 b \,c^{5} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{11}+30 c^{7} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{16 b^{4} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{10395}+\frac{16 b^{3} c^{2} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{693}+\frac{20 b^{2} c^{4} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{99}+\frac{56 b \,c^{6} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{33}+15 c^{8} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{16 b^{4} c d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{3465}+\frac{16 b^{3} c^{3} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{693}+\frac{4 b^{2} c^{5} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{33}+\frac{8 b \,c^{7} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{11}+5 c^{9} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}-\frac{32 \sqrt{\pi}\, b^{6} F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right) \ln \left(F \right)^{6}}{10395 \sqrt{-b \ln \left(F \right)}\, d}+\frac{32 b^{5} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{5}}{10395}+\frac{16 b^{4} c^{2} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{3465}+\frac{8 b^{3} c^{4} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{693}+\frac{4 b^{2} c^{6} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{99}+\frac{2 b \,c^{8} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{11}+c^{10} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{32 b^{5} c \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{5}}{10395 d}+\frac{16 b^{4} c^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{10395 d}+\frac{8 b^{3} c^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{3465 d}+\frac{4 b^{2} c^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{693 d}+\frac{2 b \,c^{9} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{99 d}+\frac{c^{11} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{11 d}"," ",0,"F^a*F^(1/(d*x+c)^2*b)*c^10*x+1/11*F^a*d^10*F^(1/(d*x+c)^2*b)*x^11+1/11*F^a/d*F^(1/(d*x+c)^2*b)*c^11+4/693*F^a/d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^7+8/3465*F^a/d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^5+16/10395*F^a/d*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*c^3+32/10395*F^a/d*b^5*ln(F)^5*F^(1/(d*x+c)^2*b)*c+2/99*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^9+4/693*F^a*d^6*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*x^7+8/3465*F^a*d^4*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*x^5+16/10395*F^a*d^2*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*x^3+2/99*F^a*d^8*b*ln(F)*F^(1/(d*x+c)^2*b)*x^9+2/11*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c^8*x+4/99*F^a*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^6*x+8/693*F^a*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^4*x+16/3465*F^a*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*c^2*x+32/10395*F^a*b^5*ln(F)^5*F^(1/(d*x+c)^2*b)*x+F^a*d^9*F^(1/(d*x+c)^2*b)*c*x^10+5*F^a*d^8*F^(1/(d*x+c)^2*b)*c^2*x^9+15*F^a*d^7*F^(1/(d*x+c)^2*b)*c^3*x^8+30*F^a*d^6*F^(1/(d*x+c)^2*b)*c^4*x^7+42*F^a*d^5*F^(1/(d*x+c)^2*b)*c^5*x^6+42*F^a*d^4*F^(1/(d*x+c)^2*b)*c^6*x^5+30*F^a*d^3*F^(1/(d*x+c)^2*b)*c^7*x^4+15*F^a*d^2*F^(1/(d*x+c)^2*b)*c^8*x^3+5*F^a*d*F^(1/(d*x+c)^2*b)*c^9*x^2+2/11*F^a*d^7*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x^8+8/11*F^a*d^6*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2*x^7+56/33*F^a*d^5*b*ln(F)*F^(1/(d*x+c)^2*b)*c^3*x^6+28/11*F^a*d^4*b*ln(F)*F^(1/(d*x+c)^2*b)*c^4*x^5+28/11*F^a*d^3*b*ln(F)*F^(1/(d*x+c)^2*b)*c^5*x^4+56/33*F^a*d^2*b*ln(F)*F^(1/(d*x+c)^2*b)*c^6*x^3+8/11*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^7*x^2+4/99*F^a*d^5*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c*x^6+4/33*F^a*d^4*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^2*x^5+20/99*F^a*d^3*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^3*x^4+20/99*F^a*d^2*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^4*x^3+4/33*F^a*d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^5*x^2+8/693*F^a*d^3*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c*x^4+16/693*F^a*d^2*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^2*x^3+16/693*F^a*d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^3*x^2+16/3465*F^a*d*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*c*x^2-32/10395*F^a/d*b^6*ln(F)^6*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","B"
328,1,826,190,0.116000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^8,x)","\frac{d^{8} x^{9} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{9}+c \,d^{7} x^{8} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b \,d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{63}+4 c^{2} d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b c \,d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{9}+\frac{28 c^{3} d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{3}+\frac{4 b^{2} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{315}+\frac{2 b \,c^{2} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{3}+14 c^{4} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{4 b^{2} c \,d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{63}+\frac{10 b \,c^{3} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{9}+14 c^{5} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{8 b^{3} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{945}+\frac{8 b^{2} c^{2} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{63}+\frac{10 b \,c^{4} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{9}+\frac{28 c^{6} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{3}+\frac{8 b^{3} c d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{315}+\frac{8 b^{2} c^{3} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{63}+\frac{2 b \,c^{5} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{3}+4 c^{7} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}-\frac{16 \sqrt{\pi}\, b^{5} F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right) \ln \left(F \right)^{5}}{945 \sqrt{-b \ln \left(F \right)}\, d}+\frac{16 b^{4} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{945}+\frac{8 b^{3} c^{2} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{315}+\frac{4 b^{2} c^{4} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{63}+\frac{2 b \,c^{6} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{9}+c^{8} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{16 b^{4} c \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{4}}{945 d}+\frac{8 b^{3} c^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{945 d}+\frac{4 b^{2} c^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{315 d}+\frac{2 b \,c^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{63 d}+\frac{c^{9} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{9 d}"," ",0,"4*F^a*d^6*F^(1/(d*x+c)^2*b)*c^2*x^7+28/3*F^a*d^5*F^(1/(d*x+c)^2*b)*c^3*x^6+14*F^a*d^4*F^(1/(d*x+c)^2*b)*c^4*x^5+14*F^a*d^3*F^(1/(d*x+c)^2*b)*c^5*x^4+28/3*F^a*d^2*F^(1/(d*x+c)^2*b)*c^6*x^3+4*F^a*d*F^(1/(d*x+c)^2*b)*c^7*x^2+16/945*F^a*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*x+F^a*d^7*F^(1/(d*x+c)^2*b)*c*x^8+4/63*F^a*d^3*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c*x^4+8/63*F^a*d^2*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^2*x^3+8/63*F^a*d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^3*x^2+8/315*F^a*d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c*x^2-16/945*F^a/d*b^5*ln(F)^5*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))+2/9*F^a*d^5*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x^6+8/945*F^a*d^2*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*x^3+4/63*F^a*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^4*x+8/315*F^a*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^2*x+2/9*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c^6*x+2/63*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^7+4/315*F^a/d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^5+8/945*F^a/d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c^3+16/945*F^a/d*b^4*ln(F)^4*F^(1/(d*x+c)^2*b)*c+2/63*F^a*d^6*b*ln(F)*F^(1/(d*x+c)^2*b)*x^7+4/315*F^a*d^4*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*x^5+F^a*F^(1/(d*x+c)^2*b)*c^8*x+1/9*F^a/d*F^(1/(d*x+c)^2*b)*c^9+1/9*F^a*d^8*F^(1/(d*x+c)^2*b)*x^9+2/3*F^a*d^4*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2*x^5+10/9*F^a*d^3*b*ln(F)*F^(1/(d*x+c)^2*b)*c^3*x^4+10/9*F^a*d^2*b*ln(F)*F^(1/(d*x+c)^2*b)*c^4*x^3+2/3*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^5*x^2","B"
329,1,543,150,0.095000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^6,x)","\frac{d^{6} x^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{7}+c \,d^{5} x^{6} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b \,d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{35}+3 c^{2} d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b c \,d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{7}+5 c^{3} d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{4 b^{2} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{105}+\frac{4 b \,c^{2} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{7}+5 c^{4} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{4 b^{2} c d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{35}+\frac{4 b \,c^{3} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{7}+3 c^{5} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}-\frac{8 \sqrt{\pi}\, b^{4} F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right) \ln \left(F \right)^{4}}{105 \sqrt{-b \ln \left(F \right)}\, d}+\frac{8 b^{3} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{105}+\frac{4 b^{2} c^{2} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{35}+\frac{2 b \,c^{4} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{7}+c^{6} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{8 b^{3} c \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{3}}{105 d}+\frac{4 b^{2} c^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{105 d}+\frac{2 b \,c^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{35 d}+\frac{c^{7} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{7 d}"," ",0,"1/7*F^a*d^6*F^(1/(d*x+c)^2*b)*x^7+F^a*d^5*F^(1/(d*x+c)^2*b)*c*x^6+3*F^a*d^4*F^(1/(d*x+c)^2*b)*c^2*x^5+5*F^a*d^3*F^(1/(d*x+c)^2*b)*c^3*x^4+5*F^a*d^2*F^(1/(d*x+c)^2*b)*c^4*x^3+3*F^a*d*F^(1/(d*x+c)^2*b)*c^5*x^2+F^a*F^(1/(d*x+c)^2*b)*c^6*x+1/7*F^a/d*F^(1/(d*x+c)^2*b)*c^7+2/35*F^a*d^4*b*ln(F)*F^(1/(d*x+c)^2*b)*x^5+2/7*F^a*d^3*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x^4+4/7*F^a*d^2*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2*x^3+4/7*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^3*x^2+2/7*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c^4*x+2/35*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^5+4/105*F^a*d^2*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*x^3+4/35*F^a*d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c*x^2+4/35*F^a*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^2*x+4/105*F^a/d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c^3+8/105*F^a*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*x+8/105*F^a/d*b^3*ln(F)^3*F^(1/(d*x+c)^2*b)*c-8/105*F^a/d*b^4*ln(F)^4*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","B"
330,1,324,118,0.083000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^4,x)","\frac{d^{4} x^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{5}+c \,d^{3} x^{4} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b \,d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{15}+2 c^{2} d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b c d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{5}+2 c^{3} d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}-\frac{4 \sqrt{\pi}\, b^{3} F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right) \ln \left(F \right)^{3}}{15 \sqrt{-b \ln \left(F \right)}\, d}+\frac{4 b^{2} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{15}+\frac{2 b \,c^{2} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{5}+c^{4} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{4 b^{2} c \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)^{2}}{15 d}+\frac{2 b \,c^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{15 d}+\frac{c^{5} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{5 d}"," ",0,"1/5*F^a*d^4*F^(1/(d*x+c)^2*b)*x^5+F^a*d^3*F^(1/(d*x+c)^2*b)*c*x^4+2*F^a*d^2*F^(1/(d*x+c)^2*b)*c^2*x^3+2*F^a*d*F^(1/(d*x+c)^2*b)*c^3*x^2+F^a*F^(1/(d*x+c)^2*b)*c^4*x+1/5*F^a/d*F^(1/(d*x+c)^2*b)*c^5+2/15*F^a*d^2*b*ln(F)*F^(1/(d*x+c)^2*b)*x^3+2/5*F^a*d*b*ln(F)*F^(1/(d*x+c)^2*b)*c*x^2+2/5*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*c^2*x+2/15*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c^3+4/15*F^a*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*x+4/15*F^a/d*b^2*ln(F)^2*F^(1/(d*x+c)^2*b)*c-4/15*F^a/d*b^3*ln(F)^3*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","B"
331,1,169,86,0.070000," ","int(F^(a+1/(d*x+c)^2*b)*(d*x+c)^2,x)","\frac{d^{2} x^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{3}+c d \,x^{2} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}-\frac{2 \sqrt{\pi}\, b^{2} F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right) \ln \left(F \right)^{2}}{3 \sqrt{-b \ln \left(F \right)}\, d}+\frac{2 b x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{3}+c^{2} x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{2 b c \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}} \ln \left(F \right)}{3 d}+\frac{c^{3} F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{3 d}"," ",0,"1/3*F^a*d^2*F^(1/(d*x+c)^2*b)*x^3+F^a*d*F^(1/(d*x+c)^2*b)*c*x^2+F^a*F^(1/(d*x+c)^2*b)*c^2*x+1/3*F^a/d*F^(1/(d*x+c)^2*b)*c^3+2/3*F^a*b*ln(F)*F^(1/(d*x+c)^2*b)*x+2/3*F^a/d*b*ln(F)*F^(1/(d*x+c)^2*b)*c-2/3*F^a/d*b^2*ln(F)^2*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
332,1,74,57,0.061000," ","int(F^(a+1/(d*x+c)^2*b),x)","-\frac{\sqrt{\pi}\, b \,F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right) \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}\, d}+x \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}+\frac{c \,F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{d}"," ",0,"F^a*F^(1/(d*x+c)^2*b)*x+1/d*F^a*F^(1/(d*x+c)^2*b)*c-1/d*F^a*b*ln(F)*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
333,1,35,34,0.064000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^2,x)","-\frac{\sqrt{\pi}\, F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right)}{2 \sqrt{-b \ln \left(F \right)}\, d}"," ",0,"-1/2/d*F^a*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
334,1,76,67,0.085000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^4,x)","-\frac{F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2 \left(d x +c \right) b d \ln \left(F \right)}+\frac{\sqrt{\pi}\, F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right)}{4 \sqrt{-b \ln \left(F \right)}\, b d \ln \left(F \right)}"," ",0,"-1/2/d*F^a*F^(1/(d*x+c)^2*b)/(d*x+c)/b/ln(F)+1/4/d*F^a/b/ln(F)*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
335,1,109,99,0.117000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^6,x)","-\frac{F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2 \left(d x +c \right)^{3} b d \ln \left(F \right)}+\frac{3 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4 \left(d x +c \right) b^{2} d \ln \left(F \right)^{2}}-\frac{3 \sqrt{\pi}\, F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right)}{8 \sqrt{-b \ln \left(F \right)}\, b^{2} d \ln \left(F \right)^{2}}"," ",0,"-1/2*F^a/d*F^(1/(d*x+c)^2*b)/(d*x+c)^3/b/ln(F)+3/4*F^a/d/b^2/ln(F)^2*F^(1/(d*x+c)^2*b)/(d*x+c)-3/8*F^a/d/b^2/ln(F)^2*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
336,1,142,131,0.153000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^8,x)","-\frac{F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2 \left(d x +c \right)^{5} b d \ln \left(F \right)}+\frac{5 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4 \left(d x +c \right)^{3} b^{2} d \ln \left(F \right)^{2}}-\frac{15 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{8 \left(d x +c \right) b^{3} d \ln \left(F \right)^{3}}+\frac{15 \sqrt{\pi}\, F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right)}{16 \sqrt{-b \ln \left(F \right)}\, b^{3} d \ln \left(F \right)^{3}}"," ",0,"-1/2*F^a/d*F^(1/(d*x+c)^2*b)/(d*x+c)^5/b/ln(F)+5/4*F^a/d/b^2/ln(F)^2*F^(1/(d*x+c)^2*b)/(d*x+c)^3-15/8*F^a/d/b^3/ln(F)^3*F^(1/(d*x+c)^2*b)/(d*x+c)+15/16*F^a/d/b^3/ln(F)^3*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
337,1,175,163,0.198000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^10,x)","-\frac{F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2 \left(d x +c \right)^{7} b d \ln \left(F \right)}+\frac{7 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4 \left(d x +c \right)^{5} b^{2} d \ln \left(F \right)^{2}}-\frac{35 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{8 \left(d x +c \right)^{3} b^{3} d \ln \left(F \right)^{3}}+\frac{105 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{16 \left(d x +c \right) b^{4} d \ln \left(F \right)^{4}}-\frac{105 \sqrt{\pi}\, F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right)}{32 \sqrt{-b \ln \left(F \right)}\, b^{4} d \ln \left(F \right)^{4}}"," ",0,"-1/2*F^a/d*F^(1/(d*x+c)^2*b)/(d*x+c)^7/b/ln(F)+7/4*F^a/d/b^2/ln(F)^2*F^(1/(d*x+c)^2*b)/(d*x+c)^5-35/8*F^a/d/b^3/ln(F)^3*F^(1/(d*x+c)^2*b)/(d*x+c)^3+105/16*F^a/d/b^4/ln(F)^4*F^(1/(d*x+c)^2*b)/(d*x+c)-105/32*F^a/d/b^4/ln(F)^4*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
338,1,208,606,0.272000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^12,x)","-\frac{F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2 \left(d x +c \right)^{9} b d \ln \left(F \right)}+\frac{9 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4 \left(d x +c \right)^{7} b^{2} d \ln \left(F \right)^{2}}-\frac{63 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{8 \left(d x +c \right)^{5} b^{3} d \ln \left(F \right)^{3}}+\frac{315 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{16 \left(d x +c \right)^{3} b^{4} d \ln \left(F \right)^{4}}-\frac{945 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{32 \left(d x +c \right) b^{5} d \ln \left(F \right)^{5}}+\frac{945 \sqrt{\pi}\, F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right)}{64 \sqrt{-b \ln \left(F \right)}\, b^{5} d \ln \left(F \right)^{5}}"," ",0,"-1/2*F^a/d*F^(1/(d*x+c)^2*b)/(d*x+c)^9/b/ln(F)+9/4*F^a/d/b^2/ln(F)^2*F^(1/(d*x+c)^2*b)/(d*x+c)^7-63/8*F^a/d/b^3/ln(F)^3*F^(1/(d*x+c)^2*b)/(d*x+c)^5+315/16*F^a/d/b^4/ln(F)^4*F^(1/(d*x+c)^2*b)/(d*x+c)^3-945/32*F^a/d/b^5/ln(F)^5*F^(1/(d*x+c)^2*b)/(d*x+c)+945/64*F^a/d/b^5/ln(F)^5*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
339,1,241,578,0.360000," ","int(F^(a+1/(d*x+c)^2*b)/(d*x+c)^14,x)","-\frac{F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{2 \left(d x +c \right)^{11} b d \ln \left(F \right)}+\frac{11 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{4 \left(d x +c \right)^{9} b^{2} d \ln \left(F \right)^{2}}-\frac{99 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{8 \left(d x +c \right)^{7} b^{3} d \ln \left(F \right)^{3}}+\frac{693 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{16 \left(d x +c \right)^{5} b^{4} d \ln \left(F \right)^{4}}-\frac{3465 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{32 \left(d x +c \right)^{3} b^{5} d \ln \left(F \right)^{5}}+\frac{10395 F^{a} F^{\frac{b}{\left(d x +c \right)^{2}}}}{64 \left(d x +c \right) b^{6} d \ln \left(F \right)^{6}}-\frac{10395 \sqrt{\pi}\, F^{a} \erf \left(\frac{\sqrt{-b \ln \left(F \right)}}{d x +c}\right)}{128 \sqrt{-b \ln \left(F \right)}\, b^{6} d \ln \left(F \right)^{6}}"," ",0,"-1/2*F^a/d*F^(1/(d*x+c)^2*b)/(d*x+c)^11/b/ln(F)+11/4*F^a/d/b^2/ln(F)^2*F^(1/(d*x+c)^2*b)/(d*x+c)^9-99/8*F^a/d/b^3/ln(F)^3*F^(1/(d*x+c)^2*b)/(d*x+c)^7+693/16*F^a/d/b^4/ln(F)^4*F^(1/(d*x+c)^2*b)/(d*x+c)^5-3465/32*F^a/d/b^5/ln(F)^5*F^(1/(d*x+c)^2*b)/(d*x+c)^3+10395/64*F^a/d/b^6/ln(F)^6*F^(1/(d*x+c)^2*b)/(d*x+c)-10395/128*F^a/d/b^6/ln(F)^6*Pi^(1/2)/(-b*ln(F))^(1/2)*erf((-b*ln(F))^(1/2)/(d*x+c))","A"
340,0,0,53,0.121000," ","int(F^(a+b/(d*x+c)^3)*(d*x+c)^m,x)","\int F^{a +\frac{b}{\left(d x +c \right)^{3}}} \left(d x +c \right)^{m}\, dx"," ",0,"int(F^(a+b/(d*x+c)^3)*(d*x+c)^m,x)","F"
341,0,0,29,0.189000," ","int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^14,x)","\int \left(d x +c \right)^{14} F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^14,x)","F"
342,0,0,29,0.159000," ","int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^11,x)","\int \left(d x +c \right)^{11} F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^11,x)","F"
343,0,0,113,0.139000," ","int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^8,x)","\int \left(d x +c \right)^{8} F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^8,x)","F"
344,0,0,81,0.122000," ","int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^5,x)","\int \left(d x +c \right)^{5} F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^5,x)","F"
345,0,0,49,0.109000," ","int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^2,x)","\int \left(d x +c \right)^{2} F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^2,x)","F"
346,0,0,20,0.099000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c),x)","\int \frac{F^{a +\frac{b}{\left(d x +c \right)^{3}}}}{d x +c}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)/(d*x+c),x)","F"
347,1,26,25,0.004000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^4,x)","-\frac{F^{a +\frac{b}{\left(d x +c \right)^{3}}}}{3 b d \ln \left(F \right)}"," ",0,"-1/3*F^(a+1/(d*x+c)^3*b)/b/d/ln(F)","A"
348,1,261,58,0.087000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^7,x)","\frac{\frac{d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{2} \ln \left(F \right)^{2}}+\frac{2 c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}+\frac{5 c^{2} d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}-\frac{\left(-20 c^{3}+b \ln \left(F \right)\right) d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{2} \ln \left(F \right)^{2}}-\frac{\left(-5 c^{3}+b \ln \left(F \right)\right) c d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}-\frac{\left(-2 c^{3}+b \ln \left(F \right)\right) c^{2} x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{2} \ln \left(F \right)^{2}}-\frac{\left(-c^{3}+b \ln \left(F \right)\right) c^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{2} d \ln \left(F \right)^{2}}}{\left(d x +c \right)^{6}}"," ",0,"(1/3/b^2/ln(F)^2*d^5*x^6*exp((a+1/(d*x+c)^3*b)*ln(F))-c^2*(-2*c^3+b*ln(F))/b^2/ln(F)^2*x*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*c^3*(-c^3+b*ln(F))/d/b^2/ln(F)^2*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*d^2*(-20*c^3+b*ln(F))/b^2/ln(F)^2*x^3*exp((a+1/(d*x+c)^3*b)*ln(F))+5*d^3*c^2/b^2/ln(F)^2*x^4*exp((a+1/(d*x+c)^3*b)*ln(F))+2*d^4*c/b^2/ln(F)^2*x^5*exp((a+1/(d*x+c)^3*b)*ln(F))-c*d*(-5*c^3+b*ln(F))/b^2/ln(F)^2*x^2*exp((a+1/(d*x+c)^3*b)*ln(F)))/(d*x+c)^6","B"
349,1,434,90,0.140000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^10,x)","\frac{-\frac{2 d^{8} x^{9} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{3} \ln \left(F \right)^{3}}-\frac{6 c \,d^{7} x^{8} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{24 c^{2} d^{6} x^{7} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}+\frac{2 \left(-84 c^{3}+b \ln \left(F \right)\right) d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{3} \ln \left(F \right)^{3}}+\frac{4 \left(-21 c^{3}+b \ln \left(F \right)\right) c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}+\frac{2 \left(-42 c^{3}+5 b \ln \left(F \right)\right) c^{2} d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{\left(168 c^{6}-40 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{3} \ln \left(F \right)^{3}}-\frac{\left(24 c^{6}-10 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) c d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{\left(6 c^{6}-4 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) c^{2} x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{3} \ln \left(F \right)^{3}}-\frac{\left(2 c^{6}-2 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) c^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{3} d \ln \left(F \right)^{3}}}{\left(d x +c \right)^{9}}"," ",0,"(-2/3*d^8/ln(F)^3/b^3*x^9*exp((a+1/(d*x+c)^3*b)*ln(F))-c^2*(6*c^6-4*b*c^3*ln(F)+b^2*ln(F)^2)/b^3/ln(F)^3*x*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*d^2*(168*c^6-40*b*c^3*ln(F)+b^2*ln(F)^2)/ln(F)^3/b^3*x^3*exp((a+1/(d*x+c)^3*b)*ln(F))+2/3*d^5*(-84*c^3+b*ln(F))/ln(F)^3/b^3*x^6*exp((a+1/(d*x+c)^3*b)*ln(F))-24*d^6*c^2/ln(F)^3/b^3*x^7*exp((a+1/(d*x+c)^3*b)*ln(F))-6*d^7*c/ln(F)^3/b^3*x^8*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*(2*c^6-2*b*c^3*ln(F)+b^2*ln(F)^2)*c^3/b^3/ln(F)^3/d*exp((a+1/(d*x+c)^3*b)*ln(F))-c*d*(24*c^6-10*b*c^3*ln(F)+b^2*ln(F)^2)/ln(F)^3/b^3*x^2*exp((a+1/(d*x+c)^3*b)*ln(F))+4*c*d^4*(-21*c^3+b*ln(F))/ln(F)^3/b^3*x^5*exp((a+1/(d*x+c)^3*b)*ln(F))+2*c^2*d^3*(-42*c^3+5*b*ln(F))/ln(F)^3/b^3*x^4*exp((a+1/(d*x+c)^3*b)*ln(F)))/(d*x+c)^9","B"
350,1,641,121,0.209000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^13,x)","\frac{\frac{2 d^{11} x^{12} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{24 c \,d^{10} x^{11} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{132 c^{2} d^{9} x^{10} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{2 \left(-220 c^{3}+b \ln \left(F \right)\right) d^{8} x^{9} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{18 \left(-55 c^{3}+b \ln \left(F \right)\right) c \,d^{7} x^{8} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{72 \left(-22 c^{3}+b \ln \left(F \right)\right) c^{2} d^{6} x^{7} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{\left(1848 c^{6}-168 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{6 \left(264 c^{6}-42 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}+\frac{3 \left(330 c^{6}-84 b \,c^{3} \ln \left(F \right)+5 b^{2} \ln \left(F \right)^{2}\right) c^{2} d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{\left(-1320 c^{9}+504 b \,c^{6} \ln \left(F \right)-60 b^{2} c^{3} \ln \left(F \right)^{2}+b^{3} \ln \left(F \right)^{3}\right) d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{4} \ln \left(F \right)^{4}}-\frac{\left(-132 c^{9}+72 b \,c^{6} \ln \left(F \right)-15 b^{2} c^{3} \ln \left(F \right)^{2}+b^{3} \ln \left(F \right)^{3}\right) c d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{\left(-24 c^{9}+18 b \,c^{6} \ln \left(F \right)-6 b^{2} c^{3} \ln \left(F \right)^{2}+b^{3} \ln \left(F \right)^{3}\right) c^{2} x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{4} \ln \left(F \right)^{4}}-\frac{\left(-6 c^{9}+6 b \,c^{6} \ln \left(F \right)-3 b^{2} c^{3} \ln \left(F \right)^{2}+b^{3} \ln \left(F \right)^{3}\right) c^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{4} d \ln \left(F \right)^{4}}}{\left(d x +c \right)^{12}}"," ",0,"(-c*d*(-132*c^9+72*b*c^6*ln(F)-15*b^2*c^3*ln(F)^2+b^3*ln(F)^3)/ln(F)^4/b^4*x^2*exp((a+1/(d*x+c)^3*b)*ln(F))+3*c^2*d^3*(330*c^6-84*b*c^3*ln(F)+5*b^2*ln(F)^2)/ln(F)^4/b^4*x^4*exp((a+1/(d*x+c)^3*b)*ln(F))+6*c*d^4*(264*c^6-42*b*c^3*ln(F)+b^2*ln(F)^2)/ln(F)^4/b^4*x^5*exp((a+1/(d*x+c)^3*b)*ln(F))-72*c^2*d^6*(-22*c^3+b*ln(F))/ln(F)^4/b^4*x^7*exp((a+1/(d*x+c)^3*b)*ln(F))-18*c*d^7*(-55*c^3+b*ln(F))/ln(F)^4/b^4*x^8*exp((a+1/(d*x+c)^3*b)*ln(F))+d^5*(1848*c^6-168*b*c^3*ln(F)+b^2*ln(F)^2)/ln(F)^4/b^4*x^6*exp((a+1/(d*x+c)^3*b)*ln(F))-2*d^8*(-220*c^3+b*ln(F))/ln(F)^4/b^4*x^9*exp((a+1/(d*x+c)^3*b)*ln(F))+132*d^9*c^2/ln(F)^4/b^4*x^10*exp((a+1/(d*x+c)^3*b)*ln(F))+24*d^10*c/ln(F)^4/b^4*x^11*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*(-6*c^9+6*b*c^6*ln(F)-3*b^2*c^3*ln(F)^2+b^3*ln(F)^3)*c^3/b^4/ln(F)^4/d*exp((a+1/(d*x+c)^3*b)*ln(F))-c^2*(-24*c^9+18*b*c^6*ln(F)-6*b^2*c^3*ln(F)^2+b^3*ln(F)^3)/b^4/ln(F)^4*x*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*d^2*(-1320*c^9+504*b*c^6*ln(F)-60*b^2*c^3*ln(F)^2+b^3*ln(F)^3)/ln(F)^4/b^4*x^3*exp((a+1/(d*x+c)^3*b)*ln(F))+2*d^11/ln(F)^4/b^4*x^12*exp((a+1/(d*x+c)^3*b)*ln(F)))/(d*x+c)^12","B"
351,1,889,94,0.314000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^16,x)","\frac{-\frac{8 d^{14} x^{15} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{120 c \,d^{13} x^{14} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{840 c^{2} d^{12} x^{13} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{8 \left(-455 c^{3}+b \ln \left(F \right)\right) d^{11} x^{12} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{24 \left(-455 c^{3}+4 b \ln \left(F \right)\right) c \,d^{10} x^{11} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{264 \left(-91 c^{3}+2 b \ln \left(F \right)\right) c^{2} d^{9} x^{10} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{4 \left(10010 c^{6}-440 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) d^{8} x^{9} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{36 \left(1430 c^{6}-110 b \,c^{3} \ln \left(F \right)+b^{2} \ln \left(F \right)^{2}\right) c \,d^{7} x^{8} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{72 \left(715 c^{6}-88 b \,c^{3} \ln \left(F \right)+2 b^{2} \ln \left(F \right)^{2}\right) c^{2} d^{6} x^{7} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{4 \left(-30030 c^{9}+5544 b \,c^{6} \ln \left(F \right)-252 b^{2} c^{3} \ln \left(F \right)^{2}+b^{3} \ln \left(F \right)^{3}\right) d^{5} x^{6} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{5} \ln \left(F \right)^{5}}+\frac{8 \left(-3003 c^{9}+792 b \,c^{6} \ln \left(F \right)-63 b^{2} c^{3} \ln \left(F \right)^{2}+b^{3} \ln \left(F \right)^{3}\right) c \,d^{4} x^{5} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}+\frac{4 \left(-2730 c^{9}+990 b \,c^{6} \ln \left(F \right)-126 b^{2} c^{3} \ln \left(F \right)^{2}+5 b^{3} \ln \left(F \right)^{3}\right) c^{2} d^{3} x^{4} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{\left(10920 c^{12}-5280 b \,c^{9} \ln \left(F \right)+1008 b^{2} c^{6} \ln \left(F \right)^{2}-80 b^{3} c^{3} \ln \left(F \right)^{3}+b^{4} \ln \left(F \right)^{4}\right) d^{2} x^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{5} \ln \left(F \right)^{5}}-\frac{\left(840 c^{12}-528 b \,c^{9} \ln \left(F \right)+144 b^{2} c^{6} \ln \left(F \right)^{2}-20 b^{3} c^{3} \ln \left(F \right)^{3}+b^{4} \ln \left(F \right)^{4}\right) c d \,x^{2} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{\left(120 c^{12}-96 b \,c^{9} \ln \left(F \right)+36 b^{2} c^{6} \ln \left(F \right)^{2}-8 b^{3} c^{3} \ln \left(F \right)^{3}+b^{4} \ln \left(F \right)^{4}\right) c^{2} x \,{\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{b^{5} \ln \left(F \right)^{5}}-\frac{\left(24 c^{12}-24 b \,c^{9} \ln \left(F \right)+12 b^{2} c^{6} \ln \left(F \right)^{2}-4 b^{3} c^{3} \ln \left(F \right)^{3}+b^{4} \ln \left(F \right)^{4}\right) c^{3} {\mathrm e}^{\left(a +\frac{b}{\left(d x +c \right)^{3}}\right) \ln \left(F \right)}}{3 b^{5} d \ln \left(F \right)^{5}}}{\left(d x +c \right)^{15}}"," ",0,"(-d*c*(840*c^12-528*ln(F)*b*c^9+144*b^2*c^6*ln(F)^2-20*ln(F)^3*b^3*c^3+b^4*ln(F)^4)/b^5/ln(F)^5*x^2*exp((a+1/(d*x+c)^3*b)*ln(F))+4*c^2*d^3*(-2730*c^9+990*b*c^6*ln(F)-126*b^2*c^3*ln(F)^2+5*b^3*ln(F)^3)/ln(F)^5/b^5*x^4*exp((a+1/(d*x+c)^3*b)*ln(F))+8*c*d^4*(-3003*c^9+792*b*c^6*ln(F)-63*b^2*c^3*ln(F)^2+b^3*ln(F)^3)/ln(F)^5/b^5*x^5*exp((a+1/(d*x+c)^3*b)*ln(F))-72*c^2*d^6*(715*c^6-88*b*c^3*ln(F)+2*b^2*ln(F)^2)/ln(F)^5/b^5*x^7*exp((a+1/(d*x+c)^3*b)*ln(F))-36*c*d^7*(1430*c^6-110*b*c^3*ln(F)+b^2*ln(F)^2)/ln(F)^5/b^5*x^8*exp((a+1/(d*x+c)^3*b)*ln(F))+264*c^2*d^9*(-91*c^3+2*b*ln(F))/ln(F)^5/b^5*x^10*exp((a+1/(d*x+c)^3*b)*ln(F))+24*c*d^10*(-455*c^3+4*b*ln(F))/ln(F)^5/b^5*x^11*exp((a+1/(d*x+c)^3*b)*ln(F))-4*d^8*(10010*c^6-440*b*c^3*ln(F)+b^2*ln(F)^2)/ln(F)^5/b^5*x^9*exp((a+1/(d*x+c)^3*b)*ln(F))+8*d^11*(-455*c^3+b*ln(F))/ln(F)^5/b^5*x^12*exp((a+1/(d*x+c)^3*b)*ln(F))-840*d^12*c^2/ln(F)^5/b^5*x^13*exp((a+1/(d*x+c)^3*b)*ln(F))-120*d^13*c/ln(F)^5/b^5*x^14*exp((a+1/(d*x+c)^3*b)*ln(F))-8*d^14/ln(F)^5/b^5*x^15*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*(24*c^12-24*ln(F)*b*c^9+12*b^2*c^6*ln(F)^2-4*ln(F)^3*b^3*c^3+b^4*ln(F)^4)*c^3/b^5/ln(F)^5/d*exp((a+1/(d*x+c)^3*b)*ln(F))-c^2*(120*c^12-96*ln(F)*b*c^9+36*b^2*c^6*ln(F)^2-8*ln(F)^3*b^3*c^3+b^4*ln(F)^4)/b^5/ln(F)^5*x*exp((a+1/(d*x+c)^3*b)*ln(F))-1/3*d^2*(10920*c^12-5280*ln(F)*b*c^9+1008*b^2*c^6*ln(F)^2-80*ln(F)^3*b^3*c^3+b^4*ln(F)^4)/ln(F)^5/b^5*x^3*exp((a+1/(d*x+c)^3*b)*ln(F))+4/3*d^5*(-30030*c^9+5544*b*c^6*ln(F)-252*b^2*c^3*ln(F)^2+b^3*ln(F)^3)/ln(F)^5/b^5*x^6*exp((a+1/(d*x+c)^3*b)*ln(F)))/(d*x+c)^15","B"
352,1,733,111,0.042000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^19,x)","-\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}+120 b \,d^{12} x^{12} \ln \left(F \right)-163800 c^{4} d^{11} x^{11}+1440 b c \,d^{11} x^{11} \ln \left(F \right)-360360 c^{5} d^{10} x^{10}+7920 b \,c^{2} d^{10} x^{10} \ln \left(F \right)-600600 c^{6} d^{9} x^{9}+26400 b \,c^{3} d^{9} x^{9} \ln \left(F \right)-772200 c^{7} d^{8} x^{8}-60 b^{2} d^{9} x^{9} \ln \left(F \right)^{2}+59400 b \,c^{4} d^{8} x^{8} \ln \left(F \right)-772200 c^{8} d^{7} x^{7}-540 b^{2} c \,d^{8} x^{8} \ln \left(F \right)^{2}+95040 b \,c^{5} d^{7} x^{7} \ln \left(F \right)-600600 c^{9} d^{6} x^{6}-2160 b^{2} c^{2} d^{7} x^{7} \ln \left(F \right)^{2}+110880 b \,c^{6} d^{6} x^{6} \ln \left(F \right)-360360 c^{10} d^{5} x^{5}-5040 b^{2} c^{3} d^{6} x^{6} \ln \left(F \right)^{2}+95040 b \,c^{7} d^{5} x^{5} \ln \left(F \right)-163800 c^{11} d^{4} x^{4}+20 b^{3} d^{6} x^{6} \ln \left(F \right)^{3}-7560 b^{2} c^{4} d^{5} x^{5} \ln \left(F \right)^{2}+59400 b \,c^{8} d^{4} x^{4} \ln \left(F \right)-54600 c^{12} d^{3} x^{3}+120 b^{3} c \,d^{5} x^{5} \ln \left(F \right)^{3}-7560 b^{2} c^{5} d^{4} x^{4} \ln \left(F \right)^{2}+26400 b \,c^{9} d^{3} x^{3} \ln \left(F \right)-12600 c^{13} d^{2} x^{2}+300 b^{3} c^{2} d^{4} x^{4} \ln \left(F \right)^{3}-5040 b^{2} c^{6} d^{3} x^{3} \ln \left(F \right)^{2}+7920 b \,c^{10} d^{2} x^{2} \ln \left(F \right)-1800 c^{14} d x +400 b^{3} c^{3} d^{3} x^{3} \ln \left(F \right)^{3}-2160 b^{2} c^{7} d^{2} x^{2} \ln \left(F \right)^{2}+1440 b \,c^{11} d x \ln \left(F \right)-120 c^{15}-5 b^{4} d^{3} x^{3} \ln \left(F \right)^{4}+300 b^{3} c^{4} d^{2} x^{2} \ln \left(F \right)^{3}-540 b^{2} c^{8} d x \ln \left(F \right)^{2}+120 b \,c^{12} \ln \left(F \right)-15 b^{4} c \,d^{2} x^{2} \ln \left(F \right)^{4}+120 b^{3} c^{5} d x \ln \left(F \right)^{3}-60 b^{2} c^{9} \ln \left(F \right)^{2}-15 b^{4} c^{2} d x \ln \left(F \right)^{4}+20 b^{3} c^{6} \ln \left(F \right)^{3}-5 b^{4} c^{3} \ln \left(F \right)^{4}+b^{5} \ln \left(F \right)^{5}\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}{\left(d x +c \right)^{3}}}}{3 \left(d x +c \right)^{15} b^{6} d \ln \left(F \right)^{6}}"," ",0,"-1/3*(-120*c^15-15*ln(F)^4*b^4*c^2*d*x+1440*ln(F)*b*c^11*d*x-540*ln(F)^2*b^2*c^8*d*x-15*ln(F)^4*b^4*c*d^2*x^2+1440*ln(F)*b*c*d^11*x^11+7920*ln(F)*b*c^2*d^10*x^10+26400*ln(F)*b*c^3*d^9*x^9+59400*ln(F)*b*c^4*d^8*x^8-540*ln(F)^2*b^2*c*d^8*x^8+95040*ln(F)*b*c^5*d^7*x^7-2160*ln(F)^2*b^2*c^2*d^7*x^7+110880*ln(F)*b*c^6*d^6*x^6-5040*ln(F)^2*b^2*c^3*d^6*x^6+95040*ln(F)*b*c^7*d^5*x^5-7560*ln(F)^2*b^2*c^4*d^5*x^5+59400*ln(F)*b*c^8*d^4*x^4-7560*ln(F)^2*b^2*c^5*d^4*x^4+26400*ln(F)*b*c^9*d^3*x^3-5040*ln(F)^2*b^2*c^6*d^3*x^3+7920*ln(F)*b*c^10*d^2*x^2-2160*ln(F)^2*b^2*c^7*d^2*x^2-120*d^15*x^15+b^5*ln(F)^5+20*b^3*c^6*ln(F)^3-1800*c^14*d*x-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^2-163800*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^6-12600*c^2*d^13*x^13-54600*c^3*d^12*x^12-1800*c*d^14*x^14+120*ln(F)*b*d^12*x^12-60*ln(F)^2*b^2*d^9*x^9-5*ln(F)^4*b^4*d^3*x^3+120*ln(F)*b*c^12-60*ln(F)^2*b^2*c^9-5*ln(F)^4*b^4*c^3+20*b^3*d^6*x^6*ln(F)^3+400*b^3*c^3*d^3*x^3*ln(F)^3+300*b^3*c^4*d^2*x^2*ln(F)^3+120*b^3*c^5*d*x*ln(F)^3+120*b^3*c*d^5*x^5*ln(F)^3+300*b^3*c^2*d^4*x^4*ln(F)^3)/ln(F)^6/b^6/d/(d*x+c)^15*F^((a*d^3*x^3+3*a*c*d^2*x^2+3*a*c^2*d*x+a*c^3+b)/(d*x+c)^3)","B"
353,0,0,43,0.111000," ","int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^3,x)","\int \left(d x +c \right)^{3} F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)*(d*x+c)^3,x)","F"
354,0,0,43,0.093000," ","int(F^(a+1/(d*x+c)^3*b)*(d*x+c),x)","\int \left(d x +c \right) F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)*(d*x+c),x)","F"
355,0,0,41,0.061000," ","int(F^(a+1/(d*x+c)^3*b),x)","\int F^{a +\frac{b}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b),x)","F"
356,0,0,43,0.103000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^2,x)","\int \frac{F^{a +\frac{b}{\left(d x +c \right)^{3}}}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^2,x)","F"
357,0,0,43,0.097000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^3,x)","\int \frac{F^{a +\frac{b}{\left(d x +c \right)^{3}}}}{\left(d x +c \right)^{3}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^3,x)","F"
358,0,0,43,0.113000," ","int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^5,x)","\int \frac{F^{a +\frac{b}{\left(d x +c \right)^{3}}}}{\left(d x +c \right)^{5}}\, dx"," ",0,"int(F^(a+1/(d*x+c)^3*b)/(d*x+c)^5,x)","F"
359,0,0,62,0.098000," ","int(F^(a+b*(d*x+c)^n)*(d*x+c)^m,x)","\int F^{b \left(d x +c \right)^{n}+a} \left(d x +c \right)^{m}\, dx"," ",0,"int(F^(a+b*(d*x+c)^n)*(d*x+c)^m,x)","F"
360,0,0,56,0.090000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^3,x)","\int \left(d x +c \right)^{3} F^{b \left(d x +c \right)^{n}+a}\, dx"," ",0,"int(F^(b*(d*x+c)^n+a)*(d*x+c)^3,x)","F"
361,0,0,56,0.095000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^2,x)","\int \left(d x +c \right)^{2} F^{b \left(d x +c \right)^{n}+a}\, dx"," ",0,"int(F^(b*(d*x+c)^n+a)*(d*x+c)^2,x)","F"
362,0,0,56,0.077000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c),x)","\int \left(d x +c \right) F^{b \left(d x +c \right)^{n}+a}\, dx"," ",0,"int(F^(b*(d*x+c)^n+a)*(d*x+c),x)","F"
363,0,0,50,0.045000," ","int(F^(b*(d*x+c)^n+a),x)","\int F^{b \left(d x +c \right)^{n}+a}\, dx"," ",0,"int(F^(b*(d*x+c)^n+a),x)","F"
364,1,26,22,0.345000," ","int(F^(b*(d*x+c)^n+a)/(d*x+c),x)","-\frac{F^{a} \Ei \left(1, -b \left(d x +c \right)^{n} \ln \left(F \right)\right)}{d n}"," ",0,"-1/d/n*F^a*Ei(1,-b*(d*x+c)^n*ln(F))","A"
365,0,0,52,0.100000," ","int(F^(b*(d*x+c)^n+a)/(d*x+c)^2,x)","\int \frac{F^{b \left(d x +c \right)^{n}+a}}{\left(d x +c \right)^{2}}\, dx"," ",0,"int(F^(b*(d*x+c)^n+a)/(d*x+c)^2,x)","F"
366,0,0,54,0.098000," ","int(F^(b*(d*x+c)^n+a)/(d*x+c)^3,x)","\int \frac{F^{b \left(d x +c \right)^{n}+a}}{\left(d x +c \right)^{3}}\, dx"," ",0,"int(F^(b*(d*x+c)^n+a)/(d*x+c)^3,x)","F"
367,0,0,54,0.099000," ","int(F^(b*(d*x+c)^n+a)/(d*x+c)^4,x)","\int \frac{F^{b \left(d x +c \right)^{n}+a}}{\left(d x +c \right)^{4}}\, dx"," ",0,"int(F^(b*(d*x+c)^n+a)/(d*x+c)^4,x)","F"
368,1,113,114,0.024000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1+6*n),x)","\frac{\left(b^{5} \left(d x +c \right)^{5 n} \ln \left(F \right)^{5}-5 b^{4} \left(d x +c \right)^{4 n} \ln \left(F \right)^{4}+20 b^{3} \left(d x +c \right)^{3 n} \ln \left(F \right)^{3}-60 b^{2} \left(d x +c \right)^{2 n} \ln \left(F \right)^{2}+120 b \left(d x +c \right)^{n} \ln \left(F \right)-120\right) F^{b \left(d x +c \right)^{n}+a}}{b^{6} d n \ln \left(F \right)^{6}}"," ",0,"(((d*x+c)^n)^5*b^5*ln(F)^5-5*((d*x+c)^n)^4*b^4*ln(F)^4+20*((d*x+c)^n)^3*b^3*ln(F)^3-60*((d*x+c)^n)^2*b^2*ln(F)^2+120*b*(d*x+c)^n*ln(F)-120)/b^6/ln(F)^6/n/d*F^(b*(d*x+c)^n+a)","A"
369,1,95,94,0.026000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1+5*n),x)","\frac{\left(b^{4} \left(d x +c \right)^{4 n} \ln \left(F \right)^{4}-4 b^{3} \left(d x +c \right)^{3 n} \ln \left(F \right)^{3}+12 b^{2} \left(d x +c \right)^{2 n} \ln \left(F \right)^{2}-24 b \left(d x +c \right)^{n} \ln \left(F \right)+24\right) F^{b \left(d x +c \right)^{n}+a}}{b^{5} d n \ln \left(F \right)^{5}}"," ",0,"(((d*x+c)^n)^4*b^4*ln(F)^4-4*((d*x+c)^n)^3*b^3*ln(F)^3+12*((d*x+c)^n)^2*b^2*ln(F)^2-24*b*(d*x+c)^n*ln(F)+24)/b^5/ln(F)^5/n/d*F^(b*(d*x+c)^n+a)","A"
370,1,77,137,0.024000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1+4*n),x)","\frac{\left(b^{3} \left(d x +c \right)^{3 n} \ln \left(F \right)^{3}-3 b^{2} \left(d x +c \right)^{2 n} \ln \left(F \right)^{2}+6 b \left(d x +c \right)^{n} \ln \left(F \right)-6\right) F^{b \left(d x +c \right)^{n}+a}}{b^{4} d n \ln \left(F \right)^{4}}"," ",0,"(((d*x+c)^n)^3*b^3*ln(F)^3-3*((d*x+c)^n)^2*b^2*ln(F)^2+6*b*(d*x+c)^n*ln(F)-6)/b^4/ln(F)^4/n/d*F^(b*(d*x+c)^n+a)","A"
371,1,59,100,0.023000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1+3*n),x)","\frac{\left(b^{2} \left(d x +c \right)^{2 n} \ln \left(F \right)^{2}-2 b \left(d x +c \right)^{n} \ln \left(F \right)+2\right) F^{b \left(d x +c \right)^{n}+a}}{b^{3} d n \ln \left(F \right)^{3}}"," ",0,"(((d*x+c)^n)^2*b^2*ln(F)^2-2*b*(d*x+c)^n*ln(F)+2)/b^3/ln(F)^3/n/d*F^(b*(d*x+c)^n+a)","A"
372,1,74,63,0.074000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1+2*n),x)","\frac{{\mathrm e}^{n \ln \left(d x +c \right)} {\mathrm e}^{\left(b \,{\mathrm e}^{n \ln \left(d x +c \right)}+a \right) \ln \left(F \right)}}{b d n \ln \left(F \right)}-\frac{{\mathrm e}^{\left(b \,{\mathrm e}^{n \ln \left(d x +c \right)}+a \right) \ln \left(F \right)}}{b^{2} d n \ln \left(F \right)^{2}}"," ",0,"1/d/b/n/ln(F)*exp(n*ln(d*x+c))*exp((a+b*exp(n*ln(d*x+c)))*ln(F))-1/b^2/n/d/ln(F)^2*exp((a+b*exp(n*ln(d*x+c)))*ln(F))","A"
373,1,32,27,0.053000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(n-1),x)","\frac{{\mathrm e}^{\left(b \,{\mathrm e}^{n \ln \left(d x +c \right)}+a \right) \ln \left(F \right)}}{b d n \ln \left(F \right)}"," ",0,"1/d/b/n/ln(F)*exp((b*exp(n*ln(d*x+c))+a)*ln(F))","A"
374,1,26,22,0.048000," ","int(F^(b*(d*x+c)^n+a)/(d*x+c),x)","-\frac{F^{a} \Ei \left(1, -b \left(d x +c \right)^{n} \ln \left(F \right)\right)}{d n}"," ",0,"-1/d/n*F^a*Ei(1,-b*(d*x+c)^n*ln(F))","A"
375,1,61,56,0.148000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1-n),x)","-\frac{b \,F^{a} \Ei \left(1, -b \left(d x +c \right)^{n} \ln \left(F \right)\right) \ln \left(F \right)}{d n}-\frac{F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-n}}{d n}"," ",0,"-1/n/d*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)-1/n/d*ln(F)*b*F^a*Ei(1,-b*(d*x+c)^n*ln(F))","A"
376,1,99,96,0.171000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1-2*n),x)","-\frac{b^{2} F^{a} \Ei \left(1, -b \left(d x +c \right)^{n} \ln \left(F \right)\right) \ln \left(F \right)^{2}}{2 d n}-\frac{b \,F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-n} \ln \left(F \right)}{2 d n}-\frac{F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-2 n}}{2 d n}"," ",0,"-1/2/n/d*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^2-1/2/n/d*ln(F)*b*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)-1/2/n/d*ln(F)^2*b^2*F^a*Ei(1,-b*(d*x+c)^n*ln(F))","A"
377,1,137,135,0.118000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1-3*n),x)","-\frac{b^{3} F^{a} \Ei \left(1, -b \left(d x +c \right)^{n} \ln \left(F \right)\right) \ln \left(F \right)^{3}}{6 d n}-\frac{b^{2} F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-n} \ln \left(F \right)^{2}}{6 d n}-\frac{b \,F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-2 n} \ln \left(F \right)}{6 d n}-\frac{F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-3 n}}{3 d n}"," ",0,"-1/3/n/d*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^3-1/6/n/d*ln(F)*b*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^2-1/6/n/d*ln(F)^2*b^2*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)-1/6/n/d*ln(F)^3*b^3*F^a*Ei(1,-b*(d*x+c)^n*ln(F))","A"
378,1,175,34,0.121000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1-4*n),x)","-\frac{b^{4} F^{a} \Ei \left(1, -b \left(d x +c \right)^{n} \ln \left(F \right)\right) \ln \left(F \right)^{4}}{24 d n}-\frac{b^{3} F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-n} \ln \left(F \right)^{3}}{24 d n}-\frac{b^{2} F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-2 n} \ln \left(F \right)^{2}}{24 d n}-\frac{b \,F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-3 n} \ln \left(F \right)}{12 d n}-\frac{F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-4 n}}{4 d n}"," ",0,"-1/4/n/d*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^4-1/12/n/d*ln(F)*b*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^3-1/24/n/d*ln(F)^2*b^2*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^2-1/24/n/d*ln(F)^3*b^3*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)-1/24/n/d*ln(F)^4*b^4*F^a*Ei(1,-b*(d*x+c)^n*ln(F))","B"
379,1,213,34,0.123000," ","int(F^(b*(d*x+c)^n+a)*(d*x+c)^(-1-5*n),x)","-\frac{b^{5} F^{a} \Ei \left(1, -b \left(d x +c \right)^{n} \ln \left(F \right)\right) \ln \left(F \right)^{5}}{120 d n}-\frac{b^{4} F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-n} \ln \left(F \right)^{4}}{120 d n}-\frac{b^{3} F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-2 n} \ln \left(F \right)^{3}}{120 d n}-\frac{b^{2} F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-3 n} \ln \left(F \right)^{2}}{60 d n}-\frac{b \,F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-4 n} \ln \left(F \right)}{20 d n}-\frac{F^{a} F^{b \left(d x +c \right)^{n}} \left(d x +c \right)^{-5 n}}{5 d n}"," ",0,"-1/5/n/d*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^5-1/20/n/d*ln(F)*b*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^4-1/60/n/d*ln(F)^2*b^2*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^3-1/120/n/d*ln(F)^3*b^3*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)^2-1/120/n/d*ln(F)^4*b^4*F^(b*(d*x+c)^n)*F^a/((d*x+c)^n)-1/120/n/d*ln(F)^5*b^5*F^a*Ei(1,-b*(d*x+c)^n*ln(F))","B"
380,1,36,35,0.166000," ","int(F^(c*(b*x+a)^n)*(b*x+a)^(-1+1/2*n),x)","\frac{\sqrt{\pi}\, \erf \left(\sqrt{-c \ln \left(F \right)}\, \left(b x +a \right)^{\frac{n}{2}}\right)}{\sqrt{-c \ln \left(F \right)}\, b n}"," ",0,"1/n/b*Pi^(1/2)/(-c*ln(F))^(1/2)*erf((-c*ln(F))^(1/2)*(b*x+a)^(1/2*n))","A"
381,1,34,35,0.155000," ","int((b*x+a)^(-1+1/2*n)/(F^(c*(b*x+a)^n)),x)","\frac{\sqrt{\pi}\, \erf \left(\sqrt{c \ln \left(F \right)}\, \left(b x +a \right)^{\frac{n}{2}}\right)}{\sqrt{c \ln \left(F \right)}\, b n}"," ",0,"1/n/b*Pi^(1/2)/(c*ln(F))^(1/2)*erf((c*ln(F))^(1/2)*(b*x+a)^(1/2*n))","A"
382,1,1657,474,0.117000," ","int(F^(a+(d*x+c)^2*b)*(f*x+e)^5,x)","\frac{f^{5} x^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}-\frac{c \,f^{5} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{3} \ln \left(F \right)}+\frac{5 e \,f^{4} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}+\frac{c^{2} f^{5} x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{4} \ln \left(F \right)}-\frac{5 c e \,f^{4} x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{3} \ln \left(F \right)}+\frac{5 e^{2} f^{3} x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{2} \ln \left(F \right)}-\frac{c^{3} f^{5} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{5} \ln \left(F \right)}+\frac{5 c^{2} e \,f^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{4} \ln \left(F \right)}-\frac{5 c \,e^{2} f^{3} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{3} \ln \left(F \right)}+\frac{5 e^{3} f^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{2} \ln \left(F \right)}+\frac{\sqrt{\pi}\, c^{5} f^{5} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{6}}-\frac{5 \sqrt{\pi}\, c^{4} e \,f^{4} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{5}}+\frac{5 \sqrt{\pi}\, c^{3} e^{2} f^{3} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{\sqrt{-b \ln \left(F \right)}\, d^{4}}-\frac{5 \sqrt{\pi}\, c^{2} e^{3} f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{\sqrt{-b \ln \left(F \right)}\, d^{3}}+\frac{5 \sqrt{\pi}\, c \,e^{4} f \,F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{2}}-\frac{\sqrt{\pi}\, e^{5} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d}+\frac{c^{4} f^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{6} \ln \left(F \right)}-\frac{5 c^{3} e \,f^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{5} \ln \left(F \right)}+\frac{5 c^{2} e^{2} f^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{4} \ln \left(F \right)}-\frac{5 c \,e^{3} f^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{3} \ln \left(F \right)}+\frac{5 e^{4} f \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}-\frac{f^{5} x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{2} d^{4} \ln \left(F \right)^{2}}-\frac{5 \sqrt{\pi}\, c^{3} f^{5} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, b \,d^{6} \ln \left(F \right)}+\frac{15 \sqrt{\pi}\, c^{2} e \,f^{4} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, b \,d^{5} \ln \left(F \right)}-\frac{15 \sqrt{\pi}\, c \,e^{2} f^{3} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, b \,d^{4} \ln \left(F \right)}+\frac{5 \sqrt{\pi}\, e^{3} f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, b \,d^{3} \ln \left(F \right)}+\frac{7 c \,f^{5} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d^{5} \ln \left(F \right)^{2}}-\frac{15 e \,f^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d^{4} \ln \left(F \right)^{2}}-\frac{9 c^{2} f^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d^{6} \ln \left(F \right)^{2}}+\frac{25 c e \,f^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d^{5} \ln \left(F \right)^{2}}-\frac{5 e^{2} f^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{2} d^{4} \ln \left(F \right)^{2}}+\frac{15 \sqrt{\pi}\, c \,f^{5} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{8 \sqrt{-b \ln \left(F \right)}\, b^{2} d^{6} \ln \left(F \right)^{2}}-\frac{15 \sqrt{\pi}\, e \,f^{4} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{8 \sqrt{-b \ln \left(F \right)}\, b^{2} d^{5} \ln \left(F \right)^{2}}+\frac{f^{5} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{3} d^{6} \ln \left(F \right)^{3}}"," ",0,"-5/2*e*f^4*c/d^3/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5/2*e*f^4*c^2/d^4/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-5*e^2*f^3*c/d^3/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-5*e^2*f^3/ln(F)^2/b^2/d^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5/2*e^3*f^2/ln(F)/b/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+5/2*e^4*f/ln(F)/b/d^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f^5/ln(F)/b/d^2*x^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f^5*c^4/d^6/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-5/2*f^5*c^3/d^6/ln(F)/b*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-9/4*f^5*c^2/d^6/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+15/8*f^5*c/d^6/ln(F)^2/b^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-f^5/ln(F)^2/b^2/d^4*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-15/8*e*f^4/ln(F)^2/b^2/d^5*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-1/2*f^5*c/d^3/ln(F)/b*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f^5*c^2/d^4/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*f^5*c^3/d^5/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+7/4*f^5*c/d^5/ln(F)^2/b^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5/2*e*f^4/ln(F)/b/d^2*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-5/2*e*f^4*c^3/d^5/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+15/2*e*f^4*c^2/d^5/ln(F)/b*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+25/4*e*f^4*c/d^5/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-15/4*e*f^4/ln(F)^2/b^2/d^4*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5*e^2*f^3/ln(F)/b/d^2*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5*e^2*f^3*c^2/d^4/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-15/2*e^2*f^3*c/d^4/ln(F)/b*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-5*e^3*f^2*c/d^3/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+5*e^3*f^2/ln(F)/b/d^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*e^5*Pi^(1/2)*F^a/d/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+f^5/ln(F)^3/b^3/d^6*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f^5*c^5/d^6*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-5*e^3*f^2*c^2/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+5/2*e^4*f*c/d^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-5/2*e*f^4*c^4/d^5*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+5*e^2*f^3*c^3/d^4*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
383,1,1063,349,0.100000," ","int(F^(a+(d*x+c)^2*b)*(f*x+e)^4,x)","\frac{f^{4} x^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}-\frac{c \,f^{4} x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{3} \ln \left(F \right)}+\frac{2 e \,f^{3} x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{2} \ln \left(F \right)}+\frac{c^{2} f^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{4} \ln \left(F \right)}-\frac{2 c e \,f^{3} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{3} \ln \left(F \right)}+\frac{3 e^{2} f^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{2} \ln \left(F \right)}-\frac{\sqrt{\pi}\, c^{4} f^{4} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{5}}+\frac{2 \sqrt{\pi}\, c^{3} e \,f^{3} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{\sqrt{-b \ln \left(F \right)}\, d^{4}}-\frac{3 \sqrt{\pi}\, c^{2} e^{2} f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{\sqrt{-b \ln \left(F \right)}\, d^{3}}+\frac{2 \sqrt{\pi}\, c \,e^{3} f \,F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{\sqrt{-b \ln \left(F \right)}\, d^{2}}-\frac{\sqrt{\pi}\, e^{4} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d}-\frac{c^{3} f^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{5} \ln \left(F \right)}+\frac{2 c^{2} e \,f^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{4} \ln \left(F \right)}-\frac{3 c \,e^{2} f^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{3} \ln \left(F \right)}+\frac{2 e^{3} f \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{2} \ln \left(F \right)}+\frac{3 \sqrt{\pi}\, c^{2} f^{4} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, b \,d^{5} \ln \left(F \right)}-\frac{3 \sqrt{\pi}\, c e \,f^{3} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{\sqrt{-b \ln \left(F \right)}\, b \,d^{4} \ln \left(F \right)}+\frac{3 \sqrt{\pi}\, e^{2} f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, b \,d^{3} \ln \left(F \right)}-\frac{3 f^{4} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d^{4} \ln \left(F \right)^{2}}+\frac{5 c \,f^{4} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{4 b^{2} d^{5} \ln \left(F \right)^{2}}-\frac{2 e \,f^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b^{2} d^{4} \ln \left(F \right)^{2}}-\frac{3 \sqrt{\pi}\, f^{4} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{8 \sqrt{-b \ln \left(F \right)}\, b^{2} d^{5} \ln \left(F \right)^{2}}"," ",0,"-1/2*e^4*Pi^(1/2)*F^a/d/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+1/2*f^4/ln(F)/b/d^2*x^3*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*f^4*c/d^3/ln(F)/b*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f^4*c^2/d^4/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*f^4*c^3/d^5/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*f^4*c^4/d^5*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+3/2*f^4*c^2/d^5/ln(F)/b*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+5/4*f^4*c/d^5/ln(F)^2/b^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3/4*f^4/ln(F)^2/b^2/d^4*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3/8*f^4/ln(F)^2/b^2/d^5*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+2*e*f^3/ln(F)/b/d^2*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-2*e*f^3*c/d^3/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+2*e*f^3*c^2/d^4/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+2*e*f^3*c^3/d^4*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-3*e*f^3*c/d^4/ln(F)/b*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-2*e*f^3/ln(F)^2/b^2/d^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3*e^2*f^2/ln(F)/b/d^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3*e^2*f^2*c/d^3/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3*e^2*f^2*c^2/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+3/2*e^2*f^2/ln(F)/b/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+2*e^3*f/ln(F)/b/d^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+2*e^3*f*c/d^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
384,1,617,226,0.087000," ","int(F^(a+(d*x+c)^2*b)*(f*x+e)^3,x)","\frac{f^{3} x^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}-\frac{c \,f^{3} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{3} \ln \left(F \right)}+\frac{3 e \,f^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}+\frac{\sqrt{\pi}\, c^{3} f^{3} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{4}}-\frac{3 \sqrt{\pi}\, c^{2} e \,f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{3}}+\frac{3 \sqrt{\pi}\, c \,e^{2} f \,F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{2}}-\frac{\sqrt{\pi}\, e^{3} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d}+\frac{c^{2} f^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{4} \ln \left(F \right)}-\frac{3 c e \,f^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{3} \ln \left(F \right)}+\frac{3 e^{2} f \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}-\frac{3 \sqrt{\pi}\, c \,f^{3} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{4 \sqrt{-b \ln \left(F \right)}\, b \,d^{4} \ln \left(F \right)}+\frac{3 \sqrt{\pi}\, e \,f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{4 \sqrt{-b \ln \left(F \right)}\, b \,d^{3} \ln \left(F \right)}-\frac{f^{3} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b^{2} d^{4} \ln \left(F \right)^{2}}"," ",0,"-1/2*e^3*Pi^(1/2)*F^a/d/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+1/2*f^3/ln(F)/b/d^2*x^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*f^3*c/d^3/ln(F)/b*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f^3*c^2/d^4/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f^3*c^3/d^4*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-3/4*f^3*c/d^4/ln(F)/b*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)-1/2*f^3/ln(F)^2/b^2/d^4*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3/2*e*f^2/ln(F)/b/d^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3/2*e*f^2*c/d^3/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-3/2*e*f^2*c^2/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+3/4*e*f^2/ln(F)/b/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+3/2*e^2*f/ln(F)/b/d^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+3/2*e^2*f*c/d^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
385,1,324,144,0.079000," ","int(F^(a+(d*x+c)^2*b)*(f*x+e)^2,x)","\frac{f^{2} x \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}-\frac{\sqrt{\pi}\, c^{2} f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{3}}+\frac{\sqrt{\pi}\, c e f \,F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{\sqrt{-b \ln \left(F \right)}\, d^{2}}-\frac{\sqrt{\pi}\, e^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d}-\frac{c \,f^{2} F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{3} \ln \left(F \right)}+\frac{e f \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{b \,d^{2} \ln \left(F \right)}+\frac{\sqrt{\pi}\, f^{2} F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{4 \sqrt{-b \ln \left(F \right)}\, b \,d^{3} \ln \left(F \right)}"," ",0,"-1/2*e^2*Pi^(1/2)*F^a/d/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+1/2*f^2/ln(F)/b/d^2*x*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*f^2*c/d^3/ln(F)/b*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a-1/2*f^2*c^2/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+1/4*f^2/ln(F)/b/d^3*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+e*f/ln(F)/b/d^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+e*f*c/d^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","B"
386,1,132,67,0.066000," ","int(F^(a+(d*x+c)^2*b)*(f*x+e),x)","\frac{\sqrt{\pi}\, c f \,F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d^{2}}-\frac{\sqrt{\pi}\, e \,F^{a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d}+\frac{f \,F^{a} F^{b \,c^{2}} F^{b \,d^{2} x^{2}} F^{2 b c d x}}{2 b \,d^{2} \ln \left(F \right)}"," ",0,"-1/2*e*Pi^(1/2)*F^a/d/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)+1/2*f/ln(F)/b/d^2*F^(b*d^2*x^2)*F^(2*b*c*d*x)*F^(b*c^2)*F^a+1/2*f*c/d^2*Pi^(1/2)*F^a/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","A"
387,1,58,32,0.019000," ","int(F^(a+(d*x+c)^2*b),x)","-\frac{\sqrt{\pi}\, F^{-b \,c^{2}} F^{b \,c^{2}+a} \erf \left(\frac{b c \ln \left(F \right)}{\sqrt{-b \ln \left(F \right)}}-\sqrt{-b \ln \left(F \right)}\, d x \right)}{2 \sqrt{-b \ln \left(F \right)}\, d}"," ",0,"-1/2*Pi^(1/2)*F^(b*c^2+a)*F^(-b*c^2)/d/(-b*ln(F))^(1/2)*erf(1/(-b*ln(F))^(1/2)*b*c*ln(F)-(-b*ln(F))^(1/2)*d*x)","A"
388,0,0,23,0.102000," ","int(F^(a+(d*x+c)^2*b)/(f*x+e),x)","\int \frac{F^{a +\left(d x +c \right)^{2} b}}{f x +e}\, dx"," ",0,"int(F^(a+(d*x+c)^2*b)/(f*x+e),x)","F"
389,0,0,98,0.101000," ","int(F^(a+(d*x+c)^2*b)/(f*x+e)^2,x)","\int \frac{F^{a +\left(d x +c \right)^{2} b}}{\left(f x +e \right)^{2}}\, dx"," ",0,"int(F^(a+(d*x+c)^2*b)/(f*x+e)^2,x)","F"
390,0,0,186,0.097000," ","int(F^(a+(d*x+c)^2*b)/(f*x+e)^3,x)","\int \frac{F^{a +\left(d x +c \right)^{2} b}}{\left(f x +e \right)^{3}}\, dx"," ",0,"int(F^(a+(d*x+c)^2*b)/(f*x+e)^3,x)","F"
391,0,0,160,0.095000," ","int(exp(e*(d*x+c)^3)*(b*x+a)^3,x)","\int \left(b x +a \right)^{3} {\mathrm e}^{\left(d x +c \right)^{3} e}\, dx"," ",0,"int(exp(e*(d*x+c)^3)*(b*x+a)^3,x)","F"
392,0,0,111,0.095000," ","int(exp((d*x+c)^3*e)*(b*x+a)^2,x)","\int \left(b x +a \right)^{2} {\mathrm e}^{\left(d x +c \right)^{3} e}\, dx"," ",0,"int(exp((d*x+c)^3*e)*(b*x+a)^2,x)","F"
393,0,0,80,0.052000," ","int(exp((d*x+c)^3*e)*(b*x+a),x)","\int \left(b x +a \right) {\mathrm e}^{\left(d x +c \right)^{3} e}\, dx"," ",0,"int(exp((d*x+c)^3*e)*(b*x+a),x)","F"
394,0,0,34,0.031000," ","int(exp((d*x+c)^3*e),x)","\int {\mathrm e}^{\left(d x +c \right)^{3} e}\, dx"," ",0,"int(exp((d*x+c)^3*e),x)","F"
395,0,0,20,0.101000," ","int(exp((d*x+c)^3*e)/(b*x+a),x)","\int \frac{{\mathrm e}^{\left(d x +c \right)^{3} e}}{b x +a}\, dx"," ",0,"int(exp((d*x+c)^3*e)/(b*x+a),x)","F"
396,0,0,142,0.102000," ","int(exp((d*x+c)^3*e)/(b*x+a)^2,x)","\int \frac{{\mathrm e}^{\left(d x +c \right)^{3} e}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int(exp((d*x+c)^3*e)/(b*x+a)^2,x)","F"
397,1,106,71,0.196000," ","int(F^(a+1/(d*x+c)*b)/(f*x+e),x)","\frac{F^{a} \Ei \left(1, -\frac{b \ln \left(F \right)}{d x +c}\right)}{f}-\frac{F^{\frac{a c f -a d e +b f}{c f -d e}} \Ei \left(1, -a \ln \left(F \right)-\frac{b \ln \left(F \right)}{d x +c}-\frac{-a c f \ln \left(F \right)+a d e \ln \left(F \right)-b f \ln \left(F \right)}{c f -d e}\right)}{f}"," ",0,"1/f*F^a*Ei(1,-1/(d*x+c)*b*ln(F))-1/f*F^((a*c*f-a*d*e+b*f)/(c*f-d*e))*Ei(1,-1/(d*x+c)*b*ln(F)-a*ln(F)-(-ln(F)*a*c*f+ln(F)*a*d*e-ln(F)*b*f)/(c*f-d*e))","A"
398,1,191,116,0.168000," ","int(F^(a+1/(d*x+c)*b)/(f*x+e)^2,x)","\frac{b d \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{\left(c f -d e \right)^{2} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)}+\frac{b d \,F^{\frac{a c f -a d e +b f}{c f -d e}} \Ei \left(1, -a \ln \left(F \right)-\frac{b \ln \left(F \right)}{d x +c}-\frac{-a c f \ln \left(F \right)+a d e \ln \left(F \right)-b f \ln \left(F \right)}{c f -d e}\right) \ln \left(F \right)}{\left(c f -d e \right)^{2}}"," ",0,"d*ln(F)*b/(c*f-d*e)^2*F^a*F^(1/(d*x+c)*b)/(1/(d*x+c)*b*ln(F)+a*ln(F)-1/(c*f-d*e)*ln(F)*a*c*f+1/(c*f-d*e)*ln(F)*a*d*e-1/(c*f-d*e)*ln(F)*b*f)+d*ln(F)*b/(c*f-d*e)^2*F^((a*c*f-a*d*e+b*f)/(c*f-d*e))*Ei(1,-a*ln(F)-1/(d*x+c)*b*ln(F)-(-a*c*f*ln(F)+a*d*e*ln(F)-b*f*ln(F))/(c*f-d*e))","A"
399,1,506,257,0.189000," ","int(F^(a+1/(d*x+c)*b)/(f*x+e)^3,x)","-\frac{b^{2} d^{2} f \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{2 \left(c f -d e \right)^{4} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)^{2}}-\frac{b^{2} d^{2} f \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{2 \left(c f -d e \right)^{4} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)}-\frac{b^{2} d^{2} f \,F^{\frac{a c f -a d e +b f}{c f -d e}} \Ei \left(1, -a \ln \left(F \right)-\frac{b \ln \left(F \right)}{d x +c}-\frac{-a c f \ln \left(F \right)+a d e \ln \left(F \right)-b f \ln \left(F \right)}{c f -d e}\right) \ln \left(F \right)^{2}}{2 \left(c f -d e \right)^{4}}-\frac{b \,d^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{\left(c f -d e \right)^{3} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)}-\frac{b \,d^{2} F^{\frac{a c f -a d e +b f}{c f -d e}} \Ei \left(1, -a \ln \left(F \right)-\frac{b \ln \left(F \right)}{d x +c}-\frac{-a c f \ln \left(F \right)+a d e \ln \left(F \right)-b f \ln \left(F \right)}{c f -d e}\right) \ln \left(F \right)}{\left(c f -d e \right)^{3}}"," ",0,"-b*d^2*ln(F)/(c*f-d*e)^3*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))-b*d^2*ln(F)/(c*f-d*e)^3*F^((a*c*f-a*d*e+b*f)/(c*f-d*e))*Ei(1,-a*ln(F)-1/(d*x+c)*b*ln(F)-(-a*c*f*ln(F)+a*d*e*ln(F)-b*f*ln(F))/(c*f-d*e))-1/2*b^2*d^2*ln(F)^2*f/(c*f-d*e)^4*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))^2-1/2*b^2*d^2*ln(F)^2*f/(c*f-d*e)^4*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))-1/2*b^2*d^2*ln(F)^2*f/(c*f-d*e)^4*F^((a*c*f-a*d*e+b*f)/(c*f-d*e))*Ei(1,-a*ln(F)-1/(d*x+c)*b*ln(F)-(-a*c*f*ln(F)+a*d*e*ln(F)-b*f*ln(F))/(c*f-d*e))","A"
400,1,922,444,0.225000," ","int(F^(a+1/(d*x+c)*b)/(f*x+e)^4,x)","\frac{b^{3} d^{3} f^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{3 \left(c f -d e \right)^{6} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)^{3}}+\frac{b^{3} d^{3} f^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{6 \left(c f -d e \right)^{6} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)^{2}}+\frac{b^{3} d^{3} f^{2} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{3}}{6 \left(c f -d e \right)^{6} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)}+\frac{b^{3} d^{3} f^{2} F^{\frac{a c f -a d e +b f}{c f -d e}} \Ei \left(1, -a \ln \left(F \right)-\frac{b \ln \left(F \right)}{d x +c}-\frac{-a c f \ln \left(F \right)+a d e \ln \left(F \right)-b f \ln \left(F \right)}{c f -d e}\right) \ln \left(F \right)^{3}}{6 \left(c f -d e \right)^{6}}+\frac{b^{2} d^{3} f \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{\left(c f -d e \right)^{5} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)^{2}}+\frac{b^{2} d^{3} f \,F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)^{2}}{\left(c f -d e \right)^{5} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)}+\frac{b^{2} d^{3} f \,F^{\frac{a c f -a d e +b f}{c f -d e}} \Ei \left(1, -a \ln \left(F \right)-\frac{b \ln \left(F \right)}{d x +c}-\frac{-a c f \ln \left(F \right)+a d e \ln \left(F \right)-b f \ln \left(F \right)}{c f -d e}\right) \ln \left(F \right)^{2}}{\left(c f -d e \right)^{5}}+\frac{b \,d^{3} F^{a} F^{\frac{b}{d x +c}} \ln \left(F \right)}{\left(c f -d e \right)^{4} \left(-\frac{a c f \ln \left(F \right)}{c f -d e}+\frac{a d e \ln \left(F \right)}{c f -d e}-\frac{b f \ln \left(F \right)}{c f -d e}+a \ln \left(F \right)+\frac{b \ln \left(F \right)}{d x +c}\right)}+\frac{b \,d^{3} F^{\frac{a c f -a d e +b f}{c f -d e}} \Ei \left(1, -a \ln \left(F \right)-\frac{b \ln \left(F \right)}{d x +c}-\frac{-a c f \ln \left(F \right)+a d e \ln \left(F \right)-b f \ln \left(F \right)}{c f -d e}\right) \ln \left(F \right)}{\left(c f -d e \right)^{4}}"," ",0,"b*d^3*ln(F)/(c*f-d*e)^4*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))+b*d^3*ln(F)/(c*f-d*e)^4*F^((a*c*f-a*d*e+b*f)/(c*f-d*e))*Ei(1,-a*ln(F)-1/(d*x+c)*b*ln(F)-(-a*c*f*ln(F)+a*d*e*ln(F)-b*f*ln(F))/(c*f-d*e))+b^2*d^3*ln(F)^2*f/(c*f-d*e)^5*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))^2+b^2*d^3*ln(F)^2*f/(c*f-d*e)^5*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))+b^2*d^3*ln(F)^2*f/(c*f-d*e)^5*F^((a*c*f-a*d*e+b*f)/(c*f-d*e))*Ei(1,-a*ln(F)-1/(d*x+c)*b*ln(F)-(-a*c*f*ln(F)+a*d*e*ln(F)-b*f*ln(F))/(c*f-d*e))+1/3*b^3*d^3*ln(F)^3*f^2/(c*f-d*e)^6*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))^3+1/6*b^3*d^3*ln(F)^3*f^2/(c*f-d*e)^6*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))^2+1/6*b^3*d^3*ln(F)^3*f^2/(c*f-d*e)^6*F^a*F^(1/(d*x+c)*b)/(-1/(c*f-d*e)*a*c*f*ln(F)+1/(c*f-d*e)*a*d*e*ln(F)-1/(c*f-d*e)*b*f*ln(F)+a*ln(F)+1/(d*x+c)*b*ln(F))+1/6*b^3*d^3*ln(F)^3*f^2/(c*f-d*e)^6*F^((a*c*f-a*d*e+b*f)/(c*f-d*e))*Ei(1,-a*ln(F)-1/(d*x+c)*b*ln(F)-(-a*c*f*ln(F)+a*d*e*ln(F)-b*f*ln(F))/(c*f-d*e))","B"
401,1,1146,347,0.023000," ","int(exp(e/(d*x+c))*(b*x+a)^4,x)","-\frac{\left(\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a^{4}-\frac{4 \left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a^{3} b c}{d}+\frac{4 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) a^{3} b e}{d}+\frac{6 \left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a^{2} b^{2} c^{2}}{d^{2}}-\frac{12 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) a^{2} b^{2} c e}{d^{2}}+\frac{6 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{6}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{6 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{6 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{3 e^{3}}\right) a^{2} b^{2} e^{2}}{d^{2}}-\frac{4 \left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a \,b^{3} c^{3}}{d^{3}}+\frac{12 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) a \,b^{3} c^{2} e}{d^{3}}-\frac{12 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{6}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{6 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{6 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{3 e^{3}}\right) a \,b^{3} c \,e^{2}}{d^{3}}+\frac{4 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{24}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{24 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{24 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{12 e^{3}}-\frac{\left(d x +c \right)^{4} {\mathrm e}^{\frac{e}{d x +c}}}{4 e^{4}}\right) a \,b^{3} e^{3}}{d^{3}}+\frac{\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) b^{4} c^{4}}{d^{4}}-\frac{4 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) b^{4} c^{3} e}{d^{4}}+\frac{6 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{6}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{6 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{6 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{3 e^{3}}\right) b^{4} c^{2} e^{2}}{d^{4}}-\frac{4 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{24}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{24 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{24 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{12 e^{3}}-\frac{\left(d x +c \right)^{4} {\mathrm e}^{\frac{e}{d x +c}}}{4 e^{4}}\right) b^{4} c \,e^{3}}{d^{4}}+\frac{\left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{120}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{120 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{120 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{60 e^{3}}-\frac{\left(d x +c \right)^{4} {\mathrm e}^{\frac{e}{d x +c}}}{20 e^{4}}-\frac{\left(d x +c \right)^{5} {\mathrm e}^{\frac{e}{d x +c}}}{5 e^{5}}\right) b^{4} e^{4}}{d^{4}}\right) e}{d}"," ",0,"-1/d*e*(a^4*(-(d*x+c)/e*exp(e/(d*x+c))-Ei(1,-e/(d*x+c)))+b^4/d^4*e^4*(-1/5*(d*x+c)^5/e^5*exp(e/(d*x+c))-1/20*(d*x+c)^4/e^4*exp(e/(d*x+c))-1/60*(d*x+c)^3/e^3*exp(e/(d*x+c))-1/120*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/120*(d*x+c)/e*exp(e/(d*x+c))-1/120*Ei(1,-e/(d*x+c)))+b^4*c^4/d^4*(-(d*x+c)/e*exp(e/(d*x+c))-Ei(1,-e/(d*x+c)))+4*b^3/d^3*e^3*a*(-1/4*(d*x+c)^4/e^4*exp(e/(d*x+c))-1/12*(d*x+c)^3/e^3*exp(e/(d*x+c))-1/24*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/24*(d*x+c)/e*exp(e/(d*x+c))-1/24*Ei(1,-e/(d*x+c)))-4*b^4/d^4*e^3*c*(-1/4*(d*x+c)^4/e^4*exp(e/(d*x+c))-1/12*(d*x+c)^3/e^3*exp(e/(d*x+c))-1/24*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/24*(d*x+c)/e*exp(e/(d*x+c))-1/24*Ei(1,-e/(d*x+c)))+6*b^2/d^2*e^2*a^2*(-1/3*(d*x+c)^3/e^3*exp(e/(d*x+c))-1/6*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/6*(d*x+c)/e*exp(e/(d*x+c))-1/6*Ei(1,-e/(d*x+c)))+6*b^4/d^4*e^2*c^2*(-1/3*(d*x+c)^3/e^3*exp(e/(d*x+c))-1/6*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/6*(d*x+c)/e*exp(e/(d*x+c))-1/6*Ei(1,-e/(d*x+c)))+4*b/d*e*a^3*(-1/2*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/2*(d*x+c)/e*exp(e/(d*x+c))-1/2*Ei(1,-e/(d*x+c)))-4*b^4/d^4*e*c^3*(-1/2*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/2*(d*x+c)/e*exp(e/(d*x+c))-1/2*Ei(1,-e/(d*x+c)))-4*b*c/d*a^3*(-(d*x+c)/e*exp(e/(d*x+c))-Ei(1,-e/(d*x+c)))+6*b^2*c^2/d^2*a^2*(-(d*x+c)/e*exp(e/(d*x+c))-Ei(1,-e/(d*x+c)))-4*b^3*c^3/d^3*a*(-(d*x+c)/e*exp(e/(d*x+c))-Ei(1,-e/(d*x+c)))-12*b^3/d^3*e^2*c*a*(-1/3*(d*x+c)^3/e^3*exp(e/(d*x+c))-1/6*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/6*(d*x+c)/e*exp(e/(d*x+c))-1/6*Ei(1,-e/(d*x+c)))-12*b^2/d^2*e*c*a^2*(-1/2*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/2*(d*x+c)/e*exp(e/(d*x+c))-1/2*Ei(1,-e/(d*x+c)))+12*b^3/d^3*e*c^2*a*(-1/2*exp(e/(d*x+c))*(d*x+c)^2/e^2-1/2*(d*x+c)/e*exp(e/(d*x+c))-1/2*Ei(1,-e/(d*x+c))))","B"
402,1,682,306,0.021000," ","int(exp(1/(d*x+c)*e)*(b*x+a)^3,x)","-\frac{\left(\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a^{3}-\frac{3 \left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a^{2} b c}{d}+\frac{3 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) a^{2} b e}{d}+\frac{3 \left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a \,b^{2} c^{2}}{d^{2}}-\frac{6 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) a \,b^{2} c e}{d^{2}}+\frac{3 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{6}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{6 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{6 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{3 e^{3}}\right) a \,b^{2} e^{2}}{d^{2}}-\frac{\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) b^{3} c^{3}}{d^{3}}+\frac{3 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) b^{3} c^{2} e}{d^{3}}-\frac{3 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{6}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{6 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{6 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{3 e^{3}}\right) b^{3} c \,e^{2}}{d^{3}}+\frac{\left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{24}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{24 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{24 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{12 e^{3}}-\frac{\left(d x +c \right)^{4} {\mathrm e}^{\frac{e}{d x +c}}}{4 e^{4}}\right) b^{3} e^{3}}{d^{3}}\right) e}{d}"," ",0,"-1/d*e*(a^3*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))+b^3/d^3*e^3*(-1/4*(d*x+c)^4/e^4*exp(1/(d*x+c)*e)-1/12*(d*x+c)^3/e^3*exp(1/(d*x+c)*e)-1/24*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/24*(d*x+c)/e*exp(1/(d*x+c)*e)-1/24*Ei(1,-1/(d*x+c)*e))-b^3*c^3/d^3*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))+3*b^2/d^2*e^2*a*(-1/3*(d*x+c)^3/e^3*exp(1/(d*x+c)*e)-1/6*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/6*(d*x+c)/e*exp(1/(d*x+c)*e)-1/6*Ei(1,-1/(d*x+c)*e))-3*b^3/d^3*e^2*c*(-1/3*(d*x+c)^3/e^3*exp(1/(d*x+c)*e)-1/6*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/6*(d*x+c)/e*exp(1/(d*x+c)*e)-1/6*Ei(1,-1/(d*x+c)*e))+3*b/d*e*a^2*(-1/2*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/2*(d*x+c)/e*exp(1/(d*x+c)*e)-1/2*Ei(1,-1/(d*x+c)*e))+3*b^3/d^3*e*c^2*(-1/2*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/2*(d*x+c)/e*exp(1/(d*x+c)*e)-1/2*Ei(1,-1/(d*x+c)*e))-3*b*c/d*a^2*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))+3*b^2*c^2/d^2*a*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))-6*b^2/d^2*e*c*a*(-1/2*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/2*(d*x+c)/e*exp(1/(d*x+c)*e)-1/2*Ei(1,-1/(d*x+c)*e)))","B"
403,1,356,241,0.018000," ","int(exp(1/(d*x+c)*e)*(b*x+a)^2,x)","-\frac{\left(\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a^{2}-\frac{2 \left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a b c}{d}+\frac{2 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) a b e}{d}+\frac{\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) b^{2} c^{2}}{d^{2}}-\frac{2 \left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) b^{2} c e}{d^{2}}+\frac{\left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{6}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{6 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{6 e^{2}}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{d x +c}}}{3 e^{3}}\right) b^{2} e^{2}}{d^{2}}\right) e}{d}"," ",0,"-1/d*e*(a^2*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))+b^2/d^2*e^2*(-1/3*(d*x+c)^3/e^3*exp(1/(d*x+c)*e)-1/6*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/6*(d*x+c)/e*exp(1/(d*x+c)*e)-1/6*Ei(1,-1/(d*x+c)*e))+b^2*c^2/d^2*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))+2*b/d*e*a*(-1/2*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/2*(d*x+c)/e*exp(1/(d*x+c)*e)-1/2*Ei(1,-1/(d*x+c)*e))-2*b^2/d^2*e*c*(-1/2*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/2*(d*x+c)/e*exp(1/(d*x+c)*e)-1/2*Ei(1,-1/(d*x+c)*e))-2*b*c/d*a*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e)))","A"
404,1,150,116,0.015000," ","int(exp(1/(d*x+c)*e)*(b*x+a),x)","-\frac{\left(\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) a -\frac{\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) b c}{d}+\frac{\left(-\frac{\Ei \left(1, -\frac{e}{d x +c}\right)}{2}-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{2 e}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{d x +c}}}{2 e^{2}}\right) b e}{d}\right) e}{d}"," ",0,"-1/d*e*(a*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))+b/d*e*(-1/2*(d*x+c)^2/e^2*exp(1/(d*x+c)*e)-1/2*(d*x+c)/e*exp(1/(d*x+c)*e)-1/2*Ei(1,-1/(d*x+c)*e))-b*c/d*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e)))","A"
405,1,42,36,0.012000," ","int(exp(1/(d*x+c)*e),x)","-\frac{\left(-\Ei \left(1, -\frac{e}{d x +c}\right)-\frac{\left(d x +c \right) {\mathrm e}^{\frac{e}{d x +c}}}{e}\right) e}{d}"," ",0,"-1/d*e*(-(d*x+c)/e*exp(1/(d*x+c)*e)-Ei(1,-1/(d*x+c)*e))","A"
406,1,79,61,0.023000," ","int(exp(1/(d*x+c)*e)/(b*x+a),x)","-\frac{\left(\frac{d \Ei \left(1, -\frac{b e}{a d -b c}-\frac{e}{d x +c}\right) {\mathrm e}^{-\frac{b e}{a d -b c}}}{b e}-\frac{d \Ei \left(1, -\frac{e}{d x +c}\right)}{b e}\right) e}{d}"," ",0,"-1/d*e*(d/b/e*exp(-b*e/(a*d-b*c))*Ei(1,-1/(d*x+c)*e-b*e/(a*d-b*c))-d/b/e*Ei(1,-1/(d*x+c)*e))","A"
407,1,97,104,0.020000," ","int(exp(1/(d*x+c)*e)/(b*x+a)^2,x)","-\frac{\left(-\Ei \left(1, -\frac{b e}{a d -b c}-\frac{e}{d x +c}\right) {\mathrm e}^{-\frac{b e}{a d -b c}}-\frac{{\mathrm e}^{\frac{e}{d x +c}}}{\frac{b e}{a d -b c}+\frac{e}{d x +c}}\right) d e}{\left(a d -b c \right)^{2}}"," ",0,"-d*e/(a*d-b*c)^2*(-exp(1/(d*x+c)*e)/(1/(d*x+c)*e+1/(a*d-b*c)*b*e)-exp(-1/(a*d-b*c)*b*e)*Ei(1,-1/(a*d-b*c)*b*e-1/(d*x+c)*e))","A"
408,1,240,224,0.022000," ","int(exp(1/(d*x+c)*e)/(b*x+a)^3,x)","-\frac{\left(-\frac{\left(-\frac{\Ei \left(1, -\frac{b e}{a d -b c}-\frac{e}{d x +c}\right) {\mathrm e}^{-\frac{b e}{a d -b c}}}{2}-\frac{{\mathrm e}^{\frac{e}{d x +c}}}{2 \left(\frac{b e}{a d -b c}+\frac{e}{d x +c}\right)^{2}}-\frac{{\mathrm e}^{\frac{e}{d x +c}}}{2 \left(\frac{b e}{a d -b c}+\frac{e}{d x +c}\right)}\right) b \,d^{3} e}{\left(a d -b c \right)^{4}}+\frac{\left(-\Ei \left(1, -\frac{b e}{a d -b c}-\frac{e}{d x +c}\right) {\mathrm e}^{-\frac{b e}{a d -b c}}-\frac{{\mathrm e}^{\frac{e}{d x +c}}}{\frac{b e}{a d -b c}+\frac{e}{d x +c}}\right) d^{3}}{\left(a d -b c \right)^{3}}\right) e}{d}"," ",0,"-1/d*e*(-1/(a*d-b*c)^4*b*e*d^3*(-1/2*exp(1/(d*x+c)*e)/(1/(a*d-b*c)*b*e+1/(d*x+c)*e)^2-1/2/(1/(a*d-b*c)*b*e+1/(d*x+c)*e)*exp(1/(d*x+c)*e)-1/2*exp(-1/(a*d-b*c)*b*e)*Ei(1,-1/(a*d-b*c)*b*e-1/(d*x+c)*e))+d^3/(a*d-b*c)^3*(-1/(1/(a*d-b*c)*b*e+1/(d*x+c)*e)*exp(1/(d*x+c)*e)-exp(-1/(a*d-b*c)*b*e)*Ei(1,-1/(a*d-b*c)*b*e-1/(d*x+c)*e)))","A"
409,1,560,294,0.030000," ","int(exp(e/(d*x+c)^2)*(b*x+a)^3,x)","-\frac{\left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) a^{3}-\frac{3 \left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) a^{2} b c}{d}+\frac{3 \left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) a \,b^{2} c^{2}}{d^{2}}-\frac{\left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) b^{3} c^{3}}{d^{3}}+\frac{3 \left(-\frac{e \Ei \left(1, -\frac{e}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{2}\right) a^{2} b}{d}-\frac{6 \left(-\frac{e \Ei \left(1, -\frac{e}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{2}\right) a \,b^{2} c}{d^{2}}+\frac{3 \left(-\frac{e \Ei \left(1, -\frac{e}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{2}\right) b^{3} c^{2}}{d^{3}}+\frac{3 \left(\frac{2 \left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) e}{3}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{3}\right) a \,b^{2}}{d^{2}}-\frac{3 \left(\frac{2 \left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) e}{3}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{3}\right) b^{3} c}{d^{3}}+\frac{\left(\frac{\left(-\frac{e \Ei \left(1, -\frac{e}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{2}\right) e}{2}-\frac{\left(d x +c \right)^{4} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{4}\right) b^{3}}{d^{3}}}{d}"," ",0,"-1/d*(a^3*(-(d*x+c)*exp(e/(d*x+c)^2)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c)))+b^3/d^3*(-1/4*(d*x+c)^4*exp(e/(d*x+c)^2)+1/2*e*(-1/2*exp(e/(d*x+c)^2)*(d*x+c)^2-1/2*e*Ei(1,-e/(d*x+c)^2)))+3*b^2/d^2*a*(-1/3*(d*x+c)^3*exp(e/(d*x+c)^2)+2/3*e*(-(d*x+c)*exp(e/(d*x+c)^2)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c))))-3*b^3/d^3*c*(-1/3*(d*x+c)^3*exp(e/(d*x+c)^2)+2/3*e*(-(d*x+c)*exp(e/(d*x+c)^2)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c))))+3*b/d*a^2*(-1/2*exp(e/(d*x+c)^2)*(d*x+c)^2-1/2*e*Ei(1,-e/(d*x+c)^2))+3*b^3/d^3*c^2*(-1/2*exp(e/(d*x+c)^2)*(d*x+c)^2-1/2*e*Ei(1,-e/(d*x+c)^2))-b^3*c^3/d^3*(-(d*x+c)*exp(e/(d*x+c)^2)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c)))-6*b^2/d^2*c*a*(-1/2*exp(e/(d*x+c)^2)*(d*x+c)^2-1/2*e*Ei(1,-e/(d*x+c)^2))-3*b*c/d*a^2*(-(d*x+c)*exp(e/(d*x+c)^2)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c)))+3*b^2*c^2/d^2*a*(-(d*x+c)*exp(e/(d*x+c)^2)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c))))","A"
410,1,313,193,0.025000," ","int(exp(1/(d*x+c)^2*e)*(b*x+a)^2,x)","-\frac{\left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) a^{2}-\frac{2 \left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) a b c}{d}+\frac{\left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) b^{2} c^{2}}{d^{2}}+\frac{2 \left(-\frac{e \Ei \left(1, -\frac{e}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{2}\right) a b}{d}-\frac{2 \left(-\frac{e \Ei \left(1, -\frac{e}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{2}\right) b^{2} c}{d^{2}}+\frac{\left(\frac{2 \left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) e}{3}-\frac{\left(d x +c \right)^{3} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{3}\right) b^{2}}{d^{2}}}{d}"," ",0,"-1/d*(a^2*(-(d*x+c)*exp(1/(d*x+c)^2*e)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c)))+b^2/d^2*(-1/3*(d*x+c)^3*exp(1/(d*x+c)^2*e)+2/3*e*(-(d*x+c)*exp(1/(d*x+c)^2*e)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c))))+b^2*c^2/d^2*(-(d*x+c)*exp(1/(d*x+c)^2*e)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c)))+2*b/d*a*(-1/2*(d*x+c)^2*exp(1/(d*x+c)^2*e)-1/2*e*Ei(1,-1/(d*x+c)^2*e))-2*b^2/d^2*c*(-1/2*(d*x+c)^2*exp(1/(d*x+c)^2*e)-1/2*e*Ei(1,-1/(d*x+c)^2*e))-2*b*c/d*a*(-(d*x+c)*exp(1/(d*x+c)^2*e)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c))))","A"
411,1,140,99,0.021000," ","int(exp(1/(d*x+c)^2*e)*(b*x+a),x)","-\frac{\left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) a -\frac{\left(\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}\right) b c}{d}+\frac{\left(-\frac{e \Ei \left(1, -\frac{e}{\left(d x +c \right)^{2}}\right)}{2}-\frac{\left(d x +c \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{2}\right) b}{d}}{d}"," ",0,"-1/d*(a*(-(d*x+c)*exp(1/(d*x+c)^2*e)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c)))+b/d*(-1/2*(d*x+c)^2*exp(1/(d*x+c)^2*e)-1/2*e*Ei(1,-1/(d*x+c)^2*e))-b*c/d*(-(d*x+c)*exp(1/(d*x+c)^2*e)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c))))","A"
412,1,48,43,0.018000," ","int(exp(1/(d*x+c)^2*e),x)","-\frac{\frac{\sqrt{\pi}\, e \erf \left(\frac{\sqrt{-e}}{d x +c}\right)}{\sqrt{-e}}-\left(d x +c \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{d}"," ",0,"-1/d*(-(d*x+c)*exp(1/(d*x+c)^2*e)+e*Pi^(1/2)/(-e)^(1/2)*erf((-e)^(1/2)/(d*x+c)))","A"
413,0,0,20,0.119000," ","int(exp(1/(d*x+c)^2*e)/(b*x+a),x)","\int \frac{{\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{b x +a}\, dx"," ",0,"int(exp(1/(d*x+c)^2*e)/(b*x+a),x)","F"
414,0,0,20,0.142000," ","int(exp(1/(d*x+c)^2*e)/(b*x+a)^2,x)","\int \frac{{\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int(exp(1/(d*x+c)^2*e)/(b*x+a)^2,x)","F"
415,0,0,20,0.197000," ","int(exp(1/(d*x+c)^2*e)/(b*x+a)^3,x)","\int \frac{{\mathrm e}^{\frac{e}{\left(d x +c \right)^{2}}}}{\left(b x +a \right)^{3}}\, dx"," ",0,"int(exp(1/(d*x+c)^2*e)/(b*x+a)^3,x)","F"
416,0,0,189,0.130000," ","int(exp(e/(d*x+c)^3)*(b*x+a)^3,x)","\int \left(b x +a \right)^{3} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(exp(e/(d*x+c)^3)*(b*x+a)^3,x)","F"
417,0,0,134,0.113000," ","int(exp(1/(d*x+c)^3*e)*(b*x+a)^2,x)","\int \left(b x +a \right)^{2} {\mathrm e}^{\frac{e}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(exp(1/(d*x+c)^3*e)*(b*x+a)^2,x)","F"
418,0,0,80,0.102000," ","int(exp(1/(d*x+c)^3*e)*(b*x+a),x)","\int \left(b x +a \right) {\mathrm e}^{\frac{e}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(exp(1/(d*x+c)^3*e)*(b*x+a),x)","F"
419,0,0,34,0.050000," ","int(exp(1/(d*x+c)^3*e),x)","\int {\mathrm e}^{\frac{e}{\left(d x +c \right)^{3}}}\, dx"," ",0,"int(exp(1/(d*x+c)^3*e),x)","F"
420,0,0,20,0.113000," ","int(exp(1/(d*x+c)^3*e)/(b*x+a),x)","\int \frac{{\mathrm e}^{\frac{e}{\left(d x +c \right)^{3}}}}{b x +a}\, dx"," ",0,"int(exp(1/(d*x+c)^3*e)/(b*x+a),x)","F"
421,0,0,20,0.118000," ","int(exp(1/(d*x+c)^3*e)/(b*x+a)^2,x)","\int \frac{{\mathrm e}^{\frac{e}{\left(d x +c \right)^{3}}}}{\left(b x +a \right)^{2}}\, dx"," ",0,"int(exp(1/(d*x+c)^3*e)/(b*x+a)^2,x)","F"
422,1,432,104,0.264000," ","int(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g),x)","\frac{a d \,F^{\frac{b f +d e}{d}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-b f \ln \left(F \right)-d e \ln \left(F \right)}{d}\right)}{\left(a d -b c \right) h}-\frac{a d \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right)}{\left(a d -b c \right) h}-\frac{b c \,F^{\frac{b f +d e}{d}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-b f \ln \left(F \right)-d e \ln \left(F \right)}{d}\right)}{\left(a d -b c \right) h}+\frac{b c \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right)}{\left(a d -b c \right) h}"," ",0,"d/h/(a*d-b*c)*F^((b*f+d*e)/d)*Ei(1,-f*(a*d-b*c)*ln(F)/d/(d*x+c)-(b*f+d*e)*ln(F)/d-(-b*f*ln(F)-d*e*ln(F))/d)*a-1/h/(a*d-b*c)*F^((b*f+d*e)/d)*Ei(1,-f*(a*d-b*c)*ln(F)/d/(d*x+c)-(b*f+d*e)*ln(F)/d-(-b*f*ln(F)-d*e*ln(F))/d)*b*c-d/h/(a*d-b*c)*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-f*(a*d-b*c)*ln(F)/d/(d*x+c)-(b*f+d*e)*ln(F)/d-(-ln(F)*a*f*h+ln(F)*b*f*g-ln(F)*c*e*h+ln(F)*d*e*g)/(c*h-d*g))*a+1/h/(a*d-b*c)*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-f*(a*d-b*c)*ln(F)/d/(d*x+c)-(b*f+d*e)*ln(F)/d-(-ln(F)*a*f*h+ln(F)*b*f*g-ln(F)*c*e*h+ln(F)*d*e*g)/(c*h-d*g))*b*c","B"
423,1,580,159,0.207000," ","int(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^2,x)","\frac{a d f \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)}{\left(c h -d g \right)^{2} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)}+\frac{a d f \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right) \ln \left(F \right)}{\left(c h -d g \right)^{2}}-\frac{b c f \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)}{\left(c h -d g \right)^{2} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)}-\frac{b c f \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right) \ln \left(F \right)}{\left(c h -d g \right)^{2}}"," ",0,"f*ln(F)/(c*h-d*g)^2*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(f*ln(F)/(d*x+c)*a-f*ln(F)/d/(d*x+c)*b*c+ln(F)/d*b*f+ln(F)*e-1/(c*h-d*g)*ln(F)*a*f*h+1/(c*h-d*g)*ln(F)*b*f*g-1/(c*h-d*g)*ln(F)*c*e*h+1/(c*h-d*g)*ln(F)*d*e*g)*a*d-f*ln(F)/(c*h-d*g)^2*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(f*ln(F)/(d*x+c)*a-f*ln(F)/d/(d*x+c)*b*c+ln(F)/d*b*f+ln(F)*e-1/(c*h-d*g)*ln(F)*a*f*h+1/(c*h-d*g)*ln(F)*b*f*g-1/(c*h-d*g)*ln(F)*c*e*h+1/(c*h-d*g)*ln(F)*d*e*g)*b*c+f*ln(F)/(c*h-d*g)^2*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a*d-f*ln(F)/(c*h-d*g)^2*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*b*c","B"
424,1,2014,356,0.246000," ","int(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^3,x)","-\frac{a^{2} d^{2} f^{2} h \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)^{2}}{2 \left(c h -d g \right)^{4} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)^{2}}-\frac{a^{2} d^{2} f^{2} h \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)^{2}}{2 \left(c h -d g \right)^{4} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)}-\frac{a^{2} d^{2} f^{2} h \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right) \ln \left(F \right)^{2}}{2 \left(c h -d g \right)^{4}}+\frac{a b c d \,f^{2} h \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)^{2}}{\left(c h -d g \right)^{4} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)^{2}}+\frac{a b c d \,f^{2} h \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)^{2}}{\left(c h -d g \right)^{4} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)}+\frac{a b c d \,f^{2} h \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right) \ln \left(F \right)^{2}}{\left(c h -d g \right)^{4}}-\frac{b^{2} c^{2} f^{2} h \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)^{2}}{2 \left(c h -d g \right)^{4} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)^{2}}-\frac{b^{2} c^{2} f^{2} h \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)^{2}}{2 \left(c h -d g \right)^{4} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)}-\frac{b^{2} c^{2} f^{2} h \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right) \ln \left(F \right)^{2}}{2 \left(c h -d g \right)^{4}}-\frac{a \,d^{2} f \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)}{\left(c h -d g \right)^{3} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)}-\frac{a \,d^{2} f \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right) \ln \left(F \right)}{\left(c h -d g \right)^{3}}+\frac{b c d f \,F^{\frac{b f +d e}{d}} F^{\frac{\left(a d -b c \right) f}{\left(d x +c \right) d}} \ln \left(F \right)}{\left(c h -d g \right)^{3} \left(-\frac{a f h \ln \left(F \right)}{c h -d g}+\frac{b f g \ln \left(F \right)}{c h -d g}-\frac{c e h \ln \left(F \right)}{c h -d g}+\frac{d e g \ln \left(F \right)}{c h -d g}+\frac{a f \ln \left(F \right)}{d x +c}-\frac{b c f \ln \left(F \right)}{\left(d x +c \right) d}+\frac{b f \ln \left(F \right)}{d}+e \ln \left(F \right)\right)}+\frac{b c d f \,F^{\frac{a f h -b f g +c e h -d e g}{c h -d g}} \Ei \left(1, -\frac{\left(a d -b c \right) f \ln \left(F \right)}{\left(d x +c \right) d}-\frac{\left(b f +d e \right) \ln \left(F \right)}{d}-\frac{-a f h \ln \left(F \right)+b f g \ln \left(F \right)-c e h \ln \left(F \right)+d e g \ln \left(F \right)}{c h -d g}\right) \ln \left(F \right)}{\left(c h -d g \right)^{3}}"," ",0,"-ln(F)*f*d^2/(c*h-d*g)^3*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a+ln(F)*f*d/(c*h-d*g)^3*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*b*c-ln(F)*f*d^2/(c*h-d*g)^3*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a+ln(F)*f*d/(c*h-d*g)^3*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*b*c-1/2*ln(F)^2*f^2*d^2*h/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*a^2+ln(F)^2*f^2*d*h/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*a*b*c-1/2*ln(F)^2*f^2*h/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*b^2*c^2-1/2*ln(F)^2*f^2*d^2*h/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a^2+ln(F)^2*f^2*d*h/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a*b*c-1/2*ln(F)^2*f^2*h/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*b^2*c^2-1/2*ln(F)^2*f^2*d^2*h/(c*h-d*g)^4*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a^2+ln(F)^2*f^2*d*h/(c*h-d*g)^4*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a*b*c-1/2*ln(F)^2*f^2*h/(c*h-d*g)^4*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*b^2*c^2","B"
425,1,4671,618,0.299000," ","int(F^(e+f*(b*x+a)/(d*x+c))/(h*x+g)^4,x)","\text{output too large to display}"," ",0,"-1/2*ln(F)^3*f^3*d^2*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*a^2*b*c+1/2*ln(F)^3*f^3*d*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*a*b^2*c^2-1/2*ln(F)^3*f^3*d^2*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a^2*b*c+1/2*ln(F)^3*f^3*d*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a*b^2*c^2-2*ln(F)^2*f^2*d^2*h/(c*h-d*g)^5*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*a*b*c-2*ln(F)^2*f^2*d^2*h/(c*h-d*g)^5*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a*b*c-ln(F)^3*f^3*d^2*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^3*a^2*b*c+ln(F)^3*f^3*d*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^3*a*b^2*c^2+1/3*ln(F)^3*f^3*d^3*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^3*a^3+1/6*ln(F)^3*f^3*d^3*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*a^3+1/6*ln(F)^3*f^3*d^3*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a^3-ln(F)*f*d^2/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*b*c+1/2*ln(F)^3*f^3*d*h^2/(c*h-d*g)^6*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a*b^2*c^2+ln(F)^2*f^2*d*h/(c*h-d*g)^5*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*b^2*c^2+ln(F)^2*f^2*d*h/(c*h-d*g)^5*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*b^2*c^2-2*ln(F)^2*f^2*d^2*h/(c*h-d*g)^5*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a*b*c-1/2*ln(F)^3*f^3*d^2*h^2/(c*h-d*g)^6*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a^2*b*c+ln(F)^2*f^2*d^3*h/(c*h-d*g)^5*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a^2+1/6*ln(F)^3*f^3*d^3*h^2/(c*h-d*g)^6*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a^3+ln(F)*f*d^3/(c*h-d*g)^4*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a-ln(F)*f*d^2/(c*h-d*g)^4*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*b*c-1/6*ln(F)^3*f^3*h^2/(c*h-d*g)^6*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*b^3*c^3+ln(F)*f*d^3/(c*h-d*g)^4*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*a+ln(F)^2*f^2*d^3*h/(c*h-d*g)^5*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*a^2+ln(F)^2*f^2*d^3*h/(c*h-d*g)^5*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*a^2+ln(F)^2*f^2*d*h/(c*h-d*g)^5*F^((a*f*h-b*f*g+c*e*h-d*e*g)/(c*h-d*g))*Ei(1,-(a*d-b*c)/(d*x+c)/d*f*ln(F)-(b*f+d*e)/d*ln(F)-(-a*f*h*ln(F)+b*f*g*ln(F)-c*e*h*ln(F)+d*e*g*ln(F))/(c*h-d*g))*b^2*c^2-1/3*ln(F)^3*f^3*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^3*b^3*c^3-1/6*ln(F)^3*f^3*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))^2*b^3*c^3-1/6*ln(F)^3*f^3*h^2/(c*h-d*g)^6*F^((b*f+d*e)/d)*F^((a*d-b*c)/(d*x+c)/d*f)/(-1/(c*h-d*g)*a*f*h*ln(F)+1/(c*h-d*g)*b*f*g*ln(F)-1/(c*h-d*g)*c*e*h*ln(F)+1/(c*h-d*g)*d*e*g*ln(F)+1/(d*x+c)*a*f*ln(F)-1/(d*x+c)*b*c/d*f*ln(F)+b/d*f*ln(F)+e*ln(F))*b^3*c^3","B"
426,1,218,177,0.113000," ","int(f^(c*x^2+b*x+a)*x^3,x)","\frac{\sqrt{\pi}\, b^{3} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{16 \sqrt{-c \ln \left(f \right)}\, c^{3}}+\frac{x^{2} f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}-\frac{b x \,f^{a} f^{b x} f^{c \,x^{2}}}{4 c^{2} \ln \left(f \right)}+\frac{b^{2} f^{a} f^{b x} f^{c \,x^{2}}}{8 c^{3} \ln \left(f \right)}-\frac{3 \sqrt{\pi}\, b \,f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{8 \sqrt{-c \ln \left(f \right)}\, c^{2} \ln \left(f \right)}-\frac{f^{a} f^{b x} f^{c \,x^{2}}}{2 c^{2} \ln \left(f \right)^{2}}"," ",0,"1/2/c/ln(f)*x^2*f^(c*x^2)*f^(b*x)*f^a-1/4*b/c^2/ln(f)*x*f^(c*x^2)*f^(b*x)*f^a+1/8*b^2/c^3/ln(f)*f^(c*x^2)*f^(b*x)*f^a+1/16*b^3/c^3*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*b*ln(f)/(-c*ln(f))^(1/2))-3/8*b/c^2/ln(f)*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(-(-c*ln(f))^(1/2)*x+1/2*b*ln(f)/(-c*ln(f))^(1/2))-1/2/c^2/ln(f)^2*f^(c*x^2)*f^(b*x)*f^a","A"
427,1,163,128,0.060000," ","int(f^(c*x^2+b*x+a)*x^2,x)","-\frac{\sqrt{\pi}\, b^{2} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{8 \sqrt{-c \ln \left(f \right)}\, c^{2}}+\frac{x \,f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}-\frac{b \,f^{a} f^{b x} f^{c \,x^{2}}}{4 c^{2} \ln \left(f \right)}+\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}\, c \ln \left(f \right)}"," ",0,"1/2/c/ln(f)*x*f^(c*x^2)*f^(b*x)*f^a-1/4*b/c^2/ln(f)*f^(c*x^2)*f^(b*x)*f^a-1/8*b^2/c^2*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+1/4/c/ln(f)*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","A"
428,1,79,63,0.053000," ","int(f^(c*x^2+b*x+a)*x,x)","\frac{\sqrt{\pi}\, b \,f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}\, c}+\frac{f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}"," ",0,"1/2/c/ln(f)*f^(c*x^2)*f^(b*x)*f^a+1/4*b/c*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","A"
429,1,50,40,0.049000," ","int(f^(c*x^2+b*x+a),x)","-\frac{\sqrt{\pi}\, f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{2 \sqrt{-c \ln \left(f \right)}}"," ",0,"-1/2*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","A"
430,0,0,18,0.033000," ","int(f^(c*x^2+b*x+a)/x,x)","\int \frac{f^{c \,x^{2}+b x +a}}{x}\, dx"," ",0,"int(f^(c*x^2+b*x+a)/x,x)","F"
431,0,0,79,0.042000," ","int(f^(c*x^2+b*x+a)/x^2,x)","\int \frac{f^{c \,x^{2}+b x +a}}{x^{2}}\, dx"," ",0,"int(f^(c*x^2+b*x+a)/x^2,x)","F"
432,1,194,143,0.018000," ","int(exp(-c*x^2+b*x+a)*x^3,x)","-\frac{x^{2} {\mathrm e}^{-c \,x^{2}+b x +a}}{2 c}+\frac{\left(-\frac{x \,{\mathrm e}^{-c \,x^{2}+b x +a}}{2 c}-\frac{\sqrt{\pi}\, \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right) {\mathrm e}^{a +\frac{b^{2}}{4 c}}}{4 c^{\frac{3}{2}}}+\frac{\left(-\frac{\sqrt{\pi}\, b \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right) {\mathrm e}^{a +\frac{b^{2}}{4 c}}}{4 c^{\frac{3}{2}}}-\frac{{\mathrm e}^{-c \,x^{2}+b x +a}}{2 c}\right) b}{2 c}\right) b}{2 c}+\frac{-\frac{\sqrt{\pi}\, b \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right) {\mathrm e}^{a +\frac{b^{2}}{4 c}}}{4 c^{\frac{3}{2}}}-\frac{{\mathrm e}^{-c \,x^{2}+b x +a}}{2 c}}{c}"," ",0,"-1/2*exp(-c*x^2+b*x+a)*x^2/c+1/2*b/c*(-1/2*exp(-c*x^2+b*x+a)*x/c+1/2*b/c*(-1/2*exp(-c*x^2+b*x+a)/c-1/4*b/c^(3/2)*Pi^(1/2)*exp(a+1/4*b^2/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2)))-1/4/c^(3/2)*Pi^(1/2)*exp(a+1/4*b^2/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2)))+1/c*(-1/2*exp(-c*x^2+b*x+a)/c-1/4*b/c^(3/2)*Pi^(1/2)*exp(a+1/4*b^2/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2)))","A"
433,1,111,102,0.016000," ","int(exp(-c*x^2+b*x+a)*x^2,x)","-\frac{x \,{\mathrm e}^{-c \,x^{2}+b x +a}}{2 c}-\frac{\sqrt{\pi}\, \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right) {\mathrm e}^{a +\frac{b^{2}}{4 c}}}{4 c^{\frac{3}{2}}}+\frac{\left(-\frac{\sqrt{\pi}\, b \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right) {\mathrm e}^{a +\frac{b^{2}}{4 c}}}{4 c^{\frac{3}{2}}}-\frac{{\mathrm e}^{-c \,x^{2}+b x +a}}{2 c}\right) b}{2 c}"," ",0,"-1/2/c*x*exp(-c*x^2+b*x+a)+1/2*b/c*(-1/2/c*exp(-c*x^2+b*x+a)-1/4*b/c^(3/2)*Pi^(1/2)*exp(a+1/4*b^2/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2)))-1/4/c^(3/2)*Pi^(1/2)*exp(a+1/4*b^2/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2))","A"
434,1,53,50,0.016000," ","int(exp(-c*x^2+b*x+a)*x,x)","-\frac{\sqrt{\pi}\, b \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right) {\mathrm e}^{a +\frac{b^{2}}{4 c}}}{4 c^{\frac{3}{2}}}-\frac{{\mathrm e}^{-c \,x^{2}+b x +a}}{2 c}"," ",0,"-1/2/c*exp(-c*x^2+b*x+a)-1/4*b/c^(3/2)*Pi^(1/2)*exp(a+1/4*b^2/c)*erf(-c^(1/2)*x+1/2*b/c^(1/2))","A"
435,1,34,31,0.014000," ","int(exp(-c*x^2+b*x+a),x)","-\frac{\sqrt{\pi}\, \erf \left(-\sqrt{c}\, x +\frac{b}{2 \sqrt{c}}\right) {\mathrm e}^{a +\frac{b^{2}}{4 c}}}{2 \sqrt{c}}"," ",0,"-1/2*Pi^(1/2)*exp(a+1/4*b^2/c)/c^(1/2)*erf(-c^(1/2)*x+1/2*b/c^(1/2))","A"
436,0,0,18,0.028000," ","int(exp(-c*x^2+b*x+a)/x,x)","\int \frac{{\mathrm e}^{-c \,x^{2}+b x +a}}{x}\, dx"," ",0,"int(exp(-c*x^2+b*x+a)/x,x)","F"
437,0,0,68,0.031000," ","int(exp(-c*x^2+b*x+a)/x^2,x)","\int \frac{{\mathrm e}^{-c \,x^{2}+b x +a}}{x^{2}}\, dx"," ",0,"int(exp(-c*x^2+b*x+a)/x^2,x)","F"
438,1,368,255,0.025000," ","int(exp((b*x+a)*(d*x+c))*x^3,x)","\frac{x^{2} {\mathrm e}^{b d \,x^{2}+a c +\left(a d +b c \right) x}}{2 b d}-\frac{\left(a d +b c \right) \left(\frac{x \,{\mathrm e}^{b d \,x^{2}+a c +\left(a d +b c \right) x}}{2 b d}+\frac{\sqrt{\pi}\, \erf \left(-\sqrt{-b d}\, x +\frac{a d +b c}{2 \sqrt{-b d}}\right) {\mathrm e}^{a c -\frac{\left(a d +b c \right)^{2}}{4 b d}}}{4 \sqrt{-b d}\, b d}-\frac{\left(a d +b c \right) \left(\frac{\left(a d +b c \right) \sqrt{\pi}\, \erf \left(-\sqrt{-b d}\, x +\frac{a d +b c}{2 \sqrt{-b d}}\right) {\mathrm e}^{a c -\frac{\left(a d +b c \right)^{2}}{4 b d}}}{4 \sqrt{-b d}\, b d}+\frac{{\mathrm e}^{b d \,x^{2}+a c +\left(a d +b c \right) x}}{2 b d}\right)}{2 b d}\right)}{2 b d}-\frac{\frac{\left(a d +b c \right) \sqrt{\pi}\, \erf \left(-\sqrt{-b d}\, x +\frac{a d +b c}{2 \sqrt{-b d}}\right) {\mathrm e}^{a c -\frac{\left(a d +b c \right)^{2}}{4 b d}}}{4 \sqrt{-b d}\, b d}+\frac{{\mathrm e}^{b d \,x^{2}+a c +\left(a d +b c \right) x}}{2 b d}}{b d}"," ",0,"1/2*exp(b*d*x^2+a*c+(a*d+b*c)*x)*x^2/b/d-1/2*(a*d+b*c)/b/d*(1/2*exp(b*d*x^2+a*c+(a*d+b*c)*x)*x/b/d-1/2*(a*d+b*c)/b/d*(1/2*exp(b*d*x^2+a*c+(a*d+b*c)*x)/b/d+1/4*(a*d+b*c)/b/d*Pi^(1/2)*exp(a*c-1/4*(a*d+b*c)^2/b/d)/(-b*d)^(1/2)*erf(-(-b*d)^(1/2)*x+1/2*(a*d+b*c)/(-b*d)^(1/2)))+1/4/b/d*Pi^(1/2)*exp(a*c-1/4*(a*d+b*c)^2/b/d)/(-b*d)^(1/2)*erf(-(-b*d)^(1/2)*x+1/2*(a*d+b*c)/(-b*d)^(1/2)))-1/b/d*(1/2*exp(b*d*x^2+a*c+(a*d+b*c)*x)/b/d+1/4*(a*d+b*c)/b/d*Pi^(1/2)*exp(a*c-1/4*(a*d+b*c)^2/b/d)/(-b*d)^(1/2)*erf(-(-b*d)^(1/2)*x+1/2*(a*d+b*c)/(-b*d)^(1/2)))","A"
439,1,212,180,0.019000," ","int(exp((b*x+a)*(d*x+c))*x^2,x)","\frac{x \,{\mathrm e}^{b d \,x^{2}+a c +\left(a d +b c \right) x}}{2 b d}+\frac{\sqrt{\pi}\, \erf \left(-\sqrt{-b d}\, x +\frac{a d +b c}{2 \sqrt{-b d}}\right) {\mathrm e}^{a c -\frac{\left(a d +b c \right)^{2}}{4 b d}}}{4 \sqrt{-b d}\, b d}-\frac{\left(a d +b c \right) \left(\frac{\left(a d +b c \right) \sqrt{\pi}\, \erf \left(-\sqrt{-b d}\, x +\frac{a d +b c}{2 \sqrt{-b d}}\right) {\mathrm e}^{a c -\frac{\left(a d +b c \right)^{2}}{4 b d}}}{4 \sqrt{-b d}\, b d}+\frac{{\mathrm e}^{b d \,x^{2}+a c +\left(a d +b c \right) x}}{2 b d}\right)}{2 b d}"," ",0,"1/2/b/d*x*exp(b*d*x^2+a*c+(a*d+b*c)*x)-1/2*(a*d+b*c)/b/d*(1/2/b/d*exp(b*d*x^2+a*c+(a*d+b*c)*x)+1/4*(a*d+b*c)/b/d*Pi^(1/2)*exp(a*c-1/4*(a*d+b*c)^2/b/d)/(-b*d)^(1/2)*erf(-(-b*d)^(1/2)*x+1/2*(a*d+b*c)/(-b*d)^(1/2)))+1/4/b/d*Pi^(1/2)*exp(a*c-1/4*(a*d+b*c)^2/b/d)/(-b*d)^(1/2)*erf(-(-b*d)^(1/2)*x+1/2*(a*d+b*c)/(-b*d)^(1/2))","A"
440,1,102,89,0.015000," ","int(exp((b*x+a)*(d*x+c))*x,x)","\frac{\left(a d +b c \right) \sqrt{\pi}\, \erf \left(-\sqrt{-b d}\, x +\frac{a d +b c}{2 \sqrt{-b d}}\right) {\mathrm e}^{a c -\frac{\left(a d +b c \right)^{2}}{4 b d}}}{4 \sqrt{-b d}\, b d}+\frac{{\mathrm e}^{b d \,x^{2}+a c +\left(a d +b c \right) x}}{2 b d}"," ",0,"1/2/b/d*exp(b*d*x^2+a*c+(a*d+b*c)*x)+1/4*(a*d+b*c)/b/d*Pi^(1/2)*exp(a*c-1/4*(a*d+b*c)^2/b/d)/(-b*d)^(1/2)*erf(-(-b*d)^(1/2)*x+1/2*(a*d+b*c)/(-b*d)^(1/2))","A"
441,1,60,53,0.014000," ","int(exp((b*x+a)*(d*x+c)),x)","-\frac{\sqrt{\pi}\, \erf \left(-\sqrt{-b d}\, x +\frac{a d +b c}{2 \sqrt{-b d}}\right) {\mathrm e}^{a c -\frac{\left(a d +b c \right)^{2}}{4 b d}}}{2 \sqrt{-b d}}"," ",0,"-1/2*Pi^(1/2)*exp(a*c-1/4*(a*d+b*c)^2/b/d)/(-b*d)^(1/2)*erf(-(-b*d)^(1/2)*x+1/2*(a*d+b*c)/(-b*d)^(1/2))","A"
442,0,0,26,0.032000," ","int(exp((b*x+a)*(d*x+c))/x,x)","\int \frac{{\mathrm e}^{\left(b x +a \right) \left(d x +c \right)}}{x}\, dx"," ",0,"int(exp((b*x+a)*(d*x+c))/x,x)","F"
443,0,0,112,0.034000," ","int(exp((b*x+a)*(d*x+c))/x^2,x)","\int \frac{{\mathrm e}^{\left(b x +a \right) \left(d x +c \right)}}{x^{2}}\, dx"," ",0,"int(exp((b*x+a)*(d*x+c))/x^2,x)","F"
444,1,550,226,0.082000," ","int(f^(c*x^2+b*x+a)*(e*x+d)^3,x)","\frac{\sqrt{\pi}\, b^{3} e^{3} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{16 \sqrt{-c \ln \left(f \right)}\, c^{3}}-\frac{3 \sqrt{\pi}\, b^{2} d \,e^{2} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{8 \sqrt{-c \ln \left(f \right)}\, c^{2}}+\frac{3 \sqrt{\pi}\, b \,d^{2} e \,f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}\, c}+\frac{e^{3} x^{2} f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}-\frac{\sqrt{\pi}\, d^{3} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{2 \sqrt{-c \ln \left(f \right)}}-\frac{b \,e^{3} x \,f^{a} f^{b x} f^{c \,x^{2}}}{4 c^{2} \ln \left(f \right)}+\frac{3 d \,e^{2} x \,f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}+\frac{b^{2} e^{3} f^{a} f^{b x} f^{c \,x^{2}}}{8 c^{3} \ln \left(f \right)}-\frac{3 b d \,e^{2} f^{a} f^{b x} f^{c \,x^{2}}}{4 c^{2} \ln \left(f \right)}-\frac{3 \sqrt{\pi}\, b \,e^{3} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{8 \sqrt{-c \ln \left(f \right)}\, c^{2} \ln \left(f \right)}+\frac{3 d^{2} e \,f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}+\frac{3 \sqrt{\pi}\, d \,e^{2} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}\, c \ln \left(f \right)}-\frac{e^{3} f^{a} f^{b x} f^{c \,x^{2}}}{2 c^{2} \ln \left(f \right)^{2}}"," ",0,"-1/2*d^3*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+1/2*e^3/c*x^2*f^a*f^(b*x)*f^(c*x^2)/ln(f)-1/4*e^3*b/c^2*x*f^a*f^(b*x)*f^(c*x^2)/ln(f)+1/8*e^3*b^2/c^3/ln(f)*f^(c*x^2)*f^(b*x)*f^a+1/16*e^3*b^3/c^3*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)-3/8*e^3*b/c^2/ln(f)*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)-1/2*e^3/c^2/ln(f)^2*f^(c*x^2)*f^(b*x)*f^a+3/2*d*e^2/c*x*f^a*f^(b*x)*f^(c*x^2)/ln(f)-3/4*d*e^2*b/c^2/ln(f)*f^(c*x^2)*f^(b*x)*f^a-3/8*d*e^2*b^2/c^2*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+3/4*d*e^2/c/ln(f)*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+3/2*e*d^2/c/ln(f)*f^(c*x^2)*f^(b*x)*f^a+3/4*e*d^2*b/c*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","B"
445,1,307,153,0.072000," ","int(f^(c*x^2+b*x+a)*(e*x+d)^2,x)","-\frac{\sqrt{\pi}\, b^{2} e^{2} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{8 \sqrt{-c \ln \left(f \right)}\, c^{2}}+\frac{\sqrt{\pi}\, b d e \,f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{2 \sqrt{-c \ln \left(f \right)}\, c}-\frac{\sqrt{\pi}\, d^{2} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{2 \sqrt{-c \ln \left(f \right)}}+\frac{e^{2} x \,f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}-\frac{b \,e^{2} f^{a} f^{b x} f^{c \,x^{2}}}{4 c^{2} \ln \left(f \right)}+\frac{d e \,f^{a} f^{b x} f^{c \,x^{2}}}{c \ln \left(f \right)}+\frac{\sqrt{\pi}\, e^{2} f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}\, c \ln \left(f \right)}"," ",0,"-1/2*d^2*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+1/2*e^2/c*x*f^a*f^(b*x)*f^(c*x^2)/ln(f)-1/4*e^2*b/c^2/ln(f)*f^(c*x^2)*f^(b*x)*f^a-1/8*e^2*b^2/c^2*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+1/4*e^2/c/ln(f)*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+d*e/c/ln(f)*f^(c*x^2)*f^(b*x)*f^a+1/2*d*e*b/c*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","A"
446,1,131,72,0.061000," ","int(f^(c*x^2+b*x+a)*(e*x+d),x)","\frac{\sqrt{\pi}\, b e \,f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{4 \sqrt{-c \ln \left(f \right)}\, c}-\frac{\sqrt{\pi}\, d \,f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{2 \sqrt{-c \ln \left(f \right)}}+\frac{e \,f^{a} f^{b x} f^{c \,x^{2}}}{2 c \ln \left(f \right)}"," ",0,"-1/2*d*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)+1/2*e/c/ln(f)*f^(c*x^2)*f^(b*x)*f^a+1/4*e*b/c*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","A"
447,0,0,22,0.104000," ","int(f^(c*x^2+b*x+a)/(e*x+d),x)","\int \frac{f^{c \,x^{2}+b x +a}}{e x +d}\, dx"," ",0,"int(f^(c*x^2+b*x+a)/(e*x+d),x)","F"
448,0,0,105,0.102000," ","int(f^(c*x^2+b*x+a)/(e*x+d)^2,x)","\int \frac{f^{c \,x^{2}+b x +a}}{\left(e x +d \right)^{2}}\, dx"," ",0,"int(f^(c*x^2+b*x+a)/(e*x+d)^2,x)","F"
449,0,0,183,0.101000," ","int(f^(c*x^2+b*x+a)/(e*x+d)^3,x)","\int \frac{f^{c \,x^{2}+b x +a}}{\left(e x +d \right)^{3}}\, dx"," ",0,"int(f^(c*x^2+b*x+a)/(e*x+d)^3,x)","F"
450,1,45,45,0.008000," ","int(f^(c*x^2+b*x+a)*(2*c*x+b)^3,x)","\frac{\left(4 c^{2} x^{2} \ln \left(f \right)+4 b c x \ln \left(f \right)+b^{2} \ln \left(f \right)-4 c \right) f^{c \,x^{2}+b x +a}}{\ln \left(f \right)^{2}}"," ",0,"(4*ln(f)*c^2*x^2+4*b*c*x*ln(f)+ln(f)*b^2-4*c)*f^(c*x^2+b*x+a)/ln(f)^2","A"
451,1,99,64,0.070000," ","int(f^(c*x^2+b*x+a)*(2*c*x+b)^2,x)","\frac{2 c x \,f^{a} f^{b x} f^{c \,x^{2}}}{\ln \left(f \right)}+\frac{b \,f^{a} f^{b x} f^{c \,x^{2}}}{\ln \left(f \right)}+\frac{\sqrt{\pi}\, c \,f^{a} f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{\sqrt{-c \ln \left(f \right)}\, \ln \left(f \right)}"," ",0,"2*c*x*f^a*f^(b*x)*f^(c*x^2)/ln(f)+b/ln(f)*f^(c*x^2)*f^(b*x)*f^a+c/ln(f)*Pi^(1/2)*f^a*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","A"
452,1,18,17,0.005000," ","int(f^(c*x^2+b*x+a)*(2*c*x+b),x)","\frac{f^{c \,x^{2}+b x +a}}{\ln \left(f \right)}"," ",0,"f^(c*x^2+b*x+a)/ln(f)","A"
453,1,40,33,0.042000," ","int(f^(c*x^2+b*x+a)/(2*c*x+b),x)","-\frac{f^{\frac{4 a c -b^{2}}{4 c}} \Ei \left(1, -\frac{\left(2 c x +b \right)^{2} \ln \left(f \right)}{4 c}\right)}{4 c}"," ",0,"-1/4/c*f^(1/4*(4*a*c-b^2)/c)*Ei(1,-1/4*(2*c*x+b)^2*ln(f)/c)","A"
454,1,101,66,0.093000," ","int(f^(c*x^2+b*x+a)/(2*c*x+b)^2,x)","-\frac{f^{\frac{4 a c -b^{2}}{4 c}} f^{\frac{\left(2 c x +b \right)^{2}}{4 c}}}{2 \left(2 c x +b \right) c}+\frac{\sqrt{\pi}\, f^{\frac{4 a c -b^{2}}{4 c}} \erf \left(\frac{\sqrt{-\frac{\ln \left(f \right)}{c}}\, \left(2 c x +b \right)}{2}\right) \ln \left(f \right)}{4 \sqrt{-\frac{\ln \left(f \right)}{c}}\, c^{2}}"," ",0,"-1/2/c/(2*c*x+b)*f^(1/4*(2*c*x+b)^2/c)*f^(1/4*(4*a*c-b^2)/c)+1/4/c^2*ln(f)*Pi^(1/2)*f^(1/4*(4*a*c-b^2)/c)/(-ln(f)/c)^(1/2)*erf(1/2*(-ln(f)/c)^(1/2)*(2*c*x+b))","A"
455,1,88,61,0.053000," ","int(f^(c*x^2+b*x+a)/(2*c*x+b)^3,x)","-\frac{f^{\frac{4 a c -b^{2}}{4 c}} f^{\frac{\left(2 c x +b \right)^{2}}{4 c}}}{4 \left(2 c x +b \right)^{2} c}-\frac{f^{\frac{4 a c -b^{2}}{4 c}} \Ei \left(1, -\frac{\left(2 c x +b \right)^{2} \ln \left(f \right)}{4 c}\right) \ln \left(f \right)}{16 c^{2}}"," ",0,"-1/4/c/(2*c*x+b)^2*f^(1/4*(2*c*x+b)^2/c)*f^(1/4*(4*a*c-b^2)/c)-1/16/c^2*ln(f)*f^(1/4*(4*a*c-b^2)/c)*Ei(1,-1/4*(2*c*x+b)^2/c*ln(f))","A"
456,1,44,43,0.007000," ","int(f^(c*x^2+b*x)*(2*c*x+b)^3,x)","\frac{\left(4 c^{2} x^{2} \ln \left(f \right)+4 b c x \ln \left(f \right)+b^{2} \ln \left(f \right)-4 c \right) f^{c \,x^{2}+b x}}{\ln \left(f \right)^{2}}"," ",0,"(4*c^2*x^2*ln(f)+4*b*c*x*ln(f)+b^2*ln(f)-4*c)*f^(c*x^2+b*x)/ln(f)^2","A"
457,1,90,63,0.069000," ","int(f^(c*x^2+b*x)*(2*c*x+b)^2,x)","\frac{2 c x \,f^{b x} f^{c \,x^{2}}}{\ln \left(f \right)}+\frac{b \,f^{b x} f^{c \,x^{2}}}{\ln \left(f \right)}+\frac{\sqrt{\pi}\, c \,f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{b \ln \left(f \right)}{2 \sqrt{-c \ln \left(f \right)}}-\sqrt{-c \ln \left(f \right)}\, x \right)}{\sqrt{-c \ln \left(f \right)}\, \ln \left(f \right)}"," ",0,"2*c/ln(f)*x*f^(c*x^2)*f^(b*x)+b/ln(f)*f^(c*x^2)*f^(b*x)+c/ln(f)*Pi^(1/2)*f^(-1/4*b^2/c)/(-c*ln(f))^(1/2)*erf(1/2/(-c*ln(f))^(1/2)*b*ln(f)-(-c*ln(f))^(1/2)*x)","A"
458,1,17,16,0.006000," ","int(f^(c*x^2+b*x)*(2*c*x+b),x)","\frac{f^{c \,x^{2}+b x}}{\ln \left(f \right)}"," ",0,"f^(c*x^2+b*x)/ln(f)","A"
459,1,33,33,0.039000," ","int(f^(c*x^2+b*x)/(2*c*x+b),x)","-\frac{f^{-\frac{b^{2}}{4 c}} \Ei \left(1, -\frac{\left(2 c x +b \right)^{2} \ln \left(f \right)}{4 c}\right)}{4 c}"," ",0,"-1/4/c*f^(-1/4*b^2/c)*Ei(1,-1/4*(2*c*x+b)^2/c*ln(f))","A"
460,1,87,65,0.062000," ","int(f^(c*x^2+b*x)/(2*c*x+b)^2,x)","-\frac{f^{-\frac{b^{2}}{4 c}} f^{\frac{\left(2 c x +b \right)^{2}}{4 c}}}{2 \left(2 c x +b \right) c}+\frac{\sqrt{\pi}\, f^{-\frac{b^{2}}{4 c}} \erf \left(\frac{\sqrt{-\frac{\ln \left(f \right)}{c}}\, \left(2 c x +b \right)}{2}\right) \ln \left(f \right)}{4 \sqrt{-\frac{\ln \left(f \right)}{c}}\, c^{2}}"," ",0,"-1/2/c/(2*c*x+b)*f^(1/4*(2*c*x+b)^2/c)*f^(-1/4*b^2/c)+1/4/c^2*ln(f)*Pi^(1/2)*f^(-1/4*b^2/c)/(-1/c*ln(f))^(1/2)*erf(1/2*(-1/c*ln(f))^(1/2)*(2*c*x+b))","A"
461,1,74,60,0.051000," ","int(f^(c*x^2+b*x)/(2*c*x+b)^3,x)","-\frac{f^{-\frac{b^{2}}{4 c}} f^{\frac{\left(2 c x +b \right)^{2}}{4 c}}}{4 \left(2 c x +b \right)^{2} c}-\frac{f^{-\frac{b^{2}}{4 c}} \Ei \left(1, -\frac{\left(2 c x +b \right)^{2} \ln \left(f \right)}{4 c}\right) \ln \left(f \right)}{16 c^{2}}"," ",0,"-1/4/c/(2*c*x+b)^2*f^(1/4*(2*c*x+b)^2/c)*f^(-1/4*b^2/c)-1/16/c^2*ln(f)*f^(-1/4*b^2/c)*Ei(1,-1/4*(2*c*x+b)^2/c*ln(f))","A"
462,1,142,109,0.035000," ","int(exp(b*x+a)/x^2/(d*x^2+c),x)","\left(-\frac{\Ei \left(1, -b x \right) {\mathrm e}^{a}}{c}+\frac{\left(\Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}-\Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}\right) d}{2 \sqrt{-c d}\, b c}-\frac{{\mathrm e}^{b x +a}}{b c x}\right) b"," ",0,"b*(-exp(b*x+a)/c/b/x+1/2*d*(exp((b*(-c*d)^(1/2)+a*d)/d)*Ei(1,(b*(-c*d)^(1/2)-(b*x+a)*d+a*d)/d)-exp(-(b*(-c*d)^(1/2)-a*d)/d)*Ei(1,-(b*(-c*d)^(1/2)+(b*x+a)*d-a*d)/d))/c/b/(-c*d)^(1/2)-1/c*exp(a)*Ei(1,-b*x))","A"
463,1,112,84,0.029000," ","int(exp(b*x+a)/x/(d*x^2+c),x)","-\frac{\Ei \left(1, -b x \right) {\mathrm e}^{a}}{c}+\frac{\Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}+\Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}}{2 c}"," ",0,"1/2*(exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)+exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d))/c-1/c*exp(a)*Ei(1,-b*x)","A"
464,1,102,84,0.020000," ","int(exp(b*x+a)/(d*x^2+c),x)","-\frac{\Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}-\Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}}{2 \sqrt{-c d}}"," ",0,"-1/2*(exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)-exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d))/(-c*d)^(1/2)","A"
465,1,323,74,0.027000," ","int(exp(b*x+a)*x/(d*x^2+c),x)","\frac{\frac{\left(\Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}-\Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}\right) a b}{2 \sqrt{-c d}}-\frac{\left(a d \Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}-a d \Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}+\sqrt{-c d}\, b \Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}+\sqrt{-c d}\, b \Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}\right) b}{2 \sqrt{-c d}\, d}}{b^{2}}"," ",0,"1/b^2*(-1/2*b/d*(exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)*(-c*d)^(1/2)*b+exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)*a*d+exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d)*(-c*d)^(1/2)*b-exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d)*a*d)/(-c*d)^(1/2)+1/2*a*b*(exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)-exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d))/(-c*d)^(1/2))","B"
466,1,660,97,0.036000," ","int(exp(b*x+a)*x^2/(d*x^2+c),x)","\frac{-\frac{\left(\Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}-\Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}\right) a^{2} b}{2 \sqrt{-c d}}+\frac{b^{2} {\mathrm e}^{b x +a}}{d}+\frac{\left(a d \Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}-a d \Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}+\sqrt{-c d}\, b \Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}+\sqrt{-c d}\, b \Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}\right) a b}{\sqrt{-c d}\, d}-\frac{\left(a^{2} d \Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}-a^{2} d \Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}-b^{2} c \Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}+b^{2} c \Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}+2 \sqrt{-c d}\, a b \Ei \left(1, \frac{a d +\sqrt{-c d}\, b -\left(b x +a \right) d}{d}\right) {\mathrm e}^{\frac{a d +\sqrt{-c d}\, b}{d}}+2 \sqrt{-c d}\, a b \Ei \left(1, -\frac{-a d +\sqrt{-c d}\, b +\left(b x +a \right) d}{d}\right) {\mathrm e}^{-\frac{-a d +\sqrt{-c d}\, b}{d}}\right) b}{2 \sqrt{-c d}\, d}}{b^{3}}"," ",0,"1/b^3*(b^2/d*exp(b*x+a)-1/2/d*b*(2*exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)*(-c*d)^(1/2)*a*b+exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)*a^2*d-exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)*b^2*c+2*exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d)*(-c*d)^(1/2)*a*b-exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d)*a^2*d+exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d)*b^2*c)/(-c*d)^(1/2)-1/2*a^2*b*(exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)-exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d))/(-c*d)^(1/2)+a*b/d*(exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)*(-c*d)^(1/2)*b+exp((a*d+(-c*d)^(1/2)*b)/d)*Ei(1,(a*d+(-c*d)^(1/2)*b-(b*x+a)*d)/d)*a*d+exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d)*(-c*d)^(1/2)*b-exp(-(-a*d+(-c*d)^(1/2)*b)/d)*Ei(1,-(-a*d+(-c*d)^(1/2)*b+(b*x+a)*d)/d)*a*d)/(-c*d)^(1/2))","B"
467,1,561,184,0.033000," ","int(exp(e*x+d)/x^2/(c*x^2+b*x+a),x)","\left(-\frac{\left(a e -b \right) \Ei \left(1, -e x \right) {\mathrm e}^{d}}{a^{2} e}-\frac{{\mathrm e}^{e x +d}}{a e x}-\frac{-2 a c e \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+2 a c e \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+b^{2} e \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-b^{2} e \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}}{2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, a^{2} e}\right) e"," ",0,"e*(-exp(e*x+d)/a/x/e-1/2*(-2*exp(1/2/c*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2)))*Ei(1,1/2*(-2*(e*x+d)*c-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c*e+exp(1/2/c*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2)))*Ei(1,1/2*(-2*(e*x+d)*c-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*e+2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(2*(e*x+d)*c+b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c*e-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(2*(e*x+d)*c+b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*e+exp(1/2/c*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2)))*Ei(1,1/2*(-2*(e*x+d)*c-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(2*(e*x+d)*c+b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b)/a^2/e/(-4*a*c*e^2+b^2*e^2)^(1/2)-1/a^2/e*(a*e-b)*exp(d)*Ei(1,-e*x))","B"
468,1,369,142,0.028000," ","int(exp(e*x+d)/x/(c*x^2+b*x+a),x)","-\frac{\Ei \left(1, -e x \right) {\mathrm e}^{d}}{a}+\frac{b e \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-b e \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}}{2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, a}"," ",0,"1/2*(exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2))/a/(-4*a*c*e^2+b^2*e^2)^(1/2)-1/a*exp(d)*Ei(1,-e*x)","B"
469,1,169,116,0.021000," ","int(exp(e*x+d)/(c*x^2+b*x+a),x)","-\frac{\left(\Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-\Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}\right) e}{\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}"," ",0,"-e*(exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c))/(-4*a*c*e^2+b^2*e^2)^(1/2)","A"
470,1,685,132,0.025000," ","int(exp(e*x+d)*x/(c*x^2+b*x+a),x)","\frac{\frac{\left(\Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-\Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}\right) d \,e^{2}}{\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}-\frac{\left(-b e \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+b e \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+2 c d \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-2 c d \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}\right) e^{2}}{2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c}}{e^{2}}"," ",0,"1/e^2*(-1/2*e^2*(-exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e+2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c*d+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c*d+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2))/c/(-4*a*c*e^2+b^2*e^2)^(1/2)+d*e^2*(exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c))/(-4*a*c*e^2+b^2*e^2)^(1/2))","B"
471,1,1730,160,0.036000," ","int(exp(e*x+d)*x^2/(c*x^2+b*x+a),x)","\frac{-\frac{\left(\Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-\Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}\right) d^{2} e^{2}}{\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}+\frac{\left(-b e \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+b e \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+2 c d \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-2 c d \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}\right) d \,e^{2}}{\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c}+\frac{e^{2} {\mathrm e}^{e x +d}}{c}+\frac{\left(2 a c \,e^{2} \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-2 a c \,e^{2} \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-b^{2} e^{2} \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+b^{2} e^{2} \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+2 b c d e \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-2 b c d e \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-2 c^{2} d^{2} \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+2 c^{2} d^{2} \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}+\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, b e \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \Ei \left(1, \frac{-b e +2 c d -2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{\frac{-b e +2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}-2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c d \Ei \left(1, -\frac{b e -2 c d +2 \left(e x +d \right) c +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}\right) {\mathrm e}^{-\frac{b e -2 c d +\sqrt{-4 a c \,e^{2}+b^{2} e^{2}}}{2 c}}\right) e^{2}}{2 \sqrt{-4 a c \,e^{2}+b^{2} e^{2}}\, c^{2}}}{e^{3}}"," ",0,"1/e^3*(e^2/c*exp(e*x+d)+1/2/c^2*e^2*(2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c*e^2-exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*e^2+2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*c*d*e-2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c^2*d^2-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c*e^2+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*e^2-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*c*d*e+2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c^2*d^2+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b*e-2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*c*d+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b*e-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*c*d)/(-4*a*c*e^2+b^2*e^2)^(1/2)-d^2*e^2*(exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c))/(-4*a*c*e^2+b^2*e^2)^(1/2)+d*e^2*(-exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e+2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c*d+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c*d+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2))/c/(-4*a*c*e^2+b^2*e^2)^(1/2))","B"
472,1,3532,203,0.051000," ","int(exp(e*x+d)*x^3/(c*x^2+b*x+a),x)","\text{output too large to display}"," ",0,"1/e^4*(-e^2*exp(e*x+d)*(-(e*x+d)*c+b*e-2*c*d+c)/c^2+1/2/c^3*e^2*(-3*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*b*c*e^3+6*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c^2*d*e^2+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^3*e^3-3*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*c*d*e^2+3*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*c^2*d^2*e-2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c^3*d^3+3*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*b*c*e^3-6*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c^2*d*e^2-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^3*e^3+3*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*c*d*e^2-3*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*c^2*d^2*e+2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c^3*d^3+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*a*c*e^2-exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b^2*e^2+3*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b*c*d*e-3*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*c^2*d^2+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*a*c*e^2-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b^2*e^2+3*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b*c*d*e-3*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*c^2*d^2)/(-4*a*c*e^2+b^2*e^2)^(1/2)+d^3*e^2*(exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)-exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c))/(-4*a*c*e^2+b^2*e^2)^(1/2)-3/2*d^2*e^2*(-exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e+2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c*d+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*e-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c*d+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2))/c/(-4*a*c*e^2+b^2*e^2)^(1/2)-3*d*(1/c*e^2*exp(e*x+d)+1/2/c^2*e^2*(2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c*e^2-exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*e^2+2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*c*d*e-2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c^2*d^2-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*a*c*e^2+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b^2*e^2-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*b*c*d*e+2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*c^2*d^2+exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b*e-2*exp(1/2*(-b*e+2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,1/2*(-b*e+2*c*d-2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*c*d+exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*b*e-2*exp(-1/2*(b*e-2*c*d+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*Ei(1,-1/2*(b*e-2*c*d+2*(e*x+d)*c+(-4*a*c*e^2+b^2*e^2)^(1/2))/c)*(-4*a*c*e^2+b^2*e^2)^(1/2)*c*d)/(-4*a*c*e^2+b^2*e^2)^(1/2)))","B"
473,1,35,30,0.028000," ","int(4^x/(a+2^x*b),x)","-\frac{a \ln \left(b \,{\mathrm e}^{\ln \left(2\right) x}+a \right)}{\ln \left(2\right) b^{2}}+\frac{{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) b}"," ",0,"1/ln(2)/b*exp(x*ln(2))-1/ln(2)/b^2*a*ln(a+exp(x*ln(2))*b)","A"
474,1,35,30,0.023000," ","int(2^(2*x)/(a+2^x*b),x)","-\frac{a \ln \left(b \,{\mathrm e}^{\ln \left(2\right) x}+a \right)}{\ln \left(2\right) b^{2}}+\frac{{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) b}"," ",0,"-1/ln(2)*a/b^2*ln(b*exp(ln(2)*x)+a)+1/ln(2)/b*exp(ln(2)*x)","A"
475,1,37,32,0.029000," ","int(4^x/(a-2^x*b),x)","-\frac{a \ln \left(-b \,{\mathrm e}^{\ln \left(2\right) x}+a \right)}{\ln \left(2\right) b^{2}}-\frac{{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) b}"," ",0,"-1/ln(2)/b*exp(ln(2)*x)-1/ln(2)/b^2*a*ln(a-b*exp(ln(2)*x))","A"
476,1,37,32,0.025000," ","int(2^(2*x)/(a-2^x*b),x)","-\frac{a \ln \left(-b \,{\mathrm e}^{\ln \left(2\right) x}+a \right)}{\ln \left(2\right) b^{2}}-\frac{{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) b}"," ",0,"-1/ln(2)*a/b^2*ln(-b*exp(ln(2)*x)+a)-1/ln(2)/b*exp(ln(2)*x)","A"
477,1,54,58,0.030000," ","int(4^x/(a+b/(2^x)),x)","\frac{{\mathrm e}^{2 \ln \left(2\right) x}}{2 \ln \left(2\right) a}-\frac{b \,{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) a^{2}}+\frac{b^{2} \ln \left(a \,{\mathrm e}^{\ln \left(2\right) x}+b \right)}{\ln \left(2\right) a^{3}}"," ",0,"1/2/a/ln(2)*exp(ln(2)*x)^2-1/a^2/ln(2)*b*exp(ln(2)*x)+1/a^3/ln(2)*b^2*ln(a*exp(ln(2)*x)+b)","A"
478,1,54,58,0.026000," ","int(2^(2*x)/(a+b/(2^x)),x)","\frac{{\mathrm e}^{2 \ln \left(2\right) x}}{2 \ln \left(2\right) a}-\frac{b \,{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) a^{2}}+\frac{b^{2} \ln \left(a \,{\mathrm e}^{\ln \left(2\right) x}+b \right)}{\ln \left(2\right) a^{3}}"," ",0,"1/2/a/ln(2)*exp(ln(2)*x)^2-1/ln(2)/a^2*b*exp(ln(2)*x)+1/ln(2)/a^3*b^2*ln(a*exp(ln(2)*x)+b)","A"
479,1,55,58,0.025000," ","int(4^x/(a-b/(2^x)),x)","\frac{{\mathrm e}^{2 \ln \left(2\right) x}}{2 \ln \left(2\right) a}+\frac{b \,{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) a^{2}}+\frac{b^{2} \ln \left(a \,{\mathrm e}^{\ln \left(2\right) x}-b \right)}{\ln \left(2\right) a^{3}}"," ",0,"1/ln(2)/a^2*b*exp(ln(2)*x)+1/2/a/ln(2)*exp(ln(2)*x)^2+1/a^3/ln(2)*b^2*ln(a*exp(ln(2)*x)-b)","A"
480,1,55,58,0.026000," ","int(2^(2*x)/(a-b/(2^x)),x)","\frac{{\mathrm e}^{2 \ln \left(2\right) x}}{2 \ln \left(2\right) a}+\frac{b \,{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right) a^{2}}+\frac{b^{2} \ln \left(a \,{\mathrm e}^{\ln \left(2\right) x}-b \right)}{\ln \left(2\right) a^{3}}"," ",0,"1/ln(2)/a^2*b*exp(ln(2)*x)+1/2/a/ln(2)*exp(ln(2)*x)^2+1/ln(2)/a^3*b^2*ln(a*exp(ln(2)*x)-b)","A"
481,1,53,22,0.050000," ","int(2^x/(a+4^x*b),x)","-\frac{\ln \left(-\frac{a}{\sqrt{-a b}}+2^{x}\right)}{2 \sqrt{-a b}\, \ln \left(2\right)}+\frac{\ln \left(\frac{a}{\sqrt{-a b}}+2^{x}\right)}{2 \sqrt{-a b}\, \ln \left(2\right)}"," ",0,"-1/2/(-a*b)^(1/2)/ln(2)*ln(2^x-1/(-a*b)^(1/2)*a)+1/2/(-a*b)^(1/2)/ln(2)*ln(2^x+1/(-a*b)^(1/2)*a)","B"
482,1,53,22,0.047000," ","int(2^x/(a+2^(2*x)*b),x)","-\frac{\ln \left(-\frac{a}{\sqrt{-a b}}+2^{x}\right)}{2 \sqrt{-a b}\, \ln \left(2\right)}+\frac{\ln \left(\frac{a}{\sqrt{-a b}}+2^{x}\right)}{2 \sqrt{-a b}\, \ln \left(2\right)}"," ",0,"-1/2/(-a*b)^(1/2)/ln(2)*ln(-1/(-a*b)^(1/2)*a+2^x)+1/2/(-a*b)^(1/2)/ln(2)*ln(1/(-a*b)^(1/2)*a+2^x)","B"
483,1,49,22,0.048000," ","int(2^x/(a-4^x*b),x)","-\frac{\ln \left(-\frac{a}{\sqrt{a b}}+2^{x}\right)}{2 \sqrt{a b}\, \ln \left(2\right)}+\frac{\ln \left(\frac{a}{\sqrt{a b}}+2^{x}\right)}{2 \sqrt{a b}\, \ln \left(2\right)}"," ",0,"1/2/(a*b)^(1/2)/ln(2)*ln(2^x+1/(a*b)^(1/2)*a)-1/2/(a*b)^(1/2)/ln(2)*ln(2^x-1/(a*b)^(1/2)*a)","B"
484,1,49,22,0.048000," ","int(2^x/(a-2^(2*x)*b),x)","-\frac{\ln \left(-\frac{a}{\sqrt{a b}}+2^{x}\right)}{2 \sqrt{a b}\, \ln \left(2\right)}+\frac{\ln \left(\frac{a}{\sqrt{a b}}+2^{x}\right)}{2 \sqrt{a b}\, \ln \left(2\right)}"," ",0,"-1/2/(a*b)^(1/2)/ln(2)*ln(-1/(a*b)^(1/2)*a+2^x)+1/2/(a*b)^(1/2)/ln(2)*ln(1/(a*b)^(1/2)*a+2^x)","B"
485,1,74,35,0.052000," ","int(2^x/(a+b/(4^x)),x)","\frac{2^{x}}{\ln \left(2\right) a}+\frac{\sqrt{-a b}\, \ln \left(2^{x}-\frac{\sqrt{-a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}-\frac{\sqrt{-a b}\, \ln \left(2^{x}+\frac{\sqrt{-a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}"," ",0,"2^x/a/ln(2)+1/2/a^2*(-a*b)^(1/2)/ln(2)*ln(2^x-1/a*(-a*b)^(1/2))-1/2/a^2*(-a*b)^(1/2)/ln(2)*ln(2^x+1/a*(-a*b)^(1/2))","B"
486,1,74,35,0.052000," ","int(2^x/(a+b/(2^(2*x))),x)","\frac{2^{x}}{\ln \left(2\right) a}+\frac{\sqrt{-a b}\, \ln \left(2^{x}-\frac{\sqrt{-a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}-\frac{\sqrt{-a b}\, \ln \left(2^{x}+\frac{\sqrt{-a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}"," ",0,"1/ln(2)/a*2^x+1/2*(-a*b)^(1/2)/ln(2)/a^2*ln(2^x-(-a*b)^(1/2)/a)-1/2*(-a*b)^(1/2)/ln(2)/a^2*ln(2^x+(-a*b)^(1/2)/a)","B"
487,1,70,35,0.054000," ","int(2^x/(a-b/(4^x)),x)","\frac{2^{x}}{\ln \left(2\right) a}+\frac{\sqrt{a b}\, \ln \left(2^{x}-\frac{\sqrt{a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}-\frac{\sqrt{a b}\, \ln \left(2^{x}+\frac{\sqrt{a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}"," ",0,"1/ln(2)/a*2^x+1/2/a^2*(a*b)^(1/2)/ln(2)*ln(2^x-1/a*(a*b)^(1/2))-1/2/a^2*(a*b)^(1/2)/ln(2)*ln(2^x+1/a*(a*b)^(1/2))","A"
488,1,70,35,0.050000," ","int(2^x/(a-b/(2^(2*x))),x)","\frac{2^{x}}{\ln \left(2\right) a}+\frac{\sqrt{a b}\, \ln \left(2^{x}-\frac{\sqrt{a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}-\frac{\sqrt{a b}\, \ln \left(2^{x}+\frac{\sqrt{a b}}{a}\right)}{2 \ln \left(2\right) a^{2}}"," ",0,"1/ln(2)/a*2^x+1/2*(a*b)^(1/2)/ln(2)/a^2*ln(2^x-(a*b)^(1/2)/a)-1/2*(a*b)^(1/2)/ln(2)/a^2*ln(2^x+(a*b)^(1/2)/a)","A"
489,-2,0,25,180.000000," ","int(2^x/(a+4^x*b)^(1/2),x)","\int \frac{2^{x}}{\sqrt{b 4^{x}+a}}\, dx"," ",0,"int(2^x/(a+4^x*b)^(1/2),x)","F"
490,-2,0,25,180.000000," ","int(2^x/(a+2^(2*x)*b)^(1/2),x)","\int \frac{2^{x}}{\sqrt{b 2^{2 x}+a}}\, dx"," ",0,"int(2^x/(a+2^(2*x)*b)^(1/2),x)","F"
491,-2,0,26,180.000000," ","int(2^x/(a-b*4^x)^(1/2),x)","\int \frac{2^{x}}{\sqrt{-b 4^{x}+a}}\, dx"," ",0,"int(2^x/(a-b*4^x)^(1/2),x)","F"
492,-2,0,26,180.000000," ","int(2^x/(a-b*2^(2*x))^(1/2),x)","\int \frac{2^{x}}{\sqrt{-b 2^{2 x}+a}}\, dx"," ",0,"int(2^x/(a-b*2^(2*x))^(1/2),x)","F"
493,1,40,24,0.046000," ","int(2^x/(a+b/(4^x))^(1/2),x)","\frac{\left(a 2^{2 x}+b \right) 2^{-x}}{\sqrt{\left(a 2^{2 x}+b \right) 2^{-2 x}}\, \ln \left(2\right) a}"," ",0,"1/((a*(2^x)^2+b)/(2^x)^2)^(1/2)*(a*(2^x)^2+b)/(2^x)/a/ln(2)","A"
494,1,40,24,0.025000," ","int(2^x/(a+b/(2^(2*x)))^(1/2),x)","\frac{\left(a 2^{2 x}+b \right) 2^{-x}}{\sqrt{\left(a 2^{2 x}+b \right) 2^{-2 x}}\, \ln \left(2\right) a}"," ",0,"1/((a*(2^x)^2+b)/(2^x)^2)^(1/2)*(a*(2^x)^2+b)/(2^x)/a/ln(2)","A"
495,1,44,25,0.040000," ","int(2^x/(a-b/(4^x))^(1/2),x)","\frac{\left(a 2^{2 x}-b \right) 2^{-x}}{\sqrt{\left(a 2^{2 x}-b \right) 2^{-2 x}}\, \ln \left(2\right) a}"," ",0,"1/((a*(2^x)^2-b)/(2^x)^2)^(1/2)*(a*(2^x)^2-b)/(2^x)/a/ln(2)","A"
496,1,44,25,0.023000," ","int(2^x/(a-b/(2^(2*x)))^(1/2),x)","\frac{\left(a 2^{2 x}-b \right) 2^{-x}}{\sqrt{\left(a 2^{2 x}-b \right) 2^{-2 x}}\, \ln \left(2\right) a}"," ",0,"1/((a*(2^x)^2-b)/(2^x)^2)^(1/2)*(a*(2^x)^2-b)/(2^x)/a/ln(2)","A"
497,1,29,38,0.030000," ","int(4^x/(a+2^x*b)^(1/2),x)","-\frac{2 \left(-b 2^{x}+2 a \right) \sqrt{b 2^{x}+a}}{3 \ln \left(2\right) b^{2}}"," ",0,"-2/3*(-2^x*b+2*a)*(a+2^x*b)^(1/2)/b^2/ln(2)","A"
498,1,29,38,0.014000," ","int(2^(2*x)/(b*2^x+a)^(1/2),x)","-\frac{2 \left(-b 2^{x}+2 a \right) \sqrt{b 2^{x}+a}}{3 \ln \left(2\right) b^{2}}"," ",0,"-2/3*(-b*2^x+2*a)*(b*2^x+a)^(1/2)/ln(2)/b^2","A"
499,1,29,40,0.031000," ","int(4^x/(a-b*2^x)^(1/2),x)","-\frac{2 \left(b 2^{x}+2 a \right) \sqrt{-b 2^{x}+a}}{3 \ln \left(2\right) b^{2}}"," ",0,"-2/3*(b*2^x+2*a)/b^2*(a-b*2^x)^(1/2)/ln(2)","A"
500,1,29,40,0.014000," ","int(2^(2*x)/(-b*2^x+a)^(1/2),x)","-\frac{2 \left(b 2^{x}+2 a \right) \sqrt{-b 2^{x}+a}}{3 \ln \left(2\right) b^{2}}"," ",0,"-2/3*(b*2^x+2*a)*(-b*2^x+a)^(1/2)/ln(2)/b^2","A"
501,0,0,81,0.042000," ","int(4^x/(a+b/(2^x))^(1/2),x)","\int \frac{4^{x}}{\sqrt{b 2^{-x}+a}}\, dx"," ",0,"int(4^x/(a+b/(2^x))^(1/2),x)","F"
502,0,0,81,0.019000," ","int(2^(2*x)/(a+b/(2^x))^(1/2),x)","\int \frac{2^{2 x}}{\sqrt{b 2^{-x}+a}}\, dx"," ",0,"int(2^(2*x)/(a+b/(2^x))^(1/2),x)","F"
503,0,0,84,0.039000," ","int(4^x/(a-b/(2^x))^(1/2),x)","\int \frac{4^{x}}{\sqrt{-b 2^{-x}+a}}\, dx"," ",0,"int(4^x/(a-b/(2^x))^(1/2),x)","F"
504,0,0,84,0.020000," ","int(2^(2*x)/(a-b/(2^x))^(1/2),x)","\int \frac{2^{2 x}}{\sqrt{-b 2^{-x}+a}}\, dx"," ",0,"int(2^(2*x)/(a-b/(2^x))^(1/2),x)","F"
505,1,18,15,0.018000," ","int(1/(1+2*exp(x)+exp(2*x)),x)","-\ln \left({\mathrm e}^{x}+1\right)+\ln \left({\mathrm e}^{x}\right)+\frac{1}{{\mathrm e}^{x}+1}"," ",0,"1/(exp(x)+1)-ln(exp(x)+1)+ln(exp(x))","A"
506,1,21,18,0.020000," ","int(1/(2+3*exp(x)+exp(2*x)),x)","-\ln \left({\mathrm e}^{x}+1\right)+\frac{\ln \left({\mathrm e}^{x}+2\right)}{2}+\frac{\ln \left({\mathrm e}^{x}\right)}{2}"," ",0,"1/2*ln(2+exp(x))-ln(exp(x)+1)+1/2*ln(exp(x))","A"
507,1,35,42,0.018000," ","int(1/(-1+exp(x)+exp(2*x)),x)","-\frac{\sqrt{5}\, \arctanh \left(\frac{\left(2 \,{\mathrm e}^{x}+1\right) \sqrt{5}}{5}\right)}{5}+\frac{\ln \left({\mathrm e}^{x}+{\mathrm e}^{2 x}-1\right)}{2}-\ln \left({\mathrm e}^{x}\right)"," ",0,"1/2*ln(-1+exp(x)+exp(x)^2)-1/5*5^(1/2)*arctanh(1/5*(1+2*exp(x))*5^(1/2))-ln(exp(x))","A"
508,1,37,34,0.018000," ","int(1/(3+3*exp(x)+exp(2*x)),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 \,{\mathrm e}^{x}+3\right) \sqrt{3}}{3}\right)}{3}-\frac{\ln \left(3 \,{\mathrm e}^{x}+{\mathrm e}^{2 x}+3\right)}{6}+\frac{\ln \left({\mathrm e}^{x}\right)}{3}"," ",0,"-1/6*ln(3+3*exp(x)+exp(x)^2)-1/3*arctan(1/3*(3+2*exp(x))*3^(1/2))*3^(1/2)+1/3*ln(exp(x))","A"
509,1,66,58,0.019000," ","int(1/(a+b*exp(x)+c*exp(2*x)),x)","-\frac{b \arctan \left(\frac{2 c \,{\mathrm e}^{x}+b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a}-\frac{\ln \left(b \,{\mathrm e}^{x}+c \,{\mathrm e}^{2 x}+a \right)}{2 a}+\frac{\ln \left({\mathrm e}^{x}\right)}{a}"," ",0,"-1/2/a*ln(a+b*exp(x)+c*exp(x)^2)-1/a*b/(4*a*c-b^2)^(1/2)*arctan((b+2*c*exp(x))/(4*a*c-b^2)^(1/2))+1/a*ln(exp(x))","A"
510,1,38,38,0.022000," ","int(x/(1+2*exp(x)+exp(2*x)),x)","\frac{x^{2}}{2}-\frac{x \,{\mathrm e}^{x}}{{\mathrm e}^{x}+1}-x \ln \left({\mathrm e}^{x}+1\right)-\dilog \left({\mathrm e}^{x}+1\right)+\ln \left({\mathrm e}^{x}+1\right)"," ",0,"ln(exp(x)+1)-x*exp(x)/(exp(x)+1)-dilog(exp(x)+1)-x*ln(exp(x)+1)+1/2*x^2","A"
511,1,41,40,0.017000," ","int(x/(2+3*exp(x)+exp(2*x)),x)","\frac{x^{2}}{4}-x \ln \left({\mathrm e}^{x}+1\right)+\frac{x \ln \left(\frac{{\mathrm e}^{x}}{2}+1\right)}{2}-\polylog \left(2, -{\mathrm e}^{x}\right)+\frac{\polylog \left(2, -\frac{{\mathrm e}^{x}}{2}\right)}{2}"," ",0,"1/4*x^2+1/2*x*ln(1+1/2*exp(x))-x*ln(exp(x)+1)-polylog(2,-exp(x))+1/2*polylog(2,-1/2*exp(x))","A"
512,1,183,145,0.021000," ","int(x/(exp(x)+exp(2*x)-1),x)","-\frac{x^{2}}{2}-\frac{\sqrt{5}\, x \ln \left(\frac{2 \,{\mathrm e}^{x}+1+\sqrt{5}}{\sqrt{5}+1}\right)}{10}+\frac{x \ln \left(\frac{2 \,{\mathrm e}^{x}+1+\sqrt{5}}{\sqrt{5}+1}\right)}{2}+\frac{\sqrt{5}\, x \ln \left(\frac{-2 \,{\mathrm e}^{x}+\sqrt{5}-1}{\sqrt{5}-1}\right)}{10}+\frac{x \ln \left(\frac{-2 \,{\mathrm e}^{x}+\sqrt{5}-1}{\sqrt{5}-1}\right)}{2}-\frac{\sqrt{5}\, \dilog \left(\frac{2 \,{\mathrm e}^{x}+1+\sqrt{5}}{\sqrt{5}+1}\right)}{10}+\frac{\dilog \left(\frac{2 \,{\mathrm e}^{x}+1+\sqrt{5}}{\sqrt{5}+1}\right)}{2}+\frac{\sqrt{5}\, \dilog \left(\frac{-2 \,{\mathrm e}^{x}+\sqrt{5}-1}{\sqrt{5}-1}\right)}{10}+\frac{\dilog \left(\frac{-2 \,{\mathrm e}^{x}+\sqrt{5}-1}{\sqrt{5}-1}\right)}{2}"," ",0,"1/10*5^(1/2)*x*ln((5^(1/2)-1-2*exp(x))/(5^(1/2)-1))+1/2*x*ln((5^(1/2)-1-2*exp(x))/(5^(1/2)-1))-1/10*5^(1/2)*x*ln((1+2*exp(x)+5^(1/2))/(5^(1/2)+1))+1/2*x*ln((1+2*exp(x)+5^(1/2))/(5^(1/2)+1))+1/10*5^(1/2)*dilog((5^(1/2)-1-2*exp(x))/(5^(1/2)-1))+1/2*dilog((5^(1/2)-1-2*exp(x))/(5^(1/2)-1))-1/10*5^(1/2)*dilog((1+2*exp(x)+5^(1/2))/(5^(1/2)+1))+1/2*dilog((1+2*exp(x)+5^(1/2))/(5^(1/2)+1))-1/2*x^2","A"
513,1,235,159,0.022000," ","int(x/(3*exp(x)+exp(2*x)+3),x)","\frac{x^{2}}{6}+\frac{i \sqrt{3}\, x \ln \left(\frac{-2 \,{\mathrm e}^{x}+i \sqrt{3}-3}{-3+i \sqrt{3}}\right)}{6}-\frac{x \ln \left(\frac{-2 \,{\mathrm e}^{x}+i \sqrt{3}-3}{-3+i \sqrt{3}}\right)}{6}-\frac{i \sqrt{3}\, x \ln \left(\frac{2 \,{\mathrm e}^{x}+i \sqrt{3}+3}{3+i \sqrt{3}}\right)}{6}-\frac{x \ln \left(\frac{2 \,{\mathrm e}^{x}+i \sqrt{3}+3}{3+i \sqrt{3}}\right)}{6}+\frac{i \sqrt{3}\, \dilog \left(\frac{-2 \,{\mathrm e}^{x}+i \sqrt{3}-3}{-3+i \sqrt{3}}\right)}{6}-\frac{\dilog \left(\frac{-2 \,{\mathrm e}^{x}+i \sqrt{3}-3}{-3+i \sqrt{3}}\right)}{6}-\frac{i \sqrt{3}\, \dilog \left(\frac{2 \,{\mathrm e}^{x}+i \sqrt{3}+3}{3+i \sqrt{3}}\right)}{6}-\frac{\dilog \left(\frac{2 \,{\mathrm e}^{x}+i \sqrt{3}+3}{3+i \sqrt{3}}\right)}{6}"," ",0,"1/6*I*3^(1/2)*x*ln((I*3^(1/2)-2*exp(x)-3)/(-3+I*3^(1/2)))-1/6*x*ln((I*3^(1/2)-2*exp(x)-3)/(-3+I*3^(1/2)))-1/6*I*3^(1/2)*x*ln((I*3^(1/2)+2*exp(x)+3)/(3+I*3^(1/2)))-1/6*x*ln((I*3^(1/2)+2*exp(x)+3)/(3+I*3^(1/2)))+1/6*I*3^(1/2)*dilog((I*3^(1/2)-2*exp(x)-3)/(-3+I*3^(1/2)))-1/6*dilog((I*3^(1/2)-2*exp(x)-3)/(-3+I*3^(1/2)))-1/6*I*3^(1/2)*dilog((I*3^(1/2)+2*exp(x)+3)/(3+I*3^(1/2)))-1/6*dilog((I*3^(1/2)+2*exp(x)+3)/(3+I*3^(1/2)))+1/6*x^2","A"
514,1,378,252,0.024000," ","int(x/(b*exp(x)+c*exp(2*x)+a),x)","-\frac{b x \ln \left(\frac{-2 c \,{\mathrm e}^{x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}+\frac{b x \ln \left(\frac{2 c \,{\mathrm e}^{x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}-\frac{b \dilog \left(\frac{-2 c \,{\mathrm e}^{x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}+\frac{b \dilog \left(\frac{2 c \,{\mathrm e}^{x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a}+\frac{x^{2}}{2 a}-\frac{x \ln \left(\frac{-2 c \,{\mathrm e}^{x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}-\frac{x \ln \left(\frac{2 c \,{\mathrm e}^{x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}-\frac{\dilog \left(\frac{-2 c \,{\mathrm e}^{x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}-\frac{\dilog \left(\frac{2 c \,{\mathrm e}^{x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a}"," ",0,"-1/2/a*x*ln((-2*c*exp(x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))-1/2/a*x/(-4*a*c+b^2)^(1/2)*ln((-2*c*exp(x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b-1/2/a*x*ln((2*c*exp(x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))+1/2/a*x/(-4*a*c+b^2)^(1/2)*ln((2*c*exp(x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))*b-1/2/a*dilog((2*c*exp(x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))+1/2/a/(-4*a*c+b^2)^(1/2)*dilog((2*c*exp(x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))*b-1/2/a*dilog((-2*c*exp(x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))-1/2/a/(-4*a*c+b^2)^(1/2)*dilog((-2*c*exp(x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b+1/2/a*x^2","A"
515,1,65,64,0.041000," ","int(x^2/(1+2*exp(x)+exp(2*x)),x)","\frac{x^{3}}{3}-x^{2} \ln \left({\mathrm e}^{x}+1\right)-x^{2}+\frac{x^{2}}{{\mathrm e}^{x}+1}-2 x \polylog \left(2, -{\mathrm e}^{x}\right)+2 x \ln \left({\mathrm e}^{x}+1\right)+2 \polylog \left(2, -{\mathrm e}^{x}\right)+2 \polylog \left(3, -{\mathrm e}^{x}\right)"," ",0,"-x^2+x^2/(exp(x)+1)+1/3*x^3+2*x*ln(exp(x)+1)-x^2*ln(exp(x)+1)+2*polylog(2,-exp(x))-2*x*polylog(2,-exp(x))+2*polylog(3,-exp(x))","A"
516,1,62,61,0.017000," ","int(x^2/(2+3*exp(x)+exp(2*x)),x)","\frac{x^{3}}{6}-x^{2} \ln \left({\mathrm e}^{x}+1\right)+\frac{x^{2} \ln \left(\frac{{\mathrm e}^{x}}{2}+1\right)}{2}-2 x \polylog \left(2, -{\mathrm e}^{x}\right)+x \polylog \left(2, -\frac{{\mathrm e}^{x}}{2}\right)+2 \polylog \left(3, -{\mathrm e}^{x}\right)-\polylog \left(3, -\frac{{\mathrm e}^{x}}{2}\right)"," ",0,"1/6*x^3+1/2*x^2*ln(1/2*exp(x)+1)-x^2*ln(exp(x)+1)-2*x*polylog(2,-exp(x))+x*polylog(2,-1/2*exp(x))+2*polylog(3,-exp(x))-polylog(3,-1/2*exp(x))","A"
517,0,0,205,0.045000," ","int(x^2/(exp(x)+exp(2*x)-1),x)","\int \frac{x^{2}}{{\mathrm e}^{x}+{\mathrm e}^{2 x}-1}\, dx"," ",0,"int(x^2/(exp(x)+exp(2*x)-1),x)","F"
518,0,0,225,0.043000," ","int(x^2/(3*exp(x)+exp(2*x)+3),x)","\int \frac{x^{2}}{3 \,{\mathrm e}^{x}+{\mathrm e}^{2 x}+3}\, dx"," ",0,"int(x^2/(3*exp(x)+exp(2*x)+3),x)","F"
519,0,0,353,0.046000," ","int(x^2/(b*exp(x)+c*exp(2*x)+a),x)","\int \frac{x^{2}}{b \,{\mathrm e}^{x}+c \,{\mathrm e}^{2 x}+a}\, dx"," ",0,"int(x^2/(b*exp(x)+c*exp(2*x)+a),x)","F"
520,1,68,40,0.026000," ","int(1/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x)","-\frac{\ln \left({\mathrm e}^{\left(d x +c \right) \ln \left(f \right)}+1\right)}{d \ln \left(f \right)}+\frac{x \,{\mathrm e}^{\left(d x +c \right) \ln \left(f \right)}+x -\frac{{\mathrm e}^{\left(d x +c \right) \ln \left(f \right)}}{d \ln \left(f \right)}}{{\mathrm e}^{\left(d x +c \right) \ln \left(f \right)}+1}"," ",0,"(x+x*exp((d*x+c)*ln(f))-1/d/ln(f)*exp((d*x+c)*ln(f)))/(exp((d*x+c)*ln(f))+1)-1/d/ln(f)*ln(exp((d*x+c)*ln(f))+1)","A"
521,1,547,88,0.114000," ","int(1/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x)","\frac{4 a c \,d^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,d^{2} \ln \left(f \right)^{2}-a \,b^{2} d^{2} \ln \left(f \right)^{2}}-\frac{b^{2} d^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,d^{2} \ln \left(f \right)^{2}-a \,b^{2} d^{2} \ln \left(f \right)^{2}}+\frac{4 a \,c^{2} d \ln \left(f \right)^{2}}{4 a^{2} c \,d^{2} \ln \left(f \right)^{2}-a \,b^{2} d^{2} \ln \left(f \right)^{2}}-\frac{b^{2} c d \ln \left(f \right)^{2}}{4 a^{2} c \,d^{2} \ln \left(f \right)^{2}-a \,b^{2} d^{2} \ln \left(f \right)^{2}}+\frac{b^{2} \ln \left(f^{d x +c}-\frac{-b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a d \ln \left(f \right)}+\frac{b^{2} \ln \left(f^{d x +c}+\frac{b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a d \ln \left(f \right)}-\frac{2 c \ln \left(f^{d x +c}-\frac{-b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{\left(4 a c -b^{2}\right) d \ln \left(f \right)}-\frac{2 c \ln \left(f^{d x +c}+\frac{b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{\left(4 a c -b^{2}\right) d \ln \left(f \right)}+\frac{\sqrt{-4 a \,b^{2} c +b^{4}}\, \ln \left(f^{d x +c}-\frac{-b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a d \ln \left(f \right)}-\frac{\sqrt{-4 a \,b^{2} c +b^{4}}\, \ln \left(f^{d x +c}+\frac{b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a d \ln \left(f \right)}"," ",0,"4/(4*ln(f)^2*a^2*c*d^2-ln(f)^2*a*b^2*d^2)*ln(f)^2*a*c*d^2*x-1/(4*ln(f)^2*a^2*c*d^2-ln(f)^2*a*b^2*d^2)*ln(f)^2*b^2*d^2*x+4/(4*ln(f)^2*a^2*c*d^2-ln(f)^2*a*b^2*d^2)*ln(f)^2*a*c^2*d-1/(4*ln(f)^2*a^2*c*d^2-ln(f)^2*a*b^2*d^2)*ln(f)^2*b^2*c*d-2/(4*a*c-b^2)/d/ln(f)*ln(f^(d*x+c)-1/2*(-b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*c+1/2/a/(4*a*c-b^2)/d/ln(f)*ln(f^(d*x+c)-1/2*(-b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*b^2+1/2/a/(4*a*c-b^2)/d/ln(f)*ln(f^(d*x+c)-1/2*(-b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*(-4*a*b^2*c+b^4)^(1/2)-2/(4*a*c-b^2)/d/ln(f)*ln(f^(d*x+c)+1/2*(b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*c+1/2/a/(4*a*c-b^2)/d/ln(f)*ln(f^(d*x+c)+1/2*(b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*b^2-1/2/a/(4*a*c-b^2)/d/ln(f)*ln(f^(d*x+c)+1/2*(b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*(-4*a*b^2*c+b^4)^(1/2)","B"
522,1,546,88,0.108000," ","int(1/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x)","\frac{4 a c \,h^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}-\frac{b^{2} h^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}+\frac{4 a c g h \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}-\frac{b^{2} g h \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}+\frac{b^{2} \ln \left(f^{h x +g}-\frac{-b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}+\frac{b^{2} \ln \left(f^{h x +g}+\frac{b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}-\frac{2 c \ln \left(f^{h x +g}-\frac{-b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{\left(4 a c -b^{2}\right) h \ln \left(f \right)}-\frac{2 c \ln \left(f^{h x +g}+\frac{b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{\left(4 a c -b^{2}\right) h \ln \left(f \right)}+\frac{\sqrt{-4 a \,b^{2} c +b^{4}}\, \ln \left(f^{h x +g}-\frac{-b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}-\frac{\sqrt{-4 a \,b^{2} c +b^{4}}\, \ln \left(f^{h x +g}+\frac{b^{2}+\sqrt{-4 a \,b^{2} c +b^{4}}}{2 b c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}"," ",0,"4/(4*ln(f)^2*a^2*c*h^2-ln(f)^2*a*b^2*h^2)*ln(f)^2*a*c*h^2*x-1/(4*ln(f)^2*a^2*c*h^2-ln(f)^2*a*b^2*h^2)*ln(f)^2*b^2*h^2*x+4/(4*ln(f)^2*a^2*c*h^2-ln(f)^2*a*b^2*h^2)*ln(f)^2*a*c*g*h-1/(4*ln(f)^2*a^2*c*h^2-ln(f)^2*a*b^2*h^2)*ln(f)^2*b^2*g*h-2/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)-1/2*(-b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*c+1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)-1/2*(-b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*b^2+1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)-1/2*(-b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*(-4*a*b^2*c+b^4)^(1/2)-2/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)+1/2*(b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*c+1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)+1/2*(b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*b^2-1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)+1/2*(b^2+(-4*a*b^2*c+b^4)^(1/2))/b/c)*(-4*a*b^2*c+b^4)^(1/2)","B"
523,1,143,94,0.075000," ","int(x/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x)","\frac{x^{2}}{2}+\frac{c x}{d}+\frac{c^{2}}{2 d^{2}}-\frac{x \ln \left(f^{c} f^{d x}+1\right)}{d \ln \left(f \right)}-\frac{c \ln \left(f^{c} f^{d x}\right)}{d^{2} \ln \left(f \right)}+\frac{x}{\left(f^{d x +c}+1\right) d \ln \left(f \right)}-\frac{\polylog \left(2, -f^{c} f^{d x}\right)}{d^{2} \ln \left(f \right)^{2}}-\frac{\ln \left(f^{c} f^{d x}\right)}{d^{2} \ln \left(f \right)^{2}}+\frac{\ln \left(f^{c} f^{d x}+1\right)}{d^{2} \ln \left(f \right)^{2}}"," ",0,"x/d/(1+f^(d*x+c))/ln(f)+1/2*x^2+c/d*x+1/2*c^2/d^2-1/d/ln(f)*ln(f^(d*x)*f^c+1)*x-1/d^2/ln(f)^2*polylog(2,-f^(d*x)*f^c)+1/d^2/ln(f)^2*ln(f^(d*x)*f^c+1)-1/d^2/ln(f)^2*ln(f^(d*x)*f^c)-1/d^2/ln(f)*c*ln(f^(d*x)*f^c)","A"
524,1,855,310,0.097000," ","int(x/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x)","\frac{x^{2}}{2 a}-\frac{b x \ln \left(\frac{-2 c \,f^{c} f^{d x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a d \ln \left(f \right)}+\frac{b x \ln \left(\frac{2 c \,f^{c} f^{d x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a d \ln \left(f \right)}+\frac{c x}{a d}+\frac{b c \arctan \left(\frac{2 c \,f^{c} f^{d x}+b}{\sqrt{4 a c -b^{2}}}\right)}{\sqrt{4 a c -b^{2}}\, a \,d^{2} \ln \left(f \right)}-\frac{b c \ln \left(\frac{-2 c \,f^{c} f^{d x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a \,d^{2} \ln \left(f \right)}+\frac{b c \ln \left(\frac{2 c \,f^{c} f^{d x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a \,d^{2} \ln \left(f \right)}+\frac{c^{2}}{2 a \,d^{2}}-\frac{x \ln \left(\frac{-2 c \,f^{c} f^{d x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a d \ln \left(f \right)}-\frac{x \ln \left(\frac{2 c \,f^{c} f^{d x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a d \ln \left(f \right)}-\frac{c \ln \left(f^{c} f^{d x}\right)}{a \,d^{2} \ln \left(f \right)}-\frac{c \ln \left(\frac{-2 c \,f^{c} f^{d x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a \,d^{2} \ln \left(f \right)}-\frac{c \ln \left(\frac{2 c \,f^{c} f^{d x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a \,d^{2} \ln \left(f \right)}+\frac{c \ln \left(b \,f^{c} f^{d x}+c \,f^{2 c} f^{2 d x}+a \right)}{2 a \,d^{2} \ln \left(f \right)}-\frac{b \dilog \left(\frac{-2 c \,f^{c} f^{d x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a \,d^{2} \ln \left(f \right)^{2}}+\frac{b \dilog \left(\frac{2 c \,f^{c} f^{d x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 \sqrt{-4 a c +b^{2}}\, a \,d^{2} \ln \left(f \right)^{2}}-\frac{\dilog \left(\frac{-2 c \,f^{c} f^{d x}-b +\sqrt{-4 a c +b^{2}}}{-b +\sqrt{-4 a c +b^{2}}}\right)}{2 a \,d^{2} \ln \left(f \right)^{2}}-\frac{\dilog \left(\frac{2 c \,f^{c} f^{d x}+b +\sqrt{-4 a c +b^{2}}}{b +\sqrt{-4 a c +b^{2}}}\right)}{2 a \,d^{2} \ln \left(f \right)^{2}}"," ",0,"-1/2/d/ln(f)/a*ln((-2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*x-1/2/d^2/ln(f)/a*ln((-2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*c-1/2/d/ln(f)/a/(-4*a*c+b^2)^(1/2)*ln((-2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b*x-1/2/d^2/ln(f)/a/(-4*a*c+b^2)^(1/2)*ln((-2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b*c-1/2/d/ln(f)/a*ln((2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))*x-1/2/d^2/ln(f)/a*ln((2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))*c+1/2/d/ln(f)/a/(-4*a*c+b^2)^(1/2)*ln((2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))*b*x+1/2/d^2/ln(f)/a/(-4*a*c+b^2)^(1/2)*ln((2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))*b*c-1/2/d^2/ln(f)^2/a*dilog((2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))+1/2/d^2/ln(f)^2/a/(-4*a*c+b^2)^(1/2)*dilog((2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)+b)/(b+(-4*a*c+b^2)^(1/2)))*b-1/2/d^2/ln(f)^2/a*dilog((-2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))-1/2/d^2/ln(f)^2/a/(-4*a*c+b^2)^(1/2)*dilog((-2*c*f^c*f^(d*x)+(-4*a*c+b^2)^(1/2)-b)/(-b+(-4*a*c+b^2)^(1/2)))*b+1/2/a*x^2+1/a*c/d*x+1/2/a*c^2/d^2+1/2/d^2/ln(f)*c/a*ln(a+b*f^c*f^(d*x)+c*(f^c)^2*(f^(d*x))^2)+1/d^2/ln(f)*c/a*b/(4*a*c-b^2)^(1/2)*arctan((2*c*f^c*f^(d*x)+b)/(4*a*c-b^2)^(1/2))-1/d^2/ln(f)*c/a*ln(f^c*f^(d*x))","B"
525,1,232,143,0.081000," ","int(x^2/(1+2*f^(d*x+c)+f^(2*d*x+2*c)),x)","\frac{x^{3}}{3}-\frac{c^{2} x}{d^{2}}-\frac{x^{2} \ln \left(f^{c} f^{d x}+1\right)}{d \ln \left(f \right)}-\frac{2 c^{3}}{3 d^{3}}+\frac{x^{2}}{\left(f^{d x +c}+1\right) d \ln \left(f \right)}-\frac{x^{2}}{d \ln \left(f \right)}+\frac{c^{2} \ln \left(f^{c} f^{d x}\right)}{d^{3} \ln \left(f \right)}-\frac{2 c x}{d^{2} \ln \left(f \right)}-\frac{c^{2}}{d^{3} \ln \left(f \right)}-\frac{2 x \polylog \left(2, -f^{c} f^{d x}\right)}{d^{2} \ln \left(f \right)^{2}}+\frac{2 x \ln \left(f^{c} f^{d x}+1\right)}{d^{2} \ln \left(f \right)^{2}}+\frac{2 c \ln \left(f^{c} f^{d x}\right)}{d^{3} \ln \left(f \right)^{2}}+\frac{2 \polylog \left(2, -f^{c} f^{d x}\right)}{d^{3} \ln \left(f \right)^{3}}+\frac{2 \polylog \left(3, -f^{c} f^{d x}\right)}{d^{3} \ln \left(f \right)^{3}}"," ",0,"x^2/d/(f^(d*x+c)+1)/ln(f)+1/3*x^3-c^2/d^2*x-2/3*c^3/d^3-1/d/ln(f)*ln(f^c*f^(d*x)+1)*x^2-2/d^2/ln(f)^2*polylog(2,-f^c*f^(d*x))*x+2/d^3/ln(f)^3*polylog(3,-f^c*f^(d*x))+1/d^3/ln(f)*c^2*ln(f^c*f^(d*x))-x^2/d/ln(f)-2/d^2/ln(f)*c*x-1/d^3/ln(f)*c^2+2/d^2/ln(f)^2*ln(f^c*f^(d*x)+1)*x+2/d^3/ln(f)^3*polylog(2,-f^c*f^(d*x))+2/d^3/ln(f)^2*c*ln(f^c*f^(d*x))","A"
526,0,0,440,0.161000," ","int(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x)","\int \frac{x^{2}}{b \,f^{d x +c}+c \,f^{2 d x +2 c}+a}\, dx"," ",0,"int(x^2/(a+b*f^(d*x+c)+c*f^(2*d*x+2*c)),x)","F"
527,1,993,97,0.172000," ","int((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x)","\frac{4 a c d \,h^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}-\frac{b^{2} d \,h^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}+\frac{4 a c d g h \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}-\frac{b^{2} d g h \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}+\frac{b^{2} d \ln \left(f^{h x +g}-\frac{-2 a b e +b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}+\frac{b^{2} d \ln \left(f^{h x +g}+\frac{2 a b e -b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}-\frac{2 c d \ln \left(f^{h x +g}-\frac{-2 a b e +b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{\left(4 a c -b^{2}\right) h \ln \left(f \right)}-\frac{2 c d \ln \left(f^{h x +g}+\frac{2 a b e -b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{\left(4 a c -b^{2}\right) h \ln \left(f \right)}-\frac{\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}\, \ln \left(f^{h x +g}-\frac{-2 a b e +b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}+\frac{\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}\, \ln \left(f^{h x +g}+\frac{2 a b e -b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}"," ",0,"4/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*ln(f)^2*a*c*d*h^2*x-1/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*ln(f)^2*b^2*d*h^2*x+4/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*ln(f)^2*a*c*d*g*h-1/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*ln(f)^2*b^2*d*g*h-2/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)+1/2*(2*a*b*e-b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/c/(2*a*e-b*d))*c*d+1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)+1/2*(2*a*b*e-b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/c/(2*a*e-b*d))*b^2*d+1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)+1/2*(2*a*b*e-b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/c/(2*a*e-b*d))*(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2)-2/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)-1/2*(-2*a*b*e+b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/c/(2*a*e-b*d))*c*d+1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)-1/2*(-2*a*b*e+b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/c/(2*a*e-b*d))*b^2*d-1/2/a/(4*a*c-b^2)/h/ln(f)*ln(f^(h*x+g)-1/2*(-2*a*b*e+b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/c/(2*a*e-b*d))*(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2)","B"
528,1,993,97,0.026000," ","int((d+e*f^(h*x+g))/(a+b*f^(h*x+g)+c*f^(2*h*x+2*g)),x)","\frac{4 a c d \,h^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}-\frac{b^{2} d \,h^{2} x \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}+\frac{4 a c d g h \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}-\frac{b^{2} d g h \ln \left(f \right)^{2}}{4 a^{2} c \,h^{2} \ln \left(f \right)^{2}-a \,b^{2} h^{2} \ln \left(f \right)^{2}}+\frac{b^{2} d \ln \left(f^{h x +g}-\frac{-2 a b e +b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}+\frac{b^{2} d \ln \left(f^{h x +g}+\frac{2 a b e -b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}-\frac{2 c d \ln \left(f^{h x +g}-\frac{-2 a b e +b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{\left(4 a c -b^{2}\right) h \ln \left(f \right)}-\frac{2 c d \ln \left(f^{h x +g}+\frac{2 a b e -b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{\left(4 a c -b^{2}\right) h \ln \left(f \right)}-\frac{\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}\, \ln \left(f^{h x +g}-\frac{-2 a b e +b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}+\frac{\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}\, \ln \left(f^{h x +g}+\frac{2 a b e -b^{2} d +\sqrt{-16 a^{3} c \,e^{2}+4 a^{2} b^{2} e^{2}+16 a^{2} b c d e -4 a \,b^{3} d e -4 a \,b^{2} c \,d^{2}+b^{4} d^{2}}}{2 \left(2 a e -b d \right) c}\right)}{2 \left(4 a c -b^{2}\right) a h \ln \left(f \right)}"," ",0,"4/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*a*c*d*h^2*x*ln(f)^2-1/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*b^2*d*h^2*x*ln(f)^2+4/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*a*c*d*g*h*ln(f)^2-1/(4*a^2*c*h^2*ln(f)^2-a*b^2*h^2*ln(f)^2)*b^2*d*g*h*ln(f)^2+1/2/(4*a*c-b^2)/a*b^2*d/h/ln(f)*ln(f^(h*x+g)-1/2*(-2*a*b*e+b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/(2*a*e-b*d)/c)+1/2/(4*a*c-b^2)/a*b^2*d/h/ln(f)*ln(f^(h*x+g)+1/2*(2*a*b*e-b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/(2*a*e-b*d)/c)-2/(4*a*c-b^2)*c*d/h/ln(f)*ln(f^(h*x+g)-1/2*(-2*a*b*e+b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/(2*a*e-b*d)/c)-2/(4*a*c-b^2)*c*d/h/ln(f)*ln(f^(h*x+g)+1/2*(2*a*b*e-b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/(2*a*e-b*d)/c)-1/2/(4*a*c-b^2)*(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2)/a/h/ln(f)*ln(f^(h*x+g)-1/2*(-2*a*b*e+b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/(2*a*e-b*d)/c)+1/2/(4*a*c-b^2)*(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2)/a/h/ln(f)*ln(f^(h*x+g)+1/2*(2*a*b*e-b^2*d+(-16*a^3*c*e^2+4*a^2*b^2*e^2+16*a^2*b*c*d*e-4*a*b^3*d*e-4*a*b^2*c*d^2+b^4*d^2)^(1/2))/(2*a*e-b*d)/c)","B"
529,1,9,8,0.015000," ","int(1/(2+exp(-x)+exp(x)),x)","-\frac{1}{{\mathrm e}^{x}+1}"," ",0,"-1/(exp(x)+1)","A"
530,1,19,18,0.021000," ","int(x/(2+exp(-x)+exp(x)),x)","\frac{x \,{\mathrm e}^{x}}{{\mathrm e}^{x}+1}-\ln \left({\mathrm e}^{x}+1\right)"," ",0,"-ln(exp(x)+1)+1/(exp(x)+1)*x*exp(x)","A"
531,1,32,31,0.030000," ","int(x^2/(2+exp(-x)+exp(x)),x)","x^{2}-\frac{x^{2}}{{\mathrm e}^{x}+1}-2 x \ln \left({\mathrm e}^{x}+1\right)-2 \polylog \left(2, -{\mathrm e}^{x}\right)"," ",0,"x^2-1/(exp(x)+1)*x^2-2*x*ln(exp(x)+1)-2*polylog(2,-exp(x))","A"
532,1,25,20,0.026000," ","int(1/(2+f^(-d*x-c)+f^(d*x+c)),x)","\frac{1}{\left({\mathrm e}^{\left(-d x -c \right) \ln \left(f \right)}+1\right) d \ln \left(f \right)}"," ",0,"1/d/ln(f)/(exp((-d*x-c)*ln(f))+1)","A"
533,1,64,50,0.028000," ","int(x/(2+f^(-d*x-c)+f^(d*x+c)),x)","-\frac{x \,{\mathrm e}^{\left(-d x -c \right) \ln \left(f \right)}}{\left({\mathrm e}^{\left(-d x -c \right) \ln \left(f \right)}+1\right) d \ln \left(f \right)}-\frac{\ln \left({\mathrm e}^{\left(-d x -c \right) \ln \left(f \right)}+1\right)}{d^{2} \ln \left(f \right)^{2}}"," ",0,"-1/d/ln(f)*x*exp((-d*x-c)*ln(f))/(exp((-d*x-c)*ln(f))+1)-1/d^2/ln(f)^2*ln(exp((-d*x-c)*ln(f))+1)","A"
534,1,134,75,0.079000," ","int(x^2/(2+f^(-d*x-c)+f^(d*x+c)),x)","\frac{x^{2}}{\left(f^{-d x -c}+1\right) d \ln \left(f \right)}-\frac{x^{2}}{d \ln \left(f \right)}-\frac{2 c x}{d^{2} \ln \left(f \right)}-\frac{c^{2}}{d^{3} \ln \left(f \right)}-\frac{2 x \ln \left(f^{-c} f^{-d x}+1\right)}{d^{2} \ln \left(f \right)^{2}}-\frac{2 c \ln \left(f^{-c} f^{-d x}\right)}{d^{3} \ln \left(f \right)^{2}}+\frac{2 \polylog \left(2, -f^{-c} f^{-d x}\right)}{d^{3} \ln \left(f \right)^{3}}"," ",0,"1/d/ln(f)*x^2/(f^(-d*x-c)+1)-1/d*x^2/ln(f)-2*c/d^2*x/ln(f)-c^2/d^3/ln(f)-2/ln(f)^2/d^2*ln(f^(-d*x)*f^(-c)+1)*x+2/ln(f)^3/d^3*polylog(2,-f^(-d*x)*f^(-c))-2/ln(f)^2/d^3*c*ln(f^(-d*x)*f^(-c))","A"
535,1,14,13,0.008000," ","int(1/(2+1/(3^x)+3^x),x)","-\frac{1}{\left(3^{x}+1\right) \ln \left(3\right)}"," ",0,"-1/(1+3^x)/ln(3)","A"
536,1,18,17,0.010000," ","int(1/(1-1/exp(x)+2*exp(x)),x)","-\frac{\ln \left({\mathrm e}^{x}+1\right)}{3}+\frac{\ln \left(2 \,{\mathrm e}^{x}-1\right)}{3}"," ",0,"1/3*ln(2*exp(x)-1)-1/3*ln(exp(x)+1)","A"
537,1,36,31,0.007000," ","int(1/(a+b/exp(x)+c*exp(x)),x)","\frac{2 \arctan \left(\frac{2 c \,{\mathrm e}^{x}+a}{\sqrt{-a^{2}+4 b c}}\right)}{\sqrt{-a^{2}+4 b c}}"," ",0,"2/(-a^2+4*b*c)^(1/2)*arctan((a+2*c*exp(x))/(-a^2+4*b*c)^(1/2))","A"
538,1,180,139,0.018000," ","int(x/(a+b/exp(x)+c*exp(x)),x)","\frac{\left(\ln \left(\frac{-2 c \,{\mathrm e}^{x}-a +\sqrt{a^{2}-4 b c}}{-a +\sqrt{a^{2}-4 b c}}\right)-\ln \left(\frac{2 c \,{\mathrm e}^{x}+a +\sqrt{a^{2}-4 b c}}{a +\sqrt{a^{2}-4 b c}}\right)\right) x}{\sqrt{a^{2}-4 b c}}+\frac{\dilog \left(\frac{-2 c \,{\mathrm e}^{x}-a +\sqrt{a^{2}-4 b c}}{-a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}}-\frac{\dilog \left(\frac{2 c \,{\mathrm e}^{x}+a +\sqrt{a^{2}-4 b c}}{a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}}"," ",0,"x*(ln((-2*c*exp(x)+(a^2-4*b*c)^(1/2)-a)/(-a+(a^2-4*b*c)^(1/2)))-ln((2*c*exp(x)+(a^2-4*b*c)^(1/2)+a)/(a+(a^2-4*b*c)^(1/2))))/(a^2-4*b*c)^(1/2)+1/(a^2-4*b*c)^(1/2)*dilog((-2*c*exp(x)+(a^2-4*b*c)^(1/2)-a)/(-a+(a^2-4*b*c)^(1/2)))-1/(a^2-4*b*c)^(1/2)*dilog((2*c*exp(x)+(a^2-4*b*c)^(1/2)+a)/(a+(a^2-4*b*c)^(1/2)))","A"
539,0,0,214,0.031000," ","int(x^2/(a+b/exp(x)+c*exp(x)),x)","\int \frac{x^{2}}{b \,{\mathrm e}^{-x}+c \,{\mathrm e}^{x}+a}\, dx"," ",0,"int(x^2/(a+b/exp(x)+c*exp(x)),x)","F"
540,1,135,43,0.053000," ","int(1/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x)","-\frac{\ln \left(f^{-d x -c}+\frac{-a^{2}+4 b c +\sqrt{a^{2}-4 b c}\, a}{2 \sqrt{a^{2}-4 b c}\, b}\right)}{\sqrt{a^{2}-4 b c}\, d \ln \left(f \right)}+\frac{\ln \left(f^{-d x -c}+\frac{a^{2}-4 b c +\sqrt{a^{2}-4 b c}\, a}{2 \sqrt{a^{2}-4 b c}\, b}\right)}{\sqrt{a^{2}-4 b c}\, d \ln \left(f \right)}"," ",0,"1/(a^2-4*b*c)^(1/2)/d/ln(f)*ln(f^(-d*x-c)+1/2*(a*(a^2-4*b*c)^(1/2)+a^2-4*b*c)/b/(a^2-4*b*c)^(1/2))-1/(a^2-4*b*c)^(1/2)/d/ln(f)*ln(f^(-d*x-c)+1/2*(a*(a^2-4*b*c)^(1/2)-a^2+4*b*c)/b/(a^2-4*b*c)^(1/2))","B"
541,1,433,187,0.094000," ","int(x/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x)","-\frac{x \ln \left(\frac{-2 b \,f^{-c} f^{-d x}-a +\sqrt{a^{2}-4 b c}}{-a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}\, d \ln \left(f \right)}+\frac{x \ln \left(\frac{2 b \,f^{-c} f^{-d x}+a +\sqrt{a^{2}-4 b c}}{a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}\, d \ln \left(f \right)}+\frac{2 c \arctan \left(\frac{2 b \,f^{-c} f^{-d x}+a}{\sqrt{-a^{2}+4 b c}}\right)}{\sqrt{-a^{2}+4 b c}\, d^{2} \ln \left(f \right)}-\frac{c \ln \left(\frac{-2 b \,f^{-c} f^{-d x}-a +\sqrt{a^{2}-4 b c}}{-a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}\, d^{2} \ln \left(f \right)}+\frac{c \ln \left(\frac{2 b \,f^{-c} f^{-d x}+a +\sqrt{a^{2}-4 b c}}{a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}\, d^{2} \ln \left(f \right)}+\frac{\dilog \left(\frac{-2 b \,f^{-c} f^{-d x}-a +\sqrt{a^{2}-4 b c}}{-a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}\, d^{2} \ln \left(f \right)^{2}}-\frac{\dilog \left(\frac{2 b \,f^{-c} f^{-d x}+a +\sqrt{a^{2}-4 b c}}{a +\sqrt{a^{2}-4 b c}}\right)}{\sqrt{a^{2}-4 b c}\, d^{2} \ln \left(f \right)^{2}}"," ",0,"1/ln(f)/d/(a^2-4*b*c)^(1/2)*ln((2*b*f^(-c)*f^(-d*x)+(a^2-4*b*c)^(1/2)+a)/(a+(a^2-4*b*c)^(1/2)))*x-1/ln(f)/d/(a^2-4*b*c)^(1/2)*ln((-2*b*f^(-c)*f^(-d*x)+(a^2-4*b*c)^(1/2)-a)/(-a+(a^2-4*b*c)^(1/2)))*x+1/ln(f)/d^2/(a^2-4*b*c)^(1/2)*ln((2*b*f^(-c)*f^(-d*x)+(a^2-4*b*c)^(1/2)+a)/(a+(a^2-4*b*c)^(1/2)))*c-1/ln(f)/d^2/(a^2-4*b*c)^(1/2)*ln((-2*b*f^(-c)*f^(-d*x)+(a^2-4*b*c)^(1/2)-a)/(-a+(a^2-4*b*c)^(1/2)))*c+1/ln(f)^2/d^2/(a^2-4*b*c)^(1/2)*dilog((-2*b*f^(-c)*f^(-d*x)+(a^2-4*b*c)^(1/2)-a)/(-a+(a^2-4*b*c)^(1/2)))-1/ln(f)^2/d^2/(a^2-4*b*c)^(1/2)*dilog((2*b*f^(-c)*f^(-d*x)+(a^2-4*b*c)^(1/2)+a)/(a+(a^2-4*b*c)^(1/2)))+2/ln(f)/d^2*c/(-a^2+4*b*c)^(1/2)*arctan((2*b*f^(-c)*f^(-d*x)+a)/(-a^2+4*b*c)^(1/2))","B"
542,0,0,286,0.155000," ","int(x^2/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x)","\int \frac{x^{2}}{b \,f^{-d x -c}+c \,f^{d x +c}+a}\, dx"," ",0,"int(x^2/(a+b*f^(-d*x-c)+c*f^(d*x+c)),x)","F"
543,0,0,48,0.174000," ","int((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)","\int \frac{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{g x +f}}}+a \right)^{n}}{e g \,x^{2}+d f +\left(d g +e f \right) x}\, dx"," ",0,"int((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)","F"
544,0,0,138,0.150000," ","int((b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)^3/(e*g*x^2+d*f+(d*g+e*f)*x),x)","\int \frac{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{g x +f}}}+a \right)^{3}}{e g \,x^{2}+d f +\left(d g +e f \right) x}\, dx"," ",0,"int((b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)^3/(e*g*x^2+d*f+(d*g+e*f)*x),x)","F"
545,0,0,100,0.154000," ","int((b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)^2/(e*g*x^2+d*f+(d*g+e*f)*x),x)","\int \frac{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{g x +f}}}+a \right)^{2}}{e g \,x^{2}+d f +\left(d g +e f \right) x}\, dx"," ",0,"int((b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)^2/(e*g*x^2+d*f+(d*g+e*f)*x),x)","F"
546,0,0,62,0.156000," ","int((b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)/(e*g*x^2+d*f+(d*g+e*f)*x),x)","\int \frac{b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{g x +f}}}+a}{e g \,x^{2}+d f +\left(d g +e f \right) x}\, dx"," ",0,"int((b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)/(e*g*x^2+d*f+(d*g+e*f)*x),x)","F"
547,1,37,36,0.008000," ","int(1/(e*g*x^2+d*f+(d*g+e*f)*x),x)","-\frac{\ln \left(e x +d \right)}{d g -e f}+\frac{\ln \left(g x +f \right)}{d g -e f}"," ",0,"1/(d*g-e*f)*ln(g*x+f)-1/(d*g-e*f)*ln(e*x+d)","A"
548,0,0,48,0.161000," ","int(1/(b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)/(e*g*x^2+d*f+(d*g+e*f)*x),x)","\int \frac{1}{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{g x +f}}}+a \right) \left(e g \,x^{2}+d f +\left(d g +e f \right) x \right)}\, dx"," ",0,"int(1/(b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)/(e*g*x^2+d*f+(d*g+e*f)*x),x)","F"
549,0,0,48,0.149000," ","int(1/(b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)^2/(e*g*x^2+d*f+(d*g+e*f)*x),x)","\int \frac{1}{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{g x +f}}}+a \right)^{2} \left(e g \,x^{2}+d f +\left(d g +e f \right) x \right)}\, dx"," ",0,"int(1/(b*F^((e*x+d)^(1/2)/(g*x+f)^(1/2)*c)+a)^2/(e*g*x^2+d*f+(d*g+e*f)*x),x)","F"
550,0,0,45,0.114000," ","int((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^n/(-e^2*x^2+d^2),x)","\int \frac{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{-e f x +d f}}}+a \right)^{n}}{-e^{2} x^{2}+d^{2}}\, dx"," ",0,"int((a+b*F^(c*(e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)))^n/(-e^2*x^2+d^2),x)","F"
551,0,0,136,0.105000," ","int((b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)^3/(-e^2*x^2+d^2),x)","\int \frac{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{-e f x +d f}}}+a \right)^{3}}{-e^{2} x^{2}+d^{2}}\, dx"," ",0,"int((b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)^3/(-e^2*x^2+d^2),x)","F"
552,0,0,98,0.104000," ","int((b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)^2/(-e^2*x^2+d^2),x)","\int \frac{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{-e f x +d f}}}+a \right)^{2}}{-e^{2} x^{2}+d^{2}}\, dx"," ",0,"int((b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)^2/(-e^2*x^2+d^2),x)","F"
553,0,0,60,0.106000," ","int((b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)/(-e^2*x^2+d^2),x)","\int \frac{b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{-e f x +d f}}}+a}{-e^{2} x^{2}+d^{2}}\, dx"," ",0,"int((b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)/(-e^2*x^2+d^2),x)","F"
554,1,32,14,0.009000," ","int(1/(-e^2*x^2+d^2),x)","-\frac{\ln \left(e x -d \right)}{2 d e}+\frac{\ln \left(e x +d \right)}{2 d e}"," ",0,"-1/2/d/e*ln(e*x-d)+1/2/d/e*ln(e*x+d)","B"
555,0,0,45,0.107000," ","int(1/(b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)/(-e^2*x^2+d^2),x)","\int \frac{1}{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{-e f x +d f}}}+a \right) \left(-e^{2} x^{2}+d^{2}\right)}\, dx"," ",0,"int(1/(b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)/(-e^2*x^2+d^2),x)","F"
556,0,0,45,0.105000," ","int(1/(b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)^2/(-e^2*x^2+d^2),x)","\int \frac{1}{\left(b \,F^{\frac{\sqrt{e x +d}\, c}{\sqrt{-e f x +d f}}}+a \right)^{2} \left(-e^{2} x^{2}+d^{2}\right)}\, dx"," ",0,"int(1/(b*F^((e*x+d)^(1/2)/(-e*f*x+d*f)^(1/2)*c)+a)^2/(-e^2*x^2+d^2),x)","F"
557,0,0,66,0.110000," ","int((F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))^n/(-a^2*x^2+1),x)","\int \frac{\left(F^{\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}}\right)^{n}}{-a^{2} x^{2}+1}\, dx"," ",0,"int((F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))^n/(-a^2*x^2+1),x)","F"
558,0,0,25,0.100000," ","int(F^(3*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","\int \frac{F^{\frac{3 \sqrt{-a x +1}}{\sqrt{a x +1}}}}{-a^{2} x^{2}+1}\, dx"," ",0,"int(F^(3*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","F"
559,0,0,25,0.100000," ","int(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","\int \frac{F^{\frac{2 \sqrt{-a x +1}}{\sqrt{a x +1}}}}{-a^{2} x^{2}+1}\, dx"," ",0,"int(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","F"
560,0,0,24,0.102000," ","int(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","\int \frac{F^{\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}}}{-a^{2} x^{2}+1}\, dx"," ",0,"int(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2))/(-a^2*x^2+1),x)","F"
561,0,0,25,0.099000," ","int(1/(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x)","\int \frac{F^{-\frac{\sqrt{-a x +1}}{\sqrt{a x +1}}}}{-a^{2} x^{2}+1}\, dx"," ",0,"int(1/(F^((-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x)","F"
562,0,0,25,0.103000," ","int(1/(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x)","\int \frac{F^{-\frac{2 \sqrt{-a x +1}}{\sqrt{a x +1}}}}{-a^{2} x^{2}+1}\, dx"," ",0,"int(1/(F^(2*(-a*x+1)^(1/2)/(a*x+1)^(1/2)))/(-a^2*x^2+1),x)","F"
563,1,69,49,0.010000," ","int(a^x*b^x*x^2,x)","\frac{\left(x^{2} \ln \left(a \right)^{2}+2 x^{2} \ln \left(a \right) \ln \left(b \right)+x^{2} \ln \left(b \right)^{2}-2 x \ln \left(a \right)-2 x \ln \left(b \right)+2\right) a^{x} b^{x}}{\left(\ln \left(a \right)+\ln \left(b \right)\right) \left(\ln \left(a \right)^{2}+2 \ln \left(a \right) \ln \left(b \right)+\ln \left(b \right)^{2}\right)}"," ",0,"(ln(a)^2*x^2+2*ln(a)*ln(b)*x^2+ln(b)^2*x^2-2*ln(a)*x-2*ln(b)*x+2)*a^x*b^x/(ln(a)+ln(b))/(ln(a)^2+2*ln(a)*ln(b)+ln(b)^2)","A"
564,1,25,31,0.007000," ","int(a^x*b^x*x,x)","\frac{\left(x \ln \left(a \right)+x \ln \left(b \right)-1\right) a^{x} b^{x}}{\left(\ln \left(a \right)+\ln \left(b \right)\right)^{2}}"," ",0,"(x*ln(b)+x*ln(a)-1)*a^x*b^x/(ln(a)+ln(b))^2","A"
565,1,15,14,0.005000," ","int(a^x*b^x,x)","\frac{a^{x} b^{x}}{\ln \left(a \right)+\ln \left(b \right)}"," ",0,"a^x*b^x/(ln(a)+ln(b))","A"
566,1,56,8,0.064000," ","int(a^x*b^x/x,x)","-\Ei \left(1, -\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)\right)+\ln \left(x \right)-\ln \left(-\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)\right)+\ln \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)+\ln \left(\ln \left(b \right)\right)+i \pi"," ",0,"-ln(-x*ln(b)*(1+ln(a)/ln(b)))-Ei(1,-x*ln(b)*(1+ln(a)/ln(b)))+ln(x)+I*Pi+ln(ln(b))+ln(1+ln(a)/ln(b))","C"
567,1,160,26,0.066000," ","int(a^x*b^x/x^2,x)","-\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) \left(\Ei \left(1, -\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)\right)-\ln \left(x \right)+\ln \left(-\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)\right)-\ln \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)-\ln \left(\ln \left(b \right)\right)+\frac{{\mathrm e}^{\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)}}{\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)}-\frac{2 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)+2}{2 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)}+\frac{1}{\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)}+1-i \pi \right) \ln \left(b \right)"," ",0,"-ln(b)*(ln(a)/ln(b)+1)*(-1/2/(ln(a)/ln(b)+1)/x/ln(b)*(2+2*(ln(a)/ln(b)+1)*x*ln(b))+1/(ln(a)/ln(b)+1)/x/ln(b)*exp((ln(a)/ln(b)+1)*x*ln(b))+ln(-(ln(a)/ln(b)+1)*x*ln(b))+Ei(1,-(ln(a)/ln(b)+1)*x*ln(b))+1-ln(x)-I*Pi-ln(ln(b))-ln(ln(a)/ln(b)+1)+1/x/ln(b)/(ln(a)/ln(b)+1))","C"
568,1,225,45,0.069000," ","int(a^x*b^x/x^3,x)","\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)^{2} \left(-\frac{\Ei \left(1, -\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)\right)}{2}+\frac{\ln \left(x \right)}{2}-\frac{\ln \left(-\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)\right)}{2}+\frac{\ln \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)}{2}+\frac{\ln \left(\ln \left(b \right)\right)}{2}-\frac{1}{\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)}-\frac{\left(3 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)+3\right) {\mathrm e}^{\left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)}}{6 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)^{2} x^{2} \ln \left(b \right)^{2}}+\frac{9 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)^{2} x^{2} \ln \left(b \right)^{2}+12 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right) x \ln \left(b \right)+6}{12 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)^{2} x^{2} \ln \left(b \right)^{2}}-\frac{1}{2 \left(\frac{\ln \left(a \right)}{\ln \left(b \right)}+1\right)^{2} x^{2} \ln \left(b \right)^{2}}-\frac{3}{4}+\frac{i \pi}{2}\right) \ln \left(b \right)^{2}"," ",0,"ln(b)^2*(ln(a)/ln(b)+1)^2*(1/12/(ln(a)/ln(b)+1)^2/x^2/ln(b)^2*(9*(ln(a)/ln(b)+1)^2*x^2*ln(b)^2+12*(ln(a)/ln(b)+1)*x*ln(b)+6)-1/6/(ln(a)/ln(b)+1)^2/x^2/ln(b)^2*(3+3*(ln(a)/ln(b)+1)*x*ln(b))*exp((ln(a)/ln(b)+1)*x*ln(b))-1/2*ln(-(ln(a)/ln(b)+1)*x*ln(b))-1/2*Ei(1,-(ln(a)/ln(b)+1)*x*ln(b))-3/4+1/2*ln(x)+1/2*I*Pi+1/2*ln(ln(b))+1/2*ln(ln(a)/ln(b)+1)-1/2/x^2/ln(b)^2/(ln(a)/ln(b)+1)^2-1/(ln(a)/ln(b)+1)/x/ln(b))","C"
569,1,20,19,0.006000," ","int(a^x*b^x*c^x,x)","\frac{a^{x} b^{x} c^{x}}{\ln \left(a \right)+\ln \left(b \right)+\ln \left(c \right)}"," ",0,"a^x*b^x*c^x/(ln(a)+ln(b)+ln(c))","A"
570,1,19,18,0.005000," ","int(a^x/(b^x),x)","\frac{a^{x} b^{-x}}{\ln \left(a \right)-\ln \left(b \right)}"," ",0,"a^x/(b^x)/(ln(a)-ln(b))","A"
571,1,73,61,0.008000," ","int(a^x*x^2/(b^x),x)","\frac{\left(x^{2} \ln \left(a \right)^{2}-2 x^{2} \ln \left(a \right) \ln \left(b \right)+x^{2} \ln \left(b \right)^{2}-2 x \ln \left(a \right)+2 x \ln \left(b \right)+2\right) a^{x} b^{-x}}{\left(\ln \left(a \right)-\ln \left(b \right)\right) \left(\ln \left(a \right)^{2}-2 \ln \left(a \right) \ln \left(b \right)+\ln \left(b \right)^{2}\right)}"," ",0,"(x^2*ln(a)^2-2*x^2*ln(a)*ln(b)+x^2*ln(b)^2-2*x*ln(a)+2*x*ln(b)+2)*a^x/(ln(a)-ln(b))/(ln(a)^2-2*ln(a)*ln(b)+ln(b)^2)/(b^x)","A"
572,0,0,692,0.532000," ","int((d+e*exp(i*x+h))*(g*x+f)^3/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x)","\int \frac{\left(e \,{\mathrm e}^{i x +h}+d \right) \left(g x +f \right)^{3}}{b \,{\mathrm e}^{i x +h}+c \,{\mathrm e}^{2 i x +2 h}+a}\, dx"," ",0,"int((d+e*exp(i*x+h))*(g*x+f)^3/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x)","F"
573,0,0,537,0.408000," ","int((e*exp(i*x+h)+d)*(g*x+f)^2/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a),x)","\int \frac{\left(e \,{\mathrm e}^{i x +h}+d \right) \left(g x +f \right)^{2}}{b \,{\mathrm e}^{i x +h}+c \,{\mathrm e}^{2 i x +2 h}+a}\, dx"," ",0,"int((e*exp(i*x+h)+d)*(g*x+f)^2/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a),x)","F"
574,1,1249,382,0.046000," ","int((e*exp(i*x+h)+d)*(g*x+f)/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a),x)","-\frac{b d g x \,{\mathrm e}^{h} \ln \left(\frac{-2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{2 \sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, a i}+\frac{b d g x \,{\mathrm e}^{h} \ln \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{2 \sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, a i}+\frac{e g x \,{\mathrm e}^{h} \ln \left(\frac{-2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, i}-\frac{e g x \,{\mathrm e}^{h} \ln \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, i}-\frac{b d f \arctan \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}\, a i}+\frac{d g \,x^{2}}{2 a}+\frac{2 e f \arctan \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}\, i}-\frac{b d g \dilog \left(\frac{-2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{2 \sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, a \,i^{2}}+\frac{b d g \dilog \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{2 \sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, a \,i^{2}}-\frac{d g x \ln \left(\frac{-2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{2 a i}-\frac{d g x \ln \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{2 a i}+\frac{e g \dilog \left(\frac{-2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, i^{2}}-\frac{e g \dilog \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}\, i^{2}}-\frac{d f \ln \left(b \,{\mathrm e}^{h} {\mathrm e}^{i x}+c \,{\mathrm e}^{2 h} {\mathrm e}^{2 i x}+a \right)}{2 a i}+\frac{d f \ln \left({\mathrm e}^{i x}\right)}{a i}-\frac{d g \dilog \left(\frac{-2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{-b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{2 a \,i^{2}}-\frac{d g \dilog \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}{b \,{\mathrm e}^{h}+\sqrt{-4 a c \,{\mathrm e}^{2 h}+b^{2} {\mathrm e}^{2 h}}}\right)}{2 a \,i^{2}}"," ",0,"-1/2*d*f/i/a*ln(a+b*exp(i*x)*exp(h)+c*exp(i*x)^2*exp(2*h))-d*f/i/a*exp(h)*b/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2)*arctan((exp(h)*b+2*exp(2*h)*exp(i*x)*c)/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2))+d*f/i/a*ln(exp(i*x))-1/2*d*g/i/a*x/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*ln((-2*exp(2*h)*exp(i*x)*c-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))*exp(h)*b+1/2*d*g/i/a*x/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*ln((2*exp(2*h)*exp(i*x)*c+exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))*exp(h)*b-1/2*d*g/i/a*x*ln((-2*exp(2*h)*exp(i*x)*c-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))-1/2*d*g/i/a*x*ln((2*exp(2*h)*exp(i*x)*c+exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))-1/2*d*g/i^2/a/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*dilog((-2*exp(2*h)*exp(i*x)*c-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))*exp(h)*b+1/2*d*g/i^2/a/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*dilog((2*exp(2*h)*exp(i*x)*c+exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))*exp(h)*b-1/2*d*g/i^2/a*dilog((-2*exp(2*h)*exp(i*x)*c-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))-1/2*d*g/i^2/a*dilog((2*exp(2*h)*exp(i*x)*c+exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))+1/2*d*g*x^2/a+2*e*exp(h)*f/i/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2)*arctan((exp(h)*b+2*exp(2*h)*exp(i*x)*c)/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2))+e*exp(h)*g/i*x/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*ln((-2*exp(2*h)*exp(i*x)*c-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))-e*exp(h)*g/i*x/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*ln((2*exp(2*h)*exp(i*x)*c+exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))+e*exp(h)*g/i^2/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*dilog((-2*exp(2*h)*exp(i*x)*c-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(-exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))-e*exp(h)*g/i^2/(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)*dilog((2*exp(2*h)*exp(i*x)*c+exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2))/(exp(h)*b+(exp(h)^2*b^2-4*a*c*exp(2*h))^(1/2)))","B"
575,1,183,86,0.024000," ","int((e*exp(i*x+h)+d)/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a),x)","-\frac{b d \arctan \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}\, a i}+\frac{2 e \arctan \left(\frac{2 c \,{\mathrm e}^{i x} {\mathrm e}^{2 h}+b \,{\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}}\right) {\mathrm e}^{h}}{\sqrt{4 a c \,{\mathrm e}^{2 h}-b^{2} {\mathrm e}^{2 h}}\, i}-\frac{d \ln \left(b \,{\mathrm e}^{h} {\mathrm e}^{i x}+c \,{\mathrm e}^{2 h} {\mathrm e}^{2 i x}+a \right)}{2 a i}+\frac{d \ln \left({\mathrm e}^{i x}\right)}{a i}"," ",0,"-1/2*d/i/a*ln(a+b*exp(h)*exp(i*x)+c*exp(i*x)^2*exp(2*h))-d/i/a*exp(h)*b/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2)*arctan((2*c*exp(i*x)*exp(2*h)+b*exp(h))/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2))+d/i/a*ln(exp(i*x))+2*e*exp(h)/i/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2)*arctan((2*c*exp(i*x)*exp(2*h)+b*exp(h))/(4*a*c*exp(2*h)-exp(h)^2*b^2)^(1/2))","B"
576,0,0,77,0.239000," ","int((e*exp(i*x+h)+d)/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a)/(g*x+f),x)","\int \frac{e \,{\mathrm e}^{i x +h}+d}{\left(b \,{\mathrm e}^{i x +h}+c \,{\mathrm e}^{2 i x +2 h}+a \right) \left(g x +f \right)}\, dx"," ",0,"int((e*exp(i*x+h)+d)/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a)/(g*x+f),x)","F"
577,0,0,77,0.288000," ","int((e*exp(i*x+h)+d)/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a)/(g*x+f)^2,x)","\int \frac{e \,{\mathrm e}^{i x +h}+d}{\left(b \,{\mathrm e}^{i x +h}+c \,{\mathrm e}^{2 i x +2 h}+a \right) \left(g x +f \right)^{2}}\, dx"," ",0,"int((e*exp(i*x+h)+d)/(b*exp(i*x+h)+c*exp(2*i*x+2*h)+a)/(g*x+f)^2,x)","F"
578,1,285,128,0.050000," ","int((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)","\frac{x^{2}}{2}-\frac{x \ln \left(\frac{b \,{\mathrm e}^{d x} {\mathrm e}^{2 c}+a \,{\mathrm e}^{c}-\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}{a \,{\mathrm e}^{c}-\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}\right)}{2 d}-\frac{x \ln \left(\frac{b \,{\mathrm e}^{d x} {\mathrm e}^{2 c}+a \,{\mathrm e}^{c}+\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}{a \,{\mathrm e}^{c}+\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}\right)}{2 d}-\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x} {\mathrm e}^{2 c}+a \,{\mathrm e}^{c}-\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}{a \,{\mathrm e}^{c}-\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}\right)}{2 d^{2}}-\frac{\dilog \left(\frac{b \,{\mathrm e}^{d x} {\mathrm e}^{2 c}+a \,{\mathrm e}^{c}+\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}{a \,{\mathrm e}^{c}+\sqrt{a^{2} {\mathrm e}^{2 c}+b^{2} {\mathrm e}^{2 c}}}\right)}{2 d^{2}}"," ",0,"-1/2/d*x*ln((exp(2*c)*exp(d*x)*b+exp(c)*a-(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2))/(exp(c)*a-(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2)))-1/2/d*x*ln((exp(2*c)*exp(d*x)*b+exp(c)*a+(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2))/(exp(c)*a+(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2)))-1/2/d^2*dilog((exp(2*c)*exp(d*x)*b+exp(c)*a-(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2))/(exp(c)*a-(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2)))-1/2/d^2*dilog((exp(2*c)*exp(d*x)*b+exp(c)*a+(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2))/(exp(c)*a+(exp(c)^2*a^2+exp(2*c)*b^2)^(1/2)))+1/2*x^2","B"
579,0,0,66,0.056000," ","int(F^(a+b*ln(c+d*x^n))*x^2,x)","\int x^{2} F^{b \ln \left(d \,x^{n}+c \right)+a}\, dx"," ",0,"int(F^(a+b*ln(c+d*x^n))*x^2,x)","F"
580,0,0,66,0.053000," ","int(F^(b*ln(d*x^n+c)+a)*x,x)","\int x \,F^{b \ln \left(d \,x^{n}+c \right)+a}\, dx"," ",0,"int(F^(b*ln(d*x^n+c)+a)*x,x)","F"
581,0,0,59,0.093000," ","int(F^(b*ln(d*x^n+c)+a),x)","\int F^{b \ln \left(d \,x^{n}+c \right)+a}\, dx"," ",0,"int(F^(b*ln(d*x^n+c)+a),x)","F"
582,0,0,59,0.155000," ","int(F^(b*ln(d*x^n+c)+a)/x,x)","\int \frac{F^{b \ln \left(d \,x^{n}+c \right)+a}}{x}\, dx"," ",0,"int(F^(b*ln(d*x^n+c)+a)/x,x)","F"
583,0,0,66,0.052000," ","int(F^(b*ln(d*x^n+c)+a)/x^2,x)","\int \frac{F^{b \ln \left(d \,x^{n}+c \right)+a}}{x^{2}}\, dx"," ",0,"int(F^(b*ln(d*x^n+c)+a)/x^2,x)","F"
584,0,0,66,0.051000," ","int(F^(b*ln(d*x^n+c)+a)/x^3,x)","\int \frac{F^{b \ln \left(d \,x^{n}+c \right)+a}}{x^{3}}\, dx"," ",0,"int(F^(b*ln(d*x^n+c)+a)/x^3,x)","F"
585,0,0,80,0.081000," ","int(F^(b*ln(d*x^n+c)+a)*(d*x)^m,x)","\int F^{b \ln \left(d \,x^{n}+c \right)+a} \left(d x \right)^{m}\, dx"," ",0,"int(F^(b*ln(d*x^n+c)+a)*(d*x)^m,x)","F"
586,0,0,70,0.109000," ","int(exp(ln((e*x+d)^n)^2)*(e*x+d)^m,x)","\int \left(e x +d \right)^{m} {\mathrm e}^{\ln \left(\left(e x +d \right)^{n}\right)^{2}}\, dx"," ",0,"int(exp(ln((e*x+d)^n)^2)*(e*x+d)^m,x)","F"
587,0,0,119,84.216000," ","int(F^(f*(a+b*ln(c*(e*x+d)^n)^2))*(e*g*x+d*g)^m,x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f} \left(e g x +d g \right)^{m}\, dx"," ",0,"int(F^(f*(a+b*ln(c*(e*x+d)^n)^2))*(e*g*x+d*g)^m,x)","F"
588,0,0,106,0.360000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(e*g*x+d*g)^2,x)","\int \left(e g x +d g \right)^{2} F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(e*g*x+d*g)^2,x)","F"
589,0,0,101,0.386000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(e*g*x+d*g),x)","\int \left(e g x +d g \right) F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(e*g*x+d*g),x)","F"
590,0,0,99,0.177000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f),x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f),x)","F"
591,-1,0,51,180.000000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(e*g*x+d*g),x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}}{e g x +d g}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(e*g*x+d*g),x)","F"
592,0,0,102,0.608000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(e*g*x+d*g)^2,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}}{\left(e g x +d g \right)^{2}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(e*g*x+d*g)^2,x)","F"
593,0,0,101,0.765000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(e*g*x+d*g)^3,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}}{\left(e g x +d g \right)^{3}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(e*g*x+d*g)^3,x)","F"
594,0,0,30,0.863000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g)^m,x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f} \left(h x +g \right)^{m}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g)^m,x)","F"
595,0,0,439,0.699000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g)^3,x)","\int \left(h x +g \right)^{3} F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g)^3,x)","F"
596,0,0,324,0.645000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g)^2,x)","\int \left(h x +g \right)^{2} F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g)^2,x)","F"
597,0,0,209,0.673000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g),x)","\int \left(h x +g \right) F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)*(h*x+g),x)","F"
598,0,0,99,0.015000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f),x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f),x)","F"
599,0,0,30,0.531000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(h*x+g),x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}}{h x +g}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(h*x+g),x)","F"
600,0,0,30,0.604000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(h*x+g)^2,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(h*x+g)^2,x)","F"
601,0,0,30,0.849000," ","int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(h*x+g)^3,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)^{2}+a \right) f}}{\left(h x +g \right)^{3}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)^2+a)*f)/(h*x+g)^3,x)","F"
602,-1,0,139,180.000000," ","int(F^(f*(a+b*ln(c*(e*x+d)^n))^2)*(e*g*x+d*g)^m,x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f} \left(e g x +d g \right)^{m}\, dx"," ",0,"int(F^(f*(a+b*ln(c*(e*x+d)^n))^2)*(e*g*x+d*g)^m,x)","F"
603,0,0,120,0.589000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(e*g*x+d*g)^2,x)","\int \left(e g x +d g \right)^{2} F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(e*g*x+d*g)^2,x)","F"
604,0,0,112,0.611000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(e*g*x+d*g),x)","\int \left(e g x +d g \right) F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(e*g*x+d*g),x)","F"
605,0,0,111,0.331000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f),x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f),x)","F"
606,-1,0,54,180.000000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(e*g*x+d*g),x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}}{e g x +d g}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(e*g*x+d*g),x)","F"
607,0,0,113,0.747000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(e*g*x+d*g)^2,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}}{\left(e g x +d g \right)^{2}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(e*g*x+d*g)^2,x)","F"
608,0,0,114,0.987000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(e*g*x+d*g)^3,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}}{\left(e g x +d g \right)^{3}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(e*g*x+d*g)^3,x)","F"
609,0,0,30,1.020000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g)^m,x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f} \left(h x +g \right)^{m}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g)^m,x)","F"
610,0,0,488,0.782000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g)^3,x)","\int \left(h x +g \right)^{3} F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g)^3,x)","F"
611,0,0,361,0.779000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g)^2,x)","\int \left(h x +g \right)^{2} F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g)^2,x)","F"
612,0,0,232,0.799000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g),x)","\int \left(h x +g \right) F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)*(h*x+g),x)","F"
613,0,0,111,0.024000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f),x)","\int F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f),x)","F"
614,0,0,30,0.669000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(h*x+g),x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}}{h x +g}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(h*x+g),x)","F"
615,0,0,30,0.754000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(h*x+g)^2,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}}{\left(h x +g \right)^{2}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(h*x+g)^2,x)","F"
616,0,0,30,1.038000," ","int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(h*x+g)^3,x)","\int \frac{F^{\left(b \ln \left(c \left(e x +d \right)^{n}\right)+a \right)^{2} f}}{\left(h x +g \right)^{3}}\, dx"," ",0,"int(F^((b*ln(c*(e*x+d)^n)+a)^2*f)/(h*x+g)^3,x)","F"
617,1,18,17,0.030000," ","int(F^(c*x^3+b*x+a)*(3*c*x^2+b),x)","\frac{F^{c \,x^{3}+b x +a}}{\ln \left(F \right)}"," ",0,"F^(c*x^3+b*x+a)/ln(F)","A"
618,1,21,20,0.028000," ","int(F^(1/(c*x^2+b*x+a))*(2*c*x+b)/(c*x^2+b*x+a)^2,x)","-\frac{F^{\frac{1}{c \,x^{2}+b x +a}}}{\ln \left(F \right)}"," ",0,"-F^(1/(c*x^2+b*x+a))/ln(F)","A"
619,0,0,49,1.024000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^m,x)","\int \left(2 c x +b \right) \left(c \,x^{2}+b x +a \right)^{m} {\mathrm e}^{c \,x^{2}+b x +a}\, dx"," ",0,"int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^m,x)","F"
620,1,145,86,0.029000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^3,x)","\left(c^{3} x^{6}+3 b \,c^{2} x^{5}+3 a \,c^{2} x^{4}+3 b^{2} c \,x^{4}+6 a b c \,x^{3}+b^{3} x^{3}-3 c^{2} x^{4}+3 a^{2} c \,x^{2}+3 a \,b^{2} x^{2}-6 b c \,x^{3}+3 a^{2} b x -6 a c \,x^{2}-3 b^{2} x^{2}+a^{3}-6 a b x +6 c \,x^{2}-3 a^{2}+6 b x +6 a -6\right) {\mathrm e}^{c \,x^{2}+b x +a}"," ",0,"(c^3*x^6+3*b*c^2*x^5+3*a*c^2*x^4+3*b^2*c*x^4+6*a*b*c*x^3+b^3*x^3-3*c^2*x^4+3*a^2*c*x^2+3*a*b^2*x^2-6*b*c*x^3+3*a^2*b*x-6*a*c*x^2-3*b^2*x^2+a^3-6*a*b*x+6*c*x^2-3*a^2+6*b*x+6*a-6)*exp(c*x^2+b*x+a)","A"
621,1,64,61,0.029000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^2,x)","\left(c^{2} x^{4}+2 b c \,x^{3}+2 a c \,x^{2}+b^{2} x^{2}+2 a b x -2 c \,x^{2}+a^{2}-2 b x -2 a +2\right) {\mathrm e}^{c \,x^{2}+b x +a}"," ",0,"(c^2*x^4+2*b*c*x^3+2*a*c*x^2+b^2*x^2+2*a*b*x-2*c*x^2+a^2-2*b*x-2*a+2)*exp(c*x^2+b*x+a)","A"
622,1,24,36,0.025000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a),x)","\left(c \,x^{2}+b x +a -1\right) {\mathrm e}^{c \,x^{2}+b x +a}"," ",0,"(c*x^2+b*x+a-1)*exp(c*x^2+b*x+a)","A"
623,1,12,11,0.028000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b),x)","{\mathrm e}^{c \,x^{2}+b x +a}"," ",0,"exp(c*x^2+b*x+a)","A"
624,1,19,11,0.033000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a),x)","-\Ei \left(1, -c \,x^{2}-b x -a \right)"," ",0,"-Ei(1,-c*x^2-b*x-a)","A"
625,1,45,37,0.034000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^2,x)","-\Ei \left(1, -c \,x^{2}-b x -a \right)-\frac{{\mathrm e}^{c \,x^{2}+b x +a}}{c \,x^{2}+b x +a}"," ",0,"-exp(c*x^2+b*x+a)/(c*x^2+b*x+a)-Ei(1,-c*x^2-b*x-a)","A"
626,1,70,64,0.033000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^3,x)","-\frac{\Ei \left(1, -c \,x^{2}-b x -a \right)}{2}-\frac{{\mathrm e}^{c \,x^{2}+b x +a}}{2 \left(c \,x^{2}+b x +a \right)^{2}}-\frac{{\mathrm e}^{c \,x^{2}+b x +a}}{2 \left(c \,x^{2}+b x +a \right)}"," ",0,"-1/2*exp(c*x^2+b*x+a)/(c*x^2+b*x+a)^2-1/2/(c*x^2+b*x+a)*exp(c*x^2+b*x+a)-1/2*Ei(1,-c*x^2-b*x-a)","A"
627,1,119,118,0.036000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(7/2),x)","\frac{105 \sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)}{16}+\frac{35 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} {\mathrm e}^{c \,x^{2}+b x +a}}{4}-\frac{7 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} {\mathrm e}^{c \,x^{2}+b x +a}}{2}+\left(c \,x^{2}+b x +a \right)^{\frac{7}{2}} {\mathrm e}^{c \,x^{2}+b x +a}-\frac{105 \sqrt{c \,x^{2}+b x +a}\, {\mathrm e}^{c \,x^{2}+b x +a}}{8}"," ",0,"35/4*exp(c*x^2+b*x+a)*(c*x^2+b*x+a)^(3/2)-7/2*exp(c*x^2+b*x+a)*(c*x^2+b*x+a)^(5/2)+exp(c*x^2+b*x+a)*(c*x^2+b*x+a)^(7/2)+105/16*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)-105/8*exp(c*x^2+b*x+a)*(c*x^2+b*x+a)^(1/2)","A"
628,1,94,93,0.036000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(5/2),x)","-\frac{15 \sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)}{8}-\frac{5 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} {\mathrm e}^{c \,x^{2}+b x +a}}{2}+\left(c \,x^{2}+b x +a \right)^{\frac{5}{2}} {\mathrm e}^{c \,x^{2}+b x +a}+\frac{15 \sqrt{c \,x^{2}+b x +a}\, {\mathrm e}^{c \,x^{2}+b x +a}}{4}"," ",0,"-5/2*(c*x^2+b*x+a)^(3/2)*exp(c*x^2+b*x+a)+(c*x^2+b*x+a)^(5/2)*exp(c*x^2+b*x+a)-15/8*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)+15/4*(c*x^2+b*x+a)^(1/2)*exp(c*x^2+b*x+a)","A"
629,1,69,68,0.036000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(3/2),x)","\frac{3 \sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)}{4}+\left(c \,x^{2}+b x +a \right)^{\frac{3}{2}} {\mathrm e}^{c \,x^{2}+b x +a}-\frac{3 \sqrt{c \,x^{2}+b x +a}\, {\mathrm e}^{c \,x^{2}+b x +a}}{2}"," ",0,"(c*x^2+b*x+a)^(3/2)*exp(c*x^2+b*x+a)+3/4*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)-3/2*(c*x^2+b*x+a)^(1/2)*exp(c*x^2+b*x+a)","A"
630,1,44,43,0.035000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)*(c*x^2+b*x+a)^(1/2),x)","-\frac{\sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)}{2}+\sqrt{c \,x^{2}+b x +a}\, {\mathrm e}^{c \,x^{2}+b x +a}"," ",0,"-1/2*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)+(c*x^2+b*x+a)^(1/2)*exp(c*x^2+b*x+a)","A"
631,1,18,17,0.037000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(1/2),x)","\sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)"," ",0,"erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)","A"
632,1,45,44,0.038000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(3/2),x)","2 \sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)-\frac{2 \,{\mathrm e}^{c \,x^{2}+b x +a}}{\sqrt{c \,x^{2}+b x +a}}"," ",0,"2*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)-2*exp(c*x^2+b*x+a)/(c*x^2+b*x+a)^(1/2)","A"
633,1,70,69,0.036000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(5/2),x)","\frac{4 \sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)}{3}-\frac{2 \,{\mathrm e}^{c \,x^{2}+b x +a}}{3 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{4 \,{\mathrm e}^{c \,x^{2}+b x +a}}{3 \sqrt{c \,x^{2}+b x +a}}"," ",0,"-2/3*exp(c*x^2+b*x+a)/(c*x^2+b*x+a)^(3/2)+4/3*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)-4/3/(c*x^2+b*x+a)^(1/2)*exp(c*x^2+b*x+a)","A"
634,1,95,94,0.034000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(7/2),x)","\frac{8 \sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)}{15}-\frac{2 \,{\mathrm e}^{c \,x^{2}+b x +a}}{5 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}}}-\frac{4 \,{\mathrm e}^{c \,x^{2}+b x +a}}{15 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{8 \,{\mathrm e}^{c \,x^{2}+b x +a}}{15 \sqrt{c \,x^{2}+b x +a}}"," ",0,"-2/5*exp(c*x^2+b*x+a)/(c*x^2+b*x+a)^(5/2)-4/15/(c*x^2+b*x+a)^(3/2)*exp(c*x^2+b*x+a)+8/15*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)-8/15/(c*x^2+b*x+a)^(1/2)*exp(c*x^2+b*x+a)","A"
635,1,120,119,0.036000," ","int(exp(c*x^2+b*x+a)*(2*c*x+b)/(c*x^2+b*x+a)^(9/2),x)","\frac{16 \sqrt{\pi}\, \erfi \left(\sqrt{c \,x^{2}+b x +a}\right)}{105}-\frac{2 \,{\mathrm e}^{c \,x^{2}+b x +a}}{7 \left(c \,x^{2}+b x +a \right)^{\frac{7}{2}}}-\frac{4 \,{\mathrm e}^{c \,x^{2}+b x +a}}{35 \left(c \,x^{2}+b x +a \right)^{\frac{5}{2}}}-\frac{8 \,{\mathrm e}^{c \,x^{2}+b x +a}}{105 \left(c \,x^{2}+b x +a \right)^{\frac{3}{2}}}-\frac{16 \,{\mathrm e}^{c \,x^{2}+b x +a}}{105 \sqrt{c \,x^{2}+b x +a}}"," ",0,"-2/7*exp(c*x^2+b*x+a)/(c*x^2+b*x+a)^(7/2)-4/35/(c*x^2+b*x+a)^(5/2)*exp(c*x^2+b*x+a)-8/105/(c*x^2+b*x+a)^(3/2)*exp(c*x^2+b*x+a)+16/105*erfi((c*x^2+b*x+a)^(1/2))*Pi^(1/2)-16/105/(c*x^2+b*x+a)^(1/2)*exp(c*x^2+b*x+a)","A"
636,1,37,7,0.051000," ","int(1/exp(x)/(1-1/exp(2*x))^(1/2),x)","-\frac{\sqrt{{\mathrm e}^{2 x}-1}\, \arctan \left(\frac{1}{\sqrt{{\mathrm e}^{2 x}-1}}\right) {\mathrm e}^{-x}}{\sqrt{\left({\mathrm e}^{2 x}-1\right) {\mathrm e}^{-2 x}}}"," ",0,"-1/((exp(x)^2-1)/exp(x)^2)^(1/2)/exp(x)*(exp(x)^2-1)^(1/2)*arctan(1/(exp(x)^2-1)^(1/2))","B"
637,1,8,7,0.033000," ","int(exp(x)/(4+exp(2*x)),x)","\frac{\arctan \left(\frac{{\mathrm e}^{x}}{2}\right)}{2}"," ",0,"1/2*arctan(1/2*exp(x))","A"
638,1,4,3,0.032000," ","int(exp(x)/(1-exp(2*x)),x)","\arctanh \left({\mathrm e}^{x}\right)"," ",0,"arctanh(exp(x))","A"
639,1,14,13,0.033000," ","int(exp(x)/(3-4*exp(2*x)),x)","\frac{\sqrt{3}\, \arctanh \left(\frac{2 \sqrt{3}\, {\mathrm e}^{x}}{3}\right)}{6}"," ",0,"1/6*arctanh(2/3*exp(x)*3^(1/2))*3^(1/2)","A"
640,1,26,25,0.038000," ","int(exp(x)*(3-4*exp(2*x))^(1/2),x)","\frac{3 \arcsin \left(\frac{2 \sqrt{3}\, {\mathrm e}^{x}}{3}\right)}{4}+\frac{\sqrt{-4 \,{\mathrm e}^{2 x}+3}\, {\mathrm e}^{x}}{2}"," ",0,"1/2*exp(x)*(3-4*exp(x)^2)^(1/2)+3/4*arcsin(2/3*3^(1/2)*exp(x))","A"
641,1,12,16,0.025000," ","int(exp(x^2)*x^3,x)","\frac{\left(x^{2}-1\right) {\mathrm e}^{x^{2}}}{2}"," ",0,"1/2*(x^2-1)*exp(x^2)","A"
642,1,21,20,0.035000," ","int(exp(x)*(1-exp(2*x))^(1/2),x)","\frac{\arcsin \left({\mathrm e}^{x}\right)}{2}+\frac{\sqrt{-{\mathrm e}^{2 x}+1}\, {\mathrm e}^{x}}{2}"," ",0,"1/2*exp(x)*(1-exp(x)^2)^(1/2)+1/2*arcsin(exp(x))","A"
643,1,11,12,0.040000," ","int(exp(x)/(1+exp(x)+exp(2*x))^(1/2),x)","\arcsinh \left(\frac{2 \sqrt{3}\, \left({\mathrm e}^{x}+\frac{1}{2}\right)}{3}\right)"," ",0,"arcsinh(2/3*3^(1/2)*(exp(x)+1/2))","A"
644,1,16,7,0.038000," ","int(exp(x)/(-4+exp(2*x)),x)","\frac{\ln \left({\mathrm e}^{x}-2\right)}{4}-\frac{\ln \left({\mathrm e}^{x}+2\right)}{4}"," ",0,"1/4*ln(-2+exp(x))-1/4*ln(exp(x)+2)","B"
645,1,11,10,0.023000," ","int(exp(-x^2+2)*x,x)","-\frac{{\mathrm e}^{-x^{2}+2}}{2}"," ",0,"-1/2*exp(-x^2+2)","A"
646,1,16,15,0.025000," ","int(exp(x)-x^E,x)","-\frac{x^{E +1}}{E +1}+{\mathrm e}^{x}"," ",0,"exp(x)-x^(1+E)/(1+E)","A"
647,1,18,13,0.032000," ","int((exp(2*x)-1)/(3+exp(2*x)),x)","\frac{2 \ln \left({\mathrm e}^{2 x}+3\right)}{3}-\frac{\ln \left({\mathrm e}^{2 x}\right)}{6}"," ",0,"2/3*ln(3+exp(2*x))-1/6*ln(exp(2*x))","A"
648,1,4,3,0.039000," ","int(exp(x)/(-exp(2*x)+1)^(1/2),x)","\arcsin \left({\mathrm e}^{x}\right)"," ",0,"arcsin(exp(x))","A"
649,1,8,7,0.033000," ","int(exp(2*x)/(1+exp(4*x)),x)","\frac{\arctan \left({\mathrm e}^{2 x}\right)}{2}"," ",0,"1/2*arctan(exp(x)^2)","A"
650,1,20,19,0.041000," ","int(1/(-3*exp(x)+exp(2*x)),x)","\frac{{\mathrm e}^{-x}}{3}+\frac{\ln \left({\mathrm e}^{x}-3\right)}{9}-\frac{\ln \left({\mathrm e}^{x}\right)}{9}"," ",0,"1/9*ln(exp(x)-3)+1/3/exp(x)-1/9*ln(exp(x))","A"
651,1,11,10,0.025000," ","int(exp(x)*(exp(x)-2)/(exp(x)+1),x)","{\mathrm e}^{x}-3 \ln \left({\mathrm e}^{x}+1\right)"," ",0,"exp(x)-3*ln(exp(x)+1)","A"
652,1,6,5,0.031000," ","int(exp(x)/(exp(2*x)-1),x)","-\arctanh \left({\mathrm e}^{x}\right)"," ",0,"-arctanh(exp(x))","A"
653,1,4,3,0.032000," ","int(exp(x)/(1+exp(2*x)),x)","\arctan \left({\mathrm e}^{x}\right)"," ",0,"arctan(exp(x))","A"
654,1,17,10,0.042000," ","int((exp(-x)+exp(x))/(-1/exp(x)+exp(x)),x)","\ln \left({\mathrm e}^{x}-1\right)+\ln \left({\mathrm e}^{x}+1\right)-\ln \left({\mathrm e}^{x}\right)"," ",0,"ln(-1+exp(x))+ln(exp(x)+1)-ln(exp(x))","A"
655,1,14,8,0.038000," ","int((-1/exp(x)+exp(x))/(exp(-x)+exp(x)),x)","\ln \left({\mathrm e}^{2 x}+1\right)-\ln \left({\mathrm e}^{x}\right)"," ",0,"ln(1+exp(x)^2)-ln(exp(x))","A"
656,1,30,15,0.043000," ","int((exp(-2*x)+exp(2*x))/(-1/exp(2*x)+exp(2*x)),x)","\frac{\ln \left({\mathrm e}^{x}-1\right)}{2}+\frac{\ln \left({\mathrm e}^{x}+1\right)}{2}+\frac{\ln \left({\mathrm e}^{2 x}+1\right)}{2}-\ln \left({\mathrm e}^{x}\right)"," ",0,"1/2*ln(exp(x)-1)+1/2*ln(1+exp(x)^2)+1/2*ln(exp(x)+1)-ln(exp(x))","A"
657,1,4,3,0.039000," ","int(exp(x)/(exp(2*x)+1)^(1/2),x)","\arcsinh \left({\mathrm e}^{x}\right)"," ",0,"arcsinh(exp(x))","A"
658,1,9,8,0.025000," ","int(exp((x+4)^(1/2))/(x+4)^(1/2),x)","2 \,{\mathrm e}^{\sqrt{x +4}}"," ",0,"2*exp((x+4)^(1/2))","A"
659,1,14,13,0.033000," ","int(x/(-1+exp(2*x^2))^(1/2),x)","\frac{\arctan \left(\sqrt{{\mathrm e}^{2 x^{2}}-1}\right)}{2}"," ",0,"1/2*arctan((-1+exp(2*x^2))^(1/2))","A"
660,1,21,20,0.036000," ","int(exp(x)*(9+exp(2*x))^(1/2),x)","\frac{9 \arcsinh \left(\frac{{\mathrm e}^{x}}{3}\right)}{2}+\frac{\sqrt{{\mathrm e}^{2 x}+9}\, {\mathrm e}^{x}}{2}"," ",0,"1/2*exp(x)*(9+exp(x)^2)^(1/2)+9/2*arcsinh(1/3*exp(x))","A"
661,1,19,18,0.034000," ","int(exp(x)*(exp(2*x)+1)^(1/2),x)","\frac{\arcsinh \left({\mathrm e}^{x}\right)}{2}+\frac{\sqrt{{\mathrm e}^{2 x}+1}\, {\mathrm e}^{x}}{2}"," ",0,"1/2*exp(x)*(1+exp(x)^2)^(1/2)+1/2*arcsinh(exp(x))","A"
662,1,8,7,0.033000," ","int(exp(x^2)*x/(1+exp(2*x^2)),x)","\frac{\arctan \left({\mathrm e}^{x^{2}}\right)}{2}"," ",0,"1/2*arctan(exp(x^2))","A"
663,1,17,16,0.029000," ","int(exp(x^(3/2))*x^2,x)","\frac{2 x^{\frac{3}{2}} {\mathrm e}^{x^{\frac{3}{2}}}}{3}-\frac{2 \,{\mathrm e}^{x^{\frac{3}{2}}}}{3}"," ",0,"-2/3*exp(x^(3/2))+2/3*exp(x^(3/2))*x^(3/2)","A"
664,1,13,12,0.040000," ","int(exp(x)/(-3+exp(2*x))^(1/2),x)","\ln \left({\mathrm e}^{x}+\sqrt{{\mathrm e}^{2 x}-3}\right)"," ",0,"ln(exp(x)+(-3+exp(x)^2)^(1/2))","A"
665,1,16,7,0.038000," ","int(exp(x)/(16-exp(2*x)),x)","-\frac{\ln \left({\mathrm e}^{x}-4\right)}{8}+\frac{\ln \left({\mathrm e}^{x}+4\right)}{8}"," ",0,"1/8*ln(exp(x)+4)-1/8*ln(exp(x)-4)","B"
666,1,8,7,0.032000," ","int(exp(5*x)/(1+exp(10*x)),x)","\frac{\arctan \left({\mathrm e}^{5 x}\right)}{5}"," ",0,"1/5*arctan(exp(x)^5)","A"
667,0,0,9,0.095000," ","int(exp(4*x)/(16+exp(8*x))^(1/2),x)","\int \frac{{\mathrm e}^{4 x}}{\sqrt{{\mathrm e}^{8 x}+16}}\, dx"," ",0,"int(exp(4*x)/(16+exp(8*x))^(1/2),x)","F"
668,1,53,29,0.158000," ","int(exp(4*x^3)*x^2*cos(7*x^3),x)","\frac{-\frac{4 \,{\mathrm e}^{4 x^{3}} \left(\tan^{2}\left(\frac{7 x^{3}}{2}\right)\right)}{195}+\frac{14 \,{\mathrm e}^{4 x^{3}} \tan \left(\frac{7 x^{3}}{2}\right)}{195}+\frac{4 \,{\mathrm e}^{4 x^{3}}}{195}}{\tan^{2}\left(\frac{7 x^{3}}{2}\right)+1}"," ",0,"(14/195*exp(4*x^3)*tan(7/2*x^3)-4/195*exp(4*x^3)*tan(7/2*x^3)^2+4/195*exp(4*x^3))/(1+tan(7/2*x^3)^2)","A"
669,1,9,8,0.023000," ","int(exp(x^2+1)*x,x)","\frac{{\mathrm e}^{x^{2}+1}}{2}"," ",0,"1/2*exp(x^2+1)","A"
670,1,9,8,0.023000," ","int(exp(x^3+1)*x^2,x)","\frac{{\mathrm e}^{x^{3}+1}}{3}"," ",0,"1/3*exp(x^3+1)","A"
671,1,7,6,0.024000," ","int(exp(x^(1/2))/x^(1/2),x)","2 \,{\mathrm e}^{\sqrt{x}}"," ",0,"2*exp(x^(1/2))","A"
672,1,7,6,0.024000," ","int(exp(x^(1/3))/x^(2/3),x)","3 \,{\mathrm e}^{x^{\frac{1}{3}}}"," ",0,"3*exp(x^(1/3))","A"
673,1,32,50,0.026000," ","int(exp(3*x)*(x^5+2*x^3-8),x)","\frac{\left(81 x^{5}-135 x^{4}+342 x^{3}-342 x^{2}+228 x -724\right) {\mathrm e}^{3 x}}{243}"," ",0,"1/243*exp(3*x)*(81*x^5-135*x^4+342*x^3-342*x^2+228*x-724)","A"
674,1,22,21,0.030000," ","int((exp(x)+x)^2,x)","\frac{x^{3}}{3}+2 x \,{\mathrm e}^{x}-2 \,{\mathrm e}^{x}+\frac{{\mathrm e}^{2 x}}{2}"," ",0,"1/3*x^3+1/2*exp(x)^2+2*exp(x)*x-2*exp(x)","A"
675,1,20,23,0.032000," ","int((exp(x)+exp(2*x)+exp(3*x))/exp(4*x),x)","-\frac{{\mathrm e}^{-3 x}}{3}-\frac{{\mathrm e}^{-2 x}}{2}-{\mathrm e}^{-x}"," ",0,"-1/3/exp(x)^3-1/2/exp(x)^2-1/exp(x)","A"
676,1,9,8,0.035000," ","int(exp(x)/(1+2*exp(x)+exp(2*x)),x)","-\frac{1}{{\mathrm e}^{x}+1}"," ",0,"-1/(exp(x)+1)","A"
677,1,22,21,0.085000," ","int(cos(3*x)/exp(x),x)","-\frac{\cos \left(3 x \right) {\mathrm e}^{-x}}{10}+\frac{3 \,{\mathrm e}^{-x} \sin \left(3 x \right)}{10}"," ",0,"-1/10*exp(-x)*cos(3*x)+3/10*exp(-x)*sin(3*x)","A"
678,1,16,15,0.039000," ","int(exp(2*x)/(2+3*exp(x)+exp(2*x)),x)","-\ln \left({\mathrm e}^{x}+1\right)+2 \ln \left({\mathrm e}^{x}+2\right)"," ",0,"-ln(exp(x)+1)+2*ln(exp(x)+2)","A"
679,1,11,10,0.032000," ","int(exp(2*x)/(exp(x)+1),x)","{\mathrm e}^{x}-\ln \left({\mathrm e}^{x}+1\right)"," ",0,"exp(x)-ln(exp(x)+1)","A"
680,1,22,21,0.082000," ","int(exp(3*x)*cos(5*x),x)","\frac{3 \cos \left(5 x \right) {\mathrm e}^{3 x}}{34}+\frac{5 \,{\mathrm e}^{3 x} \sin \left(5 x \right)}{34}"," ",0,"3/34*exp(3*x)*cos(5*x)+5/34*exp(3*x)*sin(5*x)","A"
681,1,5,4,0.026000," ","int(exp(x)*sech(exp(x)),x)","\arctan \left(\sinh \left({\mathrm e}^{x}\right)\right)"," ",0,"arctan(sinh(exp(x)))","A"
682,1,22,19,0.031000," ","int(1/exp(x)/(2*exp(x)+1),x)","-{\mathrm e}^{-x}+2 \ln \left(2 \,{\mathrm e}^{x}+1\right)-2 \ln \left({\mathrm e}^{x}\right)"," ",0,"2*ln(2*exp(x)+1)-1/exp(x)-2*ln(exp(x))","A"
683,1,22,21,0.123000," ","int(exp(x)*cos(4+3*x),x)","\frac{\cos \left(3 x +4\right) {\mathrm e}^{x}}{10}+\frac{3 \,{\mathrm e}^{x} \sin \left(3 x +4\right)}{10}"," ",0,"1/10*exp(x)*cos(4+3*x)+3/10*exp(x)*sin(4+3*x)","A"
684,1,28,21,0.372000," ","int(exp(x)*sec(exp(x)-1)^3,x)","\frac{\sec \left({\mathrm e}^{x}-1\right) \tan \left({\mathrm e}^{x}-1\right)}{2}+\frac{\ln \left(\sec \left({\mathrm e}^{x}-1\right)+\tan \left({\mathrm e}^{x}-1\right)\right)}{2}"," ",0,"1/2*sec(exp(x)-1)*tan(exp(x)-1)+1/2*ln(sec(exp(x)-1)+tan(exp(x)-1))","A"
685,1,23,22,0.032000," ","int((exp(-x)+exp(x))*x,x)","x \,{\mathrm e}^{x}-x \,{\mathrm e}^{-x}-{\mathrm e}^{x}-{\mathrm e}^{-x}"," ",0,"-1/exp(x)-exp(x)-x/exp(x)+x*exp(x)","A"
686,1,14,13,0.039000," ","int(exp(x)/(2+3*exp(x)+exp(2*x)),x)","\ln \left({\mathrm e}^{x}+1\right)-\ln \left({\mathrm e}^{x}+2\right)"," ",0,"ln(exp(x)+1)-ln(exp(x)+2)","A"
687,1,18,17,0.033000," ","int(exp(2*x)/(exp(x)+1)^(1/3),x)","-\frac{3 \left({\mathrm e}^{x}+1\right)^{\frac{2}{3}}}{2}+\frac{3 \left({\mathrm e}^{x}+1\right)^{\frac{5}{3}}}{5}"," ",0,"-3/2*(exp(x)+1)^(2/3)+3/5*(exp(x)+1)^(5/3)","A"
688,1,18,17,0.032000," ","int(exp(2*x)/(exp(x)+1)^(1/4),x)","-\frac{4 \left({\mathrm e}^{x}+1\right)^{\frac{3}{4}}}{3}+\frac{4 \left({\mathrm e}^{x}+1\right)^{\frac{7}{4}}}{7}"," ",0,"-4/3*(exp(x)+1)^(3/4)+4/7*(exp(x)+1)^(7/4)","A"
689,1,50,47,0.048000," ","int((-exp(x)+2*exp(2*x))/(-1-6*exp(x)+3*exp(2*x))^(1/2),x)","\frac{\sqrt{3}\, \ln \left(\frac{\left(3 \,{\mathrm e}^{x}-3\right) \sqrt{3}}{3}+\sqrt{-6 \,{\mathrm e}^{x}+3 \,{\mathrm e}^{2 x}-1}\right)}{3}+\frac{2 \sqrt{-6 \,{\mathrm e}^{x}+3 \,{\mathrm e}^{2 x}-1}}{3}"," ",0,"1/3*ln(1/3*(-3+3*exp(x))*3^(1/2)+(-1-6*exp(x)+3*exp(x)^2)^(1/2))*3^(1/2)+2/3*(-1-6*exp(x)+3*exp(x)^2)^(1/2)","A"
690,1,12,16,0.023000," ","int(exp(x)*(x^2-5*x),x)","\left(x^{2}-7 x +7\right) {\mathrm e}^{x}"," ",0,"exp(x)*(x^2-7*x+7)","A"
691,1,17,23,0.024000," ","int(exp(3*x)*(x^2-x),x)","\frac{\left(9 x^{2}-15 x +5\right) {\mathrm e}^{3 x}}{27}"," ",0,"1/27*exp(3*x)*(9*x^2-15*x+5)","A"
692,1,22,10,0.053000," ","int(exp(x^x)*x^(2*x)*(1+ln(x)),x)","{\mathrm e}^{x \ln \left(x \right)} {\mathrm e}^{{\mathrm e}^{x \ln \left(x \right)}}-{\mathrm e}^{{\mathrm e}^{x \ln \left(x \right)}}"," ",0,"exp(ln(x)*x)*exp(exp(ln(x)*x))-exp(exp(ln(x)*x))","B"
693,1,7,6,0.037000," ","int((exp(5*x)+exp(7*x))/(exp(-x)+exp(x)),x)","\frac{{\mathrm e}^{6 x}}{6}"," ",0,"1/6*exp(x)^6","A"
694,1,18,9,0.043000," ","int(x^(-2-1/x)*(1-ln(x)),x)","-x^{2} x^{-\frac{2 x +1}{x}}"," ",0,"-x^2*x^(-(2*x+1)/x)","A"
695,1,24,21,0.026000," ","int((b*exp(x)+a)^2,x)","a^{2} \ln \left({\mathrm e}^{x}\right)+2 a b \,{\mathrm e}^{x}+\frac{b^{2} {\mathrm e}^{2 x}}{2}"," ",0,"1/2*b^2*exp(x)^2+2*a*b*exp(x)+a^2*ln(exp(x))","A"
696,1,36,33,0.025000," ","int((b*exp(x)+a)^3,x)","a^{3} \ln \left({\mathrm e}^{x}\right)+3 a^{2} b \,{\mathrm e}^{x}+\frac{3 a \,b^{2} {\mathrm e}^{2 x}}{2}+\frac{b^{3} {\mathrm e}^{3 x}}{3}"," ",0,"1/3*exp(x)^3*b^3+3/2*exp(x)^2*a*b^2+3*a^2*b*exp(x)+a^3*ln(exp(x))","A"
697,1,48,45,0.025000," ","int((b*exp(x)+a)^4,x)","a^{4} \ln \left({\mathrm e}^{x}\right)+4 a^{3} b \,{\mathrm e}^{x}+3 a^{2} b^{2} {\mathrm e}^{2 x}+\frac{4 a \,b^{3} {\mathrm e}^{3 x}}{3}+\frac{b^{4} {\mathrm e}^{4 x}}{4}"," ",0,"1/4*b^4*exp(x)^4+4/3*a*b^3*exp(x)^3+3*a^2*b^2*exp(x)^2+4*a^3*b*exp(x)+a^4*ln(exp(x))","A"
698,1,26,25,0.041000," ","int(1/(b*exp(d*x+c)+a)^(1/2),x)","-\frac{2 \arctanh \left(\frac{\sqrt{b \,{\mathrm e}^{d x +c}+a}}{\sqrt{a}}\right)}{\sqrt{a}\, d}"," ",0,"-2*arctanh((b*exp(d*x+c)+a)^(1/2)/a^(1/2))/d/a^(1/2)","A"
699,1,28,27,0.041000," ","int(1/(-a+b*exp(d*x+c))^(1/2),x)","\frac{2 \arctan \left(\frac{\sqrt{b \,{\mathrm e}^{d x +c}-a}}{\sqrt{a}}\right)}{\sqrt{a}\, d}"," ",0,"2*arctan((-a+b*exp(d*x+c))^(1/2)/a^(1/2))/d/a^(1/2)","A"
700,1,42,43,0.026000," ","int((b*exp(d*x+c)+a)^(1/2),x)","\frac{-2 \sqrt{a}\, \arctanh \left(\frac{\sqrt{b \,{\mathrm e}^{d x +c}+a}}{\sqrt{a}}\right)+2 \sqrt{b \,{\mathrm e}^{d x +c}+a}}{d}"," ",0,"1/d*(2*(b*exp(d*x+c)+a)^(1/2)-2*a^(1/2)*arctanh((b*exp(d*x+c)+a)^(1/2)/a^(1/2)))","A"
701,1,48,47,0.026000," ","int((b*exp(d*x+c)-a)^(1/2),x)","-\frac{2 \sqrt{a}\, \arctan \left(\frac{\sqrt{b \,{\mathrm e}^{d x +c}-a}}{\sqrt{a}}\right)}{d}+\frac{2 \sqrt{b \,{\mathrm e}^{d x +c}-a}}{d}"," ",0,"-2*arctan((b*exp(d*x+c)-a)^(1/2)/a^(1/2))*a^(1/2)/d+2*(b*exp(d*x+c)-a)^(1/2)/d","A"
702,1,22,21,0.077000," ","int(exp(6*x)*sin(3*x),x)","-\frac{\cos \left(3 x \right) {\mathrm e}^{6 x}}{15}+\frac{2 \,{\mathrm e}^{6 x} \sin \left(3 x \right)}{15}"," ",0,"-1/15*exp(6*x)*cos(3*x)+2/15*exp(6*x)*sin(3*x)","A"
703,1,9,8,0.033000," ","int(exp(3*x)/(exp(2*x)+1),x)","-\arctan \left({\mathrm e}^{x}\right)+{\mathrm e}^{x}"," ",0,"exp(x)-arctan(exp(x))","A"
704,1,18,8,0.034000," ","int(exp(3*x)/(exp(2*x)-1),x)","{\mathrm e}^{x}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{2}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{2}"," ",0,"exp(x)+1/2*ln(exp(x)-1)-1/2*ln(exp(x)+1)","B"
705,1,15,14,0.036000," ","int(1/exp(x)/(exp(2*x)+1)^(1/2),x)","-\sqrt{{\mathrm e}^{2 x}+1}\, {\mathrm e}^{-x}"," ",0,"-1/exp(x)*(1+exp(x)^2)^(1/2)","A"
706,1,18,17,0.032000," ","int(exp(x)/(-1-8*exp(x)+exp(2*x)),x)","-\frac{\sqrt{17}\, \arctanh \left(\frac{\left(2 \,{\mathrm e}^{x}-8\right) \sqrt{17}}{34}\right)}{17}"," ",0,"-1/17*17^(1/2)*arctanh(1/34*(2*exp(x)-8)*17^(1/2))","A"
707,1,22,32,0.024000," ","int(exp(7*x)*x^3,x)","\frac{\left(343 x^{3}-147 x^{2}+42 x -6\right) {\mathrm e}^{7 x}}{2401}"," ",0,"1/2401*(343*x^3-147*x^2+42*x-6)*exp(7*x)","A"
708,1,24,40,0.025000," ","int(exp(8-2*x)*x^3,x)","-\frac{\left(4 x^{3}+6 x^{2}+6 x +3\right) {\mathrm e}^{-2 x +8}}{8}"," ",0,"-1/8*(4*x^3+6*x^2+6*x+3)*exp(8-2*x)","A"
709,1,23,22,0.037000," ","int(exp(x)*(9-exp(2*x))^(1/2),x)","\frac{9 \arcsin \left(\frac{{\mathrm e}^{x}}{3}\right)}{2}+\frac{\sqrt{-{\mathrm e}^{2 x}+9}\, {\mathrm e}^{x}}{2}"," ",0,"1/2*exp(x)*(9-exp(x)^2)^(1/2)+9/2*arcsin(1/3*exp(x))","A"
710,1,46,37,0.035000," ","int(exp(6*x)*(-exp(2*x)+9)^(1/2),x)","-\frac{36 \left(-{\mathrm e}^{2 x}+9\right)^{\frac{3}{2}} {\mathrm e}^{2 x}}{35}-\frac{\left(-{\mathrm e}^{2 x}+9\right)^{\frac{3}{2}} {\mathrm e}^{4 x}}{7}-\frac{216 \left(-{\mathrm e}^{2 x}+9\right)^{\frac{3}{2}}}{35}"," ",0,"-1/7*exp(x)^4*(9-exp(x)^2)^(3/2)-36/35*exp(x)^2*(9-exp(x)^2)^(3/2)-216/35*(9-exp(x)^2)^(3/2)","A"
711,1,62,61,0.041000," ","int(exp(6*x)/(9-exp(x))^(5/2),x)","\frac{39366}{\left(-{\mathrm e}^{x}+9\right)^{\frac{3}{2}}}+540 \left(-{\mathrm e}^{x}+9\right)^{\frac{3}{2}}-18 \left(-{\mathrm e}^{x}+9\right)^{\frac{5}{2}}+\frac{2 \left(-{\mathrm e}^{x}+9\right)^{\frac{7}{2}}}{7}-\frac{65610}{\sqrt{-{\mathrm e}^{x}+9}}-14580 \sqrt{-{\mathrm e}^{x}+9}"," ",0,"39366/(9-exp(x))^(3/2)+540*(9-exp(x))^(3/2)-18*(9-exp(x))^(5/2)+2/7*(9-exp(x))^(7/2)-65610/(9-exp(x))^(1/2)-14580*(9-exp(x))^(1/2)","A"
712,1,47,44,0.026000," ","int((2-7*exp(x^4))^5*x^3,x)","-140 \,{\mathrm e}^{x^{4}}+490 \,{\mathrm e}^{2 x^{4}}-\frac{3430 \,{\mathrm e}^{3 x^{4}}}{3}+\frac{12005 \,{\mathrm e}^{4 x^{4}}}{8}-\frac{16807 \,{\mathrm e}^{5 x^{4}}}{20}+8 \ln \left({\mathrm e}^{x^{4}}\right)"," ",0,"-16807/20*exp(x^4)^5+12005/8*exp(x^4)^4-3430/3*exp(x^4)^3+490*exp(x^4)^2-140*exp(x^4)+8*ln(exp(x^4))","A"
713,1,27,26,0.038000," ","int(exp(x^2)*x*(1-exp(2*x^2))^(1/2),x)","\frac{\arcsin \left({\mathrm e}^{x^{2}}\right)}{4}+\frac{\sqrt{-{\mathrm e}^{2 x^{2}}+1}\, {\mathrm e}^{x^{2}}}{4}"," ",0,"1/4*exp(x^2)*(1-exp(x^2)^2)^(1/2)+1/4*arcsin(exp(x^2))","A"
714,1,24,23,0.034000," ","int(exp(x^3)*(1-exp(4*x^3))^2*x^2,x)","\frac{{\mathrm e}^{x^{3}}}{3}-\frac{2 \,{\mathrm e}^{5 x^{3}}}{15}+\frac{{\mathrm e}^{9 x^{3}}}{27}"," ",0,"1/27*exp(x^3)^9-2/15*exp(x^3)^5+1/3*exp(x^3)","A"
715,1,4,3,0.033000," ","int(exp(exp(x)+x),x)","{\mathrm e}^{{\mathrm e}^{x}}"," ",0,"exp(exp(x))","A"
716,1,5,4,0.033000," ","int(exp(exp(exp(x))+exp(x)+x),x)","{\mathrm e}^{{\mathrm e}^{{\mathrm e}^{x}}}"," ",0,"exp(exp(exp(x)))","A"
717,1,17,18,0.032000," ","int((exp(-x)+exp(x))^2,x)","2 x -\frac{{\mathrm e}^{-2 x}}{2}+\frac{{\mathrm e}^{2 x}}{2}"," ",0,"2*x-1/2/exp(x)^2+1/2*exp(x)^2","A"
718,1,4,3,0.031000," ","int(1/(exp(-x)+exp(x)),x)","\arctan \left({\mathrm e}^{x}\right)"," ",0,"arctan(exp(x))","A"
719,1,11,10,0.030000," ","int(1/(exp(-x)+exp(x))^2,x)","-\frac{1}{2 \left({\mathrm e}^{2 x}+1\right)}"," ",0,"-1/2/(1+exp(x)^2)","A"
720,1,6,5,0.024000," ","int(1/(-1/exp(x)+exp(x)),x)","-\arctanh \left({\mathrm e}^{x}\right)"," ",0,"-arctanh(exp(x))","A"
721,1,11,12,0.025000," ","int(1/(-1/exp(x)+exp(x))^2,x)","-\frac{1}{2 \left({\mathrm e}^{2 x}-1\right)}"," ",0,"-1/2/(exp(x)^2-1)","A"
722,1,18,17,0.027000," ","int(exp(x)*(-1/exp(x)+exp(x))^2,x)","-2 \,{\mathrm e}^{x}-{\mathrm e}^{-x}+\frac{{\mathrm e}^{3 x}}{3}"," ",0,"1/3*exp(x)^3-2*exp(x)-1/exp(x)","A"
723,1,25,24,0.030000," ","int(exp(x)*(-1/exp(x)+exp(x))^3,x)","\frac{{\mathrm e}^{-2 x}}{2}-\frac{3 \,{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{4 x}}{4}+3 \ln \left({\mathrm e}^{x}\right)"," ",0,"1/4*exp(x)^4-3/2*exp(x)^2+1/2/exp(x)^2+3*ln(exp(x))","A"
724,1,27,22,0.091000," ","int((1+4^x)/(1+2^x),x)","x +\frac{{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right)}-\frac{2 \ln \left({\mathrm e}^{\ln \left(2\right) x}+1\right)}{\ln \left(2\right)}"," ",0,"x+1/ln(2)*exp(ln(2)*x)-2/ln(2)*ln(1+exp(ln(2)*x))","A"
725,1,40,34,0.088000," ","int((1+4^x)/(1+1/(2^x)),x)","-\frac{{\mathrm e}^{\ln \left(2\right) x}}{\ln \left(2\right)}+\frac{{\mathrm e}^{2 \ln \left(2\right) x}}{2 \ln \left(2\right)}+\frac{2 \ln \left({\mathrm e}^{\ln \left(2\right) x}+1\right)}{\ln \left(2\right)}"," ",0,"-1/ln(2)*exp(ln(2)*x)+1/2/ln(2)*exp(ln(2)*x)^2+2/ln(2)*ln(exp(ln(2)*x)+1)","A"
726,0,0,20,0.166000," ","int(exp((a+x)^2)/x^2-2*a*exp((a+x)^2)/x,x)","\int -\frac{2 a \,{\mathrm e}^{\left(a +x \right)^{2}}}{x}+\frac{{\mathrm e}^{\left(a +x \right)^{2}}}{x^{2}}\, dx"," ",0,"int(exp((a+x)^2)/x^2-2*a*exp((a+x)^2)/x,x)","F"
727,1,51,50,0.036000," ","int((x^8+x^6+x^4)/exp(x^2),x)","-\frac{x^{7} {\mathrm e}^{-x^{2}}}{2}-\frac{9 x^{5} {\mathrm e}^{-x^{2}}}{4}-\frac{49 x^{3} {\mathrm e}^{-x^{2}}}{8}-\frac{147 x \,{\mathrm e}^{-x^{2}}}{16}+\frac{147 \sqrt{\pi}\, \erf \left(x \right)}{32}"," ",0,"-147/16*x/exp(x^2)-49/8*x^3/exp(x^2)-9/4*x^5/exp(x^2)-1/2*x^7/exp(x^2)+147/32*erf(x)*Pi^(1/2)","A"
728,1,20,10,0.039000," ","int(1/(-exp(x)+exp(3*x)),x)","{\mathrm e}^{-x}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{2}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{2}"," ",0,"1/2*ln(exp(x)-1)+1/exp(x)-1/2*ln(exp(x)+1)","A"
729,1,12,14,0.024000," ","int(exp(x)*(x^2+x-5)/(x-1)^2,x)","\frac{\left(x +2\right) {\mathrm e}^{x}}{x -1}"," ",0,"1/(x-1)*(x+2)*exp(x)","A"
730,1,14,13,0.026000," ","int(exp(x^2)*x^3/(x^2+1)^2,x)","\frac{{\mathrm e}^{x^{2}}}{2 x^{2}+2}"," ",0,"1/2*exp(x^2)/(x^2+1)","A"
731,1,23,22,0.042000," ","int(exp(3*x)/(25+16*exp(2*x))^(1/2),x)","-\frac{25 \arcsinh \left(\frac{4 \,{\mathrm e}^{x}}{5}\right)}{128}+\frac{\sqrt{16 \,{\mathrm e}^{2 x}+25}\, {\mathrm e}^{x}}{32}"," ",0,"1/32*exp(x)*(25+16*exp(x)^2)^(1/2)-25/128*arcsinh(4/5*exp(x))","A"
732,1,9,8,0.028000," ","int((exp(x)+1)/(exp(x)+x)^(1/2),x)","2 \sqrt{x +{\mathrm e}^{x}}"," ",0,"2*(exp(x)+x)^(1/2)","A"
733,1,6,5,0.023000," ","int((exp(x)+1)/(x+exp(x)),x)","\ln \left(x +{\mathrm e}^{x}\right)"," ",0,"ln(x+exp(x))","A"
734,1,17,16,0.032000," ","int(exp(x^2)/x^2,x)","\sqrt{\pi}\, \erfi \left(x \right)-\frac{{\mathrm e}^{x^{2}}}{x}"," ",0,"-exp(x^2)/x+erfi(x)*Pi^(1/2)","A"
735,1,16,17,0.026000," ","int(exp(x^2)*(4*x^4+1)/x^2,x)","\frac{\left(2 x^{2}-1\right) {\mathrm e}^{x^{2}}}{x}"," ",0,"exp(x^2)*(2*x^2-1)/x","A"
736,1,60,50,0.030000," ","int((b*x+a)^2*(f^x)^(1/2),x)","\frac{2 \left(b^{2} x^{2} \ln \left(f \right)^{2}+2 a b x \ln \left(f \right)^{2}+a^{2} \ln \left(f \right)^{2}-4 b^{2} x \ln \left(f \right)-4 a b \ln \left(f \right)+8 b^{2}\right) \sqrt{f^{x}}}{\ln \left(f \right)^{3}}"," ",0,"2*(b^2*x^2*ln(f)^2+2*ln(f)^2*a*b*x+ln(f)^2*a^2-4*ln(f)*b^2*x-4*ln(f)*b*a+8*b^2)*(f^x)^(1/2)/ln(f)^3","A"
737,1,14,13,0.027000," ","int(3^(x^2+1)*x,x)","\frac{3^{x^{2}+1}}{2 \ln \left(3\right)}"," ",0,"1/2*3^(x^2+1)/ln(3)","A"
738,1,12,12,0.025000," ","int(2^(x^(1/2))/x^(1/2),x)","\frac{2 \,2^{\sqrt{x}}}{\ln \left(2\right)}"," ",0,"2/ln(2)*2^(x^(1/2))","A"
739,1,12,11,0.026000," ","int(2^(1/x)/x^2,x)","-\frac{2^{\frac{1}{x}}}{\ln \left(2\right)}"," ",0,"-2^(1/x)/ln(2)","A"
740,1,21,20,0.025000," ","int(1/(2^x)+2^x,x)","\frac{2^{x}}{\ln \left(2\right)}-\frac{2^{-x}}{\ln \left(2\right)}"," ",0,"-1/(2^x)/ln(2)+2^x/ln(2)","A"
741,1,19,29,0.025000," ","int((x^2-3*x+2)/exp(4*x),x)","-\frac{\left(8 x^{2}-20 x +11\right) {\mathrm e}^{-4 x}}{32}"," ",0,"-1/32*(8*x^2-20*x+11)/exp(4*x)","A"
742,1,28,27,0.024000," ","int(k^(1/2*x)+x^(k^(1/2)),x)","\frac{x^{\sqrt{k}+1}}{\sqrt{k}+1}+\frac{2 k^{\frac{x}{2}}}{\ln \left(k \right)}"," ",0,"2*k^(1/2*x)/ln(k)+x^(1+k^(1/2))/(1+k^(1/2))","A"
743,1,12,17,0.025000," ","int(10^(x^(1/2))/x^(1/2),x)","\frac{2 \,10^{\sqrt{x}}}{\ln \left(10\right)}"," ",0,"2/ln(10)*10^(x^(1/2))","A"
744,1,9,8,0.053000," ","int(exp(x)/(x+exp(x))^(1/2)+1/(x+exp(x))^(1/2),x)","2 \sqrt{x +{\mathrm e}^{x}}"," ",0,"2*(x+exp(x))^(1/2)","A"
745,1,10,9,0.061000," ","int((exp(x)+1)*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x)","2 \sqrt{x +{\mathrm e}^{x}}\, x"," ",0,"2*x*(x+exp(x))^(1/2)","A"
746,1,10,9,0.050000," ","int(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2)+2*(x+exp(x))^(1/2),x)","2 \sqrt{x +{\mathrm e}^{x}}\, x"," ",0,"2*(x+exp(x))^(1/2)*x","A"
747,0,0,20,0.045000," ","int((exp(x)+1)*x/(x+exp(x))^(1/2),x)","\int \frac{\left({\mathrm e}^{x}+1\right) x}{\sqrt{x +{\mathrm e}^{x}}}\, dx"," ",0,"int((exp(x)+1)*x/(x+exp(x))^(1/2),x)","F"
748,0,0,20,0.044000," ","int(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2),x)","\int \frac{x \,{\mathrm e}^{x}}{\sqrt{x +{\mathrm e}^{x}}}+\frac{x}{\sqrt{x +{\mathrm e}^{x}}}\, dx"," ",0,"int(x/(x+exp(x))^(1/2)+exp(x)*x/(x+exp(x))^(1/2),x)","F"
749,0,0,38,0.041000," ","int(1/(x+exp(x))^(1/2)*x*exp(x),x)","\int \frac{x \,{\mathrm e}^{x}}{\sqrt{x +{\mathrm e}^{x}}}\, dx"," ",0,"int(1/(x+exp(x))^(1/2)*x*exp(x),x)","F"
750,1,16,15,0.068000," ","int(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)","\frac{2 \sqrt{x^{3}+5 \,{\mathrm e}^{x}}\, x^{2}}{5}"," ",0,"2/5*x^2*(5*exp(x)+x^3)^(1/2)","A"
751,0,0,50,0.052000," ","int(exp(x)*x^2/(x^3+5*exp(x))^(1/2),x)","\int \frac{x^{2} {\mathrm e}^{x}}{\sqrt{x^{3}+5 \,{\mathrm e}^{x}}}\, dx"," ",0,"int(exp(x)*x^2/(x^3+5*exp(x))^(1/2),x)","F"
752,1,9,8,0.039000," ","int((-1-exp(x))/(x+exp(x))^(1/3),x)","-\frac{3 \left(x +{\mathrm e}^{x}\right)^{\frac{2}{3}}}{2}"," ",0,"-3/2*(x+exp(x))^(2/3)","A"
753,1,9,8,0.056000," ","int(-1/(x+exp(x))^(1/3)+x/(x+exp(x))^(1/3)-(x+exp(x))^(2/3),x)","-\frac{3 \left(x +{\mathrm e}^{x}\right)^{\frac{2}{3}}}{2}"," ",0,"-3/2*(x+exp(x))^(2/3)","A"
754,0,0,25,0.030000," ","int(x/(x+exp(x))^(1/3),x)","\int \frac{x}{\left(x +{\mathrm e}^{x}\right)^{\frac{1}{3}}}\, dx"," ",0,"int(x/(x+exp(x))^(1/3),x)","F"
755,1,10,9,0.042000," ","int((5*x+exp(x)*(2*x+3))/(x+exp(x))^(1/3),x)","3 \left(x +{\mathrm e}^{x}\right)^{\frac{2}{3}} x"," ",0,"3*x*(x+exp(x))^(2/3)","A"
756,1,10,9,0.057000," ","int(2/(x+exp(x))^(1/3)*x+2*exp(x)*x/(x+exp(x))^(1/3)+3*(x+exp(x))^(2/3),x)","3 \left(x +{\mathrm e}^{x}\right)^{\frac{2}{3}} x"," ",0,"3*(x+exp(x))^(2/3)*x","A"
757,1,23,24,0.031000," ","int(exp(x)*(-1/exp(x)+exp(x))*(exp(-x)+exp(x))^2,x)","-x +\frac{{\mathrm e}^{-2 x}}{2}+\frac{{\mathrm e}^{2 x}}{2}+\frac{{\mathrm e}^{4 x}}{4}"," ",0,"-x+1/2*exp(x)^2+1/4*exp(x)^4+1/2/exp(x)^2","A"
758,0,0,10,0.035000," ","int(x/(x+exp(x)),x)","\int \frac{x}{x +{\mathrm e}^{x}}\, dx"," ",0,"int(x/(x+exp(x)),x)","F"
759,0,0,12,0.041000," ","int(x^2/(x+exp(x))^(1/2),x)","\int \frac{x^{2}}{\sqrt{x +{\mathrm e}^{x}}}\, dx"," ",0,"int(x^2/(x+exp(x))^(1/2),x)","F"
760,0,0,11,0.043000," ","int(exp(x)/(x+exp(x)),x)","\int \frac{{\mathrm e}^{x}}{x +{\mathrm e}^{x}}\, dx"," ",0,"int(exp(x)/(x+exp(x)),x)","F"
761,0,0,13,0.042000," ","int(exp(x)/(exp(x)+x^2),x)","\int \frac{{\mathrm e}^{x}}{x^{2}+{\mathrm e}^{x}}\, dx"," ",0,"int(exp(x)/(exp(x)+x^2),x)","F"
762,0,0,14,0.026000," ","int(F0(x)/(x+F0(x)),x)","\int \frac{\mathit{F0} \left(x \right)}{x +\mathit{F0} \left(x \right)}\, dx"," ",0,"int(F0(x)/(x+F0(x)),x)","F"
763,0,0,18,0.026000," ","int(F0(x)/(x^2+F0(x)),x)","\int \frac{\mathit{F0} \left(x \right)}{x^{2}+\mathit{F0} \left(x \right)}\, dx"," ",0,"int(F0(x)/(x^2+F0(x)),x)","F"
764,0,0,21,0.024000," ","int(F0(x)/(x+F0(x))^2,x)","\int \frac{\mathit{F0} \left(x \right)}{\left(x +\mathit{F0} \left(x \right)\right)^{2}}\, dx"," ",0,"int(F0(x)/(x+F0(x))^2,x)","F"
765,0,0,27,0.026000," ","int(F0(x)/(x^2+F0(x))^2,x)","\int \frac{\mathit{F0} \left(x \right)}{\left(x^{2}+\mathit{F0} \left(x \right)\right)^{2}}\, dx"," ",0,"int(F0(x)/(x^2+F0(x))^2,x)","F"
766,1,37,36,0.027000," ","int((a*F^(d*x+c))^m*(b*F^(f*x+e))^n,x)","\frac{\left(a \,F^{d x +c}\right)^{m} \left(b \,F^{f x +e}\right)^{n}}{\left(m d +f n \right) \ln \left(F \right)}"," ",0,"(a*F^(d*x+c))^m*(b*F^(f*x+e))^n/(d*m+f*n)/ln(F)","A"
767,1,241,36,0.152000," ","int(exp(a+c+b*x^n+d*x^n),x)","\frac{\left(\frac{\left(\left(-b -d \right) n \,x^{n}+n +1\right) n^{2} x^{-n +1} \left(\left(-b -d \right) x^{n}\right)^{-\frac{n +1}{2 n}} \left(-b -d \right)^{\frac{1}{n}-1} \WhittakerM \left(\frac{1}{n}-\frac{n +1}{2 n}, \frac{n +1}{2 n}+\frac{1}{2}, \left(-b -d \right) x^{n}\right) {\mathrm e}^{-\frac{\left(-b -d \right) x^{n}}{2}}}{\left(n +1\right) \left(2 n +1\right)}+\frac{\left(n +1\right) n \,x^{-n +1} \left(\left(-b -d \right) x^{n}\right)^{-\frac{n +1}{2 n}} \left(-b -d \right)^{\frac{1}{n}-1} \WhittakerM \left(\frac{1}{n}-\frac{n +1}{2 n}+1, \frac{n +1}{2 n}+\frac{1}{2}, \left(-b -d \right) x^{n}\right) {\mathrm e}^{-\frac{\left(-b -d \right) x^{n}}{2}}}{2 n +1}\right) \left(-b -d \right)^{-\frac{1}{n}} {\mathrm e}^{a +c}}{n}"," ",0,"exp(a+c)/n*(-b-d)^(-1/n)*(n^2*x^(-n+1)*(-b-d)^(1/n-1)*(n*x^n*(-b-d)+n+1)/(n+1)/(2*n+1)*(x^n*(-b-d))^(-1/2*(n+1)/n)*exp(-1/2*x^n*(-b-d))*WhittakerM(1/n-1/2*(n+1)/n,1/2*(n+1)/n+1/2,x^n*(-b-d))+n*x^(-n+1)*(-b-d)^(1/n-1)*(n+1)/(2*n+1)*(x^n*(-b-d))^(-1/2*(n+1)/n)*exp(-1/2*x^n*(-b-d))*WhittakerM(1/n-1/2*(n+1)/n+1,1/2*(n+1)/n+1/2,x^n*(-b-d)))","C"
768,0,0,50,0.260000," ","int(f^(b*x^n+a)*g^(d*x^n+c),x)","\int f^{b \,x^{n}+a} g^{d \,x^{n}+c}\, dx"," ",0,"int(f^(b*x^n+a)*g^(d*x^n+c),x)","F"
769,0,0,38,0.096000," ","int(exp(x^n)*x^m,x)","\int x^{m} {\mathrm e}^{x^{n}}\, dx"," ",0,"int(exp(x^n)*x^m,x)","F"
770,0,0,42,0.152000," ","int(f^(x^n)*x^m,x)","\int f^{x^{n}} x^{m}\, dx"," ",0,"int(f^(x^n)*x^m,x)","F"
771,0,0,53,0.215000," ","int(exp((b*x+a)^n)*(b*x+a)^m,x)","\int \left(b x +a \right)^{m} {\mathrm e}^{\left(b x +a \right)^{n}}\, dx"," ",0,"int(exp((b*x+a)^n)*(b*x+a)^m,x)","F"
772,0,0,57,0.251000," ","int(f^((b*x+a)^n)*(b*x+a)^m,x)","\int f^{\left(b x +a \right)^{n}} \left(b x +a \right)^{m}\, dx"," ",0,"int(f^((b*x+a)^n)*(b*x+a)^m,x)","F"
773,0,0,68,0.058000," ","int(exp((b*x+a)^3)*x,x)","\int x \,{\mathrm e}^{\left(b x +a \right)^{3}}\, dx"," ",0,"int(exp((b*x+a)^3)*x,x)","F"
774,0,0,14,0.038000," ","int((5*x^2+3*(x+exp(x))^(1/3)+exp(x)*(2*x^2+3*x))/x/(x+exp(x))^(1/3),x)","\int \frac{5 x^{2}+\left(2 x^{2}+3 x \right) {\mathrm e}^{x}+3 \left(x +{\mathrm e}^{x}\right)^{\frac{1}{3}}}{\left(x +{\mathrm e}^{x}\right)^{\frac{1}{3}} x}\, dx"," ",0,"int((5*x^2+3*(x+exp(x))^(1/3)+exp(x)*(2*x^2+3*x))/x/(x+exp(x))^(1/3),x)","F"